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exis [7]
3 years ago
12

2(x - y) and 2x – 2y Is it equivalent? Please give step by step explanation! Thanks!

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

Using distributive property:

2(x - y)

2(x) - 2(y)

2a

2x - 2y

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Savatey [412]

i really don't understand this question

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7 0
2 years ago
Ed's new car has a value of $23,500, but it is expected to depreciate at a rate of 7.5% per year. What is the value of Ed's car
Kazeer [188]

Answer:

$13,616

Step-by-step explanation:

For each year we will have to constantly decrease it by 7.5%

23,500 - 7.5%

= 21,737.5

= 21,737.5 - 7.5%

= 20,107.1875

= 20,107.1875 - 7.5%

= 18599.1484375

= 18599.1484375 - 7.5%

= 17204.2123047

= 17204.2123047 - 7.5%

= 15913.8963818

= 15913.8963818 - 7.5%

= 14720.3541532

= 14720.3541532 - 7.5%

= 13616.3275917

Definitively we will get the answer $13,616

8 0
3 years ago
Henry was building a tent and had four spikes that he had to pound into the ground. The net of one of the spikes is shown. What
Misha Larkins [42]
It is exactly 4008 and thats why people love you have a nice day ^-^
3 0
3 years ago
Pls help<br><br> Given: △ABC, CM⊥ AB, BC = 5, AB = 7<br> CA = 4 sqrt(2)<br> Find: CM
babymother [125]

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2  = 32

BM^2 + CM^2         = 25

(7 - BM)^2 - BM^2 = 7               (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7    

Step 4

Simplify And Solve

49 - 14BM = 7              Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42              Divide by - 14

BM = -42 / - 14

BM = 3

Step  Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2        Subtract 3^2 from both sides.

CM^2 = 25 - 9            

CM^2 = 16                     Take the square root of both sides.        

sqrt(CM^2) = sqrt(16)

CM = 4    < Answer

Step-by-step explanation:

6 0
2 years ago
The pH of a solution is measured eight times by one operator using the same instrument. She obtains the following data: 7.15, 7.
Nikolay [14]

Answer:

(a)7.185

(b)0.000371

(c) 0.019

(d)Sample variance and Sample standard deviation

Step-by-step explanation:

We are given the following sample data.

7.15, 7.20, 7.18, 7.19, 7.21, 7.20, 7.17, 7.18.

(a) Calculate the sample mean. Round your answer to 3 decimal places.

The formula for sample mean =

Sum of terms/Number of terms

= 7.15 + 7.20+ 7.18+7.19+7.21+7.20+7.17+ 7.18/8

= 57.48/8

= 7.185

(b) Calculate the sample variance. Round your answer to 6 decimal places.

The formula for sample Variance =

(x - mean)²/n - 1

n = 8

Sample variance = (7.15 - 7.185)² + (7.20-

7.185)²+ (7.18 -7.185)² + (7.19 -7.185)² + (7.21 - 7.185)² + (7.20 - 7.185)² + (7.17 - 7.185)² + (7.18 - 7.185)² /8 - 1

= 0.001225 + 0.000225+ 0.000025+ 0.000025 + 0.000625 + 0.000225 + 0.000225 + 0.000025/7

= 0.0026/7

= 0.000371428571

Approximately to 6 decimal places = 0.000371

(c) Calculate the sample standard deviation. Round your answer to 3 decimal places.

The formula for Sample Standard Deviation = √Sample variance

= √0.000371428571

= 0.01927248223

To 3 decimal places = 0.019

(d) Which of the following are potential major sources of variability in the experiment

Sample variance

Sample standard deviation

4 0
3 years ago
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