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nexus9112 [7]
3 years ago
12

A square with side x, is changing with time where x(t)=3t+1. What is the formula for the rate of change of the area of the squar

e
Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

  A' = 6(3t +1)

Step-by-step explanation:

The area is the square of the side length, so ...

  A = (3t +1)²

The derivative with respect to t is then

  A' = 2(3t +1)·(3) = 6(3t +1)

If you like, you can multiply out the area expression first, then differentiate.

  A = 9t² +6t +1

  A' = 18t +6

This can be factored, if you like, to ...

  A' = 6(3t +1)

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Charra [1.4K]

Answer:

$6.4

Step-by-step explanation:

You just do 32 × .2 to give you the discount of 6.4

You multiple by .2 because 20% as a decimal is .2 ( you do 20% divided by 100 to give you .2)

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3 years ago
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6, 3, 4, 7, 3, 7, 8, 5, 7 i. Find the median ii. Find the mean iii. Find the modal mark
4vir4ik [10]

Answer:

i. 6

ii. 5\frac{5}{9}

iii. 7

Step-by-step explanation:

First organize the data from least to greatest.  3,3,4,5,6,7,7,7,8

To find the median, remove the extremes from the data over and over.

3,4,5,6,7,7,7

4,5,6,7,7

5,6,7

6

To find the mean, add all of the numbers and divide by 9

3+3+4+5+6+7+7+7+8=50

50/9=5\frac{5}{9}

To find the modal mark, simply find the number present most in the data set: 7(occurs 3 times)

Hope it helps <3

3 0
3 years ago
Which is greater? 0.006 or 0.1
frez [133]

Answer:

0.1

Step-by-step explanation:

In a problem like this the number that is more to the left is greater. As you can see 0.1 is more to the left

5 0
3 years ago
This graph shows a proportional relationship.<br> What is the constant of proportionality?
krek1111 [17]

hookes law gives the equation F=kx where F is the elastic force and k is the constant and x or small e is extension if we draw a graph you'll see that the graph increases by the same ratio every single time hence giving a straight line show that they are F and x are propotional to a certain limit

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2 years ago
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Consider the following system of equations:
Delicious77 [7]

Answer:

The system has infinitely solutions

Step-by-step explanation:

we have

-\frac{1}{3}x^{2}=-\frac{5}{6}+\frac{1}{3}y^{2}

\frac{1}{3}x^{2}+\frac{1}{3}y^{2}=\frac{5}{6}

Multiply by 3 both sides

x^{2}+y^{2}=\frac{5}{2} ----> equation A

The equation A is a circle centered at origin with radius r=\sqrt{5/2}\ units

and

5y^{2} =\frac{25}{2}-5x^{2}

5x^{2}+5y^{2} =\frac{25}{2}

Divide by 5 both sides

x^{2}+y^{2} =\frac{5}{2} ----> equation B

The equation B is a circle centered at origin with radius r=\sqrt{5/2}\ units

Equation A and Equation B are the same

Therefore

The system has infinitely solutions

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3 years ago
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