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Dennis_Churaev [7]
3 years ago
14

Pls help I hate math and I have to get somewhere soon

Mathematics
1 answer:
kati45 [8]3 years ago
3 0

Can’t do 16 but here are the rest :))

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Water flows into a tank according to the rate F of t equals the quotient of 6 plus t and the quantity 1 plus t, and at the same
diamong [38]

Answer:

Step-by-step explanation:

The complete question is

Water flows into a tank according to the rate F(t)= (t+6)/(1+t), and at the same time empties out at the rate E(t)= (ln(t+2))/(t+1), with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest galllon, is in the tank at time t=10 minutes.

Let C(t) be the amount of water in the tank at time t. We now that the rate of change of the tank is given by

\frac{dC}{dt}=[\tex]rate at which water flows in- rate at which water flows out. Then [tex]\frac{dC}{dt}=\frac{t+6}{t+1}-\frac{\ln(t+2)}{(t+1)}[\tex]so, the desired expression is obtained by integrating with respect to t. This leads us to [tex]C(t)  = \int \frac{t+1}{t+1}+ \frac{5}{t+1} - \frac{\ln(t+2)}{(t+1)} dt=t+ 5 \ln (|t+1|)-\int \frac{\ln(t+2)}{(t+1)} dt +C

Unfortunately, the integral \int \frac{\ln(t+2)}{(t+1)} dt cannot be expressed using fundamental functions. So, the problem cannot have an specific function (if you are willing to know the complete answer, the integral of this function uses the  polylogarithm function with n=2).

Since you want the exact amount of water at time, you need to give C a value, that is, you need to know an initial condition for the problem. This means, you need to know the amount of water in the tank at time 0

8 0
3 years ago
Find what the measurements of angles a-d are and state the reason <br><br> Like how do you solve it?
ANTONII [103]
Angle d is a vertical angle to the 70° angle meaning that angle d is 70°--to confirm it, line EF is 180° and
180- 40-70= 70° (and 70/2 is 35 which is the measurement for angle e and f bc we know that they are equal)

To find a-- we know now that f is 35, bc a and f are vertical angles, that means a is equal to f...

ANSWER- a is 35° and d is 70°
5 0
3 years ago
Engineers want to design brakes that will reduce stopping distances by 10%. How would this change the equation relating speed s,
AlekseyPX
For the answer to the question above,  we will use this formula to solve this problem
<span>d = kv^2 </span>

<span>plugging in, </span>
<span>4.2 = k*10^2 </span>
<span>k = 0.042 </span>

<span>d = 0.042v^2 </span>

<span>the revoised equation will be </span>
<span>d = 0.9*0.042v^2 , i.e. </span>

<span>d = 0.0378v^2 

I hope my answer helped you</span>
8 0
3 years ago
Need the answers for a test ASAP
jeka57 [31]

Answer:

It is the last option

Step-by-step explanation:

7 0
2 years ago
Please help I will give brainliest
Marat540 [252]

Answer:B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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