A long year-end status report for work is 148 pages long. You need to print 15 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.18 each.

Answer:

A, She added before multiplying.

Step-by-step explanation:

First, start off by using GEMDAS.

Grouping

Exponents

Multiply

Divide

Add

Subtract

You work from left to right - so you obviously divide first, which Amanda did successfully. Then, you multiply, which is exactly where Amanda went wrong. She was supposed to multiply before adding the 3 with 4.

Not sure if this made sense,

Answer:

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Step-by-step explanation:

The value of n is 8.

Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.

Using the expansion of Binomial theorem, we can write,

(2 + 3x)ⁿ = ⁿC₀ (2)ⁿ (3x)⁰ + ⁿC₁ (2)ⁿ⁻¹ (3x)¹ + ⁿC₂ (2)ⁿ⁻² (3x)² + ⁿC₃ (2)ⁿ⁻³ (3x)³ + ⁿC₄ (2)ⁿ⁻⁴ (3x)⁴ + .............

Coefficient of x³ is  ⁿC₃ (2)ⁿ⁻³ (3)³ and the coefficient of x⁴ is ⁿC₄ (2)ⁿ⁻⁴ (3)⁴.

Ratio of these coefficients is 8 : 15.

[ⁿC₃ (2)ⁿ⁻³ (3)³] / [ⁿC₄ (2)ⁿ⁻⁴ (3)⁴] = 8 / 15

Simplifying,

(4 × 2) / [(n - 3) 3] = 8/15

8 / 3n - 9 = 8 /15

Equating, we have,

3n - 9 = 15

3n = 24

n = 8

Hence the value of n is 8.

Learn more about Binomial Theorem here :

https://brainly.com/question/30100273

#SPJ1

Answer:

The amount of fabric needed to create one quilting square is 8 inches.

Answer:

The amount of fabric needed to create one quilting square is 8 inches.

Step-by-step explanation:

Answer:

try

Step-by-step explanation:

try solving it on ur own or take a educated guess

with no further informations, just go by looking at it.

it's 90°, all other options are too far off

Answer:

x = 76

Step-by-step explanation:

-4( x - 26 ) = -200

-4x + 104 = -200

-4x = -304

x = 76

Hopefully this helps!

Brainliest please?

the value of x is 76

\( - 4(x - 26) = - 200\)

\( - 4x + 104 = - 200\)

\(104 + 200 = 4x\)

\(304 = 4x\)

\( \frac{304}{4} = x\)

\(x = 76\)

Answer:

See below.

Step-by-step explanation:

We are asked for the diameter, radius, and area of a circle.

We are given the Circumference.

We should know that;

\(Circumference = (diameter)\pi\)

\(Circumference = 24\pi\) (Exact)

This means that the Diameter is 24.

The Radius is \(\frac{1}{2}\) of the Diameter.

This means that the Radius is 12.

The area of a circle is represented as;

\(Area = \pi(radius)^2\)

We have the requirements to find the area, with the value of the radius.

Solve for the area;

\(Area = \pi(12)^2\)

\(Area = 144 \pi\) (Exact)

\(Area = about \ 452.39.\) (Approx.)

Answer: the price per game is 4 per game and the shoe rental is the additional fee to bowl

Step-by-step explanation:

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

there's no question...

Lower quartile. The correct option is A

The lower quartile, often known as the first quartile or Q1, is a measure of central tendency that separates the bottom 25% of a data set from the rest of the data.

In this instance, five out of the 20 students received scores of 70 or lower, which equals a 25% proficiency rate.

Therefore, 70 or below is the lower quartile.

Learn more about Lower quartile here : brainly.com/question/28169373

#SPJ1

Answer:

Step-by-step explanation:

Since X and Y are supplementary angles it means that the sum of their angles add up to 180°

To find Y , add X and Y and equate it to 180° and solve

That's

X + Y = 180

Y = 180 - X

X = 72°

Y = 180 - 72

We have the final answer as

Hope this helps you

Answer:

They are mirrors of eachother over the x-axis.

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

16x - 8 = 14x + 14

16x - 14x - 8 = 14x - 14x + 14

2x - 8 = 14

2x - 8 + 8 = 14 + 8

2x = 22

2x/2 = 22/2

x=11

Therefore, the surface area of the new cube is (9/4) (6\(s^{2}\)) = 27/2\(s^{2}\).

Surface area refers to the total area that the surface of an object or a three-dimensional shape covers. It is measured in square units and includes all the faces, sides, and curved surfaces of the object. The surface area is a fundamental concept in geometry and is used to calculate various properties of objects, such as their volume, density, and material requirements. The formula for calculating the surface area of an object depends on the shape of the object. For example, the surface area of a cube is calculated by adding up the areas of its six faces, while the surface area of a sphere is calculated by multiplying the square of its radius by 4π.

Given by the question.

Let's assume that the original cube has a side length of s. Then, the surface area of the original cube is 6s^2, since a cube has 6 square faces with side length s.

When this cube is dilated by a scale factor of 3/4, the new side length becomes (3/4) s. The surface area of the new cube is then 6\((\frac{3}{4})^{2}\), which simplifies to 9/4 times the surface area of the original cube.

To more learn about cubic:

https://brainly.com/question/29249320

#SPJ1

Answer:

Step-by-step explanation:

Perimeter add all the sides.

so let's walk around and combine like terms:

starting on the bottom moving to the left.

3x^2 + x^2= 4x^2 (there are no other squared terms)

back to the bottom moving left again:

-11x-3x+3x+x = -10x (-3x + 3x =0)

so -11x + x = -10x

now add all of the constants

-1 + 2 = 1

so your answer is

4x^2 -10x + 1

Answer:

3.43×10^5

343000

Step-by-step explanation:

i hope this will help you :)

The Standard form is 34100.

The Standard form is

\(3.43\times10^5\\=3.43\times10\times10\times10\times10\times10\\=3.41\times100000\\=341000\)

Hence, the Standard form is 34100.

To know more visit:

https://brainly.com/question/13139379

Answer:

\(\boxed {\boxed {\sf 2 \ significant \ figures}}\)

Step-by-step explanation:

According to the "rules" of significant figures, all the zeroes to the right of the final non-zero number are not significant, unless there is a decimal point.

We are given the measurement:

84,000 kg

If there was a decimal point (84,000.0 kg), then there would be 5 significant figures.

Since there isn't a decimal point, all 3 zeroes to the right of the number 4 aren't significant. The 8 and 4 are significant, so there are 2 significant figures.

The volume of the solid is \(4(4y-\frac{y^{3} }{3} )\)

Calculating an integral is called integration. Mathematicians utilize integrals to determine a variety of useful quantities, including areas, volumes, displacement, etc. When we discuss integrals, we often refer to definite integrals. For antiderivatives, indefinite integrals are utilized. Apart from differentiation, integration is one of the two main calculus subjects in mathematics (which measure the rate of change of any function with respect to its variables).

For a circle of radius 2, we have the following equation:

\(x^{2} +y^{2} = 2^{2} =4\)

Now, making it explicit for x:

\(x=\sqrt{4-y^{2} }\)

Then, if we consider that for a height y, the length x is double, we have that the length of each cross-section is given by:

\(s=2\sqrt{4-y^{2} }\)

With this, we can propose the following integral to obtain the volume that they are asking us:

\(\int\limits^2_0 {s^{2} } \, dy\\\int\limits^2_0 ({2\sqrt{4-y^{2} }) ^{2} } \, dy\\\\\int\limits^2_0 {4*(4-y^{2} ) } \, dy\\\\4(4y-\frac{y^{3} }{3} )\)(evaluated between 0 and nine )

To know more about integration visit: brainly.com/question/18125359

#SPJ4

Answer:

8

Step-by-step explanation:

Answer:

10 dollars for adult tickets and 6 dollars for student tickets

Step-by-step explanation:

a=adult tickets

s=student tickets

4a+2s=52              3a+5s=60

5(4a+2s=52)         2(3a+5s=60)

20a+10s=260        6a+10s=120

-6a+10s=120

14a=140

a=10

10 dollars per adult ticket

4(10)+2s=52

40+2s=52

2s=12

s=6

6 dollars per student ticket

I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.

For this problem, simply find the inverse of f(x).

If you are stuck, I could provide you with a solution below...

f(x) = 8x³ - 2

y = 8x³ - 2

y + 2 = 8x³

(y + 2)/8 = x³

cube root((y + 2)/8) = x

g(x) = cube root((x + 2)/8)

The value of function g(x) after solving will be ∛(x + 2) / 2.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The value of function,

f(x) = 8x³ − 2

And, f(g(x)) = x and g(f(x)) = x

Now,

Since, f(g(x)) = x

And, f(x) = 8x³ − 2

The substitute x = g (x) in above equation we get;

f (g(x)) = 8 (g(x))³ - 2

x = 8 (g(x))³ - 2

Add 2 both side;

x + 2 = 8 (g(x))³  

Divide by 8;

(x + 2)/8 = (g(x))³

Take cube root both side;

∛(x + 2)/8 = g(x)

g(x) = ∛(x + 2) / 2

So, The value of function g(x) after solving will be ∛(x + 2) / 2.

Learn more about the function visit:

https://brainly.com/question/24748644

#SPJ2

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

for more such question on correlation visit

https://brainly.com/question/13879362

#SPJ8

Answer: 66 + 72 = 138 in^2

Step-by-step explanation:

Split the figure into two rectangles. The rectangle has the dimensions 6 and 11. 6 x 11 = 66 in^2. Now do the other one

The 2nd rectangles dimensions are 9 and 8. 9 x 8 = 72 in^2

Answer:

138 in^2

Step-by-step explanation:

The rectangle on the left has an area of

A = l*w = 19*6 = 114 in^2

The rectangle on the right has an area of

A = l*w = 3*8 = 24 in ^2

Add the two areas together

114+24 =138 in ^2

Answer:

Step-by-step explanation:

1). Angle BFC and angle DFE,

  Vertical angles.

2). Angle BFA and angle DFE,

  Neither

3). Angle BFC and angle CFD,

  Linear pair of angles.

4). Angle AFE and angle AFC,

  Linear pair of angles.

5). Angle BFE and angle CFD,

  Vertical angles.

6). m∠AFB + m∠AFE + m∠EFD = 180° [Linear angles]

    Since, m∠AFB = m∠EFD = 50°

    Therefore, 50° + m∠AFE + 50° = 180°

    m∠AFE = 180 - 100

                  = 80°

7). m∠DFC = m∠BFE [Vertical angles]

    m∠BFE = m∠BFA + m∠AFE

                 = 50° + 80°

                 = 130°

    Therefore, m∠DFC = 130°