Ninas math classroom is 6 and 4/5 meters long and 1 and 3/8 meters wide. What is the area of the classroom?

Answers

Answer 1

The most appropriate choice for area of rectangle will be given by -

Area of classroom = [tex]4\frac{27}{40}[/tex] [tex]m^2[/tex]

What is area of rectangle?

Rectangle is a four sided figure whose parallel sides are equal and whose every angle is 90°

The total space taken by the rectangle is called area of the rectangle.

If the length of the rectangle be l and the breadth of the rectangle be b, then area of the rectangle is given by

Area = [tex]l \times b[/tex]

Here,

Length of classroom = [tex]6\frac{4}{5}[/tex] m = [tex]\frac{34}{5}[/tex] m

Width of classroom = [tex]1\frac{3}{8}[/tex] m = [tex]\frac{11}{8}[/tex] m

Area of classroom = [tex]\frac{34}{5} \times \frac{11}{8}[/tex]

                               = [tex]\frac{187}{40}[/tex]

                               = [tex]4\frac{27}{40}[/tex] [tex]m^2[/tex]

To learn more about area of  rectangle, refer to the link-

https://brainly.com/question/25292087

#SPJ13


Related Questions

What is the vertex of the parabola with thefunction rule f(x) = 5(x − 4)² + 9?

Answers

The equation f(x) = a(x - h)^2 + k gives the vertex of the parabola--it is (h, k).

In this question, h = 4 and k = 9. So the vertex is at (4, 9).

1. Write the equation of a line perpendicular to thex 5and that passes through thepoint (6,-4).line y

Answers

The line we want has a slope that is the negative reciprocal of the slope of the line

y = -(1/2)x - 5

The slope of this line is -1/2. So, the slope of its perpendicular lines is 2. Therefore, their equations have the form:

y = 2x + b

Now, to find b, we use the values of the coordinates of the point (6, -4) in that equation:

-4 = 2*6 + b

-4 = 12 + b

b = -4 - 12 = -16

Therefore, the equation is y = 2x - 16.

1. Is this figure a polygon?2. Is this polygon concave or convex?3. Is this polygon regular, equiangular, Equilateral, or none of these?4. What is the name of this polygon?

Answers

A polygon is a closed shape with straigh sides, then

2. Is the figure a polygon? YES.

Since the figure is a polygon

1a. Is this polygon concave or convex? It is concave. A concave polygon will always have at least one reflex interior angle, tha is, it has on interior angle greater than 180 degrees.

1b. Is this polyogn regular, equiangular, equilateral or none of these? The marks on the picture mean that all the sides have the same length. This is the definition of equilateral. Then the answer is equilateral.

1c. What is the name of this polygon? We can see it has 4 equal sides and is concave, then his name is Concave Equilateral Quadrilateral.

From the diagram below, if side AB is 36 cm., side DE would be ______.

Answers

Given

AB = 36 cm

Find

Side DE

Explanation

here we use mid segment theorem ,

this theorem states that the mid segment connecting the mid points of two sides of a triangle is parallel to the third side of the triangle and the length of the midsegment is half the length of the third side.

so , DE = 1/2 AC

DE = 36/2 = 18 cm

final Answer

therefore , the correct option is c

What is the y-intercept of the line x+2y=-14? (0,7) (-7,0) (0,-7) (2,14)

Answers

[tex]\begin{gathered} \text{First, we need to isolate y} \\ 2y=-x-14 \\ y=\frac{-x-14}{2} \\ y=\frac{-x}{2}-\frac{14}{2} \\ y=-\frac{x}{2}-7 \\ -7\text{ represents the y-intercept} \\ \text{When you write as a point it would be (0, -7)} \end{gathered}[/tex]

Rewrite 20 - 4x³ using a common factor.
O 4x(5-x²)
O4(5 - 4x³)
02x(10-2x²)
02(10-2x³)

Answers

Answer:

[tex]20 - 4 {x}^{3} = 4(5 - {x}^{3} )[/tex]

Rewrite 4x + 16 using a common factor.

Answer 4(x + 4)

which description compass the domains of function a and function be correctly rest of the information in the picture below please answer with the answer choices

Answers

Given:

Function A: f(x) = -3x + 2

And the graph of the function B

We will compare the domains of the functions

Function A is a linear function, the domain of the linear function is all real numbers

Function B: as shown in the figure the graph starts at x = 0 and the function is graphed for all positive real numbers So, Domain is x ≥ 0

So, the answer will be the last option

The domain of function A is the set of real numbers

The domain of function B: x ≥ 0

Find the percent change to the nearest percent for the function following
f(x) = 3(1 -.2)^-x

Answers

The percentage change of the function given in the task content as required is; 20%.

Percent change in exponential functions.

It follows from the task content that the percentage change of the function is to be determined.

The percentage change in exponential functions is represented by the change factor, an expression on which the exponent is applied.

On this note, since the function given is an exponential function in which case, the change factor is; (1 - .2).

It consequently follows that the change implies a 20% decrease. This follows from the fact that 20% is equivalent to; 0.2.

Ultimately, the percentage change of the function is; 20%.

Read more on percentage change in exponential functions;

https://brainly.com/question/15387421

#SPJ1

What is the current population of elk at the park?

Answers

Given the following function:

[tex]\text{ f\lparen x\rparen= 1200\lparen0.8\rparen}^{\text{x}}[/tex]

1200 represents the initial/current population of elk in the national park.

Therefore, the answer is CHOICE A.

In July, Lee Realty sold 10 homes at the following prices: $140,000; $166,000; $80,000; $98,000; $185,000; $150,000; $108,000; $114,000; $142,000; and $250,000. Calculate the mean and median.

Answers

Mean:all the number divided by the number of the value
Median:the number in the middle
80,000 98,000 108,000 114,000 140,000 142,000 150,000 166,000 185,000 250,000
They are 10 numbers so you’ll have 2 numbers left
140,000+142,000=282,000
Then 282,000 divided it by 2
Which gives you 141,000
So the median is:141,000

80,000+98,000+108,000+114,000 140,000+142,000+150,000+166,000+185,000+250,000=1,293,000
1,293,000 divided by 10 which equals 129,300
So the mean is=129,300

The mean is 143000 and Median is 141000 for data $140,000; $166,000; $80,000; $98,000; $185,000; $150,000; $108,000; $114,000; $142,000; and $250,000.

What is Statistics?

A branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data

The mean is give by sum of n numbers to the total number of observations

Mean=Sum of observations/ Number of observations

Given,

10 homes at the following prices: $140,000; $166,000; $80,000; $98,000; $185,000; $150,000; $108,000; $114,000; $142,000; and $250,000.

Sum of observations=$140,000+$166,000+$80,000+$98,000+ $185,000+$150,000+ $108,000+$114,000+$142,000+ $250,000=1433000

n=10

Mean=1433000/10=143000

So mean is 143000

Now let us find the median, Median is the middle most number.

First we have to arrange the observation in ascending order.

$80,000, $98,000, $108,000,  $114,000,  $140,000, $142,000, $150,000, $166,000, $185,000, $250,000

Now Median= ($140,000+$142,000)/2

=282000/2=141000

Hence Mean is 143000 and Median is 141000.

To learn more on Statistics click:

https://brainly.com/question/23091366

#SPJ2

Which expression is equivalent to cot2B(1 – cos-B) for all values of ß for which cot2B(1 - cos2B) is defined?

Answers

From the Pythagorean identity,

[tex]\sin ^2\beta+\cos ^2\beta=1[/tex]

we have

[tex]\sin ^2\beta=1-\cos ^2\beta[/tex]

Then, the given expression can be rewritten as

[tex]\cot ^2\beta\sin ^2\beta\ldots(a)[/tex]

On the other hand, we know that

[tex]\begin{gathered} \cot \beta=\frac{\cos\beta}{\sin\beta} \\ \text{then} \\ \cot ^2\beta=\frac{\cos^2\beta}{\sin^2\beta} \end{gathered}[/tex]

Then, by substituting this result into equation (a), we get

[tex]\begin{gathered} \frac{\cos^2\beta}{\sin^2\beta}\sin ^2\beta \\ \frac{\cos ^2\beta\times\sin ^2\beta}{\sin ^2\beta} \end{gathered}[/tex]

so by canceling out the squared sine, we get

[tex]\cos ^2\beta[/tex]

Therefore, the answer is the last option

2. Assume that each situation can be expressed as a linear cost function and find the appropriate cost function. (a) Fixed cost, $100; 50 items cost $1600 to produce. (b) Fixed cost, $400; 10 items cost $650 to produce. (c) Fixed cost, $1000; 40 items cost $2000 to produce. (d) Fixed cost, $8500; 75 items cost $11,875 to produce. (e) Marginal cost, $50; 80 items cost $4500 to produce. (f)Marginal cost, $120; 100 items cost $15,800 to produce. (g) Marginal cost, $90; 150 items cost $16,000 to produce. (h) Marginal cost, $120; 700 items cost $96,500 to produce.

Answers

Given:

Cost function is defined as,

[tex]\begin{gathered} C(x)=mx+b \\ m=\text{marginal cost} \\ b=\text{fixed cost} \end{gathered}[/tex]

a) Fixed cost = $100, 50 items cost $1600.

The cost function is given as,

[tex]\begin{gathered} C=\text{Fixed cost+}x(\text{ production cost)} \\ x\text{ is number of items produced} \\ \text{Given that, }50\text{ items costs \$1600} \\ 1600=100\text{+50}(\text{ production cost)} \\ \text{production cost=}\frac{1600-100}{50} \\ \text{production cost}=30 \end{gathered}[/tex]

So, the cost function is,

[tex]C=30x+100[/tex]

b) Fixed cost = $400, 10 items cost $650.

[tex]\begin{gathered} 650=400+10p \\ 650-400=10p \\ p=25 \\ \text{ Cost function is,} \\ C=25x+400 \end{gathered}[/tex]

c) Fixed cost= $1000, 40 items cost $2000 .

[tex]\begin{gathered} 2000=1000+40p \\ p=25 \\ C=25x+1000 \end{gathered}[/tex]

d) Fixed cost = $8500, 75 items cost $11,875.

[tex]\begin{gathered} 11875=8500+75p \\ 11875-8500=75p \\ p=45 \\ C=45x+8500 \end{gathered}[/tex]

e) Marginal cost= $50, 80 items cost $4500.

In this case we know the value of m = 50 .

Use the slope point form,

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(80,4500) \\ y-4500=50(x-80) \\ y=50x-4000+4500 \\ y=50x+500 \\ C=50x+500 \end{gathered}[/tex]

f) Marginal cost=$120, 100 items cost $15,800.

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(100,15800) \\ y-15800=120(x-100) \\ y=120x-12000+15800 \\ y=120x+3800 \\ C=120x+3800 \end{gathered}[/tex]

g) Marginal cost= $90,150 items cost $16,000.

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(150,16000) \\ y-16000=90(x-150) \\ y=90x-13500+16000 \\ y=90x+2500 \\ C=90x+2500 \end{gathered}[/tex]

h) Marginal cost = $120, 700 items cost $96,500

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(700,96500) \\ y-96500=120(x-700) \\ y=120x-84000+96500 \\ y=120x+12500 \\ C=120x+12500 \end{gathered}[/tex]

true or false 16/24 equals 30 / 45

Answers

True.

Given:

The equation is, 16/24 = 30/45.

The objective is to find true or false.

The equivalent fractions can be verified by, mutiplying the denominator and numerator of each fraction.

The fractions can be solved as,

[tex]\begin{gathered} \frac{16}{24}=\frac{30}{45} \\ 16\cdot45=24\cdot30 \\ 720=720 \end{gathered}[/tex]

Since both sides are equal, the ratios are equivalent ratios.

Hence, the answer is true.

Jason is making bookmarks to sell to raise money for the local youth center. He has 29 yards of ribbon, and he plans to make 200 bookmarks.Approximately how long is each bookmark, in centimeters?

Answers

The Solution:

The correct answer is 13.26 centimeters.

Explanation:

Given that Jason has 29 yards of ribbon, and he plans to make 200 bookmarks.

We are asked to find the approximate length (in centimeters) of each bookmark.

Step 1:

Convert 29 yards to centimeters.

[tex]\begin{gathered} \text{ Recall:} \\ \text{ 1 yard = 91.44 centimeters} \end{gathered}[/tex]

So,

[tex]29\text{ yards = 29}\times91.44=2651.76\text{ centimeters}[/tex]

Step 2:

To get the length of each bookmark, we shall divide 2651.76 by 200.

[tex]\text{ Length each bookmark = }\frac{2651.76}{200}=13.2588\approx13.26\text{ centimeters}[/tex]

Therefore, the correct answer is 13.26 centimeters.

Write the following phrase as a variable expression. Use x to represent “a number” The sum of a number and fourteen

Answers

we can write "the sum of a number and fourteen", given that x represents any number, like this:

[tex]x+14[/tex]

The lengths of adult males' hands are normally distributed with mean 189 mm and standard deviation is 7.4 mm. Suppose that 15 individuals are randomly chosen. Round all answers to 4 where possible.
a. What is the distribution of ¯x? x¯ ~ N( , )
b. For the group of 15, find the probability that the average hand length is less than 191.
c. Find the first quartile for the average adult male hand length for this sample size.
d. For part b), is the assumption that the distribution is normal necessary? No Yes

Answers

Considering the normal distribution and the central limit theorem, it is found that:

a) The distribution is: x¯ ~ N(189, 1.91).

b) The probability that the average hand length is less than 191 is of 0.8531 = 85.31%.

c) The first quartile is of 187.7 mm.

d) The assumption is necessary, as the sample size is less than 30.

Normal Probability Distribution

The z-score of a measure X of a variable that has mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure X is above or below the mean of the distribution, depending if the z-score is positive or negative.From the z-score table, the p-value associated with the z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. The mean is the same as the population mean.For sample size less than 30, such as in this problem, the assumption of normality is needed to apply the Central Limit Theorem.

The parameters in this problem are given as follows:

[tex]\mu = 189, \sigma = 7.4, n = 15, s = \frac{7.4}{\sqrt{15}} = 1.91[/tex]

Hence the sampling distribution of sample means is classified as follows:

x¯ ~ N(189, 1.91).

The probability that the average hand length is less than 191 is the p-value of Z when X = 191, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (191 - 189)/1.91

Z = 1.05

Z = 1.05 has a p-value of 0.8531, which is the probability.

The first quartile of the distribution is X when Z has a p-value of 0.25, so X when Z = -0.675, hence:

[tex]Z = \frac{X - \mu}{s}[/tex]

-0.675 = (X - 189)/1.91

X - 189 = -0.675 x 1.91

X = 187.7 mm.

A similar problem, also involving the normal distribution, is given at https://brainly.com/question/4079902

#SPJ1

Find the missing quantity with the information given. Round rates to the nearest whole percent and dollar amounts to the nearest cent% markdown = 40Reduced price = $144$ markdown = ?

Answers

The given information:

% mark up = 40

Reduced = $144

Markdown = ?

The formula for percentage markup is given as

[tex]\text{ \%markup }=\frac{markup}{actual\text{ price}}\times100[/tex]

Let the actual price be x

Hence,

Reduced price = 60% of actual price

[tex]60\text{\% of x = 144}[/tex]

Solving for x

[tex]\begin{gathered} \frac{60x}{100}=144 \\ x=\frac{144\times100}{60} \\ x=240 \end{gathered}[/tex]

Therefore, actual price = $240

Inserting these values into the %markup formula gives

[tex]40=\frac{\text{markup}}{240}\times100[/tex]

Solve for markup

[tex]\begin{gathered} 40=\frac{100\times\text{markup}}{240} \\ 40\times240=100\times\text{markup} \\ \text{markup}=\frac{40\times240}{100} \\ \text{markup}=96 \end{gathered}[/tex]

Threefore, markup = $96

name the sets of numbers to which the number 62 belongs

Answers

62

real numbers (not imaginary or infinity)

rational numbers

Integers ( no fraction, included negative numbers)

Whole numbers (no fraction)

Natural numbers (counting and whole numbers)

The ship leaves at 18 40 to sail to the next port.
It sails 270 km at an average speed of 32.4 km/h
Find the time when the ship arrives.

Answers

Answer:

Step-by-step explanation:

Given:

t₁ = 18:40 or  18 h 40 min

S = 270 km

V = 32.4 km/h

____________

t₂ - ?

Ship movement time:

t = S / V = 270 / 32.4 ≈ 8.33 h = 8 h 20 min

t₂ = t₁ + t = 18 h 40 min + 8 h 20 min

40 min + 20 min = 60 min = 1 h

18 h +8 h = 26 h    =  24 h + 2 h

2 h + 1 h = 3 h

t₂ = 3:00

The ship will arrive at the destination port at 3:00 the next day.

Answer:

32.4 - 27.0 = 5.4

18.40 + 54 =

7hrs:34mins

The ship arrived at

7:34pm

What is the area of this rectangle?
3
7b ft
7
3
b+21 ft

Answers

Step-by-step explanation:

the area of a rectangle is

length × width.

in our case that is

(7/3 × b + 21) × (3/7 × b) =

= 7/3 × 3/7 × b × b + 21 × 3/7 × b =

= 1 × b² + 3×3 × b = b² + 9b = b(b + 9) ft²

so, the area is

b² + 9b = b(b + 9) ft²

remember, an area is always a square "something".

a volume a cubic "something".

so, when the lengths are given in feet, the areas are square feet or ft².

find the point that is symmetric to the point (-7,6) with respect to the x axis, y axis and origin

Answers

Answer:

[tex]\begin{gathered} a)(-7,-6)\text{ } \\ b)\text{ (7,6)} \\ c)\text{ (7,-6)} \end{gathered}[/tex]

Explanation:

a) We want to get the point symmetric to the given point with respect to the x-axis

To get this, we have to multiply the y-value by -1

Mathematically, we have the symmetric point as (-7,-6)

b) To get the point that is symmetric to the given point with respect to the y-axis, we have to multiply the x-value by -1

Mathematically, we have that as (7,6)

c) To get the point symmetric with respect to the origin, we multiply both of the coordinate values by -1

Mathematically, we have that as:

(7,-6)

In exercises 1 and 2 , identify the bisector of ST then find ST

Answers

Given: The line segment ST as shown in the image

To Determine: The bisector of ST and the value of ST

Solution

It can be observed from the first image, the bisector of ST is line MW

[tex]\begin{gathered} ST=SM+MT \\ SM=MT(given) \\ MT=19(given) \\ Therefore \\ ST=19+19 \\ ST=38 \end{gathered}[/tex]

For the second image, the bisector of ST is line LM

[tex]\begin{gathered} ST=SM+MT \\ SM=3x-6 \\ MT=x+8 \\ SM=MT(given) \\ Therefore \\ 3x-6=x+8 \\ 3x-x=8+6 \\ 2x=14 \\ x=\frac{14}{2} \\ x=7 \end{gathered}[/tex][tex]\begin{gathered} SM=3(7)-6=21-6=15 \\ MT=7+8=15 \\ ST=SM+MT \\ ST=15+15 \\ ST=30 \end{gathered}[/tex]

For first exercise, the bisector is MW, ST = 38

For the second exercise, the bisector is LM, ST = 30r

I don't get any of this help me please

Answers

Using scientific notation, we have that:

a) As an ordinary number, the number is written as 0.51.

b) The value of the product is of 1445.

What is scientific notation?

An ordinary number written in scientific notation is given as follows:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex], meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1.

For item a, to add one to the exponent, making it zero, we need to divide the base by 10, hence the ordinary number is given as follows:

5.1 x 10^(-1) = 5.1/10 = 0.51.

For item b, to multiply two numbers, we multiply the bases and add the exponents, hence:

(1.7 x 10^4) x (8.5 x 10^-2) = 1.7 x 8.5 x 10^(4 - 2) = 14.45 x 10².

To subtract two from the exponent, making it zero, we need to multiply the base by 2, hence the base number is given as follows:

14.45 x 100 = 1445.

More can be learned about scientific notation at https://brainly.com/question/16394306

#SPJ1

A committee of six people is chosen from five senators and eleven representatives. How many committees are possiblethere are to be three senators and three representatives on the Committee

Answers

SOLUTION

This means we are to select 3 persons from 5 senators and 3 persons from 11 representatives. This can be done by

[tex]^5C_3\times^{11}C_3\text{ ways }[/tex]

So we have

[tex]\begin{gathered} ^5C_3\times^{11}C_3\text{ ways } \\ 10\times165 \\ =1650\text{ ways } \end{gathered}[/tex]

Hence the answer is 1650 ways

Radicals and Exponents Identify the choices that best completes the questions 3.

Answers

3.- Notice that:

[tex]\sqrt[]{12}=\sqrt[]{4\cdot3}=2\sqrt[]{3}\text{.}[/tex]

Therefore, we can rewrite the given equation as follows:

[tex]2\sqrt[]{3}x-3\sqrt[]{3}x+5=4.[/tex]

Adding like terms we get:

[tex]-\sqrt[]{3}x+5=4.[/tex]

Subtracting 5 from the above equation we get:

[tex]\begin{gathered} -\sqrt[]{3}x+5-5=4-5, \\ -\sqrt[]{3}x=-1. \end{gathered}[/tex]

Dividing the above equation by -√3 we get:

[tex]\begin{gathered} \frac{-\sqrt[]{3}x}{-\sqrt[]{3}}=\frac{-1}{-\sqrt[]{3}}, \\ x=\frac{1}{\sqrt[]{3}}\text{.} \end{gathered}[/tex]

Finally, recall that:

[tex]\frac{1}{\sqrt[]{3}}=\frac{\sqrt[]{3}}{3}\text{.}[/tex]

Therefore:

[tex]x=\frac{\sqrt[]{3}}{3}\text{.}[/tex]

Answer: Option C.

At one time, it was reported that 27.9% of physicians are women. In a survey of physicians employed by a large health system, 45 of 120 randomly selected physicians were women. Is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of women physicians in the system exceeds 27.9%?Solve this hypothesis testing problem by finishing the five steps below.

Answers

SOLUTION

STEP 1

The hull hypothesis can written as

[tex]H_0\colon p=0.279[/tex]

The alternative hypothesis is written as

[tex]H_1\colon p>0.279[/tex]

STEP 2

The value of p will be

[tex]\begin{gathered} \hat{p}=\frac{X}{n} \\ \hat{p}=\frac{45}{120}=0.375 \\ \text{where n=120, x=}45 \end{gathered}[/tex]

STEP3

From the calculations, we have

[tex]\begin{gathered} Z_{\text{cal}}=2.34 \\ \text{Z}_{\text{los}}=0.05 \end{gathered}[/tex]

We obtained the p-value has

[tex]\begin{gathered} p-\text{value}=0.0095 \\ \text{level of significance =0.05} \end{gathered}[/tex]

STEP4

Since the p-value is less than the level of significance, we Reject the null hypothesis

STEP 5

Conclusion: There is no enought evidence to support the claim

The seventh term of a geometric sequence is 1/4 The common ratio 1/2 is What is the first term of the sequence?

Answers

Answer:

16

Explanation:

The equation for the term number n on a geometric sequence can be calculated as:

[tex]a_n=a_{}\cdot r^{n-1}[/tex]

Where r is the common ratio and a is the first term of the sequence.

So, if the seventh term of the sequence is 1/4 we can replace n by 7, r by 1/2, and aₙ by 1/4 to get:

[tex]\frac{1}{4}=a\cdot(\frac{1}{2})^{7-1}[/tex]

Then, solving for a, we get:

[tex]\begin{gathered} \frac{1}{4}=a(\frac{1}{2})^6 \\ \frac{1}{4}=a(\frac{1}{64}) \\ \frac{1}{4}\cdot64=a\cdot\frac{1}{64}\cdot64 \\ 16=a \end{gathered}[/tex]

So, the first term of the sequence is 16.

Solve for x using the quadratic formula.3x^2 +10x+8=3

Answers

The quadartic equation is 3x^2+10x+8=3.

Simplify the quadratic equation to obtain the equation in standard form ax^2+bx+c=0.

[tex]\begin{gathered} 3x^2+10x+8=3 \\ 3x^2+10x+5=0 \end{gathered}[/tex]

The coefficent of x^2 is a=3, coefficient of x is b=10 and constant term is c=5.

The quadartic formula for the values of x is,

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

Substitute the values in the formula to obtain the value of x.

[tex]\begin{gathered} x=\frac{-10\pm\sqrt[]{(10)^2-4\cdot3\cdot5}}{2\cdot3} \\ =\frac{-10\pm\sqrt[]{100-60}}{6} \\ =\frac{-10\pm\sqrt[]{40}}{6} \\ =\frac{-10\pm2\sqrt[]{10}}{6} \\ =\frac{-5\pm\sqrt[]{10}}{3} \end{gathered}[/tex]

The value of x is,

[tex]\frac{-5\pm\sqrt[]{10}}{3}[/tex]

gus bought 2/3 pound of turkey and 1/4 pound of ham.The tukey cost 9 dollars per pound, and the ham cost 7 dollars per pound.In all,how much did Gus spend?

Answers

From the information given,

gus bought 2/3 pound of turkey. If tukey costs 9 dollars per pound, it means that the cost of 2/3 pound of turkey is

2/3 x 9 = 6

gus bought 1/4 pound of ham. If ham costs 7 dollars per pound, it means that the cost of 1/4 pound of ham is

1/4 x 7 = 7/4 = 1.75

Total amount spent = amount spent on turkey + amount spent on ham

Total amount = 6 + 1.75

Total amount = $7.75

THIS IS URGENT
A line includes the points (2,10) and (9,5). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

Answers

Answer:

Step-by-step explanation:

y = 13x -12

Other Questions
From least to greatest. -1.4-1.02 -1.20 SeleedhewingRead the sentence from Passage 1.The two visitors heard this strange talk, and they began to wonder if their host meant totoss them into the river bed; rich men had been known to do such things.How does the sentence help develop the conflict?O A.It clarifies that even though the father-in-law's speech is confusing, helets the man and his son know they will be thrown in the river bed.OB. It explains why the father-in-law is angry with the man and his son andwhy they feel they must leave his house immediately.OC. It gives the man and his son a reason to leave the father-in-law's housebecause they know his language does not make sense.OD. It shows that although the man and his son do not understand thefather-in-law, they become afraid of him based on his words. According to don norman, what type of hci design makes all possible commands visible, so at any point a person could discover the actions that need to be taken at any point in a sequence by simply by looking through the set of possibilities?. Why do you think Shakespeare uses the prophecy of the witches to set Macbeth's rise to power in motion? a wheel has a constant angular acceleration of 4 rad/s2. starting from rest, it turns through 300 rad. what is its final angular velocity? how much time elapses while it turns through the 300 radians? Can you please help me out with a question Solve. (7x14)(x5) What would you have to divide 584,900 by in order to have the 4 shift to the onesplace Explain your answer on the lines below. What is the boiling point of a solution of 0.250g of glycerol, C3H8O3, in 40g of H2O? Glycerol is a molecular compound, i = 1 1. Think about the phrase a financially secure retirement. In two to three sentences, describe what a financially secure retirement consists of. heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp 7. (2.01) Which of the following descriptions best describes the Northeast during the Second Industrial Revolution? (5 points)Its high population made it the nation's most important market, or region in which there is a demand for a specific good or service, for manufactured goods.It was national center of meat processing and goods shipping.Its rich natural resources, such as timber and metals, provided necessary raw materials for production.Its overall production levels remained low. By 1890, the industrial output was just half that of the state of New York. What are you thoughts on the article and what he describes as "white-washed" Ancient Egypt. Do you agree or disagree with his point of view? Why do you think Hollywood continuously choose to depict Egyptian characteristics in the manner that they do? your aunt typically plans and reminds family members about birthdays, graduation, trips, holidays and memorial services, what is the another name for this role 11. What sort of feelings does the princess have towards the rewarded fair maiden? How can you tell? as a result of the sigmoidal shape of the o2-hb dissociation curve, there is very little change in hb saturation across a range of po2 values when po2 is high (e.g. between 80 and 100 mm hg in the text book figures). according to the reading, what is an advantage of the relatively flat shape of the curve here? Rapheal is traveling in a straight line at a constant speed from point A to point B. His distance from point B in miles is -20t + 45, where t is the number of hours he has been traveling. What is his speed in miles per hour? find a number of ways in which 4 algebra books, 5 geometry and 2 chemistry books can be placed on a shelf so that the arrangement begins and ends with a chemistry book Rewrite x4y2 3x3y3 using a common factor. 3xy(x3y x2y) 3xy2(x2 x2y) x2y(xy 3xy2) x2y2(x2 3xy) Describe native Americans in 10 sentences paragraph