Which function has the same range as f (x) = negative 2 startroot x minus 3 endroot + 8?.

Answer:

f(-2) = g(-2)

Based on the information provided, it is impossible to determine whether the store sold more sweaters than shirts during the sale. We do not know how many of each item was sold.
During the sale, the clothing store sold shirts for $15 each and sweaters for $25 each. To determine whether the store sold more sweaters than shirts, additional information such as the total number of items sold or the total revenue generated from each type of clothing is needed. Without this information, it is not possible to definitively say whether the store sold more sweaters or shirts during the sale. However, we can assume that the store made more profit from the sale of sweaters, as each sweater was sold at a higher price than each shirt. It is also possible that the store sold equal amounts of sweaters and shirts, but generated more revenue from the sale of sweaters. Ultimately, more information would be needed to make a definitive statement about which item sold more during the sale.

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SOLUTION

To solve this, let's first simplify, we have

Hence the answer is option C

By using the associative property of addition, we can break down the addition problem 997 + 543 into smaller, more manageable calculations.

The associative property of addition states that the grouping of numbers being added does not affect the result. In other words, (a + b) + c is equal to a + (b + c).

To make the mental calculation easier for 997 + 543, we can break down the numbers into smaller parts. Let's split 543 into 500 and 43:

997 + (500 + 43)

Now, we can calculate the addition in two steps:

Step 1: Add 500 and 43:

(997 + 500) + 43

Step 2: Add the results together:

1497 + 43

Calculating this mentally:

1497 + 43 = 1540

By utilizing the associative property of addition, we broke down the numbers into smaller parts and performed the addition in multiple steps. The sum of 997 + 543 is equal to 1540. This approach simplifies the mental calculation by breaking it down into manageable chunks.

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Answer:

• Random sampling [ Probability and statistics method ]

Step-by-step explanation:

• This method is easier and saves time.

By probability, a person whose height is to be recorded will be chosen randomly. This will be done on approximately 40% members.

By statistical step, we'll feed results into distribution table. Then we'll find the mean height.

\({ \boxed{ \rm{mean \: height = \frac{ \sum \: f(n)}{n} }}}\)

• f of n is product of frequency and respective height bracket

• n is the number of samples.

Answer:

25π

Step-by-step explanation:

well the area is 78.53981633974 but in terms of pi, it's 25π

The surface area of the sphere is 1519.76 mm² and the volume is 5575.87 mm³.

Given that the diameter of the sphere is 22 mm, we can find the radius (r) by dividing the diameter by 2:

Radius (r) = 22 mm / 2 = 11 mm

The surface area (A) and volume (V) of a sphere can be calculated using the formulas:

Surface area (A) = 4πr²

Volume (V) = (4/3)πr³

Now we can substitute the value of the radius into the formulas to calculate the surface area and volume:

Surface area (A) = 4 x 3.14 x (11 mm)²

Volume (V) = (4/3) x 3.14 x (11 mm)³

Calculating the values:

Surface area (A) = 4 x 3.14 x (11 mm)²

= 4 x 3.14 x 121 mm²

= 1519.76 mm²

Volume (V) = (4/3) x 3.14 x (11 mm)³

= (4/3) x 3.14 x 1331 mm³

= 5575.87 mm³

Therefore, the surface area of the sphere is 1519.76 mm² and the volume is 5575.87 mm³.

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Answer:

You can't solve for ab, but you can simplify:

3 + 5ab

Step-by-step explanation:

7 + 6ab - ab - 4

7 + 5ab - 4

3 + 5ab

Answer:

8ab

Step-by-step explanation:

7-4+6ab-ab

3+5ab

8ab

Answer:

The choose (D)

Step-by-step explanation:

\( \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } \)

\(f \: (x) = - 3x + 4 \: \: \\ x > - 3 \\ \\ \\ = f \: (x) = - 3\)

hope it helps

Answer:

rgeege

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

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hjcjc

Answer:

Step-by-step explanation:

pi = 3.14

r = 11 yds

Formula

Area = 4 pi r^2

Solution

Area = 4 * 3.14 * 11 ^2

Area = 1519.76

Area = 1519.8 rounded to the nearest 1/10

Answer:

1/8

Step-by-step explanation:

Answer: I confirm the answer is C

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

expanding the above expression we get

5x+5=4x+32

grouping numbers with coefficient of x at the left side and constant at the right side we get

5x-4x=32-5

x=27

Answer:

12 is a rational number because it can be expressed as the quotient of two integers: 12 ÷ 1.

12 belongs to the sets of natural numbers, integer numbers, rational numbers, and real numbers.

First, we can see that it is a whole number, so it is an integer number.

Also, all positive integers are natural numbers, so 12 is also a whole number.

Now, we also can rewrite 12 as:

12 = 12/1

So it is a quotient between two integer numbers, thus, 12 is also a rational number.

Finally, the trivial answer, 12 belongs to the set of the real numbers (the set that contains all the numbers).

Concluding:

12 belongs to the sets of whole numbers, integer numbers, rational numbers, and real numbers.

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Answer:

\((x-7)^2+y^2=1\)

Step-by-step explanation:

Hi there!

Equation of a circle: \((x-h)^2+(y-k)^2=r^2\) where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

\((x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2\)

2) Plug in the radius (1)

\((x-7)^2+y^2=1^2\\(x-7)^2+y^2=1\)

I hope this helps!

Answer:

y = 1

x = 3

Step-by-step explanation:

First, try to eliminate one of the variables.

Steps:

1)  3x - 2y = -5

 -

   2x - 4y = 2

2)  (3x - 2y = -5)*2

    -

     (2x + 4y = 2)*3

3)   6x - 4y = -10

     -

      6x + 12y = 6

#subtract and you will get -16y = -16

4)  -16y = -16

   = y = -16/-16

   = y = 1

5) substitute the value of y...

2x - 4y = 2

2x - 4*1 = 2

2x - 4 =2

2x = 2 + 4

2x = 6

x = 6/2

x = 3

Hope you find it helpful...

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Answer:

B = 46

Step-by-step explanation:

Assuming a 40-hour workweek, 55000 per year would be approximately 26.44per hour.

Subtract 55000 from 52, the number of weeks in a year, and you get 1057.69. Subtract 1057.69 from 40, the number of hours in a workweek, to get 26.44.To the nearest dollar, round up: 26.44 = 27 Calculating how much an individual would make per hour with a yearly salary of $55,000 is a fairly straightforward process. Divide the annual income of $55,000 by the 52 weeks that make up a year. As a result, we get a score of 1057.69. After that, divide this number by the 40 hours that make up a workweek. As a result, we get a score of 26.44. The final step is to round this result up to the nearest dollar, which gives us an hourly wage of $27. 55,000 dollars a year is therefore equal to about 27 dollars per hour.

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9514 1404 393

Answer:

A.

B.

Step-by-step explanation:

For solving questions as to whether a given point is a solution to an inequality, it often works well to graph the inequality and plot the point on the graph. Here, the only points that are in the solution area are (0, -1) and (2, -4), corresponding to questions 3 and 5. This is shown in the first attachment.

  1. no; 2. no; 3. yes; 4. no; 5. yes

__

1. One inequality relates to total cost. The cost must be less than or equal to 60 Php. The equations use the given variable definitions and cost values.

  10x +15y ≤ 60

The other inequality relates to quantity of items. The total quantity must be 3 or more.

  x +y ≥ 3

__

2. The x-intercept is found by setting y=0 and dividing by the x-coefficient. Similarly, the y-coefficient is found by setting x=0 an dividing by the y-coefficient.

10x +15y ≤ 60

  x-intercept: 60/10 = 6   y-intercept: 60/15 = 4

x +y ≥ 3

  x-intercept: 3/1 = 3  y-intercept: 3/1 = 3

The graph of the inequalities and their intercepts is shown in the second attachment.

The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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The values of probabilities P(support children) and P(children | support) are 0.755 and  0.623 respectively.

To determine the probability P(support children) that a randomly selected respondent supports the levy given that he or she has children attending school in the district, we can follow these steps:

1. Find the number of respondents with children attending school in the district who support the levy. In this case, it is 71.

2. Find the total number of respondents with children attending school in the district.

This is 71 (support levy) + 23 (opposed to levy) = 94.

3. Divide the number of respondents supporting the levy with children attending school by the total number of respondents with children attending school:

P(support children) = 71/94 = 0.755

To determine the probability P(children | support) that a randomly selected respondent has children attending school in the district given that he or she supports the levy, follow these steps:

1. Find the number of respondents supporting the levy who have children attending school in the district.

This is 71 (as calculated earlier).

2. Find the total number of respondents who support the levy.

This is 71 (have children attending school) + 43 (have no children attending school) = 114.

3. Divide the number of respondents with children attending school who support the levy by the total number of respondents who support the levy:

P(children | support) = 71/114 = 0.623



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Answer:

120

Step-by-step explanation:

the correct answer is 4.05

Answer:

15%

Step-by-step explanation:

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

6 books each month

Step-by-step explanation:

12 divided by 2 equals 6

Therefore , the solution of the given problem of angle comes out to be  response is 122 degrees.

The walls in the top and bottom split the circular lines making up a skew's extremities using Cartesian coordinates. It is possible for two beams to converge at a junction spot. Another result of two objects interacting is an angle. They most closely resemble dihedral forms. Two line beams can be arranged in different ways at their ends to form a two-dimensional curve.

Here,

A straight path has a total of 180 degrees in angles. By deducting the known angle from 180 degrees, we can determine the measure of

the unknown angle if we have a straight line and a 58-degree angle.

As a result, the undetermined angle's measurement is:

=> 180° - 58° = 122°

The response is 122 degrees.

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30

Step-by-step explanation:

the real answer is 25 but if we round up to the nearest 10th the answer would be 30

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Answer:

6 Students!

Step-by-step explanation: