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bonufazy [111]
3 years ago
12

The Grand Canyon is approximately 29 kilometers long. Mariner Valley is a canyon on Mars that is approximately 212 kilometers lo

ng. About how many times longer is Mariner Valley than the Grand Canyon?
2
23
221
2108

Question 5(Multiple Choice Worth 4 points)

Simplify 32 ⋅ 35.

37
310
97
910
Mathematics
1 answer:
solong [7]3 years ago
4 0
Mariner Valley is approximately 7.31 kilometers longer than the Grand Canyon.

32 · 35 simplified is 1120.

Are you sure you have the correct choices om your problem?
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Answer:

.25 X 4 = 1

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.10 X 10 = 1

Step-by-step explanation:

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The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. A) What is t
zhannawk [14.2K]

Answer:

Part A:

Median value for Brand X = 13

Median value for Brand Y = 16

Part B: Brand Y has a longer battery life

Step-by-step explanation:

Part A:

Median value is depicted on a box plot by the vertical line that divides the rectangular box. Therefore:

Median value for Brand X = 13

Median value for Brand Y = 16

Part B:

Brand Y has a higher median value (16) than Brand X (13).

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) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick
Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= \pi (r+\triangle r)^2- \pi r^2

=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]

=\pi [2r\triangle r+(\triangle r)^2]

Since (Δr)² is very small, So it is ignorable.

∴A=2\pi r\triangle r

The density \delta (r)= \frac{40}{1+r^2}

We know,

Mass= Area× density

        =(2r \pi \triangle r)(\frac{40}{1+r^2}})

Total mass M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i

Therefore

\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr

                      =40\pi[ln(1+r^2)]_0^5

                      =40\pi [ln(1+5^2)-ln(1+0^2)]

                     =40\pi ln(26)

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Therefore the mass of the of the oil is 409.59 kg.

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3 years ago
The cost of making a large circle is 1.50. The cost of making the smaller circle is 3/4 the cost of making the larger circle.
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Answer:

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