Find and interpret the slope. The number of cubic feet of watery In a reservoir x hours after the water starts flowing into the reservoir Is a linear function. The points (40,2,000) and (60, 3,000) are on the line of the function. The slope ls which means that the amount of water in the reservoir is increasing at a rate of cubic feet each hour.​

Answer: 4a-12

Step-by-step explanation: Distribute 4 to a and -3

Answer:

A is the answer.

Step-by-step explanation:

Slope is (2-8)/(7-3) = -3/2.

Using point-slope formula you have two possibilities:

y-8= -3/2(x-3)  [choice A] or y-2 = -3/2(x-7) [not a choice)

The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

To learn more about cylinder click :

https://brainly.com/question/16134180

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Answer:

120

Step-by-step explanation:

Due to an hour equaling 60 minutes, two hours would equal 120.

9514 1404 393

Answer:

  31

Step-by-step explanation:

The fractional part of the given number is 0.4829, which is less than 0.5. That means the nearest integer is the integer below the given number:

  31

Answer:

x would be 10

Step-by-step explanation:

angles across from each other are always equal so x would be 10 because 3 times 10 is 30 and then add the other 10 to get 40

Answer:

x = 10

Step-by-step explanation:

Since these angles are vertical angles, we know that 40 = 3x + 10. Subtract 10 from both sides to get 30 = 3x. Divide both sides by 3 to get x = 10.

Answer:B.

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT

Answer:

A and D

because those are the correct ones :)

Answer:

D. If any vertical line can intersect the graph at more than one point, the graph does not represent a function.

Explanation:

I took the quiz and got it right.

Hope this Helps!

Answer:

n=-2

Step-by-step explanation:

22=-11n

u divide it and u get

n=-2

and ofc u keep the negative because ur dividing

Answer:

If you are asking for the value of n, then n= -2

Step-by-step explanation:

22 = -11n

22/-11 = -11n/-11

-2 = n

Answer:   x = -3 + √3     or     x = -3 - √3

Step-by-step explanation:

X²+6x+6

now breaking 6x into 2x and 3x we get ,

X²+3x+2x+6

taking x common and 2 common we get ,

x(x+3)+2(x+3)

taking (x+3) common

(x+3) (x+2)

so comparing with zero to get values of x ,

either

x+3=0

x=-3

or x+2=0

x=-2

The two numbers are: 21 and 11

Step-by-step explanation:

Let x and y be the two numbers.

x+y = 32

x-y = 10 Rewrite this as x = y+10 and substitute for x in the first equation.

(y+10) + y = 32 Simplify and solve for y.

2y+10 = 32 Subtract 10 from both sides.

2y = 22 Divide both sides by 2.

y = 11

x = y+10

x = 11+10

x = 21

Answer:

y = 11

Step-by-step explanation:

x + y = 32

10 + y + y = 32

10 + 2y = 32

2y = 22

y = 11

I think this is it plz don't get mad if it is wrong

Answer:

4/1

Step-by-step explanation:

Hope this help :P

Answer:

6a+4b-14

Step-by-step explanation:

this is the answer

Answer:

[tex]q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]

(B) Distinct parallel lines

Answer:

  B.  Distinct parallel lines

Step-by-step explanation:

These two equations have the same slope 4/3 which means they are parallel.

y = mx + b

m is slope

b is y-intercept

[tex]y = \frac{4}{3} x + \frac{5}{3}[/tex]

[tex]y - 8 = \frac{4}{3} (x + 6)[/tex]

     [tex]y = \frac{4}{3} x + 16[/tex]

Answer 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The equation would be 130% x N = 20.8

To solve you would have to switch the equation around and to do that you would divide. 130% is the same as 1.30 or 1.3

20.8 ÷ 1.3 = 16

N = 16

Hope that helps and have a great day!

Answer:

x = -3 (yes that's negative 3)

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

[tex] \sf \: x = - 3[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -6 + x + 4 = -5

Then the value of x will be,

→ -6 + x + 4 = -5

→ x + (-6 + 4) = -5

→ x + (-2) = -5

→ x - 2 = -5

→ x = -5 + 2

→ [ x = -3 ]

Hence, the value of x is -3.

Answer:

90km/h

Step-by-step explanation:

The average speed is the total distance travelled/the time taken to do so. Being a distance-time graph, it shows that the car travelled 60km away from the starting point, stayed for a bit and then drove back. This gives a total distance of 120km. It also says that they started at 7:00am and finished at 8:20am which is 1 and 1/3 hours or 1.33 hours (1 hour 20minutes).

120/1.333...=90

Their average speed for the entire journey was 90km/h.

Hope this helped!

Answer:

6.532 x 10^-9

Step-by-step:

1. 0.000000006532

2. move the decimal to where the first number is greater than or equal to 1 and less than 10. In this case we move the decimal to the right 9 times. You will get 6.532

3. We moved the decimal to the right meaning the power to 10 would be a negative number. The number is how many times we moved the decimal by 1 spot, in this problem we moved it 9 times. 6.532 x 10^-9 is what you should get for scientific notation

Answer:

hmm..

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]hii[/tex]

have a nice day ✌️

Answer:

the answer is 8^4

Step-by-step explanation:

Answer:

Step-by-step explanation:

8 times 8 times 8 times 8

is multiplied 4 times.

There are 4 eights.

Therefore, it's 8 to the power of 4.

Hope this helps! <3

Answer:

$100

Step-by-step explanation:

20%+30% = 50% off

50/100 = 1/2

200*1/2 = $100

Answer:

13

Step-by-step explanation:

7^13 is 7x7x7x7x7x7x7x7x7x7x7x7x7 (which equals 96,889,010,407) so she should use 13 terms.

Answer:

the way you have the question on here is weird, but I'm pretty sure the answer is 5

Step-by-step explanation:

molecules are groups of bonded atoms, so one molecule of Butane would be C4H10 by itself, but if you have 5 of those, you have 5 molecules.

however, if you're talking about the number of ATOMS in one molecule of Butane, there would be 14 (4 carbon, 10 hydrogen)

Answer:

35 degrees   hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Dilations create similar figures because multiplying by the scale factor creates proportional sides while leaving the angle measure and the shape the same.

Step-by-step explanation:

Answer:

m=6,9g

Step-by-step explanation:

Hope this helps leave a heart c:

Answer:

ll and lll only that is the answer