Suppose the cost of producing tires, t, is defined by C(t) = -0.45+2 + 12+ 450. Determine
which of the following intervals has the greatest average rate of change for the cost to
produce tires.
A
Between 2 and 4 tires
B
Between 46 and 48 tires
C
Between 12 and 14 tires
D
Between 22 and 24 tires

Answer: Assuming that it matters which one is president and which is vice president, and the same person cannot be assigned both posts, the answer is 30*29, or 870.

Step-by-step explanation:

The distance between the two metropolises on the chart is 9 elevation.

What's distance?

Distance refers to the quantum of space between two points or objects. It's a physical volume that can be measured and is generally expressed in units similar as measures, kilometers, long hauls, or bases.

According to question-

In this case, the scale of the chart is3/4 inch = 80 long hauls.

So, for every3/4 inch on the chart, the factual distance in real life is 80 long hauls.

To find the distance between metropolises on the chart, we need to convert the factual distance into a distance on the chart using the scale.

Let's suppose the factual distance between two metropolises is 240 long hauls. also, to find the distance between those metropolises on the chart, we can set up a proportion

/ 4 inch 80 long hauls = x elevation 240 long hauls

We cancross -multiply to break for x

inch * 240 long hauls = 80 long hauls * x elevation

720 = 80x

x = 9 elevation

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Answer:

a. 3/5

b. 270 girls

c 450 students.

3 450 13350

_ x ___ = ______ = 270 =270 girls

5 1 5

Answer: b

Step-by-step explanation:

The term used to describe the process of assigning values to responses in a research instrument and grouping them is called: coding.

In data analysis, before raw data can be processed, the researcher groups and assigns values to each response in the research instrument for easy collation and analysis.

This is referred to as coding, in research analysis.

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Answer:

121

Step-by-step explanation:

If GH=11, then you multiply 11 times 11 to get 121. YUR WELCOME

Answer:

U did not add a picture but if u do I will help.

Step-by-step explanation:

It should be 8 to the right and 12 to the left which should end at -4

Answer:

The answer is 4?? tell me if it's wrong or not.

Answer:

297.5 in

Step-by-step explanation:

Area of triangle = Base times Height divided by 2.

Base=35

Height=17

So, 35 x 17 = 595

595/2=297.5

Answer:

im not sure i understand but i think you mean put them in order? if i get this wrong then i can answer it down in the comments under this answer

12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 4

please let me know if i got it wrong so i can try to answer it correctly. try adding a picture of the question cus i dont understand

Answer:

(-8,-1)

Step-by-step explanation:

Answer:

a = -14

Step-by-step explanation:

We are given

\(\frac{2a+38}{5} = 2\\\)

We want to get the variable by itself. First, we can multiply both sides by 5 to get rid of the fraction

\(\frac{(2a+38)(5)}{5} = (2)(5)\\2a + 38 = 10\)

Now we can isolate the variable by subtracting 38 from both sides

\(2a + 38 - 38 = 10 - 38\\2a = -28\\a = \frac{-28}{2}\\a = -14\)

A Figure ABCD is a rhombus. The angles of A and C are equal by alterenate interior angle. The value of x in the figure ABCD rhombus is 9 degree.

We know that rhombuses are a particular type of quadrilateral in Euclidean geometry. It is a unique instance of a parallelogram in which the diagonals meet at a 90-degree angle and all sides are equal.

The Solution to an equation is finding values of the variable in the considered equation for which the equation considered evaluates to be true.

For a solution, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, thus solution to a system is the intersection of all its equation at single point

WE know that the diagonals of a rhombus bisect each other, we know that triangle DEC is a right triangle.

Since the side lengths of a rhombus are equal, so the angles of A and C are equal by alterenate interior angle.

Now, 5x-8 = 3x + 10

i.e. 5x - 3x = 10 + 8

i.e. 2x = 18

i.e. x = 9

Therefore the value of x in the figure ABCD is 9 degree.

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0.3673 is the value of the variable n.

The given expression is \(\frac{m(nx^2-y)}{z}=5n\)

First, let's plug the given values into the equation:

\(\frac{6(n2^2-(-3))}{-5}=5n\)

Simplifying:

\(\frac{6(n4+3)}{-5}=5n\\6(4n+3)=-25n\\24n+25n=18\\n=18/49\)

n = 0.3673

Therefore, n is approximately equal to 0.3673.

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The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

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Answer:

40%

Step-by-step explanation:

10 minutes late would mean 18 minutes late on the graph. The graph goes from 10-30 which creates a difference of 20. 8 divided by 20 equals 40 percent.

40 percent of the time does Oliver arrives within 10 minutes of John's arrival time.

Given that,

Oliver is typically 10–30 minutes late for his shift at work.

The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.

John and Oliver are working a shift that starts at the same time. John always arrives 8 minutes late.

We have to determine,

What percentage of the time does Oliver arrive within 10 minutes of John's arrival time?

According to the question,

Oliver is typically 10–30 minutes late for his shift at work.

John and Oliver are working a shift that starts at the same time.

John always arrives 8 minutes late.

From the complete information, the probability distribution will be:

\(= \dfrac{1}{b-a}\\\\= \dfrac{1}{30-10}\\\\= \dfrac{1}{20}\)

Here, John always arrives 8 minutes late.

Therefore,

The percentage of the time that Oliver arrives within 10 minutes of John's arrival time is,

\(\rm = 8 \times \dfrac{1}{20}\\\\= \dfrac{2}{5}\\\\= 0.4 \times 100 \\\\= 40 \ Percent\)

Hence, 40 percent of the time does Oliver arrives within 10 minutes of John's arrival time.

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Answer:153

Step-by-step explanation:

Answer: -2/11

Step-by-step explanation:

Answer:

40 miles per hour

Step-by-step explanation:

Answer:

average speed

=(Total distance/Total time)

=(480miles/12hours)

=40mile/hour

Step-by-step explanation:

Answer: she should use 5/8 cups i think

Step-by-step explanation:

Answer:

sin2x = 16/65

cos2x = -63/65

tan2x = -16/63

Explanation:

the tangent of an angle is equal to the opposite side over the adjacent side. So, if the tan(x) = 8, we can represent this as the following diagram:

Therefore, we can calculate the value of the hypotenuse as:

With the hypotenuse, we can calculate sin(x) and cos(x) as follows:

We type the negative sign because the question says that sin(x) is negative.

Now, we will use the following trigonometric identities to find sin(2x), cos(2x) and tan(2x)

Therefore, replacing the values, we get:

So, the answers are:

sin2x = 16/65

cos2x = -63/65

tan2x = -16/63

The store owner's profit is 25% of the selling price of grapes, which corresponds to option B.

The store owner buys the grapes for 80 cents and sells it for 100 cents, so the profit is 100-80 = 20 cents.

The percentage of the profit is (profit/cost) x 100%. In this case, the profit is 20 cents and the cost is 80 cents, so the percentage of profit is (20/80) x 100% = 25%.

Therefore, the store owner's profit is 25% of the selling price of grapes, which corresponds to option B.

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Answer:

-2347

Step-by-step explanation:

Answer:

The solution to the recurrence relation is given by an = 2^(n+1) - 1.

Step-by-step explanation:

(a) To solve the recurrence relation an = an-2 + 4, with initial conditions a1 = 3 and a2 = 5, we'll consider two cases: one for when n is even and one for when n is odd.

For n even:

Substituting n = 2k (where k is a positive integer) into the recurrence relation, we get:

a2k = a2k-2 + 4

Now let's write out a few terms to observe the pattern:

a2 = a0 + 4

a4 = a2 + 4

a6 = a4 + 4

...

We notice that a2k = a0 + 4k for even values of k.

Using the initial condition a2 = 5, we can find a0:

a2 = a0 + 4(1)

5 = a0 + 4

a0 = 1

Therefore, for even values of n, the solution is given by an = 1 + 4k.

For n odd:

Substituting n = 2k + 1 (where k is a non-negative integer) into the recurrence relation, we get:

a2k+1 = a2k-1 + 4

Again, let's write out a few terms to observe the pattern:

a3 = a1 + 4

a5 = a3 + 4

a7 = a5 + 4

...

We see that a2k+1 = a1 + 4k for odd values of k.

Using the initial condition a1 = 3, we find:

a3 = a1 + 4(1)

a3 = 3 + 4

a3 = 7

Therefore, for odd values of n, the solution is given by an = 3 + 4k.

(b) To solve the recurrence relation an = 2an-1 + 1, with initial condition a1 = 1, we'll find a general expression for an.

Let's write out a few terms to observe the pattern:

a2 = 2a1 + 1

a3 = 2a2 + 1

a4 = 2a3 + 1

...

We can see that each term is one more than twice the previous term.

By substituting repeatedly, we can express an in terms of a1:

an = 2(2(2(...2(a1) + 1)...)) + 1

= 2^n * a1 + (2^n - 1)

Using the initial condition a1 = 1, we have:

an = 2^n * 1 + (2^n - 1)

= 2^n + 2^n - 1

= 2 * 2^n - 1

Therefore, the solution to the recurrence relation is given by an = 2^(n+1) - 1.

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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The p and t represent Principal and time and interest is 517.7

We are given the formula to find the interest. So, the formula is -

I = (PRT) ÷ 100

In this formula, I refers to interest, P refers to Principal, R refers to rate of interest and T refers to time. Time will be in years and division by 100 is done for rate of interest.

Keep the values in formula to calculate the interest -

As per the known fact, 12 months = 1 year

So, 20 months = (1 ÷ 12) × 20

20 months = 1.67 years

Interest = (2500 × 12.4 × 1.67) ÷ 100

Performing multiplication in numerator

Interest = 51,770 ÷ 100

Performing division to find the interest

Interest = 517.7

Hence, p refers to principal and t refers to time. The interest that Gordon will receive will be 517.7.

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Since the proposed side length of the square is between 6 and 7, we can assume that it is 6.5 hence, the lengths will be d = 6.5 and c = 9.19.

Here is what we were given:

Side length of square = 6 > x <7

A convenient assumption for this is 6.5

We also know that d and c and the base of two right triangles. where their hypotheses' are equal to the side lenght of the square = 6.5

we also know that the in between the line formed by D and C is a 90 degree angle.

Hence the sum of the other angle will be 45 degrees each.

This is  based on sum of angles in a triangle.

Hence,

c = b /sin(β)

= 6.5/sin (45)

= 6.5/0.70710678118

 c = 9.19

d = √c² - b²

 = √(9.19238815542512² - 6.52²)

= √42.25

d = 6.5

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The Laplace transform table contains properties and formulas for common transforms, as well as the inverse Laplace transform and the shift theorem. It also includes properties such as linearity, scaling, and time shifting.

The Laplace transform table is an important tool for solving linear differential equations. It contains information about common transformations and their associated formulas, as well as the inverse Laplace transform and the shift theorem. The table also includes properties such as linearity, scaling, and time shifting. Linearity states that if a function f(t) is a linear combination of two functions f1(t) and f2(t), then its Laplace transform F(s) is the sum of the Laplace transforms of f1(t) and f2(t). Scaling states that if a function f(t) is multiplied by constant k, then its Laplace transform F(s) is divided by k. Time shifting states that if a function f(t) is shifted by x units in time, then its Laplace transform F(s) is multiplied by \(e^(-sx)\). These properties can be used to simplify Laplace transforms and to solve linear differential equations. The Laplace transform table is a useful tool for engineers and physicists who use linear differential equations in their work.

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Using simple Algebra operation,

Total 17 cards are remianed on table which have the red side up when barsby is finished.

We have the following information about questions:

so, we conclude that,

total number of possible outcomes= 100

In first turn, Sarai , flips up all cards which is divisible by 2

then, the faouable cases that flip card which have a number is divisible by 2 = 50 i.e ={ 2,4,6,8,----,100}

thus, 50 cards are came in position that yellow colour top up .

In second time, she flips the card such that card has a number divisible by 3

favoulbe cases in this case = 33

so, these 33 cards are also came in position that yellow colour top up.

Now, the numbers of cards in which yellow colour side is top up = 33+50 = 83

we have to calculate the number of cards with red colour side top up.

so, the number of cards with red colour side top up = total cards - yellow colour side top up cards

= 100 - 83 = 17

Hence, after the fliping process, total 17 cards are remianed on table with red colour side at top.

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Answer:

12.36

Step-by-step explanation:

price x sales tax rate =sales tax

9.80 x .06=sales tax

.59=sales tax

price + sales tax=price with sales tax included

9.80+.59=10.39

price with sales tax x tip percentage=tip amount

10.39 x .19=1.97

price with sales tax + tip = total amount

10.39+1.97=12.36