Which step should be performed first in the expression?
Then simplify the expression. 5(-3)+6

Answer:

a. When x > k, the cost of running the ad for a week can be expressed as:

C = p + e(x - k)

where C is the cost in dollars, p is the cost per k lines, e is the cost per extra line, and (x - k) is the number of extra lines over k.

b. When x ≤ k, the cost of running the ad for a week can be expressed as:

C = p

where C is the cost in dollars and p is the cost per k lines. Since the number of lines x is less than or equal to k, there are no extra lines and the cost is simply the base cost of p dollars for k lines.

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Answer:

(-2,12)

Step-by-step explanation:

Answer:

Office Depot

Step-by-step explanation:

Answer:

a. Tax liability using Tax Tables $8,579

b. Tax liability using Tax Rate Schedule $8,576.80

Step-by-step explanation:

a) The present value of $25,000 due 9 periods from now, discounted at 10%, is approximately $10,593.22.

b) The present value of $25,000 to be received at the end of each of 6 periods, discounted at 9%, is approximately $22,935.35.

(a) Present Value of $25,000 due 9 periods from now, discounted at 10%:

To calculate the present value, we need to discount the future cash flow of $25,000 back to its current value using the given discount rate of 10%. The formula to calculate the present value is:

Present Value = Future Value / (1 + Discount Rate)ⁿ

Where:

Future Value is the amount to be received in the future ($25,000).

Discount Rate is the rate at which we discount the future cash flow (10%).

'n' is the number of periods or years until the future cash flow is received (9 periods in this case).

Let's plug in the values into the formula and calculate the present value:

Present Value = $25,000 / (1 + 0.10)⁹

Calculating the denominator:

(1 + 0.10)⁹ = 1.10⁹ ≈ 2.36

Present Value = $25,000 / 2.36 ≈ $10,593.22

(b) Present Value of $25,000 to be received at the end of each of 6 periods, discounted at 9%:

In this case, we have a cash flow of $25,000 to be received at the end of each of 6 periods, discounted at 9%. Let's calculate the present value:

Present Value = $25,000 / (1 + 0.09)¹ + $25,000 / (1 + 0.09)² + ... + $25,000 / (1 + 0.09)^6

Calculating each discount factor:

(1 + 0.09)¹ ≈ 1.09

(1 + 0.09)² ≈ 1.1881

(1 + 0.09)³ ≈ 1.2950

(1 + 0.09)⁴ ≈ 1.4116

(1 + 0.09)⁵ ≈ 1.5386

(1 + 0.09)⁶ ≈ 1.6765

Plugging in the values and summing them up:

Present Value = $25,000 / 1.09 + $25,000 / 1.1881 + $25,000 / 1.2950 + $25,000 / 1.4116 + $25,000 / 1.5386 + $25,000 / 1.6765

Present Value ≈ $22,935.35

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Answer:

The duration is 135 minutes ie. 2 hours and 15 minutes

The rate at which the distance between the runner and home plate is changing when she is 20 feet from third base is 60/(√170) ft/sec

Given that a softball diamond has the shape of a square with sides of 60 feet and a player is running from 2nd to 3rd base at 24 ft./sec. The rate at which the distance between the runner and home plate is changing when she is 20 feet from third base is to be determined.

Step 1: Draw a diagram based on the given information.  [Figure 1]Step 2: We need to find out d(d is the distance between the runner and home plate). To find out the value of d, we will use the Pythagorean theorem

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Answer:

a. Definition of Segment Bisector

b. Line segment KM

c. Given

d. Definition of segment bisector

e. Reflexive property of congruence

f. SAS

g. CPCTC (Corresponding parts of congruent triangles are congruent)

Answer:

a. 3g + g = 53

b. 40 boys and 13 girls

Step-by-step Explanation:

(3g = number of boys)

(g = number of girls)

3g + g =53

4g = 53

g = 13.2

53 - 13.2 = 39.8 (boys)

we round to the nearest tenth on both

girls 13.2---13

boys 39.8---40

One year of education adds $1200 to a person's yearly income.

In the given model, the equation y = 1200x + 7000 represents the relationship between the years of education (x) and the yearly income (y) in a person's first job after completing schooling. According to the model, for every additional year of education, the yearly income increases by $1200. This implies that each year of education contributes an extra $1200 to a person's annual income. For example, if a person has completed 5 years of education, their yearly income can be estimated as y = 1200(5) + 7000 = $13,000.

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Answer:

$13

Step-by-step explanation:

Let's set up a ratio...

2:3.25

8:x

We know 2*4 is 8 so we need to multiply 3.25 by 4 to get x...

3.25*4=$13

To find P(Q and R), we can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P(R) = 0.24P(Q and R) = P(Q) × P(R) = 0.37 × 0.24 = 0.0888.

Therefore, the probability of both Q and R occurring together is 0.0888. Long Answer:Independent events:In probability theory, two events are independent if the occurrence of one does not affect the probability of the occurrence of the other. Two events A and B are independent if the probability of A and B occurring together is equal to the product of the probabilities of A and B occurring separately. Mathematically,P(A and B) = P(A) × P(B) Suppose Q and R are independent events. Find P(Q and R).

We can use the formula: P(Q and R) = P(Q) × P(R) Since the events Q and R are independent, we can multiply the probabilities of each event to find the probability of both events occurring together. P(Q) = 0.37P

(R) = 0.24

P(Q and R) = P(Q) × P(R)

= 0.37 × 0.24

= 0.0888

Therefore, the probability of both Q and R occurring together is 0.0888. Hence, P(Q and R) = 0.0888. In probability theory, independent events are the events that are not dependent on each other. It means the probability of one event occurring does not affect the probability of the other event occurring.

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Answer:

2x - 13

Step-by-step explanation:

If x represents the greater number, then the other number is x - 13. The sum of these two numbers is:

x + (x - 13) = 2x - 13

The number of rentals would  be 20 so that both plans cost the same amount.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

It costs $30 to join and each video game rental for members costs $2.

Non-members pay a rental fee of $3.50 per rental.

let the number of rentals they both pay same amount be x.

So, 30 + 2x = 3.5x

30 = 3.5x - 2x

30 = 1.5x

x= 30/1.5

x = 20

Hence, number of rentals should be 20.

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Answer:[

−

2

,

∞

)

,

{

x

|

x

≥

−

2

}

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

angles on the circle (inscribed angles ) from the same arc are congruent.

∠ EDF and ∠ EGF are formed by the same arc EF and are congruent

∠ EGF ≅ ∠ EDF

Explain what? What would you like help with? :)

Answer:

whats ur question

Step-by-step explanation:

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught about math in it so it might help you.

Answer:

Slope = -1

Step-by-step explanation:

\(\frac{-2-5}{4-(-3)}=\frac{-7}{7} =-1\)

Minimum sample size (n) = 15

To determine the minimum sample size required, we can use the formula:

n = (Zα/2 * σ / E)^2

Where:
- n is the minimum sample size
- Zα/2 is the z-score at the 95% confidence level, which is 1.96
- σ is the population standard deviation, which is given as 3.8
- E is the maximum error we can tolerate, which is 2 units in this case

Substituting the values, we get:

n = (1.96 * 3.8 / 2)^2
n = 27.44

Rounding up to the nearest whole number, we get a minimum sample size of 28.

Therefore, we need to sample at least 28 individuals from the normally distributed population to be 95% confident that the sample mean is within two units of the population mean, assuming a population standard deviation of 3.8.

To determine the minimum sample size required for a 95% confidence level, we'll need to use the following formula:

n = (Z * σ / E)^2

where:
- n is the minimum sample size
- Z is the Z-score corresponding to the desired confidence level (1.96 for a 95% confidence level)
- σ is the population standard deviation (3.8 in this case)
- E is the margin of error (2 units in this case)

Step 1: Identify the values
Z = 1.96 (from the 95% confidence level)
σ = 3.8
E = 2

Step 2: Plug the values into the formula
n = (1.96 * 3.8 / 2)^2

Step 3: Calculate the result
n = (7.528 / 2)^2
n = (3.764)^2
n ≈ 14.15

Since the sample size must be a whole number, round up to the nearest whole number to ensure the desired level of confidence is achieved.

Minimum sample size (n) = 15

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The minimum number of cars Inish must wash is 12.To find the minimum number of cars Inish must wash, we can solve the inequality 6.25x - 25 ≥ 45.

Starting with the inequality: 6.25x - 25 ≥ 45

Add 25 to both sides to isolate the term with x: 6.25x - 25 + 25 ≥ 45 + 25

Simplifying: 6.25x ≥ 70

Next, divide both sides of the inequality by 6.25 to solve for x: (6.25x)/6.25 ≥ 70/6.25

Simplifying: x ≥ 11.2

Since the number of cars must be a whole number, we round up to the nearest whole number to ensure Inish has at least $45 in spending money after saving $25. Therefore, the minimum number of cars Inish must wash is 12.

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Answer:

1

Step-by-step explanation:

The correct values of a,h, and k for the function f(x) is a = 5 , h = 0 , k = 0

A Function is a law that relates two variables .

It is given that

f(x) = 5x²

The general equation of a parabola is given by

y = a ( x-h)² + k

Comparing the given and standard equation

a = 5 , h = 0 , k = 0

Therefore Option 1 is the correct answer.

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Answer:

Total number of employees = 86,891 employees

Step-by-step explanation:

Let

x = total number of employees

26.7% of x = 23,200

26.7/100 * x = 23,200

0.267 * x = 23,200

0.267x = 23,200

x = 23,200/0.267

x = 86,891.385767790

approximately 86,891 employees

Total number of employees = 86,891 employees

The value of x will remain 0 after evaluating the expression.

The expression (y > 0) && (1 > x++) involves two conditions connected by the logical AND operator &&. For the entire expression to be true, both conditions must be true.

In this case, y is assigned the value of 0, and therefore, the condition y > 0 will evaluate to false. Since the first condition is false, the second condition 1 > x++ will not be evaluated, because even if it were true, the entire expression would still be false.

Since the entire expression is false, the increment operation x++ will not be executed, and the value of x will remain 0.

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Answer:

its 40,000

Step-by-step explanation:

Answers and Step-by-step explanation:

a. The independent variable is the variable being manually changed by the experimenter. The dependent variable is the variable being affected by the independent variable. X (members joining the fitness club) is the independent variable. Y (total monthly cost) is the dependent variable.

b. The domain is 6, because x is always the domain. The range is 77, because Y is always the range. You plug in 6 (the domain which is x), and get 77.

c. Yes, this relation is a function. Relations are only not functions when one singular input (domain) goes to 2 outputs (range).

    A domain can not have multiple ranges. A range can have multiple domains though.

The y is the dependent variable and the x is the independent variable, in the equation y = 7x + 35, The domain is 6 and the range is 77 for the given equation. Yes, it is a function.

In other terms, it is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

y = 7x + 35, x members joining the fitness club and y is cost.

(a) As you can see from the equation, y depends on the value of x,

(b) Calculate the amount of x = 6 (as given)

y = 7 × 6 + 35

y = 42 + 35

y = $77

The domain of the function is 6 and the range is 77.

(c) Yes, as we put the values in x, y also changes, so it is a function.

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The linear function among the given options is (d) F(x) = ∫f(t)dt.The other functions (a), (b), and (c) do not satisfy the properties of linearity.

To determine which of the given functions is linear, we need to check if they satisfy the two properties of linearity: additive and homogeneous.

(a) S(x) = 2x - 1

To check for additivity, we can see that S(x + y) = 2(x + y) - 1 = 2x + 2y - 1. However, 2x - 1 + 2y - 1 = 2x + 2y - 2, which is not equal to S(x + y). Hence, S(x) is not additive and therefore not linear.

(b) g(x + y) = 0

For additivity, we have g(x + y) = 0, but g(x) + g(y) = 0 + 0 = 0. Therefore, g(x) satisfies additivity. For homogeneity, let's consider g(cx), where c is a scalar. g(cx) = 0, but cg(x) = c(0) = 0. Thus, g(x) satisfies homogeneity. Therefore, g(x) is linear.

(c) h(a + bx + cx^2) = x - a + ex - 5

For additivity, we have h(a + bx + cx^2) = x - a + ex - 5, but h(a) + h(bx) + h(cx^2) = x - a + e(0) - 5 = x - a - 5. Since x - a - 5 is not equal to x - a + ex - 5, h(a + bx + cx^2) is not additive and hence not linear.

(d) F(x) = ∫f(t)dt

To check for additivity, let's consider F(x + y) = ∫f(t)dt, and F(x) + F(y) = ∫f(t)dt + ∫f(t)dt = ∫(f(t) + f(t))dt. Since the integral of the sum is equal to the sum of the integrals, F(x + y) = F(x) + F(y), satisfying additivity. For homogeneity, let's consider F(cx) = ∫f(t)dt, and cF(x) = c∫f(t)dt = ∫cf(t)dt. Again, by the linearity of integration, F(cx) = cF(x), satisfying homogeneity. Therefore, F(x) is linear.

In summary, the function (d), given by F(x) = ∫f(t)dt, is the only linear function among the given options.

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Answer:

its D

Step-by-step explanation:

just took the quiz

The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.

We need to identify the undefined geometric term from the options.

There are three undefined terms in geometry :

1) point 2) line 3) plane

A point has zero dimension and it is used to locate a figure on a coordinate plane.

The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and  y= ordinate.

A line is the one-dimensional straight indefinite path on the plane that has no width.

A plane is a two-dimensional flat surface that extends up to infinity.

Therefore, option D is the correct answer.

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Answer:

96.2

Step-by-step explanation:

set them as 96.145 96.200 96.190 then you will know 96.2 is the largest

Answer:

96.2

round all the numbers.. 96.145 --> 96.15, 96.2--> 96.2, 96.19-->96.2

Hence, while purchasing 4 books, both book clubs will impose the same price. Thus, 4 books are the correct response (C).

The volume, quantity, or level about something measured every unit of another. a payment or charge that is predicated on another sum. specifically: the premium per insurance unit. rate transitive

Let's designate "Cost A" for the overall cost of joining a book club and purchasing a specific quantity of titles from club A, and "Cost B" for the overall cost of joining a book club and purchasing a specific quantity of titles from club B.

Cost A = $6 + $3 x (number of books)

Cost B = $2 + $4 x (number of books)

The quantity of books where Cost A = Cost B is what we're looking for is:

$6 + $3 x (number of books) = $2 + $4 x (number of books)

When we simplify this equation, we obtain:

$4 = $1 x (number of books)

Number of books = 4

So, the two book clubs will charge the same price when buying 4 books. Therefore, the answer is (C) 4 books.

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