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leonid [27]
3 years ago
14

Find the value of the monomial. 5x^3 for x=0.5

Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

The correct answer is 166.375 <em>or</em> 166.4 when rounded to the nearest tenth.

Step-by-step explanation:

If x = 0.5, then 5x^3 = 5.5^3.

5.5^3 is the same as <em>multiplying </em>5.5 by <em>itself </em> 3 times.

5.5 x 5.5 x 5.5 = 166.375 <em>or</em> 166.4 when rounded to the nearest tenth.

Hope this helps! :D

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Problem1 The behavior of a physical system can be described by the following first order differential equation: dy/dt=2y +t^2
daser333 [38]

Answer:

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}.

Step-by-step explanation:

Using first order linear differential equation:

\dfrac{\mathrm{d} y}{\mathrm{d} t} = 2y + t^2

\frac{\mathrm{d} y}{\mathrm{d} t} - 2y =t^2

finding integrating factor:

I.F = e^{\int -2dt}

I.F =e^{-2t}

now,

y = \dfrac{1}{IF}(\int t^2dt+ c )

y = \dfrac{1}{e^{-2t}}(\int t^2dt+ c )

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}

hence the solution is

y = \dfrac{t^3e^{2t}}{3}+Ce^{2t}

8 0
4 years ago
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distr
Rzqust [24]

Answer:

The answer to the question is

The percent of the distribution is less than m + d is 84 %

Step-by-step explanation:

To solve the question we list out the variables

Percentage of distribution between m +d and m - d = 68 %

Therefore percentage that are outside the range of m + d and m - d = 32 %

For symmetry to be maintained, of the 32 % that are outside the range of m + d and m - d, 16 % are on either side of the range m + d to m - d

That is 16 % < (m-d) ↔ (m+d)< 16% total range = 100 %

Therefore the proportion of the range lesser than m+d = 100 - 16 or 84 %

4 0
3 years ago
Find two numbers whose sum is 18 who’s difference is 22
wel

Answer:

The Answer is: The first number is 20 and the second number is -2.

Step-by-step explanation:

Let f = first number and s = second number.

The sum is 18:

f + s = 18

Solve for s:

s = 18 - f

The difference is 22:

f - s = 22

Substitute:

f - (18 - f) = 22

f - 18 + f = 22

2f = 22 + 18

2f = 40

f = 20, the first number.

Solve for s:

s = 18 - f

s = 18 - 20 = -2, the second number.

Proof:

20 + (-2) = 18

20 - 2 = 18

18 = 18

Then:

f - s = 22

20 - (-2) = 22

20 + 2 = 22

22 = 22

Hope this helps! Have an Awesome Day!! :-)

4 0
3 years ago
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