What is the area in square inches of the isosceles trapezoid below?
6.5
5
15.1

Answer:

Step-by-step explanation:

When you have a negative exponent, you can put a 1 over the entire thing and make the exponent positive:

\(\frac{1}{(\frac{1}{4}^2) }=\frac{1}{\frac{1}{16} } =16\)

Number of students included  in the sample to estimate the proportion with confidence interval 95% is equal to 9604.

As given in the question,

Confidence interval = 95%

z -critical value for 95% confidence interval = 1.96

Estimate proportion is in the limit 0f 0.07

Let us assume value of

sample proportion 'p' = 0.5

Margin of error  = 0.01

level of significance = 0.05

let 'n' be the sample size to represent number of students included for the hypothesis.

n = p ( 1 - p ) ( z- critical value / margin of error )²

⇒ n = 0.5 ( 1 - 0.5 )( 1.96 / 0.01 )²

⇒ n = 0.5 (0.5 ) (3.8416/ 0.0001)

⇒ n = 0.25 × 38416

⇒ n = 9604

Therefore, the number of students included for the hypothesis to estimate the proportion with confidence interval 95% is equal to 9604.

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Answer:

x = 21

Step-by-step explanation:

let the number be x

-4(x-14) = -28

-4x + 56 = -28

-4x = -28 - 56

-4x = -84

x = 84/4 = 21

After the rotation of 270° counter-clockwise about the origin, the coordinates become A'(6, - 9).

Given is the coordinate of point as (6, 9). It is rotated by 270° counter clockwise about the origin.

After the rotation of 270° counterclockwise about the origin, the coordinates will become -

A(x, y) → A'(y, - x)

So, the coordinates will become -

A(6, 9) → A'(6, - 9)

Therefore, after the rotation of 270° counter-clockwise about the origin, the coordinates become A'(6, - 9).

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Answer:

Step-by-step explanation:

Answer:

If you want to get the result like I did, Desmos is a great website that help you graph any kind of equation.

Step-by-step explanation:

I placed y=-5/2x +2  into desmos and it spat out this graph. If you want to do it algabreacly, I suggest making an x and y t-chart and start plugging in x numbers in terms of y. Lets say you plug in 1 as x, you would to 5/2(1) +2 giving you 2 5/2 or 4 1/2 as your y coordinate if x is 1. This makes your point (1, 4 1/2). I'd say do about 3 coordinates at least and then draw a line straight through those point giving you your graphed equation.

Answer:

64

Step-by-step explanation:

She drinks 4 ounces every 30 minutes.

4*2= 8 She drinks 8 ounces in an hour.

8*8=64 She drinks 64 ounces in 8 hours

Answer: 13.56 kg

Step-by-step explanation:

We can make two equations:

1) A = B + 2.5

2) C = B - 4.86

Replace C with 6.2.

(6.2) = B - 4.86 can be rewritten as 6.2 + 4.86 = B.

B = 11.06

Add 2.5 to 11.06 and you get 13.56 kg.

The variance of the set of data is 10. Option A

Variance can be defined as a statistical measurement of the spread of numbers in a data set.

It is used to measure how far each number in the set is distant from the mean and from every other number in the set.

It is sometimes described as the measure of variability.

It is denoted with the mathematical symbol,'σ²'

The formula for calculating the variance of a set of data is;

Variance = ∑(x-x⁻)²/n - 1

Substitute the values, we have;

Variance = 16 + 4 + 4 + 16 + 0/5 - 1

Add the values

Variance = 40/4

Divide the values

Variance = 10

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Answer: search up Expand and simplify trinomial square (a + b + c)^2 = a^2+b^2+c^2+2ab+2ac+2bc  on yutube and a video named that should show up

Step-by-step explanation:

this video helped me hope it could help you as well!

Answer:

A

Step-by-step explanation:

m=y2-y1/x2-x1

4-2=2

6-3=3

2/3

hope this helps =3

Answer:

The answer is 2/3

Step-by-step explanation:

Answer: B) y=2x+1

Step-by-step explanation:

These are in slope intercept form which is y=mx+b

where m is the slope and b is the value of the y intercept

Since the y-intercept is 1 on this line that leaves us with A, B, and C

Using the communitive property on the equation in C we can make the equation go from y=1-2x to y=-2x+1

This is the same answer as A and since there can't be two of the same answer leaves B as the only possible answer.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(B)\text{ } y=2x+1\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

We can double check by algebraically working it out:

\(\boxed{\text{Slope:}}\\\\\text{Two points on the graph are } (-2,-3) \text { and } (1,3).\\\\m = \frac{3-(-3)}{1-(-2)}\\\\m= \frac{6}{3}\\\\\boxed{m=2} \\\\\text{The slope is 2.}\)

⸻⸻⸻⸻

\(\boxed{\text{Y-Intercept:}}\\\\\text{The line passes through point (0, 1). The y-intercept is 1.}\)

⸻⸻⸻⸻

\(\text{Using a slope intercept equation, we can develop the equation: } \boxed{y =2x+1}\).

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The value of the line integral is 17/15. None of the given choices (A, B, C, D, E) match the computed value of the line integral.

To find the value of the line integral, we need to parametrize the curve C that bounds the region. Let's parameterize the curve as follows:

x = t

y = t^2

where t ranges from 0 to 1.

Now, we can compute the line integral using the given differential form:

f(x, y) = f(2xy - x^2) dx + (x + y^2) dy

Substituting the parameterization into the differential form, we have:

f(t, t^2) = f(2t(t^2) - t^2) dt + (t + (t^2)^2) 2t dt

Simplifying this expression, we get:

f(t, t^2) = f(t^3) dt + (t + t^4) 2t dt

          = f(t^3) dt + 2t^2 dt + 2t^5 dt

          = t^4 dt + 2t^2 dt + 2t^5 dt

          = (t^4 + 2t^2 + 2t^5) dt

Now, we integrate this expression with respect to t, from 0 to 1:

∫[0,1] (t^4 + 2t^2 + 2t^5) dt

Evaluating this integral, we get:

[(1/5)t^5 + (2/3)t^3 + (2/6)t^6] evaluated from 0 to 1

= [(1/5)(1)^5 + (2/3)(1)^3 + (2/6)(1)^6] - [(1/5)(0)^5 + (2/3)(0)^3 + (2/6)(0)^6]

= (1/5) + (2/3) + (2/6) - 0

= 1/5 + 2/3 + 1/3

= 7/15 + 2/3

= 7/15 + 10/15

= 17/15

Therefore, the value of the line integral is 17/15.

None of the given choices (A, B, C, D, E) match the computed value of the line integral.

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Answer:

4 247/290 or 4.85 ft/year

Step-by-step explanation:

93 4/5 ÷ 19 1/3 = 469/5 ÷ 58/3 = 469/5 x 3/58 = 1407/290 = 4 247/290

The table is attached below.

What are table entries?

Entities are gathered at tables. A group of properties makes up an entity. Each object may contain up to 252 name-value pairs for its properties.

From the information given, we can make a table to display all the options available for Michael to choose clothing options.

The table is attached as follows:

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There are 12 clothing options for Michael to choose from in his closet. By the fundamental principle of counting, the possible number of options is calculated.

The fundamental principle of counting states that an operation/event can be performed in 'm' ways and a second operation/event can be performed in 'n' ways. Then there are (m × n) ways for the two operations to be performed together.

It is given that,

Michael is having three shirts - yellow, green, and orange; two pairs of shorts: navy, gray and two footwear: tennis shoes and sandals.

So, we can write

the number of shirts = 3

the number of shorts = 2

the number of footwear = 2

Then, according to the fundamental principle of counting, all these are multiplied to get the total number of ways that he can wear them together.

I.e., 3 × 2 × 2 = 12

Therefore, there are 12 combinations for him to choose one among these.

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I think you're correct! If you could send a picture, it would be much clearer. But, A would be area (since it is in square units) and e would be length. w would be the width.

Answer:

commutative

Step-by-step explanation:

it is commutative because both side equal the se thing

Answer:

Step-by-step explanation:

The question is

There is 11.73 kg of chocolate candies in the grocery store. The first customer bought 48 dag of candies. A second customer bought 4/5 of the remaining quantity. The last three customers bought the same amount of candy. How much chocolate did the last customers get?

Givens

Let's transform 48 dag to kilograms.

\(48dag \times \frac{1kg}{100dag}= 0.48 \ kg\)

Therefore, the first costumer bought 0.48 kilograms of candies.

The remaining amount is: \(11.73kg-0.48kg=11.25kg\)

Now, we need to multiply the remaining amount of candies with 4/5

\(\frac{4}{5} \times 11.25kg=9 \ kg\)

Therefore, the second costumer bought 9 kilograms of chocolate candies.

At last, we need to find the new remaining part of candies, which is

\(11.25-9=2.25 \ kg\)

Therefore, the last costumers got 2.25 kilograms of chocolate candies.

Multiplication operation is the inverse of the one in the given equation which is 9 = p/8.

What is an inverse?

The opposite of another operation is referred to as the "inverse" in mathematics. The operations that cancel out or are the opposite of one another are referred to as inverse operations. The work of a pair is reversed by an inverse operation.

We are given an equation as 9 = p/8.

In this equation,  we can see that the operation used is division.

We know that inverse of division is multiplication.

Hence, multiplication operation is the inverse of the one in the given equation.

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Answer:

can I see a picture? so I can try & help u

Answer:

x≥-5

Step-by-step explanation:

Answer:

∠ W = 30°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WY}{WX}\) = \(\frac{2\sqrt{21} }{4\sqrt{7} }\) = \(\frac{1}{2}\) \(\sqrt{\frac{21}{7} }\) = \(\frac{\sqrt{3} }{2}\) , then

∠ W = \(cos^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 30°

Answer:

see below

Step-by-step explanation:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

FOIL

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Step-by-step explanation:

To find the height of the rectangular prism, you will need to use the formula for the volume of a rectangular prism, which is:

Volume = Length × Width × Height

In this problem, you have:

Volume = 2,610 cubic inches

Length = 3 inches

Width = 29 inches

You'll need to solve for Height. Using the formula:

2,610 = 3 × 29 × Height

First, multiply the length and width together:

2,610 = 87 × Height

Next, divide both sides by 87 to isolate Height:

Height = 2,610 / 87

Height = 30 inches

So, the height of the rectangular prism is 30 inches.

Answer:

30 inches.

Step-by-step explanation:

Given:
Volume=2610 cubic inches,

length=3 inches

width=29inches

Volume of a rectangular prism is given by.

Volume = length * width * height

We know the volume, length and width. So, we can find the height as follows:

Substituting value

2610=3*29*height

2610=87*height

height=2610/87

height=20 inches

Therefore, the height of the rectangular prism is 30 inches.

Answer:

Yes

Step-by-step explanation:

So start with (0,1) the y intercept and make the first point at (0,1)

Think of m ( the slope) as the mountain slope, This is the angle of the slope of the line

So in this case go up three on the y axis and over 1 on the x axis.

make the next point at 1 + 3 = 4 for the y value and 0 + 1 = 1 for the x value. Make the next point at ( 1, 4)

Now connect the points. creating the line

hope this helps!

Answer:

19/3 (6 1/3)

Step-by-step explanation:

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Answer:

Exact Form:

cos

(

77

°

)

Decimal Form:

0.22495105

…

Step-by-step explanation:

Answer:

cos 77 = 0.23

Step-by-step explanation:

cos 77 = 0.2250

Answer:

Step-by-step explanation:

\(\mathrm{\cfrac{1}{4}\left(-4^3+10^2\right)}\)

\(\mathrm{\cfrac{1}{4}\times\:36}\)

Therefore, option B. 9 is our answer!

____________________

Hope this helps!

The points jada score is 159.25.

Given that james scored 182 points while playing a video game and he scored 7 times as many points as jada scored.

Let x be the points scored by james and y be the points scored by jada.

The total points scored by james and jada is 182 points.

x+y=182    .....(1)

James scored 7 times many points as jada scored.

y=7x         .....(2)

So, there are two equations and two unkowns.

Firstly, we will substitute equation (2) in equation (1), we get

x+7x=182

8x=182

Divide both sides by 8, we get

8x/8=182/8

x=22.75

Further, we will substitute the value of x in equation (2), we get

y=7×22.75

y=159.25

Hence, the jada score 159.25 when james scored 182 points while playing a video game and ahe scored 7 times as many points as jada scored.

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