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BartSMP [9]
2 years ago
7

Check whether the sequence is arithmetic. If​ so, find the common difference d. 2​, 7​, 12​, ​17, 22 ... Select the correct choi

ce below​ and, if​ necessary, fill in the answer box within your choice.

Mathematics
1 answer:
Arturiano [62]2 years ago
3 0

Answer:

The answer is A.

Step-by-step explanation:

The common difference is five because 7-2=5, 12-7=5, 17-12=5, 22-17=5, and so on.  

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A problem states. "There are 7 more girls than boys in a club
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3 years ago
Write the standard form equation of the ellipse shown in the graph, and identify the foci.
vlada-n [284]

Answer option A

From the given graph is a Vertical ellipse

Center of ellipse = (-2,-3)

Vertices are (-2,3)  and (-2,-9)

Co vertices are (-6,-3) and (2,-3)

The distance between center and vertices = 6, so a= 6

The distance between center and covertices = 4 , so b= 4

The general equation of vertical ellipse is

\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2}=1

(h,k) is the center

we know center is (-2,-3)

h= -2, k = -3 , a= 6  and b = 4

The standard equation  becomes

\frac{(x+2)^2}{4^2} + \frac{(y+3)^2}{6^2}=1

\frac{(x+2)^2}{16} + \frac{(y+3)^2}{36}=1

Foci  are (h,k+c)  and (h,k-c)

c=\sqrt{a^2-b^2}

Plug in the a=6  and b=4

c=\sqrt{6^2-4^2}

 c=\sqrt{20}

  c=2\sqrt{5}, we know h=-2  and k=-3

Foci  are   (-2,-3+2\sqrt{5})  and  (-2,-3-2\sqrt{5})

Option A is correct

6 0
3 years ago
Researchers are interested in the relationship between socio-economic class and unethical behavior in US adults. Therefore, 129
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Answer:

Step-by-step explanation:

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Sample : 129 UC Berkeley Undergraduates

2)

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3)

No, because the the study is observational.

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Amie had an operation on her knee. To help it get strong again, she walks once around this rectangular path in the park every mo
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You would need to know how long the path is to answer this question

8 0
3 years ago
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How to find area of a rectangular shape
Ostrovityanka [42]

Answer:

You multiply the length and the width to get the area.

Step-by-step explanation: For example if the length was 5 and the width was four the answer would be 20 because 5x4=20

3 0
3 years ago
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