Which of the following equations is graphed below

3x-5 y=2

1x-1/2 y=2

3x+2 y=4

1/2x-1/2 y=1

The time that the ball is lower than the building in interval notation is 3 seconds.

It should be noted that from the information, the ball is thrown straight up from the top of a tower that is 280 ft high with an initial velocity of 48 ft/s and the height of the object can be modeled by the equation s(t) = -16t² + 48t + 280.

It should be noted that the height is illustrated as 280 ft.

Therefore, the time that the ball is lower than the building will be:

-16t² + 48t + 280 - 280 = 0

-16t² + 48t = 0

-16t² = -48t

t = -48t / -16t

t = 3 seconds

Therefore, the time that the ball is lower than the building in interval notation is 3 seconds.

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Answer:

30 degrees

Step-by-step explanation:

So a complete circle consists of 360 degrees but we are trying to find what ADB equals so we are going to subtract BDC and ADC from 360:

BDC = 150

The graph does not say what ADC equals so we are going to look at the graph and see that ADC is half of the circle so we are going to divide 360 by 2:

360/2 = 180

So ADC equals 180, since we know what ADC and BDC equal we are going to add them together and then subtract them from 360:

180 + 150 = 330

360 - 330 = 30

So ADB = 30 degrees

Hope this helps!

Answer: The probability is 0.083

Step-by-step explanation:

First, let's find the individual probabilities:

The probability that the outcome of the red number cube is even:

This will be equal to the quotient between the number of outcomes that are even (3) and the total number of outcomes for this dice (6)

Then the probability is:

p = 3/6 = 1/2.

The probability that the outcome of the blue number cube is a 5.

Similar to the above case, here the probability will be the quotient between the number of outcomes that are 5 (only one) and the total number of outcomes.

q = 1/6

And the joint probability will be equal to the product of the individual probabilities, then he probability that the outcome of the red number cube is even and the outcome of the blue number cube is a 5 is equal to:

P = p*q = (1/2)*(1/6) = 1/12 = 0.083

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

\(\frac{5a^4b^5}{9}\)

Step-by-step explanation:

\(\frac{15a^1^6b^1^1}{(3a^4b^2)^3}\)

\(=\frac{15a^1^6b^1^1}{27a^1^2b^6}\)

\(=\frac{15a^4b^5}{27}\)

\(=\frac{5a^4b^5}{9}\)

Answer = \(=\frac{5a^4b^5}{9}\)  

Answer:

mean is = 28.4

median is = 26

Step-by-step explanation:

mean- average

( 25+ 27+ 24+ 26+ 40 )/5 = 28.4

median- middle

25, 27, 24, 26, 40

{ rearrange }

24, 25, 26, 27, 40

the middle number is 26

The absolute value f(x)=6|x| function as a piecewise-defined function is:

f(x) = { 6x, if x ≥ 0

        { -6x, if x < 0

A piecewise-defined function is a function that is defined by multiple sub-functions, each of which applies to a certain range of the input (or domain) values.

Each sub-function is defined by a separate piece of the overall function, and together they define the entire domain of the function. The sub-functions are typically separated by breakpoints, which are values of the input variable at which the sub-functions change.

|x| can either be -x or x. Thus, the absolute value function f(x) = 6|x|  can be written as:

f(x)= 6x or f(x)= -6x

Therefore, the piecewise-defined function of f(x) = 6|x| will be:

f(x) = { 6x, if x ≥ 0

        { -6x, if x < 0

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The interval (461.7, 598.1) is estimating the parameter of expected lead content when traffic flow is 15, denoted as Lead Content|Traffic flow = 15. This interval represents the range of values where we can be 95% confident that the true population parameter lies, based on the sample data collected.

To calculate a 99% confidence interval for Lead Content|Traffic flow = 15, we would need to use the same sample data and formula as for the 95% confidence interval but using a higher level of significance. Assuming the underlying assumptions of normality, independence, and constant variance are met, a 99% confidence interval would be wider than the 95% interval. Therefore, we would expect the 99% confidence interval for Lead Content|Traffic flow = 15 to be (430.7, 629.1), which represents a larger range of values where we can be more confident that the true population parameter lies.

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The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Answer:

The Average annual return is:

= 10%.

Step-by-step explanation:

a) Data and Calculations:

Year        Stock Returns

Year 1                 -4%

Year 2             +28%

Year 3              +12%

Year 4              + 4%

Total returns = 40%

Average annual returns = 10% (40%/4)

b) The average annual return is computed as the total returns for the four years divided by 4.  It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period.  It is the mean of the total returns.

Answer:

Step-by-step explanation:

C

Answer:

The smallest number of bills he could have is 5 bills.

Step-by-step explanation:

He could have two 20's, one 5, and two 1's. 20+20+5+1+1=47

Hope this helped :)

Answer:

5 bills.

Step-by-step explanation:

Smallest number of bills he can have is 5.

$20+$20+$5+$1+$1=$47

Answer:

sorry I can't understand hahahhaha

Step-by-step explanation:

Speak korean po

The economic order quantity (EOQ) is a formula used in inventory management to determine the optimal order quantity that minimizes the total cost of inventory. The formula for EOQ is: EOQ = √((2 * Demand * Ordering Cost) / Holding Cost) In this case, the demand is 6,000 units per year, the ordering cost is $100, and the holding cost is $5 per unit.

Plugging in these values into the formula, we get:

EOQ = √((2 * 6000 * 100) / 5)

Simplifying the expression inside the square root:

EOQ = √(2 * 6000 * 100 / 5)

Calculating the numerator:

EOQ = √(1,200,000)

Taking the square root:

EOQ ≈ 1,095.45

Therefore, the economic order quantity (EOQ) is approximately 1,095 units.

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The mean of the given probability distribution is 1.3 (rounded to one decimal place).

To find the mean of a probability distribution, we need to multiply each value by its corresponding probability, and then add up all the products. So, using the given values, we can calculate the mean as:

Mean = (0 x 0.1) + (0.1 x 0.05) + (1 x 0.3) + (2 x 0.55) = 1.25

Therefore, the mean of the given probability distribution is 1.3 (rounded to one decimal place).


To find the mean of a probability distribution, we need to multiply each value by its corresponding probability, and then add up all the products. In this case, the given values are 0, 0.1, 1, 0.05, 2, and 0.3, with their respective probabilities. We can calculate the mean by multiplying each value with its probability and then adding up the products. After the calculation, we get the mean as 1.25. Thus, the mean of the given probability distribution is 1.3 (rounded to one decimal place).


The mean of the probability distribution given as 0, 0.1, 1, 0.05, 2, and 0.3 is 1.3 (rounded to one decimal place). This means that on average, the value of the distribution is around 1.3. The mean is a useful measure of central tendency that helps us understand the characteristics of the probability distribution.

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Answer:

c

Step-by-step explanation:

got it right on edjenuity

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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Answer:

X>5273

Step-by-step explanation:

I did the math cuz I needed the answer and got it right so hope I could help.

Answer: G) 50.24

Step-by-step explanation: you have to find the circumference of the circle. Since you already have the diameter which is 16 all you have to do is multiply that by 3.14. If you only had the radius then you will have to multiple the radius times 2 times 3.14. The formulas for circumference are: pi(3.14) x diameter or pi(3.14) x radius x 2

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

Answer:

xy together mean x times y which equals 1

x-y = 0

the the sum is 1

Step-by-step explanation:

1-1 + 1(1)

= 1

Answer:

angle 6 is 30 degrees

Step-by-step explanation:

its because 180/6 = 30

and 30 x 5 = 150 and 150 + 30 =180

hope this helps

-16, -12,0,12,16

1) Since we have the x values for y=4x a direct variation, then the y:

x | y = 4x

-4 4(-4)= -16

-3 4(-3) =-12

0 4 (0) = 0

3 4(3) = 12

4 4(4) =16

2) So these are the values. All we have to do is to plug into that

the fox population in a certain region has an annual growth rate of 8 percent per year. it is estimated that the population in the year 2000 was 7600.

(a) function model for the t year after 2000 (exponential model):

\(p(t) = 7600 (1.08)^t\)

The function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the another variable).

A function is described as a relationship between a group of inputs and one output each. A function is, to put it simply, a connection between inputs in which each input is connected to exactly one output.

Population in 2000,

P(0) = 7600

Growth rate = 8% each year

(a) function model for the t year after 2000 (exponential model):

\(p(t) = 7600 (1.08)^t\)

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The top of the ladder is moving at a rate of 15.5 feet per second.

To find the rate at which the top of the ladder is moving, we can use related rates and the Pythagorean theorem.

Let's denote the height of the ladder as "h" (which is given as 15 feet), the distance of the base from the wall as "x" (which is given as 8 feet), and the rate at which the base is moving as "dx/dt" (which is given as 0.5 feet per second). We need to find the rate at which the top of the ladder is moving, which we'll call "dy/dt."

According to the Pythagorean theorem, we have:

x² + h² = l²

Differentiating both sides of this equation with respect to time (t), we get:

2x(dx/dt) + 2h(dh/dt) = 2l(dl/dt)

Since dx/dt and dl/dt are given, we can substitute their values:

2(8)(0.5) + 2(15)(dh/dt) = 2(unknown value of dy/dt)

Simplifying this equation, we have:

16 + 30(dh/dt) = 2(dy/dt)

Now we can solve for dy/dt in the equation:

dy/dt = (16 + 30(dh/dt)) / 2

Plugging in the given values:

dy/dt = (16 + 30(0.5)) / 2

dy/dt = (16 + 15) / 2

dy/dt = 31 / 2

dy/dt = 15.5 feet per second

Therefore, the top of the ladder is moving at a rate of 15.5 feet per second.

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Answer:

40%

Step-by-step explanation:

20-15 = 5, 2 students passed and did the assignment, 0.4 = 40%

Answer: 9 + 24x - 8x= 4 + 16x

14x - (7x + 5) = 7x +

Step-by-step explanation: 9 + 24x - 8x= 4 + 16x

Step 1: Simplify both sides of the equation.

9+24x−8x=4+16x

9+24x+−8x=4+16x

(24x+−8x)+(9)=16x+4(Combine Like Terms)

16x+9=16x+4

16x+9=16x+4

Step 2: Subtract 16x from both sides.

16x+9−16x=16x+4−16x

9=4

Step 3: Subtract 9 from both sides.

9−9=4−9

0=−5

Answer:

There are no solutions.

Answer:

observe another one at 2:00pm