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fgiga [73]
4 years ago
11

, draw and label examples of all rectangular prisms built with 16 unit cubes

Mathematics
1 answer:
amm18124 years ago
8 0
Volume is the amount of space inside a 3-dimensional figure. It is measured in cubic units. A cubic centimeter is a cube that is 1 cm wide, 1 cm long, and 1 cm high. Another way to think of volume is to find the number of unit cubes necessary for building the figure. There is a video about it's called volume of rectangle prism.
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| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
8 0
3 years ago
Read 2 more answers
A random sample of 64 freshmen spent an average of 14 hours per week watching television. the sample standard deviation was 32 h
NemiM [27]

Answer:

+/- 1.9983

Step-by-step explanation:

The critical values for a confidence interval for the population mean, with population standard deviation not known, are obtained from the student's t distribution.

The sample size is given as 64. The degrees of freedom will thus be;

sample size - 1 = 64 - 1 = 63

The confidence level is given as 95%. The level of significance will thus be;

100 - 95 = 5%.

The area in the right-tail will thus be 2.5%. Therefore, we looking for a t-value such that the area to its right is 2.5% and the degrees of freedom being 63. From the t-tables we have;

+/- 1.9983

3 0
3 years ago
Which unit abbreviation is a measurement of force?
Effectus [21]
<h3>Answer: C. N </h3>

N stands for Newtons

In terms of SI units, 1 newton = 1 kg m/s^2

It's based off the equation F = ma, which is Newton's second law.

------------

Extra info:

  • Choice A is velocity
  • Choice B is acceleration
  • Choice D is some unit I don't really recognize, so I'm not sure if its nonsense or it may have some use. Though I'm sure that N/s isn't a measurement of force.

3 0
3 years ago
A flag is 2 feet by 3 feet. I want to enlarge the flag so that the longest side is 15 feet. How long should the shorter side of
Temka [501]

Answer:5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which of these shows results of using the first equation to substitute for y in the second equation then combine like terms y=2x
mina [271]
2x+3(2x)=16
2x+6x=16
8x=16
you are absolutely right
3 0
3 years ago
Read 2 more answers
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