Mathematics College

A certain ball bearing is made of a grade of steel with a density of 4.5 ounces per cubic inch. The ball bearing is a solid sphere with a diameter of 3 inches.

What is the total weight of the ball bearing, in ounces? Use 3.14 for π .

A. 63.585 ounces

B. 127.17 ounces

C. 190.755 ounces

D. 508.68 ounces

Answers

Answer 1

Answer:

Answer A dûmb asš got me wrong

Step-by-step explanation:

Related Questions

What is the amplitude of the function?

Answers

Answer:

Step-by-step explanation:

The amplitude is half of the range.

a=(maximum-minimum)/2, in this case

a=(2-(-4))/2

a=6/2

a=3

The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60,000, his monthly income is The variable x represents in the inverse function. If John's spending limit is

Answers

1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)

2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.

Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation

Use the expression 7.6s+(45÷9)−15 to answer 9–10.
9.
Which part of the expression represents a quotient? Describe its parts.
10.
Which part of the expression represents a product of two factors? Describe its parts.
9. The part of the expression that represents a quotient is
10. The part of the expression that represents a product of two factors is

Answers

Answer:

45 ÷ 9, 7.6s

Step-by-step explanation:

9) A quotient is a result of dividing a quantity by another quantity. We see that 45 ÷ 9 is a form of division. We could say that 45 is divided into 9 parts. 45 ÷ 9 can also be written in fractional form: [tex]\frac{45}{9}[/tex]. Lastly, we see that the quotient would be 5.

10) A product is a result of multiplying a quantity by another quantity. We see that 7.6s is a simplified form of multiplication that actually represents 7.6 × s.

7.6 is a known numerical value. It is the coefficient of the variable x, which we do not know the value for.

Which net can be folded to form a triangular pyramid?

Answers

The net that can be folded to form a triangular pyramid is net b

How to determine the net that can be folded

From the question, we have the following parameters that can be used in our computation:

The nets in the list of options

As a general rule, a triangular pyramid has 4 triangles such that

Three triangles are adjacent and one triangle is at the top or at the bottom

using the above as a guide, we have the following:

The net that can be folded to form a triangular pyramid is net b

Read more about triangular pyramid at

https://brainly.com/question/16205402

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A coin will be tossed three times, and each toss will be recorded as heads (H) or tails (T). Give the sample space describing all possible outcomes. Then give all of the outcomes for the event that the third toss is heads. Use the format to mean that the first toss is heads, the second is tails, and the third is heads. If there is more than one element in the set, separate them with commas.

Answers

Answer:

Sample space:

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

Third toss is heads:

{HHT, HTT, THT, TTT}

First toss is heads, second tails and third heads:

{HTH}

Explanation:

In order to find the sample space we need to write all the possible outcomes from tossing the coin three times.You can start by writting all the possible outcomes for the first toss being a head and finish with all the possible outcomes for the first toss being Tails. The number of elements in the sample space can be found by multiplying the possible outcomes of each toss together, so 2*2*2=8

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For the third toss being heads we will have one restriction this time. Which is that the third toss is Tails. You can take the elements from the sample space where the third element is a tails. In this case, the number of elements can be calculated by multiplying the possible outcomes for only the first two tosses 2*2=4

{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

For first toss is heads, second tails and third heads there is only one possible way for you to get this outcome so there is only one element to this set.

{HTH}

Dean Webber purchased 4 smoothies for $19.60. At this price, what is the cost per smoothie?

Answers

divide four by 19.60
4.9 is the cost per smoothie

Answer:

Answers

Answer:

The answer is 7 + 11i

Step-by-step explanation:

Evaluate √−6x^2 + 4x when x = −6

Answers

Answer:

− 24 + 6 i √ 6

Step-by-step explanation:

What is the area of the figure?
O 11 square units
O 18 square units
24 square units
32 square units

Answers

Answer:

Step-by-step explanation:

Answer:

yes 18 is correct

Step-by-step explanation:

Can someone help me please??

Answers

add all the sides together
10+15+7+8+8+2=50 ft

Answer:

the perimeter is just the distance around the shape so 7+10+15+8+8+2=50

PLEASE HELP
Which element should you not include in a summary for a book review?

a brief description of setting

the story's ending

explanation of theme

how the main conflict is resolved

Answers

[tex]\frac{8x}{8} = \frac{144}{8}[/tex]

x = 18

Kenneth is painting his kitchen and bathroom. He bought 5 gallons of paint to paint the two rooms. He uses 1/4 of that amount to paint the bathroom and the rest to paint the kitchen.

Answers

Answer:

He used 1.25 gallons for the bathroom, and he used 3.75 gallons for the kitchen.

Step-by-step explanation:

1/4=25%=.25

Multiply 5 by .25

5*.25=1.25

Subtract 1.25 from 5

5-1.25=3.75

1.25 gallons for bathroom

3.75 gallons for kitchen

Hopefully this was helpful.

Answer pleaseeeeeeee

Answers

0.8 is the greatest and 1/9 is the least

2(T+1)=10 what does t equals ?

Answers

2(T+1)=10
2t+2=10
move 2 to the other side , making it negative
2t=10-2
2t=8
divide both sides by 2
t=4

2(T+1)=10
2T+2=10
2T=10
T=5

What is the resulting integral?

Answers

Answer:

[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx = \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Antiderivatives - Integrals

Integration Constant C

U-Substitution

U-Solve

Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {\frac{2}{(1 + \sqrt{x})^5}} \, dx[/tex]

Step 2: Identify Variables

Find the variables u-solve using u-substitution.

U-Substitution

[tex]\displaystyle u = 1 + \sqrt{x}[/tex]

[tex]\displaystyle du = \frac{1}{2\sqrt{x}}dx[/tex]

U-Solve

[tex]\displaystyle x = (u - 1)^2[/tex]

[tex]\displaystyle dx = 2\sqrt{x}du[/tex]

Step 3: Integration

[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{x})^5}} \, dx[/tex][Integral] U-Solve: [tex]\displaystyle 2\int {\frac{1}{(1 + \sqrt{(u - 1)^2})^5}} \, 2\sqrt{x}du[/tex][Integral] Simplify: [tex]\displaystyle 2\int {\frac{2\sqrt{x}}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle 4\int {\frac{\sqrt{x}}{u^5}} \, du[/tex][Integral] U-Solve: [tex]\displaystyle 4\int {\frac{\sqrt{(u - 1)^2}}{u^5}} \, du[/tex][Integral] Simplify: [tex]\displaystyle 4\int {\frac{u - 1}{u^5}} \, du[/tex][Integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle 4[\int {\frac{u}{u^5}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Simplify: [tex]\displaystyle 4[\int {\frac{1}{u^4}} \, du - \int {\frac{1}{u^5}} \, du][/tex][Integrals] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\int {u^{-4}} \, du - \int {u^{-5}} \, du][/tex][Integrals] Reverse Power Rule: [tex]\displaystyle 4[\frac{u^{-3}}{-3} - \frac{u^{-4}}{-4}] + C[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 4[\frac{-1}{3u^3} + \frac{1}{4u^4}] + C[/tex][Brackets] Multiply: [tex]\displaystyle \frac{-4}{3u^3} + \frac{4}{4u^4} + C[/tex]Back-Substitute: [tex]\displaystyle \frac{-4}{3(1 + \sqrt{x})^3} + \frac{4}{4(1 + \sqrt{x})^4} + C[/tex]Combine: [tex]\displaystyle \frac{-(4\sqrt{x} + 1)}{3(\sqrt{x} + 1)^4} + C[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

A manufacturing company with 350 employees is changing the employee health insurance plan to either plan A or plan B. The company wants to know if employees have a preference between the two plans and whether or not preference differs between those employees who have family members covered under the current plan (group 1) and those who do not (group 2). The human resources office takes a simple random sample from each of the two groups, sends information about both plans to the employees in each sample, and asks them whether they prefer plan A or plan B. The table summarizes the responses received, with expected cell counts in parentheses.

Plan A Plan B Total
Yes (group 1) 40 (32.5) 20 (27.5) 60
No (group 2) 6 (13.5) 19 (11.5) 25
Total 46 39 85

Which statement is true about whether the conditions for the chi-square test for homogeneity have been met?
a. A simple random sample should have been taken from all the employees, and then each employee in the sample should have been asked their plan preference and whether or not they have family members covered under the current health insurance plan.
b. The expected cell counts are not large enough to apply the chi-square test for homogeneity.
c. The total sample size is not large enough to apply the chi-square test for homogeneity.
d. The total sample size is too large to apply the chi-square test for homogeneity.
e. All conditions necessary to apply the chi-square test for homogeneity are satisfied here.

Answers

Answer: D. The total sample size is too large to apply the chi-square test for homogeneity.

Step-by-step explanation: When sampling without replacement, the sample size should not exceed 10 percent of the population size. Here, the sample size of 85 is just over 24 percent of the population of 350 company employees.

The total sample size is too large to apply the chi-square test for homogeneity.

We have given that,

A manufacturing company with 350 employees is changing the employee health insurance plan to either plan A or plan B.

Plan A Plan B Total

yes(group 1) 40(32.5) 20(27.5) 60

No (group 2) 6 (13.5) (11.5) 25 25

Total 46 39 85

We have to find which statement is true,

What is sampling without replacement?

Each sample unit of the population has only one chance to be selected in the sample. we can select one sample only way and after selection we cannot pot this sample in the sample space again.

The sample size should not exceed 10 percent of the population size.when we use sampling without replacement,

Here, the sample size of 85 is just over 25 percent of the population of 350 company employees.

Therefore,the total sample size is too large to apply the chi-square test for homogeneity.

To learn more about the sample space replacement and without replacement visit:

https://brainly.com/question/17042101

Pls Answer correctly and I’ll give you the brainliest

Answers

Answer: x=7

Step-by-step explanation:

plug y into equation...

x-(-4x+23)=12

solve...

x+-1(-4x+23)=12

x+-1(-4x)+-1(23)=12

x+4x-23=12

5x-23=12

5x=35

x=7

Help me with this, please!

Answers

Answer:

....

Step-by-step explanation:

The answer is a, yes yes

.....

Step-by-step explanation:

The answer is A yes. yes

For the linear function, y increases by a
of 3 each time x increases by 1.
For the exponential function, y increases by a(n)
of 3.

Answers

Answer:

The linear equation is:

y = 3*x

when x = 1

y = 3*1 = 3

when x = 2

y = 3*2 = 6

Then as x increases one unit, y increases 3 units.

Then the correct statement would be something like:

"For the linear function, y increases by a sum of 3 each time x increases 1"

The exponential function is:

y = 3^x

When x = 1

y = 3^1 = 3

When x = 2

y = 3^2 = 3*3

when x = 3

y = 3^3 = 3*3*3

So when x increases by 1, we multiply the previous value of y by 3.

Then the correct sentence is something like:

"For the exponential function, y increases by a factor of 3".

Answer: for the linear function y increases by a difference

for the exponential function y increases by a(n) ratio.

Step-by-step explanation:

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=-5/2x-1
O y= -5/2x+ 5
O y=2/5x-1
O y=2/5x+5

Answers

Answer:

[tex]y = -\frac{5}{2}x-1[/tex]

Step-by-step explanation:

5x + 2y = 12

2y = -5x + 12

[tex]y = -\frac{5}{2}x +6[/tex]

Parallel lines have the same slope so the -5/2 remains. Just remove the b value (6) and plug in (-2,4) to the x and y spots.

[tex](4) = -\frac{5}{2}(-2) + b[/tex]

4 = 5 + b

b = -1

The new equation is [tex]y = -\frac{5}{2}x-1[/tex]

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