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mars1129 [50]
3 years ago
13

A) work out the radius of the mercury, giving your answer as an ordinary number

Mathematics
1 answer:
guapka [62]3 years ago
7 0

Answer:

a. 2,440 km

b. 1.33*10^{27} kg

Step-by-step explanation:

a. Diameter of Mercury = 4.88*10^3

Radius of Mercury = ½ of its diameter = \frac{4.88*10^3}{2}

Radius of Mercury = 2.44*10^3

To convert the radius to ordinary number, multiply 2.44 by 1,000.

Radius of Mercury as an ordinary number = 2.44*1,000 = 2,440 km

b. Mass of Jupiter = 1.898*10^{27} kg

Mass of Saturn = 5.68*10^{26} kg

Difference between mass of Jupiter and mass of Saturn = 1.898*10^{27} - 5.68*10^{26} (subtract 5.68 from 1.898 = 5.68. we would retain the largest exponent, which is raised to the lower of 27.)

= 1.33*10^{27}

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Helllllppppppppppppp
antoniya [11.8K]

Answer:

0.62

Step-by-step explanation:

0.5+0.1+.02=0.62

5 0
3 years ago
Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces ​
Leya [2.2K]

Answer:

$0.90

Step-by-step explanation:

\frac{4}{10}=0.4

3 dozen = 36

\frac{36}{0.4} =\frac{y}{0.1}

0.4 × y = 36 × 0.1

0.4y = 3.6

0.4y ÷ 0.4 = 3.6 ÷ 0.4

y = 9

5 0
3 years ago
Which of the following is an improper integral?
guapka [62]

Answer:

A)  \displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx

General Formulas and Concepts:

<u>Calculus</u>

Discontinuities

  • Removable (Hole)
  • Jump
  • Infinite (Asymptote)

Integration

  • Integrals
  • Definite Integrals
  • Integration Constant C
  • Improper Integrals

Step-by-step explanation:

Let's define our answer choices:

A)  \displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx

B)  \displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx

C)  \displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integration

Book: College Calculus 10e

6 0
3 years ago
Solve.<br> X + 1 = X + 1
Aleksandr [31]
x + 1 = x + 1

x - x = 1 - 1

0 = 0
4 0
3 years ago
Megan and her little sister, Nora, counted their Halloween candy after trick-or-treating. They love taffy and wanted to know who
storchak [24]

Answer:

Nora

Step-by-step explanation:

M 20 : 50 = 2/5

N 11/25

2/5 = 10/25 < 11/25

3 0
3 years ago
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