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atroni [7]
2 years ago
11

A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that

forms the bead?

Mathematics
2 answers:
Alexxandr [17]2 years ago
5 0

Answer:

54

Step-by-step explanation:

The formula for the volume V of a prism is V=​Bh, where B represents the area of a base and h represents the height of the prism. Subtract the volume of the small prism from the volume of the large prism.

olganol [36]2 years ago
4 0

The volume of the removed portion is 35 cm³.

Step-by-step explanation:

Given,

The length× width× height (L×B×H) of the outer part = 3 cm×3 cm×7 cm

The length× width× height (l×b×h) of the inner part = 2 cm×2 cm×7 cm

To find the volume of the removed portion.

Formula

The volume of the removed portion = volume of outer part - volume of inner part

Volume of rectangular prism = l×b×h

Now,

Volume of outer part = 3×3×7 cm³ = 63 cm³

Volume of inner part = 2×2×7 cm³ = 28 cm³

Hence,

The volume of the removed portion = 63-28 cm³ = 35 cm³

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creativ13 [48]

Answer:

B is the answer.

Step-by-step explanation:

x^{\frac{m}{n} }  = \sqrt[n]{x^{m} }  

\sqrt[4]{81^{5} } =  81^{\frac{5}{4} }

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2 years ago
A social media platform states that a social media post from a marketing agency has 7 hashtags, on average. A digital marketing
dimaraw [331]

Answer:

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Step-by-step explanation:

A social media platform states that a social media post from a marketing agency has 7 hashtags, on average.

This means that at the null hypothesis, we test if the mean is 7, that is:

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H_1: \mu \neq 7

Thus, the correct answer is given by option a.

4 0
1 year ago
According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most
AlekseyPX

Answer:

His 95% confidence interval is (0.065, 0.155).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 186, \pi = 0.11

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 - 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.065

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 + 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.155

His 95% confidence interval is (0.065, 0.155).

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On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3)
motikmotik
Answer; I tink we can do it again




Explanation; wpfobidkdkbkgkeobhigifooefofof
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2 years ago
Prove the following with Euler's formula to write e^itheta and e^-itheta in terms of sine and cosine. Then subtract them.
kirill115 [55]
Euler's formula tells us that

e^{i\theta}=\cos\theta+i\sin\theta
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Suppose we subtract the two. This eliminates the cosine terms.

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