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Mekhanik [1.2K]
3 years ago
13

The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditione

r will be replaced with another cube-shaped unit with a volume of 1 cubic meter. By how much will the edge length of the air conditioner change?
Mathematics
1 answer:
katrin [286]3 years ago
8 0

Answer:

The edge length of the air conditioner changed by 0.2m

Step-by-step explanation:

The volume of a cube is S^3

The edge length of the former unit is cube root of 0.512 which is 0.8 m

The edge length of the new is cube root of 1 which is 1 m

The difference is 1-0.8 = 0.2 m

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Is the point (2,14) a solution of the equation y = 5x - 3?
tresset_1 [31]

Answer: No it is not

4 0
3 years ago
Rick and Betty are going to Virginia. It is an 8 hour trip. Rick gets. 50 mile head start and drives at a rate of 55 mph. Betty
maw [93]

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Step-by-step explanation:

Given,

Head start of Rick = 50 miles

Speed of Rick = 55 mph

Let,

x be the number of hours

y be the total miles

Distance covered by Rick in x hours = Speed * Time + Head start

y = 55x + 50

Speed of Betty = 65 mph

Total miles = Speed*Time

y=65x

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Keywords: variable, addition

Learn more about variables at:

  • brainly.com/question/10525991
  • brainly.com/question/10534381

#LearnwithBrainly

7 0
3 years ago
Listed below are speeds (mi/h) measured from southbound traffic on I-280 near Cupertino, California (based on data from SigAlert
adell [148]

Answer:

Option (B) is the correct answer to the following question.

Step-by-step explanation:

Step-1: We have to find the Mean of the series.

The series is Given in the question 62 61 61 57 61 54 59 58 59 69 60 67.

Mean(\overline{x})=\frac{62+61+61+57+61+54+59+58+59+69+60+67}{12} = 60.67

Step-2: We have to find the Standard Deviation.

Let Standard Deviation be x.

Formula of Standard Deviation is: s= \sqrt{\frac{\sum(x_{i}+\overline{x})}{n-1}}

Put value in formula of Standard Deviation,

s= \sqrt{\frac{(62+60.67)^{2}+(61+60.67)^{2}+(61+60.67)^{2}+(57+60.67)^{2}+....(67+60.67)^{2}}{n-1}} = 40.75

Step-3: Then, we have to find the critical value by chi-square.

X_{1-\alpha/2}^{2}=3.82

X_{1-\alpha/2}^{2}=21.92

Then, find the confidence interval which is 95%.

\sqrt{\frac{(n-1).s^2}{X_{\alpha/2}^{2}} } = \sqrt{\frac{12-1}{21.92}.(4.075)^2 }\approx2.8868 \\ i.e 2.9

\sqrt{\frac{(n-1).s^2}{X_{\alpha/2}^{2}} } = \sqrt{\frac{12-1}{3.816}.(4.075)^2 }\approx6.9188 \\ i.e 6.9

5 0
3 years ago
Solve 5x – 1 = 3x – 15. Explain each step, and include the Properties of Equality that you used.
artcher [175]

5x – 1 = 3x – 15

Subtraction Property of Equality  (Subtract 3x from both sides)

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Addition Property of Equality   (Add 1 to both sides)

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x = -7

7 0
3 years ago
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lana66690 [7]

The following answer is 171

4 0
3 years ago
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