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3 years ago

Convert 17 over 2 to a decimal using long division. 6.2 8.2 8.5 9.5

Mathematics

1 answer:

KIM [24]3 years ago

7 0

THE ANSWER IS .......................... 8.5!!!!

HOPE I HELPED!!!!!!!!

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A carpenter is building a rectangular room with a fixed perimeter of 440 ft. what are the dimensions of the largest room that ca

olga55 [171]

The biggest it can be is 110 by 110, and the area would be 2,100 ft.

Hope this helps!

4 0

3 years ago

A rectangle has a perimeter of 150 feet and a base of 45 feet. What is the height?

frez [133]

Answer:

Step-by-step explanation:

45+45 = 90

150-90 = 60

60/2 = 30

I think...

8 0

3 years ago

Landon is saving up to buy a new jacket. He already has $70 and can save an additional $7 per week using money from his after sc

Alexeev081 [22]

For this case we have to:

Let "w" be the variable that represents the number of savings weeks.

We have that Landon's initial amount is $ 70.

We want to know how much money you have after 5 weeks, knowing that you save $ 7 each week, so be "y" the amount of money after "W" weeks:

$y = 70 + 7w$

After 5 weeks:

$y = 70 + 7 (5)\\y = 70 + 35\\y = 105\$

Answer $y = 70 + 7w\\y = 105$

4 0

2 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

Solve for the indicated variable.

marta [7]

Answer:

Option (c) " $r=\dfrac{q}{4c}-h$ "

Step-by-step explanation:

The given equation is :

q = c4(h + r)

We need to solve it for r.

Dividing both sides of the given equation by 4c.

$\dfrac{q}{4c}=\dfrac{4c}{4c}(h+r)\\\\(h+r)=\dfrac{q}{4c}$

Now, subtract h both sides of the equation.

$h+r-h=\dfrac{q}{4c}-h\\\\r=\dfrac{q}{4c}-h$

Hence, this is the required solution.

3 0

3 years ago