The American Opportunity Tax Credit is a tax credit to help pay for education expenses paid for the first four years of education completed after high school. You can get a maximum annual credit of $2,500 per eligible student and 40% or $1,000 could be refunded if you owe no tax.

Francis owns a cake shop. She is currently preparing cupcakes (x) and cookies (y) for two birthday

parties. The first birthday party ordered 20 cupcakes and 40 cookies and their total cost was $61. The second birthday party ordered 30 cupcakes and 30 cookies. Their total cost was $64.50.

The cost of** cupcakes** is **$1.25 **and** cookies** costs** $0.90. **

Two** equations **that would be used to determine the required values can be derived from this question:

20x + 40y = 61** equation 1 **

30x + 30y = 64.50 **equation 2**

In order to determine the value of y, the following steps would be taken: Multiply **equation 1 **by 3 and **equation 2** by 2.

60x + 120y = 183 **equation 3 **

60x + 60y = 129** equation 4 **

Subtract **equation 4 **from 3

60y = 54

Divide both sides of the equation by 60

**y = $0.90**

Substitute for y in e**quation 1**

20x + 40(0.9) = 61

20x + 36 = 61

20x = 61 - 36

20x = 25

x = 25 / 20

** x = $1.25**

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The standard error of is the _____. Group of answer choices variance of variance of the sampling distribution of standard deviation of the sampling distribution of difference between the two means

**Answer:**

standard deviation of the sample distribution of the difference between these two sample means

**Step-by-step explanation:**

This shape is broken up into rectangles. What is the area of the

entire shape?

**Answer:**

38inch2

**Step-by-step explanation:**

3inch*2inch+8inch*4inch

=6inch2+32inch2

=38inch2

HELP

find the a,b,c of this table

**Answer:**

*a = b = 1 , c = - 8*

**Step-by-step explanation:**

ax² + bx + c = y

( - 5 )² a - 5b + c = 12

*c = - 8*

3² a + 3b + c = 4

25a - 5b - 8 = 12 ⇔ 25a - 5b = 20 ⇔ 5a - b = 4 ........ *(1)*

9a + 3b - 8 = 4 ⇔ 9a + 3b = 12 ⇔ 3a + b = 4 .......... *(2)*

** (1)** +

8a = 8 ; *a = 1*

*b = 1*

*y = x² + x - 8*

A marketing research company is estimating which of two soft drinks college students prefer. A random sample of n college students produced the following 95% confidence interval for the proportion of college students who prefer drink A: (.262. .622). Identify the point estimate for estimating the true proportion of college students who prefer that drink.

A) .18

B) .622

C) .262

D) .442

===================================================

Explanation:

To get the point estimate, we average the endpoints of the given confidence interval. Add up the endpoints and divide by 2

(low+high)/2 = (0.262+0.622)/2 = **0.442**

The value **0.442** is right in the middle of the confidence interval, so it's a natural point estimate for the population proportion.

--------------

Alternative Method:

Subtract the endpoints to find the confidence interval width

width = high - low = 0.622 - 0.262 = 0.36

Cut this in half to get the margin of error (MoE)

MoE = width/2 = 0.36/2 = 0.18

Then we can either add on the MoE to the low endpoint, or subtract it from the high endpoint, to land on the center

center = low + MoE = 0.262 + 0.18 =❤️‼️‼️‼️‼️‼️‼️‼️❌❌❣️❣️❣️❣️❣️❣️

Answer: a

Step-by-step explanation:

**Answer:**

it's A

**Step-by-step explanation:**

Select the equation of the quadratic function that models the relationship between time and height for an object thrown into the air, as presented in the parabola above.

Question 5 options:

A) ƒ(x) = –(x + 2)2 + 7

B) ƒ(x) = –(x – 2)2 + 7

C) ƒ(x) = (x – 2)2 + 7

D) ƒ(x) = (x + 2)2 + 7

**Answer:**

B

**Step-by-step explanation:**

lmk if you want an explanation

If 90° < θ < 180° and cscθ = 3, then cotθ = _____.

[tex]\text{Given that,}\\\\\csc \theta = 3\\\\\implies \csc^2 \theta = 9\\\\\implies 1+ \cot^2 \theta = 9\\\\\implies \cot^2 \theta = 8\\\\\implies \cot \theta = \pm \sqrt 8 = \pm 2\sqrt 2\\\\\text{Since,}~90^{\circ}< \theta < 180^{\circ},\\\\\cot \theta = -2\sqrt 2[/tex]

In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 27 feet long with a wingspan of 18 feet. If the finished model will be 13.5 inches long, what will the wingspan be?

The **length** of the **wingspan** of the **finished model** based on the dimensions of the kit is **0.75 feet**

Given:

Kit

Plane = **27 feet**

wingspan = **18 feet**

Model:

Plane = **13.5 inches**

Wingspan = **x feet**

**convert** 13.5 inches to feet

1 feet = 12 inches

13.5 inches = **1.125 feet**

So,

**equate** Ratio of plane to wingspan

27 : 18 = 1.125 : x

27/18 = 1.125 / x

**cross product**

27 × x = 18 × 1.125

27x = 20.25

x = 20.25/27

**x = 0.75 feet**

Therefore, the **length** of the **wingspan** of the **finished model** based on the dimensions of the kit is **0.75 feet**

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Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:

x 1 2 3 4

p(x) 0.4 0.3 0.2 0.1

The required** linear equation **representing the **distribution** is

**p(x) = -0.1x + 0.5**

From the table given, we can generate the** equation for the distribution.**

Expressing as a **coordinate form** (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)

The linear expression will be in the form p(x) = mx + b

m is theGete the **rate of change:**

m = 0.3-0.4/2-1

m = -0.1/1

m = -0.1

Get the **intercept.**

0.4 = -0.1(1) + b

0.4 = -0.1 + b

b = 0.4 + 0.1

b = 0.5

Hence the required** linear equation **representing the **distribution** is

**p(x) = -0.1x + 0.5**

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Simplify: (ab + bc) (ab - bc)

[tex] \: \: \: \: [/tex]

[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]

**Step-by-step explanation:**

[tex](ab + bc)(ab - bc)[/tex]

use[tex](ab {)}^{2} - (bc {)}^{2} [/tex]

to raise a[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]

hope it helpsAYO y'all can someone help wit this question urgent?

the amount in Maddies back account can be written ad a function of time. What is the equation for maddies bank account?!?

**Answer:**

I think this is right lol

**Step-by-step explanation:**

f(x)=49+x

Find the slope of the line that passes through (28, -25) and (27, 25).

Slope is the change in Y over the change in X:

Slope = (25- -25) / (27 - 28)

Slope = 50/-1

**Slope = -50**

he Nassau Bahamas Community College (NBC) claims that students who take statistics spend on average 19 hours a week working. The population standard deviation is not known. Statistics students in MAT 102 believe students work more than 19 hours because they want to make more money.

Using the **t-distribution,** it is found that since the test statistic is greater than the critical value for the right-tailed test, it is found that there is **enough evidence** to conclude that the **students' claim** that they work more than 19 hours is **correct**.

At the **null hypothesis**, it is tested if they spend on average 19 hours a week working, that is:

[tex]H_0: \mu = 19[/tex]

At the **alternative hypothesis**, it is tested if they spend more than 19 hours a week working, that is:

[tex]H_1: \mu > 19[/tex]

We have the standard deviation for the sample, hence, the *t-distribution* is used.

The** test statistic **is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The **parameters **are:

Searching the problem on the internet, it is found that the **values **of the *parameters *are:

[tex]\overline{x} = 24.2, \mu = 19, s = 12.59, n = 25[/tex]

Hence, the **value **of the *test statistic* is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{24.2 - 19}{\frac{12.59}{\sqrt{25}}}[/tex]

[tex]t = 2.07[/tex]

The **critical value** for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 25 - 1 = 24 df is of [tex]t^{\ast} = 1.71[/tex]

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is **enough evidence** to conclude that the **students' claim** that they work more than 19 hours is **correct**.

To learn more about the **t-distribution,** you can take a look at https://brainly.com/question/13873630

2+2 (I have been struggling on this for a long time)

You might need a maths degree for this one, I believe it’s 4 but don’t quote me on that.

It’s is 4 2+2=4 ez your welcome

The polygons are similar. Find the value of each variable.

[tex]\\ \sf{:}\dashrightarrow \dfrac{4}{x}=\dfrac{6}{9}[/tex]

[tex]\\ \sf{:}\dashrightarrow 6x=36[/tex]

[tex]\\ \sf{:}\dashrightarrow x=6[/tex]

#y

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{12}{18}[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{y}{12}=\dfrac{2}{3}[/tex]

[tex]\\ \sf{:}\dashrightarrow 3y=24[/tex]

[tex]\\ \sf{:}\dashrightarrow y=8[/tex]

Here we go

4/x=6/94/x=2/32/x=1/3x=6And

y/12=12/1818y=12²18y=144y=8Can someone please help me with both questions I will mark u brilliant

1. We can simply multiply 6.50 by 2!

6.50 x 2 = 13

The book cost $13

2. The easiest way to do this is to convert the fractions into decimals.

1/4 = 0.25

1/5 = 0.2

1/8 = 0.125

Add them together: 0.575!

Subtract this from 1: .425

Multiply by 100: 42.5

42.5% is your answer!

Hope this helps!

Answer: B

Step-by-step explanation:

Help with the answer

**Answer:**

3 6/7

**Step-by-step explanation:**

Absolute value is the distance a number is away from 0 on a number line; another way of thinking about absolute value is that it is the positive version of every number. So, the absolute value of -1 is 1, and the absolute value of 88 is 88. We can apply this rule to 3 6/7 - how far is it away from 0 on the number line? What is it as a positive number? Well it is 3 6/7 away from 0 on the number line, and it already is positive, so our final answer will be **3 6/7**.

Hopefully that's helpful! :)

[tex]|3\frac{6}{7}|=3\frac{6}{7} =\frac{27}{7}[/tex]

ok done. thank to me :>

Each factory at a candy company has 498 workers. There are 12 factories. )

How many workers are employed at each candy company

**Answer:**

5,976 workers

**Step-by-step explanation:**

498 times 12 = 5976

**Answer: 41.5**

**Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.**

What is the answer to this 1/3(n+1)=1/6(3n-5)

**Answer:**

n=7

distribute 1/3 by 1/3 and 1 then distribute 1/6 to 3n and 5 combine like terms for both sides simplifying to -n=(-7) divide - by n and -7 getting you n=7.

To increase the volume of a sphere, you

must in crease the radius

decrease the radius

None of the answer choices is correct

decrease the circumference

Must increase the radius r, as volume of a sphere depends on the radius.

The volume of a **sphere **is directly **proportional **to the radius cube thus with an increase in the **radius **it will increase so option (A) is correct.

A sphere is a 3D geometrical **object **which has a radius and becomes a point that **revolves **around a fixed point called the **center**.

For example, if you have a **sphere **of **radius **r then its surface area will be 4πr² and

The volume of a sphere with **radius **r is given as (4/3)πr³.

V ∝ r³

By **increasing **the **radius **r the volume V will rapidly increase.

Hence "Because the **volume **of a sphere is precisely proportional to the cube of its radius, it will **grow **as the radius grows".

For more about a **sphere**,

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If Jenny can read 7 books in 8 days, exactly how many days would it take her to read 20 books?

**Answer:**

17 and a half days OR 18 days

**Step-by-step explanation:**

7 books : 8 days

20 books: x days

cross multiply

x = (8×20)÷ 7

x = 17.5

therefore

17 and a half days or 18 days

determine the right and left hand behavior of the graph of the following functions.

[tex]f(x)=6-2x+4x^{2} -5x^{3}[/tex]

**Answer:**

x → -∞, y → ∞

x → ∞, y → -∞

**Step-by-step explanation:**

The function is odd degree with a negative leading coefficient. Its shape is generally down to the right (\). The end behavior will be ...

** x → -∞, y → ∞**

** x → ∞, y → -∞**

1. Write

500 + 40 + 7 +

6 x (1/10) +

8 X (1/100) +

3 x (1/1000)

in standard form.

The answers

1) 547

2) 0.6

3) 0.08

4) 0.003

1) 547

2) 0.6

3) 0.08

4) 0.003

If f(x)=7e^x, find which is the value of f(−3) rounded to the nearest hundredth.

**Answer:**

[tex]f(-3)\approx0.35[/tex]

**Step-by-step explanation:**

[tex]f(x)=7e^x[/tex]

[tex]f(-3)=7e^{-3}\approx0.35[/tex]

Sheila is making accessories for the soccer team. She uses 883.14 inches of fabric on headbands for 38 players and 3 coaches. She also uses 324.52 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

**Answer:**

29.455

**Step-by-step explanation:**

add the inches of fabric together and divide by the total number of players and coaches

Which choices are equivalent to the expression below? Check all that apply.

5/3

I A. 75

]

B. v3.15

I C. 75

O D. 125. 3

IE. 45

0 F 15.15

Answer:

ADF

Step-by-step explanation:

A.root 75=root25 xroot3=5root3

B.=root15

C=75

D=5root3

E:=root9xroot5=3root5

F=root5xroot5xroot3=5root3

The solution is Option A , Option D , Option F

The values of the **equations **are √75 , √25 x √3 and √15 x √5

**What is an Equation?**

**Equations **are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an **equation**. The "=" sign and terms on both sides must always be present when writing an **equation**.

Given data ,

Let the **equation **be represented as A

Now , the value of A is

A = 5√3 be **equation **(1)

On simplifying the **equation **, we get

The value of A = √ ( 5 )² ( 3 )

The value of A = √25 x √3

The value of A = √75

The value of A = √15 x √5

Hence , the values of the **equations **are √75 , √25 x √3 and √15 x √5

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Opposite rays form a:

O line

O ray

O point

O plane

5

**Answer:**

ray

**Step-by-step explanation:**

A pair of opposite rays form a straight line.

Explanation:

A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. So, together a pair of opposite rays always form a straight line. So line is your answer.

Explanation:

A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. So, together a pair of opposite rays always form a straight line. So line is your answer.

14. The sun casts a shadow from a flag pole. The height of the flag pole is three times the length of its shadow. The distance between the end of the shadow and the top of the flag pole is 20 feet. Find the height of the flag pole.

7

It would be about 6.7 ft

It would be about 6.7 ft

...................................................................

plz write your proper question

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A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assigneach child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. Thefirst group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourthgroup has six hours of screen time,After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each groupexperiences each of the four treatments.Which statements about this study are true?This study uses blinding.This study uses random samplingThis study uses a control group.This study uses blocking.This study uses a repeated measures design.