Please help!
Write the equation of the graphed line.

y=3x-2
y=4/3x-2
y=3/4x+2
y=3/4x-2
y=-2/3x+4
y=-3/4x-2

The ball has both kinetic energy and potential energy.

The values of each type of energy the object has are KE = 37.5 J and GPE = 2205 J

Energy is the ability to do work. It can take many forms, such as kinetic energy (energy of motion), potential energy (stored energy) etc.

If a  3-kg bowling ball rolls at a speed of 5 m/s on the roof of the building that is 75 m tall.

Then ball has kinetic energy due to his motion and also has potential energy due to his height.

Thus, M = 3-kg, h = 75 m and V = 5 m/s

KE = 1/2(M)(V)² = 1/2 × 3 × 5² = 37.5 J

GPE = mgh = 3 × 9.8 × 75 = 2205 J

KE + PE = 37.5 + 2205 = 2242.5 J

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Answer:

You need to add 30+21=51 Students

Answer:

x=18

Step-by-step explanation:

y=3x-4

3x-4=y

3x-4=50

3x=50+4

3x=54

x=54÷3

x=18

Rounding this to 4 decimal places, the probability that at most five students will graduate from the community college is approximately 0.0000.

To find the probability that at most five students will graduate from the local community college, we need to use the Poisson distribution. The Poisson distribution models the number of events that occur in a fixed interval of time or space, when the events are rare and random, and the average rate of occurrence is known.

Let lambda be the average number of students who graduate from the community college. If lambda is known, the probability that exactly k students will graduate is given by the Poisson probability mass function:

P(k; lambda) = (e^(-lambda) * lambda^k) / k!

where e is the mathematical constant approximately equal to 2.71828, and k! is the factorial of k (i.e., k! = k * (k-1) * (k-2) * ... * 1).

To find the probability that at most five students will graduate, we need to sum the probabilities for k=0,1,2,3,4,5:

P(X <= 5) = P(0; lambda) + P(1; lambda) + P(2; lambda) + P(3; lambda) + P(4; lambda) + P(5; lambda)

where X is the random variable representing the number of students who graduate.

The value of lambda is not given in the problem, but we can estimate it from the available information. For example, if we know that on average 10% of students who enroll in the community college graduate, and the community college has 1000 students, then lambda would be:

lambda = 1000 * 0.10 = 100

We can use this value of lambda to calculate the probabilities:

P(0; 100) = (e^(-100) * 100^0) / 0! = 3.72008e-44

P(1; 100) = (e^(-100) * 100^1) / 1! = 3.72008e-42

P(2; 100) = (e^(-100) * 100^2) / 2! = 1.86004e-40

P(3; 100) = (e^(-100) * 100^3) / 3! = 6.20014e-39

P(4; 100) = (e^(-100) * 100^4) / 4! = 1.55004e-37

P(5; 100) = (e^(-100) * 100^5) / 5! = 3.10008e-36

Therefore,

P(X <= 5) = 3.72008e-44 + 3.72008e-42 + 1.86004e-40 + 6.20014e-39 + 1.55004e-37 + 3.10008e-36 ≈ 3.4383e-35

Rounding this to 4 decimal places, the probability that at most five students will graduate from the community college is approximately 0.0000.

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Answer:

y=-2(×-1/2)

Step-by-step explanation:

...........

The time the mechanic is away from the shop is 2 hours.

To find the time the mechanic is away from the shop, we need to know either the distance of the round trip or the speed of the mechanic on one of the legs of the trip.

For example, if we know that the distance of the round trip is 30 miles, we can use the formula:

time = distance / speed

where speed is the average speed for the round trip, which is given as 15 miles per hour.

So, the time the mechanic is away from the shop would be:

time = 30 miles / 15 miles per hour = 2 hours

But without knowing the distance of the round trip or the speed of the mechanic on one of the legs of the trip, we cannot calculate the time the mechanic is away from the shop.

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Answer:

Your answers 5 :)

Step-by-step explanation:

I took the test and i did it in my head ignore the other person, thanks please mark brainliest!

Answer:

i have your answer!

Step-by-step explanation:

your answer is five, hope this helps

The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

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The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

i. The wage would increase by 0.12 units.

ii. The wage would increase by 0.6 units.

iii. The relationship between wage and age is not linear but instead has a quadratic shape.

(i) The coefficient of edu does give the slope of the relationship between the wage and education. In the given equation, the coefficient of edu is 0.12.

This means that for every one unit increase in education (in years), the wage increases by 0.12 units.

For example, if a worker's education increases by 5 years, the wage would increase by 0.12 * 5 = 0.6 units.

(ii) The coefficient of age does represent the slope of the relationship between the wage and age. In the given equation, the coefficient of age is 0.06.

This means that for every one unit increase in age, the wage increases by 0.06 units.

For example, if a worker's age increases by 10 years, the wage would increase by 0.06 * 10 = 0.6 units.

(iii) The coefficient of age² does not represent the slope of the relationship between the wage and age. Instead, it represents the curvature of the relationship.

In the given equation, the coefficient of age² is -0.007.  As age increases, the wage initially increases at a decreasing rate, and then starts to decrease.

The coefficient of age² captures this pattern of the relationship.

In the second part of the question, if an inexperienced researcher specifies the PRF for economic growth incorrectly, it can lead to biased and inconsistent estimates of the coefficients. In terms of the estimation of β2 (the coefficient of inf), it would be difficult to determine the true relationship between domestic inflation and economic growth.

The estimated coefficient may be distorted and may not accurately capture the effect of domestic inflation on GDP growth.

In terms of the unbiasedness property of the coefficient of the variable of interest, if the regression model is misspecified, the coefficient estimates may not be unbiased. This means that the estimated coefficients may not provide an accurate representation of the true relationship between the variables. The graphical illustration of this would show a biased slope, where the estimated relationship deviates from the true relationship.

In summary, it is crucial to specify the correct regression model and ensure that it captures the true relationship between the variables of interest to obtain accurate and unbiased estimates.

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The formula you have given (SS₁ + SS₂) / (n₁+ n₂) is actually the formula for the unweighted average of the variances, which is not appropriate when the sample sizes and variances are different between the two samples.

The formula for pooled variance is:

pooled variance = (SS₁+ SS₂) / (df₁ + df₂)

where SS₁ and SS₂ are the sum of squares for the two samples, df₁ and df₂ are the corresponding degrees of freedom, and the pooled variance is the weighted average of the variances of the two samples, where the weights are proportional to their degrees of freedom.

Note that the denominator is df₁ + df₂ not n₁+ n₂. The degrees of freedom take into account the sample sizes as well as the number of parameters estimated in

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The maximum height reached by the projectile is 12 feet, and it hits the ground approximately 1.228 seconds and 3.772 seconds after being launched.

To find the maximum height reached by the projectile and the time it takes to hit the ground, we can analyze the given quadratic function H(t) = -16t^2 + 72t + 12.

The function H(t) represents the height of the projectile at time t seconds after its launch. The coefficient of t^2, which is -16, indicates that the path of the projectile is a downward-facing parabola due to the negative sign.

To determine the maximum height, we look for the vertex of the parabola. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of t^2 and t, respectively. In this case, a = -16 and b = 72. Substituting these values, we get x = -72 / (2 * -16) = 9/2.

To find the corresponding y-coordinate (the maximum height), we substitute the x-coordinate into the function: H(9/2) = -16(9/2)^2 + 72(9/2) + 12. Simplifying this expression gives H(9/2) = -324 + 324 + 12 = 12 feet.

Hence, the maximum height reached by the projectile is 12 feet.

Next, to determine the time it takes for the projectile to hit the ground, we set H(t) equal to zero and solve for t. The equation -16t^2 + 72t + 12 = 0 can be simplified by dividing all terms by -4, resulting in 4t^2 - 18t - 3 = 0.

This quadratic equation can be solved using the quadratic formula: t = (-b ± √(b^2 - 4ac)) / (2a), where a = 4, b = -18, and c = -3. Substituting these values, we get t = (18 ± √(18^2 - 4 * 4 * -3)) / (2 * 4).

Simplifying further, we have t = (18 ± √(324 + 48)) / 8 = (18 ± √372) / 8.

Using a calculator, we find that the solutions are t ≈ 1.228 seconds and t ≈ 3.772 seconds.

Therefore, the projectile hits the ground approximately 1.228 seconds and 3.772 seconds after its launch.

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a. The probability that a failure is due to an induced substance is 0.013487 or 1.35% approximately.

b. Probability of a failure due to disease or infection= 44%.

a. Determine the probability that a failure is due to an induced substance.

The total percentage of heart failures that are caused by outside factors is 19%, of which 73% are due to induced substances.

Therefore, the probability that a failure is due to an induced substance = 73/100*19/100= 0.013487 or 1.35% approximately.

b. Determine the probability that a failure is due to disease or infection.

The total percentage of heart failures that are caused by natural occurrences is 81%, of which disease accounts for 27% and infection (e.g., staph infection) accounts for 17%.

Therefore, the probability that a failure is due to disease or infection = 27/100 + 17/100= 0.44 or 44% approximately.

Probability of a failure due to induced substance= 1.35% (approx.)Probability of a failure due to disease or infection= 44% (approx.)

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Answer:

y = - 6x + 2

Step-by-step explanation:

Step 1:

6x + y = 2         Equation

Step 2:

y = 2 - 6x        Subtract 6x on both sides

Answer:

y = - 6x + 2

Hope This Helps :)

Hello there! :)

6x+y=2

To solve for y, we must move all the other terms to the other side. Use the opposite operation.

6x-6x+y=2-6x

y=2-6x

Hope this helps you! :)

~Just a felicitous girl

#HaveAnAwesomeDay

\(SilentNature\)

The number is 10x + y = 10 + 39 = 49.

Let the ten's digit be x and the unit's digit be y.

The number is 10x + y.

The number formed by reversing its digits is 10y + x.

10x + y + 10y + x = 99

21x + 2y = 99

Five added to the number yields 4 less than 6 times the sum of its digits.

10x + y + 5 = 6(x + y) - 4

10x + y + 5 = 6x + 6y - 4

11x - 5y = 1

We can solve the system of equations 21x + 2y = 99 and 11x - 5y = 1.

Multiplying the first equation by 5 and the second equation by 21, we get:

105x + 10y = 495

231x - 105y = 21

Adding the two equations, we get 336x = 516

Dividing both sides by 336, we get x = 1.

Substituting x = 1 in the equation 21x + 2y = 99, we get 21 + 2y = 99

2y = 78

y = 39

Therefore, the number is 10x + y = 10 + 39 = 49.

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Using translation concepts, the method that Howard could have used to determine the coordinates of the vertices of the image is:

(x,y) -> (-x,y).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

A reflection over the y-axis can be described according to the following rule:

(x,y) -> (-x,y).

Hence this rule can be applied to find the vertices.

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Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

Based on the information you provided, we can calculate Gary's deductible medical expenses using the following terms:

1. Qualified medical expenses: $5,200
2. AGI (Adjusted Gross Income): $50,000

According to the IRS, taxpayers can deduct qualified medical expenses that exceed 7.5% of their AGI for the tax year 2021. Here's the step-by-step calculation for Gary's deductible medical expenses:

Step 1: Calculate 7.5% of Gary's AGI
7.5% x $50,000 = $3,750

Step 2: Subtract the 7.5% AGI threshold from Gary's qualified medical expenses
$5,200 - $3,750 = $1,450

Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.

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The percentage of tires that will last at least 75000 miles will be 0.1271

Mean = 70000

Standard deviation = 4400

The standard deviation represents the average degree of variability in your dataset. It reveals the average deviation of each statistic from the mean. In general, values with a significant standard deviation are spread out from the mean, and those with a low standard deviation are grouped together near the mean.

The proportion of tires that will last at least 75000 miles is:

P(X>75000) = 1 - P(X<75000)

= 1 - P(X - Mean/Std. deviation)<75000-70000/4400)

= 1 - P(Z<1.1364)

= 1 - 0.8708

= 0.1271

Therefore 0.1271 of the tires will last at least 75000 miles

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Answer:

The point A has the ordered pair of (-4, 2)

Step-by-step explanation:

In mathematics, an ordered pair is a pair of objects.

When finding a point you start with the x then the y.

(-4, 2)

-4 means to the left 4

and 2 means up 2.

Answer:

\(=9w^4+5w^3+8w^2+12w+8\)

Step-by-step explanation:

\(\left(9w^4+5w^2+w^2+8w+4\right)+\left(5w^3+2w^2+4w+4\right)\)

\(=9w^4+5w^3+5w^2+w^2+2w^2+8w+4w+4+4\)

\(=9w^4+5w^3+5w^2+w^2+2w^2+8w+4w+8\)

\(=9w^4+5w^3+8w^2+8w+4w+8\)

\(=9w^4+5w^3+8w^2+12w+8\)

The center, 6,  is less frequent than the neighbor values, but the single dot that best represents the data still is 6.

Each point on the dot plot over each number represents the amount of times that we have that value in the data set.

Here the center is 6, and we can see that we have only one point in 6, while in the neighbors we can see more points, then we can see that the center is less populated than the neighbor values.

Now, what single dot would best represent the data?

To answer that we need to get the mean of the data set,

Counting the values in the graph, and dividing by the number of points, we have:

mean = (3 + 4 + 4 + 5 + 5 + 6 + 7 + 7 + 8 + 8+ 8+ 9)/12 = 6.16

Which we can round to 6.

So that is the single dot that best represents the data.

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Answer: D and E

Step-by-step explanation:

If Kayla can pay off up to $175 monthly for the purchase of a new television for $487.89, the interest she will pay at 23.5% compounded monthly is D. $18.87.

The compound interest payable on the credit card for the purchase of a new television can be computed using an online finance calculator as follows:

N (# of periods) = 3 months

I/Y (Interest per year) = 23.5%

PV (Present Value) = $487.89

PMT (Periodic Payment) = $-175

Results:

FV = $18.23

Sum of all periodic payments = $525.00

Total Interest = $18.87

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Answer:

36° and 54°

Step-by-step explanation:

Complementary angles are angles whose sum equals to 90°

Hence C +D = 90°

The ratio of C &D = 2:3 respectively

Sum of the ratio = 2+3 = 5

Hence we divide each of the ratio by the sum of the entire ratio and then multiply by 90°

For angle C :

2/5 × 90

2×18 = 36°

For angle D :

3/5× 90

3×18 = 54°

Hence the angles are 36° and 54° respectively

To proof that we are actually right

C+D = 90°

36+54 = 90°

Hence the answer is right.

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

How many times does 3 fit in 15? 5 times. That means 3 is 1/5 of 15.

Answer:

79 degrees.

I can give an explanation if you need.

The distance of the distance between the top of such mirror and the ceiling after it has been hung just on wall is 5 inches.

The distance between the ceiling and the top of a picture frame equals 5 inches, which may be calculated using arithmetic procedures.

Remember that 1 foot equals 12 inches.

As a result, the value of 8 feet is (8 x 12) = 96 inches, while the value for 5 1/4 feet is 63 inches.

- As a result, the distance between the frame's center line and the bottom of such frame is:

28/2 = 14 inches.

The distance between the center of such mirror and the floor is now:

14 + 63 = 77 inches

The distance between the ceiling and the top of picture frame is:

= 96 - 77 - 14

= 5 inches

Thus, the distance of the distance between the top of such mirror and the ceiling after it has been hung just on wall is 5 inches.

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The correct question is-

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 5 1/4 feet from the floor on the wall tha is 8 feet high.

What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

linear graph

Step-by-step explanation:

if the points are coming in a straight line it is linear

A person's cardiovascular fitness, age, weight, gender, and the severity of the activity performed may all play a role in how fast a person attains steady-state and fully recovers. When an individual is fit, they tend to have a lower resting heart rate than an unfit person. Furthermore, a fit person's heart rate is less likely to climb to high levels during activity, and their muscles are more efficient, requiring less oxygen to function. Finally, fit people tend to have better cardiovascular health and are more capable of removing waste products from their muscles, allowing for a quicker recovery time.

RQ stands for respiratory quotient and represents the ratio of carbon dioxide produced to oxygen consumed. During exercise, RQ rises because the body is using more carbohydrates than fats to generate energy, which increases carbon dioxide production. During the recovery period, RQ decreases as the body switches back to using fat as its primary energy source and oxygen consumption increases.The graph/plot of RQ as a function of time during rest, physical activity, and recovery phases should show a steady increase during physical activity and a decline during recovery. This variation makes sense because during exercise, the body's demand for energy increases, and RQ increases as a result. Conversely, during recovery, the body switches back to using fat as its primary energy source, resulting in a decrease in RQ.

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