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3 years ago

You panit 1/3 of a wall in 1/4 hour at that rate how long will it take you to paint one wall

1 answer:

7 0

1/3 + 1/3 + 1/3 =
1/4 + 1/4 + 1/4 =
3/4 of an hour or 45 minutes

Answer= it will take you 45 minutes or 3/4 of an hour to paint one wall

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Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

seropon [69]

Answer:

$h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

Step-by-step explanation:

1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration

$g(x)=\int_{a}^{x}f(t)dt \:\:a\leqslant x\leqslant b$

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

$h(x)=\int_{a}^{x^{2}}\sqrt{5+r^{3}}\therefore h'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left (\int_{a}^{x^{2}}\sqrt{5+r^{3}}\right )\\h'(x)=\sqrt{5+r^{3}}\\Chain\:Rule:\\F'(x)=f'(g(x))*g'(x)\\h'=\sqrt{5+r^{3}}\Rightarrow h'(x)=\frac{1}{2}*(r^{3}+5)^{-\frac{1}{2}}*(3r^{2}+0)\Rightarrow h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

3) To test it, just integrate:

$\int \frac{3r^{2}}{2\sqrt{r^3+5}}dr=\sqrt{r^{3}+5}+C$

5 0

2 years ago

What is the value of g(3) when g(2) = 21–2?

Evgen [1.6K]

Answer:

g(3)=31.5-3

Step-by-step explanation:

first you want to find g(1) or g(x). all you have to do for this is divide every number by two, since 2/2 is 1.

g(1)=10.5-1

now to find g(30 you just multiply it all by 3.

g(3)=(10.5-1)*3

g(3)=31.5-3.

5 0

3 years ago

The light bulbs you use are on sale. But you only get the lower price if you buy 3 packages of bulbs. You want to know how much

weeeeeb [17]

Let’s let s = sale price per package
r = =regular price per package
c = cost savings.
Answer: c= 3r – 3s

8 0

3 years ago

the angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles

kvv77 [185]

Answer:

x =17.6

The three angles are

6x = 105.6

x-3 =14.6

3x+7 = 59.8

Step-by-step explanation:

The three angles of a triangle add to 180 degrees

6x + x-3 + 3x+7 = 180

Combine like terms

10x +4 = 180

Subtract 4 from each side

10x+4-4= 180-4

10x = 176

Divide each side by 10

10x/10 =176/10

x =17.6

The three angles are

6x = 6*17.6= 105.6

x-3 = 17.6-3 =14.6

and 3x+7 = 3(17.6)+7 =52.8+7 = 59.8

8 0

3 years ago

What is not a function?

RoseWind [281]

Answer:

a nonfiction is when you touch both sides of the line doing a line test with a pencil. of it touches the line twice it's not a function but if it touches once it is.

8 0

3 years ago