The volume of a sphere can be determined by the formula V = 4/3 πr^3, where r is the radius. What is the volume of a sphere with radius 3/2x^3y^–2 in terms of x and y?

Answers

Answer 1

Answer:

[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]

Step-by-step explanation:

Given

[tex]V = \frac{4}{3}\pi r^3[/tex]

Required

Find V when

[tex]r = \frac{3}{2}x^3y^{-2[/tex]

Substitute [tex]\frac{3}{2}x^3y^{-2[/tex] for r in [tex]V = \frac{4}{3}\pi r^3[/tex]

[tex]V = \frac{4}{3}\pi * (\frac{3}{2}x^3y^{-2})^3[/tex]

Open bracket

[tex]V = \frac{4}{3}\pi * \frac{3}{2}^3 * x^{3*3}y^{-2*3}[/tex]

[tex]V = \frac{4}{3}\pi * \frac{27}{8} * x^{9}y^{-6}[/tex]

Simplify the fractions

[tex]V = \pi * \frac{9}{2} * x^{9}y^{-6}[/tex]

Let

[tex]\pi = \frac{22}{7}[/tex]

So:

[tex]V = \frac{22}{7} * \frac{9}{2} * x^{9}y^{-6}[/tex]

[tex]V = \frac{11}{7} * \frac{9}{1} * x^{9}y^{-6}[/tex]

[tex]V = \frac{99}{7} * x^{9}y^{-6}[/tex]

[tex]V = \frac{99}{7} x^{9}y^{-6}[/tex]


Related Questions

Plz help again. I can't do math lol.

Answers

Answer:

Isn't 20x5=100

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{5}{4}\times 20}[/tex]

[tex]\large\text{New equation: }\mathsf{\dfrac{5}{4}\times\dfrac{20}{1}}\\\\\mathsf{5\times20=\bf 100}\\\\\mathsf{4\times1=\bf 4}\\\\\mathsf{\dfrac{100}{4}=\bf 25}\\\\\\\boxed{\boxed{\bf 25}}[/tex]

[tex]\mathsf{\dfrac{5\times20}{4}}\\\\\mathsf{5\times20=\bf 100}\\\\\mathsf{\dfrac{\bf 100}{4}=\bf \underline{25}}\\\\\boxed{\boxed{\bf 25}}[/tex]

[tex]\boxed{\large\text{Answer: \bf 25 = 25}}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\huge\text{Overall answer: \bf 25}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which is the product of 7/9 and 6?
Answers: A 1 4/9
B 3 7,9
C 4 2/3
D 7 5/7

Answers

Answer:

C

Step-by-step explanation:

7/9 x 6 = 4u 6/9

simpify it and you get 4u2/3

hope thus helps :)

If the yellow image was reflected across the y-axis, what would the ordered pair be for point B?

Answers

Answer:

I believe (-7,3) is the answer

Step-by-step explanation:

Answer:

(-7,3)

count from the origin point to where underneath point b is and you have x but since it's on the positive side and you're flipping it make it negative

then count up from that point and you have y, since you're on the positive top half it stays positive

Is one a polygon, two, three?

Answers

Answer:

1 and 2 is and 3 is not

Step-by-step explanation:

1 and 2 is but not 3

dose anyone have r o b l o x

Answers

Answer:

i do my username is EenyMenyOreo

Step-by-step explanation:

Answer:

Yes... lol

Step-by-step explanation:

Why?

Add me: isaaclikesomone

Can someone plz help me I beg u :(

Answers

I think it might be 80 not sure correct me if I am wrong

help with this question

Answers

Answer:

Of members(2) and of phone conversation (1) cuz they had two people and you had to call 1 at a time ☺

solve using the systems of linear inequalities
[tex]4x + y \geqslant 2[/tex]

Answers

The linear inequality for x is x ≥ 1/2-y/4
The linear inequality for y is y ≥ 2-4x

Please please help help me with two questions!!

Answers

Answer:

A. True

B. False

Step-by-step explanation:

1: 30 + 10 = 40 and 8 x 5 = 40 (both match)

2: 75 - 25 = 50 and 5 x 9 = 49 (Doesn't match)

A linear equation with one variable, x, can be solved to show that it has no solutions. Which of the following show that there are no solutions?
select all that apply.
a) x=1
b) x=x
c) 1=1
d) 1=3
e) x=3
f) 0=3​

Answers

Answer:

a,d,e,f

Step-by-step explanation:

X=x, x=3,0=3,all except letter e

which fraction represents 35%

Answers

Answer:

7/20

Step-by-step explanation:

Answer:7/10

Step-by-step explanation:

Here is the way that I think is the simplest method of changing a percentage a fraction. This percentage has two digits in it, so put it over a 1 and two zeros and then simplify. 35/100 is simplified to 7/20.

I need help solving this step by step. Work would be nice so I can look and understand it so I can try a different problem. ​

Answers

Answer:

I need points, sorry, i cant help

Step-by-step explanation:

The price of a gallon of unleaded gas has dropped to $2.83 today. Yesterday's price was $2.89. Find the percentage
decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

$2.90 %Step-by-step explanation:

because if you round it it would be close to 90 and if you mutiply 2 x 2 =4 x 89

What are the coordinates of point D find the slope

Answers

Answer:

D(8, 10 ) , slope = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = C(4, 5) and (x₂, y₂ ) = D(8, 10)

m = [tex]\frac{10-5}{8-4}[/tex] = [tex]\frac{5}{4}[/tex]

Please help meeeeeeeeeeeeeeee

Answers

Answer:

h+9<20

h<20-9

h<11

Option C is your answer

Answer:

its c :)

Step-by-step explanation:

PLEASE HELP MY OUT Solve: -2X + 5 +4X + 9 = 3 (6 + 4X) -12X
Show your work

Answers

Answer:

x=2

Step-by-step explanation:

first we will distribute out everything

-2x +5 +4x+ 9 = 3(6 +4x)- 12x

(multiply 3 to both 6 and 4x)  

-2x +5 +4x+ 9= 18 +12x -12x

then combine like variables on both sides

(add -2x and 4x and add 5 and 9, for the other side add 12x and -12x)

2x+14= 18  

then isolate x

2x=4

x=2

and substitute x for 2 to double check

-2(2)+5+4(2)+9=3(6+4(2))-12(2)

18=18

therefore 2 is correct

Select the correct answer.
The surface area of a cube is 600 square inches. What is the area of one of its faces?
O A 6 square inches
ОВ. 36 square inches
Ос.
75 square inches
OD. 100 square inches

Answers

D. 100 square inches Step-by-step explanation:
As you know, a cube has 6 faces, and each face is a square, and the 6 faces are equal.
then, the total surface area of the cube is equal to 6 times the surface area of one of the faces:
6*f = 600 in^2
then the surface area of one face is:
f = (600/6) in^2 = 100 in^2
Then the correct option is D

Brian rolls a fair dice 12 times. How many times would Brian expect to roll a number greater than 4?

Answers

Brian is expected to roll a number greater than 4, 4 times

How to determine the expected row?

In a fair die, we have:

Faces = 6

Faces greater than 4 = 2 i.e. 5 and 6

So, the probability to roll a number greater than 4 is:

p = 2/6

When the dice is rolled 12 times, the expected value is:

Expected = 2/6 * 12

Evaluate

Expected = 4

Hence, Brian is expected to roll a number greater than 4, 4 times

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ1

Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20-pound mixture. If the mixture is to sell for $5 per pound, how many pounds of the $3 chocolate should be used?

10
8
12

If u know, please help :(

Answers

Answer:

8 is the correct answer i think I'm not really sure

On a coordinate plane, a line goes through points (0, 0) and (1, 3).
Based on the graph, what is the constant of variation?

Answers

Answer:

3 on edge

Step-by-step explanation:

Just did the assignment

The question is in the photo. Please answer with the correct answer.

Answers

Answer:9

Step-by-step explanation:

please help with my math

Answers

Answer:

150 boys

Step-by-step explanation:

equation:

⇒ 5x + 4x = 270

add like terms:

⇒ 9x = 270

divide 9 on both sides:

⇒ [tex]\frac{9x}{9} = \frac{270}{9}[/tex]

solve:

⇒ x = 30

take original equation and subtitute 30 for x;

⇒5 x 30 + 4 x 30 = 270

⇒ 150 + 120 = 270

We can see that if there were 270 students, 150 would be boys and 120 would be girls.

A recipe requires 1/4 cup of foil for every 2/3 cup of water. How much oil (in cups) is needed per cup of water?

Answers

Answer:

3/4

Step-by-step explanation:

if y = 16 when x = 4, find
Y when x = 6

Answers

Y would equal 24 :)

I NEED HELP WITH THIS PLZZZ

Answers

Answer:

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Step-by-step explanation:

x² + y² -2x - 10y + 17 = 0

Find the center and radius of this circle

We have the equation

x² + y² -2x - 10y + 17 = 0

We collect like terms

x² - 2x + y² - 10y = -17

x² - 2x + (-2/2)² + y² - 10y + (-10/2)² = -17 + (-2/2)² + (-10/2)²

The center of the circle is point: C=(1,5).

The radius of the circle is r=3.

Help Plz
Will mark brainliest

Answers

Answer:

x=12

Step-by-step explanation:

Before starting this question, you need to know that the total degree of any given triangle is 180 degrees.

Now looking at the question, we know one side is 90 degree since it is a right triangle.

180-90=90

This let us know that the remaining two angles will have to add up to equal to 90 degrees.

2x+1+5x+5=90

First, combine like terms.

7x+6=90

Now we have to get x by itself, subtract 6 on both sides then divide by 7.

7x=84

x=12

Find the equation of a line that passes through the point (0,1) and has a gradient of 3.
Leave your answer in the form y = mx + c

Answers

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line

On Saturday, Lucas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven? write an expression and simplify it.

Answers

________________________________

Here, Distance covered by Lucas on Saturday

= 4x – 5 miles

Now, Distance covered by Lucas on Sunday

= 3x 10 miles

________________________________

Hence, Difference between the distances

would be /

Distance covered on Saturday Distance covered on Sunday

= (4x – 5) (3x – 10)

= 4x 5 3x + 10

[ Because ( * + = ) And ( * = +) ]

= 4x 3x + 10 5

= 1x 5

= x 5 ( Ans )

Hence, The difference between Distance covered ( In miles ) is ( x 5 ) .

________________________________

GEOMETRY HELP AHH please

Answers

Answer:

c

Step-by-step explanation:

Q3. In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to lift 5000 N.

Answers

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

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