Which of the following statements can be assumed from the diagram?

A light-year is the distance light can travel in one year. It is equal to 9.46 trillion kilometers or 5.88 trillion miles. This is equal to about 6 trillion kilometers (3.7 trillion miles). It is the most common unit used to measure interstellar distances.

1. One light-year is equal to the distance light can travel in one year.

2. Distance light can travel in one year = speed of light x time

3. Speed of light = 300,000 km/sec

4. Time = 1 year

5. Distance light can travel in one year = 300,000 km/sec x 1 year

6. Distance light can travel in one year = 9.46 trillion km

7.The annual distance that light can cover is 5.88 trillion miles.

A light-year is a unit of distance used to measure interstellar distances. It is equal to 9.46 trillion kilometers, or 5.88 trillion miles. This is equal to approximately 6 trillion kilometers (3.7 trillion miles). This is calculated by multiplying the speed of light (300,000 km/sec) by one year (365.25 days). Light-years are commonly used to measure distances between stars and galaxies.

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Answer:

subtract 3 from both sides.

Answer:

B) Subtract 3 from both sides.

Step-by-step explanation:

EDGE 2020

Limits in mathematic represent the nature of a function as its input approaches a certain value, determine its value or existence at that point. so the answer of the given limit is using L'Hopital Rule:

\(&=\boxed{-\frac{1}{18}}.\end{aligned}$$\)

Here is a step by step solution for the given limit:

Given limit:

\($\lim_{x\to -9}\left(\frac{x^2-2}{9-x}\right)\ \lim_{x\to -9}\left(\frac{9-x}{x^2-2}\right)$\)

To find \($\lim_{x\to -9}\left(\frac{x^2-2}{9-x}\right)$\),

we should notice that we have a  \($\frac{0}{0}$\)  indeterminate form. Therefore, we can apply L'Hôpital's Rule:

\($$\begin{aligned}\lim_{x\to -9}\left(\frac{x^2-2}{9-x}\right)&=\lim_{x\to -9}\left(\frac{2x}{-1}\right)&\text{(L'Hôpital's Rule)}\\ &=\lim_{x\to -9}(-2x)\\ &=(-2)(-9)&\text{(substitute }x=-9\text{)}\\ &=\boxed{18}.\end{aligned}$$\)

To find \($\lim_{x\to -9}\left(\frac{9-x}{x^2-2}\right)$\),

we should notice that we have a \($\frac{\pm\infty}{\pm\infty}$\) indeterminate form. Therefore, we can apply L'Hôpital's Rule:

\($$\begin{aligned}\lim_{x\to -9}\left(\frac{9-x}{x^2-2}\right)&=\lim_{x\to -9}\left(\frac{-1}{2x}\right)&\text{(L'Hôpital's Rule)}\\ &=\boxed{-\frac{1}{18}}.\end{aligned}$$\)

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The best approximation to a solution of the given system of equations is x = -60.5.

The system of equations given as 4x=22y=0x y=11 is not valid because the second equation 4x=22y=0x has two equal signs, which is not allowed in mathematics. It's unclear what was intended to be written in this equation.

However, we can solve the system of equations that's given as:

4x + 22y = 0

y = 11

To solve for x, we can substitute the second equation into the first equation:

4x + 22(11) = 0

Simplifying, we get:

4x + 242 = 0

Subtracting 242 from both sides, we get:

4x = -242

Dividing both sides by 4, we get:

x = -60.5

Therefore, the best approximation to a solution of the given system of equations is x = -60.5.

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Answer:

0

Step-by-step explanation:

The slope should be a 0 slope, since both of the Y values are the same.

Answer:  \(4\sqrt{2}\)  (choice C)

Explanation:

In a 45-45-90 triangle, the hypotenuse is found through this formula

\(\text{hypotenuse} = \text{leg}\sqrt{2}\)

We could also use the pythagorean theorem with a = 4, b = 4 to solve for c.

\(a^2+b^2 = c^2\\\\c = \sqrt{a^2+b^2}\\\\c = \sqrt{4^2+4^2}\\\\c = \sqrt{2*4^2}\\\\c = \sqrt{2}*\sqrt{4^2}\\\\c = \sqrt{2}*4\\\\c = 4\sqrt{2}\\\\\)

Answer:

I think that the correct answers are C and D. I have questions. how many answers can I choose? what is the original photograph size? don't choose an answer until I get the information that I need

Answer:

yooo i got the new rank im now expert :0

Step-by-step explanation:

XD

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

Box above 6: 5 | Box below 7: 6 | Box above 3: 2

Step-by-step explanation:

Answer:

8.5+27.64=36.14

Step-by-step explanation:

(a) The shorted distance between point A and point B is 29.1.

(b) The x-coordinate of the point where the ladybug intersected the x-axis is (-1, 12).

The shorted distance between point A and point B is straight line, which is calculated as follows;

\(d = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2} \\\\d = \sqrt{(12--1)^2+ (10--16)^2} \\\\d = 29.1 \ unit\)

The x-coordinate of the point where the ladybug intersected the x-axis is determined as;

(Ax, Ay), (Bx, By)

= (Ax, Bx)

= (-1, 12)

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The estimates of tolerance intervals, we first need to calculate the mean and standard deviation of the breaking strengths of the trash bags.

To calculate estimates of tolerance intervals using the empirical rule, we need to know the mean and standard deviation of the data. In this case, we are looking for the breaking strengths of trash bags.

The empirical rule states that for a normal distribution:
- Approximately 68.26% of the data falls within one standard deviation of the mean
- Approximately 95.44% of the data falls within two standard deviations of the mean
- Approximately 99.73% of the data falls within three standard deviations of the mean

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Answer:

Step-by-step explanation:

A discrete variable is a variable whose value is obtained by counting. A continuous variable is a variable whose value is obtained by measuring. ... A discrete random variable X has a countable number of possible values. Example: Let X represent the sum of two dice.

The standard error of the sampling distribution of sample proportions for samples of size n is sqrt[p × (1-p)/n]

The standard error of the sampling distribution of sample proportions is a measure of the variability of sample proportions that would be obtained if multiple samples of the same size were taken from the same population. It is calculated as the square root of the product of the sample proportion and its complement, divided by the sample size. Mathematically, the formula is

SE = sqrt(p × (1 - p) / n)

where SE is the standard error, p is the sample proportion, and n is the sample size.

In this scenario, we know that 80% of gamers own a dedicated video game console. Let's assume that the marketing team takes multiple random samples of gamers to estimate the proportion of gamers who own the latest video game console. If the sample size is different for each sample, the sample proportions obtained from each sample will vary due to random sampling error. The standard error will provide a measure of how much this variability is likely to be.

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The majority of Young professional subscribers are interested in personal finance and investment opportunities.

Young Professional magazine would be a good advertising outlet for online brokers because its target audience consists of recent college graduates who are in their first 10 years in a business/professional career. This demographic is likely to have a high level of education, which means they are more likely to understand and be interested in investment opportunities. Additionally, as young professionals, they are likely to have a higher disposable income and a desire to invest and grow their wealth.
According to the survey results, the majority of Young Professional subscribers are interested in personal finance and investment opportunities. This makes the magazine an ideal outlet for online brokers to advertise their services and reach potential customers. The survey also revealed that the majority of subscribers are tech-savvy and comfortable with online transactions, which makes them more likely to be interested in using online brokers for their investment needs.

Overall, the demographics and interests of Young Professional subscribers make it a good advertising outlet for online brokers. By advertising in the magazine, online brokers can reach a highly educated, tech-savvy, and financially motivated audience that is likely to be interested in their services.

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the sample size must be at least 384 full time workers in order for the insurance company to be confident that the true mean differs from the sample mean by no more than 1 day.

We can use a margin of error of 1 day and a confidence level of 95% to calculate the required sample size. This can be calculated using the formula n = (z*σ/e)², where n is the sample size, z is the z-score corresponding to the confidence level (1.96 for 95%), σ is the standard deviation (given as 5 days in the question), and e is the margin of error (given as 1 day in the question). Plugging these values into the equation, we get n = (1.96*5/1)² = 384. Therefore, the sample size must be at least 384 full time workers in order for the insurance company to be confident that the true mean differs from the sample mean by no more than 1 day.

n = (z*σ/e)²

n = (1.96*5/1)²

n = 384

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Answer:

Hey there!

15x-43+8x+18=90

23x-25=90

23x=115

x=5

RSQ=15(5)-43, or 32

TSQ=8x+18, or 58

Let me know if this helps :)

Step-by-step explanation:

Answer:

2

4

6

8

10

12

Step-by-step explanation:

all together it equals 42

The standard deviation of X is: s.d.(X) = sqrt[Var(X)] = sqrt(4/3) = (2/3)sqrt(3).

1. The marginal PDFs Since X and Y are uniform on the triangle having vertices (0,0), (4,0), and (4,2), we have the following information:
X has the density function f(x) = 1/8 for 0 < x < 4, and
Y has the density function g(y) = 1/8 for 0 < y < 2.Therefore, the marginal PDF of X and Y respectively are given as follows:
The marginal PDF of X:
f(x) = ∫g(x, y) dy, integrated over all y values.
Since we have a uniform distribution over a triangle, we have a right-angle triangle, so we can split the integration area to obtain the integral limits:
∫[0, (2-x/2)]1/8 dy = [1/8 * (2-x/2)] = (1/4 - x/16), for 0 1/X > 1)We have:
P(Y > 1/X > 1) = ∫∫[y>1, x>1]f(x, y)dx dy/ ∫∫[x>1]f(x, y)dx dy.
The numerator of the fraction, which is the double integral, is as follows:
∫∫[y>1, x>1]f(x, y)dx dy
= ∫[1, 4]∫[max{0, (2-x/2)}, 2]1/8 dx dy
= ∫[1, 4][y/8 - x/32]dy
= [y^2/16 - xy/32] with limits [max{0, (2-x/2)}, 2] for x and [1, 4] for y.
= [8 - 5x/4] with limits [2, 4] for x.
Therefore, the numerator of the fraction equals:
∫∫[y>1, x>1]f(x, y)dx dy = ∫[2, 4][8 - 5x/4]dx
= [8x - (5/8)x^2] with limits [2, 4] for x.
= 22/8 = 11/4.The denominator of the fraction is the marginal PDF of X, so it equals:
∫∫[x>1]f(x, y)dx dy
= ∫[1, 4]∫[max{0, (2-x/2)}, 2]1/8 dy dx
= ∫[1, 4][(2-x/2)/8] dx
= (3/8)x - (1/16)x^2 with limits [1, 4] for x.
= 9/8.
Therefore, the conditional probability equals:
P(Y > 1/X > 1) = (11/4) / (9/8) = 22/9.3. s.d. (X)The variance of X is:
Var(X) = E[X^2] - E[X]^2,
where E[X] = ∫xf(x)dx = ∫[0, 4](1/4 - x/16)dx = 2,
and E[X^2] = ∫x^2f(x)dx = ∫[0, 4](1/8 - x^2/256)dx = 16/3.
Therefore, the variance of X is:
Var(X) = E[X^2] - E[X]^2 = (16/3) - 4 = 4/3.
Thus, the standard deviation of X is: s.d.(X) = sqrt[Var(X)] = sqrt(4/3) = (2/3)sqrt(3).

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That statement is true. When two integers are multiplied together, the result is always an integer. This property is a fundamental characteristic of integers.

Integers are whole numbers that can be positive, negative, or zero. When you multiply any two integers, the result will always be another integer.

For example:

- Multiplying two positive integers: 3 * 4 = 12

- Multiplying a positive and a negative integer: (-5) * 6 = -30

- Multiplying two negative integers: (-2) * (-8) = 16

- Multiplying an integer by zero: 9 * 0 = 0

In each case, the product of the integers is still an integer. This property holds true regardless of the specific values of the integers being multiplied.

It is important to note that this property does not apply to all real numbers. When multiplying real numbers, the result may not always be an integer. However, when specifically dealing with integers, their multiplication will always yield an integer result.

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An integer multiplied by an integer is an integer. True or False?

Answer:

41 mph

Step-by-step explanation:

122 = 3r

r = 40 2/3 mph

Answer:

Step-by-step explanation:

To solve this problem, isolate x from one side of the equation.

First, subtract by 14 from both sides.

14-3x-14<-1-14

Solve.

-3x<-15

Multiply by -1 from both sides.

(-3x)(-1)>(-15)(-1)

Solve.

3x>15

Then, you divide by 3 from both sides.

3x/3>15/3

Solve.

15/3=5

x>5

In conclusion, final answer is x>5.

The present value of the working capital cash flow expected to be received in year 10 is approximately $101,548.6.

The present value of the working capital cash flow expected to be received in year 10,  to discount it back to its present value using the after-tax cost of capital.

The present value (PV) :

PV = CF / (1 + r)²n

Where:

CF = Cash Flow in year 10

r = After-tax cost of capital

n = Number of years

The cash flow in year 10 is the liquidation of the working capital investment, which is $200,000. The after-tax cost of capital is 10%, which means the discount rate (r) is 0.10. The number of years (n) is 10.

After-tax cost of capital = Cost of capital × (1 - Tax rate)

= 10% × (1 - 30%)

= 0.10 × (1 - 0.30)

= 0.10 × 0.70

= 0.07

The present value of the cash flow:

PV = $200,000 / (1 + 0.07)²10

= $200,000 / (1.07)²10

= $200,000 / 1.967151

= $101,548.68

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Answer:

$3.65

Step-by-step explanation:

$14.60/4 = $3.65

So, each hamburger costs $3.65.

Answer:

the answer is 3.65. Hope that helps

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

Explanation:

Check out the diagram below to see what's going on.

Use the pythagorean theorem to find b

\(a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\\)

The length is roughly 3.7 feet.

The cost of each lily is $3.25, and the cost of each rose is $6.50 according to the first arrangement and second arrangement.

Let's assume the cost of each lily is represented by "L" and the cost of each rose is represented by "R." Based on the given information, we can form a system of linear equations.

From the first arrangement, we know that 5 lilies and 1 rose cost $19.75. This can be written as the equation 5L + R = 19.75.

From the second arrangement, we know that 6 lilies and 3 roses cost $27.75. This can be written as the equation 6L + 3R = 27.75.

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method.

Multiply the first equation by 3 and the second equation by -1 to eliminate the R term:

15L + 3R = 59.25

-6L - 3R = -27.75

Adding the equations, we get:

9L = 31.50

Divide both sides by 9:

L = 3.50

Now substitute the value of L back into one of the original equations. Let's use the first equation:

5(3.50) + R = 19.75

17.50 + R = 19.75

Subtract 17.50 from both sides:

R = 2.25

Therefore, the cost of each lily is $3.50, and the cost of each rose is $2.25.

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The number of people that have an IQ between 71 and 118, to the nearest whole number is 1030.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

Z = (X-μ)/σ

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

Given the mean is 100, while the standard deviation is 15. Therefore, we can write,

P(71≤X≤118) = P(X≤118) - P(X≤71)

                   \(= P(Z\leq \dfrac{118-100}{15}) - P(Z\leq \dfrac{71-100}{15})\\\\= P(Z\leq 1.2) - P(Z\leq -1.933)\\\\= 0.8849 - 0.0268\\\\= 0.8581\)

Thus, of the population of 1200, 85.81% of the people will have an IQ between 71 and 118. Therefore, the number of people who have the IQ between 71 and 118 are:

Number of people = 1200 × 0.8581 = 1029.72 ≈1030

Hence, the number of people that have an IQ between 71 and 118, to the nearest whole number is 1030.

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Answer:

C) \(-\frac{3}{4}\)

Step-by-step explanation:

Slope can be found using the change in y over the change in x

-> See attached, it is difficult to type out here

\(\frac{-5--2}{3--1} =\frac{-5+2}{3+1} =\frac{-3}{4}\)

Giving us an answer of C) \(\frac{-3}{4}\)

Answer:

\(-\frac{3}{4}\)

Step-by-step explanation:

The equation for slope is:

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

We can plug the given coordinates into the equation:

\(Slope=\frac{-5-(-2)}{3-(-1)}=\frac{-5+2}{3+1}=\frac{-3}{4}=-\frac{3}{4}\)