If the radius of a sphere is halved, what happens to the volume of the sphere? Use your algebra skille te develop a formula for the reduced sphere, V, in terms of V.​

Answers

Answer 1

Answer:

V₂ = V₁ / 8

Step-by-step explanation:

Volume of sphere with radius of 6 = 288π

Volume of sphere with radius of 3 = 36π

the difference in volume after radius is halved is reduced 8 times so formula could be:

V (when radius is halved) = prior volume ÷ 8

V₂ = V₁ / 8


Related Questions

Can you solve this problem

Answers

Answer:

x = 18

Step-by-step explanation:

8 x 18 - 3 = 141

The answer is to your question is 18

Calculate the area of the following Circle

Answers

Answer:

324

Step-by-step explanation:

Circles are 100% even. If you add another line going opposite direction you would multiply 18x18. You get 324.

What is the value of the expression 3m-4.2 If m equals 2.1

Answers

Answer:

2.1

Step-by-step explanation:

Given :

3m-4.2 where, m=2.1

Now,

3(2.1)-4.2

6.3-4.2

2.1

Answer is 2.1

Can someone answer with steps and explanation? Thanks.

Answers

Answer:

[tex]x=-16\text{ or } x=7[/tex]

Step-by-step explanation:

Since ΔABC is mapped onto ΔDEF, we can write that:

[tex]\Delta ABC\cong \Delta DE F[/tex]

By CPCTC:

[tex]\angle A\cong \angle D[/tex]

And since ΔABC is isosceles with Vertex C:

[tex]\angle A \cong \angle B[/tex]

We are given that:

[tex]m\angle D=34[/tex]

Hence:

[tex]m\angle A=34=m\angle B[/tex]

We are also given that:

[tex]m\angle C=x^2+9x[/tex]

The interior angles of a triangle must sum to 180°. Thus:

[tex]m\angle A+m\angle B+m\angle C=180[/tex]

Substitute:

[tex](34)+(34)+(x^2+9x)=180[/tex]

Simplify:

[tex]68+x^2+9x=180[/tex]

Isolate the equation:

[tex]x^2+9x-112=0[/tex]

Factor:

[tex](x+16)(x-7)=0[/tex]

Zero Product Property:

[tex]x+16=0\text{ or } x-7=0[/tex]

Solve for each case:

[tex]x=-16\text{ or } x=7[/tex]

Testing the solutions, we can see that both yields C = 112°.

Hence, our solutions are:

[tex]x=-16\text{ or } x=7[/tex]

What are the values of A, B, C, and D?
A = 0; B = 1; C = -3; D = 3
A = 0; B = 1; C = 3; D = -3
A = 1; B = 0; C = -3; D = 3
A = 1; B = 0; C = 3; D = -3
Don’t know real answer

Answers

A=1;b=0;c=3 d=23234422

The values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3

How to solve for A, B, C and D?

From the question, we have:

x^3 + 8x - 3 = Ax^3 + 5Ax + Bx^2 + 5B + Cx + D

Collect like terms

x^3 + 8x - 3 = Ax^3 + Bx^2 + 5Ax  + Cx + 5B + D

By comparing the coefficients, we have:

Ax^3 = x^3

Bx^2 = 0

5Ax + Cx = 8x

5B + D = -3

Remove the x factors

A = 1

B = 0

5A + C = 8

5B + D = -3

Substitute A = 1 in 5A + C = 8

5(1) + C = 8

Solve for C

C = 3

Substitute B = 0 in 5B + D = -3

5(0) + D = -3

Solve for B

D = -3

Hence, the values of A, B, C and D are (d) A = 1, B = 0, C = 3 and D = -3

Read more about partial fractions at:https://brainly.com/question/18958301

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PLEASE HELP ASAP For each expression below, select the letter that corresponds to the equivalent expression from the given list.
(4x^3 – 4 + 7x) – (2x^3- 8)
is equivalent to expression___
(-3x^2 + x^4 + x) + (2x^4 - 7 + 4x) is equivalent to expression ____
(12 – 2x)(2x + 3) is equivalent to expression___

The blanks are for the letters in the picture

Answers

BAnswer:

B-D-A

Step-by-step explanation:

-

I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY FIRST

Answers

Answer:

2 liter = 2000 ml

2000/250 = 8 bottles                                                                                             Step-by-step explanation:

The labelled quantity has been rounded to the nearest ml
The actual quantity will be between 249.5000 and 250.4999 (7 sf)
This can also be written as 249.5 <= x < 250.5
Or as the interval [249.5, 250.5) which means from 249.5 (including 249.5) to 250.5 (excluding 250.5)
If the quantity was 250.5 it would round up to 251.


Learning Task 1: Conduct a survey of the favorite fruit of your classmates and/or friends 10 boys and 10 girls by
sending them messages on messenger or SMS. Use the table to record the data.
Favorite Fruit of My Classmate and Friends
Tally
Fruits
Boys
Girls
1. pineapples
2. ripe mangoes
3. rambutan
4. lansones
5. buko
Answer the following questions:
1. What is the set of data all about?
2. Which fruit is the favorite among the girls Boys
3. What is the least favorite fruit among the girls Boys
4. What is the top choice fruit of both girls and boys
5. What is the least favorite fruit of both boys and girls​

Answers

Answer:

1 Its all about there favorite fruits

2 the favorite fruits of the girls are buko less than the boys.

3 the least fruit favorite fruits is pineapple among the girls boys.

4 the top choice of the fruit is the lansones both girls and boys.

5 the rambutan is the least favorite both of them

Step-by-step explanation:

Hope its help po pa brainlest

Answer:

girl

-apple

-masanas

boy

-lansones

-rambotan

sorry yan lang alam ko

An educational psychologist wondered whether there was a relationship between the amount of academic pressure a high school student felt and their plans for college. They surveyed a random sample of 300 high school students throughout the country about their college plans and whether they felt academic pressure. Here are the responses and partial results of a chi-square test (expected counts appear below observed counts):
Chi-square test:
Planned years of college vs. feeling academic pressure now
O years Up to 4 years Up to 4 years More than 4 years Total
Yes 31 48 161 240
31.2 48 160.8
No 8 12 40 60
7.8 12 40.2
Total 39 60 201 300
They want to use these results to carry out a xạ test of independence. Assume that all conditions for inference were met. What are the values of the test statistic and P-value for their test?
What are the values of the test statistic and P-value for their test?
A. x² = 0.002;
0.001 < P-value < 0.0025
B. x² = 0.002;
P-value > 0.25
C. x² = 0.007;
0.005 < P-value < 0.01
D. x² = 0.007;
P-value > 0.25

Answers

Answer:

D. x² = 0.007;

P-value > 0.25

Step-by-step explanation:

The observed and expected values are given below :

Yes____31 48 161 ____240

______31.2 48 160.8

No ____ 8 12 40_____ 60

______7.8 12 40.2

Total __ 39 60 201 ___300

The Chisquare statistic, χ²:

Σ(Observed - Expected)²/ Expected

Chi-Squared Values:

0.00128205 __ 0 __ 0.000248756

0.00512821 __ 0 __ 0.000995025

(0.00128205 + 0 + 0.000248756 + 0.00512821 + 0 + 0.000995025 )

= 0.007654041

The degree of freedom = (row - 1) * (column - 1)

Degree of freedom = (2-1)*(3-1) = 1*2= 2

The Pvalue = 0.9962

Pvalue > 0.25

Convex angles help me

Answers

Answer:

C, D, F

Step-by-step explanation:

Shape A is not a polygon; it has a line that doesn't connect anywhere. Even if it is a polygon, it would be concave. Shape B is a concave polygon, shape E is also a concave polygon, shape G and H are also concave polygons. Only shapes C, D, and F are convex polygons. Concave polygons are shapes that cave in, and convex polygons are caves that don't cave in.

Solve the equation for x in terms of c.
2/3(cx+1/2)-1/4=5/2

Answers

Answer:

Step-by-step explanation:

The answer you have chosen is not correct. Let's walk through the simplification process, shall we?

Begin by adding over the 1/4, after you find the common denominator, that is. 5/2 with a denominator of 4 is 10/4:

[tex]\frac{2}{3}(cx+\frac{1}{2})=\frac{11}{4}[/tex] and then multiply both sides by the reciprocal of 2/3:

[tex]cx+\frac{1}{2}=\frac{33}{8}[/tex] then subtract the 1/2 in the form of 4/8 (common denominator and all...) to get

[tex]cx=\frac{29}{8}[/tex] and finally divide both sides by c to get

[tex]x=\frac{29}{8c}[/tex]  That's choice C.

what'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS​

Answers

Answer:

5

Step-by-step explanation:

5 l 25,55

   l 5,11

Stats question what are the main difference between frequenting and Bayesian

Answers

Answer:

The frequentist believes that probability represents long term frequencies of repeatable events (such a flipping a coin). Frequentists do not attach probabilities to hypotheses or unknown values. On the other hand, the Bayesian approach uses probabilities to represent the uncertainty in any event or hypothesis.

HOPE IT HELPS

5 (v+1) -v = 4 (v-1) +9

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

Our goal is to isolate "v" on one side of the equation. Let's do this step by step.

5(v+1)−v=4(v−1)+9

Step 1: Simplify both sides of the equation.

5(v + 1) − v = 4(v−1) + 9

(5)(v) + (5)(1) + −v = (4)(v) + (4)(−1) + 9(Distribute)

5v + 5 + −v = 4v + −4 + 9

(5v + −v) +(5) = (4v) + (−4 + 9) (Combine Like Terms)

4v + 5 = 4v + 5

4v + 5 = 4v + 5

Step 2: Subtract 4v from both sides.

4v + 5 − 4v = 4v + 5 − 4v

5 = 5

Step 3: Subtract 5 from both sides.

5 − 5 = 5 − 5

0 = 0

This means that all real numbers are solutions.

Any real number could be "v."

Hope this helps, please mark brainliest if possible. Have a great day.

Answer:

All numbers are solutions

Step-by-step explanation:

A rectangular Carrer has a perimeter of 240cm breadth of 50cm.What is it's length

Answers

Step-by-step explanation:

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:

Perimeter of Rectangle = 2 × Length + 2 × Breadth

The perimeter can be represented using a model as below.

Perimeter = Length + Breadth + Length + Breadth

= 2 × Length + 2 × Breadth

Length + Breadth = Perimeter ÷ 2

Is 9/54 equivalent to 1/3

Answers

Answer: No.

Step-by-step explanation:

9/54 is equal to 1/6

Answer:

no, it is not

Step-by-step explanation:

9/54 can be simplified by dividing both sides by 3, getting 3/18. you can do this again and get 1/6. significantly smaller that l/3

You are working as an office apprentice for the bksb Newcastle Arena. You are helping collect a customer satisfaction survey for the arena. Enter the following replies into the table below.

Answers

Answer:

Step-by-step explanation:

xác định m để 3 vector sau đây phụ thuộc tuyến tính
u=(m+1,1,m+1),v=(1,1,1),u(2,0,m+2



0

Answers

Answer:

i dont know hahaha

Step-by-step explanation:

soryy

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of elevation to the top of the dam from a point 155 feet farther down river is 0.9 radi- ans; assume the two angle measurements are taken at the same elevation above sea level. How high is the dam?

Answers

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

Question 7(Multiple Choice Worth 1 points)
(02.08 LC)
To follow appropriate safety procedures, what should soccer players wear?
Goggles
Helmets
Mouth pieces
Shin guards

Answers

Answer:

The answer is Mouth pieces

The piece of safety equipment that should be worn when painting a ceiling is safety goggles. The correct option is c.

What are safety goggles?

Safety goggles are worn on the eyes. They are worn to get safety from sun, wind, and dust. If we work in a factory or some mechanical work, then goggles are must save eyes.

Here, we have,

When working with the ceiling, it has a chance to damage your eyes with the plaster and paint, so wearing safety goggles is necessary.

Thus, the correct option is c. safety goggles, in regard to being worn when painting a ceiling.

Learn more about safety goggles, here:

brainly.com/question/17225935

#SPJ2

Complete question:

Which of these pieces of safety equipment should be worn when painting a ceiling

a knee guards

b helmet

c safety goggles

d mouth guard

Receipt-of-goods discounts tend to be offered in cases where?​

Answers

The invoice is enclosed with the goods and arrives at the time that they do

Bạn dự định một năm nữa kể từ hôm nay, bạn sẽ mở một tài khoản tiết kiệm 100 triệu đồng với lãi suất niêm yết của ngân hàng là 8%/ năm
a, Nếu bạn chia tài khoản tiền gửi 100 triệu đônbf ghành 5 tài khoản tiền bằng nhau, mỗi tài khoản 20 triệu đồng để gửi vào cuối năm 1,2,3,4 và 5 thì số dư tài khoản tiền gửi của bạn sẽ là bao nhiêu vào cuối năm thứ 5, với lãi suất 8%/năm và ghép lãi hằng năm ?

Answers

Answer:

Sorry dont understand

Which ordered pair is a solution to the system of inequalities graphed here?
A. (1-2)
B. (-3,3)
C. (-2, 6)
D. (1.4)

Answers

Answer:

A. (1-2)

Step-by-step explanation:

I got it right on the exam

A. (1-2) hehehehe byeeeeeee

in an examination 45% students passed in science only 25% passed in english only and 5% students failed in both subjects if 200 students passed in english find the total number of students by using venn diagram​

Answers

Step-by-step explanation:

[tex]\huge\mathfrak\pink{Answer}[/tex]

Total number of students= y

(25/100) xy= 200

25 xy = 200 x 100

25y 20000

y = 20000/25

y 800

total number of students = 800

Step-by-step explanation:

[tex]\mathfrak\pink{Answer}[/tex]

Total number of students= y

(25/100) xy= 200

25 xy = 200 x 100

25y 20000

y = 20000/25

y 800

total number of students = 800

i need to see the steps for simplifying 3(m-5)+m​

Answers

Answer:

4m - 15

Step-by-step explanation:

a( x + y) = ax + ay

[tex]3( m - 5 ) + m\\\\3m - 15 + m \\\\4m - 15[/tex]

Answer:

4m-15

Step-by-step explanation:

Distrubite 3 through the parentheisis

3m-15+m

Collect like terms

4m-15

Consider the expression 63+81 how can you use the distributive property and the gcf to find an equivalent expression?explain how you can check your answer

Answers

Step-by-step explanation:

63+81

gcf = 9

63÷9=7, 81÷9=9

so, 63+81 = (9×7)+(9×9)

= 9×(7+9)

63+81 = 144

9x(7+9) = 9×16 = 144

4(x+9)=8x-7
Solve for x

Answers

Answer:

x = 10.75

Step-by-step explanation:

4(x+9)=8x-7

Step 1: Distribute the 4 to the x and 9

4 * x = 4x

4 * 9 = 36

We now have 4x + 36 = 8x - 7

Step 2: add 7 to both sides

36 + 7 = 43

-7 + 7 cancels out

We now have 4x + 43 = 8x

Step 3 subtract 4x from both sides

4x - 4x cancels out

8x - 4x = 4x

We now have 4x = 43

step 4 divide both sides by 4

4x / 4 ( the 4s cancel out and we're left with x )

43/4 = 10.75

We're left with x = 10.75

seventy four lakh nine thousand eleven in numeral form​

Answers

Seventy Four Lakh , Nine Thousand And Eleven=

7409011

I need help k please help gardinuhola

Answers

Answer:

Step-by-step explanation:

for circle

diameter = 26 cm

radius = diamtere/2

=26/2

=13 cm

area of circle  = πr^2

=3.14^13^2

=3.14*169

=530.66 cm^2

=531 cm^2   (after round off )

area of square= l^2

=5.1^2

=26.01 mi^2

are of rectangle = l *b

=6*5.1

=30.6 m^2

area of triangle = base*height / 2

=9*6.4 / 2

=57.6 / 2

=28.8 yd^2

On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4?

Answers

y = mx + c

m = gradient

gradient of line:
[5 - (-3)]/[(-1) - (-3)]
= 8/2
= 4

y = mx + c
subsitute (4, 0)
0 = (4)(4) + c
0 = 16 + c
c = -16

equation of the line:

y = 4x - 16

hope this helped :)



Answer:

4, -16

Step-by-step explanation:

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