If a volume of an object varies directly with its height and if the volume is 24 while the height is 3 what is k

Answers

Answer 1

Answer:

8

Step-by-step explanation:

the formula for direct variation =

Y ∝ kX

such that

Y = kX

from the question we have here

Y = Volume = 24

x = height = 3

when we put this in the formula above in bold

24 ∝ 3k

24 = 3k

from here we have to find the value of k. to do this, we divide through by 3

24/3 = 3k/3

8 = k

therefore the value of k is 8


Related Questions

2. Find mzR and mzS.
89°
R
157 T
Р

Answers

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

A rectangle with area 36 square inches has a length that is 3 less than 3 times the width. Find the length and the width of the rectangle.

Answers

Answer:

length = 9 in ; width = 4 in

Step-by-step explanation:

1) formula of the area of a rectangle

A = base x width

2) write an equation with the given informations:

w x (3w-3) = 36

3) solve the equation

-  multiply W by 3w and -3

3w^2 -3w = 36

- divide the two members by 3

w^2 - w = 12

- add up -12 at the two members

w^2-w -12 = 12 -12

w^2 - w - 12 = 0

- find two numbers whose sum is -1 and whose product is -12 and factorise the equation

(w-4)(w+3) = 0

- find the two solutions

w-4 = 0

w = 4

w+3 = 0

w = -3

4)remember that a length can’t be negative.

w = 4 is the only solution

5) find the length

4x3 - 3 = 9

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

hi

Step-by-step explanation:

hope it helps

have a nice day

Answer:

3.14, 5.8, 0.3, negative 2

Step-by-step explanation:

3.14 is found bn 2 and 3 but very close to 3 u can just take 3.1 and for 5.8 it's bn 5 and 6 very close to 6 but not six , and we'll negative 2 is right on negative 2

Someone solve this please

Answers

Answer:

the pyramid is 80 ft² and the rectangular prism is 240 ft²

Step-by-step explanation:

An archer hits a target 50% of the time. Design and use a simulation to find the experimental probability that the archer hits the target exactly four of the next five times.


MARK AS BRAINLEST FOR THE CORRECT ANSWER

Answers

Given:

An archer hits a target 50% of the time.

To find:

The experimental probability that the archer hits the target exactly four of the next five times.

Solution:

It is given that an archer hits a target 50% of the time. It means the probability of hitting the target is

[tex]p=\dfrac{50}{100}[/tex]

[tex]p=0.5[/tex]

The probability of not hitting the target is

[tex]q=1-p[/tex]

[tex]q=1-0.5[/tex]

[tex]q=0.5[/tex]

Binomial distribution formula:

[tex]P(x=r)=^nC_rp^rq^{n-r}[/tex]

We need to find the probability that the archer hits the target exactly four of the next five times. So, [tex]n=5,r=4,p=0.5,q=0.5[/tex].

[tex]P(x=4)=^5C_4(0.5)^4(0.5)^{5-4}[/tex]

[tex]P(x=4)=\dfrac{5!}{4!(5-4)!}(0.5)^4(0.5)^{1}[/tex]

[tex]P(x=4)=5(0.5)^{5}[/tex]

[tex]P(x=4)=0.15625[/tex]

Therefore, the experimental probability that the archer hits the target exactly four of the next five times is 0.15625.

From Monday through Friday Sydney works in the bookstore on one day and in the tutoring center where on another doing on Saturday and Sunday Sydney cooks food 50% of the days how many days does Sidney work in a week what percent of Monday through Friday does Sidney work

Answers

Answer: The other 50%

Step-by-step explanation:

What is the median for the following data set? 5,7,9,11,13,13

A. 10
B. 8
C. 9
D. 11

Answers

The answer is C.9 because 9+4=13 and 9-4=5 hope this helps

Fred kicks a ball with a force of 20n to George, who is 5m away. How much work was done to the ball

Answers

Answer:

100 Nm

Step-by-step explanation:

Work is said to be done when a force moves a body through a distance. This may be expressed as

work done = Force * distance

where

work done is measured in joules or Newton-meter

Force is measured in newtons and distance in meters

Substituting the given values,

Workdone = 20 * 5

= 100 Nm

= 100J

please help help help help !!!!! ASAP

Factorise

3у^2 - 54y + 243​

Answers

Answer:

3(y-9)^2

Step-by-step explanation:

Answer:

See in the picture mark brainliest if correct

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

d=18 feet

Step-by-step explanation:

The volume of a sphere is represented by the equation [tex]V=\frac{4}{3}\pi r[/tex]³, where r is the radius. If the volume is 972[tex]\pi[/tex],

[tex]972\pi =\frac{4}{3}\pi r[/tex]³

Divide [tex]\pi[/tex] from each side,

[tex]972=\frac{4}{3} r[/tex]³

Multiply each side by 3/4 to get rid of the fraction,

[tex]r[/tex]³[tex]=729[/tex]

Using the cube root, we find that 729 is actually a perfect cube.

[tex]r=9[/tex]

Now, the diameter is 2 times the radius, so

9×2=18

So, the measure of the diameter is 18 feet.

what is the area of the figure below

Answers

Answer:

Step-by-step explanation:

this is sorta a thought process to figure this out.   so think it thur with me.  b/c they are saying that the line is the same length with the lines thur it... see them?  so then that means that two sides of the right triangle are of a certain length so that means we know the base and length of the sides of a box, if we were to add the other right triangle to it.. see that?

so we can say that  6*7.5 = box   and we'll have two total boxes, see that?  the top portion of the parallelogram and the bottom are each a box .. but cut down the middle and put as two opposite parts of a triangle.

so

2*(6*7.5) = 90 [tex]in^{2}[/tex]

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

B (3, -4)

Step-by-step explanation:

A( -7, 2)

midpt ( -2, -1)

Equation:

(x + 5, y - 3)

Solve for B:

( -2, -1)

(x + 5, y - 3)

(3, -4)

Choose the correct answer.

Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?
%

Answers

answer:

Between the years 1970 and 1976, what percentage change in the rate of exchange occurred in the German mark relative to the United States dollar (to the nearest percent)?

45 %

The percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%

How to determine the change in the rates?

From the chart (table), we have the following rates in Germany:

Rate in 1970 = 27.42Rate in 1976 = 39.74

The percentage change is then calculated using:

Percentage change= (Final - Initial)/Initial * 100%

This gives

Percentage change= (39.74 - 27.42)/27.42* 100%

Evaluate the quotient

Percentage change= 0.45* 100%

Evaluate the product

Percentage change= 45%

Hence, the percentage change in the rate of exchange occurred in the German mark relative to the United States dollar is 45%

Read more about percentage change at:

https://brainly.com/question/978738

the figures are similar find X ​

Answers

Answer:

X=14.4

Step-by-step explanation:

As triangles are similar

The ratio of the sides must be equal

so..

[tex]\frac{x}{8} =\frac{9}{5}[/tex]

[tex]x=\frac{9*8}{5}[/tex]

[tex]x=14.4[/tex]

hope it helps...

have a great day!!

Two square posters are hanging on a wall. The large poster has an area of 144 square units, and the small poster has an area of 100 square units. How much bigger is the perimeter of the large poster than the perimeter of the small poster?

Answers

Answer:

8

Step-by-step explanation:

If you do the math with the area to find out the perimeter, and you will find the largest one to be the poster with the area of 144 , and the smaller one to be the one with the area of 100

Answer:

Length= squre root of area

Length of big poster = squre root of 144

=12

Length of small poster=squre root of 100

=10

The perimeter = 4*length

Big poster perimeter=4*12=48

Small poster perimeter =4*10=40

The difference= 48 - 40 = 8

It is bigger by 8

which expression is a fourth root of -1 + i√3?

Answers

Answer:

−1+1.732051i

Step-by-step explanation:

A number of days, d, of sunshine is not 28.

Answers

Answer:

D<28

Step-by-step explanation:

The required inequality for the given situation can be, d > 28 or d < 28

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, write an inequality for the situation.

Situation :-

A number of days, d, of sunshine is not 28.

Here, the number of days is said to be not equal to 28, we are not given if is less or more,

It can be less or more than 28 but not 28

So, here we get two situations,

Either, the number of days, d, of sunshine is less than 28, or the number of days, d, of sunshine is more than 28.

If we write these situations, mathematically, the inequalities we will have, are :-

1) The number of days, d, of sunshine is less than 28 :-

d < 28

2) The number of days, d, of sunshine is more than 28 :-

d > 28

Therefore, the two inequalities, are :- d < 28 or d > 28

Hence, the required inequality for the given situation can be, d > 28 or d < 28

Learn more about Inequalities, click;

https://brainly.com/question/30228778

#SPJ2

The complete question is :-

Write an inequality for the situation.

A number of days, d, of sunshine is not 28 .

I need this pls help me

Answers

Answer:

that statement is true

is there some other question?

Answer:

it is true

Step-by-step explanation:

Is 0.25 greater or less than 0.03?

Answers

Answer:

0.25 is greater than 0.03

Step-by-step explanation:

You can solve this simply by looking for the position of the decimal point.

For example, 0.30 is greater than 0.25, but 0.03 is less than 0.25

0.25  >  0.03

Answer:

Step-by-step explanation:

PLEASE ANSWER THIS ASAP I WILL GIVE YOU 5 STARS AND BRAINLIEST

Answers

Answer:

1. d

2. c

3. b

4. f

5. a

6. e

Step-by-step explanation:

Good Luck

HELPPPPPPPPPP :(

If there are two doors, each 36 inches wide.
Door A opened to 86° angle. Door B opened to 82°

which door's outer edge is farther from its closed position? and please explain it ♡​

Answers

Answer:

B its B

Step-by-step explanation:

A cup and saucer together cost N$ 20.50 . A cup and two saucer cost N$ 27.00 . Find the cost of the cup and the saucer.

Answers

Answer: Cup-$14, Saucer-$6.5

Step-by-step explanation:

Given

Cup and saucer costs $20.5

A cup and two saucer costs $27

Assume the price of cup and saucer are x and y

So, we can write

[tex]\Rightarrow x+y=20.5\quad \ldots(i)\\\\\Rightarrow x+2y=27\quad \ldots(ii)[/tex]

Solving [tex](i)\ \text{and}\ (ii)[/tex] we get

[tex]x=\$\ 14, y=\$\ 6.5[/tex]

Thus, the cost of the cup is $14 and that of the saucer is $6.5

ect
Use the number line interactive to evaluate the
following expressions.
8 + 3 =
+
16
(-8) + (-5) =
<
(-8) + 2 =

Answers

Answer:

1. 11

2. -13

3. -6

Step-by-step explanation:

Hope this helps. Have a great day! (I got this correct on edge :})

ANOTHERRR >: D
THANKS FOR ALL THE PEOPLE HELPINGG < 3

Answers

Answer: it C trust me it right & can you please mark me Brainliest

Step-by-step explanation: Hope this help :D

☁️ Answer ☁️

C, x < 4.

2/x −3< − 1

Multiply both sides of the equation by 2.

x−6< −2 (negative 2)

Add 6 to both sides.

x < (negative 2) −2 + 6

Add −2 and 6 to get 4.

x < 4

Hope it helps.

Have a nice day noona/hyung.

What is the surface area of the prism below?
A
216 ft2

B
312 ft2

C
432 ft2

D
10,800 ft2

Answers

the answer is C 432 ft 2

What is the product of 2x + 3 and 4x^2 - 5x + 6

Answers

Answer:

8

x

3

+

2

x

2

3

x

+

18

Step-by-step explanation:

simply the answer thought bc i didn't simplify

T=21and u =4 what is \sqrt(t+U)

Answers

Answer: 5

Step-by-step explanation: 21 + 4 = 25

square root of 25  = 5

Answer and Step-by-step explanation:

T = 21

U = 4

[tex]\sqrt{ 21 + 4} \\\\\\\sqrt{25} \\\\\\5[/tex]

5 is the answer to the expression.

#teamtrees #PAW (Plant And Water)

Helpppp please and ty

Answers

Answer:

-2, -1, 0, 1

Step-by-step explanation:

you hover over the stars

I need help pls is due today

Answers

Answer:

a) 1/2, 0.5, 50% b)3/4, 0.75, 75% c) 1/12, 0.08333, 8.333% d) 5/12, 41.6667%, 0.416

Step-by-step explanation:

Answer:

a] 1/2 b] 5/6 c] 1/6 d] 5/4

Step-by-step explanation:

no of even no present/total numbers and so on

try it later

A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphere that can be packed inside the cube shaped box? Give you answer rounded to the nearest whole cubic inch

Answers

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

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