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2 years ago

The formula for the volume of a sphere is V=4/3pir^3. What is the formula solved for r

Mathematics

2 answers:

tigry1 [53]2 years ago

5 0

Answer:

r = $(3V/4pi)^(1/3)$

Step-by-step explanation:

Given that:

V = 4/3 pi r^3

We have to solve for r So,

Multiplying both sides by 3/4 we get:

3/4 V = 4/3 * 3/4 pi r^3

3/4 V = pi r^3

Dividing both sides by pi we get

3/4 * V/pi = r^3

Now taking under root 3 on both sides we will get value of r as:

r = $(3V/4pi)^(1/3)$

I hope it will help you!

harkovskaia [24]2 years ago

4 0

Answer:

Step-by-step explanation:

V = 4/3πr³

4/3πr³ = V

4πr³ = V * 3

r³ = 3V / 4π

r =∛3V / 4π

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Twelve flags are evenly spaced around a running track. Ryan started running at the first flag and took 30 seconds to reach the s

aniked [119]

Answer:

Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.

Step-by-step explanation:

It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him

30 * 6/3 = 36 seconds to make one complete round.

or it takes 6 seconds to run from one flat to the next.

To reach the nth flag (n=1,2,3,4,5, or 6)

Ryan takes 6(n-1) seconds.

To reach it the mth times, he needs to add 36(m-1) seconds.

So time it takes Ryan to reach the nth flag for the mth time takes

6(n-1) + 36(m-1)

= 6n - 6 + 36m - 36

= 6n+36m -42 seconds

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1 year ago

A computer shop charges 20 pesos per hour for first two hours and an additional 10 pesos per hour for each succeeding hour. Repr

SCORPION-xisa [38]

R(t)=10t+20. This shows the first 20 pesos, and the additional 10 pesos for every hour. Hope this helps.

4 0

1 year ago

Read 2 more answers

In estimating the mean score on a fitness exam, we use an original sample of size n = 30 and a bootstrap distribution containing

ioda

Answer:

C. 67.5 to 72.

Step-by-step explanation:

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

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The width of the interval is determined by it's margin of error, which is given by the following formula:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

So, as n increases, the margin of error decreases, and the interval gets smaller.

Using 10,000 bootstrap samples for the distribution:

We increase the sample size, which means that the interval gets smaller.

We had 67 to 73, since it got smaller, it will be from a value higher than 67 to a value lower than 73.

So the correct answer is:

C. 67.5 to 72.

8 0

2 years ago

The price of a stock was $15.22 per share. an investor bought the most shares possible for $2000. to the nearest whole number, h

Wewaii [24]

I think the answer is A

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2 years ago

Read 2 more answers

"The owner of Chips etc. produces two kinds of chips: lime (L) and vinegar (V). He has a limited amount of the three ingredients

sammy [17]

Objective function (maximize)

Profit=0.40L+0.50V

Subject to the Constraints

- Availability of salt: 2L+3V ≤4800

- Availability of flour: 6L+8V≤9600

- Availability of herbs: 1L+2V≤2000

Explanation:

In this linear programming problem, our objective is to maximise (make profit) but complying with some constraints.

The profit for a bag of lime chips(L) is $0.40, and for a bag of vinegar chips(V) is $0.50.

Therefore:

Profit=0.40L+0.50V

Next, we determine the Constraints defined by the availability of materials.

Total available ounce of salt = 4800

A bag of Lime Chip(L) requires 2 ounces of salt and a Bag of vinegar chips(V) requires 3 ounces of salt.

Therefore:

2L+3V≤4800

Total available ounce of flour = 9600

A bag of Lime Chip(L) requires 6 ounces of flour and a Bag of vinegar chips(V) requires 8 ounces of flour.

Therefore:

6L+8V≤9600

Total available ounce of Herbs = 2000

A bag of Lime Chip(L) requires 1 ounce of herv and a Bag of vinegar chips(V) requires 2 ounces of flour.

Therefore:

1L+2V≤2000

Thus, the formulation of the linear programming problem is as follows.

Objective function (maximize)

Profit=0.40L+0.50V

Subject to the Constraints

- Availability of salt: 2L+3V ≤4800

- Availability of herbs: 1L+2V≤2000

- Availability of flour: 6L+8V≤9600

5 0

2 years ago