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Margarita [4]
3 years ago
13

A conical water tank with vertex down has a radius of 10 feet at the top and is 20 feet high. If water flows into the tank at a

rate of 10 ft3/minft3/min, how fast is the depth of the water increasing when the water is 15 feet deep?
Mathematics
1 answer:
tester [92]3 years ago
5 0
Since r=h/2 and V=(hpr^2)/3

V=(ph^3)/12

V(15)=281.25p and since V=10t, t=28.125p

V=(ph^3)/12

dV/dh=(3ph^2)/12=(ph^2)/4  and since V=10t, dV/dt=10

(dh/dV)(dV/dt)=dh/dt=12/(3ph^2)*10

dh/dt=120/(3ph^2)  and we want the rate when h=15 so

dh/dt(15)=120/(675p)

dh/dt=0.05658 ft/min  
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F(3)= 5x^2 - 4x + 9<br> evaluate this quadratic function
Neporo4naja [7]

Answer:

f(3) = 38

Step-by-step explanation:

Given the quadratic function

f\left(x\right)=\:5x^2\:-\:4x\:+\:9

Evaluating the quadratic function

f\left(x\right)=\:5x^2\:-\:4x\:+\:9

substitute x = 3

f\left(3\right)=\:5\left(3\right)^2\:-\:4\left(4\right)\:+\:9

f(3) = 45-16+9

f(3) = 38

Therefore,

  • f(3) = 38
6 0
2 years ago
Savings account A has 1500 and pays 3.5% interest yearly. Savings account B has 1400 and pays 4% interest yearly. the savings ac
Alex73 [517]
To find these numbers, we do this:
Savings Acc A:
1.35(1500) = 2025
Savings Acc B:
1.04(1400) = 1456
Savings Account A has earned the most interest.
7 0
3 years ago
Read 2 more answers
Which characteristics of a graph tell you that it represents<br> a proportional relationship?<br> I
SVEN [57.7K]

Answer: is a straight line that passes through the orgin hope it helps

Step-by-step explanation:

4 0
3 years ago
In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4.<br> What is the length of a diagonal?
slega [8]

Answer:

18

Step-by-step explanation:

From the rectangle, M O = NP

4x - 10 = 2x+4

4x-2x = 4 + 10

2x = 14

x = 14/2

x = 7

SInce MO and NP are the diagonal

Length of diagonal = 4x- 10

Length of diagonal = 4(7) - 10

Length of diagonal = 28 - 10

Length of diagonal = 18

hence the required length is 18

6 0
3 years ago
PLEASE HELP 13 POINTS
aalyn [17]

Circumference of circle = π × Diameter

= π × 18 cm

= 56.54867 or 56.54 to 1 dp

3 0
3 years ago
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