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Kipish [7]
3 years ago
5

If the minute hand moves 30 degrees how much time has moved

Mathematics
1 answer:
Levart [38]3 years ago
4 0
Has moved 30 minutes

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A robotic machine fills containers with an acid solution at the rate of 50 + 5 t milliliters (mL) per second, where t is in seco
Alika [10]

Answer:

12,000

Step-by-step explanation:

The machine fills the containers at a rate of 50+5t milliliters (mL) per second.

Therefore, the rate of change of the number of containers, N is:

\dfrac{dN}{dt}=50+5t, 0\leq t\leq 60

dN=(50+5t)dt\\$Taking integrals of both sides\\\int dN=\int (50+5t)dt\\N(t)=50t+\frac{5t^2}{2}+C $(C a constant of integration)\\\\When t=0, , No containers are filled, therefore:$ N(t)=0\\0=50(0)+\frac{5(0)^2}{2}+C\\C=0\\$Therefore, N(t)=50t+2.5t^2

When t=60 seconds

N(60)=50(60)+2.5(60)^2\\N(60)=12000$ mL

Therefore, 12,000 milliliters of acid solution are put into a container in 60 seconds.

7 0
3 years ago
How do you solve this equation? <br>2x+8-22= -2
Schach [20]

Answer:

x=6

Step-by-step explanation:

First you have to subtract 8 from 22 and you get -14. Then you rewrite the equation, 2x-14=-2.

Since your subtracting 14 you would add 14 to both sides, so -14+14 and -2+14. -2+14 will turn out to be 12 and then you divide 2 from both sides, so 2x-2 and 12-2.

Your answer will be x=6

4 0
3 years ago
Read 2 more answers
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raketka [301]

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5 0
3 years ago
What is the range of the set {13,5,8,9,15,9}?
erastova [34]
Range=highest number-lowest number

15-5=10
Range=10
8 0
3 years ago
A circle has a circumference of 37 millimeters. What is the circle's
olasank [31]

Answer:

5.9

Step-by-step explanation:

To find radius from circumference you need to divide it by pie. So 37 divided by 3.14 is 11.7834394904. This is the diameter. Now divide it by 2, in this case it is 5.89171974522. When you round to the nearest tenth it gives you 5.9. Hope this Helps!

8 0
3 years ago
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