The $25.00 shirt costs the store $20.00. Find the markup rate.

Answer:

\( 266.14 \: {cm}^{2} \)

Step-by-step explanation:

In case of rectangle:

Length l = 30 cm

Width w = 14 cm

Since, circle touches the edges (lengths) of the rectangle.

Therefore,

Diameter of circle = 14 cm

So, radius r = 14/2 = 7 cm

Area of the shaded region = Area of rectangle - Area of circle

\( = lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2} \)

The domain of the function is all real numbers because there are no restrictions on the values of x. Therefore, the overall range of the function is {1} ∪ [3, ∞).

In mathematics, a function is a rule that assigns a unique output value to each input value. A function is typically denoted by a symbol, such as f(x), where f is the name of the function and x is the input variable. The output value of the function is denoted by f(x), which means "the value of the function f at x". A function takes input values from a set called the domain, and produces output values from a set called the range. The domain and range can be any set of numbers, such as the real numbers, integers, or even complex numbers.

Here,

The given function is:

f(x) =

1, x+2, x < -2

2, x²+2x+3, x > -2

To create a table of values, we can choose some values of x and plug them into the function to find the corresponding values of f(x):

x f(x)

-3 -1

-2 -2

-1 4

0 3

1 6

The domain of the function is all real numbers because there are no restrictions on the values of x.

The range of the function depends on the two cases:

For x < -2, the value of f(x) is always 1, so the range of f(x) in this case is {1}.

For x > -2, the value of f(x) is always greater than or equal to 3, so the range of f(x) in this case is [3, ∞).

To graph the function, we can plot the points from the table of values and connect them with lines:

          |

    20 ___|_____

       |   |     \

    15 |          \

       |           \

    10 |            \

       |             \

     5 |              \

       |               \

     0 |----------------\_____________

       -4 -3 -2 -1  0  1  2  3

The graph consists of two parts: a horizontal line at y = 1 for x < -2, and a parabolic curve opening upwards for x > -2. The graph is continuous at x = -2, since both the constant and quadratic functions agree at this point.

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\(slope = \frac{ - 2 - 5}{0 - ( - 4)} \\ \)

\(slope = \frac{ - 7}{4} \\ \)

\(slope = - \frac{7}{4} \\ \)

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Answer:

-7/4

Step-by-step explanation:

-2-5/0-(-4)

-2-5/0+4

-7/4

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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Answer:

Step-by-step explanation:

It is 76 degrees F at the 6000-foot level of a mountain, and 49 degrees

F at the 12000-foot level of a mountain.

Write a linear equation to find the temperature T at an elevation e on the

mountain, where e is in thousands of feet.:

:

Find the slope using the slope formula: m = %28y2-y1%29%2F%28x2-x1%29

Assign the given values as follows

x1 = 6 (for 6000 ft); y1 = 76

x2 = 12(for 12000ft); y2 = 49

:

m = %2849-76%29%2F%2812-6%29 = %28-27%29%2F6 = -9%2F2

;

Use the point slope equation y - y1 = m(x - x1) so create the equation

y - 76 = -9%2F2(x - 6)

y - 76 = -9%2F2x - (-27)

y - 76 = -9%2F2x + 27 + 76

y = -9%2F2x + 103; is the equation

Using e and T

T = -9%2F2e + 103

:

where elevation is the horizontal and Temp is the vertical

;

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Answer:

38minutes approx

Step-by-step explanation:

Given data

Charges per minute=  $1.45

Monthly charge= $45

Let the number of minutes be x

and let the total charges for the month be y

The function for the total charge is

y= 1.45x+45

for y= 100, we want to find x

100= 1.45x+45

100-45= 1.45x

55= 1.45x

Divide both sides by 1.45 to get x

x= 55/1.45

x= 37.93

Hence the number of minutes is 38minutes approx

Answer:

150

Step-by-step explanation:

Answer:

A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. The solutions to quadratic inequality always give the two roots. The nature of the roots may differ and can be determined by discriminant (b2 – 4ac).

The true statement about the sampling distribution is "the sampling distribution of a statistic is a distribution that we should approximate in exercise by taking many small samples."

The sampling distribution is the theoretical distribution of a statistic (including the imply, median, or variance) based totally on all viable samples of a given size that could be taken from a population. it is a beneficial idea in statistics as it allows us to make inferences approximately the populace based on records gathered from a pattern.

In practice, we can not examine the whole sampling distribution, as it's far based totally on all viable samples, which isn't always feasible to gain. but, we will approximate the sampling distribution by taking many small samples from the population and calculating the applicable statistic for every sample.

Because the variety of samples increases, the distribution of these data will converge to the sampling distribution, allowing us to make more accurate inferences approximately the population.

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Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

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Answer:

Step-by-step explanation:

Answer: 34 + 2 = 36

Step-by-step explanation:

36 - 2 = 34

Add 2 to this:

36 - 2 + 2 = 34 + 2

36 = 34 + 2

Answer:

x = - 5

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 18 when x = 3 , then

- 18 = 3k ( divide both sides by 3 )

- 6 = k

y = -6x ← equation of variation

When y = 30 , then

30 = - 6x ( divide both sides by - 6 )

- 5 = x

Answer:

\(y \: varies \: directly \: as \: x \: mean \\ \: y \: increase \: or \: decrease \: with \: x \\ y = - 18 \: \: \: \: x = 3 \\ y = 30 \: \: \: x = ? \\ - 18 ? = 90 \\ ? = - 5 = x\)

The expected Net gain is -0.1001.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total possible selection = 10000

                  Net Gain             Probability

Win                8998                   1/ 10000

Lose                 2                     9999/10000

So, E(x) = 8998 x 1/10000 - 9999/10000

             = -1001 / 10000

so, the expected Net gain = -0.1001

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Trevor and Kim will be situated 21 kilometers apart from each other at 1:30 PM. They will be separated by a distance of 21 km when the clock strikes 1:30 in the afternoon.

To determine at what time Trevor and Kim will be 21 km apart, we can set up a distance-time equation based on their relative speeds and distances.

Let's assume that t represents the time elapsed in hours since noon. At time t, Trevor would have traveled a distance of 8t km, while Kim would have traveled a distance of 6t km in the opposite direction.

Since they are running in opposite directions, the total distance between them is the sum of the distances they have traveled:

Total distance = 8t + 6t

We want to find the time when this total distance equals 21 km:

8t + 6t = 21

Combining like terms, we have:

14t = 21

To solve for t, we divide both sides of the equation by 14:

t = 21 / 14

Simplifying, we find:

t = 3 / 2

So, they will be 21 km apart after 3/2 hours, which is equivalent to 1 hour and 30 minutes.

Therefore, Trevor and Kim will be 21 km apart at 1:30 PM.

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Let's assume that Gabriella traveled $x$ hours at 30 mph and $y$ hours at 10 mph. We know that the total trip took 8 hours, so we can write an equation based on the time:

$$x+y=8$$

We also know that the distance traveled going to the restaurant is the same as the distance traveled coming back home. Let's call this distance $d$. We can use the formula $d=rt$ to express this relationship:

$$30x=10y$$

Now we have two equations with two unknowns:

$$\begin{aligned} x+y&=8 \ 30x&=10y \end{aligned}$$

We can solve for $x$ and $y$ by using substitution. Solving the second equation for $y$, we get:

$$y=3x$$

Substituting this expression for $y$ in the first equation, we get:

$$\begin{aligned} x+3x&=8 \ 4x&=8 \ x&=2 \end{aligned}$$

Therefore, Gabriella traveled 2 hours at 30 mph and 6 hours at 10 mph.

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The value of KL in the right triangle JKL is determined as 5.34.

To find the value of side length KL, we need to determine the value of opposite side of triangle JML.

Apply trigonometry identity as follows;

tan (51) = JL/JM

tan (51) = JL/14

JL = 14 x tan(51)

JL = 17.29

The value of KL is determined by considering right triangle JKL.

cos (72) = KL / JL

cos (72) = KL/17.29

KL = 17.29 x cos (72)

KL = 5.34

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1) It will take 40 minutes to fill the same tank with 2 pumps

2) the product of the means equals the product of the extremes".

3) Tes is 56 years old, given that the ratio of their ages is 3:7

4) 10 the value of N in the expression

5) 150 is the bigger number if the sum of the numbers is 240, and the ratio is 3:5

1) time × speed = time × speed

= 16 × 5 = x × 2

= \(\frac{16*5}{2}\) = x

x = 80\2

x = 40 minutes

2) product

ab=cd. the product of the means equals the product of the extremes. That is, ad=bc. We can get an equivalent result using a technique called cross multiplication.

3) let the age of ed be x, then age of tes is 80 - x

\(\frac{x}{80-x}\) = \(\frac{3}{7}\)

7x = 3(80-x)

7x =  240 - 3x

7x + 3x = 240

10x = 240

x = 24

Ed's age is 24 therefore Tes age is 80 - x

80 - 24 = 56

therefore tes age is 56

4) 2\7 = N\35

2 × 35\ 7 = N

70\7 = N

N = 10

5) Let the multiple of the ratio be x

3x + 5x = 240

8x = 240

x = 30

we need to find the bigger number therefore,

5x = 5 × 30 = 150

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The probability of selecting exactly three clubs from a standard deck is 0.088. Where n = 5; p = 0.25; q = 0.75; and x = 3 . It is calculated by using binomial probability.

The binomial probability formula is

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾ = \(\frac{n!}{(n-x)!x!} p^xq^{(n-x)}\)

Where n is the number of trials, p i is the probability of success, and q is the probability of failure.

And q = 1 - p

It is given that, a card is selected from a standard deck and replaced.

This experiment has repeated a total of five times. i.e., trials n = 5

So, the probability of success is p = 1/4 = 0.25

(Since one card is to be selected from the five trials where each time the card is replaced)

Then, the probability of failure is q = 1 - 0.25 = 0.75

And it is given that we need to find the probability of selecting exactly three clubs. So, the required random variable is x = 3.

Then, using the binomial probability formula, we get

P(X = x) = ⁿCₓ pˣ q⁽ⁿ⁻ˣ⁾

⇒ P(X = 3) = ⁵C₃ p³q⁽⁵⁻³⁾ = ⁵C₃(0.25)³(0.75)² = 0.0878

On rounding off, we get the required probability as 0.088.

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The dimensions of the region bounded by the curve, y² = x, the lines,  x = 1 and x = 4, and the x-axis exists the dimensions ABCD

Thus area of ABCD = \(\int_1^4 \mathrm{ydx} \\\)

\(& =\int_1^4 \sqrt{\mathrm{x}} \mathrm{dx} \\\)

\($& =\left[\frac{\mathrm{x}^{\frac{3}{2}}}{\frac{3}{2}}\right]_1^4 \\\)

\($& =\frac{2}{3}\left[(4)^{\frac{3}{2}}-(1)^{\frac{3}{2}}\right]\)

simplifying,

\($& =\frac{2}{3}[8-1] \\\)

Then we get,

\($& =\frac{14}{3} \text { units }\)

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Answer:

A

Step-by-step explanation:

given the x- intercepts x = a and x = b then the corresponding factors are

(x - a) and (x - b)

the equation of the quadratic is then the product of the factors , that is

y = a(x - a)(x - b) ← a is a multiplier

here the x- intercepts are x = 4 and x = 8 , then factors are

(x - 4) and (x - 8 ) , so

y = a(x - 4)(x - 8)

to find a substitute any other point on the graph into the equation

given vertex = (6, - 4 ) , then

- 4 = a(6 - 4)(6 - 8)

- 4 = a(2)(- 2) = - 4a ( divide both sides by - 4 )

1 = a , then

y = (x - 4)(x - 8) ← expand using FOIL

y = x² - 12x + 32

Research has shown that when administering a survey, respondents who are asked questions in which they have little or no knowledge are likely to respond with inaccurate or incomplete information.

This can happen due to several reasons, such as the respondents feeling embarrassed or ashamed of admitting their lack of knowledge, or simply guessing the answer to avoid appearing uninformed. Graeff's (2003) study highlights the importance of carefully designing survey questions to ensure that they are clear and easy to understand for all respondents, regardless of their level of knowledge on the topic. It is also important to provide respondents with options such as "I don't know" or "Not applicable" to encourage honest and accurate responses. Administering surveys can be a valuable tool for gathering information, but it is crucial to consider the limitations and potential biases that may arise. Conducting thorough research and using appropriate survey methods can help to ensure that the data collected is reliable and useful for making informed decisions.

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Answer:

{2, -3, -3/2}

Step-by-step explanation:

hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.

x-2=0

x=2

x+3=0

x=-3

2x+3=0

2x=-3

x=-3/2

The set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

They are mathematical expressions involving variables raised with nonnegative integers and coefficients(constants that are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and nonnegative exponentiation of variables involved.

We have been given the function f(x)=(x-2)(x+3)(2x+3)

Each of the binomials is equal to 0 to determine the zeros of this polynomial.

1. x-2=0

x=2

2. x+3=0

x=-3

3. 2x+3=0

2x=-3

x=-3/2

Hence, the set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

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The equilibrium level of income (Y), interest rate (i), consumption (C), investments (I), and budget surplus can be calculated using the given equations and information. When G increases by 100, the new values for investments and budget surplus can be determined. The crowding out effect resulting from the increase in G can also be evaluated. Additionally, if the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r, as well as the crowding out effect, can be determined and explained.

To calculate the equilibrium level of income (Y), we set the total income (Y) equal to total expenditures (C + I + G), solve the equation, and find the value of Y that satisfies it. Similarly, the equilibrium interest rate (i) can be determined by equating the demand for money (L) with the money supply (M/P). Consumption (C), investments (I), and budget surplus can be calculated using the respective equations provided.

When G increases by 100, we can recalculate the new values for investments and budget surplus by substituting the updated value of G into the equation. The crowding out effect can be assessed by comparing the initial and new values of investments.

If the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r can be calculated by simultaneously solving the equations for total income (Y) and the interest rate (i). The crowding out effect in this case refers to the reduction in investments resulting from the increase in government spending (G) and its impact on the interest rate (r), which influences private sector investment decisions.

Overall, by analyzing the given equations and their relationships, we can determine the equilibrium levels of various economic variables, evaluate the effects of changes in government spending, and understand the concept of crowding out.

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The experimental probability that Jim will score 18 or more points in the next game is 3/7, expressed as a fraction in simplest form.

To find the experimental probability that Jim will score 18 or more points in the next game, we need to analyze the data provided.

Looking at the given data, we see that Jim has scored 18 or more points in 3 out of the 7 games played.

Therefore, the experimental probability can be calculated as:

Experimental Probability = Number of favorable outcomes / Total number of outcomes

In this case, the number of favorable outcomes is 3 (the number of games in which Jim scored 18 or more points), and the total number of outcomes is 7 (the total number of games played).

P

So, the experimental probability is:

Experimental Probability = 3/7

Therefore, the experimental probability that Jim will score 18 or more points in the next game is 3/7, expressed as a fraction in simplest form.

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Answer:

Function G: +2

Function H: +3

Function H has a greater value when x = 10

Step-by-step explanation:

Kiki rode on the bus 700 kilometers further than she walked.

To calculate the difference between the distance Kiki rode on the bus and walked, we subtract the distance she walked from the distance she rode on the bus.

Distance on the bus: 910 kilometers

Distance walked: 210 kilometers

Difference = Distance on the bus - Distance walked

Difference = 910 kilometers - 210 kilometers

Difference = 700 kilometers

Therefore, Kiki rode on the bus 700 kilometers further than she walked.

Kiki rode on the bus 700 kilometers further than she walked.

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Answer:

50%

Step-by-step explanation:

rolling a six-sided die would have about 12 different outcomes

there are three numbers located on the die that are greater than 6, which are 4, 5, and 6

3/6 = 1/2 = 50%

since you are rolling the die twice, the total outcome will be calculated like this:

6/12 = 1/2 = 50%

so the probability will still be 50%