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max2010maxim [7]
3 years ago
8

align="absmiddle" class="latex-formula">
Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0
Sense there's only a y, you'd assume y is 1 or 1y.

you'd make the 1 a negative 1 to get rid of the subtraction sign.

you'd add together the 2 ys making it 2y. then add -1 + 3, which would be 2.

so, the answer would be 2y + 2.
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A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0<=t<=60
Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let c(t) is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt

\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0

\int\limits^{20}_{0} {c'(t)} \, dt =3600+600

\int\limits^{20}_{0} {c'(t)} \, dt =4200

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

5 0
3 years ago
One out of 3 gym members say they spent 5 hours per week at the gym. If there are 150 people working out at the gym, how many wi
lana [24]

Answer: 50

Step-by-step explanation:

From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.

Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:

= 1/3 × 150

= 50 people

8 0
3 years ago
Which of the ordered pairs in the form (x, y) is a solution of this equation?
Tju [1.3M]

Answer:

Both ordered pairs are solutions to this equation.

Step-by-step explanation:

If you plug in the x and y values given in the ordered pair, you make the left side of the equation equal the right for both pairs.

6 0
4 years ago
The volume of this prism is 4375cm3.<br> The area of the cross-section is 125cm2.<br> Work out x
fomenos

Answer:

x is 35 cm

Step-by-step explanation:

To find the value of x, we will divide the volume by the cross-section

Mathematically, that will be;

4375/125 = 35 cm

5 0
3 years ago
Children shorter than 54 inches get into the water park free. Howard is currently 42 inches tall. He grows approximately 3 inche
slava [35]

Answer:

42 + 3y ≤ 54

Step-by-step explanation:

6 0
3 years ago
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