HELP MEEEEEEEEEEEEEEEEE

The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.

Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.

The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.

The change in surface area can be calculated as:

ΔA = ∫(6x²) dx,

where the integral is taken from the initial side length "s" to the final side length "3s".

Now let's evaluate the integral:

∫(6x²) dx = 2x³ + C,

where C is the constant of integration.

To find the change in surface area, we substitute the limits of integration:

ΔA = [2x³]s to 3s

= 2(3s)³ - 2s³

= 2(27)s³ - 2s³

= 52s³

Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

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The percentile rank for the employee with 17 years of experience is B: 78.57%.

To find the percentile rank, we first need to arrange the work experiences in ascending order:

2 4 6 7 8 8 8 11 11 11 14 17 21 27

Next, we need to find the position of the employee with 17 years of experience in the list. In this case, the employee is in the 12th position.

Finally, we can use the formula for percentile rank:

Percentile rank = (Position of the employee / Total number of employees) x 100

= (12 / 14) x 100

= 0.857 x 100

= 85.7%

Therefore, the percentile rank for the employee with 17 years of experience is 78.57%. The correct answer is B) 78.57%.

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Complete question

The work experiences (in years) of 14 employees of a company are 8 21 11 4 14 17 11 8 8 7 2 11 27 6

The percentile rank for the employee with 17 years of experience is: A) 62.96% B) 78.57% C) 68% D) 85.71%

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Using probability of union set,

the probability that person you choose is either a woman or has never been married is 0.66..

We have given that

If X be random variable that an American adult selected.

Assume that

A : selected adult is a women

B : selected adult has never married

Probability that you choose a woman, P(A) = 0.52

Probability that the person you choose has never been married , P(B) = 0.25

Probability that you choose a woman who has never been married , P(A∩B) = 0.11

we have to calculate probability that person you choose is either a woman or has never been married, P(A∪B)

Using the formula,

P(A∪B ) = P(A) + P(B) - P(A∩B)

pluging all known values in above formula we get

=> P(A∪B ) = 0.52 + 0.25 - 0.11

=> P(A∪B) = 0.77 - 0.11 = 0.66

Hence, the required probability is 0.66..

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93 because 100% of any number is that number

Answer: 93

Step-by-step explanation:

First, put 100% of what = 93 into an equation, when the missing number is x, and 100% is equal to 1:

1x=93

Then, divide each side by 1:

1x/1 = 93/1

Which means you get x = 93

You can also simplify 1x to x and get x=93

I hope this makes sense! :)

DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

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Answer: x= 1 + i √ 47/6

Step-by-step explanation: solve using the quadratic formula

Solve using the quadratic formula.

Answer:

the answer would be B

Step-by-step explanation:

solve using quadriatic formula because we are doing quadriatics

The 95 percent confidence interval for the true population mean systolic blood pressure is approximately [120.6192, 125.3808].

To construct a 95 percent confidence interval for the true population mean systolic blood pressure, we can use the formula:

Confidence Interval = [sample mean - margin of error, sample mean + margin of error]

First, we need to calculate the margin of error. The formula for the margin of error is:

Margin of Error = (critical value) * (standard deviation / √sample size)

Since we're constructing a 95 percent confidence interval, we need to find the critical value corresponding to a 95 percent confidence level. With a sample size of 100, we have degrees of freedom (n-1) = 99.

Looking up the critical value in the t-distribution table or using statistical software, we find that the critical value for a 95 percent confidence level and 99 degrees of freedom is approximately 1.984.

Now, let's calculate the margin of error:

Margin of Error = 1.984 * (12 / √100)

              = 1.984 * 1.2

              = 2.3808

Next, we can construct the confidence interval:

Confidence Interval = [sample mean - margin of error, sample mean + margin of error]

                   = [123 - 2.3808, 123 + 2.3808]

                   = [120.6192, 125.3808]

Therefore, the 95 percent confidence interval for the true population mean systolic blood pressure is approximately [120.6192, 125.3808].

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Step-by-step explanation:

a) We can use the formula:

Amount earned per day = Amount kept + Amount given away

where "Amount earned per day" is the amount Tom earns in one day, "Amount kept" is the amount Tom keeps for himself each day, and "Amount given away" is the amount Tom gives to his mom each day.

Using the given information, we can plug in the values:

$40 = Amount kept + $8 x 4

Simplifying this equation, we get:

$40 = Amount kept + $32

Subtracting $32 from both sides, we get:

$8 = Amount kept

Now, we need to find the amount Tom gets paid each hour, which we can represent as "h". We know that Tom works 4 hours a day, and for each hour he works, he puts $8 aside for his mom. Therefore, the amount he earns each day can be expressed as:

Amount earned per day = h x 4

We also know that Tom keeps $8 for himself each day, so we can rewrite the equation as:

Amount earned per day = Amount kept + Amount given away

h x 4 = $8 + Amount given away

Substituting the value we found for "Amount kept", we get:

h x 4 = $8 + Amount given away

h x 4 = $8 + $32

h x 4 = $40

Dividing both sides by 4, we get:

h = $10

Therefore, Tom gets paid $10 per hour.

Answer:

150

Step-by-step explanation:

The number is 19.

To find the number when the product of 12 and that number is 228, we can use a basic algebraic equation.

Let x be the number we are looking for. Then we can write the equation as:

12x = 228

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides by 12:

12x/12 = 228/12

x = 19

Therefore, the number we are looking for is 19. We can check our answer by substituting 19 for x in the original equation:

12 x 19 = 228

228 = 228

The equation is true, so our answer of x = 19 is correct. Hence, the number we are looking for is 19.

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There are 21 unique ways the first and second place ribbons can be awarded.

The given information can be solved using permutations. The total number of ways the first and second place ribbons can be awarded is: `7P2`The formula for permutation is given by:nPr = n!/(n-r)!Where, n is the total number of objects and r is the number of objects to be arranged in a permutation.

As per the given question, n = 7 (number of contestants) and r = 2 (number of ribbons).Therefore, the total number of ways the first and second place ribbons can be awarded is:7P2 = 7!/(7-2)! = 7!/5! = 7 x 6/2 x 1 = 21Thus, there are 21 unique ways the first and second place ribbons can be awarded.

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Total fixed cost is $6. The value of AFC is $6 / Q. Productive efficiency is greatest at Q = 4.5. Diminishing returns begin when Q = 3. The total fixed cost (TFC) does not change because it is fixed.

a) Total fixed cost is $6

b) We can obtain the average fixed cost function (AFC) from the total fixed cost (TFC) by dividing it by output (Q) as follows: AFC = TFC / Q. So, the value of AFC is $6 / Q.

c) The AVC function is calculated by dividing total variable cost (TVC) by output (Q).

STC = TFC + TVC6 + 9Q - 3Q2 + (1/3)Q3TVC = 9Q - 3Q2 + (1/3)Q3AVC = TVC / QAVC = (9Q - 3Q2 + (1/3)Q3) / QAVC = 9 - 3Q + (1/3)Q2

d) The MC function is derived by taking the first derivative of the STC function with respect to output (Q). The derivative of the STC function is: MC = dSTC / dQMC = 9 - 6Q + Q2

e) As Q approaches infinity, the denominator of AFC becomes larger and larger. So, AFC approaches zero as Q gets very large. This implies that fixed costs per unit decrease as production quantities get larger.

f) We can find the value of Q at which AVC is a minimum by taking the first derivative of the AVC function and setting it equal to zero. The first derivative of AVC is: AVC = 9 - 3Q + (1/3)Q2

dAVC / dQ = -3 + (2/3)Q= 0

Q = 4.5

g) Productive efficiency is greatest when AVC is at its minimum. Therefore, productive efficiency is greatest at Q = 4.5.

h) We can demonstrate that the value of SMC equals the value of AVC at the value of Q where AVC is a minimum by plugging Q = 4.5 into both the AVC and MC functions. AVC = 9 - 3(4.5) + (1/3)(4.5)2AVC = 7.125MC = 9 - 6(4.5) + 4.52MC = 7.125

Since SMC = MC, we can conclude that SMC equals AVC at the value of Q where AVC is a minimum.

i) In the short run, the total fixed cost (TFC) does not change because it is fixed. Therefore, the derivative of the STC function with respect to output (Q) is equal to the derivative of the TVC function with respect to output (Q). This means that dSTC / dQ = dTVC / dQ.

j) Increasing returns to scale cease when the marginal cost (MC) is equal to average total cost (ATC). Diminishing returns to scale begins when MC exceeds ATC. ATC is calculated by dividing the total cost (TC) by output (Q). TC is calculated by adding total fixed cost (TFC) and total variable cost (TVC).

ATC = TC / QATC = (6 + 9Q - 3Q2 + (1/3)Q3) / Q

Now, we can find the level of Q where increasing returns to scale cease by calculating the first derivative of ATC and setting it equal to zero.

ATC = (6 + 9Q - 3Q2 + (1/3)Q3) / QdATC / dQ = (6 - 6Q + Q2) / Q2= 0

Q = 3

Now, we can calculate the marginal cost function and find the level of Q where diminishing returns begins. We know that diminishing returns begin where the marginal cost is at its minimum.

MC = 9 - 6Q + Q2MC = 9 - 6(3) + 32MC = 3

So, diminishing returns begin when Q = 3.

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Answer:

722900

Step-by-step explanation:

You look at the ones place, and since it is 9, you make the 9 in the tens place a 0, and then regroup the one and add it to the 8 in the hundreds place. So your answer would be 722900

Answer:

Answer:

y = 3x - 10

Step-by-step explanation:

Answer:

y = 3x -10

Step-by-step explanation:

Slope intercept form is y = mx+b  where m is the slope and b is the y intercept

-9x +3y =-30

Add 9x from each side

-9x+9x +3y =9x-30

3y = 9x-30

Divide each side by 3

3y/3 = 9x/3 -30/3

y = 3x -10

If Sydney wants to share her remaining tickets with 4 of her friends , then the fraction of original arcade tickets will Sydney and her 4 friends each receive is 1/15 .

The fraction of tickets that is left with Sydney is = 1/3 .

she wants to share tickets with 4 of her friends ,

So , the number of persons the tickets are shared is = 4 + 1 =  persons ,

So , the 1/3 left will be shared by 5 persons ,

Each person will receive = [1/3]/5 .

= (1/3) × (1/5)

= 1/15 .

Therefore , the fraction of original arcade tickets that Sydney and her 4 friends each receive is 1/15 .

The given question is incomplete , the complete question is

Sydney has 1/3 of her arcade tickets left over after she gets a prize. she wants to share her remaining arcade tickets with 4 of her friends. what fraction of the original arcade tickets will Sydney and her 4 friends each receive ?

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The number of countries that have both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is approximately 174.

To understand the answer, we can interpret the given frequency as a probability. The frequency of 0.174 indicates that out of all countries in North America, 17.4% (or 0.174 as a decimal) have both a population density of fewer than 100,100,100 per square kilometer and a medium population.

To calculate the number of countries, we would multiply this probability by the total number of countries in North America. However, the total number of countries in North America is not provided in the given information. Therefore, without knowing the total number of countries, we cannot provide an exact count of the countries that meet the specified criteria.

In summary, the given information states that the frequency of countries with both a population density of fewer than 100,100,100 per square kilometer and a medium population among all countries in North America is 0.174. However, without the total number of countries in North America, we cannot determine the exact count of countries that meet the specified criteria.

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The required additional combinations would this allow is 770.

Mathematical technique that decides the quantity of potential game plans in an assortment of things where the request for the choice doesn't make any difference. In mixes, you can choose the things in any request. Combinations can be mistaken for changes.

Right now there are ¹⁰C₅ possible combinations. With any number x from 1 to 9, the quantity of ways of picking a bunch of x buttons is ∑₁⁹ ¹⁰Cₐ

Using identity,

∑ⁿₐ ⁿCₐ = 2ⁿ

So the quantity of extra combinations is simply,

2¹⁰ - ¹⁰C₀ - ¹⁰C₁₀ - ¹⁰C₅

1024 - 1 - 1 - 252 = 770

Thus, possible combinations are 770.

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the statement that approximately 15.87% of students paid more than Jane for textbooks, it means that out of a given group of students, around 15.87% of them paid a higher price for textbooks compared to what Jane paid.

To find the percentage of students who paid more than Jane for textbooks, we need to calculate the area under the normal distribution curve to the right of Jane's value. Here are the steps:

Step 1: Standardize Jane's value using the z-score formula:

z = (x - μ) / σ

Where:

x = Jane's value ($550)

μ = Mean of the distribution ($500)

σ = Standard deviation of the distribution ($50)

z = (550 - 500) / 50

z = 50 / 50

z = 1

Step 2: Find the percentage of students who paid more than Jane by looking up the z-score in the standard normal distribution table or using a calculator. The standard normal distribution table provides the percentage of the area under the curve to the left of a given z-score. Since we want the percentage of students who paid more than Jane, we subtract the percentage from 1. Using the z-score of 1, we can find the percentage as follows:

Percentage = (1 - Area to the left of z-score) * 100

Using the standard normal distribution table or a calculator, we find that the area to the left of a z-score of 1 is approximately 0.8413.

Percentage = (1 - 0.8413) * 100

Percentage ≈ 15.87%

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Answer:

7/12

Step-by-step explanation:

multiply 2/3 by 4 on both the numerator and denominator which is 8/12

8/12-1/12=7/12 (final answer because it cannot be simplified)

It can be shown that ff(x) = 9x - 48 and holds for all values of x, and thus the function is verified.

A function, in mathematics is described as an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable(dependent variable).

To show that ff(x) = 9x - 48, we will to prove that for any value of x that we substitute into the function, we will see a corresponding value of ff(x) as the result.

Substituting  an arbitrary value of x into the function ff(x) and simplifying the expression:

ff(x) = 9x - 48

ff(a) = 9a - 48 (substituting x with a)

This means that when we substitute x with a, the value of ff(x) becomes 9a - 48.

In conclusion, it can be shown that ff(x) = 9x - 48 holds for all values of x, and thus the function is verified.

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Answer:

hgfdfghhgfd

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

#B4nliest!

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

Answer:

In a word processing document or on a separate piece of paper, use the guide to construct a two-column proof proving that lines l and m are parallel.

Answer: 14 months.

Step-by-step explanation:

Given: Original amount = $ 200

Fixed rate of growth = $15 per month

Let x be the number of months that Cheryl has to keep the money in the account for.

Then, \(200+15x=2(200)\)

\(\Rightarrow\ 200+15x>400\\\\\Rightarrow\ 15x >400-200\\\\\Rightarrow\ 15x>200\\\\\Rightarrow x>\dfrac{200}{15}\\\\\Rightarrow x>13.333333\\\\\Rightarrow\ x=14\)

Hence, it will take 14 months .

The graph is a dashed line, shaded area below the boundary line since y is less than (3/4)x + 1).

Given the inequality in the question;

-3x + 4y < 4

First, rearrange the inequality in slope-intercept form ( y = mx + b )by solving for y.

-3x + 4y < 4

4y < 3x + 4

Divide each term by 4

4y/4 < 3x/4 + 4/4

y < (3/4)x + 1

Now, compare to the slope-intercept form ( y = mx + b )

y < (3/4)x + 1

Slope m = 3/4

b = 1 which gives the y-intercept: ( 0,1 ).

Now, graph a dashed line, then shade the area below the boundary line since y is less than (3/4)x + 1 ( y < (3/4)x + 1 ).

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Answer:

B. 6

Step-by-step explanation:

3³ x 3³ = 3⁶

The answer is 6

Answer:

B) 6

Step-by-step explanation:

The reason for this is really awesome and is clearly seen when you expand it.

x^3= x times x times x

x^3= x times x times x

x^3 times x^3= x times x times x times x times x times x= x^6