Write regard to mathematics what is an acceptance statement of the fact that is used to prove another statement

Diversified Citrus Industries will sell Zap to wholesalers at a price of $0.035 per 8-ounce can. The contribution per unit for Zap is -$0.205, indicating potential profitability issues.

a. To determine the price at which Diversified Citrus Industries will be selling its product to wholesalers, we need to consider the suggested retail price, the unit variable costs, and the desired margins for retailers and wholesalers. The suggested retail price to the consumer for the 8-ounce can is $0.05. The unit variable costs for the product are $0.18 for materials and $0.06 for labor. The company intends to give retailers a margin of 20% off the suggested retail price and wholesalers a margin of 10% of the retailer's cost.

Price to Wholesalers = Suggested Retail Price - Retailer's Margin - Wholesaler's Margin

Price to Wholesalers = $0.05 - ($0.05 * 20%) - ($0.05 * 10%)

Price to Wholesalers = $0.05 - $0.01 - $0.005

Price to Wholesalers = $0.035

Therefore, Diversified Citrus Industries will be selling its product to wholesalers at a price of $0.035 per 8-ounce can.

The contribution per unit for Zap can be calculated by subtracting the unit variable costs from the selling price to wholesalers:

Contribution per Unit = Price to Wholesalers - Unit Variable Costs

Contribution per Unit = $0.035 - ($0.18 + $0.06)

Contribution per Unit = $0.035 - $0.24

Contribution per Unit = -$0.205

Since the contribution per unit is negative, it means that the variable costs exceed the price to wholesalers. This suggests that the product may not be profitable in its current pricing and cost structure.

The break-even unit volume in the first year can be calculated by dividing the fixed overhead costs by the contribution per unit:

Break-even Unit Volume = Fixed Overhead Costs / Contribution per Unit

Break-even Unit Volume = $90,000 / (-$0.205)

However, since the contribution per unit is negative, the break-even unit volume cannot be determined using this approach.

The first-year break-even share of the market cannot be determined based on the information provided. The total market size and the expected sales volume of Zap are not specified, making it impossible to calculate the market share at the break-even point.

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Answer:

1. = -560

2. = I181

3. = 752

4. = I311

5. = 572

6. = I831

7. = -3450

8. = 5980

9. = -I1121

10. = -I1431

Answer:

b / 3

Step-by-step explanation:

2br = 2r * b

6r = 2r * 3

A = 2br ÷ 6r

  = ( 2r * b ) / ( 2r * 3 )

A = b / 3

Answer:

x=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

➜-2x+4=0

➜-2x=-4

➜2x=4

➜x=4/2

➜x=2

The probability that a blue marble was drawn followed by a yellow marble is; 0.45.

According to the task content;

On this note , the probability that a blue marble and yellow marble were drawn respectively is;

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Answer:

She should buy the coat and pay for shipping

Step-by-step explanation:

Set up a proportion to express the the 80 pounds to yen.

\(\frac{2}{292.82}\) = \(\frac{80}{x}\)

2 x 40 = 80

292.82 x 40 = 11,712.80

230.50 + 25.30 = 255.8

255.80 < 11,712.80

Helping in the name of Jesus.

Answer:

14

Step-by-step explanation:

this is a 45-45-90 (we can tell because the value of each side is equal, hence the equal angles).

this, we know in a 45-45-90 the sides are x and the of sqrt(2)x. For the sides, we just have to remove the sqrt(2) as a result.

Hope this helps! :)

Answer:

Each central angle will have measure \dfrac{2\pi}{24}=\dfrac\pi{12}\text{ rad}=15^\circ242π=12π rad=15∘ .

The arc length LL of each 1/24-th section of the wheel occurs in the following ratio with the whole wheel's circumference:

\dfrac{2\pi\text{ rad}}{2\pi(15)\text{ ft}}=\dfrac{\frac\pi{12}\text{ rad}}L\implies\dfrac1{15}=\dfrac\pi{12L}\implies L=\dfrac{15\pi}{12}\text{ ft}2π(15) ft2π rad=L12π rad⟹151=12Lπ⟹L=1215π ft

L\approx3.93\text{ ft}L≈3.93 ft

The area of the sector AA occurs in a similar ratio with the wheel's total area:

\dfrac{2\pi\text{ rad}}{\pi(15)^2\text{ ft}^2}=\dfrac{\frac\pi{12}\text{ rad}}A\implies\dfrac2{225}=\dfrac\pi{12A}\implies A=\dfrac{75\pi}8\text{ ft}^2π(15)2 ft22π rad=A12π rad⟹2252=12Aπ⟹A=875π ft2

A\approx29.45\text{ ft}^2A≈29.45 ft2

Answer: 47.14

Step-by-step explanation:

Eve now completes a percent   mile in about 67% less time than she did previously.

In essence, percentages are fractions with a denominator of 100. The cent symbol (%) is placed next to a number to indicate that it is a percentage. As an illustration, if you answered 75 of 100 questions correctly on an examination (75/100), then would have received a score of 75% percent drop (original value − new value) / initial value x 100%).

Let's use "t1" for yesterday's time and "t2" for today.

t1 = 15 minutes, t2 = 5 minutes.

Using the equation, we obtain:

percentage decrease equals (t1 - t2) / (t1 x 100%) percentage decrease equals (15 - 5) / (15 x 100%) percentage decrease equals 10 / (15 x 100%) percentage decrease equals 0.666... x 100% percentage decrease equals 67%

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Answer:

a = 6, b = 6√2, c = 2√3, d = 6

Step-by-step explanation:

Applying,

sin60° = a/4√3

Therefore,

a = sin60°×4√3

a = (√3/2)(4√3)

a = 3×2

a = 6

Also,

cos60 = c/4√3

c = cos60×4√3

c = 0.5×4√3

c = 2√3

also,

tan45 = a/d

d = a/tan45

d = 6/(1)

d = 6

Also,

sin45 = a/b

b = a/sin45

b = 6/(1/√2)

b = 6√2

The value of a=12

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equals to symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

\(\frac{a}{15}=\frac{4}{5}\)

or, 5a=4*15

or, a= 4*15/5

or, a= 12

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The motion of the particle with position (x, y) as t varies in the given interval. x = 3 sin t, y = 1 + cos t, 0 ≤ t ≤ 3π/2 is an ellipse with equation

x²/3² + (y - 1)²/1 = 1

The motion of a particle describes the movement of the particle.

To describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3 sin t, y = 1 + cos t, 0 ≤ t ≤ 3π/2, we proceed as follows.

Since

Re-writing both equations, we have that

Now, using the trigonometric identity sin²t + cos²t = 1, we have that

sin²t + cos²t = 1,

(x/3)² + (y - 1)² = 1

x²/3² + (y - 1)²/1 = 1

Comparing this to the equation of an ellipse, with center (h, k) we see that

(x - h)²/a² + (y - k)²/b² = 1

So,

Now since a > b, we see that the x - axis is the major axis

So, the motion of the particle is an ellipse with equation

x²/3² + (y - 1)²/1 = 1

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Given:

To Determine: The equation describing the relationship between y and x

Solution:

Step 1: Introduce the constant into the given variation

Step 2: Substitute the given values of y and x to find the constant

Step 3: Substitute k into the equation

Hence, the equation describing the relationship between x and y is

y = 9x

===========================================================

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

a^2 + b^2 = c^2

(BD)^2 + (CD)^2 = (BC)^2

24^2 + x^2 = 25^2

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.

96

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

On the basis of given informations and values the angle of elevation of the ramp is calculated to be approximately 22 degrees.

We can use the tangent function to find the angle of elevation of the ramp. Let's call the height of the ramp "h" and the horizontal distance from the bottom of the ramp to the building "d". Then the tangent of the angle of elevation θ is given by:

tan θ = h/d

Substituting the given values, we get:

tan θ = 6/15

Simplifying this expression, we get:

tan θ = 0.4

To find the angle θ, we can take the inverse tangent (or arctan) of both sides of the equation:

θ = tan⁻¹ (0.4)

Using a calculator, we get:

θ ≈ 21.8 degrees

Therefore, the angle of elevation of the ramp to the nearest degree is 22 degrees.

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Therefore, when the water is 6 inches deep, the rate of rise is 1.25 ft/min.
The rate at which the water level is rising when the water is 6 inches deep can be calculated by using the following formula:

Rate of rise = Volume/Time

Given:

The volume of water in the trough when the water is 6 inches deep can be calculated using the following formula:

Volume = Length x Width x Depth

Volume = 10 ft x 3 ft x 0.5 ft (6 inches = 0.5 ft)
Volume = 15 ft3

Rate of rise = Volume/Time
Rate of rise = \(15 ft3/12 ft 3/min\)

Rate of rise = \(1.25 ft/min\)

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Answer:

x=2

Step-by-step explanation:

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Answer:

(x+10)/5

Step-by-step explanation:

Given the function

g(x) = 5(x-2)

Open the parenthesis

g(x) = 5x-10

To find the inverse we need to follow the steps;

Step 1; make y as g(x)

y = 5x-10

Step 2; replace y with x;

x = 5y - 10

Step 3; make y the subject of the formula;

x = 5y-10

5y = x+10

y = (x+10)/5

Step 4: substitute y as g^(-1)(x)

g^(-1)(x) = (x+10)/5

Hence the inverse of the function is (x+10)/5

Answer: x+10/5

Step-by-step explanation:

Same as above

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

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Answer:

Not happy with it! :)

Step-by-step explanation:

I dont get the point. its a pain to change the time on the clock and i hate getting up early!! Not a early lol

Have an amazing day!!

PLEASE RATE!

Since the expressions have the same terms and the same coefficients, they are equivalent for all values of x.

The concept of plagiarism is an important one to consider when writing any type of academic paper. Plagiarism is defined as the use of someone else's ideas, words, or work without giving them proper credit. Plagiarizing can have serious consequences, including getting a failing grade on an assignment or even expulsion from school. It is important for students to understand that plagiarism is a serious academic offense and is not tolerated in the academic world. One way to avoid plagiarism is to cite all sources that are used in the paper. This includes both direct quotes and paraphrases.

The expressions are equivalent for all values of x. To show this, we can simplify the expressions by combining like terms.

3x+6-x-x+4 = 3x+4+5+5

4x+5+x+5 = 4x+5+5

Since the expressions have the same terms and the same coefficients, they are equivalent for all values of x.

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The exact circumference of the circle is π√200 in.

The approximate circumference of the circle is 14.42 in.

The exact area of the circle is 50π in².

The approximate area of the circle is 157.1 in².

The circumference of the circle is calculated as follows;

C = πD

where;

The diameter of the circle is calculated as follows;

the diameter of the circle = diagonal length of the suqare

The diagonal length of the square is calculated by applying Pythagoras theorem.

D² =  ( 10²  +  10² )

D² = 200

D = √ ( 200)

D = 14.14

The exact circumference of the circle is calculated as;

C = πD

C = π√200

The approximate circumference of the circle is calculated as;

C = π x 14.14

C = 14.42

The exact area of the circle is calculated as;

A = πr² = πD²/4

recall D² = 200

A = π (200/4)

A = π x 50 = 50π in²

The approximate area of the circle is calculated as;

A = πD²/4

A = π x (200/4)

A = 50π = 157.1 in²

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The elements in the table are in proportional.

Since for every 3unit increase in x, there is a 7 unit increase in y element. Thus, the elements in the table are in proportional.

When x=0 the value of y=0, when x=3 the value of y=7, and finally when x=6 the value of y=14.

The elements is in proportional because the next element is then defined as the multiple of two of the previous element.

The values of a set are displayed along with how frequently they occur in a frequency table and in the given situation, (D) 25% of her students are in the beginner class.

A frequency table shows the values of a set together with how frequently they occur.

The frequency of a certain data value in your dataset is how frequently it appears.

You can learn which data values are typical and uncommon by using these tables.

To understand which alternatives appear more or less frequently in the dataset, frequency tables are useful.

This is useful for better understanding each variable and determining whether or not variables need to be recorded.

So, in the given situation after observing the given table:

We can easily tell that:

Total beginner: 0.25 out of 1.0

Which is 25%.

Then,

25% of students are in the beginner class which is 0.25.

Therefore, the values of a set are displayed along with how frequently they occur in a frequency table, and in the given situation, (D) 25% of her students are in the beginner class.

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Answer:

4$ for one hotdog

Step-by-step explanation:

60/15 =

4.

One hotdog equal 4$

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The rate of one hot dog is $4.

We are given that there are 15 hot dogs which cost $60.We have to calculate the amount of rate for one hot dog.

By the unitary method,

Amount of rate for one hot dog = is $60/15=$4

Hence one hot dog cost $4.

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Answer:

A

Step-by-step explanation:

2 (4x-6) = 6x-4

8x-12=6x-4

2x=8

x=4

Tim drove at a distance of 511 km in 7 h. His average driving speed in km/h is 73.

By computing Tim's average driving speed, we have to divide the total distance that he traveled by the time it takes him to complete the whole journey. In this respect, Tim drove a total distance of 511 km in 7 hours.

Average driving speed = Total distance/Total time taken

By putting the values in the equation we get :

Average driving speed =\(\frac{ 511 km}{7 h}\)

Now by computing  the average driving speed:

Average driving speed = 73 km

So, Tim's average driving speed was 73 km/h.

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