Select the correct answer.
At a walk-in interview, 12% of candidates can be selected, and 28% of candidates can be put on hold for the next hiring date. If 75 candidates are
interviewed, about how many are expected to be rejected?
OA. 9
OB. 30
O c. 45
O D. 21

Answer: (5, 3)

Step-by-step explanation:

this is just basic coordinate geometry. it tells you how far to go right and up.

The given table represents a linear function with a constant rate of change of 2. Option D is the right answer.

To determine if the table represents a linear function and calculate the rate of change, let's examine the given values:

x   | y

-----------

1   | 3

2   | 5

3   | 7

4   | 9

By looking at the y-values, we can observe that for every increase of 1 in x, the corresponding y-value increases by 2. This indicates a constant rate of change, suggesting that the table represents a linear function.

To calculate the rate of change, we can use the formula:

[tex]\[\text{{Rate of Change}} = \frac{{\text{{Change in y}}}}{{\text{{Change in x}}}}\][/tex]

Taking any two points from the table, let's choose (1, 3) and (2, 5):

[tex]\[\text{{Rate of Change}} = \frac{{5 - 3}}{{2 - 1}} = \frac{2}{1} = 2\][/tex]

The table provided exhibits a linear function with a constant rate of change. As the x-values increase by 1 from [tex]1[/tex] to [tex]4[/tex], the corresponding y-values increase by [tex]2[/tex] from [tex]3[/tex] to [tex]9[/tex]. This consistent change in y for each unit change in x indicates a linear relationship between the variables.

The rate of change, also known as the slope of the function, is determined by the ratio of the change in y to the change in x. In this case, the rate of change is [tex]2[/tex], meaning that for every increase of [tex]1[/tex] in [tex]x[/tex], the y-value increases by 2.

Thus, the table represents a linear function with a rate of change of [tex]2[/tex].

Therefore, the correct answer is D) Yes; rate of change = [tex]2[/tex].

NOTE: The given question is incomplete. The complete question is:

Determine if the table below represents a linear function. If so, what's the rate of change?

options:

A)  Yes; rate of change = 4

B)  No; it's a non-linear function.

C)  Yes; rate of change = 3

D)  Yes; rate of change = 2​

Table:

x   | y

-----------

1   | 3

2   | 5

3   | 7

4   | 9

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The number of green t-shirts sold are 45.

Given that a bar graph showing the sell of t-shirts of 4 different colour,

It is saying that the sell has increased by 50% next week, we need to find the number of green t-shirts to be sold in next week,

So, the number of green t-shirts sold in previous week = 30

So this week the sell should have been increased by 50%

Therefore, the number of green t-shirts sold this week = 150/100 × 30

= 1.5 × 30 = 45

Hence the number of green t-shirts sold are 45.

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After considering all the given options we come to the conclusion that the inequality that represents the  values of x for the give triangle ABC is 15/11 < x < 17/5, which is Option A.

Here, the sides of a triangle should gradually satisfy the triangle  inequality theorem which projects that the summation of the lengths considering any two sides of a triangle should be bigger than or equivalent towards the length of the third side.
Then, for the given sides of triangle ABC,
3x+1 + 16 > 8x

Applying this inequality,
x > 15/11
So,
16 + 8x > 3x+1
Applying simplification
x < 17/5
Hence , the inequality that represents the values of x for which triangle ABC exists is 15/11 < x < 17/5.
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The fair price for the smaller box should be $1.00.

From the question, we have that the larger box of popcorn sells for $3.00 and the two boxes have congruent openings and equal heights, we then can make the assumption  that the only difference between them is their volume.

The volume of a pyramid is found using the formula:

V = (1/3) B* h,

where 'B'=  base area

'h' = height of the pyramid

In conclusion, we can say that The fair price for the smaller box should be $1.00 because a pyramid is 1/3 the volume of a prism.

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The complete question is attached

Peter can have the electricity on for 18.5 hours if he wants to make a $49 profit.

We have,

Let's start by setting up an equation to represent the situation:

Profit = Revenue - Cost

We know that Peter's profit is $49, and we can find the revenue by multiplying the number of hours by the hourly rate:

Revenue = Hourly rate x Number of hours

The hourly rate is $4, and the cost includes the initial fee of $25 plus the hourly cost:

Cost = Initial fee + Hourly rate x Number of hours

Now we can substitute these equations into the profit equation and solve for the number of hours:

$49 = ($4 x Number of hours) - ($25 + $4 x Number of hours)

$49 = $4 x Number of hours - $25 - $4 x Number of hours

$49 + $25 = $4 x Number of hours - $4 x Number of hours

$74 = $4 x Number of hours

Number of hours = $74 / $4

Number of hours = 18.5

Thus,

Peter can have the electricity on for 18.5 hours if he wants to make a $49 profit.

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The correct answer is option C: [tex]\(k + 4 = 16\).[/tex] This linear equation represents the relationship between Tina and Kai's volunteer times.

To represent the given situation, the equation that correctly represents the relationship between Tina's volunteer times (Tina = 16) and Kai's volunteer times (Kai = k) is:

[tex]\[Tina = Kai + 4\][/tex]

In this equation, Tina's volunteer times are represented by "Tina," and Kai's volunteer times are represented by "Kai." Since Tina has volunteered 4 more times than Kai, we add 4 to Kai's volunteer times to get the total number of times Tina has volunteered.

Substituting the given values, we have:

[tex]\[16 = k + 4\][/tex]

This equation represents the fact that Tina has volunteered [tex]16[/tex] times, which is equal to Kai's volunteer times (k) plus the additional 4 times that Tina volunteered.

Simplifying the equation:

[tex]\[k + 4 = 16\][/tex]

This equation is equivalent to the original equation and represents the relationship between Tina and Kai's volunteer times. Hence, the correct answer is option C: [tex]\(k + 4 = 16\).[/tex]

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The number of unique preference orders that are represented in the table would be B. Five.

An individualized preference order is one way to assign a hierarchal ranking to an assortment of options. This ordering is recognized as "unique" because each item is assigned its own rank, with no two elements sharing the same level of priority.

From what is shown on the table, we have Voters 2, 4, 5 and 7 having a unique order. From these four voters, we therefore have four unique preference orders.

However, there is another unique preference order which is the shared preference order of Voters 1. 3 and 6 because this is unique preference order shared by three people.

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Using the output expenditure model, the purchase of the bicycle would be an example of C) consumer spending.

Consumer spending is the expenditure made for the purchase of final goods and services by individuals and households.

In this situation, Dennis as a consumer is not a business organization, government institution, or an exporter, but an individual.

The expenditure for the purchase of a new bicycle is an expense for a final good.

Thus, under the output expenditure model, the purchase of a new bicycle is not a business investment, government spending, or a net export, but it is a consumer spending.

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The correct equation which represents a circle with center Z (-3,5) and a radius of 4 units is,

⇒ (x + 3)² + (y - 5)² = 16

We have to given that;

In a circle,

Center = (- 3, 5)

Radius = 4

Since, The standard form of equation of circle is,

⇒ (x - h)² + (y - k)² = r²

Where, (h, k) = center

And, r is radius

Here, Center = (- 3, 5)

Radius = 4

Hence, The correct equation which represents a circle with center Z (-3,5) and a radius of 4 units is,

⇒ (x - (- 3))² + (y - 5)² = 4²

⇒ (x + 3)² + (y - 5)² = 16

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Answer: Given as (x, y) in order from top to bottom: (16, 4); (8, 2); (36, 9)

Step-by-step explanation:

   Since we need to solve for x, we will solve this equation for x first.

Given:

   y = [tex]\frac{x}{4}[/tex]

Multiply both sides of the equation by 4:

   4y = x

   Next, for each given y-value, we will substitute into the given rule we transformed and solve.

   4y = x

   4(4) = 16

   4y = x

   4(2) = 8

   4y = x

   4(9) = 36

Answer:

16

8

36

Step-by-step explanation:

move the /4 to H other side and you get y*4=x,

now put the number on the table and multiply by 4 to get X, for each value,

Part A:  At her current rate, the distance Amy can ride her bike within 12 minutes is A. 1.6 miles.

Part B: Sebastian can ride his bike for  C: 7.5 miles in 1 hour.

Part C: The time it will take for one to wait is B: Amy will have to wait 1.5 minutes for Sebastian.

Part A:

To find the distance Amy can ride her bike in 12 minutes, we set up a proportion based on her current rate.

Amy's rate: 4 miles / 30 minutes = x miles / 12 minutes

Cross-multiplying:

30x = 4 * 12

30x = 48

Dividing both sides by 30:

x = 48 / 30

x ≈ 1.6

So, Amy can ride her bike at 1.6 miles in 12 minutes.

Part B:

To find the distance Sebastian can ride his bike in 1 hour, convert the time to minutes first.

1 hour = 60 minutes

Sebastian's rate: 3 miles / 24 minutes = x miles / 60 minutes

Cross-multiplying:

24x = 3 * 60

24x = 180

Dividing both sides by 24:

x = 180 / 24

x ≈ 7.5

Therefore, Sebastian can ride his bike at 7.5 miles in 1 hour.

Part C:

Amy's home to  Park = 3 miles,

Park to Sebastian's home = 3 miles.

Amy's rate = 4 miles in 30 minutes, equivalent to 1 mile in 7.5 minutes.

Sebastian's rate = 3 miles in 24 minutes, equivalent to 1 mile in 8 minutes.

Then, we estimate the time it takes for each to cover a distance of 3 miles.

Amy:

Time = Distance / Rate = 3 miles / (2/15 miles/minute)

= 3 * (15/2) minutes

= 22.5 minutes

Sebastian:

Time = Distance / Rate = 3 miles / (1/8 miles/minute)

= 3 * 8 minutes

= 24 minutes

Since Amy= 22.5 mins and Sebastian takes 24 mins,

24 - 22.5 = 1.5

Hence, Amy will have to wait 1.5 minutes for Sebastian.

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The value of the car 4 years after it was purchased is  $16,270.86.

Depreciation is when the value of an asset declines with the passage of time as a result of wear and tear.

The equation that would be used to determine the value of car with the passage of time would be an exponential equation.

Value of the car after t years = [tex]p(1 -r)^{\frac{t}{3}[/tex]

Where:

Value of the car after 4 years  = [tex]41,000(1 -0.5)^{\frac{4}{3}[/tex] = $16,270.86

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Answer:

[tex]z^{2} +z-36[/tex]

Step-by-step explanation:

Multiply

The end behavior of a polynomial with positive leading coefficient is either "up-up" or "down-down" depending on the degree of the polynomial the end behavior of a polynomial with negative leading coefficient is either "up-down" or "down-up" depending on the degree of the polynomial.

Actually, the end behavior of a polynomial refers to the behavior of the function as the input variable (usually x) approaches positive or negative infinity.

The end behavior of a polynomial is determined by the degree and leading coefficient of the polynomial.

If the degree of the polynomial is even and the leading coefficient is positive, then the end behavior is as follows:

As x approaches negative infinity, the graph of the polynomial approaches the x-axis from above (the arrows point in opposite directions).

As x approaches positive infinity, the graph of the polynomial approaches the x-axis from below (the arrows point in opposite directions).

If the degree of the polynomial is even and the leading coefficient is negative, then the end behavior is as follows:

As x approaches negative infinity, the graph of the polynomial approaches the x-axis from below (the arrows point in opposite directions).

As x approaches positive infinity, the graph of the polynomial approaches the x-axis from above (the arrows point in opposite directions).

If the degree of the polynomial is odd and the leading coefficient is positive, then the end behavior is as follows:

As x approaches negative infinity, the graph of the polynomial goes down to negative infinity (the arrows point in the same direction).

As x approaches positive infinity, the graph of the polynomial goes up to positive infinity (the arrows point in the same direction).

If the degree of the polynomial is odd and the leading coefficient is negative, then the end behavior is as follows:

As x approaches negative infinity, the graph of the polynomial goes up to positive infinity (the arrows point in the same direction).

As x approaches positive infinity, the graph of the polynomial goes down to negative infinity (the arrows point in the same direction).

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The expressions that are equivalent to the one below  is [tex]2 ^{(5+x) }[/tex], option C.

Based on the definition of power multiplication properties, The Product of Powers Property serves as one that stressed that in a cae wehereby we are multiplying two exponents with the same base, then the exponents  can be multiplied and keep the base.

It shoud be noted that when  want to simplify the expressions [tex]2x^4[/tex]by [tex]6x2[/tex] , the base wil will be kept whereby  we add the exponent.

The given expression is [tex]2^5.2^x[/tex], which can be simplified as;

= [tex]2^5.2^x[/tex]

=[tex]2 ^{(5+x) }[/tex]

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Kara's Custom Tees will spend $540 to produce 8 shirts.

To determine the total expenses encountered by Kara's Custom Tees, we can use the equation:

C(x) = fixed costs + (variable costs per shirt) * x

In this case, the fixed costs are $500 and the variable costs per shirt are $5. Therefore, the equation becomes:

C(x) = 500 + 5x

To calculate the cost of producing 8 shirts, we substitute x = 8 into the equation:

C(8) = 500 + 5 * 8

= 500 + 40

= $540

Therefore, Kara's Custom Tees will spend $540 to produce 8 shirts.

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Answer:

B and D

Step-by-step explanation:

4²= 16

it's a perfect square

2³= 8

it's a perfect cube

The correct statement regarding the proportional relationships is given as follows:

D. The first bucket will be completely filled 11 minutes before the second bucket.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

For the first bucket, the equation is given as follows:

y = 0.4x.

Meaning that 0.4 gallons are inserted each minute, hence the time to insert 2 gallons is given as follows:

2/0.4 = 5 minutes.

For the second bucket, the constant is taken from the graph as follows:

k = 0.5/4

k = 0.125.

Hence the time is given as follows:

2/0.125 = 16 minutes.

Hence the difference is of:

16 - 5 = 11 minutes.

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-12x stands for the amount Kiran takes out each month.

B. any value of x that is less than or equal to 6.25 will work for Kiran.

c. One can use x ≤ 6.25 to show all the values that would work for Kiran.

d. The answer to Kiran's question can be written using mathematical notation as:

Kiran can be able to take out a maximum of $6.25 every month to make sure that he has at least $25 in the account a year from that time now.

Since the inequality  is -12x + 100 ≥ 25,  the term -12x stands for the amount Kiran takes out each month. It is seen as a negative value because it stands for the monthly withdrawals from the  said account.

b. To find values of x that would work for Kiran,  it can be done by:

-12x + 100 ≥ 25.

-12x + 100 ≥ 25

So, subtract 100 from both sides:

-12x ≥ 25 - 100

-12x ≥ -75

Then divide both sides by -12 ( dividing by a negative number changes the inequality sign) Hence it will be:

x ≤ (-75) / (-12)

x ≤ 6.25

So, any value of x that is less than or equal to 6.25.

c. One can use x ≤ 6.25 to show all the values that would work for Kiran. based on the fact that:

Kiran requires to have at least $25 in the account a year from now, he cannot withdraw more than $6.25 per month. If he withdrew more than that, he would not have more money left in the account after a single year.

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See text below

Kiran has $100 saved in a bank account. (The account doesn’t earn interest.) He asked Clare to help him figure out how much he could take out each month if he needs to have at least $25 in the account a year from now.

a. Clare wrote the inequality -12x + 100 ≥ 25, where x represents the amount Kiran takes out each month. What does -12x represent?

b. Find some values of x that would work for Kiran.

c. We could express all the values that would work using either x ≤ _ or x ≥ _. Which one should we use?

d. Write the answer to Kiran’s question using mathematical notation.

From the distance formula

[tex]d=s \times t[/tex]

Now placing the given values

[tex]d = 25 \times 7[/tex]

[tex]d = 175[/tex]

Hence the bus traveled 175m (meters)

Answer:

Step-by-step explanation:

Let the angle be x

then its supplementary angle be 180 - x

x - ( 180 - x )  =  14.2

2x = 194.2

x = 97.1

angle = 97.1

supplementary angle = 180 - 97.1

                                      = 82.9

The graph of the translations are attached

The red is the preimage while the blue is the image

The absolute value graph has equation f(x) = |2x| and the translation we want to obtain is y = f(x) + 4 and this is a translation 4 units up

This results to a graph of equation  y = f(x) + 4 = |2x| + 4

For the parabolic graph, the equation is written as

y = a(x - 2)² - 3

solving for a using (0, -5)

-5 = a(0 - 2)² - 3

-2 = 4a

a = -1/2, then the equation is g(x) = -1/2 (x - 2)² - 3

Applying the translation, the equation will be

y = g(x + 2) =  -1/2 (x - 2 + 2)² - 3 = -1/2 (x)² - 3

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Answer:

.2222

Please give the brainliest, really appreciated. Thank you

The solution set, using properties of exponents is { 3/4 }.

The solution set to ( 2 ³ˣ . 2 ˣ ) ˣ ⁻ ¹ = 8  can be found by using the properties of exponents in the following manner :

( 2 ^ ( 3 x  + x ) ) ^ ( x ^ ( - 1 ) ) = 8

( 2 ^ ( 4 x ) ) ^ ( x ^ ( - 1 ) ) = 8

2 ^ ( 4 x   * x ^ ( - 1 ) ) = 8

2 ^ ( 4 x * x ^ ( - 1 ) ) = 2^3

4 x  *  x ^ ( - 1 ) = 3

4 * x ^ ( 0)  = 3

4 x = 3

x = 3/4

The solution set is { 3 / 4 }.

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Answer:

98 mm²

Step-by-step explanation:

This parallelogram has a base of 7 and height of 14 mm.

The height is the vertical distance between the two bases

The area = b x h = 7 x 14 = 98 mm²

[tex]\huge\mathcal{\fcolorbox{aqua}{azure}{\red{➳Aɳʂɯҽɾ}}}[/tex]

Refer the attachment for clarity:-

[tex] \colorbox{yellow}{\red{Formula\: Base\: x \:Height= Area}}[/tex]

[tex]\sf{\leadsto 7×14}[/tex]

[tex]{ \red{ \sf 98m {m}^{2} }}[/tex]

______________________________

[tex]\bold{Thank ~you~:)}[/tex]

The length of the hypotenuse of the triangle is b = x√2 units

Given data ,

Let the triangle be represented as ΔABC

And , the triangle is a 45 - 45 - 90 triangle

So , the two legs are congruent to one another and the non-right angles are both equal to 45 degrees

And , the sides are in the proportion x : x : x√2

Now , the length of the sides of the triangle are

The measure of base BC = a units = x

The measure of height AB = c units = x

So , the measure of the hypotenuse of the triangle is = x√2 units

Hence , the triangle is solved and hypotenuse AC = x√2 units

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The graph of the polynomial function with a positive leading coefficient and zeros at x = 4, 2, and -1 (multiplicity 2) is given by the image presented at the end of the answer.

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the zeros of the function, the linear factors are given as follows:

Considering the leading coefficient of a = 1, the function is defined as follows:

f(x) = (x - 4)(x - 2)(x + 1)²

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Answer:

The is is 1

Step-by-step explanation:

The probability that a salesperson hit the quota, given that the salesperson was promoted is 0.88. Therefore, option D is the correct answer

From the tree diagram, there are two ways to obtain the promotion:

0.41 of 0.68 (hit the quota).

0.14 of 0.32 (did not hit the quota).

So, the probability of getting a promotion is:

P(A) = 0.41 × 0.68 + 0.14 × 0.32 = 0.3236.

The probability of both getting a promotion and hitting the quota is:

P(A and B) = 0.41 × 0.68 = 0.2788.

So, the conditional probability is:

P(B|A) = P(A and B)/P(A) = 0.2788/0.3236 = 0.88 (approximately).

Therefore, option D is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Salespeople at a certain company must meet a quota each month. On average, they hit the quota 68% of the time. If a salesperson hits the quota, the probability of being promoted in the next six months is 0.41. If a person doesn’t hit the quota, the probability of being promoted is 0.14.

Use the tree diagram to determine the probability that a salesperson hit the quota, given that the salesperson was promoted.

A. 0.28

B. 0.32

C. 0.41

D. 0.88