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lyudmila [28]
3 years ago
5

6 gallons/minute is equal to how many qt an hour show work

Mathematics
1 answer:
amm18123 years ago
7 0
6x60=360. 4 quarts is equal to 1 gallon so multiply 360 by 4 and you’d get 1440. So the answer should be 1440.
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Simplify the expression.<br> (the quantity x to the one-sixth power end quantity to the power of 3.)
Usimov [2.4K]

Answer:

\sqrt{x}

Step-by-step explanation:

If we have that worded expression, we can convert it into actual mathematical terms.

x to the one sixth power: x^{\frac{1}{6}}

That to the power of 3:

(x^{\frac{1}{6}})^3

Using exponent rules, since we have a power to a power, the powers multiply, so:

x^{\frac{1}{6}\cdot 3}\\\\x^{\frac{3}{6}}\\\\ x^{\frac{1}{2}}

If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.

So:

x^{\frac{1}{2}} = \sqrt{x}

Hope this helped!

8 0
2 years ago
Read 2 more answers
Jack's school is selling tickets to a spring musical. On the first day of ticket sales the school sold
Tju [1.3M]
Solutions are here.

5 0
2 years ago
Plssssssssssssssssss answer corectly
Free_Kalibri [48]

Answer:

1.equilateral

2.isosceles

3.isosceles

4.isosceles and right

5.scalene

6.scalene and right

7.isosceles and right

8.isosceles

9.equilateral

7 0
2 years ago
Classify each pair of angles as Complementary, Supplementary or neither.
stellarik [79]

Answer:


Step-by-step explanation:

1. Supplementary

2. complementary

3. neither

4. These two are vertically opposite so neither.

5. Supplementary

6. They add to 90 so they are complementary

7. They add to 180 so they are supplementary.

8. These 2 are equal and vertically opposite. They are neither for this exercise.

9. Complementary: they add to 90.

8 0
3 years ago
NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi
natali 33 [55]

Answer:

a.  \frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100

b. \frac{dR(q)}{dq}=-0.01q+200

c.

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

 

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100

b) The income function is given by the relation R (q) = P (q) q = -0.005q^2 + 200q.

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

\frac{dR(q)}{dq}= -0.01q+200

 

(c) The profit function of the company is given by the relation U (q) = R (q) - C (q), and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100

When q = 2000, the marginal utility is:

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

When q = 7000, the marginal utility is:

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

6 0
3 years ago
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