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Artemon [7]
2 years ago
9

Information about five planets is shown in the table below.

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
4 0

Answer:

(a)Jupiter

(b)24.4 km

(c)1.33 \times 10^{27}$ kg

Step-by-step explanation:

<u>Part A</u>

The planet with the greatest ma.ss is Jupiter.

It has a ma.ss of 1.898 X 10^{27}$ kg

<u>Part B</u>

The diameter of Mercury = 4.88 X 10

Radius = Diameter/2

Therefore:

Radius of Mercury

=\dfrac{4.88 X 10}{2}\\ =2.44 X 10\\=24.4$ km

<u>Part C</u>

M$a.ss of Saturn = 5.68 X 10^{26}\\$Mass of Jupiter = 1.898 X 10^{27}\\$Difference in their ma.ss =(1.898 X 10^{27})-(5.68 X 10^{26})\\=1.33 \times 10^{27}$ kg

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katrin [286]

The area of the cross section of the column is 18 \pi \ m^2

Explanation:

Given that a building engineer analyzes a concrete column with a circular cross section.

Also, given that the circumference of the column is 18 \pi meters.

We need to determine the area of the cross section of the column.

The area of the cross section of the column can be determined using the formula,

Area= \pi r^2

First, we shall determine the value of the radius r.

Since, given that circumference is 18 \pi meters.

We have,

2 \pi r=18 \pi

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Now, substituting the value r=9 in the formula Area= \pi r^2, we get,

Area = \pi (9)^2

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2 years ago
Riley started selling bracelets. During the first month she sold 400 bracelets at $10 each. She tried raising the price, but for
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I would just divide 400 and 10 and then try to come up with the salary
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2 years ago
Rate at which risk of down syndrome is changing is approximated by function r(x) = 0.004641x2 − 0.3012x + 4.9 (20 ≤ x ≤ 45) wher
romanna [79]
The rate of change of the risk of down syndrome (in percentage of births per year) is
r(x) = 0.004641x² - 0.3012x + 4.9,   20≤ x ≤ 45
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The function giving risk as a percentage of births when maternal age is x is the integral of r(x). That is,
f(x) = 0.001547x³ - 0.1506x² +4.9x + c

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0.001547(30³) - 0.1506(30²) + 4.9(30) + c = 0.14 
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Answer:
f(x) = 0.001547x³ - 0.1506x² + 4.9x - 53.089,   20 ≤ x ≤ 45

The function is graphed as shown below.

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2 years ago
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Lady_Fox [76]

Answer:is this a real quistion

Step-by-step explanation:?

7 0
2 years ago
A 16-inch candle is lit and burns at a constant rate of 0.8 inches per hour. Let t represent the number of hours since the candl
Tamiku [17]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

a.

The initial length of the candle is 16 inch. It also given that, it burns with a constant rate of 0.8 inch per hour.

After one hour since the candle was lit, the length of the candle will be (16 - 0.8) = 15.2 inch.

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b.

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c.

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8 0
2 years ago
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