Find the volume of a sphere with a radius of 9 inches. Use 3.14 for π
.

Round your answer to the nearest hundredth.

Find The Volume Of A Sphere With A Radius Of 9 Inches. Use 3.14 For .Round Your Answer To The Nearest

Answers

Answer 1

Answer:

The volume of the sphere is 3053. 63 inches.

Step-by-step explanation:

Formula for volume of a sphere is : V = 4 /3 · π · r³

V = 4/3 · π · 9³

V ≈ 3053. 63

The volume of the sphere is 3053. 63 inches.


Related Questions

If you are selling your house with a local realtor who requires a 5 % commission fee, what can you expect to pay the realtor if your house sells for $182,000?

Answers

Answer: $9100

Step-by-step explanation:

Since the local realtor will get a commission of 5% whenever the house is sold, then the amount they the realtor will be paid when the house is old for $182000 will be calculated thus:

= 5% × $182000

= 5/100 × $182000

= 0.05 × $182000

= $9100

The realtor will be paid $9100.

determine the general term of this sequence 2;10;18;26;.........;394​

Answers

Answer:

Tn=8n-6

Step-by-step explanation:

this is arithmetic sequence so first we check our difference by saying

T2-T1=T3-T2

10-2=18-10

so difference =8 nd a=2

Formula for arithmetic is Tn=a + (n-1)d

then substitute Tn=2 + (n-1)(8)

Tn=2 + 8n-8

Tn=8n-6

Công thức tính hiệu suất

Answers

Answer:

Công thức tính hiệu quả công việc là tỷ lệ giữa đầu ra và đầu vào được biểu thị bằng phần trăm. ... Công thức hiệu quả công việc là hiệu quả = đầu ra / đầu vào, và bạn có thể nhân kết quả với 100 để tính hiệu quả công việc theo tỷ lệ phần trăm.

y=x+9x solve for x. Please and Thank you.

Answers

Answer:

x=y/10

Step-by-step explanation:

y=10x

y/10=x

x=y/10

Hope this is helpful

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {\: x = \frac{y}{10}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]y = x + 9x\\[/tex]

[tex]➺ \: y = 10x\\[/tex]

[tex]➺ \: x = \frac{y}{10}\\ [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

For every 1 litre of water used to make a medicine, 200 ml of sucrose and 300ml of saline solution are used. Express the amount of water, sucrose and saline solution needed as a ratio in its simplest form

Answers

10:2:3

Hope this helps! :)

Answer:

10:2:3

water:sucrose:saline

Step-by-step explanation:

Marc is sending his sister a parcel through the post. the parcel weighs 2.451kg. round this to 1 decimal place​

Answers

Answer:

2.5 kg

Step-by-step explanation:

2.451

Find the number in the tenth place 4 and look one place to the right for the rounding digit 5.

Round up if this number is greater than or equal to 5 and round down if it is less than 5.

John throws a biased four-sided dice.
The probabilities of getting each number are summarised in the table below.
Number
1
2
3
4
Probability
0.2
x
0.2
0.2
Work out the probability that the dice lands on 2.

Answers

Answer:

0.4

Step-by-step explanation:

0.2+0.2+0.2=0.6

1.0-0.6=0.4

This isn't 0.2 like the others which is why it's a biased dice like it says.

three-fifths of a number increased by ten

Answers

Answer: [tex]\frac{3}{5} x+10[/tex]

Step-by-step explanation:

three-fifths of a number means multiply three-fifths by a variable [tex]\frac{3}{5} x[/tex]

increased by 10 means addition +10

together it is [tex]\frac{3}{5}x +10[/tex]

Find cos 0.
53
45
28

Answers

the answer is A. 28/53

Use the calculator to evaluate each expression. Round your answers to the nearest hundredth.(GIVING BRAINLEST TO BEST ANSWER)​

Answers

Answer:

tan 43 =.93

cos 67=.39

sin 39=.63

Step-by-step explanation:

tan 43 = .932515086=.93

cos 67=.390731128=.39

sin 39=.629320391=.63

construct a scale of A-sharp major on a treble staff in ascending order only​

Answers

Answer: In the picture from the basic music theory website's page on a-sharp  major scale

Step-by-step explanation: music theory

Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+ - =-4
a-25+2c=6
1
0
0
2
1
0
-2.
0
0
1
0
1
0
0
1
0
1
0
- 2
0
0
1
0
2
1
1
2.
-4

Answers

Answer:

The one that's include a rows 2 1 1 2

Answer:

A

Step-by-step explanation:

they wanted the reduced echelon form.

On Edge. btw

Which of these four sets of side lengths will form a right triangle? set 1 set 2 set 3 set 4

Answers

Answer:

hey um I cant see the picture

What is the scale factor of this dilation?

Answers

Step-by-step explanation:To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor.

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations.
x + y - z = -2
2x - y + 3z = 9
x - 4y - 2z = 1

Answers

Answer:

(x, y, z) =(1, -1,2)

Step-by-step explanation:

.............

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2 and a mean diameter of 200 inches.

If 83 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.2 inches? Round your answer to four decimal places.

Answers

Answer:

0.6372 = 63.72% probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.2 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Standard deviation of 2 and a mean diameter of 200 inches.

This means that [tex]\sigma = 2, \mu = 200[/tex]

83 shafts

This means that [tex]n = 83, s = \frac{2}{\sqrt{83}}[/tex]

What is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.2 inches?

Mean between 200 - 0.2 = 199.8 inches and 200 + 0.2 = 200.2 inches, which is the p-value of Z when X = 200.2 subtracted by the p-value of Z when X = 199.8.

X = 200.2

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

By the Central Limit Theorem

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

[tex]Z = \frac{200.2 - 200}{\frac{2}{\sqrt{83}}}[/tex]

[tex]Z = 0.91[/tex]

[tex]Z = 0.91[/tex] has a p-value of 0.8186

X = 199.8

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

[tex]Z = \frac{199.8 - 200}{\frac{2}{\sqrt{83}}}[/tex]

[tex]Z = -0.91[/tex]

[tex]Z = -0.91[/tex] has a p-value of 0.1814

0.8186 - 0.1814 = 0.6372

0.6372 = 63.72% probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.2 inches.

qual é a raiz quadrada de 84

Answers

9.16515138991 es la raíz cuadrada

Substance A decomposes at a rate proportional to the amount of A present. a) Write an equation that gives the amount A left of an initial amount A0 after time t. b) It is found that 8 lb of A will reduce to 4 lb in 4.6 hr After how long will there be only 1 lb left?
a) Choose the equation that gives A in terms of A0, t, and k, where k > 0.
b) There will be 1 lb left after 14 hr (Do not round until the final answer. Then round to the nearest whole number as needed.)

Answers

Answer:

(a) [tex]A = A_0 * e^{kt}[/tex]

(b) There will be 1lb left after 14 hours

Step-by-step explanation:

Solving (a): The equation

Since the substance decomposes at a proportional rate, then it follows the following equation

[tex]A(t) = A_0 * e^{kt}[/tex]

Where

[tex]A_0 \to[/tex] Initial Amount

[tex]k \to[/tex] rate

[tex]t \to[/tex] time

[tex]A(t) \to[/tex] Amount at time t

Solving (b):

We have:

[tex]t = 4.6hr[/tex]

[tex]A_0 = 8[/tex]

[tex]A(4.6) = 4[/tex]

First, we calculate k using:

[tex]A(t) = A_0 * e^{kt}[/tex]

This gives:

[tex]A(4.6) = 8 * e^{k*4.6}[/tex]

Substitute: [tex]A(4.6) = 4[/tex]

[tex]4 = 8 * e^{k*4.6}[/tex]

Divide both sides by 4

[tex]0.5 = e^{k*4.6}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.5) = \ln(e^{k*4.6})[/tex]

This gives:

[tex]-0.6931 = k*4.6[/tex]

Solve for k

[tex]k = \frac{-0.6931}{4.6}[/tex]

[tex]k = -0.1507[/tex]

So, we have:

[tex]A(t) = A_0 * e^{kt}[/tex]

[tex]A(t) = 8e^{-0.1507t}[/tex]

To calculate the time when 1 lb will remain, we have:

[tex]A(t) = 1[/tex]

So, the equation becomes

[tex]1= 8e^{-0.1507t}[/tex]

Divide both sides by 8

[tex]0.125= e^{-0.1507t}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.125)= \ln(e^{-0.1507t})[/tex]

[tex]-2.0794= -0.1507t[/tex]

Solve for t

[tex]t = \frac{-2.0794}{-0.1507}[/tex]

[tex]t = 13.7983[/tex]

[tex]t = 14[/tex] --- approximated

What's the LCM of 16,24,40

Answers

Step-by-step explanation:

explanation is in the attachment

hope it is helpful to you

A.85
B.98
C.102
D.34

Answers

Answer:

C. 102

Step-by-step explanation:

[tex]{hope it helps}}[/tex]

simplify: 6x²+35x-6÷ 2x²-72

Answers

Step-by-step explanation:

this will be the answer of the question where quotient is 3 and the remainder is 35x + 210

Answer:

[tex]\frac{6x - 1}{2(x - 6)}[/tex]

Step-by-step explanation:

[tex]6x^2 + 35x - 6 \ \div \ 2x^2 - 7 2\\\\6x^2 + 36x - x - 6 \ \div \ 2(x^2 - 36)\\\\6x(x + 6) - 1(x + 6) \ \div \ 2(x^2 - 6^2)\\\\(6x - 1)(x + 6) \ \div \ 2(x- 6)(x+ 6) \ \ \ \ \ \ \ \ \ \ [ \ x^2 -a^2 = (x-a)(x+a) \ ]\\\\\frac{(6x - 1)(x + 6) }{2(x- 6)(x+ 6)} = \frac{6x - 1}{2(x-6)}[/tex]

what do you call the middle value in the set of the data or quantities a mean b. median c.mode d.range​

Answers

Answer:

median is the middle value

mean is the average

mode is the one that occurs most

range is the highest number - lowest number

HELP!!

What are extraneous solutions to rational and radical equations? How do they arise? How do we check if a solution is extraneous? Use these equations as examples to help you explain:

Answers

Answer:

In general, extraneous solutions arise when we perform non-invertible operations on both sides of an equation. ... Squaring (or raising to any other even power) is a non-invertible operation. Solving equations involving square roots involves squaring both sides of an equation

Step-by-step explanation:

I hope this will help u

Rewrite the following subtraction problem as an addition problem.

Answers

Answer:

x+129=592

Step-by-step explanation:

add 129 to each side

A company wants to estimate, at a 95% confidence level, the proportion of all families who own its product. A preliminary sample showed that 30.0% of the families in this sample own this company's product. The sample size that would limit the margin of error to be within 0.047 of the population proportion is:

Answers

Answer:

The sample size is of 366.

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 of:

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

A preliminary sample showed that 30.0% of the families in this sample own this company's product.

This means that [tex]\pi = 0.3[/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].

The sample size that would limit the margin of error to be within 0.047 of the population proportion is:

This is n for which [tex]M = 0.047[/tex]. So

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

[tex]0.047 = 1.96\sqrt{\frac{0.3*0.7}{n}}[/tex]

[tex]0.047\sqrt{n} = 1.96\sqrt{0.3*0.7}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3*0.7}}{0.047}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3*0.7}}{0.047})^2[/tex]

[tex]n = 365.2[/tex]

Rounding up:

The sample size is of 366.

Determine the validity of each the following arguments. If the argument is one of those listed in the text, name it.

a. She uses e-commerce or she pays by credit card.
b. She does not pay by credit card.
c. She uses e-commerce

Answers

Answer:

Step-by-step explanation:

We will design a truth table to determine the validity of the provided arguments.

As a result, we have the following presumption:

Assume "p" stands for "she shops online(e-commerce)" and "q" stands for "she pays with a credit card."Also, she utilizes e-commerce or pays with a credit card, resulting in "p Vs q".She doesn't pay with a credit card, therefore -commerce becomes "™q → p".

Now;

p            q             ™q             p Vs q              ™q →p

T            T              F                 T                         T

T            F              T                 T                         T

F            T              F                 T                         T

F            F              T                 F                         F

Conclusion:

The given arguments are valid.

Is The slope of a line perpendicular to y = 2x + 1 is -2.
d

Answers

Answer:

-1/2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals

the negative reciprocal of 2 is -1/2

How do I solve this and do the explanation of it

Answers

Answer:

180-66

114

hope it helps mark as brainlist

What is the measure of each exterior angle of the right triangle?
x =
y =
z =

Answers

Answer:

x = 90

y = 134

z = 136

Step-by-step explanation:

Sum of interior angles of a triangle are 180

Linear angles are 180

So 180 - 90 = 90

180 - 44 = 136

180 - 90-44 = 46

180 - 46 = 134


Determine the equation of the circle shown in the graph.

Answers

Answer:

B.

Step-by-step explanation:

The equation of a circle with center at (h, k) and radius r is

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

We have center at (-5, 0). That makes h = -5, and k = 0.

The radius is 3, so r = 3.

[tex] (x - (-5))^2 + (y - 0)^2 = 3^2 [/tex]

[tex] (x + 5)^2 + y^2 = 9 [/tex]

Answer: B.

Answer:

B

Step-by-step explanation:

The equation of a circle has the form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center of the circle and r is the radius.

From the graph, we can see that the center of the circle is at (-5, 0). So, (h, k) is (-5, 0), where h = -5 and k = 0.

And by counting, we can determine that the radius of the circle is three units. Hence, r = 3.

Substitute the information into the equation:

[tex](x-(-5))^2+(y-(0))^2=(3)^2[/tex]

Simplify. Therefore, our equation is:

[tex](x+5)^2+y^2=9[/tex]

Our answer is B.

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