A store pays a supplier $8.00 for a calculator. The store sells the calculator for $13.00. What is the markup rate? *Round to the nearest tenth if necessary.

Given,

The diagram of the circle and the central angles is hown in the question.

Required

The value of x.

Here, the angle formed by the chord (2x+1) is on the circle measure 25 degree. The angle formed by the chord x+3 on the center of the circle measure 50 degree.

The angle formed on the center of the circle is equal to the double of angle formed on the circle, then the measure of the chord is equal.

Therefore,

Hence, the value of x is 2.

Answer:

D

Step-by-step explanation:

6 days is 60%

Answer:

5x+6= 10x-8

14= 5x

x= 2.8

Step-by-step explanation:

Answer:

The answer is -5/24.

Step-by-step explanation:

Answer:

A = -5/24

Step-by-step explanation:

1/2 (1/4 - 2/3)

1/2 (3/12 - 8/12)

1/2 (-5/12)

= -5/24

The solutions of the equation 2 COS x - 1 = 0 is x = π/3 + 2kπ or x = 5π/3 + 2kπ, where k is any integer and 0 < A < C < 2pi.

The equation: 2 COS x - 1 = 0

We can add 1 to both sides and divide by 2 to isolate COS x:

COS x = 1/2

Since the range of the cosine function is [-1, 1], we know that COS x = 1/2 has solutions for x only at specific angles. We can find these angles by using the inverse cosine function, denoted as COS^(-1), which gives us the value of x that satisfies COS x = 1/2.

Using the unit circle, we can see that the angles for which COS x = 1/2 are π/3 and 5π/3 in the first and fourth quadrants, respectively.

Therefore, the general solution to the equation 2 COS x - 1 = 0 is:

x = π/3 + 2kπ or x = 5π/3 + 2kπ

where k is any integer.

Since 0 < A < C < 2π, we can take A = π/3 and C = 5π/3, and we obtain:

Solution of equation is x = π/3 + 2kπ or x = 5π/3 + 2kπ, where k is any integer.

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Answer: 2144

Step-by-step explanation: thank you to the guy above lol!

Answer: 186

you take 15 and multiply it by 12 then add the extra 6

Check the picture below.

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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The power series representation for f(x) = ln(x^4 + 1), centered at 0, is:

f(x) = x^4 - x^8/2 + x^12/3 - x^16/4 + ..

To find a power series representation for the function f(x) = ln(x^4 + 1), we can start by using the logarithmic identity ln(1 + u) = u - (u^2)/2 + (u^3)/3 - (u^4)/4 + ..., valid for |u| < 1.

In this case, have u = x^4, so we can substitute it into the logarithmic identity:

ln(x^4 + 1) = x^4 - (x^4)^2/2 + (x^4)^3/3 - (x^4)^4/4 + ...

Simplifying the terms, we get:

ln(x^4 + 1) = x^4 - x^8/2 + x^12/3 - x^16/4 + ...

Now, we have expressed ln(x^4 + 1) as a power series centered at 0. The coefficients of the series are the coefficients of the powers of x^4: 1, -1/2, 1/3, -1/4, and so on.

Therefore, the power series representation for f(x) = ln(x^4 + 1), centered at 0, is:

f(x) = x^4 - x^8/2 + x^12/3 - x^16/4 + ...

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The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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\( \frac{12}{1} = \frac{96}{x} \)

\( 12x = 96\)

\(x = \bold{8liter}\)

The data shown in the boxplot suggest that there is greater variability within the treatment groups (a, b, c, and d) rather than between the four groups.

In a boxplot, the box represents the interquartile range (IQR), which gives an indication of the spread or variability of the data within each group. If the boxes for the different treatment groups are large and overlap, it suggests that there is a substantial amount of variability within each group. This indicates that the data points within each group are spread out and not tightly clustered around the median.

On the other hand, if the boxes are narrow and do not overlap much, it suggests that there is less variability within each group. This would imply that the data points within each group are more similar to each other, resulting in less spread.

Based on the given information, if the boxplot shows large and overlapping boxes for the treatment groups, it indicates greater variability within the groups. Therefore, the data have a greater amount of variability within the treatment groups rather than between the four groups.  

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Answer:

$421.72

Step-by-step explanation:

Compounded Monthly Interest Rate Formula: A = P(1 + 4/12)^12t

Simply plug in our known variables:

A = 120(1 + 0.06/12)²¹⁽¹²⁾

A = 120(1.005)²⁵²

A = 120(3.51437)

A = 421.724

Answer:

1) 17/20 2)24 and  1/2 3)terminating 4) 0.8 5)1.8

Step-by-step explanation:

4) 4/5 times both sides by 2 then you get 8/10= 0.8

Answer:

first is 17/20, second is 24 1/2 , third is a terminating decimal, fourth is 0.8, and the fifth is 8.1.

Step-by-step explanation:

hope this helps :)

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:

A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]

B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]

Performing matrix addition on A and B, we add the corresponding elements:

A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],

[3 + 3, (2 + c) + c, -1 + (-1)],

[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]

Simplifying further, we get:A + B = [[1, 4 + c, -3],

[6, 2 + 2c, -2],

[2, 5 + c, 1 + c]

Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].

We can store this value in the string FG_sum using valid Python code formatting as follows:

FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"

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Answer:

6

Step-by-step explanation:

Let x be the vertical height

area of triangle=1/2×6×6=18

1/2×3×x=18/2

1.5x=9

x=6

On april 14, Mikos souvakis borrowed $100,000 with a single-payment loan at 10.5% ordinary interest. He has to pay the loan back on September 14.

The formula for the future value of ordinary or simple interest is:

FV = PV (1 + rt)

Where:

PV = present value

r =  annual interest rate

t = number of periods

In the given problem,

FV = $104,375

PV = $100,000

r = 10.5%

Hence,

104,375 = 100,000 ( 1 +  10.5% t)

104,375 - 100,000 = 10,500 t

t = 4,375/10,500 years

 = (4,375/10,500) x 12 month

 = 5 months

Hence, the period of maturity of the loan is 5 months. Therefore he has to pay on September 14.

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Answer:

$0.45.

Step-by-step explanation:

Total amount of money held by all 5 children

= 5 * 0.50 = $2.50.

After 0.25 is lost the total = $2.25.

So the new average = 2.25 / 5

= $0.45.

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

\(\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988\)

The combined proportion is:

\(\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989\)

(a)

The hypothesis is:

H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.

Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.

Compute the test statistic as follows:

\(Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}\)

   \(=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78\)

Compute the p-value as follows:

\(p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075\)

The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of z for 99% confidence level is 2.58.

\(CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}\)

     \(=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\\)

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Answer:

\(m=\frac{4}{3}\)

Step-by-step explanation:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Here

\((x_1, y_1)= (-2, -3)\)

and

\((x_2, y_2)=(1, 1)\)

\(m=\frac{1-(-3)}{1-(-2)}\)

The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.

To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.

Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.

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Answer:

\(x=-2\)

Step-by-step explanation:

This is a vertical line, so the equation is of the form \(x=c\). Since the line passes through \((-2,2)\), it follows that \(c=-2\).

The formula for the sum of a finite geometric series, when the common ratio is not equal to 1, is given by\(S = a(1 - r^n)/(1 - r)\), where S is the sum of the series, a is the first term, r is the common ratio, and n is the number of terms in the series.

To derive the formula for the sum of a finite geometric series, let's consider a series with a first term 'a' and a common ratio 'r'. The series can be represented as \(a + ar + ar^2 + ar^3 + ... + ar^(n-1)\), where n is the number of terms in the series.

Now, if we multiply the series by the common ratio 'r', we get\(ar + ar^2 + ar^3 + ... + ar^(n-1) + ar^n.\)

Subtracting the original series from this, we have: \((ar + ar^2 + ar^3 + ... + ar^(n-1) + ar^n) - (a + ar + ar^2 + ar^3 + ... + ar^(n-1)) = ar^n - a.\)

We can observe that most terms in the series cancel out, leaving only \(ar^n\) and -a. Now, if we factor out 'a' from the right side, we get: \(ar^n - a = a(r^n - 1).\)

Dividing both sides by (r - 1), we obtain the formula for the sum of the geometric series: S = \(a(1 - r^n)/(1 - r)\).

By using this formula, we can easily find the sum of a geometric series with a given first term, common ratio, and number of terms.

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The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Calculators bought to help individuals complete their personal federal income tax forms is not a business product.

A business product refers to goods or services that are purchased by businesses or organizations to be used in their operations or to produce other goods and services. It excludes products intended for personal use or consumption.

In the given options, calculators bought to help individuals complete their personal federal income tax forms stands out as not being a business product. Calculators purchased for personal use, even if they are used for a specific task related to taxes, are not considered business products because they are intended for personal use rather than for business operations or production.

On the other hand, paper, pens, and tape to be used in an office, chips to be integrated into components for personal computers, marketing consulting services to aid a company in marketing a new product, and oil to be refined into fuel are all examples of business products.

Therefore, calculators bought for personal use is the option that does not represent a business product in the given choices.

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The rate of change of the angle of elevation is -2π/3 radians/second.

We can use the tangent ratio to solve this problem. Since the rope is attached to the boat, we can draw a right triangle with the rope as the hypotenuse. The angle of elevation is the angle formed by the rope and the horizon.

The pulley is 5 feet above the water level, so the length of the opposite side (the side adjacent to the angle) is 5 feet. The length of the hypotenuse is 12 feet, since the boat is 12 feet from the dock.

Using the tangent ratio, we can calculate the angle of elevation:

tan(θ) = opp/hyp = 5/12

θ = arctan(5/12) = 0.927 rad

Now, since the rope is being pulled in at 3 ft/sec, the length of the hypotenuse is decreasing at a rate of 3 ft/sec. Therefore, the rate of change of the angle of elevation is:

rate of change of θ = -(3 ft/sec) / (12 ft) = -2π/3 radians/second

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