Find an equation for the line that passes through the points (-3,-6) and (3,3)

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

pochemuha

Answer:

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = $5000(1 - \frac{1}{40}t )^2$ , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = $2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )$

V'(t) = $2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )$

When we simplify the above, we get

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0

3 years ago

Somebody please help

goldfiish [28.3K]

Answer:

1yd

6ft

108in

15yd

7 0

3 years ago

Read 2 more answers

Solve for X. <br><br> <img src="https://tex.z-dn.net/?f=log_%7B8%7D%20x-log_%7B8%7D%20%28-2x%2B4%29%20%3D%20log_%7B8%7D%203" id=

taurus [48]

Answer: $x=\frac{12}{7}$

Step-by-step explanation:

Remember the logarithms properties:

$log(m)-log(n)=log(\frac{m}{n})\\\\b^{log_b(a)}=a$

Then,simplifying:

$log_{8}(\frac{x}{-2x+4}) = log_{8}(3)$

Apply base 8 to boths sides and then solve for "x":

$8^{log_{8}(\frac{x}{-2x+4})}=8^{log_{8}(3)}\\\\\frac{x}{-2x+4}=3\\\\x=3(-2x+4)\\\\x=-6x+12\\x+6x=12\\7x=12\\\\x=\frac{12}{7}$

4 0

3 years ago

Read 2 more answers

True or false: The factor by which a row operation changed the determinant is equal to the determinant of the elementary matrix

Klio2033 [76]

The given statement is false.

What is the effect of a row operation on a determinant?

The factor by which a row operation intends to change the determinant is not equal to the determinant of the elementary matrix corresponding to that row operation. Rather, when a row is scaled up by a factor in a matrix, the determinant of that matrix also scales up by that factor.

Similarly, the factor by which a row operation changes the determinant is equal to the factor times the determinant of the elementary matrix corresponding to that row operation.

Learn more about a matrix here:

brainly.com/question/9967572

#SPJ4

7 0

2 years ago

Bruno solved the following equation: 4x + one half(10x − 4) = 6 Step Work Justification 1 4x + 5x − 2 = 6 2 9x − 2 = 6 3 9x = 8

beks73 [17]

Answer:

Statement Reason

1. $4x+5x-2=6$ 1. Distributive Property