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3 years ago

7

part of the proceeds from a garage sale was $370 worth of $5 and $20 bills. If there were 4 mote $5 bills and $20 bills, find th

e number of each denomination

1 answer:

Ainat [17]3 years ago

7 0

Answer:

I am confused by this

Step-by-step explanation:

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What is the cube root of 27a^l2?<br>-3a4<br>-3a<br> 3a<br> 3a*

GuDViN [60]

Answer:

$3a^4$

Step-by-step explanation:

What is the cube root of $27a^{12}$ ? This is the question.

We can write:

$\sqrt[3]{27a^{12}}$

We will use the below property to simplify:

$\sqrt[n]{a*b}=\sqrt[n]{a} \sqrt[n]{b}$

So, we have:

$\sqrt[3]{27a^{12}} =\sqrt[3]{27} \sqrt[3]{a^{12}}$

We will now use below property to further simplify:

$\sqrt[n]{x} =x^{\frac{1}{n}}$

Thus, we have:

$\sqrt[3]{27} \sqrt[3]{a^{12}} =3*(a^{12})^{\frac{1}{3}}$

We know power to the power rule: $(a^z)^b=a^{zb}$

Now, we have:

$3*(a^{12})^{\frac{1}{3}}\\=3*a^{\frac{12}{3}}\\=3a^4$

This is the correct answer: $3a^4$

4 0

4 years ago

The formula κ(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a twice-differentiable plane curve as a function of x. Use thi

Katyanochek1 [597]

Answer:

K(x) = $\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }$ ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = $-5x^2$

first Determine the value of F'(x)

F'(x) = $\frac{d(-5x^2)}{dy}$

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = $\frac{d(-10x)}{dy}$

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x) $= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }$

K(x) = $\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }$ ( curvature function)

6 0

4 years ago

Find the slope of the line passing through the points (7, -2) and (3, - 7).

professor190 [17]

Answer:

m = $\frac{5}{4}$

Step-by-step explanation:

To find the slope, we have to use the slope formula:

m = $\frac{y_2 -y_1}{x_2 - x_1}$ .

Let $(x_1,y_1) = (7, -2)$ and $(x_2,y_2) = (3, -7)$ . Then

m = $\frac{(-7)-(-2)}{3-7} = \frac{-5}{-4} = \frac{5}{4}$

3 0

3 years ago

Im really confused can someone help me

Sati [7]

I believe you would create and equation to find x and y.

7 0

3 years ago

Can yu plz answer this inequality 3<1/2x+1

Aleks04 [339]

First you need to change the equation to 3 < x/2 + 1

then we can treat it like a normal equation.

subtract 1 from each side to get 2 < x/2

then multiply both sides by 2 to get rid of the fraction and we have

4 < x and we switch it around to get

x > 4 as our answer! :)

5 0

3 years ago