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2 years ago

Preform the indicated operation. (w^3+64) divided (4+w)

Mathematics

1 answer:

KIM [24]2 years ago

4 0

Answer:

$\bold{w^2-4w+16}$

Step-by-step explanation:

Rewrite Equation

$\bold{\frac{w^3+64}{4+w}}$

Factor $\bold{w^3+64}$

$\bold{\left(w+4\right)\left(w^2-4w+16\right)}$

Rewrite Equation

$\bold{\frac{\left(w+4\right)\left(w^2-4w+16\right)}{4+w}}$

Cancel The Common Factor: $\bold{w+4}$

$\bold{w^2-4w+16}$

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Explain why each table determine if y is proportional to x .

lesya692 [45]

Answer:

see explanation

Step-by-step explanation:

If y is proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k divide both sides by x

k = $\frac{y}{x}$

This value must be constant for all ordered pairs, thus

k = $\frac{4}{6}$ = $\frac{2}{3}$

k = $\frac{6}{9}$ = $\frac{2}{3}$

k = $\frac{8}{12}$ = $\frac{2}{3}$

k = $\frac{2}{3}$

Since k is constant for all ordered pairs then y is proportional to x

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3 years ago

Is a function or not

Anna71 [15]

Answer:

that is indeed a function

Step-by-step explanation:

6 0

2 years ago

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Claire is attending a university where tuition for one year costs $18,500. She has a scholarship worth $3,500 per year. She earn

ludmilkaskok [199]

B. 57,800

14,300+14,400+14,500+14,600=$57800

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3 years ago

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g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav

dusya [7]

Answer:

$E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%$

Now we can find the second central moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965$

And the variance is given by:

$Var(X) = E(X^2) - [E(X)]^2$

And replacing we got:

$Var(X) = 413.5965 -(11.759)^2 =275.5105$

And finally the deviation would be:

$Sd(X) = \sqrt{275.5105}= 16.599 \%$

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

$X_1 = 23.4 , P(X_1) =0.67$ represent the result if the economy improves

$X_2 = -11.9 , P(X_1) =0.33$ represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing the data given we got:

$E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%$

Now we can find the second central moment with this formula:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965$

And the variance is given by:

$Var(X) = E(X^2) - [E(X)]^2$

And replacing we got:

$Var(X) = 413.5965 -(11.759)^2 =275.5105$

And finally the deviation would be:

$Sd(X) = \sqrt{275.5105}= 16.599 \%$

7 0

2 years ago

How much can 4 go into 30

Mnenie [13.5K]

Answer:

7.5

Step-by-step explanation:

1) You can start off by dividing 30 by 4

30/4

2) You should get 7.5

4 0

3 years ago

Read 2 more answers