Ask question

Ask question

All categories

8_murik_8 [283]

2 years ago

7

A babysitter earns the same amount per hour. She earned $36 for 3 hours of babysitting. Which equation describes the relationshi

p between x, the number of hours spent babysitting, and y, the total amount
in dollars earned?

1 answer:

Brilliant_brown [7]2 years ago

6 0

Answer:

y= 12x

Step-by-step explanation:

36/3=12

12× x =y

________________________

You might be interested in

What is the length of bc?

weeeeeb [17]

Pythagoraean theorem.
17^2=8^2+b^2
289=64+b^2
225=b^2
Sqrt(225)=b
B=15

8 0

2 years ago

Find the second derivative at the point (1,2), given the function below. y^2-2=2x^3

vagabundo [1.1K]

Solution:

Given:

$y^2-2=2x^3$

Lets First Differentiate the given equation with respect to x

$\frac{d}{dx} ( y^2 - 2 ) = \frac{d}{dx} 2x^3$

$2y \cdot \frac{dy}{dx} - 0 = 6x^2$

$\frac{dy}{dx} = \frac{6x^2}{2y}$

$\frac{dy}{dx} = \frac{3x^2}{y}$ -----------------------(1)

this can be rewritten as

$\frac{dy}{dx} =3x^2y^{-1}$

Now differentiating again with respect to x

$\frac{d^2y}{dx^2} =6x^2y^{-1} + 3x^2 \cdot (-y^{-2}) \cdot \frac{dx}{dy}$

Now substituting (1) we get

$\frac{d^2y}{dx^2} =6x^2y^{-1} + 3x^2 \cdot (-y^{-2}) \cdot \frac{3x^2}{y}$

$\frac{d^2y}{dx^2} = \frac{6x^2}{y} + ( \frac{3x^2}{y^2}) \cdot \frac{3x^2}{y}$

$\frac{d^2y}{dx^2} = \frac{6x^2}{y} + ( \frac{9x^4}{y^3})$

At(1,2) $\frac{d^2y}{dx^2} = \frac{6(1)^2}{2} + ( \frac{9(1)^4}{(2)^3})$

$\frac{d^2y}{dx^2} = \frac{6}{2} + ( \frac{9}{8})$

$\frac{d^2y}{dx^2} = 3 + 1.125$

$\frac{d^2y}{dx^2} = 4.125$

5 0

3 years ago

Find the slope of the line. (0, 0) and (1/3, 7/3)

Alla [95]

Answer:

slope is y=7x

Step-by-step explanation:

0-1/3 over 0-7/3

4 0

2 years ago

Read 2 more answers

Write these numbers in order from least to greatest <br> 0.65, 2/3, 3/5 , 0.5

svp [43]

Answer:

<h2>0.5, 3/5, 0.65, 2/3</h2>

Step-by-step explanation:

Convert the fractions to the decimals (you can use the calculator):

2/3 = 2 : 3 = 0.6666...

3/5 = 3 : 5 = 0/6

We have

0.65

0.666...

0.6

0.5

The order from least to greatest:

0.5

0.6

0.65

0.666..

$\begin{array}{c|c|c|c|c}0&.&5\\0&.&6\\0&.&6&5\\0&.&6&6&6...\end{array}$

8 0

2 years ago

!!!!________________

pychu [463]

Answer:

B

Step-by-step explanation:

The answer is B as it is the only one in which the shape at the bottom remains the cross section shape for the object. For example in a sphere the cross section near the bottom wouldn't be the same as the one at the middle. The only shape that does have the same cross section all the time is the cuboid so it is the answer

5 0

2 years ago

Read 2 more answers