A sphere has a radius of 7.9 cm. Calculate the spheres volume. Use 3.14 and don't round.

Answers

Answer 1

Answer:

[tex]\displaystyle V = 2064.19 \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

r = 7.9 cm

Step 2: Find Volume

Substitute in variables [Volume of a Sphere Formula]:                                 [tex]\displaystyle V = \frac{4}{3}(3.14)(7.9 \ cm)^3[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle V = \frac{4}{3}(3.14)(493.039 \ cm^3)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = 2064.19 \ cm^3[/tex]

Related Questions

at 90kph, how far do you travel in 6 hours​

Answers

Answer:

540 km

Step-by-step explanation:

You find distance by multiplying rate and time. Rate is 90, and time is 6. 90 x 6 = 540 km

At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?

Answers

Answer:

6 meters

Step-by-step explanation:

Area is length times width. If the width is 10 and the area is 60, then you would find 10 times ??? equals 60. Or 60 divided by 10. which is 6

if gh¢400.00 is deposited at a bank at 10 per annum compounded quarterly, how long will it take the deposit to double it value.​

Answers

Answer:

~ 7 years

Step-by-step explanation:

2 = (1 + .1/4)^(4t)

2 = (1.025)^(4t)

Take the log of both sides

log2 = 4t * log1.025

divide both sides by log1.025

log2/log1.025 = 4t

28.07103452593863 = 4t

Divide both sides by 4

7.017758631484657 = t

~ 7 years

A small country emits 50,000 kilotons of carbon dioxide per year. In a recent global agreement, the country agreed to cut its carbon emissions by 1.1% per year for the next 6 years. In the first year of the agreement, the country will keep its emissions at 50,000 kilotons and the emissions will decrease 1.1% in each successive year. How many total kilotons of carbon dioxide would the country emit over the course of the 6 year period, to the nearest whole number?

Answers

Answer:

291870 kilotons

Step-by-step explanation:

Since the country cuts its carbon content by 1.1% each year. The initial value at the first year is 50000. Therefore this can be represented by the exponential function:

y = a(b)ˣ ⁻ ¹

where y is the amount of carbon emission in kilotons in x years.

a = 50000, b = 100% - 1.1% = 98.9% = 0.989

y = 50000(0.989)ˣ ⁻ ¹

In the first year: y = 50000(0.989)¹ ⁻ ¹ = 50000

In the second year: y = 50000(0.989)² ⁻ ¹ = 49450

In the third year: y = 50000(0.989)³ ⁻ ¹ = 48906

In the fourth year: y = 50000(0.989)⁴ ⁻ ¹ = 48368

In the fifth year: y = 50000(0.989)⁵ ⁻ ¹ = 47836

In the sixth year: y = 50000(0.989)¹ ⁻ ¹ = 47310

The total emission in 6 years = 50000 + 49450 + 48906 + 48368 + 47836 + 47310 = 291870 kilotons


given the image below which segments are congruent

Answers

Answer:

-2+6=4

0+6=6

4+6=10

x+2=2. x=2-2. x=0

Step-by-step explanation:

hope this is helpful

Ms.Peralta's friend Mike is a construction worker. Mike gets paid $15 an hour. After working 9 hours he gets paid 1.25 times his hourly rate. Below you can find Mike's hours for last Friday. - Mike worked for 5 hours - took an 1 hr and 15 minute break for lunch (does not count toward his work hours) - worked for an additional 7.5 hours How much money did Mike make last Friday?

Answers

Answer:

Mike made $ 200.63 last Friday.

Step-by-step explanation:

Since Ms. Peralta's friend Mike is a construction worker who gets paid $ 15 an hour, and after working 9 hours he gets paid 1.25 times his hourly rate, and last Friday Mike worked for 5 hours - took an 1 hr and 15 minute break for lunch (does not count toward his work hours) - and worked for an additional 7.5 hours, to determine how much money did Mike make last Friday the following calculation must be performed:

5 + 7.5 = 12.5

12.5 - 9 = 3.5

9 x 15 + (3.5 x (15 x 1.25)) = X

135 + 3.5 x 18.75 = X

135 + 65.625 = X

200.63 = X

Therefore, Mike made $ 200.63 last Friday.

Find the volume of the prism.

Answers

Volume of prism= 6x(4+(1/5))x(8+(1/3))
Volume of prism= 3.024 yd^3

Explanation: Volume= L x W x H

look at pic 10 pts will mark brainilest zion ihsjzxu

Answers

Answer:

36

Step-by-step explanation:

You first solve 6x=72 which you divide 72/6 and get the answer x=12. You then replace x with 12 and do the order of operations. 12-3 then 9x4.

Answer:

Multiply using the distributive property.

B.

Please mark brainliest!

4x(a-b)+3(b-a) factorise

Answers

Answer:

-(a-b) (3-4x). hope this helps

Can somebody help me with this question

Answers

Answer:

y = -⅓x + 7

Step-by-step explanation:

Given the two points that lie on the line (3, 6) and (-3, 8), we can find the equation without the grid by finding the slope (m) and y-intercept (b).

The equation would be written in the form of y = mx + b (slope-intercept form):

✔️Find m:

Slope (m) = change in y/change in x

Slope using (3, 6) and (-3, 8), would be:

Slope (m) = (8 - 6)/(-3 - 3) = 2/-6

m = -⅓

✔️Find b:

Substitute (x, y) = (3, 6) and m = -⅓ into y = mx + b to find b

6 = -⅓(3) + b

6 = -1 + b

6 + 1 = b

b = 7

✅Write the Equation:

Substitute m = -⅓ and b = 7 into y = mx + b

Thus,

y = -⅓x + 7

Find the value of x to the nearest tenth

Answers

Answer:

a^2+b^2=c^2

6^2+6^2=72

square root of 72

=8.49(3sf)

c^2-b^2=a^2

=3

x=3

answer : 3

step by step:

this may seem hard but it is easy.

the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:

name the hypotenuse  x

then write the equation

x^2= 6^2 + 6^2

x^2= 72

take both the square root of them

x = 8.5

next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x

first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:

x^2 = 9^2 - 8.5^2

x^2 = 8.75

take square root of both

x = 3

The table shows the results of an experiment in which the spinner shown above was spun 50 times. Find the experimental probability of each outcome.
not shaded

Answers

Answer:

[tex]P(x < 4) = \frac{9}{50}[/tex]

Step-by-step explanation:

Given

[tex]n(S) = 50[/tex]

See attachment for distribution

Required

[tex]P(x < 4)[/tex]

This is calculated as:

[tex]P(x < 4) = \frac{n(1) + n(2) + n(3)}{n(S)}[/tex]

Using the data on the frequency distribution table, we have:

[tex]P(x < 4) = \frac{4 + 2 + 3}{50}[/tex]

[tex]P(x < 4) = \frac{9}{50}[/tex]

ally and bo share 60$ in the ratio 1:4 how much money does bo get

Answers

Answer: $240

Step-by-step explanation:

So 60 represents the 1, so multiply 60 by 4

Please answer step by step

Answers

[tex]27 {x}^{6} {y}^{9} [/tex]

Hope it helps you...

the ratio of berries to oranges is 10:1 if there are 25 oranges, how many berries are there?​

Answers

Answer:

250 berries

Step-by-step explanation:

berries : oranges

10              1

We have 25 oranges so we need to multiply each side by 25

berries : oranges

10*25          1*25

250               25

There are 250 berries

Answer: 250 berries

We can set up the proportion:

(10/1)=(x/25)

Then solve for x

One day a store sold 36 sweatshirts. White ones cost​ $10.95 and yellow ones cost $11.50. In​ all, ​$404.65 worth of sweatshirts were sold. How many of each color were​ sold?
The store sold ____ white sweatshirts

Answers

Answer:

17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

Step-by-step explanation:

Let w represent the number of white sweatshirts sold and y represent the number of yellow sweatshirts sold.

We can write a system of equations to represent the situation.

Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:

[tex]y+w=36[/tex]

And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:

[tex]10.95w+11.5y=404.65[/tex]

Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract w from both sides:

[tex]y=36-w[/tex]

Substitute this into the second:

[tex]10.95w+11.5(36-w)=404.65[/tex]

Distribute:

[tex]10.95w+414-11.5w=404.65[/tex]

Simplify:

[tex]-0.55w=-9.35[/tex]

Divide both sides by -0.55:

[tex]w=17[/tex]

So, 17 white sweatshirts were sold.

Using the modified equation, substitute:

[tex]y=36-(17)=19[/tex]

Therefore, 17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

help me pleaseeeeeeeeeeeee

Answers

Answer:

|7000 - w| < 1000

Step-by-step explanation:

6000 < w < 8000

Subtract 7000 from the three "sides."

-1000 < w - 7000 < 1000

|w - 7000| < 1000

|7000 - w| < 1000

How long would it take to fill up 480cm3 pool at 25litres a min

Answers

Answer:

the answer is 8cm i think

How can you use problem-solving strategies in solving personal, professional, and mathematical problems? Explain in 5-7 sentences and I WILL MARK YOU THE BRAINLIEST!!!

Answers

Answer:

You are fortunate that there are several excellent algorithms textbooks on the market. Many of them (including Introduction to Algorithms) have material on not just the algorithms, but the techniques you can use to develop algorithms. I recommend that you learn techniques such as divide-and-conquer, dynamic programming, greedy algorithms, and amortized analysis.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

When trying to solve a certain problem, different strategies must be applied that have the ability to solve the question in the most favorable way.

Thus, as a first step, the problem that is taking place, and the severity of it, must be identified. Then, proposals for solving the problem must be prepared, considering the pros and cons of each one, as well as their eventual cost. Subsequently, a main option and a plan B must be chosen with which to solve the question. Finally, the resolution plan must be executed.

Learn more in https://brainly.com/question/7208889

Help please!!! I don’t understand this question

Answers

Answer:

B) ASA - angle side angle

Hope it help

If the length of EG is 22, find the length of a EQ

Answers

Answer:

A. 11

Step-by-step explanation:

EQ is half of EG

so 22/2 = 11

EQ is 11 cause EG is a segment that has a measure of 22 and EQ is half of EG as shown is the diagram and in order to get 11 , you would do 22/2.

ANSWER: 11

A factory manufactures motorcycles. One of its employees, working in the quality control department, checks the first 10 and the last 10 motorcycles manufactured in a day. This is what type of sampling?

Answers

Answer:

Convenience sampling

Step-by-step explanation:

When sampling is done based in degree of ease or samples picked from observations that are easily accessible rather than prioritizing randomness or selection which will most be representative of the population, then such sampling is called convenience sampling. In some texts, it is also referred to as grab sampling as researchers choose from close, easy to reach samples. In the scenario above, the quality control takes the easy procedure of checking the first and last 10 motorcycles as this is easier than having to take samples at random tune intervals which will be a better representation of the entire motorcycles.

how do you write .00057 1/2 in words​

Answers

Answer:

Step-by-step explanation:

visit the following;

https://sciencing.com/write-fractions-words-4443134.html

PLZ HELP !!!
Solve for X

A) 6
B) 5
C) 4
D) 7

Answers

Answer B I’m pretty sure

please show your work​

Answers

Surface area of 5 sides of square = 5a²= 5×8.2×8.2=336.2 Cm²

Surface area of pyramid= a²+2a √a²/4+h²= 8.2²+2×8.2√67.24/4+ 4.41= 142.79

Surface area of composite shape = 336.2+142.79-67.24= 411.75~ 411.8 Cm² !

What is the solution to the equation?
^5 / x+7= -2 (A.) -39 (B.) -17 (C.) 25 (D.) no solution

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:-39}}}}}}[/tex]

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

[tex] \sqrt[5]{x + 7} = - 2[/tex]

➺[tex] \: x + 7 =( { - 2})^{5} [/tex]

➺[tex] \: x + 7 = ( - 2 \times - 2 \times - 2 \times - 2 \times - 2)[/tex]

➺[tex] \: x + 7 = - 32[/tex]

➺[tex] \: x = - 32 - 7[/tex]

➺[tex] \: x = - 39[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \sqrt[5]{x + 7} = - 2 \\\\ ➼ \: \sqrt[5]{ - 39 + 7} = - 2 \\ \\➼ \: \sqrt[5]{ - 32} = - 2 \\\\ ➼ \: \sqrt[5]{ - 2 \times - 2 \times - 2 \times - 2 \times - 2} = - 2\\ \\ ➼ \: \sqrt[5]{( { - 2})^{5} } = - 2\\ \\ ➼ \: - 2 = - 2 \\\\ ➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning. }}{\orange{❦}}}}}[/tex]

The solution of the given equation would be; x = -39.

What is the solution for an equation?

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

WE have been given an equation as,

[tex]\sqrt[5]{x+7} = -2[/tex]

WE need to find the solution of the given equation which can be calculated as;

[tex]\sqrt[5]{x+7} = -2[/tex]

First raise both sides to the power 5;

[tex](\sqrt[5]{x+7} )^5= -2^5[/tex]

Now x + 7 = - 32

subtract 7 from both sides, we get;

x = - 39  

Hence, the  solution of the given equation would be; x = -39.

Learn more about solving equations here:

https://brainly.com/question/13072448

#SPJ2

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.

1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4

Answers

Answer: 1.5 < x < 4

Step-by-step explanation:

Simply the following ratio 1000:540:780

Answers

This is my workings

In a sample of 230 teenagers, 202 would like to have smaller class sizes at their school. Find the sample
proportion, the margin of error, and the interval likely to contain the true population proportion. If
necessary, round your answers to the nearest percent.

Answers

Answer:

The sample proportion is 0.88.

The margin of error is of 0.04.

The interval likely to contain the true population proportion is (0.84,0.92).

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].

Margin of error:

The margin of error is of:

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

Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.

This means that [tex]n = 230[/tex], and that the sample proportion is:

[tex]\pi = \frac{202}{230} = 0.88[/tex]

The sample proportion is 0.88.

Standard 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].

Margin of error:

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

[tex]M = 1.96\sqrt{\frac{0.88*0.12}{230}}[/tex]

[tex]M = 0.04[/tex]

The margin of error is of 0.04.

Confidence interval:

Sample proportion plus/minus margin of error. So

0.88 - 0.04 = 0.84

0.88 + 0.04 = 0.92

The interval likely to contain the true population proportion is (0.84,0.92).

Reorder the premises to show that the conclusion follows as a valid consequence from the premises. You may restate them in if-then form or by their contrapositives. (5 pts)
(a) Things that taste good are expensive.
(b) Things that smell good taste good.
(c) Every object to the left of the tree is blue.
(d) All blue objects smell good. :.
Every object to the left of the tree is expensive.

Answers

Step-by-step explanation:

For this question, what we have to do is to rewrite and form some of these statements with their contrapositives

here is the reordering;

1. if Object is at the left of the tree, then it is blue

2. If the object is blue then it smells good.

3. If thus thing smells good then it tastes good.

4. If it tastes good then it is expensive

∴ every object to the left of the tree is expensive

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