A square has an area of 146.41m2 work out the premeter of the square

The Markup percentage based on cost if the wholesaler paid $780 for the guitar is 79%

Given,

The cost price of the guitar = $780

The selling price of the guitar = $1396.20

We have to find the markup percent based on the cost;

Markup percentage;

The gross profit of a unit, which is its sales price less its cost to produce or acquire for resale, is divided by the unit's cost to determine the markup %.

Markup percent = (Selling price - cost price) / cost price x 100

= (1396.20 - 780) / 780 x 100

= 616.20 / 780 x 100

= 0.79 x 100

= 79%

That is,

The Markup percentage based on cost if the wholesaler paid $780 for the guitar is 79%

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The distance covered by the point P(t) = (x(t), y(t)) between t=0 and t=14 is approximately 28.84 units.

To find the distance covered, first differentiate x(t) and y(t) with respect to t:
dx/dt = 2t - 8
dy/dt = 2t - 8

Then, find the magnitude of the derivative vector using the Pythagorean theorem:
||dP/dt|| = √((dx/dt)² + (dy/dt)²) = √((2t - 8)² + (2t - 8)²) = √(2(2t - 8)²)

Next, integrate the magnitude from t=0 to t=14:
∫(√(2(2t - 8)²)) dt from 0 to 14

Using substitution, let u = 2t - 8, so du = 2dt. The new integral becomes:
1/2 ∫(√(2u²)) du from -8 to 20

Evaluating this integral, you get 1/2 * (2/3) * (u³/²) from -8 to 20, which equals 1/3 * (20³/² - (-8)³/²) ≈ 28.84 units.

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Answer:

Yes, because, even though all angles match, one is larger than the other. So just having the same angles is no guarantee they are congruent.

Step-by-step explanation:

Answer:

Same Angles

because, even though all angles match, one is larger than the other. So just having the same angles is no guarantee they are congruent.

Step-by-step explanation:

Hope this Helps!

B

Step-by-step explanation:

312.99 divided by 3 equals 104.33 nothing in his account changed except the 312.99

The sum of all solutions to the equation is: x = 2.96 or -2.96

In an algebraic expression, the sum of all solutions to the equation requires making the variable the subject of the formula to determine the value of the variable.

From the given parameters:

4x(x - 3) = 23

Open brackets

4x² - 12x = 23

4x² - 12 - 23 = 0

This is a quadratic equation and by solving using the quadratic formula, we have:

\(\mathbf{= (x + \dfrac{\sqrt{35}}{2}) \ or \ (x - \dfrac{\sqrt{35}}{2})}\)

\(\mathbf{ (x = - \dfrac{\sqrt{35}}{2}) \ or \ (x = + \dfrac{\sqrt{35}}{2})}\)

x = 2.96 or -2.96

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Answer:

p(t) = 200(2)^t

Step-by-step explanation:

an exponential function is in the form a(b)^x.

a is the initial value. the initial value is 200 in the problem, so a = 200.

b is the growth/decay rate. because it doubles, b = 2.

therefore, the function is p(t) = 200(2)^t

To find the critical numbers of the function f(x) and the absolute extreme values of f(x) = 5x on the interval [-27, 8], we need to identify the critical numbers and evaluate the function at the endpoints and critical points.

To find the critical numbers of the function f(x), we look for values of x where the derivative of f(x) is equal to zero or does not exist. However, you have provided different options for each choice, so it is not clear which option corresponds to which function. Please clarify which option corresponds to f(x) so that I can provide the correct answer.

To find the absolute extreme values of f(x) = 5x on the interval [-27, 8], we evaluate the function at the endpoints and critical points within the interval. In this case, the interval is given as [-27, 8].

First, we evaluate the function at the endpoints:

f(-27) = 5(-27) = -135

f(8) = 5(8) = 40

Next, we need to identify the critical points within the interval. Since f(x) = 5x is a linear function, it does not have any critical points other than the endpoints.

Comparing the function values at the endpoints and the critical points, we see that f(-27) = -135 is the minimum value, and f(8) = 40 is the maximum value on the interval [-27, 8].

Therefore, the absolute minimum value of f(x) = 5x on the interval [-27, 8] is -135, and the absolute maximum value is 40.

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The required 99% confidence interval representing the true proportion of all college students owns a car lies between the range of 0.3253 and 0.4283.

Sample size n = 319

Students who own a car represents the number of successes x = 120  

Confidence interval =  99%

True proportion p of all college students who own a car.

The formula for the confidence interval for a population proportion is,

p1± zα/2 × √(p1(1-p1)/n)

where p1 is the sample proportion,

zα/2 is the z-score corresponding to the desired level of confidence interval 99%.

First, we find the sample proportion,

p1 = x/n

    = 120/319

    ≈ 0.3768

z-score corresponding to a 99% confidence level.

This is a two-tailed test,

Split the alpha level evenly between the two tails.

α/2 = (1 - 0.99) / 2

     = 0.005,

The z-score that encloses 0.005 in each tail of the standard normal distribution.

Using a standard normal table ,

zα/2 = 2.576.

Substituting the values into the formula, we get,

p1 ± zα/2 × √(p1(1-p1)/n)

= 0.3768 ± 2.576×√(0.3768(1-0.3768)/319)

= 0.3768 ± 0.0515

99% confidence interval for the true proportion p of all college students who own a car is,

0.3253 ≤ p ≤ 0.4283

Therefore, 99% confidence interval that the true proportion of all college students who own a car lies between 0.3253 and 0.4283.

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The direct variation equation in the form x and y is y = 7.25x

As per the given data, the cost of renting a scooter y varies directly with the number of hours the scooter is rented x.

Suppose it costs $21.75 to rent the scooter for 3 hours.

Here we have to determine a direct variation equation in the form of y.

The renting cost (y) is directly proportional to the hours (x).

y ∝ x

y = kx.....(1)

Here k is known for the proportionality constant

From the given information we can find the value of k.

21.75 = k (3)

k = \($\frac{21.75}{3}\)

k = 7.25

Now we have to substitute the value of k in the equation (1)

We get:

y = 7.25x

Therefore a direct variation equation is y = 7.25x.

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Answer:

4n

Step-by-step explanation:

n + n + n + n = 4n

Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

Answer: 55.8 feet

Step-by-step explanation:

The distance traveled by the ladybug in time

t is s = rt. Here, r = 2π/3 is

the angular velocity of the fan and t is the time the ladybug has traveled since starting from the 3 o’clock position. Therefore, θ = rt. From part (c), the height of the ladybug above the ground is given by d = 2 – 5 cosθ. Differentiating with respect to time, we get:
v = dθ/dt = 5r sinθ
Here, θ = rt. Therefore,

v = 5r sin(rt).

The figure is given below:Here, the center of the fan is O. The ladybug is represented by L. The radius of the fan is OL. θ is the angle the ladybug has rotated counterclockwise since starting to rotate from the 3 o'clock position. d is the height of the ladybug above the ground. From 3 o’clock to 1 o’clock, the ladybug has traversed one-sixth of the circumference of the fan. This is because 2 hours are there between 3 o’clock and 1 o’clock. The total time for one rotation of the fan is 12 hours or 2π. Therefore, the time for one-sixth of the rotation is π/9.From the figure, it is clear that

d

= h – r cosθ

where h is the height of the fan’s center above the ground and r is the radius of the fan. Here,

h

= 5 – 3 = 2 ft and r

= 5 ft.

Therefore,

d

= 2 – 5 cosθ.

The time for one rotation of the fan is

2π/3.

The number of rotations per second is

3/6

= 1/2.

Therefore, the fan’s speed is (1/2) revolutions/second and (π/3) radians/second.The distance traveled by the ladybug in time

t is s

= rt.

Here, r

= 2π/3

is the angular velocity of the fan and t is the time the ladybug has traveled since starting from the 3 o’clock position. Therefore, θ

= rt. From part (c), the height of the ladybug above the ground is given by

d

= 2 – 5 cosθ.

Differentiating with respect to time, we get:
v

= dθ/dt

= 5r sinθ
Here, θ

= rt. Therefore,

v

= 5r sin(rt).

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It will need 10 cupcakes for the 100 percent of order.

Percentage is defined as the parts of a number per fraction of 100.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given that,

6 cupcakes comprises 60 percent of my order.

Let x be the 100 percent of the order.

60% of x = 6

60% × x = 6

0.6x = 6

x = 6 / 0.6 = 10

Hence the total number of cupcakes of order is 10.

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Your question is incomplete. Probably the complete question is as follows.

I'm  gonna give 6 cupcakes to my friends that is 60 percent of my order how many more cupcakes do I need to get my order to 100 percent?

0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

The percentage of the variation in the dependent variable that can be predicted from the independent variable is known as the coefficient of determination, abbreviated R2 or r2, in statistics.

given that

A set of n = 25 pairs of scores (x and y values) has a pearson correlation of r = 0.80.

now we have to find the variance for the y scores.

here, r=0.80 then \( {r}^{2} = 0.64\)

which means 0.64 or 64% of the variance for the y scores is predicted by its relationship with x.

\(r = \sqrt{ {r}^{2}} \: or \: \sqrt{ {r}^{2}} \\ 0.80 = \sqrt{ {0.80}^{2} } \\ 0.80 = 0.80\)

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a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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The appropriate statistical test to use is the two-sample t-test. This test compares the means of two independent samples and determines if there is a significant difference between them.

In this scenario, the goal is to compare the mean amount of money spent on food for two groups: students who live on campus and students who live off campus. Since the two groups are independent of each other, the two-sample t-test is the appropriate choice.

The two-sample t-test compares the means of the two groups and calculates a t-statistic and a p-value. The t-statistic measures the difference between the means relative to the variability within each group, while the p-value indicates the probability of observing such a difference by chance alone.

By conducting a two-sample t-test on the collected data from the random samples of 40 students from each group, we can determine if there is evidence of a significant difference in the mean amount of money spent on food between the two groups. The null hypothesis assumes that there is no difference between the means, while the alternative hypothesis suggests that there is a significant difference. The p-value obtained from the test will determine if there is sufficient evidence to reject the null hypothesis and conclude that there is a difference in the mean amount spent on food between the two groups.

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Answer: 10

Step-by-step explanation:

hope this helps!

Answer 2  2/19

there is you answer

A number is a restriction on a rational expression if the number makes the denominator of the rational expression equal to zero.

Hence, option (b) is correct choice.

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

A rational expression's denominator is undefined when it equals zero, hence it cannot be employed in the expression.

For that particular value of the number, the limitation renders the value of the rational statement undefinable.

To put it another way, the number is a limitation since it cannot be used as the input for the rational expression because the output would be an undefined value.

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The missing option may be:

(a) 1

(b) 0

(c) always positive

(d) Indefinite

Answer: This straight line goes through (0,4) and (1,3)

Check out the graph below

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

Explanation:

We can plug in any x value we want. Let's say we use x = 0.

y = -x+4

y = -0+4

y = 0+4

y = 4

We see that x = 0 leads to y = 4. The point (0,4) is on the line. This is the y intercept.

Repeat this process for some other x value. I'll use x = 1.

y = -x+4

y = -1+4

y = 3

The point (1,3) is on the line as well.

We need at least 2 points to plot this line. You can do more if you wanted, but 2 is the bare minimum.

Plot (0,4) and (1,3). Then draw a straight line through them as the diagram indicates below. I used GeoGebra to make the graph.

The recursive formula that represents the value of account is a (n) = 1.0194 ;a (n-1); V (0) = 3.38.

Any term of a series can be defined by its preceding term in a recursive formula (s).

The general formula to find recursion is \(a_{n}= ra_{n-1}\) where r is the common ratio and n should ne grater than 2.

a (n) = 3.38. a (n-1);a (1) = 1.0194

a(n) = 3.38. a (n - 1);a (0) = 1.0194

a(n) = 1.0194. a (n-1);a (1) = 3.38

a (n) = 1.0194 .a (n-1); a (0) = 3.38

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The correct choice is (e) All of the above is a property for all LP problems.

All Linear Programming (LP) problems have a linear objective function that is to be maximized or minimized (property a), a set of linear constraints (property b), and decision variables (property c). Additionally, LP problems require variables that are all restricted to nonnegative values (property d). Therefore, all of the given properties are true for all LP problems, making option (e) the correct choice.

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Answer:wow

Step-by-step explanation:sad

Answer:

If each of the dimensions was enlarged by 3 units then the new length would be 5 and the new width would be 6. To find the area of the triangle we use the formula: A = L x W ÷ 2.


6 x 5 = 30ft2
30 ÷ 2 = 15ft2


Therefore the new area of the triangle would be 15ft2.

Step-by-step explanation:

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8y7−24y−19 This is what it is in standard form

Answer:

(-4,2)

Step-by-step explanation:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The point is located 4 units to the left of the origin and 2 units below the

x-axis.

4 units to the left of the origin.

This means,

x = -4

2 units below the x-axis.

This means,

y = -2

The coordinate in the form of ordered pair is (-4, -2).

Thus,

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

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