A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball? (V = 4/3(pi)r^3)

Make sure you do put the unit with this answer rounded to the tenth if necessary.

Answers

Answer 1

Answer:

The radius of the ball is of 6 feet.

Step-by-step explanation:

The radius of the ball in spheric format is given by:

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

In which r is the radius.

A water-walking ball has a volume of approximately 904.32 cubic feet. What is the radius of the ball?

Volume in cubic feet, so the radius will be in feet. We have to find r for which [tex]V = 904.32[/tex]. So

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

[tex]904.32 = \frac{4\pi r^3}{3}[/tex]

[tex]r^3 = \frac{904.32*3}{4\pi}[/tex]

[tex]r = \sqrt[3]{\frac{904.32*3}{4\pi}}[/tex]

[tex]r = 6[/tex]

The radius of the ball is of 6 feet.


Related Questions

you bought 12 red apples and 15 green apples to make a pie?
what is the ratio of the number of red apples to the total number of apples simplified?​

Answers

Answer:

4:9

Step-by-step explanation:

12 red apples and 27 apples in total so it would be 12:27. Just divided it by 3

I think that's what the question is asking...

the angle of elevation from the bottom of the lift to the top of Snowbowl mountain is 33 degrees. If the height of the mountain is 544 meters, what is the length of a list from the bottom of a mountain to the top?​

Answers

Answer:

Step-by-step explanation:

[tex]tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m[/tex]

9514 1404 393

Answer:

  999 meters

Step-by-step explanation:

The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...

  Sin = Opposite/Hypotenuse

We want to find the hypotenuse, so we use the rearranged form ...

  hypotenuse = (mountain height)/sin(33°)

  lift length = (544 m)/sin(33°) ≈ 998.83 m

The length of the lift from bottom to top is about 999 meters.

Which expression results from using the Distributive Property?
16. 3(6 +r)
A. 6+r
B. 6 + 3r
C. 181
D. 18 + 3r

Answers

The answer is D because you would multiply 3 * 6 and 3 * r, getting you 18+3r

Factor and simplify
sec⁴x-tan⁴x÷sec²x + tan²
X
Verify the identity​

Answers

Answer:

1

Step-by-step explanation:

sec⁴x-tan⁴x÷sec²x + tan²X

= sec⁴x-tan⁴x/sec²x + tan²X

= (sec²x)²-(tan²x)²/sec²x + tan²X

Using the difference of two square

a² - b² = (a+b)(a-b)

(sec²x)²-(tan²x)² = (sec²x + tan²X)(sec²x - tan²X)

= (sec²x)²-(tan²x)²/sec²x + tan²X

= (sec²x + tan²X)(sec²x - tan²X)/sec²x + tan²X

= sec²x - tan²X

Also sec²X = 1 + tan²X

Substitute

=  1 + tan²X- tan²X

= 1

Hence the value of the expression is 1

Five times a number is 65. What is the number?
13
60
70
325

Answers

Answer:

13

Step-by-step explanation:

13*5=65

Answer:

13

Step-by-step explanation:

the other ones if you multiplyed they would go over the number

James got an 80 on a math test. By taking a retest in MLC, he increased his score by 15%. What
was his new score ?
Show work please

Answers

Answer:

Step-by-step explanation:

80x(1+0.15)=80x1.15

                 =92

PLSSS PLSSS I NEED HELPP

Answers

Answer:

Step-by-step explanation:

Perpendicular (p) = 8

base(b) = 7

Tan A = p/b

tan A = 8/7

A = tan ^-1(8/7)

A = 48.81°

b=3(3,1) find the equation

Answers

Answer:

Are you asking, given b = 3, write an equation that passes through the point (3,1)?

35% of students take spainsh or engineering. 30% of students take Spanish. 25% of students take engineering. What is the probability that a student takes Spanish and engineering?

Answers

Answer:

0.2 = 20% probability that a student takes Spanish and engineering

Step-by-step explanation:

We solve this question treating the probabilities as Venn sets.

I am going to say that:

Event A: Student takes Spanish

Event B: Student takes Engineering.

35% of students take spainsh or engineering.

This means that [tex]P(A \cup B) = 0.35[/tex]

30% of students take Spanish.

This means that [tex]P(A) = 0.3[/tex]

25% of students take engineering.

This means that [tex]P(B) = 0.25[/tex]

What is the probability that a student takes Spanish and engineering?

This is [tex]P(A \cap B)[/tex].

These probabilities are related by the following formula:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]

Replacing the values

[tex]P(A \cap B) = 0.3 + 0.25 - 0.35 = 0.2[/tex]

0.2 = 20% probability that a student takes Spanish and engineering

Rhombus ABCD has vertices A(-1, -2), B(2,2), C(6,5), and D(3,1). The perimeter of the rhombus is

Answers

Answer:

The perimeter of the rhombus is approximately 19.999.

Step-by-step explanation:

First of all, we plot all points that constructs the rhombus, whose outcome is attached below. Diagonals of the rhombus are segments AC and BD, whose lengths are determined by Pythagorean Theorem:

Segment AC

[tex]AC = \sqrt{[6-(-1)]^{2}+[5-(-2)]^{2}}[/tex]

[tex]AC \approx 9.899[/tex]

Segment BD

[tex]BD = \sqrt{(3-2)^{2}+(1-2)^{2}}[/tex]

[tex]BD \approx 1.414[/tex]

The perimeter of the rhombus ([tex]p[/tex]) is calculated by the following equation:

[tex]p = 4\cdot \sqrt{\left(\frac{AC}{2} \right)^{2}+\left(\frac{BD}{2} \right)^{2}}[/tex]

[tex]p = 2\cdot \sqrt{AC^{2}+BD^{2}}[/tex]

[tex]p = 2\cdot \sqrt{9.899^{2}+1.414^{2}}[/tex]

[tex]p \approx 19.999[/tex]

The perimeter of the rhombus is approximately 19.999.

1) If Donkey Kong is on a bridge 638 feet in the air, 6 seconds after a shell
was released, which shell hit Donkey Kong and how do you know?
+

Answers

Answer:

5000inches

Step-by-step explanation:

i think is that!

You're a contestant on a TV gameshow where you must choose between four identical looking suitcases containing $100, $100, $300, and $400. You start by randomly picking one suitcase. The host then opens the remaining suitcase with the lowest dollar amount. Now, you have the choice to keep your current suitcase or switch to one of the two remaining suitcases. With probability p= 0.7, you keep your original suitcase and open it. Otherwise, you are equally likely to choose either of two the remaining suitcases and open it. You win the money in the suitcase you opened.

Consider these events:
Ai is the event that the first suitcase you choose is worth i dollars.
Hi is the event that the host opens a suitcase worth i dollars.
Wi is the event that you win i dollars.

If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______

Answers

Answer:

0.2990 = 29.90%.

Step-by-step explanation:

For each trial, there are only two possible outcomes. Either you win $400, or you do not. Trials are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of winning $400 in a trial:

1/4 probability of choosing the suitcase containing $400, and in this case, 0.7 probability of keeping it.

3/4 probability of choosing another suitcase. Then, 0.3 of 3/4 probability of changing the suitcase, and 0.5 of 0.3 of 3/4 probability of getting the suitcase containing $400. So

[tex]p = \frac{1}{4}*0.7 + \frac{3}{4}*0.3*0.5 = 0.25*0.7 + 0.75*0.15 = 0.2875[/tex]

If you play this game five times, the probability that the event W400 occurs twice in five trials is:_______

This is P(X = 2) when n = 5. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{5,2}.(0.2875)^{2}.(0.7125)^{3} = 0.2990[/tex]

The probability is 0.2990 = 29.90%.

Casey has a litter of five puppies and four of them are gray at this rate how many puppies would be gray in a litter of 25 puppies?

Answers

Answer:

20

Step-by-step explanation:

calcule a área lateral de uma pirâmide regular quadrangular de altura 6 cm e área da base 64 cm2​

Answers

Answer:

bam

Step-by-step explanation:

bam

Find angle picture below

Answers

Answer:

T=62

U=33

V=85

Step-by-step explanation:

-9.4 - 1.4b = b + 0.2
a) no solution
b) -6.7
c) 2.1
d) -4

Answers

Answer:

d) -4

Step-by-step explanation:

-9.4 - 2.4b = 0.2

-2.4b = 9.6

b = -4

good luck, i hope this helps :)

For the function f(x)=-7x-5, evaluate f(6)

Answers

Answer:

f(x)=-7x-5

f(6)=-7(6)-5

f(6)=-42-5

f(6)=-47

Simplify completely and find the restrictions on the variable.​

Answers

Answer:

[tex]\displaystyle \frac{8}{x - 11}, x \neq 2, 11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFactoring

Algebra II

DiscontinuitiesDomain Restrictions

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{8x - 16}{x^2 - 13x + 22}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                          [tex]\displaystyle \frac{8(x - 2)}{x^2 - 13x + 22}[/tex][Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{8(x - 2)}{(x - 11)(x - 2)}[/tex][Fraction] Divide:                                                                                            [tex]\displaystyle \frac{8}{x - 11}[/tex]

We know that x cannot equal 11, because that would give us a divide by 0 error and we know that x cannot equal 2 because it was canceled out when simplifying.

how many seconds are there in 8 minutes 12seconds​

Answers

Answer:

1 minute has 60 seconds

therefore 8 minutes will have 60 × 8 seconds = 480 seconds

480 + 12 = 492

hence 8 minutes 12 seconds will have 492 seconds

Answer: 492 seconds

Step-by-step explanation:

1min = 60sec

therefore, 8min 12sec = [8 x 60] + 12

= 480 + 12

= 492 sec

Hope it helped u,

pls mark as the brainliest        - Ayaan707 for help :) -

^_^

there are 34 rose bushes currently in the park. Park workers will plant more rose bushes today. When the workers are finished there will be 70 rose bushes in the park. How many rose bushes did the workers plant today

Answers

Answer:

I think the answer is C

Step-by-step explanation:

Because they said there are 34 currently so if you add 36 or 34 to 70 it has to be C

Are these answers right

Look at pictures

Complementary angles

Answers

Answer:

1) correct

2) correct

3) incorrect, x = 11

4) incorrect, x = 50

Step-by-step explanation:

3) 90-35 = 5x

5x = 55

x = 11

4) 90-56 = (x-16)

x-16 = 34

x = 50

Answer:

Step-by-step explanation:

3) 5x +  35 = 90 {Complementary angles}

          5x = 90 - 35

          5x = 55

            x = 55/5

             x = 11

4) 56 +x - 16 = 90 {Complementary angles}

         x + 40 = 90

                x = 90 - 40

               x = 50

What is the difference, in hours and minutes, between these times?
a)
13 40 and 17 15
hours
minutes
b)
11 25 and 14 10
hours
minutes
c)
2:50 am and 7:20 am
hours
minutes
d)
10:35 am and 2:40 pm
hours
minutes

Answers

Answer:

a) 3 hrs 35 mins

b) 2 hrs 45 mins

c) 4 hrs 30 mins

d) 4 hrs 5 mins

Step-by-step explanation:

The difference, in hours and minutes, between these times are;

a) 3 hrs 35 mins

b) 2 hrs 45 mins

c) 4 hrs 30 mins

d) 4 hrs 5 mins

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The difference, in hours and minutes, between these times can be calculated as;

a) 13 40 and 17 15

13 :40 - 17 : 15

= 3 hrs 35 mins

b) 11 :25 and 14: 10

11 :25 - 14: 10

= 2 hrs 45 mins

c) 2:50 am and 7:20 am

2:50 am - 7:20 am

=  4 hrs 30 mins

d) 10:35 am and 2:40 pm

10:35 am - 2:40 pm

= 4 hrs 5 mins

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

4 divided by 3.2 show work

Answers

1.25 I believe lol hopes this helps ❤️

To divide 4 by 3.2, we can use long division.

Here's the step-by-step process:

        1.25

   ___________

3.2 | 4.00

      3.2     (subtract 3.2 from 4.00)

   _______

        8

        6.4   (bring down the 0)

   _______

        16

        16    (subtract 16 from 16, no remainder)

   _______

         0

Therefore, 4 divided by 3.2 is equal to 1.25.

Learn more about Long division here:

https://brainly.com/question/29188115

#SPJ6

Describe the characteristics of metal in which metal converts into sheet.​

Answers

Answer:

a solid material that is typically hard, shiny, malleable, fusible, and ductile, with good electrical and thermal conductivity ( iron, gold, silver, copper, and aluminum, and alloys such as brass and steel)

Step-by-step explanation:

What is the ratio of the number of students who sometimes watch sports to the total number of students surveyed?

Answers

Answer:

You need to provide an image or some sort of attachment, since there is no context to this question or any data one could answer off of.

Step-by-step explanation:

^

We roll two fair 6-sided dice. If a fair dice is rolled, the probability of it landing on any number between [1-6] is equi- probable (i.e., 1 6 ). (a) Find the probability that doubles are rolled. (Rolling doubles mean both dices land in the same number, e.g., 3 and 3.) (b) Given that the roll results in a sum of 6 or less, nd the conditional probability that doubles are rolled. (c) Find the probability that the larger of the two die's outcomes is at least 4.

Answers

Answer:

a.) [tex]\frac{1}{6}[/tex]

b.) [tex]\frac{3}{15}[/tex]

c.) [tex]\frac{27}{36}[/tex]

Step-by-step explanation:

Given - We roll two fair 6-sided dice. If a fair dice is rolled, the probability

             of it landing on any number between [1-6] is equi- probable

             (i.e., [tex]\frac{1}{6}[/tex]).

To find - (a) Find the probability that doubles are rolled.

               (b) Given that the roll results in a sum of 6 or less, and  

                    the conditional probability that doubles are rolled.

               (c) Find the probability that the larger of the two die's outcomes

                    is at least 4.

Proof -

As given , two fair 6-sided dice is rolled.

The sample space is as follows :

S = { (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

        (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

        (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

        (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

        (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

        (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)  }

Total number of outcomes = 36

a.)

Sample space that double are rolled = { (1, 1), ( 2, 2), ( 3, 3) , ( 4, 4), ( 5, 5), ( 6, 6) }

Total number of possible outcomes = 6

So, Probability = [tex]\frac{6}{36}[/tex] = [tex]\frac{1}{6}[/tex]

b.)

Sample space that roll shown sum of 6 or less = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (5, 1)}

Now,

Total outcomes = 15

Total possible outcome that doubles are rolled = 3 ( i.e (1,1), (2, 2), (3, 3) )

So, Probability = [tex]\frac{3}{15}[/tex]

c.)

Sample space that larger of the two die's outcomes is at least 4 = { (1, 4), (1, 5), (1, 6), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) }

Total possible outcomes = 27

So, Probability = [tex]\frac{27}{36}[/tex]

what's 24 -3 (7-5) to the power of two over (+8) (-6) ÷ (+12)?

Answers

Answer:

45%

Step-by-step explanation:

45%

Mr Morris built a fence to enclose his yard he put 3/4 of the fence on Monday on Tusday he put up 1/6 of the fence and on wensday he put up the rest of the fence what portion of the fence on Wensday

Answers

Answer:Portion put up on Wednesday =1/12

Step-by-step explanation:

Since we are dealing with fraction

Let the total fence = 1 whole

such that fence put up on Monday = 3/4

and fence he put p on Tuesday = 1/6

Since he put up the rest on Wednesday, To find the portion put up we have that

Portion put up on Wednesday =Total portion of fence - ( Portion put up on Monday and Tuesday)

=1- ( 3/4 + 1/6)

= 1-  18+ 4/ 24

=1- 22/24

= 2/24

Portion put up on Wednesday =1/12

Answer:

Step-by-step explanation:

PLEASE HELP, I WILL MARK BRAINLIEST TO THE ONE WHO ANSWERS FIRST

The perimeter of the base of a square prism is 16cm. The height of the prism is 5 cm. Find the volume of the prism.

(Hint: use the perimeter to find the length of the side)

Answers

Answer: Down Below

Step-by-step explanation:

Surface Area(rectangular prism) = 192 cm^2

Area(square) = 16cm^2

Area(square) = LW or S^2

Area = 16cm^2

What is the y-intercept of the line with the equation 4y = -3x + 10?

Answers

Step-by-step explanation:

Given

4y = - 3x + 10

y = ( - 3x + 10 ) / 4

y = - 3/4 x + 10 / 4

y = - 3/4 x + 5 / 2

Comparing the given equation with y = mx +c Then

y - intercept (c) = 5/2

Hope it will help :)

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