The planet Mars has a radius of 3400 km. What is the volume of Mars?

Write your answer in scientific notation to three decimal places.

Answers

Answer 1

Answer:

1.646×10¹¹ km³.

Step-by-step explanation:

From the question given, we obtained the following information:

Radius (r) = 3400 km

Volume (V) =.?

The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:

Radius (r) = 3400 km

Pi (π) = 3.14

Volume (V) =.?

Volume of a sphere = 4/3 πr³

V = 4/3 × 3.14 × (3400)³

V = 4/3 × 3.14 × 3.9304×10¹⁰

V = 1.646×10¹¹ km³

From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³


Related Questions

A school installs a ramp that will rest on a landing 2 feet high. The ramp is 24 feet long. According to building code, the ramp must not be greater than a 5° angle with the ground. What is the angle formed from the ground? Is the school in compliance with the building code? Group of answer choices

85degree; no


3degree; yes


5degree; yes


8degree; no

Answers

Hey there! I'm happy to help!

Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.

[tex]sin^-^1(2/24)=4.780191847....[/tex]

This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.

Have a wonderful day! :D

answer please thank you . Make her you like !

Answers

Answer34.4

Step-by-step explanation:

Can someone give me the answer

Answers

Answer:

You earned 260$ before they taxed

Simplify
a(2a - 3) + 6(a - 0.5) - (2a^2 - 5)

Answers

Answer:

The answer to your question is 3a+2

Answer:

3a +2

Step-by-step explanation:

a(2a -3) +6(a -0.5) -(2a^2 -5)

rewrite to all show terms and operations:

a * (2a -3) + 6 * (a - 0.5) -1 * (2a^2 -5)

distribute:

2a^2 -3a +6a -3 -2a^2 +5

combine like terms:

-3a +6a -3 +5

3a+2


1. What percent of 29 is 3?

Answers

Answer:

0.34%

Step-by-step explanation:

1. Start by representing the percentage with the variable, x %. Using x%, create an algebraic expression.

    29% X x = 3

2. Solve for x by dividing both sides by 29.

   29x divided by 29 =3 divided by 29.

             x=0.1034

3.Convert 0.1034 into a percentage by multiplying the decimal by 100%

             X =0.1034 x 100%

                  x=10.34%

A manufacturer of bulbs for movie projectors finds that the lives of the bulbs are normally distributed with a mean of 61 hours and a standard deviation of 6.3 hours. The manufacturer will guarantee the bulbs so that only 3% will be replaced because of failure before the guaranteed number of hours. For how many hours should the bulbs be guaranteed?

Answers

Answer:

49.2 hours

Step-by-step explanation:

Use a chart or calculator to find the z-score associated with the probability.

P(Z < z) = 0.03

z = -1.88

Now find the x value.

z = (x − μ) / σ

-1.88 = (x − 61) / 6.3

x = 49.2

Please I really need help

Answers

Answer:

Answer 1: 1

Answer 2: 11

Answer 3: 5

by adding answers from 1 ,2 and 3

we get,

Answer 4: 17

The ordered pairs in the table below represent a linear function. What’s the slope of the function?

Answers

Answer:

The slope is 2

Step-by-step explanation:

Using slope formula (y2-y1)/(x2-x1):

(8-2)/(9-6)

(6)/3

2

Answer:

3

Step-by-step explanation: took test edge

21
Find an equation of the line containing the given pair of points.
(4,5) and (12,8)

Answers

The answer is 8y=3x+28

The table shown below displays the distance that students on a track team walked during after-school practice.
Student
Distance (Miles)
John
2.75
Paul
2
Sierra
1.4
Anastasia
31
What was the total distance, in miles, that the students walked during after-school practice?

Answers

The total distance should be: 37.15 miles

Explanation:

You just add all of the distances together:
• 2.75 + 2 + 1.4 + 31= 37.15 miles


Anastasia's distance is much different than the others so in case you meant to put 3.1 here is the answer to that:
• 2.75 + 2 + 1.4 + 3.1= 9.25 miles

Melissa used her credit card to buy a $745 refrigerator. She kept the refrigerator for exactly nine years, during which time it consumed an average of $0.19 of electricity every day. Melissa’s credit card has an APR of 16.84%, compounded monthly. Melissa paid off her refrigerator by making identical monthly payments for four years. If she made no other purchases with her card, what percentage of the lifetime cost of the refrigerator did the electricity make up? (Assume that two of the years were leap years, and round all dollar values to the nearest cent.) a. 59.17% b. 18.48% c. 66.99% d. 37.77%

Answers

Answer:

37.77

Step-by-step explanation:

P= PV x i / 1- (1+i)^-n

PV = 745

I = .1684 / 12 = .01403

N = 4 x 12 = 48

.19 x (365 x 9) = 624.53

21.4338469 x 48= 1028.12

624.53 / (624.53+1028.12) = 37.77

The  percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.

Percentage of the lifetime cost

Using this formula

P= Pv x i / 1- (1+i)^-n

Where:

Present value = 745

Interest= .1684 / 12 = .01403

Number of months = 4 x 12 = 48

Hence:

Percentage=.19 x (365 x 9)/(.19 x (365 x 9)+(21.4338469 x 48)

Percentage=624.53 / (624.53+1028.12)

Percentage= 37.77%

Inconclusion the  percentage of the lifetime cost of the refrigerator did the electricity make up is : d. 37.77%.

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You're making dessert, but your recipe needs adjustment. Your peanut butter cookie recipe makes 2 dozen cookies, but you need 3 dozen cookies. If the recipe requires 134 cups of sugar, 14 teaspoon of salt, and 113 cups of peanuts, how much of each of these ingredients are necessary for 3 dozen cookies? Simplify your answer.

Answers

3 dozen cookies require 201 cups of sugar, 21 teaspoon of salt, and 169.5 cups of peanuts.

Equation

An equation is an expression that is used to show the relationship between two or more variables and numbers.

2 dozen cookies require 134 cups of sugar, 14 teaspoon of salt, and 113 cups of peanuts.

Hence for 3 dozen cookies:

Amount of sugar = (134)/2 * 3 = 201

Amount of salt = (14)/2 * 3 = 21

Amount of peanuts = (113)/2 * 3 = 169.5

3 dozen cookies require 201 cups of sugar, 21 teaspoon of salt, and 169.5 cups of peanuts.

Find out more on Equation at: https://brainly.com/question/2972832

Need help please I will give brainliest

Answers

Answer:

i believe your answer would be 5 and 3, FD

Step-by-step explanation:

Aubrey's car used 4 gallons to travel 100 miles. How many miles can the car go on one gallon of gas?

Answers

Answer: 25 miles

Step-by-step explanation:

Divide total miles by total gallons.

100 / 4= 25 miles per gallon

Answer the questions below.
2.
(a) The area of a rectangular parking lot is 6370 m
If the width of the parking lot is 65 m, what is its length?

Answers

The length = 98 because 6370 divided by 65 is 98

What is the domain and range of the coordinates
shown below?
{(11, -3), (2,-2), (2.0), (6,2), (18,4)}

Answers

Domain:11,2,6,18
Range:-3,-2,0,2,4

Find two consecutive integers whose product is 12.

Answers

Answer:

3 and 4

Step-by-step explanation:

The answer is 3 and 4 because consecutive means one more than the previous number. Therefore, 3 + 1 = 4

Also, 3*4 = 12

Hope this helps!

Find the volume of a cylinder with the height 25cm and radius 5cm

Answers

Answer:

= 1963.5cm³

Step-by-step explanation:

radius=5

height=25

V=πr2h=π·52·25≈ 1963.49541cm³

Please help!!! I would like an explanation along with your answer. Thanks

Answers

Answer:

11.2 feet

Step-by-step explanation:

The two furthest corners of the bed are at (8, 6) and (5, 10).  To determine which is the furthest from the origin, use the distance formula.

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((8 − 0)² + (6 − 0)²)

d = 10

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((5 − 0)² + (10 − 0)²)

d = 5√5

d ≈ 11.2

Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.

Find the coordinates of Rif Q(-1, 3) is the midpoint of PR and P has

coordinates of (5, 6)

Answers

Answer:

R(-7,0)

Step-by-step explanation:

Let the midpoint of PR be Q(-1,3) where P is (5,6). To get the other coordinate R, we will use the midpoint formula as shown;

Q(X,Y) = {(x₁+x₂)/2, (y₁+y₂)/2}

From the formula;

X = (x₁+x₂)/2 and Y = (y₁+y₂)/2

From the coordinates given, X = -1, Y = 3, x₁ = 5 and y₁ = 6. To get x₂ and y₂, we will substitute the given points into the expressions above;

To get  x₂;

X = (x₁+x₂)/2

-1 = (5+x₂)/2

cross multiply

-1*2 = 5+x₂

-2 = 5+x₂

subtract 5 from both sides

-2-5 = 5+x₂-5

x₂ = -7

Similarly to get y₂

Y = (y₁+y₂)/2

3 = (6+y₂)/2

cross multiply

3*2 = 6+y₂

6 = 6+y₂

subtract 6 from both sides

6-6 = 6+y₂-6

y₂ = 0

Hence the coordinate of R(x₂, y₂) is (-7,0)

Help me please thanks

Answers

Answer: B. M= 6

Step-by-step explanation:

4(6-1)-5=2(6)+3

The first part of the equation, 4(6-1)-5, 6-1 is 5 and then you multiply that 5 by 4 and get 20, and subtract 5 from 20 and get 15. The second part, 2(6)+3, 6 x 2 is 12 and then you add 3 which equals 15. 15=15 so the answer is correct

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

Answers

Area of triangle = 1/2 × b × h

b = base and h = height

Area = 1/2 × (x+4) × (2)

Area = x + 4

Area of rectangle = lb

l = Length and b = Breadth

Area = 10 (x + 2)

Area = 10x + 20

Given:

The area of rectangle is 8 times greater than the area of the triangle.

Solution:

According to the question,

10x + 20 = 8(x+4)

or, 10x + 20 = 8x + 32

or, 10x - 8x = 32 - 20

or, 2x = 12

or, x = 12/2 = 6

Answer:

The value of x is 6.

Hence, Option D. 6 is correct.

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                             = 10 *(x +2)

                             = 10*x + 10*2

                             = 10x + 20   unit²

Area of triangle = [tex]\frac{1}{2}bh[/tex]

                          [tex]=\frac{1}{2}*2*(x +4)\\\\=1*(x+4)\\\\= x +4[/tex]

Area of rectangle  = 8*area of triangle

10x + 20 = 8* (x+ 4)

10x + 20 = 8x + 32           {Subrtact 20 from both sides}

        10x = 8x + 32 - 20

        10x = 8x + 12   {subtract 8x form both sides}

  10x - 8x = 12

         2x = 12     {divide both sides by 2}

      2x/2 = 12/2

          x = 6

what is 293+678 bc I need help

Answers

Answer:

971

Step-by-step explanation:

All we need to do is add.

293 + 678

971

Best of Luck!

Answer:

68+1

Step-by-step explanation:

7+3*5-4*2 what is the answer

Answers

Answer:

[tex]\boxed{14}[/tex]

Step-by-step explanation:

→ Remember multiplication occurs first

[tex]7+3*5-4*2=7+15-8[/tex]

→ Simplify the remaining expression

[tex]7+15-8=22-8=14[/tex]

Which interval for the graphed function has a local
minimum of 0?

[-3, -2]
[-2, 0]
[1, 2]
[2, 4]

Answers

Answer:

the answer is D i hope this help

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

7. Find all values of x, where
IxI=1/3

Answers

Answer:

[tex]x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\left|x\right|=\frac{1}{3}\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]

What is the simplified value of the expression below rounded to the nearest hundredth? StartFraction 3.5 times 2 + 9 over 10.4 minus 1.4 times 2 EndFraction 0.28 0.89 1.91 2.11

Answers

Answer:

The answer is 2.11~! I hope I helped <3

Step-by-step explanation:

3.5x2=7   7+9=16   1.4x2=2.8   10.4-2.8=7.6   16/7.6=2.10526315789

but we simplify so, 2.10526315789 rounded to the nearest hundredth is 2.11~!

 

Answer:

2.11

Step-by-step explanation:

I got it correct on the test

Fill in the formula: The sum of the natural numbers from m to n is equal to…

Answers

Answer:

any sum of the form m+n′, either n′ is equal to 0, in which case the first clause applies, and the sum can be evaluated immediately, or n′ is the successor s(n) of some natural number n, in which case the second clause applies, and we can compute the sum in terms of a strictly simpler sum.

Step-by-step explanation:

I hope that helps

S=c+g for g (help)!!!!!

Answers

Answer:

g = S - c

Step-by-step explanation:

Isolate the variable, g. Note the equal sign, what you do to one side, you do to the other. Simply subtract c from both sides:

S = g + c

S (-c) = g + c (-c)

S - c = g

g = S - c is your answer.

~

Find the terminal point on the unit circle determined by pi radians.

Use exact values, not decimal approximations.

Answers

The terminal point on the unit circle determined by π radians is (-1, 0).

To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.

The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).

Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:

x = cos(π) = -1

y = sin(π) = 0

The terminal point on the unit circle determined by π radians is (-1, 0).

It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.

By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.

For more such questions on terminal point on the unit circle

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