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MaRussiya [10]
3 years ago
10

The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x

units.
Which expression represents the volume of the prism, in cubic units?

x3 + 9
x3 + 3x2
x3 + 3x + 3
x3 + 6x2 + 9x
Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0

Answer:

B. x^3 + 3x^2

Step-by-step explanation:

Volume of a rectangular prism=width * length * height

V=w*l*h

h=3 greater than the length of the base

h=x+3

Length of the base=x

Width=x

Substituting values into the formula

V=w*l*h

=(x)*(x)*(x+3)

Multiplying

=(x^2)(x+3)

=x^3 + 3x^2

Option B is the correct answer

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Please help!
loris [4]

m∠B = 33° is the answer.

<u>Step-by-step explanation:</u>

If two triangles ΔABC and ΔMOP are similar,  then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A  ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

So we can add as,

∠A + ∠B+ ∠P = 180°

45° + ∠B + 102° = 180°

∠B + 147° = 180°

∠B = 180° - 147° = 33°

8 0
3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
marusya05 [52]

Answer:

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

\hat p =\frac{955-812}{955}= 0.150

0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131

0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169

And the 90% confidence interval would be given (0.131;0.169).

Step-by-step explanation:

We have the following info given:

n= 955 represent the sampel size slected

x = 812 number of students who read above the eighth grade level

The estimation for the proportion of tenth graders reading at or below the eighth grade level is given by:

\hat p =\frac{955-812}{955}= 0.150

The confidence interval for the proportion  would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 90% confidence interval the significance is \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution and we got.

z_{\alpha/2}=1.64

And replacing into the confidence interval formula we got:

0.150 - 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.131

0.150 + 1.64 \sqrt{\frac{0.150(1-0.150)}{955}}=0.169

And the 90% confidence interval would be given (0.131;0.169).

8 0
3 years ago
What property is this? (3x+12y)+(10x-5y)
SpyIntel [72]

Answer:

Assciates Property

Step-by-step explanation:

look at the picture above

6 0
3 years ago
Write the abbreviations for a. Fifteen degrees below zero Fahrenheit b. Seventy-eight degrees below zero Celsius c. Twenty-five
IRISSAK [1]
Answers are:
-15<span>°F
-78</span><span>°C
</span>23<span>°C
</span>199<span>°F</span><span>

</span>
4 0
3 years ago
Read 2 more answers
5,000 lb equals how many tons
matrenka [14]
5000 pounds is equal to 2.5 tons because 1 ton is equal to 2000 pounds

8 0
3 years ago
Read 2 more answers
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