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3 years ago

5

A light bulb consumes

2 answers:

soldier1979 [14.2K]3 years ago

7 0

To determine how long it takes to consume, simply take 15,300 watt hours and divide it by the initial rate of 3600 watt hours per day.

Luba_88 [7]3 years ago

3 0

The equation you'd use to figure this out is 3600x=15,300.
"x" represents how many days it'd take. So, just solve for x.

3,600x = 15,300
Divide both sides by 3,600 to get x =4.25

The answer is that it'd take 4.25 days to consume 15,300 watt-hours.

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Find the integral, using techniques from this or the previous chapter.<br> ∫x(8-x)3/2 dx

Soloha48 [4]

Answer:

$\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C$

Step-by-step explanation:

For this case we need to find the following integral:

$\int x(8-x)^{3/2}dx$

And for this case we can use the substitution $u = 8-x$ from here we see that $du = -dx$ , and if we solve for x we got $x = 8-u$ , so then we can rewrite the integral like this:

$\int x(8-x)^{3/2}dx= \int (8-u) u^{3/2} (-du)$

And if we distribute the exponents we have this:

$\int x(8-x)^{3/2}dx= - \int 8 u^{3/2} + \int u^{5/2} du$

Now we can do the integrals one by one:

$\int x(8-x)^{3/2}dx= -8 \frac{u^{5/2}}{\frac{5}{2}} + \frac{u^{7/2}}{\frac{7}{2}} +C$

And reordering the terms we have"

$\int x(8-x)^{3/2}dx= -\frac{16}{5} u^{\frac{5}{2}} +\frac{2}{7} u^{\frac{7}{2}} +C$

And rewriting in terms of x we got:

$\int x(8-x)^{3/2}dx= -\frac{16}{5} (8-x)^{\frac{5}{2}} +\frac{2}{7} (8-x)^{\frac{7}{2}} +C$

And that would be our final answer.

8 0

3 years ago

What does the line x=-5 look like

Slav-nsk [51]

A vertical line that passes through (-5,0)

6 0

3 years ago

Read 2 more answers

Eight people go to a movie. Adult tickets cost $15 and children's tickets cost $8

Reptile [31]

Answer: number of adults = 3, number of children = 5

Step-by-step explanation:

let the number of adults be x, and the number of children be y.

x + y = 8 , 15x + 8y = 85

1st equation x 8 = 8x + 8y = 64

$8x+8y-15x-8y = 64 - 85\\-7x = -21\\x=3$

substitute x=3

$3+y=8\\y=5$

5 0

2 years ago

jack predicted his car payment to be $300 each month. His actual car payment is $275 each month.what % was his prediction off

r-ruslan [8.4K]

Answer:

.91% he wa off by .91% because .91 of 300 is 25 and 300- 25 is 275

Step-by-step explanation:

4 0

2 years ago

Another Quick Question, True or false: The Intersection of two rays creates two pairs of vertical angles and four pairs of suppl

andrey2020 [161]

Answer:

True

Step-by-step explanation:

3 0

2 years ago