Write the sentence as an inequality.
One-half of a number y is more than 22.
The inequality is

Let's see

\(\\ \rm\Rrightarrow \dfrac{s+1}{s^2+1}\div \dfrac{s^2}{6s^2}\)

\(\\ \rm\Rrightarrow \dfrac{s+1}{s(s+1)}\div\dfrac{1}{5s^2}\)

\(\\ \rm\Rrightarrow \dfrac{1}{s}\times{5s^2}\)

\(\\ \rm\Rrightarrow \dfrac{5s^2}{s}\)

\(\\ \rm\Rrightarrow 5s\)

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

e

The number of pages read by Soua in 10 minutes are 26.7 pages.

It is given in the question that Soua can read 8 pages in 3 minutes.

We have to find the number of pages that she will she read in 10 minutes.

We will use the unitary method for this question.

The method by which we find out the value of one unit and further use it to find the value of multiple units is known as the unitary method.

Pages read by Soua in 1 minute = 8/3 pages

Hence, we can write,

Pages read by Soua in 10 minutes = 10*(8/3) = 80/3 pages = 26 and(2/3) pages = 26.667 pages ≈ 26.7 pages.

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700 * 25/100 = 175

SP = MP - Discount

SP = 700 - 175

SP = $525

Bryan owns a clothing store,  Insurance: F , Internet bill: F , Clothes: V ,Employees' salaries: F

F is for fixed and V is for variable used .

Fixed cost :

Regardless of production output, fixed costs remain constant. Lease and rental payments, insurance, and interest payments are examples of fixed costs. Costs that are not affected by volume are known as fixed costs. Costs that are usually based on time rather than on how many products or services your company sells or produces are known as fixed costs. Rent and lease payments, salaries, utility bills, insurance, and loan repayments are all examples of fixed costs.

Costs that do not change when production or sales volumes increase or decrease are known as fixed costs. This is because they are not directly involved in providing a service or manufacturing a product. Consequently, fixed costs are regarded as indirect costs.

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Answer:

Step-by-step explanation:

Answer:

\(\sf Area = 10\dfrac{7}{8} \yd^2\)

Step-by-step explanation:

     Area = length *breadth

Convert the mixed fraction to improper fraction.

\(\sf 1\dfrac{1}{2}=\dfrac{3}{2} \ yd\)

\(\sf area = \dfrac{3}{2}*\dfrac{58}{8}\\\\\)

      \(\sf = \dfrac{3*29}{8}\\\\=\dfrac{87}{8}\\\\= 10\dfrac{7}{8} \ yd^2\)

Answer:

5 kdkdjdnndndjdjdjdjd

The equivalent choice of √7x √x+2 is x√7 + 2√7x

The product expression is given as:

√7x √x+2

Rewrite as:

√7x * (√x + 2)

Expand the bracket

√7x^2 + 2√7x

Take the square root of x^2

So, we have

x√7 + 2√7x

Hence, the equivalent choice of √7x √x+2 is x√7 + 2√7x

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Answer:

The answer is D. x=-1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Divide both sides by 10.

2. Add 4 to both sides.

3. Subtract 10x from both sides.

4. Divide both sides by -8.

The answer is D.

The value of "n" is 6.

"n" is related to a circle with intersecting chords labeled 5, n+4, 7, and n+8 [1]. To find the value of "n", we can use the property that states that if two chords intersect inside a circle, the products of their segments are equal. Using this property, we can set up the following equation:

7(n+4) = 5(n+8)

Expanding the brackets, we get:

7n + 28 = 5n + 40

Simplifying, we get:

2n = 12

n=6

A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a fixed distance (called the radius) from a given point (called the center). It is a closed shape, meaning that it has no beginning or end, and its boundary is a continuous curve.

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The car will be worth $20467 in 2017

The given parameters are:

Initial value, a = 38000

Depreciation rate, r = 6%

The value of the car after x years is represented by the following exponential equation

V(x)= a(1 - r)^x

Substitute the known values in the above equation

V(x) = 38000 * (1 - 6%)^x

2017 is 10 years from 2007

This means that x = 10

So, we have:

V(x) = 38000 * (1 - 6%)^10

Evaluate

V(x) = 20467

Hence, the car will be worth $20467 in 2017

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Answer:

$18.48

Step-by-step explanation:

Find perimiter of room

4+4+7+7 =22

22•0.84 = 18.48

$18.48

Answer:

it is irrational number

The set of integers is a Pythagorean triple are option (A) 10, 24, 25 and (D) 6, 8, 10

A Pythagorean triple is a set of three positive integers a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right triangle.

Let's check each set of integers

A. 10^2 + 24^2 = 100 + 576 = 676 = 25^2. Therefore, (10, 24, 25) is a Pythagorean triple.

B. 9^2 + 12^2 = 81 + 144 = 225 = 15^2. Therefore, (9, 12, 15) is a Pythagorean triple. However, the set given is (9, 12, 21), which is not a Pythagorean triple.

C. 8^2 + 15^2 = 64 + 225 = 289 = 17^2. Therefore, (8, 15, 17) is a Pythagorean triple. However, the set given is (8, 15, 23), which is not a Pythagorean triple.

D. 6^2 + 8^2 = 36 + 64 = 100 = 10^2. Therefore, the set of integers (6, 8, 10) is a Pythagorean triple.

Therefore, the correct options are (A) 10, 24, 25 and (D) 6, 8, 10

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The given question is incomplete, the complete question is:

Which set of integers is a Pythagorean triple?

A.

10, 24, 25

B.

9, 12, 21

C.

8, 15, 23

D.

6, 8, 10

Answer:2350 million

Step-by-step explanation:

hope this helps

Answer:

Your square would be 64.

Step-by-step explanation:

If you think about if 8 is a square root of a number, the answer is yes. It's 64. When you multiply numbers by themselves, such as 2*2, or 8*8, you get their square. In this case, 8*8 is equal to 64.  I hope this helps you. : )

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Question:

A fruit basket is filled with 8 bananas, 3 oranges, 5 apples, and 6 kiwis. For every 3 kiwis, there are 4... A) Bananas B) Oranges C) Apples

Answer:

A) Bananas.

Step-By-Step Explanation:

3/6 and 4/8 are very alike. They both are multiplied by 2 and so 4 times 2 is 8 and that equals A.

Step-by-step explanation:

10xy^2-5by^2+2ax^2-abx =

5y²(2x -b) + ax(2x -b) =

(5y²+ax) (2x-b)

Answer:

10xy^2

Step-by-step explanation:

10xy ^ 2-5by ^ 2 + 2ax ^ 2-abx

(10xy^2-5by^2)+(2ax^2-abx)

=5y² (2x -b) + ax (2x -b)  

=( 5 y ² + ax ()2 x--b

None of the provided options (A, B, C, D) accurately represents the expected difference.

To determine the expected difference in the number of dented cans between soups and vegetables, we need to compare the proportions of dented cans in each category.

If we assume that the proportions of dented cans in soups and vegetables are the same, then we can estimate the difference based on the proportions alone.

Let's say that the proportion of dented cans in both soups and vegetables is 10%.

In 2,500 cans of soups, the expected number of dented cans would be 10% of 2,500, which is 250.

Similarly, in 2,500 cans of vegetables, the expected number of dented cans would also be 10% of 2,500, which is 250.

The difference between the expected number of dented cans in soups and vegetables would be:

250 (soups) - 250 (vegetables) = 0

Based on the assumption of equal proportions, the expected difference in the number of dented cans between soups and vegetables would be zero.

Therefore, none of the provided options (A, B, C, D) accurately represents the expected difference.

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To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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a. To simulate the amount you have to pay for damages to your car, we can use the following Excel formula in cell A1:

`=MAX(3000*NORMINV(RAND(), 0.025, 0.75)-1000, 0)`

b. We can then use the following formula in cell C1 to calculate the amount you have to pay for each combination of deductible amount and accident:

`=MAX(3000*NORMINV(RAND(), 0.025, 0.75)-B1, 0)`

c. It may not be reasonable to assume that damage amounts are normally distributed, since they may have a lower bound at zero and a skewed distribution with a longer tail on the positive side.

The standard deviation (SD, also written as the Greek symbol sigma or the Latin letter s) is a statistic that is used to express how much a group of data values vary from one another.

a. To simulate the amount you have to pay for damages to your car, we can use the following Excel formula in cell A1:

`=MAX(3000*NORMINV(RAND(), 0.025, 0.75)-1000, 0)`

This formula generates a random value from a normal distribution with mean 3000 and standard deviation 750, using the RAND() function to generate a random probability between 0 and 1, and the NORMINV() function to convert it into a normal deviate. If the value generated is less than 1000, it is set to 0, since you pay the first $1000 out of your pocket. Otherwise, the value is reduced by 1000, since you pay the deductible and the insurance pays the rest. We can copy this formula down 5000 rows to simulate 5000 iterations.

To find the average amount you pay, the standard deviation of the amounts you pay, and a 95% confidence interval for the average amount you pay, we can use the following Excel formulas:

- Average: `=AVERAGE(A1:A5000)`

- Standard deviation: `=STDEV(A1:A5000)`

- 95% confidence interval: `=CONFIDENCE.NORM(0.05, STDEV(A1:A5000), 5000)⁰·⁵`

These formulas calculate the sample mean, sample standard deviation, and 95% confidence interval for the sample mean, using the values generated by the simulation in column A.

b. To create a two-way data table, we can vary the deductible amount from $500 to $2000 in multiples of $500 by entering these values in cells B1:B5. We can then use the following formula in cell C1 to calculate the amount you have to pay for each combination of deductible amount and accident:

`=MAX(3000*NORMINV(RAND(), 0.025, 0.75)-B1, 0)`

We can copy this formula across cells C2:C5 and then down cells A2:A6 to generate a table of 25 values.

To find the average amount you pay, the standard deviation of the amounts you pay, and a 95% confidence interval for the average amount you pay for each deductible amount, we can use the following Excel formulas:

- Average: `=AVERAGE(A2:A6)`

- Standard deviation: `=STDEV(A2:A6)`

- 95% confidence interval: `=CONFIDENCE.NORM(0.05, STDEV(A2:A6), 5)⁰·⁵`

These formulas calculate the sample mean, sample standard deviation, and 95% confidence interval for the sample mean, using the values generated by the simulation in column A.

c. It may not be reasonable to assume that damage amounts are normally distributed, since they may have a lower bound at zero and a skewed distribution with a longer tail on the positive side. In addition, the standard deviation of the damage amounts may depend on the severity of the accident and other factors that are not accounted for in the simulation. Instead, we might suggest using a distribution that is bounded on the lower end, such as a truncated normal distribution or a gamma distribution. We might also consider incorporating additional factors into the simulation, such as the type of accident, the location of the accident, and the driver's history, to better model the variability in the damage amounts.

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Answer:

30 students were wearing jeans and sandals

So, the solution to the equation is a = -5/2.

To solve the equation 3(a+4)+2(a-1)=a, we will follow these steps:

Step 1: Distribute the numbers inside the parentheses.

3(a+4) becomes 3a + 12, and 2(a-1) becomes 2a - 2.

So, the equation becomes:
3a + 12 + 2a - 2 = a.

Step 2: Combine like terms.

Combine the variables on the left side of the equation:
3a + 2a = 5a.

Combine the constants on the left side of the equation:
12 - 2 = 10.

The equation now becomes:
5a + 10 = a.

Step 3: Isolate the variable.

Subtract a from both sides of the equation to move all the variables to the left side:
5a - a + 10 = 0.

This simplifies to:
4a + 10 = 0.

Step 4: Solve for a.

Subtract 10 from both sides of the equation:
4a + 10 - 10 = 0 - 10.

This simplifies to:
4a = -10.

Divide both sides of the equation by 4:
4a/4 = -10/4.

This simplifies to:
a = -10/4, or a = -5/2.

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The required rate of return for DAK Corporation is 12.34%.

What is the required rate?

The minimal profit (return) an investor will seek or expect in exchange for taking on the risk of investing in a stock or other type of security is known as the required rate of return (RRR). RRR can also be used to determine a project's potential profitability in relation to its funding costs.

Here, we have

Given Information

Beta =   1.25

The yield on 30-year T bonds (rf)=     5.65%

Return on S&P (rM) =    11%

Required Return for DAK = rf + Beta*(rM - rf)

= 5.65% + 1.25*(11% - 5.65%)

=  12.34%

Hence,  the required rate of return for DAK Corporation is 12.34%.

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Answer:

( 3u +12) / (v^2+4)

Step-by-step explanation:

(-u+3) / (v^2+4) + ( 4u+9)/( v^2+4)

Since the denominators are the same, we can add the numerators

((-u+3) + ( 4u+9)) /( v^2+4)

Combine like terms

( 3u +12) / (v^2+4)

Direct variation equations have the following form:

Where "k" is the Constant of variation.

In this case, analyzing the information given in the exercise, you know that the equation for that Direct variation has this form:

You know that:

When:

So you need to make the conversion from feet to miles. Since:

You get:

Then, you can find the value of "k" as following:

The relative minimum and the relative maximum for the attached graph over the interval [ 1, 5 ] of the function given in graph is equal to -14 and -3 respectively.

Graph is attached.

Function shown in the attached graph over the interval [ 1, 5 ] is :

Representing the parabola function.

Vertex representing lowest point of the graph in the interval [ 1, 5 ] is given by :

( 4.5 , -14 )

Vertex representing highest point of the graph in the interval [ 1, 5 ] is given by :

( 1.5 , -3)

Relative minimum and maximum is represented by the y -coordinate of the graph.

Lowest point gives relative minimum = -14

Highest point gives relative maximum = -3

Therefore, for the function in the graph the relative minimum = -14 and relative maximum= -3.

The above question is incomplete , the complete question is:

what are the relative minimum and relative maximum values over the interval [1, 5] for the function shown in the graph?

Graph is attached.

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