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Naily [24]
3 years ago
13

The volume of this rectangular prism is 70 cubic units. If the area of the base is 28 square units, what is the height of the pr

ism.
Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0

Answer:

height = 2.5 units

Step-by-step explanation:

The volume of a rectangular prism is given by the product of its base area and its height. If the area of the base is 28 square units and the volume is 70 cubic units, we can find the height as follows:

Volume = base area * height

70 = 28 * height

height = 70 / 28

height = 2.5 units

The height of the rectangular prism is 2.5 units.

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For which of the following displays of data is it not possible to find the mean?
myrzilka [38]

Answer: Histogram

You can eliminate the stem and leaf plot, since it tells you the amount of values.

You can eliminate the dot plot, since it also shows you the number of values.

You can eliminate the frequency table, since it calculates the frequency of a number.

Thus, the answer is the histogram.

8 0
3 years ago
Read 2 more answers
A survey reveals that the sales of smartphones is increasing considerably. The average annual sales of smartphones, in million u
padilas [110]

Answer:

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Step-by-step explanation:

We have been given that the average annual sales of smartphones, in million units, n years after the survey is conducted is modeled by function p(n)=1.7\cdot b^n, where the parameter b is an unknown positive base.


We are asked to find the true statement about our given function.

A. If b= 1.45, the annual growth rate of the sales of smartphones is 145%.

Since we know that b equals (1+r) for growth function, where r is in decimal form.

If b=1.45, it means that the annual growth rate will be 45% as 0.45 is decimal form of 45%, therefore, statement A is not true.

B.  If b= 1.02, annual sales of smartphones will double in 2 years.

If b=1.02, it means that the annual growth rate will be 2% as 0.02 is decimal form of 2%, therefore, statement B is not true.

C. When the survey was initially conducted average sales of smartphones was 1.7 millions units.

Since we know that an exponential function is in form y=a*b^x, where a in initial value of function. We can see from our given function that a equals 1.7, therefore option C is a true statement.

D. The average sales of smartphones increases by 1.7 millions units every year.

Since our function is not a linear function, instead it is an exponential function, so rate of change can not be constant.

Therefore, option D is not true regarding our given function.

7 0
4 years ago
Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?
andrezito [222]

Answer:

It equals -2

Step-by-step explanation:

4 0
3 years ago
The two triangles are similar.
igor_vitrenko [27]

Answer:

  • x = 10

Step-by-step explanation:

<u>The ratio of corresponding sides of similar figures is same:</u>

  • 3x/20 = (4x + 2)/(20 + 8)
  • 3x/20 = (2x + 1) / 14
  • 3x(14) = (2x + 1)(20)
  • 42x = 40x + 20
  • 2x = 20
  • x = 10
6 0
3 years ago
Evaluate the function.<br><br> f(x) = x² - 4x – 12<br><br> Find f(-7)
pashok25 [27]

Answer:

Your answer is 65

Step-by-step explanation:

f(x) = x² - 4x - 12

f(-7) = (-7)² - 4 x (-7) - 12

= 49 - (-28) - 12

= 49 + 28 - 12

= 77 - 12

= <u>65</u>

7 0
2 years ago
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