I need help PLSS. please show the method too :)

I Need Help PLSS. Please Show The Method Too :)
I Need Help PLSS. Please Show The Method Too :)
I Need Help PLSS. Please Show The Method Too :)
I Need Help PLSS. Please Show The Method Too :)
I Need Help PLSS. Please Show The Method Too :)

Answers

Answer 1

Since the distance was measured to the nearest metre, the upper bound for the distance is 101 metres.

What width is correct to the nearest cm?

1. To calculate the lower bound for Kelly's average speed, we need to divide the lower bound distance by the upper bound time. Since the distance was measured to the nearest metre, the lower bound for the distance is   [tex]99[/tex] Metres.

Since the time was measured to the nearest hundredth of a second, the upper bound for the time is  [tex]10.53[/tex] seconds. Therefore, the lower bound for Kelly's average speed is:

[tex]99/10.53 = 9.411[/tex]  metres per second (to three decimal places)

2. To calculate the upper bound for the perimeter of the regular hexagon, we need to multiply the upper bound length of a side by 6.

Since the length was measured to the nearest millimetre, the upper bound for the length is [tex]3.601 cm[/tex]  (since 3.6005 cm would round up to 3.601 cm). Therefore, the upper bound for the perimeter is:

[tex]6 x\times3.601 = 21.606 cm[/tex]   (to three decimal places)

3. To calculate the upper bound for the area of the rectangle, we need to multiply the upper bounds for the length and width. Since the length is correct to the nearest cm, the upper bound for the length is 35.5 cm (since 34.5 cm would round up to 35 cm).

Since the width is correct to the nearest cm, the upper bound for the width is 26.5 cm (since 25.5 cm would round up to 26 cm). Therefore, the upper bound for the area is:

 [tex]35.5 \times 26.5 = 942.25 cm^2[/tex] (to two decimal places)

4. To calculate the lower bound for Kelly's average speed, we need to divide the upper bound distance by the lower bound time.

Since the time was measured to the nearest hundredth of a second, the lower bound for the time is 10.51 seconds. Therefore, the lower bound

(d) To calculate the lower bound for Kelly's average speed, we need to divide the lower bound of distance by the upper bound of time.

The lower bound of distance is 99.5m (since the measurement was rounded down to the nearest metre).

The upper bound of time is 10.525s (since the measurement was rounded up to the nearest hundredth of a second).

So, the lower bound for Kelly's average speed is:

speed = distance / time [tex]= 99.5 / 10.525 = 9.45260637[/tex] ...

We need to round this to two decimal places to match the precision of the time measurement, giving us:

speed = [tex]9.45 m/s[/tex]

Therefore, the figures on the calculator display are: 99.5 ÷ 10.525 = 9.45260637... ≈ 9.45.

The length of the rectangle is measured as 645 mm correct to the nearest 5 mm. This means that the actual length could be anywhere between 642.5 mm and 647.5 mm (since rounding up or down depends on the decimal value being greater or less than 0.5 respectively).

Similarly, the width of the rectangle is measured as 400 mm correct to the nearest 5 mm. This means that the actual width could be anywhere between 397.5 mm and 402.5 mm.

5. To calculate the lower bound for the area of the rectangle, we need to find the product of the smallest possible length and width.

Smallest possible length [tex]= 642.5 mm[/tex]

Smallest possible width  [tex]= 397.5 mm[/tex]

Area = length x width

Lower bound for area = [tex]642.5 mm x 397.5 mm = 255542.5 mm²[/tex]

Rounding this off to 3 significant figures, we get the final answer as 2.56 x 10^5 mm².

Therefore, the lower bound for the area of the rectangle is [tex]2.56 x 10^5[/tex]  mm².

Learn more about width here:

https://brainly.com/question/30173060

#SPJ1


Related Questions

What percent of the customers purchased fewer than 6 flowers

Answers

Finding the percentage of consumers who bought fewer than six flowers requires figuring out what proportion of the data is below six.  [tex]40[/tex] % of customers purchased fewer than 6 flowers.

What is the parameter for calculating percent?

Based on the box plot, we can see that the minimum value is 2, and the maximum value is 12. The box plot also shows that the median (50th percentile) is between 6 and 8.

To find the percent of customers who purchased fewer than 6 flowers, we need to determine what percent of the data is below 6.

From the box plot, we can see that the lower quartile (25th percentile) is at 2, and the upper quartile (75th percentile) is at 10.

Therefore, the interquartile range (IQR) is   [tex]10 - 2 = 8.[/tex]

To find the percentage of customers who purchased fewer than 6 flowers, we need to find the percentile rank of 6.

Percentile rank = ((value below target) / (total values)) x 100

Percentile rank of   [tex]6 = ((2 / 5) \times 100) = 40[/tex]%

Therefore,  [tex]40[/tex] % of customers purchased fewer than 6 flowers.

Learn more about percent here:

https://brainly.com/question/28840349

#SPJ1

The given question is incomplete. the complete question is given below.

Rodrigo works at a flower shop. He recorded how many flowers each customer purchased

yesterday. This box plot shows the results.

Flowers purchased

++

2

6

8

10

12

What percent of the customers purchased fewer than 6 flowers?

%

Ayudaaaaa no sé cuando vaya a venir a revisar estoooolo

Answers

huh um intentaría ayudar pero no tiene mucho sentido lo siento

60 people plan to attend the dance and each person will eat 2 slices of cake. If each cake contains 8 slices, how many cakes should you order?

Answers

Answer: 15 Cakes

Step-by-step explanation:

2 slices per person, and 8 slices in 1 cake means that 4 people can share 1 cake.

So, you would do the amount of people (60) divided by the number of people that can eat 1 cake (4) to end up with ordering 15 cakes

3984 is what percent of 24.9?

Answers

Answer:

percentage = (part/whole) x 100%

where "part" is the value we are trying to express as a percentage of "whole". In this case, "part" is 3984 and "whole" is 24.9.

So we can substitute these values into the formula:

percentage = (3984/24.9) x 100%

percentage = 159.838% (rounded to three decimal places)

Therefore, 3984 is approximately 159.838% of 24.9.

Answer:

3984 is 16,000% of 24.9

Step-by-step explanation:

percentage = (3984÷24.9) x 100%

percentage = 159.838%

or percentage ≈ 16,000%

Classifying a Parallelagram

Answers

The values are, ∠BCA = 65°, ∠B = 72°,  x = 3

Define the term parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.

Given that the diagram ABCD is a parallelogram,

So, BC = AD   (parallel sides are equal)

      2x = 6

       x = 3

BC ║ AD and AC is a transversal line,

then, ∠BCA = ∠DAC    (alternate interior angle)

∠BCA = 65°

Opposite angles are equal for parallelogram then,

∠B = ∠D

∠B = 72°

Therefore, the values are, ∠BCA = 65°, ∠B = 72°,  x = 3

To know more about formula of parallelogram, visit:

https://brainly.com/question/970600

#SPJ1

The port hole in the side of a ship is in the
shape of a circle with a 2 foot diameter.
The top of the port hole is 6 feet below
the surface of the water and the density of
the water is 62.4 pounds per cubic foot.
Find the total force on this port hole due
to liquid pressure, accurate to the nearest
whole number.
[?] pounds

Answers

Answer:

the total force on the port hole due to liquid pressure is approximately 7400 pounds.

Step-by-step explanation:

The area of the circle is A = πr^2, where r = d/2 = 1 foot is the radius of the circle. So, the area is A = π(1 ft)^2 = π ft^2.

The port hole is submerged in water, with a height of 6 feet. The pressure of water at a depth of h feet is given by the formula P = ρgh, where ρ = 62.4 lb/ft^3 is the density of water, and g = 32.2 ft/s^2 is the acceleration due to gravity.

The total force on the port hole due to liquid pressure is the product of the pressure and the area of the circle, so we have:

F = P × A = ρgh × A = 62.4 lb/ft^3 × 32.2 ft/s^2 × 6 ft × π ft^2 ≈ 7400 lb

Therefore, the total force on the port hole due to liquid pressure is approximately 7400 pounds.

Answer: 578490-=356478e

Step-by-step explanation:

part of a circle is 75849=n so we use all the equations so 56748=4 we know the answer by the book page 356 then on chemestry rules.

Mary, Nick, Jane have 60$ altogether.
Mary has a fourth part and Nick has a fifth.

HOW MUCH MONEY DOES JANE HAVE??

Answers

Mary has 60/4 = 15$

Nick has 60/5 = 12$

The total amount of money that Mary and Nick have is 15$+12$ = 27$

To find out how much money Jane has, we need to subtract the total amount that Mary and Nick have from the total amount of money they have altogether:

60$ - 27$ = 33$

Therefore, Jane has 33$.

Answer: $33

Step-by-step explanation:

1/5 of $60 is 12. 1/4 of $60 is 15. 15 + 12 = 27. To find out how much money Jane has, simply subtract 60 - 27 to get $33.

Holly opened a savings account at a local bank. She deposited $1,300.00 into the account 6 years ago. If the account earns an annual simple interest rate of 6.8%, how much interest has she earned?

Answers

Answer:

Interest = $530.4

Step-by-step explanation:

We know:

Interest = Principal x Rate x Time

First, put in the numbers:

Interest = $1,300 x 6.8% x 6 years

Interest = $1,300 x [tex]\frac{6.8}{100}[/tex] x 6 years

Interest = $13 x 6.8 x 6 years

Interest = $88.4 x 6

Interest = $530.4

Brian is at the grand opening celebration of a supermarket. He spins a wheel with 10 equal-sized slices, as shown below. The wheel has 3 black slices, 3 grey slices, and 4 white slices. When the wheel is spun, the arrow stops on a slice at random. If the arrow stops on the border of two slices, the wheel is spun again. (a) If the arrow stops on a black slice, then Brian wins a gift card. Find the odds against Brian winning a gift card.​

Answers

The probability against Brian winning a gift card are approximately 3.118 to 1.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event happening is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in various fields, such as statistics, finance, science, engineering, and gaming, to make predictions and decisions based on uncertain events.

In the given question,

The probability of the arrow stopping on a black slice is 3/10. Therefore, the probability of the arrow stopping on a non-black slice is 7/10.

If the arrow stops on the border of two slices, the wheel is spun again, so Brian has another chance to win. The probability of the arrow stopping on a non-black slice is 7/10, so the probability of the arrow stopping on a black slice on the second spin is 3/7.

To find the odds against Brian winning a gift card, we first find the probability of him not winning a gift card on either spin:

P(not winning) = P(non-black on first spin) + P(black on first spin and non-black on second spin)

P(not winning) = (7/10) + (3/10) × (4/7)

P(not winning) = 0.7571

The probability of not winning is 0.7571, so the odds against winning are:

Odds against winning = P(not winning) / P(winning)

Odds against winning = 0.7571 / 0.2429

Odds against winning = 3.118

Therefore, the odds against Brian winning a gift card are approximately 3.118 to 1.

To know more about probability, visit:

https://brainly.com/question/30034780

#SPJ1

Is y= |x| + 4 a relation or function

Answers

Answer: probably a function

Step-by-step explanation:

What fraction does each person get if 8 friends share 5 apples equally?

Answers

Answer:

.625

Step-by-step explanation: calculator

Explanation: There are 8 friends and you need to chop up 5 apples. The 5 apples will be divided by 8, which comes as an answer of 58th of an apple.

You take a random token from a bag that contains 8​ red, 7​ green, and 4​ blue tokens. Let R​ be the set of red tokens, G​ green tokens, and B​ blue tokens.

What is the probability that your token is not in G​​? Enter your answer as an unsimplified fraction.

Answers

Answer:If my calculations are right it should be 18

Step-by-step explanation:

Calculate the volume of a prism with:

L = 9 in

W = 1 ¹⁄ ³ in.

H = 4 ²⁄ ³ in.

Select one:

A.
56 in³


B.
52 in³


C.
54 in³

Answers

Answer:

The volume of the prism is 54 in³.

This can be calculated by multiplying the length by the width by the height.

Which comes out to 9 in x 1 ¹⁄ ³ in x 4 ²⁄ ³ in = 54 in³.

What is the ratio of the amount spent on staff salaries to the total budget for the youth programs?

1:10
1:8
1:5
1:4
1:2

Answers

Answer:1:2

Step-by-step explanation:

How many 2-digit numbers contain the digit 7 only once

Answers

Answer:

18

Step-by-step explanation:

Counting:

07 17 27 37 47 57 67 70 71 72 73 74 75 76 78 79 87 97


notice we can ALSO use variation with no repetition equation with n=9 (numbers from 0 to 10) and p=1 (two digits) but the value can be in the first position or the second position

[tex]\frac{9!}{(9-8)!}[/tex] +  [tex]\frac{9!}{(9-8)!}[/tex][tex]=9+9=18[/tex]

An open rectangular box is to be constructed by cutting square corners out of a 16​- by 16​- inch piece of cardboard and folding up the flaps. A box formed this way is shown on the right. Find the value of x for which the volume of the box will be as large as possible.

Answers

Answer:

the value of x for which the volume of the box will be as large as possible is approximately 2.67 inches.

Step-by-step explanation:

Let x be the length of the side of the squares that are cut out of the corners of the cardboard. Then the dimensions of the base of the rectangular box will be:

Length = 16 - 2x (since two squares of side x are cut out of each end of the 16-inch length)

Width = 16 - 2x (since two squares of side x are cut out of each end of the 16-inch width)

The height of the box will be x, since that is the height of the squares that were cut out.

The volume of the box can be expressed as:

V = Length × Width × Height

V = (16 - 2x) × (16 - 2x) × x

V = 4x^3 - 64x^2 + 256x

To find the value of x that maximizes the volume of the box, we can take the derivative of V with respect to x and set it equal to zero:

dV/dx = 12x^2 - 128x + 256 = 0

We can solve this quadratic equation for x using the quadratic formula:

x = [128 ± sqrt(128^2 - 4 × 12 × 256)] / (2 × 12)

x = [128 ± sqrt(16384)] / 24

x = [128 ± 128] / 24

x = 10.67 or x = 2.67

Since x represents the length of a side of a square, it must be non-negative. Therefore, the only valid solution is x = 2.67 inches.

So, the value of x for which the volume of the box will be as large as possible is approximately 2.67 inches.

Answer: Let x be the side length of the square corners that are cut out of the cardboard. Then the dimensions of the base of the box (after the corners have been cut out and the flaps folded up) are 16-2x by 16-2x, and the height of the box is x.

The volume V of the box is given by:

V = (16-2x)(16-2x)(x)

Expanding this expression gives:

V = 4x^3 - 64x^2 + 256x

To find the value of x that maximizes V, we can take the derivative of V with respect to x and set it equal to zero:

dV/dx = 12x^2 - 128x + 256 = 0

Dividing both sides by 4 gives:

3x^2 - 32x + 64 = 0

This quadratic equation can be factored as:

(3x - 16)(x - 4) = 0

So the solutions are x = 16/3 and x = 4.

Since x must be less than half of 16 (the side length of the cardboard), we can reject x = 16/3. Therefore, the value of x that maximizes the volume of the box is x = 4 inches.

Step-by-step explanation:

Jillian worked 62 hours this week and last week. She worked x hours last week and y hours this week. She worked 20% more hours this week than last week. What pair of equations can be used to find x and y?

Answers

The pair of equations that can be used to find x and y are:

x + y = 62

(1.02)x = 7

What are the pair of equations?

The form of the pair of equations would be:

hours worked last week + hours worked this week = total hours worked both weeks equation 1

(1 + percent increase/100) x hours worked last week = hours worked this week equation 2

x + y = 62 equation 1

(1 + 20/100) ×x = y

(1.02)x = 7 equation 2

The two equations can be solved using either of these three methods:

elimination method substitution method graph method

To learn more about mathematical equations, please check: https://brainly.com/question/26427570

#SPJ1

question is in the picture . please help me ​

Answers

Answer:

C  m∠A + m∠B = 180°

Step-by-step explanation:

Because angle A and angle B are inscribed angles on the diameter they are half of 180° which is 90°

When both of these angles are added they equal 180°

A farmer notices that there is a linear relationship between the number of bean stalks, n, she plants and the yield, Y. When she plants 3 stalks, each plant yields 115 ounces of beans. When she plants 8 stalks, each plant yields 190 ounces of beans.

Answers

Answer:

Step-by-step explanation:

We can use the information given to find the equation of the line that represents the relationship between the number of bean stalks and the yield. The equation of a line is typically given by the slope-intercept form, y = mx + b, where y is the dependent variable (in this case, the yield), x is the independent variable (the number of bean stalks), m is the slope, and b is the y-intercept.

To find the slope of the line, we can use the formula:

m = (Y2 - Y1) / (n2 - n1)

where (n1, Y1) and (n2, Y2) are two points on the line. We can use the two data points given in the problem to find the slope:

m = (190 - 115) / (8 - 3) = 15

To find the y-intercept, we can use the point-slope form of a line, which is:

y - Y1 = m(x - n1)

where (n1, Y1) is one of the points on the line. We can use the point (3, 115):

y - 115 = 15(x - 3)

Simplifying:

y = 15x - 20

Therefore, the equation that represents the relationship between the number of bean stalks and the yield is:

Y = 15n - 20

This equation tells us that for each additional bean stalk planted, the yield increases by 15 ounces, and the y-intercept of -20 indicates that even if no bean stalks were planted, there would still be a yield of -20 ounces (which doesn't make physical sense in this case, but is a mathematical artifact of the linear regression).

a) Write an equation that represents the linear relationship between the number of bean stalks and the yield.

b) Use the equation to find the yield when the farmer plants 15 stalks.

a) Let's use the point-slope form of the equation of a line to represent the linear relationship between the number of bean stalks and the yield:

Y - Y1 = m(n - n1)

where Y1 and n1 are the coordinates of a point on the line, m is the slope of the line.

We can use the two data points to find the slope of the line:

m = (Y2 - Y1) / (n2 - n1)
= (190 - 115) / (8 - 3)
= 15

Using the first data point (3, 115), we can find the equation of the line:

Y - 115 = 15(n - 3)

Expanding the right side:

Y - 115 = 15n - 45

Adding 115 to both sides:

Y = 15n + 70

Therefore, the equation that represents the linear relationship between the number of bean stalks and the yield is Y = 15n + 70.

b) To find the yield when the farmer plants 15 stalks, we substitute n = 15 into the equation:

Y = 15n + 70
Y = 15(15) + 70
Y = 295

Therefore, the yield when the farmer plants 15 stalks is 295 ounces of beans.

In triangle ABC, let the angle bisectors be BY and Cz. Given AB = 8, $AY = 6, and CY = 3, find BZ and BC.

Answers

Therefore , the solution of the given problem of triangle comes out to be  BZ = (8/9) * BC = 40/9 as a result.

Exactly what is a triangle?

Due to its two or more extra sections, a trapezoid is a polygon. Its shape is a simple rectangle. Only the three edges A, B, but instead C distinguish a triangle from a regular triangle. Euclidean geometry produces a singular area rather than a cube when the borders are not perfectly collinear. Triangular shapes are defined as having three sides and three angles. Angles are formed by the meeting of a quadrilateral's 3 sides.

Here,

Let D represent the intersection of the angle bisector BY and the side AC, and let E represent the intersection of the angle bisector CZ and the side AB.

=>BC² = AB² + AC² - 2AB * AC * cos(BAC)

However, since BY and CZ are angle bisectors, we can calculate BAC as follows:

=> BC² = 8² + 9² - 2(8)(9)cos[(180° - (ABC + ACB))/2]

If we simplify, we get:

=> BC² = 145 - 144cos[(ABC + ACB)/2]

Using the angle bisector theory once more, we have the following:

=> AD/DC = 8/BC

=> DC = BC(AD/8)

Simplifying and substituting into the Law of Cosines equation yields:

=> BC² = 145 - 144cos[(ABC + ACB)/2]

=>  145 - 144cos[(180° - BAC)/2]

=> 145 - 144cos(B/2)

in which B Equals ABC.

We can now replace the value of BZ that we discovered earlier with:

=> BZ = (8/9) * BC

and solve for BC:

=> BC² = 145 - 144cos(B/2)

=>  (9/8)² * (145 - 144cos(B/2)) + (8/9)² * BZ²

Simplifying and substituting BZ results in:

BC² = 25

Since BC is a length, we obtain: by taking the positive square root.

=> BC = 5

=> BZ = (8/9) * BC = 40/9 as a result.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

I will mark you brainiest!

To prove a polygon is a rectangle, which of the properties listed must be included in the proof?

A) All side lengths are equal.
B) Diagonals are perpendicular bisectors.
C) Opposite pairs of angles are supplementary.
D) All interior angles are right angles.

Answers

Answer:

Step-by-step explanation:

D) All interior angles are right angles.

To prove that a polygon is a rectangle, you must show that all of its interior angles are right angles. The other properties listed may be true for certain types of rectangles, but they are not sufficient to prove that a polygon is a rectangle.

What is the outlier in the set of data below:

12, 8, 15, 45, 7, 13

a
7
b
8
c
15
d
45

Answers

Answer:

D

Step-by-step explanation:

help me graph this pls​

Answers

The frisbee would spend 2.62 seconds in air before touching ground.

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

Let h represent the height of the frisbee after t seconds.

h = -16t² + 40t + 5

The time the Frisbee is in air is at h = 0, hence:

-16t² + 40t + 5 = 0

t = 2.62 seconds

The frisbee would spend 2.62 seconds in air

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

a) Note that given the above function the height of the Frisbee each second it is in the air are:

t=1; h=29 feett=2; h = 21 feett =3; h = -19

b) The frisbee lasts  t [tex]\approx[/tex] 2.6 (s) in the air.

What is the justification for the above response?

Recall that the function given is -16t² + 40t + 5
t=0; and h = 5

a)
Where t is 1
h = -16t² + 40t + 5

h= -16(1)² + 40(1) + 5

h= -16 + 40 + 5

h= 24 + 5

h= 29, thus, where = 1, h = 29


Using a similar sequence above, where t is
t=2; h = 21 feet; and where

t =3; h = -19



b) in this case, we must set h(t) = 0

⇒ -16t² + 40t + 5 = 0
To solve for t in the equation -16t² + 40t + 5 = 0, we can use the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = -16, b = 40, and c = 5, so substituting these values into the quadratic formula, we get:

t = (-40 ± √(40² - 4(-16)(5))) / 2(-16)

Simplifying:

t = (-40 ± √(1600 + 320)) / (-32)

t = (-40 ± √(1920)) / (-32)

t = (-40 ± 8 √(30)) / (-32)

t = (5/4) ± (√(30)/4)

Thus we have:

t = (5/4) + (√(30)/4) or t = (5/4) - (√(30)/4)

t₁ = 1.25 + (5.477225575051661134569697828008/4) or
t₂ = 1.25 - (5.477225575051661134569697828008/4)

t₁ = 1.25 + 1.369306393762915283642424457002
t₁ [tex]\approx[/tex] 2.6

t₂ = 1.25 - 1.369306393762915283642424457002

t₂ [tex]\approx[/tex] -0.119

Thus the Frisbee lasts approximatley 2.6 seconds in the air.

Learn more about Function:
https://brainly.com/question/21145944
#SPJ1

A right triangle has side lengths….

Answers

Answer:

sin x = d/e, cos x = f/e, tan x = d/f

Step-by-step explanation:

We will use trigonometry and SOH CAH TOA for this problem.

sin x = (opposite/ hypotenuse)

sin x = d/e

cos x = (adjacent / hypotenuse)

cos x = f/e

tan x = (opposite/adjacent)

tan x = d/f

A ladder 17 feet long is leaning against a wall. The bottom of the ladder is 8 feet from base of the wall. How far up the wall is the top of the ladder?
Round to the nearest tenth if necessary.

ANSWER IN FEET!!!

Answers

The top of the ladder is 15 feet up the wall.

What is right-angle triangle?

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest side of the three sides, known as the hypotenuse, is the third side.

Given that the height of the ladder is 17 feet. The distance between the base of the ladder and the wall is 8 feet.

It forms a right-angle triangle.

The hypotenuse of the triangle is 17 feet and the base is 8 feet.

Apply Pythagorean theorem:

Altitude² = Hypotenouse² - Base²

Altitude² = 17² - 8²

Altitude² = 289 - 64

Altitude² = 225

Take square root on both sides:

Altitude = ± 15

Since height can't be a negative number, Altitude =  15 feet.

To learn more about Pythagorean theorem, click on the below link:

https://brainly.com/question/14161637

#SPJ1

Susie is three times as older as her sister Jenny. Paula is 7 years younger
than Jenny.

Write an expression in simplest form that represents the sum of their ages.

Answers

 P - 7 = J is an expression in simplest form that represents the sum of their ages.

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                               Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression.

Susie is three times as older as her sister Jenny.

     3S = J

Paula is 7 years younger than Jenny.

        P - 7 = J

Learn more about expression

brainly.com/question/14083225

#SPJ1

Match the vocabulary terms to the correct definitions.piecewise function

Answers

A piecewise function is a function that has different definitions, based on the interval of the input values of the function.

What is a piecewise function?

A piecewise function is a mathematical function that is defined by different rules over different intervals or subdomains of its domain. These different rules can take on different forms or expressions, allowing the function to behave differently on different parts of its domain.

Hence one example of a piecewise function is the absolute value function, which is defined as follows, depending on the signal of the input:

|x| = x, x ≥ 0.|x| = -x, x < 0.

More can be learned about piecewise functions at https://brainly.com/question/30348444

#SPJ1

the length of a rectangle is 8in. more than 11 times the width. The perimeter of the rectangle is 184 inches. Find the measure of the length and width of the rectangle.

Answers

Considering the definition of perimeter, the length and width of the rectangle is 85 in and 7 in respectively.

Definition of perimeter

The perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.

The perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure.

Perimeter of a rectangle

A rectangle is a geometric figure that has two pairs of sides of equal length. The expression to calculate the perimeter of a rectangle is:

Perimeter= 2× length + 2× width

Length and width of the rectangle

In this case, you know

The length of a rectangle is 8 in. more than 11 times the width. → lenght= 11×width + 8The perimeter of the rectangle is 184 inches

Replacing in the definition of the perimeter of the rectangle:

184= 2× (11×width + 8) + 2× width

Solving:

184= 2×11×width + 2×8 + 2× width

184= 22×width + 16 + 2× width

184 - 16= 22×width + 2× width

168= 24×width

168÷ 24= width

7 in= width

So, the length can be calculated as:

lenght= 11×7 in + 8 in

lenght= 85 in

Finally, the length of the rectangle is 85 in and the width of the rectangle is 7 in.

Learn more about the perimeter:

https://brainly.com/question/29743447

#SPJ1

Select the correct answer. Consider functions f and g. The picture shows a one-to-one function diagram. x has values of 1, 2, 3, and 4, and g of x has values of minus 1, minus 2, minus 4, and minus 8. Every x value has a relation in g of x. What is the value of x when (f o g)(x)= -8? A. -4 B. 0 C. 3 D. 4

Answers

The question is in clear sorry

Consider the functions f and g.

Which statement is true about these functions ?

Answers

The correct statement regarding the average rate of change of the functions f(x) and g(x) on the interval [-2,2] is given as follows:

Over the interval [-2,2], the function f is increasing at a faster rate than function g is decreasing.

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

For the function f(x), the numeric values at x = -2 and x = 2 are given as follows:

f(-2) = (-2)³ + 5(-2)² - (-2) = 14.f(2) = (2)³ + 5(2)² - 2 = 26.

Hence the rate is of:

(26 - 14)/(2 - (-2)) = 12/4 = 3. -> positive rate -> increasing.

For function g(x), the rate is given as follows:

(-16 - 4)/4 = -5.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

Other Questions
I HAVE 5 MINS PLEASE HELPPPPPPPPP 30point A and B are vertical angles. If m=(2+19)A=(2x+19) and m=(318)B=(3x18) , then find the measure of A Calculate how many tablets for one (1) dose for each of the prescriptions below:Order: Abilify 10 mg po qdGive: Frank, age 63, and Linda, age 65, are retired and each have an income of approximately $100,000. The bulk of Lindas income comes from her defined benefit pension plan (DBPP), CPP and OAS, while Franks income consists primarily of CPP, and RRIF and TFSA withdrawals. The couple have approached you for advice regarding income splitting opportunities. How should you advise them?a. Linda can reduce her OAS clawback by splitting her pension with Frankb. Frank can split only his RRIF withdrawals but not his TFSA withdrawals with Lindac. Frank and Linda should not split their incomes as they are already in the same marginal tax rated. If Linda elects to split her pension with Frank, the split must be 50/50 TRIGONOMETRY Grade 10 MathCalculate to the nearest 0.1 degree, the size of alpha in the drawing above.Will give branliest and rate 5 stars for the best answer.Need it urgently!!!Thanks. kindly help:)You have just read a newspaper article which said that teenagers spend far too much time on social media these days. You decide to write an email to the editor in response to this article, giving your opinion. Write between 600 and 900 words. Consider the impact on the market for U.S. Treasury bonds when there is uncertainty aboutreturns in the US stock market. What changes in the market for U.S. Treasury bonds? Whathappens to the equilibrium, price, quantity, and interest rate on U.S. Treasury bonds?**Select ALL that apply. **a. Demand for U.S. Treasury bonds risesb. Demand for U.S. Treasury bonds fallsc. Demand for U.S. Treasury bonds does not changed. Supply of U.S. Treasury bonds does not changee. Supply of U.S. Treasury bonds risesf. Supply of U.S. Treasury bonds fallsg. price increasesh. price decreasesi. interest rate increasesj. interest rate decreasesk. quantity increasesl. quantity decreases (Please answer quickly!!!!)Simplify the expression.9.71 + 2.8 12.61 9.73 6.91 69.10 Tell whether the triangle with the given side lengths is a right triangle. 45 in., 26 in., 51 in. How many atoms of oxygen are present in 200.0 g of CaCO3 ? Question 2 "Reverse logistics is not simply a matter of driving the truck the opposite way". It involves a range of activities, from handling of returned merchandise to disposition of hazardous materials. Using local and regional examples, discuss the role played by five key reverse logistics activities that you have studied. [25 marks] Which of these describes a structure element of the villanelle?A. 14 linesB. 19 linesC. one eight-line stanza and one six-line stanzaD. three four-line stanzas and one two-line stanza Find the length of an edge of a square whose diagonals are of length 10cm what is the largest possible median for the five number set (x,2x,3,2,5) if x can be any integer One of the best all-wheel-drive sports utility vehicles was developed by KIA Motors, Ltd. (KML) during the Covid-19 pandemic era in 2020. As part of the marketing campaign, KML produced a video tape sales presentation to distribute to both owners of current KML four-wheel-drive vehicles as well as to owners of four-wheel-drive sports utility vehicles offered by competitors; KML refers to these two target markets as the current customer market and the new customer market. Individuals who receive the new promotion video will also receive a coupon for a test drive of the new KML model for one weekend. A key factor in the success of the new promotion is the response rate, the percentage of individuals who receive the new promotion and test drive the new model. KML estimates that the response rate for the current customer market is 25% and the response rate for the new customer market is 20%. For the customers who test drive the new model, the sales rate is the percentage of individuals that make a purchase. Marketing research studies indicate that the sales rate is 12% for the current customer market and 20% for the new customer market. The cost for each promotion, excluding the test drive costs, is GH4 for each promotion sent to the current customer market and GH6 for each promotion sent to the new customer market. Management also specified that a minimum of 30,000 current customers should test drive the new model and a minimum of 10,000 new customers should test drive the new model. In addition, the number of current customers who test drive the new vehicle must be at least twice the number of new customers who test drive the new vehicle. If the marketing budget, excluding test drive costs, is GH 1.2 million, how many promotions should be sent to each group of customers in order to maximize total sales. Given the above preamble, answer the following questions:Formulate a linear programming model for KIA Motors Limited and determine the final values of their decision.Transform the model into a standard form.Solve the linear programming model graphically.Advise KML management on the number of promotions they have to send to each group of customers in order to maximize total sales.Solve the linear programming model by using excel and generate the excel output. Use the output to advice KML management on the decisions below.Will KMLs decision to increase its budget by GH1000 change both the objective function and optimal solution? JustifyWill both the objection function and optimal solution change if KMLs management decides to decrease the number of current customers who should test drive to 3,000? ExplainCompute the sensitivity ranges for all constraints.What is the dual value for budget? Explain. Solomon is taking out a $18,320, two-year loan with an APR of 3.29%. What will be the finance charge for this loan to the nearest dollar? A spade-type wood bit is best used for drilling holes in which of the following?Door headersElectrical panelsWall studsConcrete floors Write down the tense of each of the following sentences. a) We are watering the plants. b) c) You had been suffering from fever since Tuesday. I shall have finished this work by tomorrow. d) I will have been working round the clock for twenty-two years next April. e) The train leaves every morning at eighteen (18) AM. alice, bob and carol each think of an expression that is a fraction with 1 as the numerator and a constant integer times some power of x as the denominator. the simplest common denominator of alice's and bob's expressions is 4x2. the simplest common denominator of bob's and carol's expressions is 12x3. the simplest common denominator of alice and carol's expressions is 6x3. find all possible expressions that could be carol's According to the article, how does a psychodynamic psychologist study human behavior?