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3 years ago

11

Nicholas is buying shirts for his baseball team. He will pay $8.75 for each shirt plus a one-time fee of $25 for the design. Wri

te an equation that can be used to find y, the total cost to buy x shirts.

1 answer:

Margaret [11]3 years ago

3 0

Answer:

Y = 8.75x + 25

Step-by-step explanation:

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A triangle with side lengths of 5, 5, and 8 is:

Volgvan

Your answer is c, an obtuse triangle because if the two side lengths are the same length along with a longer side, it become obtuse
let me know if you have any other questions
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6 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago

When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.

Scorpion4ik [409]

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

4 0

2 years ago

Read 2 more answers

PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.

MakcuM [25]

Answer:

Step-by-step explanation:

A, C, E look good

4 0

3 years ago

Which of the triangles below is not a right triangle?

Nataly [62]

Answer:

$B)\ 6ft,8ft,12ft$

Step-by-step explanation:

Pythagorean Theorem : In a right triangle, square of hypotenuse is equal to the sum of the squares of the other sides.

$(A)\ 3cm,4cm,5cm\\5^2=25\\3^2+4^2=9+16=25\\5^2=3^2+4^2$

Hence these sides represent a right triangle.

$(B)\6ft.8ft,12ft\\12^2=144\\6^2+8^2=36+64=100\\12^2\not=6^2+8^2$

Hence this does not represent a right triangle.

$(C)\27cm,36cm,45cm\\45^2=2025\\27^2+36^2=729+1296=2025\\45^2=27^2+36^2$

This represents a right triangle.

8 0

3 years ago