A sphere has a diameter of 6 ft. What is its surface area?
The surface area of the sphere is
ft?. (Type an exact answer in terms of r.)

Answers

Answer 1

Answer:

I think it would be 113.1 ft!

Step-by-step explanation:

A = 4 x pi x 3 over 2 = 113.1

If you want terms of 3.14 it would be 113.04.


Related Questions

when c is 21 what is the value of a what is the value of b that goes with this value of a

Answers

Answer:

I need more info

Step-by-step explanation:

The value of b that goes with this value of a is 15.

What is a Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.

As per the given data:

b = 4a - 5

The values of a and c are given in the table correspondingly.

When c is 21

The value of a = 5 and

The value of b = 4(5) -5 = 15

Hence, the value of b that goes with this value of a is 15.

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(The question given is incomplete, the complete question is given below.)

The equation and the tables represent two different functions. Use the equation b=4a-5 and the table to answer the questions. This table represents C as a function of A.

when c is 21 what is the value of a what is the value of b that goes with this value of a

PLEASE!!! ASAP!!! WILL GIVE BRANLIEST!!! SHOW & EXPLAIN!!
I'm not smart & studying for my ACT's..

The text message component of each of Juan's monthly phone bills consists of $10.00 for the first 300 text messages sent that month, plus $0.10 for each additional text message sent that month. On Juan's most recent phone bill he was charged a total of $16.50 for text messages. For how many text messages in total was Juan charged on this bill?

Answers

Answer:

365 messages

Step-by-step explanation:

x = # text messages)

16.5 = 10 + .10(x - 300)

6.5 = .10x - 30

36.5 = .10x

x = 365

Answer:

365

300+65=365 text messages in total

365 text messages=$16.50

Step-by-step explanation:

6.50/0.10=65

Have a nice day!!

Find the volume of the pyramid.

Answers

Answer:

384

Step-by-step explanation: i think all the base lengths are equivalent? if they arent then the answer is wrong but i used the measurements they gave us

Find the balance in the amount after the given period. 5000 principal earning 7% commanded, 7 years

Answers

Complete question :

Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years

Answer:

8,028.91

Step-by-step explanation:

Given :

Principal, P = 5000

Rate, r = 7% = 0.07

Period, t = 7 years

Using the compound interest formula :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

A = 5000(1 + 0.07/1)^(1*7)

A = 5000(1 + 0.07)^7

A = 5000(1.07)^7

A = 5000 * 1.60578147647843

A = 8028.90738239215

Amount saved = 8,028.91

What are the solutions to 6x²-5x-4=0?

Answers

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

Exact Form:

[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]

Decimal Form:

x=-0.5, -1.¯3

Hope this helps     :)

two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles

Answers

Answer:

The bigger angle is 135, and the smaller angle is 45.

Step-by-step explanation:

First, you have to know that supplementary angles add up to 180°.

We have no equations for the angles, so I will use the variable x for the value of the smaller x.

The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.

Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.

Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.

To solve the equation:

1. Combine like terms

4x=180

2. Divide both sides by 4

x=45

Now that we have the value of x, we can plug that in to 3x and x to find the angles.

3*45=135, which is the bigger angle

45, which is the smaller angle.

Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.?

Answers

The length of the 1 inch nail weighing 18 mg is 25.4 mm

What is an equation?

An equation is an expression showing the relationship between numbers and variables.

Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.

1 inch = 0.0254 meter

1 m = 1000 mm

Given the nail is 1 inch, hence:

1 inch = 0.0254 m

0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm

The length of the nail is 25.4 mm

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The probability of an event is 0.28. Describe the likely hood of the event

Answers

Answer:

Step-by-step explanation

Remark

The likelihood of an event happening is 28 times out of a hundred.

The chances of it not happening is 72 chances out of a hundred.

Answer:

Unlikely!

Step-by-step explanation:

The subtotal of your computer purchase was $398.50. If the sales tax rate is 7.25%, how much will you pay in tax for the computer?

Answers

Answer:

54.97

Step-by-step explanation:

En qué países hispanohablantes se comen muchos frijoles?

From the video capitulo 8
10 POINTS!! Need it now

Answers

Answer:

Cuba, Venezuela, Colombia, Mexico

SHOW YOUR WORK
5.9 ÷ 0.54 =?

Answers

Answer:

10.93

Step-by-step explanation:

5.9 ÷ 0.54 = 5.9 x 1/0.54 = 5.9/0.54 = 10.93

The weather forecaster says that tomorrow there is a 6% chance that it will rain. Which word or phrase describes the probability that it will rain?

O unlikely

O likely

O impossible

O an equal chance or 50-50​

Answers

Unlikely

This would be unlikely because you only have a 6/100 chance of this happening. It’s rare but could happen. It isn’t likely that it will but it isn’t impossible. If it were 50-50, the percentage of chance would be 50%. So you are left with one option... unlikely.
unlikely because it is 6 percent out of one hundred and there still is a slight chance it might happen

Solve one-sixth ÷ two-sixths

A. start fraction 2 over 12 end fraction

B. one-sixth

C. one-half

D. 6

help plz

Answers

Answer:

C. one-half

Step-by-step explanation:

1/6 / 2/6

1/6 *6/2

=1/2

Hope this helps!!

Answer:

C)

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

Your problem should be set up like so:

[tex] \frac{1}{6} \div \frac{2}{6} [/tex]

When dividing fractions you multiply by the reciprocal of the second fraction. Therefore your question changes to this:

[tex] \frac{1}{6} \times \frac{6}{2} [/tex]

You multiply as across as normal and you'll end up with

[tex] \frac{6}{12} [/tex]

Which when simplified gives you

[tex] \frac{1}{2} [/tex]

There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random.
a. Approximate the probability that more than 200 persons in the sample have a disability.
b. Approximate the probability that between 180 and 300 people in the sample have a disability.

Answers

Answer:

The answer is "0.274 and 0.841"

Step-by-step explanation:

Given:

In this question, let X  the binomial random variable with the parameters:

[tex]n = 1000\\\\P = 0.193[/tex]

Calculating the random variable Z:

[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]

is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.

Using the continuity and tables to calculate:

[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]

(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".

(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".

Probability

According to the question,

Majority percentage, P = 19.3% or,

                                       = 0.193

Sample person, n = 1000

Q = 1 - P

   = 1 - 0.193

   = 0.807

By using Normal approx. to Binomial,

Mean, E(X) = n × P

By substituting the values,

                     = 1000 × 0.193

                     = 193

Standard deviation, X = √n × p × Q

                                      = √1000 × 0.193 × 807

                                      = 12.4800  

(a)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{210-193}{12.48}[/tex]

  = 1.36

The probability be:

→ P(X > 210) = 1 - P (Z < 1.36)

                    = 1 - 0.9131

                    = 0.08691

(b)

Z = [tex]\frac{X - \mu}{\sigma}[/tex]

  = [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]

  = 8.57

hence,

The probability be:

→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)

                                = 1 - 0.1488

                                = 0.85122  

Thus the answers above are correct.

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Kai needs to solve the equation x2 - 6x - 16 = 0 by completing the square. Which pair of steps is the most efficient way to begin?​

Answers

Step-by-step explanation:

[tex] {x}^{2} - 6x - 16 = 0[/tex]

[tex] {x}^{2} - 6x = 16[/tex]

[tex] {x}^{2} - 6x + 9 = 16 + 9[/tex]

There two ways you can go this route.

Route 1

[tex](x - 3) {}^{2} = 25[/tex]

[tex](x - 3) {} = 5[/tex]

[tex]x = 8[/tex]

And

[tex]x - 3 = - 5[/tex]

[tex]x = - 2[/tex]

The roots are 8,-2

Answer:

x=-2,8

Step-by-step explanation:

x2 - 6x - 16 = 0

x²-8x+2x-16=0

x(x-8)+2(x-8)=0

(x-8)(x+2)=0

either

x=8

or

x=-2

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria? F 45,000 x + 2,500 x = 54,000 x + 1,500 x G 45,000 x + 2,500 = 54,000 x + 1,500 H 45,000 + 2,500 x = 54,000 + 1,500 x J 45,000 x + 2,500 x = 54,000 x + 1,500

Answers

Answer:

H) 45,000 + 2,500 x = 54,000 + 1,500x

Step-by-step explanation:

Let the number of years be represented as x

For Jerry

Jerry has a new job and earns a salary of $45,000.Jerry will receive a salary increase of $2,500 per year,

The equation is

45,000 + 2,500x

Victoria has a new job and earns a salary of $54,000. and Victoria will receive a salary increase of $1,500 per year.

The equation is :

54,000 + 1,500x

The equation that can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria is given as

Equation for Jerry = Equation for Victoria

45,000 + 2,500x = 54,000 + 1,500x

Option H is the correct option

Find the volume of a pyramid with a square base, where the side length of the
base is 19.3 ft and the height of the pyramid is 16.2 ft. Round your answer
to the nearest tenth of a cubic foot.

Answers

Answer:

20.4

Step-by-step explanation:

The answer is 2011.4

Solve for the unknown angle

Answers

Answer:

30

Step-by-step explanation:

30°
20+130=150
180-150=30

If b = 5, what is 632
15
25
75
125

Answers

Answer:

Step-by-step explanation:

A

Seven friends go out for dinner and the bill for food and drink comes to £140 the friends decide to add a 5% tip on top of this total if they divide the expense equally between them how much does each friend pay

Answers

Answer:

21 pounds

Step-by-step explanation:

bill is 140 pounds, plus 5 tax means the total amount to pay is (1.05x140)=147 pounds.

Amount per friend = 147/7 = 21 pounds per friend.

Answer:

21

Step-by-step explanation:

This is just a confirmation answer

please do 81 cookies and distributed 44

Answers

I’m not quite sure what the question is, but 81 cookies distributed among 44 people would mean that each person gets 0.02 cookies each.

Answer:

1.84

Step-by-step explanation:

I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...

A deck contains these cards of the same size and shape.
• 5 green cards
4 red cards
2 orange cards
. 1 blue cards
Len will randomly select one card from the deck, not replace it, and then randomly select a second card. Which two fractions could be placed in the boxes to represent the probability he
will select a blue card and then a red card?

Answers

Step-by-step explanation:

Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)

So,

1. Probability of getting blue card is 1/12

2. Probability of getting a red card is 2/12=1/6

hope it helps

- SWIMMING POOLS A swimming pool is 30 feet long by
12 feet wide by 4 feet deep. A cubic yard of water is
27 cubic feet. How many cubic yards of water can the
pool hold? Round to the nearest tenth.
M

Answers

Answer:

- SWIMMING POOLS A swimming pool is 30 feet long by

12 feet wide by 4 feet deep. A cubic yard of water is

27 cubic feet. How many cubic yards of water can the

pool hold? Round to the nearest tenth.

M

Hello! Can someone help me with this!!

Answers

Answer:

nope u dont need to buy more

Step-by-step explanation:

u have 1/2 cup after spilling but the recipe only needs 1/3 which is less

Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?

Answers

Answer:

4 1/7

Step-by-step explanation:

16 4/7 ÷ 4 = 4 1/7

Hope this helps!

how can i solve this
(x+2)(2x+3)
step by step please

Answers

Answer:

2x² + 7x + 6

Step-by-step explanation:

To solve this polynomial, you need to distribute/multiply, (x+2) with (2x+3).

You would first multiply (x) with 2x and 3. This would give you 2x² and 3x. You would then multiply 2 with 2x and 3. This would give you 4x and 6. You then add the like-terms, which are 3x and 4x, which gives you 7x. This would give you your final expression of 2x² +7x + 6.

(x+2)(2x+3)

2x²+ 3x + 4x + 6

2x² +7x + 6

Answer:

2x^2+7x+6

Step-by-step explanation:

Expand the polynomial (An algebraic expression) using the FOIL (First, Outer, Inner, Last) method.

2x^2+7x+6

(x+2)(2x+3)

First, multiply the variables (x).

(x)(2x) = 2x^2

NOTE: the '^' before a number is used to signify an exponent.

Then, multiply the whole numbers (2, 3).

(2)(3) = 6

Now, you're not done. You need to multiply the variables and the whole numbers (that weren't already multiplied together)

(x)(3) = 3x

(2)(2x) = 4x

NOTE: make sure you're multiplying one expression to the other, not multiplying the same expression together.

Finally, add them all together, and simplify.

2x^2 + 6 +3x + 4x

=

2x^2+7x+6

will give brainliest please help
2x-8y=6
y=-7-x

Answers

Answer:

x=-5,\:y=-2 sorry if I'm wrong  symbolab

Step-by-step explanation:

Your parents give you $10,000. You place it in an account that pays 6.1% annual interest compounded continuously. How much will you have in 20 years? Round the answer to the nearest dollar.

Answers

Answer:

$22,200 over all

Step-by-step explanation:

The compound interest after 20 years is $22700.

What is compound interest?

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

For the given situation,

The principle, p = $10,000

Rate of interest, r = 6.1% = 0.061

Compounded continuously, n = 1

Number of years, T = 20

The amount formula of compound interest is

[tex]A=p(1+\frac{r}{n} )^{T}[/tex]

On substituting the above values,

⇒ [tex]A=10000(1+\frac{0.061}{1} )^{20}[/tex]

⇒ [tex]A=10000(1.061)^{20}[/tex]

⇒ [tex]A=32681.9[/tex] ≈ [tex]32682[/tex]

The compound interest can be calculated as

[tex]CI=A-P[/tex]

⇒ [tex]CI=32682-10000[/tex]

⇒ [tex]CI=22682[/tex] ≈ [tex]22700[/tex]

Hence we can conclude that the compound interest after 20 years is $22700.

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If a pollster wants to increase their ability to predict the outcome of an election, one thing they can do is increase the
size of the sample. By doing so:
O nonresponse will be eliminated.
the results of the sample will be unbiased.
the variability of the sample results will be reduced, giving greater precision in the estimate.
the pollster can be certain that he can correctly predict the outcome of the election.

Answers

Answer:

the variability of the sample results will be reduced, giving greater precision in the estimate.

Step-by-step explanation:

this worked on edg for me!

The figure shows two intersecting lines and measures of the resulting angles,
(3x - 81°
(2x +12)
What are the values of x and y?
O A * = 4, y = 160
OB. X = 20, y = 52
C. X = 4, y = 20
D. X = 20, y = 128

Answers

The answer is C. Hope this helped!
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