Given the function h(x) = 7 + 2x, find the value of h(6)

The optimal prices are $18 for model A and $25 for model B. The maximum total revenue is $570.

The nonlinear programming formulation of the problem is as follows:

maximize

revenue = PA * NA + PB * NB

subject to

NA = 20 - 0.62PA + 0.30PB

NB = 29 + 0.10PA - 0.60PB

PA, PB >= 0

The decision variables are PA and PB, which are the prices of model A and model B, respectively. The objective function is to maximize the total revenue, which is equal to the product of the price and quantity sold for each model. The constraints are that the quantity sold for each model must be non-negative.

The spreadsheet model for the problem is shown below. The input data is in the range A1:B2. The calculations for the objective function and the left-hand side of the constraints are shown in the range C1:C4.

The Answer Report from Solver is shown below. The optimal prices are $18 for model A and $25 for model B. The maximum total revenue is $570.

The recommendation is to set the prices of model A and model B to $18 and $25, respectively. This will maximize the total revenue from the sale of these products.

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Answer:

1/2 × |AB| × |OE|

Step-by-step explanation:

use the formula for finding the area of a triangle.

The numbers 31.3 sec, 41.05 sec, and 42.015 sec represent continuous data since time measurements can take on any value within a given range. Therefore, these numbers are not discrete but continuous.

The numbers, 31.3 sec, 41.05 sec, and 42.015 sec, represent the times taken by the runners to complete their runs. In this case, the numbers are continuous.

Continuous data refers to measurements that can take any value within a certain range or interval. In the context of measuring time, it is possible to have infinitely many possible values between any two given points. For example, between 31.3 sec and 31.31 sec, there can be an infinite number of additional decimal places.

Discrete data, on the other hand, consists of values that are separate and distinct with no intermediate values possible. Discrete data is typically based on counting or whole numbers, such as the number of runners or the number of wins in a competition.

In this scenario, the times of the runners are measured using a continuous scale, where the smallest unit of time can be divided further into smaller increments. Therefore, the times of the runners, 31.3 sec, 41.05 sec, and 42.015 sec, are considered continuous data.

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The figure above shows two circles, one inside the other. The equation x^2 + y^2 = 2 represents the smaller circle, while the larger circle is not explicitly defined in the question.

However, we can see from the graph that the center of both circles is at the origin (0,0) and that the larger circle has a radius twice as big as the smaller circle.

Therefore, the radius of the larger circle is 2 times the radius of the smaller circle, which is the square root of 2. So the answer is (a) √2.
The given equation of the circle is x^2 + y^2 = 2. To find the radius of this circle, we can rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

In this case, the equation is already in the standard form with h = 0, k = 0, and r^2 = 2. Therefore, the radius of the larger circle is r = √2. So, the correct answer is a) √2.

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Answer:

The population after 7 years will be 11887

Step-by-step explanation:

Given

Population = P_0 = 10000

Growth Rate = r = 2.5%

Time = t = 7

The formula for calculating the population after given time at given rate is:

The population after 7 years will be 11887

Step-by-step explanation:

Divide each term in the bracket by 4:

=  

3

x

−

2

Explanation:

Multiplying by  

1

4

is the same as dividing by 4. - You are finding a quarter of something.

To find a quarter of the bracket, divide each coefficient by 4.

You will get two unlike terms so you will not be able to simplify them.

This is the reason why you cannot simplify inside the original bracket either.

Step-by-step explanation:

The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

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The percentage of pregnancies last shorter than 38 weeks is (c) 30.85%.

We can use the normal distribution formula to calculate the percentage of pregnancies that last shorter than 38 weeks:

z = (x - μ) / σ

where z is the z-score, x is the value we are interested in (in this case, x = 38), μ is the mean (μ = 39), and σ is the standard deviation (σ = 2).

Substituting the values, we get:

z = (38 - 39) / 2 = -0.5

We can now use a standard normal distribution table or a calculator to find the percentage of values that fall below the z-score of -0.5. The area to the left of -0.5 is approximately 30.85%.

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The value of x is -2.2.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The linear equation 0.45x + 0.33 = -0.66

The value of x.

The linear equation 0.45x + 0.33 = -0.66 is given.

Then by simplification,

0.45x + 0.33 = -0.66

          0.45x = -0.66 - 0.33

          0.45x = -0.99

                  x = -2.2

Thus the value of x is -2.2.

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Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

Answer:

5.2

Step-by-step explanation:

Answer:

a = 1

Step-by-step explanation:

\(\frac{2}{3} (9x - 3) = 2(3x - a)\)

One must simplify this expression, by distributing. In order to find a solution, where x has infinite solutions, one must make this equation an identity. That means that the equation will hold true, no matter what value of x is plugged in.

\(\frac{2}{3} (9x - 3) = 2(3x - a)\)

Distribute;

6x - 2 = 6x - 2a

Inverse operations;

6x - 2 = 6x - 2a

-6x        -6x

-2 = -2a

1 = a

For this equation to be true no matter what, a must equal 1.

Answer:

1

Step-by-step explanation:

a)

Values of the given angles  ∠A = 123°  , ∠B = 123° ,∠C = 57.

Given ,

One angle of the figure as 123°.

Now,

∠C and 123° form linear pair.

So,

∠C + 123° = 180°

∠C = 57°

Now,

∠C and ∠B are pairs of interior angles on same side of transversal, thus they are supplementary.

∠C + ∠B = 180°

Substitute the value of ∠C

53° + ∠B = 180°

∠B = 127°

Now,

∠B and ∠A are vertically opposite angles.

Thus,

∠B = ∠A

So,

∠A = 127° .

Hence,

∠A= 127°

∠B = 127°

∠C = 57°

b)

Values of ∠D = 98°, ∠E = 98°, ∠F = 98° .

Given one angle as 82°

Now,

∠F and 82° form linear pair.

So,

∠F + 82° = 180°

∠F = 98°

Now,

∠D and ∠F are corresponding angles. Thus,

∠D = ∠F

∠D = 98° .

Now,

∠D and ∠E are vertically opposite angles.

Thus,

∠D = ∠E

∠E = 98°.

Hence,

∠D = 98°

∠E = 98°

∠F = 98°

c)

Values of ∠G = 75° and ∠H = 75°

Given one angle as 75° .

∠H and 75° are corresponding angles. Thus,

∠H = 75°

Now,

∠H and ∠G are vertically opposite angles.

So,

∠G = 75° .

Hence,

∠G = 75°

∠H = 75°

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Answer:

3648

Step-by-step explanatio

Answer:

Answer: 3,648

Step-by-step explanation:

3,648

Answer:

$750

Step-by-step explanation:

Larger share = $450

Smaller share : Larger share :: 2 : 3

Smaller share = (larger share x 2) / 3

= (450x2)/3

= 300

Sum= larger share + smaller share

= $450 + $300 = $750

Answer: x =  - 3

Step-by-step explanation:

Answer:

the inverse of a function is the exact opposite

Step-by-step explanation:

Answer:

D)   f (-1) (x) = x³-12

Step-by-step explanation:

∛x+12                      

Interchange the variables and solve for y

∛y +12 =x

(∛x+12) ³= x³

y+12 = x³

y= x³-12

f (-1) (x) = x³-12

The total surface area of the prism will be 290.125 Square units.

The surface area of a rectangular prism is the measure of how much-exposed area a prism has. Surface area is expressed in square units.

The surface area of a rectangular prism is given by:

SA = 2 (lh +wh + lw )

where

l = 3

w = 4.25

h = 18.25

SA = 2 (3x18.25 + 4.25x18.25 + 3x4.25)

SA = 2 (54.75 + 77.5625 + 12.75)

SA = 2 (146.0625)

SA = 290.125 square units

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If it takes half a dollar to buy 2 ears of corn, then the cost of each ear of corn is a quarter of a dollar (25 cents). Therefore, to buy 3 ears of corn, you would need 75 cents or 0.75 dollars.

Since it takes half a dollar (50 cents) to buy 2 ears of corn, we can calculate the cost of each ear of corn by dividing the total cost by the number of ears. In this case, the cost of each ear of corn is 50 cents divided by 2, which equals 25 cents or a quarter of a dollar. To buy 3 ears of corn, you would multiply the cost of each ear (25 cents) by 3, resulting in a total cost of 75 cents or 0.75 dollars.

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#Complete/Translate Question:- If it takes half a dollar to buy 2 ears of corn, how many dollars are needed to buy 3 ears of corn?

Answer:

29.2

Step-by-step explanation:

arctan=24/43

Answer:

The correct answer is 65.5

Step-by-step explanation:

Just took a test on DeltaMath.

Answer:

no its not

Step-by-step explanation:

from 2 random samples you cant figure it out

To determine how long it takes for Martin and Gordon to complete the maintenance when working together, we can use the concept of their combined work rates.

Martin takes 4 hours to complete the work, so his work rate is 1/4 of the job per hour (1 job / 4 hours = 1/4 job/hour).

Similarly, Gordon takes 2 hours to complete the work, so his work rate is 1/2 of the job per hour (1 job / 2 hours = 1/2 job/hour).

When they work together, their work rates are additive. Therefore, the combined work rate is:

Combined work rate = Martin's work rate + Gordon's work rate

Combined work rate = 1/4 job/hour + 1/2 job/hour

Combined work rate = 3/4 job/hour

To find the time it takes for them to complete the maintenance when working together, we can use the formula:

Time = 1 / Combined work rate

Time = 1 / (3/4 job/hour)

Time = 4/3 hours

Therefore, the correct option is:

Four thirds

The maintenance takes 4/3 hours (or 1 hour and 20 minutes) when Martin and Gordon work together.

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How long it takes for Martin and Gordon to complete the maintenance when working together, we can use the concept of their combined work rates.

Martin takes 4 hours to complete the work, so his work rate is 1/4 of the job per hour (1 job / 4 hours = 1/4 job/hour).

Similarly, Gordon takes 2 hours to complete the work, so his work rate is 1/2 of the job per hour (1 job / 2 hours = 1/2 job/hour).

When they work together, their work rates are additive. Therefore, the combined work rate is:

Combined work rate = Martin's work rate + Gordon's work rate

Combined work rate = 1/4 job/hour + 1/2 job/hour

Combined work rate = 3/4 job/hour

The time it takes for them to complete the maintenance when working together, we can use the formula:

Time = 1 / Combined work rate

Time = 1 / (3/4 job/hour)

Time = 4/3 hours

Therefore, the correct option is:

Four thirds

The maintenance takes 4/3 hours (or 1 hour and 20 minutes) when Martin and Gordon work together.

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Answer:

Hello,

do you mean factorise but not solve ?

Just one formula:

\(\boxed{a^2-b^2=(a-b)(a+b)}\)

Step-by-step explanation:

\(g)\\\\16x^3y-81xy^5\\\\=xy(16x^2-81y^4)\\\\=xy(4x^2+9y^2)(4x^2-9y^2)\\\\=xy(2x-3y)(2x+3)(4x^2+9y^2)\\\\\\\\h)\\\\x^8-y^8\\\\=(x^4+y^4)(x^4-y^4)\\\\=(x^4+y^4)(x^2+y^2)(x^2-y^2)\\\\=(x-y)(x+y)(x^2+y^2)(x^4+y^4)\\\)

Answer:

here only one formula to use in both question

a^2+b^2= (a+b)(a-b)

Answer:

$31.99

Step-by-step explanation:

20 : 100 = x : 39.99

x = 39.99 * 20 / 100

x = 39.99 * 0.2 = 7.998

final price

39.99 - 7.998 = $31.992

Given

Equation

x tea chart __, 0, 2, __

y tea chart 0,__, __, 3

Procedure

y = 0

12x = 16

x = 16/12

x = 4/3

x = 0

-8y = 16

y = 16/-8

y = -2

x = 2

12(2) - 8y = 16

24 - 8y = 16

-8y = 16-24

-8y = -8

y = 1

y = 3

12x - 8(3) = 16

12x - 24 = 16

12x = 16+24

12x = 40

x = 40/12

x = 20/6

x tea chart 4/3, 0, 2, 20/6

y tea chart 0, -2, 1, 3

Answer:

156 divided by 13

Step-by-step explanation:

  156/12 =  13

13 bags

Operating cash flows, also known as OCFs, show the total inflows and outflows of cash that come from the operations of a company. It is used to evaluate a company's ability to produce enough cash to pay for its expenses and debt. To calculate the percentage change in operating cash flows, you can use the following formula:Percentage change in operating cash flows = [(Current operating cash flows - Previous operating cash flows) ÷ Previous operating cash flows] x 100%For example, if a company had operating cash flows of $100,000 in the previous year and $80,000 in the current year, the percentage change in operating cash flows would be:Percentage change in operating cash flows = [($80,000 - $100,000) ÷ $100,000] x 100%Percentage change in operating cash flows = [-0.20] x 100%Percentage change in operating cash flows = -20.00%Therefore, in this example, the percentage change in operating cash flows is a decrease of 20.00%.

The percentage change in operating cash flows is obtained by subtracting the present cash flow with the initial cash flow, dividing this by the initial cashflow and multiplying the result by 100.

To calculate the percentage change in operating cash flows, we have to first obtain the present operating cash flow.

Next we subtract this from the inital operating cash flow, divide the result by the initial operating cash flow and multiply the result by 100. As the question requires, we will round the result obtained to 2 decimal places.

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Problem

Solution

We want to find the sum of 3/10 and 1/3 so we can do the following operation:

(3*3 + 1*10)/ (10*3)

And if we solve we got:

(9 +10)/ 30 = 19/30

And our final solution would be 19/30

The answer is the independent variable

Here, we want to select the choice that can impact the dependent variable

A dependent variable is one which has its value depending on an input

This input is called the independent variable

In clear terms, we are sourcing the values of the dependent varaible from the independent

In a well designed experiment, the control, constant and the extraneous variable will not affect the dependent variable. Only the independent variable has an effect or impact on the activities, values or actions of the dependent variable

1 kilogram is equal to approximately 2.205 pounds (lbs).

Pounds are defined as the unit of weight of an object. This type of weighing in pounds is generally used in Britain.

It is also denoted as Lb or Lbs in short.The full form of Lb is Libra which is a Latin word meaning balance or scales. It also stands for the ancient Roman unit of measure “libra pondo” which means “a pound by weight.”

Pounds (lb) and kilograms (kg) are two of the most commonly used units to measure the mass of a specific body.

Therefore, accurate conversion between these two is very essential and important for accurate trade, engineering, and science study.

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