Range of 63, 42, 28, 45, 36, 48, 32, 40, 57, 49

The total profit P in terms of x can be expressed as

P(x) =  (a - c) (a/(x-c) + b(95-x))

The selling price that will maximize profit is the positive constant, a in dollars.

To find the selling price that will bring a maximum profit, we need to find the derivative of the profit function P(x) and set it equal to 0.

The profit function P(x) is given by P(x) = nx - nc,

where n is the number of backpacks sold and c is the cost to manufacture and distribute each backpack.

Substituting the given expression for n into the profit function gives:

P(x) = (a/(x-c) + b(95-x))x - c(a/(x-c) + b(95-x))

P(x) = (a - c) (a/(x-c) + b(95-x))

To find the selling price that will maximize profit, we need to find the critical points of P(x) by taking the derivative of P(x) with respect to x and setting it equal to 0:

P'(x) = (a - c) (-a/(x - c)² - b) = 0

Thus P'(x) = 0 at c = a or (x - c)² = -a/ b

a and b are positive constants, so -a/ b is negative but (x - c)² is never negative, so it is not a possible solution.

So only solution is c = a, that is for maximum profit selling price, c should be equal to the positive constant, a.

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When we reverse the integration and evaluation orders, we obtain: [tex]\frac{c}{2}-1[/tex]

In mathematics, an integral lends numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinitesimally small amounts of data. Integration is the action of locating integrals.

So, we have:
[tex]$$\int_0^1 \int_x^z e^{\frac{x}{y}} d y d x$$\\[/tex]

Here:  [tex]z=\sqrt{x}[/tex]

Next, reverse the sequence:

[tex]$$\int_0^1 \int_m^y e^{\frac{x}{y}} d y d x$$ $m=y^2$$$\\\\\begin{aligned}\\& \int_{=0}^1\left(e^{\frac{x}{y}} y\right) \| \begin{array}{l}y \\y^2\end{array} d y \\& \int_{=0}^1(e y)-\left(e^y y\right) d y\end{aligned}$$[/tex]

The following section uses integration by parts,

[tex]$$\begin{aligned}& \mathbf{u}=\mathbf{y}, \\& d v=e^y\end{aligned}$$$$\mathrm{d} u=1$$$$v=e^y$$$$\begin{aligned}& =\left(\left(\frac{e y^2}{2}\right)-\left(y e^y\right)\right)||_0^1+\int_0^1 e^y d y \\& = \\& =\frac{e}{2}-e+e-1=\frac{e}{2}-1\end{aligned}$$[/tex]

Therefore, when we reverse the integration and evaluation orders, we obtain: [tex]\frac{c}{2}-1[/tex]

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Correct question:

Evaluate the integral by reversing the order of integration.

8 0 2 3ex4 dx dy 3 y

The rate of recycling 200 pounds of cans based on the mentioned information is $110.

Firstly calculating the cost of cans per pounds. Then we will proceed to actual calculation about rate of recycling 200 pounds.

Cost of recycling one pound of can = total cost ÷ number of recycled cans

Keep the values in formula

Cost of recycling one pound of can = 23.65/43

Performing division

Cost of recycling one pound of can = 0.55

Cost of recycling 200 pounds of cans = 0.55 × 200

Performing multiplication

Cost of recycling 200 pounds of cans = 110

Therefore, the required rate is $110.

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After H hours of coaching, let E indicate her profits (in dollars). She receives $20 for every hour she tutors. This indicates that her total earnings in H hours would be  E = 20H.

After H hours of coaching, let E indicate her profits (in dollars). She receives $20 for every hour she tutors. This indicates that her total earnings in H hours would be

E = 20H.

We would enter H = 17

into the formula to get Mai's pay after 17 hours of tutoring.

E = 20 × 17 E = $340 is the result.

The complete question is:

Mai tutors history. For each hour that she tutors, she earns 20 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H . Then use this equation to find Mai's earnings after tutoring for 17 hours.

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Answer:

Step-by-step explanation:Its actually 102, not 110

The probability that a car chosen at random will need no​ repairs = 72%; no more than one​ repair = 91%;  some​ repairs = 9%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

28% of all vehicles will require some sort of repair; of these, 19% will require one repair, 7% will require two repairs, and 2% will require more than two repairs.

The number of vehicles that would not require any form of repairs is equal to the entire number of vehicles less the proportion that requires repairs; for example, 100% - 28% = 72%. The total number of automobiles minus the percentage that require more than one repair equals the percentage of vehicles that will require no repairs or just one

; hence, 100% - (7% + 2%) = 91%. The total number of vehicles in need of repairs is equal to the product of those with two repairs and those with three or more.

the probability that a car chosen at random will need no​ repairs = 72%; no more than one​ repair = 91%;  some​ repairs = 9%

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Based on the information provided, Qamar will have enough lacquer to cover the floor and 24 square feet will be left over.

Based on the information given, Qamar has 600 square feet.

To calculate the total lacquer Qamar needs, it is necessary to calculate the area of the floor that has to be covered. In the case of a parallelogram, the area can be calculated using the following formula:

Now, if the total of material available is 600 feet, it can be concluded there is enough material to cover this floor. Let's calculate the lacquer left over:

Note: This question is incomplete; here is the missing information:

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The midpoint of 0 and 5 is 2.5.

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

A compass and straightedge setup can be used to locate the midpoint of the line segment they determine given two points of interest. By initially building a lens out of circular arcs with equal radii centered at the two endpoints and joining the cusps of the lens, one can determine the midpoint of a line segment immersed in a plane. The midpoint of the segment is then the place where the line joining the cusps intersects the segment.

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the ball go after the third bounce is 77 centimeters  when A ball was dropped from a height of 150 cm. The rebound factor of the ball is

0. 8.

In math, height is defined as the vertical distance from the top to the object's base. Occasionally, it is labeled as 'altitude'. The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry

based on the given information

A ball was dropped from a height of 150 cm.

The rebound factor of the ball is 0.8

Evaluate the ball go after the third bounce is given by

150* 0.8 ^3= 77

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The right angle triangle is the name of the 3, 4, and 5 triangles.

A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.

The formula states that in a right triangle:

The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.

(Hypotenuse)² = (Base)² + (Altitude)²

c²=a²+b²

The three numbers which satisfy the above formula are the Pythagorean triplets

Properties of right angle:

The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.

The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.

consider c=5 a=3, b=4 substitute in above formula:

5²=3²+4²

⇒25=9+16

⇒25=25

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An equation in which the highest power of the variable is 1 is known as a linear equation. It is also termed a one-degree equation.

There are two types of linear equations, linear equations in one variable and linear equations in two variables. The standard form of a linear equation in one variable is Ax + B = 0. Where x = variable, A = coefficient and B = constant.

The standard form of a linear equation in two variables is Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always formed in a straight line. That is why it is named a 'linear equation'.

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Answer:

10

Step-by-step explanation:

no explanation just math-way

The length of the rectangle is 4 units.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Let n be the length of the rectangle.

The width of a rectangle is the length minus 2 units.

The width = n - 2

The area of the rectangle is 8 square units.

The area of the rectangle = length x width

8 = n (n-2)

n²-2n - 8 = 0

n²-4n+2n - 8 = 0

n(n-4)+2(n-4) = 0

(n+2)(n-4) = 0

n = 4 and -2.

So the length is 4 units.

Therefore, 4 units are the length of the rectangle.

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Answer:

Step-by-step explanation: (11c + 8) (-9c - 1)

Then expand

which would be 11c ( -9c - 1) + 8 ( -9c - 1)

-99c^2 -11c - 72c - 8

It becomes -99c^2 - 83c -8

I hope this was helpful

The length of the ramp is 161.62 inches when the barrel turns 47 times in being rolled up the ramp.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The circumference of the circular base of the barrel is given by the formula C = πd, where C is the circumference and d is the diameter of the base.

In this case, d = 1.1 inches, so C = π1.1 inches = 3.46 inches.

Since the barrel turns 47 times, the distance it travels is 47 times the circumference of the base,

47 × 3.46 inches = 161.62 inches

Therefore, the length of the ramp is 161.62 inches.

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If Shapera mowed 7 lawns and worked for 36 hours at pet store and delivered newspapers 7 days , then she earned $497 which is not enough to buy the computer .

the amount that she earns in mowing each lawn is = $15 ;

So , the amount earned for mowing 7 lawns is = [tex]15\times 7[/tex] = $105 ;

the amount that she earns per hour working at pet store is = $7 ;

So , amount earned for working 36  hours is = [tex]36\times 7[/tex] = $252 ;

the amount that she earns by delivering newspapers per day is = $20 ;

So , amount earned by delivering newspapers for 7 days =[tex]20\times7[/tex] = $140 ;

The total amount earned by Shapera is = [tex]\$ 105 + \$252+\$140[/tex]

On adding all the amount earned ,

we get ;

= $497 ;

The amount earned by Shapera is $497 .

Therefore , Shapera will not be able to buy the $499 computer as she is $2 less than the price .

The given question is incomplete , the complete question is

Shapera has three sources of income. She earns $15 for each lawn she mows. She earns $7 per hour working part-time at a pet store She earns $20 each day she delivers newspapers.

In the six weeks, Shapera mowed 7 lawns, worked 36 hours at the pet store, and delivered newspapers 7 days. Did she make enough to buy the $499 computer ?

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I would choose both I and II for accomplishing the task of "When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar."

Click the Commands Not in the Ribbon option in the Customize Quick Access Toolbar dialog box. Click Filter in the list of commands. Select the Add option. Press the OK button. You may use the FILTER function to filter a set of data depending on criteria you provide. The Filter option makes it simple to narrow down your search field.

Here,

I would choose both I and II to complete the task of "When you wish to Add or Remove Filters, go to the Data ribbon, then Filter. You'd prefer to do this with a single click, so you add Filters to the Quick Access Toolbar."

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x = - 8 is the solution for 7x + 5 = - 19. This can be solved using the concept of equation solving.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

7x + 5 = -19

or, 7x = - 19 - 5

or, 7x = - 24

or, x = - 8

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Yes, A triangle has sides of lengths 10, 24, and 26 is a right triangle.

A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.

The formula states that in a right triangle:

The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.

(Hypotenuse)² = (Base)² + (Altitude)²

c²=a²+b²

The three numbers which satisfy the above formula are the Pythagorean triplets

Properties of right angle:

consider c=26 a=10, b=24 substitute in above formula:

26²=10²+24²

⇒676=100+576

⇒676=676

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A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. All angles are congruent, and the diagonals bisect each other and are congruent. It does not, however, have the property that all angles are equal.

A parallelogram is a four-sided shape with two pairs of parallel lines. The opposite sides of the parallelogram must be congruent, meaning that they have the same length. All angles are congruent, which means that they all have the same measure. The diagonals of the parallelogram bisect each other, meaning that they divide each other into two equal parts, and they must also be congruent. All of these properties are true for a parallelogram, except that the angles do not have to be equal. The angles can be either acute, obtuse, or right angles, but they must all have the same measure. So, in conclusion, the property that is not true for a parallelogram is that all angles are equal.

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Scientists are developing a computer model to predict the change in average global temperatures over the next 100 years. The model accounts for a wide variety of variables that could affect temperature during this time.

These variables include:

In summary, the variables are ranked in order of their likely impact on temperature predictions, with carbon dioxide emissions from the human activity being the most significant variable, followed by carbon dioxide emissions from activities in nature, global sea level, global rates of photosynthesis, and acidity of ocean water.

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when the input r, is 4, then the output g, is 13.

The function g = 25 - 3r gives the output g when the input r is given.

If we substitute r = 4 into the equation, we get:
g = 25 - 3×4
g = 25 - 12
g = 13

Therefore, when the input, r is 4, the output g, is 13.


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Answer: 8.075: gotta get somebody else to do this one...sorry. and 0.08 = 8

Step-by-step explanation:

Did this with a classmate couple months ago. Hope this helps. :)

Answer: 12

Step-by-step explanation:

The smaller triangles on the right can be proven congruent, so the other side also equals 6. 6+6=12

Bag A as required by the task content has 31.25 percent fewer marbles than Bag B.

It follows from the task content that the percent fewer marbles which Bag A has relative to Bag B is to be determined.

As given in the task content; Bag A contains 110 marbles, while Bag B contains 160 marbles.

On this note, the difference between the number of marbles is; 160 - 110 = 50 marbles.

Hence, the percent of fewer marbles in Bag A relative to Bag B is;

= ( 50 / 160 ) × 100%

= 31.25%.

Therefore, Bag A has 31.25% fewer marbles than Bag B.

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The value of 5 divided by 2 is 2.5.

Therefore the answer is 2.5.

When dividing 5 by 2, we are trying to find out how many times 2 can fit into 5. The answer is 2 with a remainder of 1, this is why it can also be written as 2 and 1/2.

When dividing 5 by 2, we can also write the result as a fraction, in this case, it is 2 and 1/2 or 2.5 in decimal form. It is the exact same thing as 2.5, just represented in a different way.

It's important to note that, in general, dividing integers will give a decimal number. If you want the result to be a fraction, you will have to express it as such.

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The total surface area of the cuboid is 2 (lh + lw+ hw) square units.

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6b - 0.78b it will result after expanding the expression.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

Let, b represent the original price of a loaf of bread.

Given that,

A grocery store has 13%-off sale on all bread.

This means that the amount by which the price of bread was reduced would be

13/100 × b = 0.13 × b = 0.13b

The new price for the loaf of bread would be: b - 0.13b

you decide to purchase 6 loaves of bread. The expression would be:

6(b - 0.13b)

Expanding the expression, it becomes: 6b - 0.78b

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On solving the provided question, we got to know that -  to plot the graph, required equation is 3x +y -8 = 0

a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples -  2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value. To plot the graph,we need to find the equation first.

and to find the equation -

(y - y1) = m( x - x1)

y1 = -4

x1 = -2

y = 3

x = -5)

equation  -

(-3)(x-1) = y-5

-3x + 3 = y-5

3x - 3 = 5-y

3x +y -8 = 0

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