I already wrote the answer I just need you to work it out for me please and thank you

I Already Wrote The Answer I Just Need You To Work It Out For Me Please And Thank You

Answers

Answer 1

Answer:

[tex]A=470\frac{1}{4}ft^2[/tex]

Detailed Explanation: The area of the figure provided is the sum of two areas, a rectangle, and a triangle:

The total area is calculated next, and the necessary steps are shown as follows

[tex]\begin{gathered} A=A_1+A_2 \\ A_1=\frac{1}{2}(b\cdot h)=\frac{1}{2}\cdot\lbrack(25ft-22.5ft)\times19.8ft\rbrack \\ A_1=\frac{1}{2}\cdot\lbrack2.5ft\times19.8ft\rbrack=\frac{49.5ft^2}{2}=24.75ft^2 \\ A_1=24.75ft^2 \\ A_2=w\cdot h=22.5ft\cdot19.8ft=445.5ft^2 \\ A_2=445.5ft^2 \\ \therefore\Rightarrow \\ A=A_1+A_2=24.75ft^2+445.5ft^2 \\ A=470.25ft^2 \\ A=470\frac{1}{4}ft^2 \end{gathered}[/tex]

I Already Wrote The Answer I Just Need You To Work It Out For Me Please And Thank You

Related Questions

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Answers

Answer: x 0 1 2 3

p(x) 0.011 0.170 0.279 0.539

Given that the values of x =

Television 0 1 2 3

Household 30 443 727 1401

Let television be = x

Household = frequency = distribution

Firstly, we need to find the interval of x

The interval of x = Range between two numbers

1 - 0 = 1

2 -1 = 1

3 - 2 = 1

Hence, the interval is 1

[tex]p(x)\text{ = }\frac{frequency\text{ for x interval}}{N\text{ x w}}[/tex]

Where N = total frequency

w = interval

Total frequency = 30 + 443 + 727 + 1401

Total frequency = 2601

[tex]\begin{gathered} \text{when x = 0} \\ p(x)\text{ = }\frac{30}{2601\text{ x 1}} \\ p(x)\text{ = }\frac{30}{2601} \\ p(x)\text{ = }0.011 \end{gathered}[/tex]

when x = 1

[tex]\begin{gathered} p(x)\text{ = }\frac{443}{2601\text{ x 1}} \\ p(x)\text{ = }\frac{443}{2601} \\ p(x)\text{ = 0}.170 \end{gathered}[/tex]

When x = 2

[tex]\begin{gathered} p(x)\text{ = }\frac{727}{2601\text{ x 1}} \\ p(x)\text{ = }\frac{727}{2601} \\ p(x)\text{ = 0.279} \end{gathered}[/tex]

when x = 3

[tex]\begin{gathered} p(x)\text{ = }\frac{1401}{1\text{ x 2601}} \\ p(x)\text{ = }\frac{1401}{2601} \\ p(x)\text{ = 0.539} \end{gathered}[/tex]

Therefore,

x 0 1 2 3

p(x) 0.011 0.170 0.279 0.539

Help please.

We have the equation negative 9 minus this whole expression, 9x minus 6—this whole thing is being subtracted from negative 9—is equal to 3 times this whole expression, 4x plus 6.
Solve the Equation

Answers

The value of x in the equation given is x = -4/7.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The information given will be illustrated as:

9 - (9x - 6) - 9 = 3(4x + 6)

9 - 9x + 6 - 9 = 12x + 18

Collect like terms

-9x + 6 = 12x + 18

-9x - 12x = 18 - 6

-21x = 12

Divide

x = 12/-21

x = -4/7

This illustrates the concept of equations.

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In gym class, a student can do 30 sit-ups in 60 seconds and 90 sit-ups in 180 seconds.

Graph the proportional relationship.

graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 60
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 120 comma 60
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 60 comma 50
graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30

Answers

A graph of the proportional relationship is given by: D. graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30.

What is a graph?

A graph can be defined as a type of chart that's commonly used for the graphical representation of data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.

Mathematically, a proportional relationship can be modeled by the following linear equation:

y = kx

Where:

y and x are the variables.k represents the constant of proportionality.

Furthermore, the graph of any proportional relationship is characterized by a straight line with data points passing through the origin (0, 0) because as the values on the x-coordinate (x-axis) decreases or increases, the values on the y-coordinate (y-axis) decreases or increases simultaneously.

In this context, we can reasonably infer and logically deduce that the relationship between the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of this graph is proportional and given by this equation:

y = 3x

Where:

y represent the number of sit-ups.x represent the time.

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Answer:

A graph of the proportional relationship is given by: D. graph with x axis labeled time seconds and y axis labeled sit ups, with a line from 0 comma 0 going through 90 comma 30.

Step-by-step explanation:

food cost for your restaurant is about $.38 on the dollar. that means for every dollar in sales, you spend 38 cents in food cost.figure out the food cost for the following days’ sales:monday:$3,459.00tuesday:$2,976.81wednesday:$3,185.32thursday:$3,562.91friday:$4,582.13saturday:$4,820.36

Answers

The Solution.

Monday's sales is $3459.00

The food cost for Monday is

[tex]\text{ Food cost = 0.38}\times3459=\text{ \$1314.42}[/tex]

Tuesday's sales is $2976.81

The food cost for Tuesday is

[tex]\text{Food cost = 0.38}\times2976.81=\text{ \$}1131.19[/tex]

Wednesday's sales is $3185.32

The food cost for Wednesday is

[tex]\text{ Food cost = 0.38}\times3185.32=\text{ \$}1210.42[/tex]

Thursday's sales is $3562.91

The food cost for Thursday is

[tex]\text{Food cost = 0.38}\times3562.91=\text{ \$}1353.91[/tex]

Friday's sales is $4582.13

The food cost for Friday is

[tex]\text{Food cost = 0.38}\times4582.13=\text{ \$}1741.21[/tex]

Saturday's sales is $4820.36

The food cost for Saturday is

[tex]\text{Food cost = 0.38}\times4820.36=\text{ \$}1831.74[/tex]

The equation for the line of best fit is shown below.What does the y-intercept represent? A. the cost to upload an unlimited amount of files B. the cost to enroll in the file sharing service C. the cost per file uploaded D. the cost per Mb uploaded

Answers

Answer:

B. the cost to enroll in the file-sharing service

Explanation:

The y-intercept is the cost when x = 0. It means that it is the cost of the service when the customer uploads 0 Mb, so it should represent the cost to enroll in the file-sharing service.

Find the value of z such that 0.03 or f the area lies to the right of z Round your answer tom2 decimal places

Answers

ANSWER

z = 1.88

EXPLANATION

We have to find z such that the area under the normal curve to the right of that value is 0.03,

This is the same as finding z such that the area to the left of that value is 1 minus 0.03,

[tex]1-0.03=0.97[/tex]

These are the values that z-score tables show. So, we have to find a z-score where the value in the table is 0.97,

The z-score whose area to its left is closest to 0.97 is z = 1.88.

Hence, for z = 1.88, the area under the curve to its right is 0.03.

The sum of three
numbers is 18. The largest
is 5 times the smallest,
while the sum of the
smallest and twice the
largest is 22. Write a
system of equations to find
the numbers, then solve.

Answers

The required system of equation is x+y+z=18, z=5x, x+2z=22 and the required values of x=2, y=6 and z=10 by using the substitution method of solving equations and according to given conditions: The sum of three numbers is 18. The largest is 5 times the smallest, while the sum of the smallest and twice the largest is 22. .

What is system of equation?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

What is substitution method?

The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the other equation in this method, as the name implies.

x+y+z=18

z=5x

x+2z=22

x+10x=22

x=2

y=6

z=10

The required system of equations is x+y+z=18, z=5x, x+2z=22, with the required values of x=2, y=6, and z=10 when solving equations using the substitution method under the conditions stated: Three numbers added together equal 18. The sum of the smallest and twice-largest numbers is 22, while the largest is five times the smallest.

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third time asking, please help.
In a triangle one angle is three times the smallest angle and the third angle is 45 more than twice the
smallest angle. Find the measure of all three angles. Hint: The angles of a triangle add up to 180°

Answers

Answer:

The 3 angles are 22.5, 67.5 and 90 degrees.

Step-by-step explanation:

Let the smallest angle be x degrees.

Then the other angles = 3x and 2x + 45.

x + 3x + 2x + 45 = 180

6x = 180 - 45

6x = 135

x = 135/6 = 22.5 degrees

3x = 67.5 degrees

2x+45 = 90 degrees.

simplify 3p x 5q x 2

Answers

30pq=3p×5q=15pq×2=30pq

The area of the triangle is 330 square feet.The height of the triangle is ___

Answers

Answer:

22 feet

Explanation:

The area of a triangle can be calculated using the following equation:

[tex]A=\frac{b\times h}{2}[/tex]

Where b is the base and h is the height.

We know that the area is 330 square feet and the base is 30 ft, so we can replace these values to get:

[tex]330=\frac{30\times h}{2}[/tex]

Now, we can solve the equation for h. First, multiply both sides by 2:

[tex]\begin{gathered} 2\times330=2\times\frac{30\times h}{2} \\ 660=30\times h \end{gathered}[/tex]

Then, divide both sides by 30:

[tex]\begin{gathered} \frac{660}{30}=\frac{30\times h}{30} \\ 22=h \end{gathered}[/tex]

Therefore, the height of the triangle is 22 feet.

Erica paid a self employment tax last year. she calculated the self-employment tax for different amounts of net earnings and recorded them in a table shown . Which function describes the relationship between X ,amount of net earrings and y ,the self- employment.

Answers

Answer:

[tex]y=\frac{153}{1,000}x[/tex]

Step by step explanation:

Linear functions represent situations that have a constant rate of change, and they are represented by:

[tex]\begin{gathered} y=kx \\ \text{where,} \\ k\text{ is the constant rate of change} \end{gathered}[/tex]

We can calculate the constant rate of change with the following formula:

[tex]\begin{gathered} k=\frac{\Delta y}{\Delta x} \\ k=\frac{2,295}{15,000} \\ k=\frac{153}{1,000} \end{gathered}[/tex]

Then, the function that describes the relationship between x, the number of net earnings, and y, the self-employment tax would be:

[tex]y=\frac{153}{1,000}x[/tex]

Help please and thank you

Answers

If f(x) is a linear function and gives f(3) = 3 and f(9) = -2

Part a

The slope of the line = -5/6

Part b

The y-intercept = 11/2

Part c

f(x) = (-5/6)x + 11/2

The values of

f(3) = 3

f(9) = -2

The points are (3,3) and (9,-2)

Part a

The slope of the line is the change in y coordinate with respect to the change in x coordinate.
Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

= [tex]\frac{-2-3}{9-3}[/tex]

=-5/6

Part b

The slope intercept form of the line

y = mx+b

b is the y intercept

Substitute the values in the equation

3 = (-5/6)×3 + b

3= -5/2 + b

b = 11/2

Part c

Then the linear function f(x) = (-5/6)x + 11/2

Hence, if f(x) is a linear function and gives f(3) = 3 and f(9) = -2

Part a

The slope of the line = -5/6

Part b

The y-intercept = 11/2

Part c

f(x) = (-5/6)x + 11/2

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Elsa drove 14 laps on a race track. Each lap was the same length. If she drove atotal of 30.8 mi what was the length of each lap? Write your answer in yards.Use the table of conversion facts as necessary, and do not round your answer.Conversion facts for length12 inches (in) = 1 foot (ft)3 feet (ft) = 1 yard (yd)36 inches (in) = 1 yard (yd)5280 feet (ft) = 1 mile (mi)1760 yards (yd) = 1 mile (mi)|0ydGХ?

Answers

Givens.

• The total number of laps is 14.

,

• The total distance is 30.8 miles.

First, divide the total distance by the number of laps.

[tex]\frac{30.8mi}{14}=2.2mi[/tex]

Each lap length is 2.2 miles.

Let's transform it to yards using the conversion factor 1 mile = 1760 yards.

[tex]2.2mi\cdot\frac{1760yd}{1mi}=3872yd[/tex]

Therefore, each lap length is 3872 yards.

2/3 divided 17/28 equals what?

Answers

[tex]\begin{gathered} \text{You can use this formula:} \\ \frac{a}{b}\div\frac{c}{d}=\frac{a\times d}{b\times c} \end{gathered}[/tex][tex]\frac{2}{3}\div\frac{17}{28}=\frac{2\times28}{3\times17}=\frac{56}{51}[/tex]

Identify the domain, vertical asymptotes and horizontal asymptotes of the following rational function: f(x)= \frac{3x-4}{x^3-16x} Domain is all real numbers except x\neq Answer , Answer and AnswerVertical asymptote at x= Answer , Answer and AnswerHorizontal asymptote at y= Answer

Answers

Answer

Domain is all real numbers except x ≠ 0, -4, and 4

Vertical asymptote at x = 0, -4, and 4

Explanation

Given function:

[tex]f(x)=\frac{3x-4}{x^3-16x}[/tex]

Note: The domain of a function is a set of input or argument values for which the function is real and defined.

For the function to be real; the denominator must not be equal zero, i.e.

[tex]\begin{gathered} x^3-16x\ne0 \\ x(x^2-16)\ne0 \\ x(x-4)(x+4)\ne0 \\ x\ne0,x-4\ne0,\text{ and }x+4\ne0 \\ \therefore x\ne0,x\ne4,\text{ and }x\ne-4 \end{gathered}[/tex]

Hence, the domain is all real numbers except x ≠ 0, -4, and 4.

Note: A vertical asymptote with a rational function occurs when there is division by zero.

Hence, the vertical asymptote at x = 0, -4, and 4

Larry is measuring the volume of a pitcher. He uses a measuring cup that holds 2 cups and fills the measuring cup 7.5 times to fill the entire pitcher. How much does the pitcher hold?

Answers

Given,

The amount of liquid hold by measuring cup is 2 cups.

The number of times measuring cup used to fill the pitcher.

Required:

The amount of liquid pitcher hold.

The amount of liquid hold by the pitcher is,

[tex]Amount\text{ of liquid = number of times measuring cups used}\times amount\text{ of liquid hold by measuring cup}[/tex]

Substituting the values.

[tex]\begin{gathered} Amount\text{ of liquid =7.5}\times2\text{ cups} \\ =15\text{ cups} \end{gathered}[/tex]

Hence, the pitcher can hold 15 cups.

NAMEDATEPERIOD21. Clare has a 1/2 liter bottle full of water. A cone-shaped paper cup has diameter 10 cmand slant height 13 cm as shown. Can she pour all the water into one paper cup, or willit overflow? Explain your reasoning. (3 pts.)(The volume of a cone ismerhand liter = 500 cubic centimeters)10cm13 cm

Answers

We have the following:

The first thing is to calculate the volume of the cone

[tex]\begin{gathered} V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h \\ \end{gathered}[/tex]

where r is the radius and h is the height

the radius is half the diameter, like this

[tex]r=\frac{d}{2}=\frac{10}{2}=5[/tex]

The radius is 5 cm.

Now, for the height, we calculate it by means of the Pythagorean theorem that says the following

[tex]\begin{gathered} c^2=a^2+b^2 \\ c=13 \\ a=5 \\ b=h \\ \text{replacing:} \\ 13^2=5^2+h^2 \\ h^2=13^2-5^2 \\ h=\sqrt[]{169-25} \\ h=\sqrt[]{144}=12 \end{gathered}[/tex]

The height is 12 cm

The volume is:

[tex]\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot5^2\cdot12 \\ V=314 \end{gathered}[/tex]

The water bottle has a total of 500 cubic centimeters, while the cone is 314 cubic centimeters, therefore it cannot pour out all the water and it would overflow

pls help????? –2x = –20y + 18

Answers

Answer:

y = 1/10x + 9/10

Step-by-step explanation:

Find slope intercept form: –2x = –20y + 18

slope intercept form: y = mx + b

_______________________________

–2x = –20y + 18

add 20y to both sides:

–2x + 20y = –20y + 18 + 20y

–2x + 20y = 18

add 2x to both sides:

–2x + 20y + 2x = 18 + 2x

20y = 18 + 2x

divide all terms by 20:

20y/20 = 18/20 + 2x/20

y = 9/10 + 1/10x

reorder terms for slope intercept form:

y = 1/10x + 9/10

Answer:

[tex]y=\dfrac{1}{10}x+\dfrac{9}{10}[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]-2x=-20y+18[/tex]

To write the given equation in slope-intercept form, make y the subject.

Add 20y to both sides:

[tex]\implies 20y-2x=-20y+18+20y[/tex]

[tex]\implies 20y-2x=18[/tex]

Add 2x to both sides:

[tex]\implies 20y-2x+2x=2x+18[/tex]

[tex]\implies 20y=2x+18[/tex]

Divide both sides by 20:

[tex]\implies \dfrac{20y}{20}=\dfrac{2x+18}{20}[/tex]

[tex]\implies \dfrac{20y}{20}=\dfrac{2x}{20}+\dfrac{18}{20}[/tex]

[tex]\implies y=\dfrac{1}{10}x+\dfrac{9}{10}[/tex]

Therefore, the given equation in slope-intercept form is:

[tex]\boxed{y=\dfrac{1}{10}x+\dfrac{9}{10}}[/tex]

identify the equation

Answers

SOLUTION

We want to identify the equation that represents the data in the table.

Let's put the first values for x and y from the table, that is x = -2 and y = 11 and see if it works for the first option

[tex]y=x+5[/tex]

This becomes

[tex]\begin{gathered} y=x+5 \\ y=-2+5 \\ y=3 \end{gathered}[/tex]

Since we didn't get y = 11, but we got y = 3, then the first option is wrong.

Let's try the next one

[tex]y=-3x+5[/tex]

This becomes

[tex]\begin{gathered} y=-3x+5 \\ y=-3(-2)+5 \\ y=6+5 \\ y=11 \end{gathered}[/tex]

So, we got y = 11, this option should be the correct answer, but let us confirm with the next values of x and y which are (0, 5).

So we will put x = 0, if we get y = 5, then the option is correct, so

[tex]\begin{gathered} y=-3x+5 \\ y=-3(0)+5 \\ y=0+5 \\ y=5 \end{gathered}[/tex]

Since we got y = 5, this option is correct.

Hence, the answer is the 2nd option.

[tex]y=-3x+5[/tex]

HELPPPPAbigail buys 3 gallons of milk a week. How many pints of milk does she buy?

Answers

Answer:

She buys 24 pints of milk

Step-by-step explanation:

The conversion rule for a pint to the gallon is represented:

[tex]\text{ 1 pint=0.125 gallons}[/tex]

Then, we can make a proportional relationship to determine how many pints of milk she buys:

[tex]\begin{gathered} \frac{1}{0.125}=\frac{x}{3} \\ x=\frac{3}{0.125} \\ x=24\text{ pints} \end{gathered}[/tex]

Z A I + 5 4x - 3 3r-1 2x + 1 What value of x makes ASTW - AXYZ? s 3 + 1 T 4r-5 x = 2 X = 3 X=4 X=1

Answers

Here, we have two congruent triangles.

Given:

ST = 3x - 1 XY = 4x - 5

SW = 3x + 1 XZ = 4x - 3

TW = 2x + 1 YZ = x + 5

Since triangle STW and triangle XYZ are congruent, they have exactly the same corresponding sides.

To find the value of x, equate the corresponding sides and evaluate.

ST = XY

SW = XZ

TW = YZ

Take one of the corresponding sides.

We have:

ST = XY

3x - 1 = 4x - 5

Subtract 4x from both sides:

3x - 4x - 1 = 4x - 4x - 5

-x - 1 = -5

Add 1 to both sides:

-x - 1 + 1 = -5 + 1

-x = -4

Divide both sides by -1:

[tex]\begin{gathered} \frac{-x}{-1}=\frac{-4}{-1} \\ \\ x=4 \end{gathered}[/tex]

Therefore, the value of x that makes ΔSTW ≅ ΔXYZ is 4

ANSWER:

x = 4

Solve each system of equations "-x+y+2z=-5" 5x+4y-4z=4 x-3y-2z=3
show your work please so i can understand how to do it!

Answers

x=-4, y=1 and z=-5 are solutions of x+y+2z=-5" 5x+4y-4z=4 x-3y-2z=3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given three equations are

-x+y+2z=-5.....(1)

5x+4y-4z=4....(2)

x-3y-2z=3....(3)

Add equations (1) and (3)

-x+y+2z+x-3y-2z=-5+3

Add the like terms

-2y=-2

y=1

Now put value of y in equations (1) and (2)

-x+2z=-6..(4)

5x-4z=0...(5)

Multiply with 5 on equation 4 and add with equation 5

-5x+10z+5x-4z=-30

6z=-30

z=-5

Now put y and z values in equation (1)

-x+1+2(-5)=-5

-x+1-10=-5

-x-9=-5

-x=4

x=-4

Hence x=-4, y=1 and z=-5 are solutions of x+y+2z=-5" 5x+4y-4z=4 x-3y-2z=3

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Bo rolls a fair 6-sided number cube then chooses one card from a deck of four cards numbered 1through 4. What is the probability that the number cube and the card have the same number?

Answers

the probability is 1 whole number 1 over 2

what is the slope of the line shown graohed belowzero5undefined-5

Answers

Answer: undefined

The slope of this graph is undefined because it does not run on the horizontal

Since, slope = y2 - y1 / x2 - x1

Therefore, x2 - x1 = 0

Slope = y2 - y1 / 0 = undefined

Nicholas and Jack volunteer to fill gift boxes for soldiers serving overseas. Both work at a constant rate. They work together for 6 hours and fill 126 boxes. Nicholas fills 9 boxes every hour. How many boxes does Jack fill every hour?

Answers

Firstly, we need to know the number of boxes they both filled per hour.

From the question, we are told that 126 boxes were filled in six hours; thus in an hour, the number of boxes filled will be 126/26 = 21 boxes

Now in an hour, Nicholas filled 9 boxes; the number of boxes that will be filled is clearly the remainder of the 21 boxes.

The number of boxes filled by Jack is thus; 21 - 9 = 12 boxes

Jack fills 12 boxes in an hour

use the following graph to find the mean, median, and mode

Answers

Given:

A graph

To determine the Mean, Median, and Mode based on the given graph, we first get the data set as shown below:

2,5,5,5,5,6,9,11,12,13,14,15,18,20

Next, we find the Mean by getting the average:

[tex]\begin{gathered} Mean=\frac{2+5+5+5+5+6+9+11+12+13+14+15+18+20}{14} \\ Simplify \\ Mean=\frac{140}{14} \\ Mean=10 \end{gathered}[/tex]

Then, we get the Median by getting the average of the two middle values since there is an even number of data values:

[tex]\begin{gathered} Median=\frac{9+11}{2} \\ Simplify \\ Median=10 \end{gathered}[/tex]

Now, we get the Mode by finding the number that appears most frequently. Hence, the Mode is 5.

Therefore, the answer is:

Mean:10, Median:10, Mode:5

32. Recall the pattern that you found in the diamond problems from Ready, Set, Go #2. Use the pattern you discoveredto complete each diamond below.8-121-724ISet

Answers

Answer:

Step-by-step explanation:

the perimeter of a rectangle is a rational number. the length of a rectangle is 6 units. the width of a rectangle must be a/an rational/irrational (circle one) number.

Answers

Answer:

A rational number

Explanations:

The perimeter of a rectangle is given by the formula:

Perimeter = 2(Length + Width)

The Length = 6 units

Perimeter = 2 (6 + Width)

Perimeter = 12 - 2 Width

2 Width = 12 - Perimeter

Width = (12 - Perimeter)/2

Note that a rational number is a number that can be written as a fraction of two integers.

Since the perimeter is said to be a rational number, any rational number substituted into the formula equation for the width above will give a rational number.

The width of the rectangle is therefore a rational number

Conver 10 feet per second to inches per second

Answers

Answer:120 inches per second

Step-by-step explanation:120 inches per second this is because 1 ft= 12 inches so you can multiply 10 x 12 which is 120 inches.

in a sale normal prices are reduced by 15%. The sale price of a CD player is £102. work out the normal price of the CD player

Answers

The normal price for the CD player is $117.30

How to calculate the value?

Since the normal prices are reduced by 15%, the percentage for the normal price will be:

= 100% + 15%

= 115%

Also, the sale price of a CD player is £102.

Therefore, the normal price will be:

= Percentage for normal price × Price

= 115% × $102

= 1.15 × $102

= $117.30

The price is $117.30.

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An elevator uses 100 000J of electrical energy to raise a load of 800 N through a height of 40m in a time of 20s. What is the rate of conversion of the electrical energy to other forms? Name and describe at least two applications for population estimates. what is the tension in a tow rope that is used to accelerate a 1700-kg car at 0.5 m/s2? (ignore the effects of friction.) a) assuming the tow rope is completely horizontal? b) assuming the tow rope is 400 above the horizontal? which expression could be substituted for x in the second equation to find the value of y? What is the linear equation for the line graphed below? what did the declaration of independence promise to do, but lincoln states our country has not upheld?A. that all men are created equal.B. that all men are created equal. C. that we are free from the king's breach of human rights. D. that we are free from the king's breach of human rights. that the united states needs to be "independent" from britain. that the united states needs to be "independent" from britain. that every man deserves a trial by a jury. sanjeep takes out a $250,000 mortgage and makes monthly payments. the yearly interest rate on the loan is 5% and the loan is compounded monthly for 25 years. calculate the total amount of interest that sanjeep will pay. give your answer in dollars to the nearest dollar. do not include commas or the dollar sign in your answer. A share of stock with a beta of 0. 75 now sells for $50. Investors expect the stock to pay a year-end dividend of $2. The t-bill rate is 4%, and the market risk premium is 7%. Suppose investors believe the stock will sell for $52 at year-end. Calculate the opportunity cost of capital. Is the stock a good or bad buy? what will investors do? at what price will the stock reach an "equilibrium" at which it is perceived as fairly priced today?. A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?$22.50$27.50$32.50$37.50 The Transcontinental Airway System What pushback might have been received by members of the community where beacons and arrows werebuilt? Speaking and listening (language). Your preschooler's language skills develop when she has lots of opportunities to listen to and speak with others. Teachers talk with children throughout the daywhile they play, at group times, and one-to-one. They encourage children to share information, ideas, and feelings with each other.List one example of a material AND one example of environments you can create to promote each of the following areas. Two identical point charges exert a repulsive force of 0.500 N on one another when separated by 1.5 m. What is the magnitude of the net charge of either point charge? technician a says a voltage drop of 1.2 volts on a window switch means the switch is faulty. technician b says you could use a jumper wire to bypass the switch and determine if the window motor functions properly before just replacing the switch. who is correct? PLEASE HELP!! Thank you .she found, even after she had made several attempts to regulate the sprinkler, that the water was still reaching the furniture on the verandah. begin the sentence with: it is impossible for A solution is made by dissolving4.87 g of potassium nitrate in waterto a final volume of 86.4 mL solution.What is the weight/weight % orpercent by mass of the solute?Use 1.00 g/mL for the density of the solution.Enter text here The sum of an integer and 4 times the next consecutive odd integer is 23. Find the value of the greater integer. First use the Pythagorean theorem to find the exact length of the missing side. Then find the exact values of the six trigonometric functions for angle 0. Type the correct answer in each box use numerals instead of words What are the values of the function Select the statement from the passage that explains why the Kennedy Space Center Complex is beneficial to the community. aAlthough many are still fascinated by space travel, the space program is declining. bDespite this, millions of people still visit the Kennedy Space Center. cThankfully, with their support, many more tours have been added to the KSC experience. dThis helps to keep local shops, restaurants, and hotels in business.