A solid with volume 8 cubic units is dilated by a scale factor of k to obtain a solid with volume V cubic units. Find the value of k which results in an image with each given volume.

a. 216 cubic units

k=

b. 1 cubic unit

k=

c. 1,000 cubic units

k=

Answers

Answer 1

Answer:

a. k = 27

b. k = 216

c. k = 0.216

Step-by-step explanation:

The value of the scale factor can be given by the following formula:

[tex]k = \frac{Final\ Volume}{Initial\ Volume}[/tex]

where,

Initial Volume = 8 cubic units

a.

Final Volume = 216 cubic units

Therefore,

[tex]k = \frac{216\ cubic\ units}{8\ cubic\ units}[/tex]

k = 27

b.

Final Volume = 1 cubic units

Therefore,

[tex]k = \frac{216\ cubic\ units}{1\ cubic\ units}[/tex]

k = 216

c.

Final Volume = 1000 cubic units

Therefore,

[tex]k = \frac{216\ cubic\ units}{1000\ cubic\ units}[/tex]

k = 0.216


Related Questions

Two stores each have the same number of lawn mowers for sale. The lawn mowers at Store A have a median price of $150. The lawn mowers at Store B have a median price of $200.

What can best be inferred from this data?

A. Store A has more expensive lawn mowers.
B. Store B has more expensive lawn mowers.
C. The stores have the same amount of expensive lawn mowers.
D. It is impossible to say which store has more expensive lawn mowers.

Answers

Answer:

Store B has more expensive lawn mowers.

Step-by-step explanation:

The median price is the price in the middle of the possible prices which means that if you double the median price you will get about what the highest price can be.

What can be inferred from the data is store B has more expensive lawn mowers.

What does median mean?

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order. Median is a measure of central tendency.  For example 3 is the median in this dataset: 1, 3, 6

To learn more about median, please check: https://brainly.com/question/14746682

How do I solve these problems?

Answers

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

1.)

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

2.)

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Gcf difference of square (trinomials (xmethod)

Help with math problem

Answers

9514 1404 393

Answer:

  A) difference of squares

  B) GCF

  C) trinomials (X method)

Step-by-step explanation:

When a binomial is a difference of squares, factoring using the "difference of squares" method is appropriate.

The first binomial is ...

  (2x)² -5² . . . . . a difference of squares

  = (2x -5)(2x +5)

__

When the binomial is not a difference of squares, but there is a common factor, then the GCF method is appropriate.

  2x³ -4x² = 2x²(x -2) . . . . . GCF method

__

When the expression is a trinomial, often the X method can work for factoring it.

  x²-5x +6 . . . . 2 numbers are needed that sum to -5 and are factors of 6

  6 = (-2)(-3), so the factorization is (by X method)

  (x -2)(x -3)

Question 8:
Inse
The ratio of boys to girls in the band is 3
to 5. There are 30 boys in the band.
What is the total number of students in
the band?
A.
50
B.
18
N
C. 48
D. 80

Answers

Answer:

50

Step-by-step explanation:

4. Marlisa has 23 seashells in her collection. She collects s more shells during a trip to the beach. Then she doubles the number of seashells in her collection by buying new shells at the souvenir shop Write an expression to find out how many seashells Marlisa has after her visit to the souvenir shop.​

Answers

Answer:

(23*2)+s

Step-by-step explanation:

Answer:

2(23+s)

Yep there ya goo

vector question, please help​

Answers

Answer:

yes.

Step-by-step explanation:

A local high adventure park has a zip line that begins 46 feet in the air. The angle of elevation of the cable is 35º. Estimate the length of

the zip line cable. Round your answer to the nearest hundredth if necessary.

Answers

Answer: [tex]80.2\ ft[/tex]

Step-by-step explanation:

Given

Zipline begins [tex]h=46\ ft[/tex] in the air

The angle of elevation is [tex]35^{\circ}[/tex]

Assume the length of the cable is l

from the figure, we can write

[tex]\Rightarrow \sin 35^{\circ}=\dfrac{46}{l}\\\\\Rightarrow l=\dfrac{46}{\sin 35^{\circ}}\\\\\Rightarrow l=80.19\approx 80.2\ ft[/tex]

plz help me guys
I am not able to prove this question
so anyone who can , plz help me​

Answers

that’s so confusing looking

Need it ASAP
It for math fast as possible

Answers

A=47 b=43 c=90 d=47 e=131 g=131 h=49 I=84 k=84 L=96

how do u do 7 over 4 = 35 over m in solving proportions? plz helppppppppppp

Answers

Answer:

7/4 = 35/20

Step-by-step explanation:

35 = 7 x 5 ; 20 = 4 x 5


How much is the tree worth?

Answers

Answer:

8

Step-by-step explanation:

Deer = snow flake = 4

4 + 4 + 4 = 12

Dear - 3 = 1

Snowman = 1

Tree = 8

8 + 1 (snowman) + 8 = 17

Sales Tax: At the movie theater, a bucket of popcorn costs $8.00 and a soda costs $2.50. How much will you pay in sales tax if the rate is 6%?

Answers

We have to pay $0.63 sales tax if the rate is 6%.

What is the sales tax?

Sales tax is a tax that is added to the price of goods or services when they are sold. It is typically a percentage of the purchase price and is collected by the seller from the buyer.

In this case, the price of the bucket of popcorn is $8.00 and the price of the soda is $2.50. If the sales tax rate is 6%, the total amount of sales tax paid on the popcorn would be $8.00 x 6/100 = $0.48 and on soda is $2.50 x 6/100 = $0.15. So the total amount of sales tax paid on both items is $0.48 + $0.15 = $0.63

Hence, we have to pay $0.63 sales tax if the rate is 6%.

To learn more about sales tax, visit:

https://brainly.com/question/1700984

#SPJ1

Which of the following relations is a function?

a
{(1, 1), (1, 2), (1, 3)}
b
{(0, 0), (0, 1), (1, 2)}
c
{(2,0), (3, 2), (5, 2)}
d
{(3, 1), (4, 1), (3, 2)}

Answers

C is a function. X cannot repeat itself more than once, that will make it not a function. For example 1,1, 1,2, 1,3 x repeats itself 3 times that is NOT a function. Y can repeat itself more than once but X cannot.

Answer:

C is a function

Step-by-step explanation:

For every input in a relation, there should only exist one unique output. For example, in option A, the input 1 has 3 outputs which does not make it a function since they all have to be unique. Additionally, B and D aren't functions for the same reasons. Therefore, C is a function.

Answer for 16 points and possibly a brainliest if correct

Answers

Answer: The answer is the 3rd option.... if not then it’s the fourth! They both seem correct!

Step-by-step explanation:

answer:

d) pick every 10th student who is listed on the student role for the school **you chose the correct answer**

step-by-step explanation:

'd' is the correct answer because it's the best way to survey the most amount of students

:)

!

Is (0,0) a solution to this system?
y > = x^2 - 4
y < 2x-1

Answers

Answer:

no.b

Step-by-step explanation:

it just no bro

HELP PLEASE!
Line 1 is parallel to line 2. Which of the following statements is true?

Answers

Letter J is correct

PLEASE HELP ASAP!! ILL GIVE BRAINLIST!

Answers

B or c not sure so I just would say B because well yeah

PLEASE HELP ME!!!!

(if you don’t know don’t answer)

Answers

Answer:

Here are my answers

hope this helps

Step-by-step explanation:

1. isosceles triangle

2.   3x + 15 = 90       x = 25

     x + 25 = 90        x = 65

     x + 55 = 90        x = 35

3. The size for DAB is 84

My reasoning is I went from one angle to another by subtracting 180 from my answers. For example angle 132 is supplementary to the missing angle next to it. I subtract 180 from 132 and get 48. That already solves the 2 equivalent angles in the triangle so I have 48+48+x = 180 because a full triangle equals 180. I get x = 84 then I do the same thing I did with angle 132. Angle 84 is supplementary to the missing angle next to it. I subtract 84 from 180 and get 96 then go diagonal from angle C (which is 96) to angle A. Those are supplementary so I subtract 96 from 180 and get 84.

Triangle ABC is similar to triangle DEF. What is the value of x ?

Answers

Answer:

A

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AC}{DF}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values

[tex]\frac{45}{x+8}[/tex] = [tex]\frac{30}{25}[/tex] ( cross- multiply )

30(x + 8) = 1125 ( divide both sides by 30 )

x + 8 = 37.5 ( subtract 8 from both sides )

x = 29.5 → A

Find the zeros of the function below, algebraically.

f(x)=(x-2)^2-64

Please show how you got answer and explain :D

Answers

Answer:

x=10 and x=-6

Step-by-step explanation:

f(x)=(x-2)²-64 (Given)

0=(x-2)²-64 (Set equation equal to 0)

64=(x-2)² (Add 64 to both sides)

±8=x-2 (Take the square root of both sides)

Because there are two possible roots, make 2 equations to find both:

8=x-2 and -8=x-2

10=x and -6=x

Can someone help with this? And if ur not gonna help don’t answer the question!

Answers

I think you selected the right answer

how to you divide denominators by numerators?

Answers

What he are she said.

will give brainlyist if quick

Answers

Answer:

B)

Step-by-step explanation:

slope = 1/2(rise/run)

3. The net below depicts a triangular prism. What is the total surface area of the prism?
6 cm
5 cm
6 cm
14 cm
com
A. 282 cm
C. 312 cm
B. 210 cm
D. 624 cm

Answers

Answer:

Step-by-step explanation:

Angelo drew a scale model of the flagpole at school. If the actual pole is 15 feet tall, and his drawing is 10 inches tall, what scale did he use?

Answers

Answer: [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Given

Angelo drew a model with his drawing length 10 inches tall

The actual pole length is 15 feet tall

drawing scale is the ratio of drawing length to the actual length i.e.

[tex]\Rightarrow \text{Scale used l=}\dfrac{10}{15}\\\\\Rightarrow l=\dfrac{2}{3}[/tex]

Find the value of x.

Answers

Answer:

57?

Step-by-step explanation:

I'M NPT SURE IF IT'S CORRECT but I added them both and subtracted 180

57 ig because the inside of a triangle is always 180

what is the equation of the line that passes through the point (6,3) and has a slope of -1/3

Answers

Answer:

y = -1/3x + 5

Step-by-step explanation:

y = -1/3x + b

3 = -1/3(6) + b

3 = -2 + b

b = 5

Last weekend, Abigail collected 7 times as many trading cards as Trey. Together, they collected 40 trading cards. How many trading cards did Abigail collect?

Answers

Answer: 35 trading cards

Step-by-step explanation:

Assume the trading cards collected by Trey is x.

That means that the number of trading cards collected by Abigail is 7x.

Relevant expression is:

7x + x = 40

8x = 40

x = 40/8

x = 5 trading cards

This means that Trey collected 5 trading cards

Abigail collected 7 times that figure so Abigail collected:

= 7 * 5

= 35 trading cards

What is the value of n in the equation n + 7.6 = 13.82? plz help and explain how you did it plz also no files plz

Answers

Answer:

n+7.6=13.82

n=13.82-7.6

n=6.22

Step-by-step explanation:

simple subtraction

I need help please , I’m so confused please

Answers

Answer:

628.32 or 628.31853071796

Step-by-step explanation:

V=πr²h or Volume equals pi r squared times h

V=pi*10²*2

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