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Naily [24]
3 years ago
5

Hello, can i please have help on this question thank you

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:

Step-by-step explanation:

a) One can get maximum score when all the 20 questions answered are correct.

Maximum score = 20*3 = 60 points

b) Minimum score = 20 * (-2) = -40 points

c) Points for correctly answered questions = 10*3 = 30

Incorrectly answered questions = 14 - 10 = 4

Points for incorrectly answered questions = 4 * (-2) = -8

Total score = 30 + (-8) = 22

d) Points for correctly answered questions =5*3 =  15

Points for incorrectly answered questions = 13 * (-2) = -26

Total score = 15 + (-26) = -11

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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star
ANEK [815]

Answer:

9.2\ \text{m}

Step-by-step explanation:

b = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt

Integrating from t=0 to t=3

V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24

Volume of water remaining in the tank is 70-24=46\ \text{m}^3

Suface area of base \times depth = Volume

5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}

The depth of the water remaining in the tank is 9.2\ \text{m}.

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