The diameter of the Sun is about 1.4 x 10 to the 6th power km. The diameter of Earth is about 13,000 km.
What is the approximate ratio of the diameter of the Sun to the diameter of the Earth?

A. 1.08 x 10 to the 2nd power
B. 9.2 x 10 to the power of -3
C. 1.08 x 10 to the 3rd power
D. 9.2 x 10 to the 2nd power

Answers

Answer 1

Answer:

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

Step-by-step explanation:

In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,

[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]

The ratio is given by the Sun's diameter divided by the Earth's, as shown below:

[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.


Related Questions

What is 40% of 160?
A. 20
B. 40
C.
32
D. 64
E.
75




it's 64​

Answers

AnswerD. 64

Step-by-step explanation:

Answer:

D.) 64

Step-by-step explanation:

The age of father is three times the age of son. If the age of son is 15 years old, then the age of father is:
50 years
55 years
45 years
40 years

Answers

It’s 45 years old sorry,if I’m wrong.
The age of the father is 45 years

Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0, –1) D) (–2, –5)

Answers

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]

                    = -[tex]\frac{16}{8}[/tex]

                    = -2

and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]

         = [tex]-\frac{40}{8}[/tex]

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

PLEASE I NEED A LOT OF HELP

Answers

Answer:

x = 45°

Step-by-step explanation:

Look at the picture*

How many solutions does the equation 4x + 8 = − 2 − 2 + 5x have?

Answers

Answer:

12 =x

There is one solution

Step-by-step explanation:

4x + 8 = − 2 − 2 + 5x

Combine like terms

4x+8 = -4+5x

Subtract 4x from each side

4x-4x+8 = -4+5x-4x

8 = -4+x

Add 4 to each side

8+4 = -4+4+x

12 =x

Answer: only one 4x+8=-4+5x

4x-5x=8+4

-1x=12

x=-12

Step-by-step explanation:

In your own words, explain the steps you would need to take to find slope from data in a table.


Answers

The steps that you need is to add subtract and divide all the slopes to get your answer

Answer:

Sample Answer:   Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.

Differentiate the function.

y = (4x − 1)^2 (4 -x^5)^4

dy/dx=​

Answers

Answer:

[tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                                [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = (4x - 1)²(4 - x⁵)⁴

Step 2: Differentiate

Product Rule:                                                                                                 [tex]\displaystyle y' = \frac{d}{dx}[(4x - 1)^2](4 - x^5)^4 + (4x - 1)^2\frac{d}{dx}[(4 - x^5)^4][/tex]Chain Rule [Basic Power Rule]:                                                                       [tex]\displaystyle y' = [2(4x - 1)^{2 - 1} \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^{4 - 1} \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = [2(4x - 1) \cdot \frac{d}{dx}[(4x - 1)]](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot \frac{d}{dx}[(4 - x^5)]][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = [2(4x - 1) \cdot 4x^{1 - 1}](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^{5 - 1}][/tex]Simplify:                                                                                                          [tex]\displaystyle y' = [2(4x - 1) \cdot 4](4 - x^5)^4 + (4x - 1)^2[4(4 - x^5)^3 \cdot -5x^4][/tex]Multiply:                                                                                                         [tex]\displaystyle y' = 8(4x - 1)(4 - x^5)^4 - 20x^4(4x - 1)^2(4 - x^5)^3[/tex]Factor:                                                                                                           [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 2(4 - x^5) - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute 2:                                                             [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 5x^4(4x - 1) \bigg][/tex][Distributive Property] Distribute -5x⁴:                                                         [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3 \bigg[ 8 - 2x^5 - 20x^5 + 5x^4 \bigg][/tex][Brackets] Combine like terms:                                                                     [tex]\displaystyle y' = 4(4x - 1)(4 - x^5)^3(-22x^5 + 5x^4 + 8)[/tex]Factor:                                                                                                           [tex]\displaystyle y' = -4(4x - 1)(4 - x^5)^3(22x^5 - 5x^4 - 8)[/tex]

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

Unit: Derivatives

Book: College Calculus 10e

Please help me with my Algebra. :)

Answers

Answer:

[tex]\mathrm{D}[/tex]

Step-by-step explanation:

[tex]6x+5y=-2[/tex]

[tex]6(-2)+5(2)=-2[/tex]

[tex]-12+10=-2[/tex]

[tex]-2=-2[/tex]

[tex]\mathrm{Hence,\:it\:is\:true.}[/tex]

Answer:

A

Step-by-step explanation:

Rod has to read a book which has p pages. He plans to read r pages each day for d days.
Write an equation for the number of pages left, b, in the book, after d days.

Answers

Answer:

Look at the attachment

The equation is an illustration of a linear function.

The equation for the number of pages left in the book is [tex]b =p- rd[/tex]

The total number of pages is:

[tex]Total = p[/tex]

The daily rate is:

[tex]Rate = r[/tex]

So, the number of pages read in d days is:

[tex]Pages = Rate \times Days[/tex]

This gives

[tex]Pages = r \times d[/tex]

Multiply

[tex]Pages = rd[/tex]

The number of pages left (b) is then calculated as:

[tex]b =Total - Pages[/tex]

So, we have:

[tex]b =p- rd[/tex]

Hence, the equation for the number of pages left in the book is [tex]b =p- rd[/tex]

Read more about linear equations at:

https://brainly.com/question/14323743

These are my last points. I just wanted to give them away so the first one to answer correctly get the last points.

Answers

Answer:

x=-3

Step-by-step explanation:

\left(5^3\right)^2\cdot 5^{x+4}=5^7

Apply\:exponent\:rule

x+10=7

x=-3

Answer:

x = -3

Step-by-step explanation:

(5^3)^2 · 5^(x+4) = 5^7

First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.

(5^3)^2 = 5^(3·2) = 5^6

We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:

5^6 · 5^(x+4) = 5^7

We can divide 5^6 from both sides to get:

5^(x+4) = (5^7)/(5^6)

When exponents of like terms are divided we can subtract the exponents.

5^(x+4) = 5^(7-6)

5^(x+4) = 5^1

This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:

5^x · 5^4 = 5^1

We can divide both sides by 5^4.

5^x = (5^1)/(5^4)

We simplify the right side by the same way we did earlier when we divided exponents:

5^x = 5^(1-4)

5^x = 5^-3

We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:

x = log₅(5^-3)

If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.

So x = -3

Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:

x = -3(log₅5)

x = -3(1)

x = -3

Either way works.

Plz Help!
Hank has cards that are 4 inches by 2 inches. A stack of these cards fits inside the box shown and uses up 8 cubic inches of volume.

L 4 in.
W 2 in.
H 2 in.

Part 1 out of 2
How tall is the stack of cards?

The stack is ___ inch(es) tall.

Answers

The stack of cards are 1 inch tall all together taking up 8 inch’s (cubed)or half of the space

The fuel efficiency of passenger cars has increased significantly since the 1970s. A linear model of this situation is given below, where x represents the number of years after 1970, and y represents the average miles per gallon. Interpret the slope.


A. For each year since 1970, passenger car fuel efficiency has increased by 0.29 gallons per mile.

B. For each year since 1970, passenger car fuel efficiency has increased by 13 gallons per mile.

C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

D. For each year since 1970, passenger car fuel efficiency has increased by 13 miles per gallon.

Answers

its C not A because

For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Answer: The answer is C. For each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Step-by-step explanation:

In a linear model of the form y = mx + b, m is the slope and b represents the y-intercept.

In this situation, 0.29 is the slope.

The slope is the ratio of the change in y to the change in x.

In context, the slope indicates an increase of 0.29 miles per gallon per year after 1970.

Therefore, the slope means that for each year since 1970, passenger car fuel efficiency has increased by 0.29 miles per gallon.

Which expression is equivalent to 3x + 6y?

Answers

Answer:

3x+6y =0

-6y

3x=-6y

x=-2y

Step-by-step explanation:

What is the missing number that will complete the
factorization?
6
8
12
24

Answers

Answer:

6

Step-by-step explanation:

6xa is 6a, just like how 2xa is 2a as shown

The answer would is 6

When the two crews start working together, what part of all
the garbage bins will the first garbage truck empty?
The crew of a garbage truck takes 5 hours to empty all the
bins in one neighborhood on pickup day. The city assigned
a second garbage truck to this neighborhood. During their
training, it took the crew from the second truck 8 hours to
empty all the bins.
0.6
0.5
0.7
Time
(hours)
t
Part of Bins
Emptied
Rate
(part/hour)
1
5
0.4
First Truck
500
(9
1
t
Second
Truck
1
8
8​

Answers

This question is not properly written

Complete Question

When the two crews start working together, what part of all

the garbage bins will the first garbage truck empty?

The crew of a garbage truck takes 5 hours to empty all the bins in one neighborhood on pickup day. The city assigned a second garbage truck to this neighborhood. During their training, it took the crew from the second truck 8 hours to empty all the bins.

Options

• 0.6

• 0.5

• 0.7

Answer:

0.6

Step-by-step explanation:

Let us say that the total hours worked by both trucks = t hours

Number of hours worked by first truck = 5 hours

Number of hours worked by second truck = 8 hours

Let 1 =  total number of bins.

For the 1st truck the rate at which work was carried out is

(1 ) ÷ (5 ) = 1/5

For the 1st truck the rate at which work was carried out is

( 1 ) ÷ (8 ) = 1/8

Then,

(1/5 + 1/8) × t =1

(1/5 + 1/8) × t= 1

(13/40)t = 1

t = 1÷ 13/40

t = 1× 40/13

t = 40/13 hours.

Hence, the total hours worked by both trucks = 40/13 hours

the part of all

the garbage bins that the first garbage truck will empty is calculated as:

1/5 × 40/13 hr

1/5 × 40/13

= 0.6153846154

Approximately = 0.6

Therefore, when the two crews start working together, the part of all

the garbage bins that the first garbage truck will empty is 0.6 of the total work done.

Answer:

A) 0.6

Step-by-step explanation:

HELP ASAP!

A health insurance provider had net incomes of $356 million, $460 million and -$166 million in 3 consecutive years. What was the health provider's total net income for these three years?

Answers

Step-by-step explanation:

The total income would be $650 million.

multiply: (sqrt10 +2 sqrt8)(sqrt10-2 sqrt8)

Answers

Answer:

(√10 +2√8)(√10 -2√8)=

(10 -8√5 + 8√5 -32)

10+0-32

10-32

= -22

Hope this helps.

Answer:

The other person is right, A. -22

Step-by-step explanation:

What reason allows the following statement to be true?
Given AB + CD = JK and CD = 5, then AB + 5 = JK​

Answers

Answer: Subtituting CD =5 in AB + CD = JK

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

• AB + CD = JK (equation 1 )

• CD = 5 (equation 2)

So, we simply have to combine the equations.

Substituting CD =5 in equation 1:

AB + CD = JK

AB+(5) =JK

Feel free to ask for more if needed or if you did not understand something.  

If you awnser this correctly I will give you more points​

Answers

Answer:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

Step-by-step explanation:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

2) 12/2+7

6+7

13

3) 8y-(22)

Terms, 8y, 22

Operation, Subtraction

Word Expression, 22 less than the product of 8 and y.

Answer:

number 2 is 13       and      number 3 is-2.75

Step-by-step explanation:

-2.75

Solve this inequality.
7x + 2 > 30
A.x 224
B.x > 196
C.x 4
D.x > 3​

Answers

Answer:

x > 4

Step-by-step explanation:

7x + 2 > 30

Subtract 2 from each side

7x + 2-2 > 30-2

7x > 28

Divide each side by 7

7x/7 > 28/7

x > 4

Answer:

it is c

Step-by-step explanation:

John received 3 detentions in the fourth quarter. He received 4 other
detentions for 1st and 2nd quarters combined. He received 12 for the
whole school year so how many detentions did he receive in the 3rd
quarter?

Answers

Answer:

5

Step-by-step explanation:

12 - (3+4)

12 - 7

12 - 7 = 5

5

Answer:

5

Step-by-step explanation:

12 - (3 + 4)

12 - 7

12 - 7 = 5

An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model the quail population.

Answers

y=895•1.07^x Y is the population of quails and X is the amount of years that have passed.

What similarity property, if any, can be used to show that the following two triangles are similar

A. Not enough information given

B. AA

C. SAS

D. SSS

Please answer this

Answers

I think it’s SAS maybe

Which of the lines below is a line of symmetry?
A. Neither
B. Red
C. Yellow
D. Both

Answers

Answer:

d, both

Step-by-step explanation:

both separe two identical halves :)

Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

What is Coordinate System?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.

In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.

Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.

To learn more on Coordinate system click:

https://brainly.com/question/30241634

#SPJ5

Find the areas of the trapezoids.

Answers

Answer:

30 square units

Step-by-step explanation:

i did this problem before.

The answer is 12. Since the scaling factor is 2 you have to multiply all the squares by two. And if you find the area using a scaling factor of one you get 6

what does it mean that the fan data are numerical and univariate?

Answers

Answer:

The fact that the data is univariate means that there is only one variable – age, and the fact the data is numerical means it involves numbers – age.

I'm doing the test and this is what I put for my answer

Which expression is equal to (−3x2−2)(4x2+1)? −12x4−11x2−2 −12x4−5x2−2 −12x2−11x−2 12x4−11x2−2

Answers

Answer:

[tex]-12x^4-11x^2-2[/tex]

Explanation:

Step 1 - Expand

[tex](-3x^2-2)(4x^2+1)[/tex]

[tex]-12x^4-3x^2-8x^2-2[/tex]

Step 2 - Combine like terms

[tex]-12x^4-3x^2-8x^2-2[/tex]

[tex]-12x^4-11x^2-2[/tex]

Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].

Answer:

On Edge, the answer is D. 31x2 – 2.

Find distance of each

Answers

Answer:

4

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4

Answer: The distance of this segment is 4 units

Step-by-step explanation:

Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:

d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²

We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.

d = √((-5) - (-1))² + ((-4) - (-4))²

d = √(-4)² + (0)²

d = √16 + 0

d = √16

d = 4

This furthermore proves that the distance between the two segments is 4.

Hope this helps! :)

8 - n = -4 what does N equal

Answers

Answer:

Make N alone

There is an 8 so we subtract 8 from both sides so the equation is still equal

-4 - 8 = -12

Because we are subtracting N it is positive

N = 12

8 - 12 = -4

Hope this helps

Step-by-step explanation:

True or False?
When multiplying powers with the same base, you subtract the exponents. When dividing powers with the same base, you multiply the exponents. When raising a power to a power, you divide the exponents? EXPLAIN YOUR REASONING

Answers

Answer:

False

Step-by-step explanation:

(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents

(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents

(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents

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