A raffle is being held to benefit the local animal shelter. They sell 717 tickets that do not win any prize, 19 tickets that win a free adoption (valued at $20), and one ticket that wins $166 worth of pet supplies and toys. If they are selling the tickets for $5 each, how much should the shelter expect to earn for each ticket sold?

Answer:

8

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial [tex]f(x)[/tex] being divided by a factor in the form of [tex](x-a)[/tex], then the remainder of the polynomial is given by [tex]f(a)[/tex].

We have the polynomial:

[tex]f(x)=3x^{15}-5x^{12}+7x^6-3x^2+12[/tex]

And it is being divided by:

[tex](x+1)[/tex]

We can rewrite our factor as:

[tex](x-(-1))[/tex]

Therefore:

[tex]a=-1[/tex]

Then our remainder will be:

[tex]f(-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(-1)&=3(-1)^{15}-5(-1)^{12}+7(-1)^6-3(-1)^2+12\\&=-3-5+7-3+12\\&=8 \end{aligned}[/tex]

So, our remainder will be 8.  

Answer:

8^4 8 to the fourth power

Step-by-step explanation:

Answer:

8 * y^4

Step-by-step explanation:

There are not like terms so you can't combine

y^4 = because there are 4 sets of y's

Answer:

What do you need help with from it?

Answer: D

Step-by-step explanation:

Remember the formula -

[tex]A = \pi[/tex] × [tex]r^{2}[/tex]

π = 3.14

[tex]r^{2}[/tex] = 7

7² = 49

3.14 x 49 = 153.94

A = π · r² = π · 72 ≈ 153.93804

153.93804 ⇒ 154 (rounded)

Your answer is D.

Answer:

tan (46°) = 17/x

Step-by-step explanation:

tan (46°) = 17/x

Answer:

tan(46) = 17/x

Step-by-step explanation:

The tangent of an angle is opposite over adjacent, so the tangent of 46 is 17/x, not x/17. Also, sin(46) = opposite/hypotenuse and cos(46) = adjacent/hypotenuse, but we aren’t given the hypotenuse. Therefore, the answer has to be tan(46) = 17/x.

Answer:

7

Step-by-step explanation:

Just add them together...

Answer:

2.25

Step-by-step explanation:

8.5-6.25

(8-6)+(0.5-0.25)

2+0.25

2.25

Answer:

2.25 or 9/4 is the answer

Hope this helps

Answer:

Monthly service fee is like the fixed cost which is basically the y-value where graph crosses the y-axis.

From graph we see that graph crosses at 1 on y-axis so monthly service fee according to sample graph = $1

Now the per check fee works like slope of the line.

To find the slope we need two points so find any two points on the graph of line. I'm using points (1,0) and (4,3)

now slope can be found using formula

Hence per check fee will be $0.5 as per attached sample graph.

You can use same technique for the original graph given with this question.

Step-by-step explanation:

Answer:

A monthly service fee of 0.50 and a per-check fee of 0.50

Step-by-step explanation:

Answer:

2.75 ft

Step-by-step explanation:

Answer:

2.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think you are correct. The bottom of the drawing has to have a width or someway of finding it. Also the breakup of the height needs some sort of clue where that breakup occurs.  I think you likely have to ask your instructor.

The required, x=-2 is the input value that produces the same output value for the two functions on the graph. Option B is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

The statement "x = -2 input value produces the same output value for the two functions on the graph" means that if you plug in x = -2 into both functions, you will get the same output value for both of them. In other words, the two functions intersect at the point (-2, y), where y is the common output value for x = -2.

The graph of the two functions intersecting at the point (-2, 1), where the x-coordinate is -2 and the y-coordinate is the common output value for both functions. This means that if you draw a vertical line at x = -2, it will intersect the graph at the point (-2, 1) for both functions. Therefore, x = -2 is a vertical line of symmetry for the two functions at the point (-2, 1).

Learn more about simultaneous equations here:

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Answer:

domain = x value

range = y value

Step-by-step explanation:

domain = x value

range = y value

Answer:

457.8

Step-by-step explanation:

Answer:

361,240,062 X 201= [72609252462]

Step-by-step explanation:

The product of the matrices is given below.

[tex]\begin{bmatrix}6 & 0 & 3\\4 &0 & 2\\0&0&0\end{bmatrix}[/tex]

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]\rm a_{ij}[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrices are given below.

[tex]\begin{bmatrix}3 & 6 & 1\\ 2 & 4 & 0\\ 0 & 6 & 2\end{bmatrix} \text{and} \begin{bmatrix}2 & 0 & 1\\ \end{bmatrix}[/tex]

The product of the matrices will be

[tex]\begin{bmatrix}3 & 6 & 1\\ 2 & 4 & 0\\ 0 & 6 & 2\end{bmatrix} \times \begin{bmatrix}2 & 0 & 1\\ \end{bmatrix} = \begin{bmatrix}6 & 0 & 3\\4 &0 & 2\\0&0&0\end{bmatrix}[/tex]

Thus, the product of the matrices is given below.

[tex]\begin{bmatrix}6 & 0 & 3\\4 &0 & 2\\0&0&0\end{bmatrix}[/tex]

More about the matrix link is given below.

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The statement about the correlation coefficient of the exponential and logarithmic model is true

The correlation coefficient, r² is given as:

r² = 0.668

An exponential model and a logarithm model are inverse functions.

This means that, their correlation coefficients are also inverse

Given that the correlation coefficient, r² of the exponential data is 0.668.

And the highest value of the correlation coefficient is 1.

This means that the correlation coefficient, r² of the logarithmic data would be less than 0.668

Hence, the given statement is true.

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Answer:

true

Step-by-step explanation:

Answer:

a+(−4)=−13

a - 4 = - 13

a = -13 + 4

a = -9

hope it helps!

Answer: The value of a is -9.

Step-by-step explanation;

Step 1. Negative times positive is negative. a - 4 = -13.

Step 2. Add four to both sides. a - 4 + a = -13 + 4.

Step 3. Simplify. a = -9.

The solution is 40% acetic acid.

Multiply the amount of the solution by 40%:

15 liters x 0.40 = 6 liters

There is 6 liters of acetic acid

Answer:

18+68(25-18)=18+68(7)

=18+476

=494

Answer:

244,160

Step-by-step explanation:

Answer:

im sorry for doing this but i really need points

Step-by-step explanation:

Answer:

Slope:  2

Step-by-step explanation:

Answer:

x=y/2

Step-by-step explanation:

you divide 2 from both sides then you get y/2

Answer:

Step-by-step explanation:

the answer is c

Answer:

is there answer choices? if not im just guessing so dont take my word for it but i would say 8.5 servings.

Answer:

c

Step-by-step explanation:

i used a calculator (they never lie)

Answer:

22

Step-by-step explanation:

60+6x-12= 180

6x = 180 -48

x= 132/6= 22