The volume of air inside a rubber ball with radius r can be found using the function V(r)= 4/3pier^3 what does V(5/7) represent?

Answers

Answer 1

Answer:

Step-by-step explanation:

I can tell you what it represents, but not what it means. Or maybe the units.

V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.

V = 4/3 * pi * r^3

V(5/7) = 4/3 * 3.14 * (5/7)^3

V(5/7) = 4/3 * 3.14 * 125 / 343

V(5/7) = 4/3 * 3.14 * 0.3644

V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)


Related Questions

100 students are interviewed to see which of biology, chemistry or physics they prefer. 42 of the students are girls. 5 of the girls like biology best. 4 of the boys prefer physics. 13 out of the 21 who prefer chemistry are girls. What percentage of the students prefer biology?

Answers

Answer:

A total of 51 people prefer biology, 51%

Step-by-step explanation:

Girls: 42

Boys: 58

Biology: 5 girls and 46 boys(100-42=58, 58-[4+8]=46)

Physics: 4 boys and 24 girls(42-[5+13])

Chemistry: 13 girls and 8 boys(21-13=8)

I think this is the answer...

Help and explain pls and thankyouuu

Answers

Answer:

f(-3.2) = -7.2

Step-by-step explanation:

Here, we want to calculate f(-3.2)

What we have to do here is to substitute-3.2 for x in the equation for f(x)

Mathematically, we have this as;

f(-3.2) = -3.2-4 = -7.2

Please help! Awarding Brainly :)

Answers

Answer:

Step-by-step explanation:

The diameter of a wheel on harrys bicycle is 0.65m calculate the circumference of the wheel give your answer correct to 2 decimal places

Answers

Answer:

Step-by-step explanation:

[tex]C =2\pi r[/tex] and since we have to state the answer to 2 decimal places, that means that we are using the number value for π. In specific, π = 3.1415 is good enough. The other thing we note is that the formula for circumference could also be written in terms of its diameter as opposed to its radius:

C = πd. Let's use that one since we are given the diameter of the tire, not the radius.

C = (3.1415)(.65) so

C = 2.04 m

The circumference of the wheel  is C = 2.04 m.

What is area of the circle?Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, etc

Given ,

          d = 0.65 m

          π = 3.14

   

Let's use that one since we are given the diameter of the tire, not the radius.

Use this formula ,     C = πd

                         C = (3.1415)(.65)

                       so, C = 2.04 m

Therefore, the circumference of the wheel  is C = 2.04 m.

Learn more about circumference of circle brainly.com/question/16622077 here

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PLZ I NEED ANSWER I GIVE BRAINLIEST TO FIRST ANSWER RIGHT

Answers

Point B is in the third quadrant

Answer:

B. Point B

Step-by-step explanation:

Find the values of x and y. Round your answers to the nearest tenth if necessary,

Answers

Answer:

[tex]x=12,\\y=12\sqrt{3}[/tex]

Step-by-step explanation:

In any 30-60-90 triangle, the side lengths are in the ratio [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse, or longest side, of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle.

In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since [tex]x[/tex] is opposite to the 30 degree angle,

Therefore, we have:

[tex]x=\frac{24}{2},\\x=\boxed{12}[/tex]

Based on our side length ratio [tex]x:x\sqrt{3}:2x[/tex], [tex]y[/tex] is then:

[tex]y=x\sqrt{3}\text{ for}\implies x=12,\\y=\boxed{12\sqrt{3}}[/tex]

Answer:

[tex]\huge\boxed{x=12;\ y=12\sqrt3\approx20.8}[/tex]

Step-by-step explanation:

Look at the picture.

We have:

[tex]2a=24\\a=x\\a\sqrt3=y[/tex]

Therefore:

[tex]x=24:2=12\\\\y=12\sqrt3\approx12\cdot1.73=20.76\approx20.8[/tex]

Can someone help me with this math homework please!

Answers

OPTION C

The graph is continuous because there can be fractional values for time

Answer:

(C) The graph is continuous because there can be fractional values for time.

Step-by-step explanation:

There can't be a negative altitude because when it reaches the ground, it has a altitude of zero and can't go further down. However, it's not B because a discrete graph would also mean there would be set times (represented by points on the graph) of the hot air balloon moving. This isn't true, because the hot air ballon moves as time continues, even fractional time values.

So it's C, "The graph is continuous because there can be fractinoal values for time".

Hope it helps (●'◡'●)

S.p=315 loss percent =10% c.p=rs=xc.p=?​

Answers

Given:

S.P. = 315

Loss percent = 10%

To find:

The C.P.

Solution:

Let x be the C.P.

We have,

S.P. = 315

Loss percent = 10%

[tex]S.P.=C.P.-10\%\text{ of }C.P[/tex]

[tex]315=x-\dfrac{10}{100}x[/tex]

[tex]315=x-0.1x[/tex]

[tex]315=0.9x[/tex]

Divide both sides by 0.9.

[tex]\dfrac{315}{0.9}=x[/tex]

[tex]350=x[/tex]

Therefore, the cost price (C.P.) is 350.

8.a. Simplify: 10a+46-(3a+2b)​

Answers

The answer is 7a+46-2b

10a+46-(3a+2b)

= 10a + 46 - 3a - 2b

= 7a - 2b + 46

pls pls help

How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
Two
Zero
One
Infinitely many

Answers

Answer:

One

Step-by-step explanation:

This equation is not a quadratic and can be solved to get an integer solution

Answer:

Step-by-step explanation:

It can have at most 1 sensible answer. It may have zero and infinitely many

3x + 6 = - 1 - 3 + 4x              Combine the right

3x + 6 = - 4 + 4x                   Add 4 to both sides

3x + 6 + 4 = 4x                     Subtract 3x from both sides

3x  + 10 -3x = 4x - 3x             Combine

10 = x

The only answer (1) that is possible is 10.

Determine the period.
N
10

Answers

Hello,

f(x+5)=f(x)

Periode is 5

Answer:

It's 4 on acellus, not 5 :)

Step-by-step explanation:

The price of a colour TV is $ 13440, inclusive of sales tax. If the printed price of the colour TV be $ 12000 then find the rate of sales tax.

Answers

Answer:

12%

Step-by-step explanation:

first subtract 12000 from 13440 which is 1440 which is the amount of sales tax. to find the rate you need to find at what percentage was multiplied by. I got 0.12 which means 12 percent sales tax.

7. State the type of system of equations.
y + 5x = 6
5y + 25x = 80

Answers

Step-by-step explanation:

the systems of equations shown are parallel because they have the same slope

- During the summer, you work 5 hours a day as a lifeguard at a beach and
earn $8 each hour. Use properties of multiplication to find how much
money you earn during a 6-day work week.

Answers

Answer:

240 If its wrong pleas correct me

number of ways you can wear 10 outfits to school each day in a 5 day week

Answers

Answer:

1 day=10outfits

5days=10outfits×5

=50outfits

Step-by-step explanation:

hope this is helpful

Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.

How to calculate the number of ways

To calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:

10 outfits/day × 5 days = 50 outfit combinations

Therefore, you can wear the 10 outfits in 50 different ways throughout the week.

Learn more about permutations

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Suppose you had been in charge of designing the study. What sample size would be needed to construct a margin of error of 2% with 95% confidence

Answers

Answer:

A sample size of 2401 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What sample size would be needed to construct a margin of error of 2% with 95% confidence?

This is M for which n = 0.02.

Supposing we have no estimate for the true proportion, we use [tex]\pi = 0.5[/tex].

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96*0.5[/tex]

[tex]\sqrt{n} = \frac{1.96*0.5}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.02})^2[/tex]

[tex]n = 2401[/tex]

A sample size of 2401 is needed.

the vector a,b and c are given as a=2i+3j-4k. b =5i+3j+7k. c =6i+2j-k
find 1)a-2b+4c
2)5a+2b-c​

Answers

Here you are! Hope you can understand it :)

Helppppp and explain pls and thankyouu

Answers

Answer:

-13 is the answer I think so but wait for others also because my could be wrong

There are six different candidates for governor of a state. In how many different orders can the names of the can- didates be printed on a ballot

Answers

Answer: 720

Step-by-step explanation:

Given

There are 6 candidates for a state of governor

Here, order is important. So, the no different orders is given by permutations

[tex]\Rightarrow ^6P_6=\dfrac{6!}{(6-6)!}\\\\\Rightarrow ^6P_6=\dfrac{6!}{0!}\\\\\Rightarrow ^6P_6=720[/tex]

There are 720 different orders for the candidate name to be printed.

Help please I’m really stuck.

Answers

Answer:

35 miles

Step-by-step explanation:

To get the total number of miles, you add up the value of the X's to get 35 miles. Have a great day!

Which one of the following groups would be unbiased when asked, “What is your favorite kind of pizza?”
Group of answer choices

health & fitness fanatics leaving the gym

guests leaving a gourmet pizza restaurant

kids at the playground

families attending a sporting event

Answers

Answer:

kids at playground

children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best

What is a set ? Give an example of a set .​

Answers

Answer: 24

Step-by-step explanation:

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

c

Step-by-step explanation:

got it right

Answer:

y = 4x - 3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-3) / 2 - 0

8 / 2

= 4

y = 4x + b

5 = 4(2) + b

5 = 8 + b

-3 = b

Assume the equation has a solution for z.
-cz+ 6z = tz + 83
z=?​

Answers

Answer:

z = 83 / (- c + 6 - t)

Step-by-step explanation:

Given:

-cz+ 6z = tz + 83

z=?​

-cz+ 6z = tz + 83

Collect like terms

-cz+ 6z - tz = 83

Factorize

z(- c + 6 - t) = 83

Divide both sides by (- c + 6 - t)

z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)

z = 83 / (- c + 6 - t)

Answer:

Step-by-step explanation:

Find the perimeter of ΔJKL. Round your answer to the nearest tenth if necessary

Answers

The answer is x = 86.4, hope this helps

Answer:

3.25

Step-by-step explanation:

the triangle=15+9 8.5=3.25 in answer find x.8 ∆JKL OPTIMIZE 1 UP 3...

I need help plz help

Answers

answer is C. 252 ft^2

split the figure into two pieces and first figure out the rectangle (shown in turquoise).

If you multiply the width and length (18*6) you should get 108.

Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.

Tommy went to the shop where there was a 20% off sale taking place
The shirt he wanted to buy was originally £20
How much money does he save in the sale?

Answers

Answer:

4 pounds

Step-by-step explanation:

take 20% off the original price. 20(0.20)= 4

So that's a discount of 4 pounds and the sale price is 16 pounds.

The savings is 4 pounds on 1 shirt.

Hi I really need help with this question.So if you can help me thank you so much and if you can help me can you explain it step by step please and thank you so much your a life saver <3

Answers

Answer:

Step-by-step explanation:

I'll answer the question, but before I do, let me crab about the reliance on a diagram. You should never have to answer a question where you make assumptions about the diagram. It should state the the longest leg in one triangle = 2x - 4, and the hypotenuse in the larger triangle is 42, while in the smaller one it is x + 8\

Added to which you have to state that there is a ratio between the large triangle and the small one.

24/(2x - 4) = (x + 8)/42             Cross Multiply

24*42 = (x + 8)*(2x - 4)             Remove the brackets. Combine the left

1008 = 2x^2 - 4x + 16x - 32     Combine the right   and switch

2x^2 + 12x - 32 = 1008             Subtract 1008

2x^2 + 12x - 1040 = 0                Divide by 2

x^2 + 6x - 520  = 0

(x + 26)(x - 20) = 0

x = - 26 which has no meaning

x = 20 which is the answer.

2x - 4 = 2*20 - 4 = 36

x + 8 = 28

I'm not sure what you want -- the side lengths or just x.

Step-by-step explanation:

the ratio

24:2x-4=x+8:42

24/2x-4=x+8/42

24×42=(x+8)(2x-4)

1008=2x(x+8)-4(x+8)

1008=2x²+16x-4x-32

1008=2x²+12x-32

1008+32=2x²+12x

1040=2x²+12x

0=2x²+12x-1040

OR

24/2x-4=x+8/42

LCM=42(2x-4)

42(2x-4)×24/2x-4=42(2x-4)×x+8/42

42×24=(2x-4)(x+8)

1008=2x(x+8)-4(x+8)

1008=2x²+16x-4x-32

1008=2x²+12x-32

1008+32=2x²+12x

1040=2x²+12x

0=2x²+12x-1040

Factorize
a⁴-3a²b²+b⁴​

Answers

Answer:

(a⁴-3a²b²+b⁴)/(a²-ab-b²)

Let me know if there is something wrong to my answer ^_^

Answer:

hope it will helpfulll to youuu

Factor 12y^2 + 5y -2 completely

Answers

Answer: (4x-1)(3x+2)

Step-by-step explanation:

do u know how to factor?

Answer: (4y - 1)(3y + 2)

Step-by-step explanation:

[tex]12y^{2} +5y-2\\=(4y - 1)(3y + 2)[/tex]

You can also do it the long way using the quadratic formula:[tex]\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex], where a = 12, b = 5, and c = -2.

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