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Anvisha [2.4K]
3 years ago
14

What is a solution set for 3t-5>7?

Mathematics
1 answer:
dedylja [7]3 years ago
4 0

Step-by-step explanation:

3t - 5 > 7

3t > 12 (add 5 to both sides)

t > 4 (divide 3 on both sides)

The solution set for t should only have values which are greater than 4.

Hence the answer is C.

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For the differential equation dy/dt=ky, k is a constant, y(0)=24, and y(1)=18. What is the value of k?
Gre4nikov [31]

The equation is separable, so solving it is trivial:

\dfrac{\mathrm dy}{\mathrm dt}=ky\implies\dfrac{\mathrm dy}y=k\,\mathrm dt

Integrating both sides gives

\ln|y|=kt+C\implies y=e^{kt+C}=Ce^{kt}

Given y(0)=24 and y(1)=18, we find

24=C

18=Ce^k=24e^k\implies e^k=\dfrac34\implies k=ln\dfrac34

so the answer is E.

8 0
4 years ago
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Answer:

4m(4m-3)

Step-by-step explanation:

16m^2 − 12m

16 m^2 = 2*2*2*2*m*m

12m = 2*2*3*m

The greatest factor for 16m^2 and 12m is 2*2*m  or 4m

Factor out 4m

16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)

12m = 2*2*3*m = 4m(3)

Factoring out 4m

16m^2 − 12m

4m(4m-3)

3 0
3 years ago
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Answer:

a) only extreme values are used in its calculation.

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In a data set, the range is given by the subtraction of it's highest value by it's lowest value.

The disadvantage is that it gives a high weight to extreme values, not focusing on central values. So the correct answer is given by option a

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