How many gallons of water are in the tank when the pumps were turned on

Answers

Answer 1
Answer: If the question is asking how much water was in the tank the instant that the water was turned on, that means that it is asking how much water was in the tank when t=0
To solve this we simply plug in t=0 into out equation
V(0)=65(0)+280=280 gallons of water.

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A local cinema found that if the price of admission was $17the attendance was about 1900 customers per weekWhen the price of admission was dropped to $9. Attendance increased to about 3050 per week. Write a equation for the attendance in terms of the price. P i (A=mp+b )

Answers

Answer:

f(A)= -143.75p + 4343.75

Step-by-step explanation:

Let price be x, and attendance, y

According to the given data,

admission was $17 the attendance was about 1900 customers

admission was $9 the attendance was about 3050 customers

Therefore, the points in terms of e and y coordinates would be , (17, 1900) --> (x1,y1)

 & (9, 3050)---->(x2,y2)

Next is to calculate slope of linear equation i.e

m= (y2-y1)/(x2-x1)

m=(3050-1900)/(9-17)

m= -143.75

Now in order to find the equation, we use point-slope

y-y1= m (x-x1)

considering the coordinates (17, 1900) and slope -143.75

Equation becomes

y-1900 = -143.75( x- 17)

y-1900= -143.75x + 2443.75

y= -143.75x + 4343.75

or can be written as,

f(A)= -143.75p + 4343.75

Answer:

Step-by-step explanation:

From the question, A local cinema found that if the price of admission was $17the attendance was about 1900 customers per weekWhen the price of admission was dropped to $9. Attendance increased to about 3050 per week. Write a equation for the attendance in terms of the price. P i (A=mp+b )

Let price be a,and attendance, b

Attendance: 1,900 customers, when PRICE = $17

Attendance: 3,050 customers, when PRICE = $9

We then get the points,

(17, 1,900) & (9, 3,050)

Slope of linear equation,

(17,1900) (9, 3050)

find the slope m

(3050-1900)/(9 - 17)

1150/-8

-143.75=m

A=mp+b

A=-143.75p+b

using Attendance as a function of ticket price.

A(p) = mp + b

We have two points (p, A): (17, 1900), (9, 3050)

Slope: m = (2800-1500)/(7-17) = 1300/-10 = -130

A = -130p + b

Using (17, 1900) as (p, A) find b

1900 = -143.75(17) + b

1900 = -2443.75 + b

4343.75 = b

A = -143.75p + 4343.75

What is the intersection of plane TUYX and plane VUYZ? (Image below. Multiple Choice)

Answers

Answer:

B) UY

Step-by-step explanation:

From the given figure, TUYX is one of the side of the rectangular prism and UVYZ  is another side of the rectangular prism.

The both sides are intersecting perpendicular in one edge, that is the line segment UY.

You can see it on the figure.

Therefore, the intersecting line is UY.

Answer: B) UY

Step-by-step explanation:

Prove that the value of the expression
(3^5-3^4)(3^3+3^2) is divisible by 24

Answers

Answer:

243

Step-by-step explanation:

(3^5 – 3^4) (3^3 + 3^2)

= (243 – 81) (27 + 9)

= (162) (36)

= 5832

24 = 8*3

because 832 can be divided by 8 and 5+8+3+2 = 18 is divisible by 3,

5832 is divisible by 24

X = -3 + 5y - 6 for y

Answers

Answer:

y = 1/5x + 9/5.

Step-by-step explanation:

x = -3 + 5y - 6

5y - 3 - 6 = x

5y - 9  = x

5y = x + 9

y = 1/5x + 9/5.

Hope this helps!

Look at screenshot for question and answer choices

Answers

132 cm is your answer

Evaluate the expression for the value of x=-3. (If not possible, state the reason)
2x-2

Answers

2x-2 x=–3
so,
2(–3)-2
-6-2 =
-8