The fraction 13/16 is closest to which benchmark?

zero
three-sixteenths
one-half
one

The cost incurred by Rachael's restaurant as fixed, variable or mixed are given below.

What is restaurant?

A restaurant is a location where you can consume food while paying for it. In restaurants, a waiter or waitress will typically bring your food to your table. Breakfast, lunch, and dinner are all offered at the restaurant. The restaurant's food was delectable, and the waitstaff was courteous.

Given:

Rachael’s Restaurant, a fast-food restaurant company, operates a chain of restaurants across the nation.

Each restaurant employs eight people; one is a manager paid a salary plus a bonus equal to 4 percent of sales.

Other employees, two cooks, one dishwasher, and four servers, are paid salaries. Each manager is budgeted $3,000 per month for advertising costs.

The cost incurred by Rachael's restaurant as fixed, variable or mixed are,

a. Advertisement c cost relative to number of customers      Fixed

b. Rental cost relative to number of restaurant                    Variable

c. Cooks salaries relative to number of customer             Fixed

d. Cost of Supplies (cups, plates, spoons, etc.) relative

to number of customer                                                     Variable

e. Manager's compensation relative to number of customer Mixed

f. Servers' salaries relative to number of Restaurants        Variable

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Complete question:

Complete question is attached below.

There should be 12 emails total.

7.200 and 2.683 are the variance and standard deviation, respectively.

Calculation of expected number of emails, variance and standard deviation:

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The given quantity needs to be expressed as a single logarithm. Explanation: We know that the following properties of logarithm hold true.log a + log b = log ab log a - log b = log a/b n log a = log a^ n log a ^b = b log a Let's apply the properties of logarithms in order to express the given quantity as a single logarithm. Now, ln(a b) ln(a − b) − 9 ln c= ln a + ln b + ln(a-b) - 9 ln c= ln [(a b)(a-b) / c^9]Therefore, the given quantity can be expressed as a single logarithm, ln [(a b)(a-b) / c^9].

We need to express the given quantity as a single logarithm.In order to express the given quantity as a single logarithm we need to use the following logarithmic identities:

Product Rule: `log_b (mn) = log_b (m) + log_b (n)` and

Quotient Rule: `log_b (m/n) = log_b (m) - log_b (n)`

Using Product Rule we get: `ln(a b) = ln(a) + ln(b)`

Therefore `ln(a b) ln(a − b) = ln(a) + ln(b) ln(a − b)`

And `ln(a b) ln(a − b) − 9 ln c = ln(a) + ln(b) ln(a − b) - 9 ln c`

We can also use the Product Rule on `ln(b) ln(a − b)` to get: `ln(b) ln(a − b) = ln(b(a − b))`

Hence `ln(a b) ln(a − b) − 9 ln c = ln(a) + ln(b(a − b)) - ln(c^9)`

Thus, `ln(a b) ln(a − b) − 9 ln c = ln(ab(a − b)/c^9)`

Therefore, the quantity can be expressed as `ln(ab(a − b)/c^9)` as a single logarithm.

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g(x)=2x-2

Step-by-step explanation:

As given,f(g(x))=h(x). or,g(x)+1=2x-1. [f(x)=x+1 so here x is gonna be g(x) then, g(x)=2x-2 [subtract 1 from both sides]

Answer:

Dimensions to minimize surface are is 28 ft x 28 ft x 14 ft

Step-by-step explanation:

The Volume of a box with a square base of say;x cm by x cm and height

h cm is;

V = x²h

Now, the amount of material used is directly proportional to the surface area, hence we will minimize the amount of material by minimizing the surface area.

The formula for the surface area of the box described is given by;

A = x² + 4xh

However, we need A as a function of

only x, so we'll use the formula;

V = x²h

V = x²h = 10,976 ft³

So,

h = 10976/x²

So,

A = x² + 4x(10976/x²)

A = x² + 43904/x

So, to minimize the area, it will be at dA/dx = 0.

So,

dA/dx = 2x - 43904/x² = 0

Factorizing out, we have;

2x³ = 43904

x³ = 43904/2

x³ = 21952

x = ∛21952

x = 28 ft

since, h = 10976/x²

h = 10976/28² = 14 ft

Thus,dimension to minimize surface are is 28 ft x 28 ft x 14 ft

Answer: C

Step-by-step explanation:

Answer: I think the answer is A.

Step-by-step explanation:

The central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

To find the central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):

Central angle (in degrees) = (Arc length / Radius) * (180 / π)

Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.

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Answer: $47.25

Step-by-step explanation: Formula

900(0.07(9/12)

Answer:

she will pay

The leftover numbers are x² - 3x + 7. As a result, b and c are equivalent to 7. Subsequently, 37 is the two-digit reaction.

The remainder of the polynomial (x²) and (x + 5) can be resolved utilizing either the Long Division Strategy or the Manufactured Division Technique. Utilizing the Long Division Technique: To start, we partition the initial term of the polynomial (x3) by its divisor (x), coming about in x².

After that, we divide this remainder by its divisor (x - 2) to obtain x3 - 2x². From that point forward, we decrease the resulting term and deduct this from the vital polynomial. We keep going through this process until we can no longer divide. x² - 3x + 7 is the remainder of the Long Division Method. Subsequently, b = 3 and c = 7. Using the Synthetic Division Method: Thusly, 37 is the two-digit reaction. We compose the profit's coefficients (x³ 5x² x + 5) and the divisor's root (x - 2) separately in the principal column.

After that, the primary coefficient (1) was moved to the third column. By duplicating the base of the divisor with the primary coefficient, the item (2) is then assembled in the second cell of the third line. After adding the second and third cells to the third column, the aggregate (- 3) is written in the fourth cell. The item (- 6) is then written in the fifth cell, and the short sign (- 3) from the fourth cell is used to duplicate the foundation of the divisor (2). The aggregate (7) is then written in the final cell after the fifth and sixth cells in the third line are added. The coefficients of the quotient that were obtained by employing the Synthetic Division Method are indicated by the numbers in the final row. The leftover numbers are x² - 3x + 7. As a result, b and c are equivalent to 7. Subsequently, 37 is the two-digit reaction..

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The probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds depends on the distribution of bag weights and their relationship to the maximum weight limit.

To estimate the probability, we can assume a normal distribution for bag weights, with a mean and standard deviation. Let's denote the mean as μ and the standard deviation as σ. If we assume that bag weights follow a normal distribution, we can calculate the z-score for the maximum allowable weight of 50 pounds using the formula: z = (x - μ) / σ, where x is the maximum weight.

Next, we can use the z-score to determine the probability using the cumulative distribution function (CDF) of the standard normal distribution. The CDF gives the probability that a random variable is less than or equal to a certain value. In this case, we want to find the probability that the bag weight exceeds 50 pounds, which is equivalent to finding the probability that the random variable is greater than 50 pounds.

Since the CDF provides the probability of being less than or equal to a given value, we can subtract the result from 1 to obtain the probability of being greater than 50 pounds. This probability represents the likelihood of a bag exceeding the maximum allowable weight. However, keep in mind that these calculations are based on the assumption of a normal distribution, and the actual probability will vary depending on the specific characteristics of the bag weights distribution.

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Based on the tree diagram and the independence of the events, we can conclude that the events represented in the diagram are independent events.

To determine if the events are dependent or independent, we need to examine the branches of the tree diagram and check if the outcomes of one event affect the outcomes of the other event.

In the given tree diagram, the selection of colors for the cubes is represented by different branches. Each branch represents an independent event because the outcomes of selecting one color do not affect the outcomes of selecting another color.

The probabilities associated with each branch can be multiplied to calculate the probability of a specific sequence of events indicating that they are independent.

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Answer:

x = 18

Step-by-step explanation:

Give brainliest

SIMPLE

Hello! :)

2(3x − 5) + 5 = 5x + 13 Simplify both sides of the equation

(2)(3x) + (2)(−5) + 5 = 5x + 13 Distribute

6x + −10 + 5 = 5x + 13

(6x) + (−10 + 5) = 5x + 13 Combine like terms

6x + −5 = 5x + 13

6x − 5 = 5x + 13

6x − 5 − 5x = 5x + 13 − 5x Subtract 5x from both sides

x − 5 = 13

x − 5 + 5 = 13 + 5 Add 5 to both sides

x = 18 (ANSWER)

Hope this helped you!

THEDIPER

Answer:

The answer is D) 5, the number of eggs on the charts never exceeds that number.

Answer:

$93.36

Step-by-step explanation:

First subtract 40 from 100 to find how much of the total cost is left. Then multiply 60% or .6 by the total to get your answer. Hope this helps!

Answer:

$93.36

Step-by-step explanation:

Answer:

c right triangle

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A: Method that is used to find either the legs or the hypotenuse of a right triangle.

B: Diagonal line of a right triangle, also used in the Pythagorean Theorem

C: 3-sided shape with a 90-degree angle

D. Lenth and height of a right triangle, used in the Pythagorean Theorem

Answer:

Step-by-step explanation:

-10.9p + 3.9

-10.9p turns positive.

The (p) is isolated.

10.9 - 3.9= 9.18 = -9.18

Answer

-9.18

Answer:

x = 20

Step-by-step explanation:

Answer:

She is correct.

Step-by-step explanation:

1/2 and 50% is the same thing

50%  is 1/2 of 100

Answer:

m<ABD = 24°

m<DBC = 119°

Step-by-step explanation:

m<ABD + m<DBC = m<ABC

2x - 40 + 3x + 23 = 143

5x - 17 = 143

5x = 160

x = 32

m<ABD = 2x - 40 = 2(32) - 40 = 24

m<ABD = 24°

m<DBC = 3x + 23 = 3(32) + 23 = 119

m<DBC = 119°

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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Production: 168,500 units.

Direct materials: 337,000 pounds.

Direct labor: Calculated based on units produced.

Factory overhead: Calculated based on direct labor hours.

1. Production Budget for the Third Quarter:

BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter

Budgeted sales units: 170,000

Add: Desired ending inventory units: 5,500

Total required units: 175,500

Less: Beginning inventory units: 7,000

Units to produce: 168,500

2. Direct Materials Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter

Units to produce: 168,500

Materials needed for production (pounds): 2 pounds per snowboard

Total materials required (pounds): 337,000 pounds

Materials to purchase (pounds): Total materials required - Beginning inventory pounds - Desired ending inventory pounds

3. Direct Labor Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter

Units to produce: 168,500

Direct labor hours needed: 0.5 hour per snowboard

Cost of direct labor: Direct labor hours needed * Direct labor rate

4. Factory Overhead Budget for the Third Quarter:

BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter

Direct labor hours needed: Calculated from the direct labor budget

Budgeted variable overhead: Direct labor hours needed * Variable overhead rate

Budgeted total factory overhead: Budgeted fixed overhead + Budgeted variable overhead

Note: The specific rates for direct materials, direct labor, and variable overhead were not provided in the given information and would need to be included in the calculations based on the company's specific cost structure.

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a. False, the slope of f(x) will be steeper than m(x).

b. False, the y-intercept of m(x) will be equal to f(x).

What is a slope?

Slope and slant both refer to an incline away from a reference surface or line that is generally straight. The definition of slope is "a vertical inclination in an oblique direction" Here, the land abruptly slopes either upward or downhill.

Here, we have

f(x) = x and m(x) = 3/5f(x)

a.  m₁ = slope of f(x) = x is 1

     m₂ = slope of m(x) = 3/5f(x) is 3/5

    m₁ >  m₂

f(x) = x is more steeper than m(x) = 3/5f(x).

b.  a₁ = intercept of f(x) = x is 0.

    b₁ = intercept of m(x) = 3/5f(x) is 0.

The y-intercept of m(x) will be equal to f(x).

Hence, a. False, the slope of f(x) will be steeper than m(x).

b. False, the y-intercept of m(x) will be equal to f(x).

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Answer:

OMG IS THIS IXL my mom paid for me and my sister to use this I HATE IT!!!

Step-by-step explanation:

f(x)=mx

23(5)=m5

115=m5

m=23

slope is 23

i think this is what you needed. im sorry if this is wrong....

PLEASE MARK AS BRAINLIEST!!!! I WOULD REALLY APPRECIATE IT!

STAY SAFE BBY!

Answer:

31.74 million

Step-by-step explanation:

Answer:

A=6a^2

Step-by-step explnation:

if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

No, it is not possible to make two triangles that are not congruent and have three pairs of congruent angles. This is because if two angles of a triangle are congruent, then the third angle must also be congruent by the Angle Sum Theorem, which states that the sum of the angles in a triangle is always 180 degrees. If two triangles have three pairs of congruent angles, then all three angles in each triangle are congruent, meaning they have the same measure. However, this does not guarantee that the sides of the triangles are congruent. In order for two triangles to be congruent, they must have the same angle measures as well as the same side lengths. Therefore, if two triangles have three pairs of congruent angles, then they must be congruent to each other by the Angle-Angle-Angle (AAA) congruence theorem, and thus cannot be non-congruent.

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the probability of experiencing neither side effect is 0.37 or 37%.let's denote the probability of experiencing nausea by P(n) and the probability of experiencing decreased sexual drive by P(d). We know that:

P(n) = 0.23
P(d) = 0.52
P(n ∩ d) = 0.12

We want to find the probability of experiencing neither side effect, which can be denoted by P(~n ∩ ~d), where ~n and ~d represent the complements of nausea and decreased sexual drive, respectively.

We can use the formula for the probability of the union of two events to find P(~n ∪ ~d):

P(~n ∪ ~d) = 1 - P(n ∪ d)

We know that P(n ∪ d) = P(n) + P(d) - P(n ∩ d), so we can substitute the given values to get:

P(n ∪ d) = 0.23 + 0.52 - 0.12 = 0.63

Therefore,

P(~n ∪ ~d) = 1 - 0.63 = 0.37

So the probability of experiencing neither side effect is 0.37 or 37%.

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the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x). Option A is correct

The given diagram is a quadrilateral. Using the mid-segment theorem of shapes;

7 = 1/2(4 + x)

Cross mulltiply

7 * 2 = 4 + x

14  = 4  + x

Subtract 4 from both sides:

14 - 4 = 4 + x - 4

14 - 4 = x

x = 10

Hence the equation that verifies that the value of x in the diagram is equal to 10 is 7 = 1/2(4 + x)

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According to BPT theorem

Lets see how

Yes this satisfies

Option D