Renee has two job offers to be a door-to-door
food processor salesperson. Pro Process
Processors offers her a base salary of $15,000
per year plus an additional $25 for each
processor she sells. Puree Processors offers
her a base salary of $18,000 per year plus an
additional $21 for each processor she sells.
Determine the number of food processors
Renee would have to sell for both companies
to pay her the same amount. Explain which
job offer Renee should accept based on
the number of food processors she expects
to sell.

The dimensions of the rectangle is 25m × 25m.

Two dimensions make up a rectangle: the length and, perpendicular to that, the breadth.

The three dimensions of a three-dimensional shape are length, width, and depth.

It is given that

Perimeter of the rectangle = 100m

Area is as large as possible if both the values are the same number.

The measurements must be equivalent for the rectangle to attain its maximum area.

Consider the dimensions as x

So perimeter can be written as

2 (x + x) = 100

2 (2x) = 100

By additional computation

4x = 100

Divide both sides by 4

x = 25

Therefore, the dimensions of a rectangle is 25m × 25m.

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Answer:

5 dollars per week

Step-by-step explanation:

20 ÷ 4 = 5

30 ÷ 6 = 5

I believe that is your question.

By using  the sum or difference formula of cosine to solve cos(525°) we get cos(525°) = -0.465

The formula to find the value of cos(A ± B) is given as,

cos(A + B) = cosA cosB − sinA sinBcos(A − B) = cosA cosB + sinA sinB

Here, A = 450° and B = 75°

We can write 525° as the sum of 450° and 75°.

Therefore,cos(525°) = cos(450° + 75°)

Now, we can apply the formula for cos(A + B) and solve it.

cos(A + B) = cosA cosB − sinA sinBcos(450° + 75°) = cos450° cos75° − sin450° sin75°= 0.707 × 0.259 − 0.707 × 0.966= -0.465

Substituting the values in the above equation, we get

cos(525°) = 0.707 × 0.259 − 0.707 × 0.966= -0.465

Thus, cos(525°) = -0.465.

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The polar equation for the curve represented by the Cartesian equation V3x y = 3 is r = 3 / √(3cosθ + sinθ).

To convert the given Cartesian equation into polar form, we can use the relations x = rcosθ and y = rsinθ. Substituting these values into the equation V3x y = 3, we get V3(rcosθ)(rsinθ) = 3. Simplifying this expression, we have V3\(r^2\)cosθsinθ = 3.

Next, we can square both sides of the equation to eliminate the radical: 3\(r^2\)cosθsinθ = 9. Rearranging the terms, we have \(r^2\)cosθsinθ = 3. Now, we can use the identity cosθsinθ = 1/2sin2θ to further simplify the equation: \(r^2\)(1/2sin2θ) = 3. Multiplying both sides by 2, we obtain\(r^2\)sin2θ = 6.

Finally, we can rewrite the equation in terms of r and θ: \(r^2\)= 6/sin2θ. Taking the square root of both sides, we have r = √(6/sin2θ). Simplifying further, we get r = √(6/(2sinθcosθ)). Since sinθ = r/\(\sqrt(r^2 + z^2)\) and cosθ = z/\(\sqrt(r^2 + z^2)\), we can substitute these values into the equation: r = √(6/(2(r/\(\sqrt(r^2 + z^2)\))(z/\(\sqrt(r^2 + z^2)\)))). Simplifying this expression, we finally arrive at r = 3 / √(3cosθ + sinθ), which is the polar equation for the given curve.

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Answer:  

Letter D

Step-by-step explanation:

not always zero

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Answer:

Step-by-step explanation:

87.92*3.14/4=504.3

Answer:

d = 122°

Step-by-step explanation:

d and 58° are a linear pair and sum to 180° , that is

d + 58° = 180° ( subtract 58° from both sides )

d = 122°

Answer:

18

Step-by-step explanation:

Subtract 6 from both sides so the equation becomes 1/9x=2. Multiply by the reciprocal on both sides (9)1/9x=2(9).

This cancels out to x=18

The expression that are equivalent to -4/3p - 2/5 are - 2/5 -4/3p and -4/3p + (-2/5)

From the question, we have the following parameters that can be used in our computation:

-4/3p - 2/5

The equivalent of the above expression is

- 2/5 -4/3p

Another equivalent of the above expression is

-4/3p + (-2/5)

These are represented by options (a) and (d)

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Step-by-step explanation:

here you go I hope my answer is correct goodbye

Answer:

i think you draw it

Step-by-step explanation:

it tells you the answer

The price of the advertisement that originally costs $110 after a 15% markdown is $ 83.5.

Original price = $110

Markdown percent = 15%

Reduce in price = 15% of 110

To calculate this, we divide the percent by 100 and multiply it by the number given. Like in the above case, we divide 15 by 100 to get 0.15 and multiply it by 110.

= 0.15 * 110 = 16.5

Price after markdown = original price - reduction in price

= 110 - 16.5

= $ 83.5

Thus, the price for a quarter-page ad of the school yearbook which used to be $110 has come down to $83.5 after a 15 % markdown to attract more sponsors.

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The slope of the line that passes through the given points (1, -1) and (-8, -7) as required is; 2 / 3.

It follows from the task content that the slope of the line which passes through the given points is to be determined.

Since the slope formula, m = (y2 - y1) / (x2 - x1)

Therefore, the slope of the line in discuss is;

Slope, m = (-7 -(-1)) / ( -8 -1)

m = -6 / -9

m = 2 / 3.

Hence, the slope of the line that passes through the points in discuss is; 2 / 3.

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Step-by-step explanation:

x^2=9/49

√x^2=√9/49

x=+or-3/7

Answer:The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.

Answer the questions to estimate the probability that the Iceblades will win the game.

1. The paired digits 00 to 99 represent 100 shots.

Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.

Write your answer in the space below.

2. Each group represents the 5 shots taken by the other team. To win the game, the Iceblades cannot let the other team score any goals.

For a group to be a success, how many of the 5 shots does the goalie need to save?

Write your answer in the space below.

3. Group 1 is a success. Explain why.

Write your answer in the space below.

4. In this simulation, which groups are successes? How many successes are there in the 10 groups

Step-by-step explanation:

A bell-shaped probability distribution that is symmetrical about its mean is the student's t-distribution. In the following situations, it is thought to be the distribution that should be used to build confidence intervals when working with little samples that have fewer than 30 components if it is unclear what the population variance is.

When the involved distribution is either normal or nearly normal.

A t-distribution is used to test the following in addition to being used to build confidence intervals:

Individual population mean

The variations in two population means.

The average variation among paired (dependent) populations.

The correlation coefficient for the populace.

If the sample size is high enough for the central limit, a t-distribution may still be viable for usage even in the absence of explicit normality for a specific distribution theorem that must be used. In this scenario, the distribution is regarded as roughly normal.

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Answer:

\(3a {}^{2} \)

Answer:

The answer is 6

Step-by-step explanation:

The absolute value of x is x and (-x) is also x

So, |-6| = 6

Thus, The answer is 6

-TheUnknownScientist 72

The expression for the total number of cans of food would be: 9s

A variable is a symbol or letter that denotes a possible range of values or quantities. It is used to express relationships between numbers and to solve equations and problems, and is typically represented by a letter like x, y, or z.

A variable's value can be determined by its context of use or by resolving an inequality or equation that it appears in. Variables are frequently used in algebra to represent unknowns or to simplify challenging formulas.

Let's use the variable "s" to represent the number of students participating in the food drive.

Then, the expression for total number of cans of food would be: 9s

This is because each student is committing to bringing 9 cans of food, so if there are "s" students participating, then the total number of cans of food would be 9 times the number of students (9s).

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The inequality which is used to find the number of cups of yogurt Monica can buy is,

\(1.20x+2.5\leq20\)

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Monica needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. Let suppose the number of cups of yogurt bought by Monica is x.

As she has only $20. Thus, the inequality expression which can be used for this condition is,

\(1.20x+2.5\leq20\)

Solve the above equation and find the value of x,

\(1.20x\leq20-2.5\\1.20x\leq17.5\)

Divide both side with 1.20,

\(x\leq\dfrac{17.5}{1.20}\\x\leq14.58\overline3\)

Hence, the number of cups she can Monica is 14.

Thus, the inequality which is used to find the number of cups of yogurt Monica can buy is,

\(1.20x+2.5\leq20\)

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Answer:

b

Step-by-step explanation:

The maximum height of the rocket is 50 meters.

The path of a particular fireworks rocket is modeled by the given equation:

\($$h(t) = -5t^2 + 30t + 5$$\)

where h is the height of the rocket in meters and t is the time in seconds. To find the maximum height of the rocket, we need to find the vertex of the parabola. We can do this by using the formula:-

b/2a for the t-coordinate and then substitute the value of t in the equation to find the corresponding height. The general form of a quadratic function is given as

\($$f(x)=ax^2+bx+c$$\)

where a, b, and c are constants; a ≠ 0.

The vertex of the quadratic function is given as

\($$( -\frac{b}{2a},f(-\frac{b}{2a}))$$\)

Therefore, the formula for the t-coordinate of the vertex of the parabola is:

\($$t = -\frac{b}{2a}$$\)

Here, a = -5 and b = 30. Substituting these values in the above formula, we get:

\($$t = -\frac{30}{2(-5)} = 3$$\)

The corresponding height can be found by substituting t = 3 in the equation for h(t):

\($$h(3) = -5(3)^2 + 30(3) + 5 = 50$$.\)

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Answer:

- 1

Step-by-step explanation:

Step 1:

- 10 + x + 4 - 5 = 7x - 5

Step 2:

- 11 + x = 7x - 5

Step 3:

- 11 = 6x - 5

Step 4:

- 6 = 6x

Answer:

- 1 = x

Hope This Helps :)

True. depending on the circumstances, the dequeue method of our linkedqueue class sometimes throws the queueunderflowexception

The dequeue method of a LinkedQueue class throws a QueueUnderflowException when the queue is empty, and the user attempts to remove an element from it. This is because removing elements from an empty queue is not allowed and violates the basic properties of a queue data structure. Therefore, depending on the circumstances, the dequeue method may throw a QueueUnderflowException to indicate that the operation is invalid.

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Answer:

128

Step-by-step explanation:

(4^2)(4)(2)

128

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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