g Bob already recorded 12-minute audio and saved the data into one 94-MB file. Now he'll sub-sample this audio so that the content can be copied and transferred to another site using one 45-MB drive. What is the sub-sampling factor he shall use

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

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a). Exact volume of cylinder is equal to 4224 cm³

b). Exact volume of the cone is equal to 1408 cm³

c). The approximate volume of the cone is equal to 1406.7 cm³

a). volume of the cylinder = 22/7 × (8cm)² × 21cm

volume of the cylinder = 22 × 64 cm² × 3 cm

exact volume of the cylinder = 4224 cm³

b). volume of the cone = 1/3 × 22/7 × (8cm)² × 21cm

exact volume of the cone = 22 × 64 cm² × 1 cm

exact volume of the cone = 1408 cm³

c). using the approximate vale of π = 3.14

approximate volume of the cone = 1/3 × 3.14 × (8cm)² × 21cm

approximate volume of the cone = 3.14 × 64 cm² × 7 cm

approximate volume of the cone = 1406.7 cm³

Therefore, the Exact volume of the cylinder and cone are 4224 cm³ and 1408 cm³ respectively. While the approximate volume of the cone is equal to 1406.7 cm³

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The true statement about the two linear functions:

f(x) = 5x + 3

g(x) = 10x + 6

Is that both have the same x-intercept.

Here we have two linear functions:

f(x) = 5x + 3

g(x) = 10x + 6

Clearly the slopes and the y-intercepts are different (and because the slopes are different, the lines are not parallel)

Now let's find the x-intercepts, to check that we need to solve:

f(x) = 0 = 5x + 3

        -3 = 5x

      -3/5 = x

g(x) = 0 = 10x + 6

        -6 = 10x

        -6/10 = x

        -3/5 = x

So both functions have the same x-intercepts, that is the true statement.

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The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Answer: a and c are statistical

Step-by-step explanation:

Answer:

702in^2

Step-by-step explanation:

First you want to find out the area of each of the squares. So first lets do the two 9x9 squares.

9x9+9x9=81+81= 162in^2

Now lets do the bigger rectangle, we see that the width is 15 and that half of the lenght is 18. So with this information the area equation would be 15x(18+18)= 15x36= 540in^2.

Now that we have both the two smaller squares and the bigger rectangle we just have to add them together.

540+162=702in^2 would be the answer

Answer:

See below ~

Step-by-step explanation:

Given : 3 angles of a Δ

Solving :

Finding the angles

Answer:

(5/6)*(2 dozen) = 20

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 dozen = 24

5/6(24)= 5*4= 20

π/32 is the area enclosed by the curve r= sin(8θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(8θ) =0

=> sin(8θ) =0

=> 8θ = 0,π

=> θ = 0, π/8

so a=0 , b= π/8

now  

   A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)    ------(i)

 so   \(r^2\) = (sin(8θ))^2

=>  \(sin^2\) ( 8θ )

ans we know that

cos(2α) = 1 -  2\(sin^2\) α

so   \(r^2\)  = (1- cos(16θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^a_b {\frac{1}{4} *(1-cos(16\alpha ) } \, d\alpha\)

=> 1/4* \(\int\limits^a_b {(1-cos(16\alpha ) } \, d\alpha\)

here a=0 and b=π/8

after putting the value and solving the integral

A = π/32

so A is the area enclosed by r=sin(8θ) is π/32

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The continuous growth rate is approximately 0.6931, which means the population increases by 69.31% continuously every year.

a) To find the percent annual growth rate of the population, we will use the formula:
Growth Rate = (Final Population / Initial Population)^(1/number of years) - 1
Since the population doubles every year, the Final Population is twice the Initial Population. Let's denote the Initial Population as P. So, the Final Population will be 2P. The number of years is 1 since it doubles every year. Now we can plug the values into the formula:
Growth Rate = (2P / P)^(1/1) - 1
Growth Rate = (2)^(1) - 1
Growth Rate = 2 - 1
Growth Rate = 1
The growth rate is 1, which means the population increases by 100% every year.
b) To find the continuous percent growth rate of the population, we use the formula:
Continuous Growth Rate = ln(Final Population / Initial Population) / number of years
Again, the Final Population is 2P and the Initial Population is P. The number of years is still 1. Now we can plug these values into the formula:
Continuous Growth Rate = ln(2P / P) / 1
Continuous Growth Rate = ln(2) / 1
Continuous Growth Rate ≈ 0.6931

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

The extraneous solution of the equation x - 1 = √x + 1 is x = 0

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

x - 1 = √x + 1

Take the square of both sides

So, we have

x² - 2x + 1 = x + 1

Evaluate the like terms

x² - 3x = 0

So, we have

x(x - 3) = 0

Solving for x, we have

x = 3 and x = 0

Substitute x = 3 and x = 0 in x - 1 = √x + 1

3 - 1 = √3 + 1

2 = 2 ---- true

0 - 1 = √0 + 1

-1 = 1 ---- false

Hence, the extraneous solution is x = 0

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Answer:

x = 40

Step-by-step explanation:

We have to find,

→ the value of x in the equation.

The equation is,

→ (x/2) + 3 = 23

Now the value of x will be,

→ (x/2) + 3 = 23

→ x/2 = 23 - 3

→ x/2 = 20

→ x = 20 × 2

→ [ x = 40 ]

Hence, the value of x is 40.

The equilibrium real output, Y, is approximately 1,460 (rounded to the nearest integer) in the given IS-LM model, using the provided IS and LM equations.

To find the equilibrium real output, we need to set the IS equation equal to the LM equation and solve for Y.

Given:

IS equation: Y = 1,586.27 - 3,145.45i

LM equation: i = 0.04

Substituting the LM equation into the IS equation:

1,586.27 - 3,145.45(0.04) = Y

Simplifying:

1,586.27 - 125.82 = Y

1,460.45 = Y

Therefore, the equilibrium real output, Y, is approximately 1,460 (rounded to the nearest integer).

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Answer:

The answer is 1,328

Step-by-step explanation:

The number of ounces that she weighs will be 1328 ounces. Then the correct option is D.

Conversion means converting the same thing into different units.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

If a child weighs 83 pounds. We know that in one pound, there are 16 ounces.

Then the number of ounces that she weighs will be

⇒ 83 x 16

⇒ 1328 ounces

Then the number of ounces that she weighs will be 1328 ounces. Then the correct option is D.

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Answer:

if 5=70

  2=?

cross multiply=28

add  70+28=98          

Step-by-step explanation:

Answer:

0.607142857, = About 60 percent

Step-by-step explanation:

When the question says that much out of that, you divide by. For example, 99 out of 102, you do 99 divided by 102. Then just round to the nearest hundredth. So answer of that would be 97 percent.

The appropriate p-value for a t-value of 2.73 with 5 degrees of freedom is approximately 0.05. This indicates that there is a 5% chance of observing a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true.

In statistics, the p-value measures the strength of evidence against the null hypothesis. The null hypothesis states that there is no significant difference or effect in the population being studied. The p-value is calculated by determining the probability of obtaining a test statistic (in this case, the t-value) as extreme as or more extreme than the observed value, assuming the null hypothesis is true.

To determine the appropriate p-value for a t-value, we typically consult a t-distribution table or use statistical software. In this case, with 5 degrees of freedom and a t-value of 2.73, we look up the critical value or use software to find the corresponding p-value. The p-value associated with a t-value of 2.73 and 5 degrees of freedom is approximately 0.05.

The p-value of 0.05 indicates that there is a 5% chance of obtaining a t-value as extreme as 2.73 or more extreme, assuming the null hypothesis is true. Generally, a p-value of 0.05 or lower is considered statistically significant, implying that the observed result is unlikely to have occurred by chance alone. If the p-value is below a predetermined significance level (often denoted as α, commonly set at 0.05), we reject the null hypothesis in favor of an alternative hypothesis. If the p-value is above the significance level, we fail to reject the null hypothesis.

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Given that a randomly selected card is black, there is a 50% chance that it's a club. Thus, option a is correct.

In a standard 52-card deck, there are 26 black cards including 13 clubs. All clubs are black, therefore there are 13 black clubs. What is the probability that a randomly selected card is a club given that it is a black card? Given that a randomly selected card is black, there is a 50% chance that it's a club.

For example, The probability of drawing a club is 13/52. The probability of drawing a face card is 12/52.

We need to find the probability that it is a spade given that a black card is taken. Therefore, there is 50% chance that the card will be of black spade.

P(getting a black king) ` = 2/52 = 1/26.

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Complete question:

What is the probability of picking the following cards from the deck? Write your response as a fraction, as a decimal, and as a percent. a. P(black)? b. P(club)? c. If you drew a card from the deck and then replaced it, and if you repeated this 100 times, about how many times would you expect to draw a face card (king, queen, or jack)? Explain your reasoning.

Answer:

I can only assume that the entire 1-4x is divided by 2x, and 4 by all of 1 - 5x.  You can guarantee more accurate results by using brackets where appropriate.  If I read that expression with the correct notation, it reads as \(1 - \frac{4x}{2x} + 1 = \frac{4}{1} - 5x\).

Assuming instead that it's meant as \(\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}\), we can solve it as shown below, giving us x values of 1 and 3/20 (or 0.15).

Step-by-step explanation:

First let's reformat this to the usual ax² + bx + c format:

\(\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}\\(1 - 4x)(1 - 5x) = 4(2x + 1)\\1 - 5x - 4x + 20x^2 = 8x + 4\\20x^2 - 5x - 4x - 8x + 1 - 4 = 0\\20x^2 - 17x - 3 = 0\)

Let's solve it with the quadratic formula:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\\\\x = \frac{17 \pm \sqrt{-17^2 - 4\times 20 \times( -3)} }{2\times20}\\\\x = \frac{17 \pm \sqrt{289 + 240} }{40}\\\\x = \frac{17 \pm 23 }{40}\\\\x = 1, \frac{3}{20}\)

Answer:

The strongest correlation is 0.87. In general, a correlation is a measure of the strength and direction of a linear relationship between two variables. Correlation values range from -1 to 1, with -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and 1 indicating a perfect positive linear relationship. Among the numbers you have provided, 0.87 is the only one that is greater than 0, indicating a positive linear relationship between the two variables. This means that as one variable increases, the other variable also tends to increase. This is the strongest possible positive linear relationship, making 0.87 the strongest correlation among the numbers you have provided.

Step-by-step explanation:

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

As the description itself says, binomial probability distribution refers to a distribution of probabilities for random outcomes of bivariate or dichotomous random variables.

Therefore, a distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called (A) binomial probability distribution.

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Complete question:

A distribution of probabilities for random outcomes of bivariate or dichotomous random variables is called a ______.

Group of answer choices

(A) binomial probability distribution

(B) distribution of expected values

(C) random variable distribution

(D) mathematical expectation

Answer:

6%- 457 Million

Step-by-step explanation:

w=241(1.06)^11=457 million

Answer:

Step-by-step explanation:

1/8=0.125

rounded to the nearest thousand is 0

Answer:

7 m

Step-by-step explanation:

63/9=7 and 7*9=63

Answer: 7.

Step-by-step explanation:

Divide 63 and 9 and you get 7. Remember, length times width equals area.

Answer:

\(p^{4} s^{5} y^{-7} z^{-1}\)

Step-by-step explanation:

\(\frac{1}{y^{7} } = y^{-7}\)

\(\frac{1}{z} = z^{-1}\)

Answer:= -12+4x

Step-by-step explanation:

Distribute -4 through the parentheses

8+4x=20

Calculate the difference

-12+4x

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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Answer:

John has trouble making decisions.

Step-by-step explanation:

In the passage, it says the "I don't know what to do," John sighed and shrugged as he stared at the free ticket for tomorrow's show that he'd just been given. ,¨ indicates he´s having some trouble.

Answer:

John has trouble making decisions < 3

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This is 100 % correct :'}  

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I know im late lol , but for the people who didnt know what the answer was this is the answer ! ;')

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Have a nice day < 33 !

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Answer:

b hope this helps

Step-by-step explanation:

Answer: b

Step-by-step explanation: