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blsea [12.9K]
4 years ago
9

Find the area of the entire surface of the prism. 5 4 3

Mathematics
2 answers:
tatyana61 [14]4 years ago
5 0
94 is the correct answer
Vikki [24]4 years ago
4 0

Answer:

A=94

Step-by-step explanation:

Length: 5

Width: 4

Height: 3

Shape: Rectangle prism

Solved for surface area

Formula: A=2(wl+hl+hw)

Formula: L*W*H

Answer: A=94

<em><u>Hope this helps.</u></em>

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Which line graph correctly reflects the information in the frequency table?
bekas [8.4K]
<h3>Answer: Choice B</h3>

Explanation:

You can use Excel to make the graph, but other free options work just fine. I used LibreOffice to make the graph shown below.

Each point on the line graph represents a frequency for a given time value. The first point being 4 units high, means there were 4 customers at 8:00 AM. Then there were 6 customers at 9:00 AM, meaning the next dot has a height of 6. And so on.

The graph shown below matches with choice B.

3 0
2 years ago
What is x if [-1 -2 4 8] + X =[-5 -1 2 1]
Scilla [17]

Answer:

X = [-5 -1 2 1] - [-1 -2 4 8] = [-4 1 -2 -7]

8 0
3 years ago
Devon has 100 dimes and quarters. If the total value of what he has is $21.40, how many of each coin type does he have?
timurjin [86]

Answer:

4 dimes i think and 5.25 worth of quarters

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the nth term rule of the quadratic sequence below?
Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

<u>Given sequence</u>:

6, 20, 40, 66, 98, 136, ...

Calculate the <u>first differences</u> between the terms:

6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136

As the first differences are not the same, calculate the <u>second differences:</u>

14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38

As the <u>second differences are the same</u>, the sequence is quadratic and will contain an n² term.

The <u>coefficient</u> of the n² term is <u>half of the second difference</u>.

Therefore, the n² term is:  3n²

Compare 3n² with the given sequence:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

The second operations are different, therefore calculate the differences <em>between</em> the second operations:

3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18

As the differences are the same, we need to add 5n as the second operation:

\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2  +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2  &-2  & -2  \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0
2 years ago
Find the five-number summary for the given data. Min Q1 Q2 Q3 Max
Aleonysh [2.5K]

Answer with Step-by-step explanation:

16 19 21 26 27 29 34 35 35 39 40 41 42 50 50 52 57 60 75 76 78 81 84

the data is already arranged in ascending order

Min=16

Max=84

The quartiles for the odd set of data is given by

Qi=\dfrac{i(n+1)}{4}\ th\ term

where n is the number of elements

Here, n=23

Q1=\dfrac{(23+1)}{4}\ th\ term

Q1=6 th term

Q1=29

Q2=12 th term

Q2=41

Q3=18 th term

Q3=60

Hence, five-number summary for the given data is:

Min  Q1   Q2   Q3   Max

16     29   41     60    84

8 0
3 years ago
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