The radius of the Earth is approximately 3,960 miles. Find the approximate surface-area-to-volume ratio of the Earth.

Answers

Answer 1

Answer:
The surface area of a sphere is A = 4π R²

The volume of a sphere is V = (4/3) ( π) (R³)

The ratio of (surface area) to (volume) is

      4 π R² / (4/3) (π) (R³)

Divide top and bottom by 4π :    R² / (1/3) (R³)

Multiply top and bottom by 3: 3 R² / R³

Divide top and bottom by R² :    3 / R .

For the Earth,

   A / V = (3) / (3,960 miles) = 0.00076 per mile (rounded)

Answer 2

Answer:

Answer:

B. 0.00076

Step-by-step explanation:

Unit test on e2020

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What does 1/4 of a can of coffee cost if 4 cans of coffee cost $1.60
Pls include explanation

A triangle has one angel that measures 51 degrees and one angle that measures 39 degrees. what kind of triangle is it?

Answers

Those two angles are complementary - which means they both give us 90 degrees. We know that all three angles in any triangle must be exactly 180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means that our triangle is a straight triangle. The figure will look more less like in the attachment.

it would be a acute because you would do 51+39=90 which u would do 180-90 which would equal 90 and a aucte is a 90 degree angle

A sector of a circle is shown. Find its area, rounded to the nearest tenth. A)
9.8 cm2

B)
10.5 cm2

C)
11.2 cm2

D)
12.3 cm2

*I would like to know how you did it too*

Answers

The area of the sector of the circle, to the nearest tenth is: B. 10.5 cm²

What is the Area of the Sector of a Circle?

Area of the sector of a circle = ∅/360 × πr².

r = radius.

Given:

∅ = 68°

Radius (r) = 4.2 cm

Substitute

Area of the sector = 68/360 × π × 4.2²

Area of the sector = 10.5 cm²

Learn more about area of sector on:

brainly.com/question/22972014

Area of a circle = pi * radius^2
But we're not talking about a whole circle, but a portion of the circle.
The proportion of the area of the whole circle occupied by this sector is equal to the ratio of the created angle to the angle of a whole circle;
that may seem a bit confusing but basically:
Area of the sector = pi * radius^2 * 68/360
so...
Area = pi * (4.2)^2 * 68/360
= 10.467...
= 10.5 cm^2

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $50 comma 000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 000. however, if the economy goes into recession, the investment will result in a loss of $50 comma 000. you contact an economist who believes there is a 30% probability the economy will remain strong, a 60% probability the economy will grow at a moderate pace, and a 10% probability the economy will slip into recession. what is the expected profit from this investment?

Answers

Answer: $ 16,000 profit

Step-by-step explanation:

Given the following :

Profit when economy is strong = 50,000

Profit when economy is moderate = 10,000

Loss when economy goes into recession = 50000

Resulting probabilities of the three probable occurrences are:

Probability of strong economy; p(strong) = 30/100 = 0.3

Probability of moderate; P(moderate) = 60/100 = 0.6

Probability of recession; P(recession) = 10/100 = 0.1

Expected profit :

Summation of the product of each probability and its accompanying profit or loss.

P(strong) × profit of strong = 0.3 × 50000 = 15000

P(moderate) × profit of moderate = 0.6 × 10000 = 6000

P(recession) × loss on recession = 0.1 × 50000 = 5000 = - 5000 ( loss)

Expected profit :

$(15,000 + 6000 - 5000) = $16,000 profit

Does the rule y=-3x^5 represent an exponential function?

Answers

Hello,

y=-3*(x^5) is not an exponential equation but a polynomial equation.

Final answer:

The equation y=-3x^5 is not an exponential function. It is actually a polynomial function, specifically a quintic function. In an exponential function, the variable is in the exponent, which is not the case in this function.

Explanation:

The function you proposed, y=-3x^5, does not represent an exponential function. The primary characteristic of an exponential function is that the variable, in this case 'x', is in the exponent e.g. y = b^x where b is a positive constant.

In your equation, the variable 'x' is the base of the power, not the exponent. Thus, y=-3x^5 is a polynomial function, specifically it's a quintic function because the largest exponent is 5.

The output of an exponential function grows or decays proportionally, whereas for a quintic function, the growth rate will not necessarily be proportional.

Learn more about Exponential Function here:

brainly.com/question/37289664

#SPJ11

Rachel deposits $100 in a bank account and she gets 8% simple interest on it. Which linear model gives the return on her investment in terms of time t in years?a. R = 8t – 100
b. R = 8t + 100
c. R = 2t + 100
d. R = 88t + 100
e. R = 3t + 108