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faust18 [17]
3 years ago
10

A water tank is being filled by pumps at a constant rate. The volume of water in the tank V, in gallons, is given by the equatio

n: V(t) = 65t+280 ,where t is the time, in minutes the pump has been on. At what rate, in gallons per minute, is the water being pumped into the tank?
Mathematics
1 answer:
mamaluj [8]3 years ago
7 0

Answer:

65 gallons per minute

Step-by-step explanation:

The total volume of the tank at any given time is given by the equation:

V(t) = 65t + 280

In order to find the rate of change of volume, we can simply differentiate this equation with respect to time. This will give us the rate of change of the volume or the rate at which water is being pumped into the tank.

Differentiating the above equation we get:

V'(t) = 65

So we can see that the rate at which water is being pumped into the tank is 65 gallons per minute

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3 years ago
Vanessa earns a base salary of $400.00 every week with an additional %5, percent commission on everything she sells. Vanessa sol
Leona [35]
$482.5 is the FINAL ANSWER

To find commission:
We can use the base of 100% being 1650
We can use 5% because thats her commission
Use: 100(x)=1650(5) -> 100(x)=8250 after doing math, youll get the outcome of 82.5 commission

To find the total:
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5 0
3 years ago
Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x
satela [25.4K]

Answer:

<em>options:  A,C,E </em>are correct.

Step-by-step explanation:

We have to find the expression equivalent to the expression:

\dfrac{21^x}{3^x}

we know that: 21^x=(3\times7)^x\\\\21^x=3^x\times7^x

Hence,

\dfrac{21^x}{3^x}=\dfrac{3^x\times7^x}{3^x}=7^x-----(1)

A)   (\dfrac{21}{3})^x= 7^x  (same as(1))

Hence, option A is correct.

B)  7 ; which is a different expression from (1)

Option B is incorrect.

C) 7^x   (Same as (1))

Option C is correct.

D) (21-3)^x=18^x   which is a different expression from (1)

Hence, option D is incorrect.

E) \dfrac{7^x\times3^x}{3^x}=7^x   ; which is same as (1)

Hence, Option E is correct.

F) 3^x  ; which is not same as expression (1)

Hence, option F is incorrect.

5 0
3 years ago
Read 2 more answers
An ounce of almonds costs $1.40. If Joey buys 2.4 ounces of almonds, how much will he have to pay?
Daniel [21]

Answer:

Joey will pay $3.36 for 2.4 ounces of almonds.

Step-by-step explanation:

Given that:

Cost of almonds = $1.40 per ounces

Number of ounces bought by Joey = 2.4 ounces

Cost of 2.4 ounces = Ounces of almond * Cost per ounce of almond

Cost of 2.4 ounces = 2.4 * 1.40

Cost of 2.4 ounces = $3.36

Hence,

Joey will pay $3.36 for 2.4 ounces of almonds.

4 0
3 years ago
Amanda is selling candy for a fundraiser at school. She has already sold $33.00 worth and needs to make a total of $75.00 to get
Triss [41]

Answer:

D

Step-by-step explanation:

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