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2 years ago

What is the volume of a rectangular prism with dimensions 3ft 4ft and 12 ft?

Mathematics

2 answers:

ExtremeBDS [4]2 years ago

6 0

144

Explanation:3 times 4 is 12
12 times 12 is 144

andrew-mc [135]2 years ago

3 0

Answer:

144

Step-by-step explanation:

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Find the following integral. <br> Integrate x + 5/x^2 +10x +26 dx

sweet-ann [11.9K]

Given :

Polynomial , $f(x)=x+\dfrac{5}{x^2}+10x+26$ .

To Find :

Integration of f(x) .

Solution :

We know , integration of $x^n$ is :

$\int x^n \, dx = \dfrac{x^{n+1}}{n+1}+C$

( Here , is C is a constant )

Now ,

$\int f(x)\ dx=\int( x+\dfrac{5}{x^2}+10x+26)dx\\ \\ \int f(x)\ dx= \int x\ dx+\int 5x^{-2}\ dx+\int 10 x \ dx +26\ dx\\ \\ \int f(x)\ dx=\dfrac{x^2}{2}+\dfrac{5\times x^{-1}}{(-1)}+\dfrac{10x^2}{2}+26x+C\\\\ \int f(x)\ dx=\dfrac{11x^2}{2}+26x-5x^{-1}+C$

Therefore , the integration is $\dfrac{11x^2}{2}+26x-5x^{-1}+C$ .

Hence , this is the required solution .

6 0

2 years ago

If (x+5) is a factor of 3x^2+14x+k, what is the value of k?

kherson [118]

If (x+5) is a factor the equation will equal zero when x=-5 so

3(-5^2)+14(-5)+k=0

75-70+k=0

5+k=0

k=-5

7 0

3 years ago

2. Tessa used the computer every day. Her mother said Tessa could only use the

Vlada [557]

Answer:

3/4 of an hour

Step-by-step explanation:

To find the leftover time, subtract the total allotted time by the time used.

First make sure they have common denominators.

1 1/2 = 3/2 = 6/4

6/4 - 3/4 = 3/4

Tessa has 3/4 of an hour left.

7 0

2 years ago

Jamal ran 8 kilometers, sprinted 500 meters, and climbed bleachers for a distance of 1.5 kilometers during track practice. How m

xeze [42]

1 kilometer=1000 meters so the 8 kilometers he ran would be 8000 meters then theres the 500 he sprinted. he climbed bleachers for 1.5 kilometers which would equal 1500 meters so 8000+500+1500=10,000. He traveled 10,000 kilometers.

6 0

3 years ago

Read 2 more answers

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de

suter [353]

Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 5.72, \sigma = 0.07$