HELP FAST 10 POINTS
what is the equation of a line that goes the point (4,2) and is parallel to the line by the given equation Y=2x+2

The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.

To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.

However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.

Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).

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Answer: 3

Step-by-step explanation:

The standard notation for a point (also called an ordered pair) is (x, y).

And the standard form of writing a function is:

y = f(x).

Where x is the "input" of the function, and y is the "output" of the function.

Then we can see that in the point (x, y)

The input is the first number, and the output is the second number.

Then for the point (3, 18), the fist number will be the input, then:

In the ordered pair (3, 18), the value that represents the input to a function is  3.

Answer:

3

Step-by-step explanation:

I had the same question for my HW

Answer: D. 3 × 3 × 3

Step-by-step explanation:

Email to 3 friends on Monday = 3

Each of the 3 sent to 3 others = 3 + 3 + 3 = 9

Each of the 9 sent to 3 others = 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 27

Also ; 3 in 3 different stages which can be modeled as ;

3^3 = 3 * 3 * 3 = 27

Answer:

i do my username is EenyMenyOreo

Step-by-step explanation:

Answer:

Yes... lol

Step-by-step explanation:

Why?

Add me: isaaclikesomone

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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The volume of the cylinder can be obtained from the calculation as  1356 \(cm^3\)

We know that the volume of the cylinder is;

π (pi) is a mathematical constant approximately equal to 3.14159

r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)

h is the height of the cylinder (the distance between the bases)

By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.

V = π\(r^2\)h

V = 3.14 *\((12/2)^2\) * 12

h = 1356 \(cm^3\)

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To find the center of mass of the planar lamina, introduce an appropriate coordinate system and follow the steps mentioned below. Round your answers to three decimal places.

To introduce an appropriate coordinate system and find the center of mass of a planar lamina, follow these steps:
1. Choose a coordinate system: Select a coordinate system that best suits the problem and simplifies the calculations. Common choices are Cartesian (x, y), polar (r, θ), or any other suitable coordinate system.
2. Assign coordinates to each point: Label each point on the lamina with its respective coordinates according to the chosen coordinate system.
3. Determine the mass of each point: Assign a mass to each point on the lamina. This can be done by considering the density of the material and the area element at each point. If the mass is not explicitly given, assume it to be 1 for simplicity.
4. Find the total mass of the lamina: Sum up the masses of all the points on the lamina to obtain the total mass.
5. Calculate the x-coordinate of the center of mass: Multiply the x-coordinate of each point by its mass, and then sum up these products. Divide the result by the total mass to get the x-coordinate of the center of mass.
6. Calculate the y-coordinate of the center of mass: Multiply the y-coordinate of each point by its mass, and then sum up these products. Divide the result by the total mass to get the y-coordinate of the center of mass.
7. Round the answers: Round the x-coordinate and y-coordinate of the center of mass to three decimal places, as specified in the question.
Therefore, to find the center of mass of the planar lamina, introduce an appropriate coordinate system and follow the steps mentioned above. Round your answers to three decimal places.

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Answer:

2

Step-by-step explanation:

Answer:

cube 8 so 8x 8x8=512divide by three 170.6

Step-by-step explanation:

170.666666667 is your answer please mark me brainliest

The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

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Answer:

8.5

Step-by-step explanation:

d = √[(-7+1)²+(-1-5)²]

= √[(-6)²+(-6)²]

=√(36+36)

=√72

= 8.5

Answer:

8.5

Step-by-step explanation:

we can plug those coordinates into the distance formula

d =  √(x2 - x1)2 + (y2 - y1)2

d= √((-7)-(-1)^2+((-1)-(5)^2

d = √36+36

d=√72 = 8.48 or 8.5

The z-score is approximately 3.364.

To find the z-score, we can use the formula:

z = (x - μ) / (σ / √n)

Where:

x = sample mean (41.9 mg)

μ = population mean (40 mg)

σ = population standard deviation (5.2 mg)

n = sample size (60)

Substituting the given values into the formula, we get:

z = (41.9 - 40) / (5.2 / √60)

Calculating this expression, we find:

z ≈ 3.364

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Hello, I Am BrotherEye

Answer: The Logical Answer Is X√6y

Step-by-step explanation:

Answer Completed Using an Graphing Calculator

Best Of Luck

~

BrotherEye

Answer:

is 6

Step-by-step explanation:

Answer:

maybe the answer is 16

because from 1 to 20, 16 is a number that have a square root.

Hope it helps!

From the hypothesis test conducted, the calculated t-statistic of -3.57 is less than the lower critical t-value of -2.064. This tells us that the observed sample mean of 87% is significantly different from the claimed population mean of 92% at the 0.05 significance level. Therefore, the null hypothesis can be rejected and conclusions can be made that that there is enough evidence to suggest that the average grade of the students in the Algebra 2 class this year is not equal to the average grade of the same students in the Algebra 1 class two years ago.

To determine whether there is enough evidence to reject the teacher's claim, we can conduct a hypothesis test. A one-sample t-test will be us to compare sample mean.

Here are the sample statistics:

Sample size (n) = 25

Sample mean (X) = 87%

Sample standard deviation (s) = 7%

A significance level (α) of 0.05, wil be used

We first calculate the t-statistic, with  (X - μ) / (s/√n),

t = (87 - 92) / (7/√25) = -5 / (7/5) = -3.57

Then, we check this value against the critical t-value for a two-tailed test with 24 degrees of freedom (n-1), and α = 0.05.

The critical t-values for a two-tailed test at α = 0.05 and df = 24 are approximately -2.064 and +2.064.

-3.57 t-test is less than the lower critical t-value of -2.064. This means that the observed sample mean of 87% is significantly different from the claimed population mean of 92% at the 0.05 significance level.

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We can use the formula for compound interest: A = P(1 + r/n)^(nt), where A represents the amount owed, P is the principal amount, r is the interest rate.

a) To find the amount owed at the end of the first year, we substitute the given values into the compound interest formula. Since the interest is compounded annually, n = 1. Therefore, the calculation is as follows:

A = 3000(1 + 0.02/1)^(1*1)

A = 3000(1 + 0.02)^1

A = 3000(1.02)

A = 3060

Therefore, the amount owed at the end of the first year is $3060.

b) To calculate the amount owed at the end of the second year, we use the same formula but with t = 2:

A = 3000(1 + 0.02/1)^(1*2)

A = 3000(1 + 0.02)^2

A = 3000(1.02)^2

A = 3000(1.0404)

A = 3121.20

Thus, the amount owed at the end of the second year is $3121.20.

In summary, DeAndre borrows $3000 with a 2% compounded interest rate. Using the compound interest formula, we find that the amount owed at the end of the first year is $3060, and at the end of the second year is $3121.20. The formula takes into account the principal amount, interest rate, compounding frequency, and the number of years to calculate the amount owed.

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Answer:

The total number of combinations that include cheddar and turkey is 2.

Step-by-step explanation:

Since the meat and cheese of the sandwich have already been locked in, the different number of sandwiches with cheddar and turkey is down to the number of bread. Since there are two types of bread: white and rye, that means there are two different combinations that include cheddar and turkey.

Answer: 30

Step-by-step explanation:

It to be 30 but this look hard so I’m not sure

Answer:

you can put the number on one side of the equation then the "x" part on the other side.

with c) 4x = 6-10

           4x = -4

            x = -4/4

            x = -1

with d) 7x - 1 = 4x + 8

           7x - 4x = 8 + 1

           3x  = 9

           x = 9/3

           x = 3

Answer:

c) x = -1.  d) x = 3

Step-by-step explanation:

c) move like terms together. then get x by itself

10 + 4x = 6

-10

4x = -4

4x/4 = -4/4

x = -1

d) move like terms together.  then get x by itself

7x-1 = 4x+8

+1          -4x

3x = 9

3x/3 =9/3

x = 3

The probability of event B is 0.5.

The Probability (P) is the ratio of the number of favorable outcomes to the total number of outcomes. If the events A and B are independent events, then they will not influence each other, and the probability of their occurrence will be calculated separately.

Given: P(A) = 0.4P(A U B) = 0.64

Formula: P(A U B) = P(A) + P(B) - P(A ∩ B)

The Venn diagram for two events A and B is given below:

A Venn diagram is used to show the relative probabilities of events. The rectangle represents the sample space S, which contains all the possible outcomes. A is represented by the circle A, and B is represented by the circle B.

The shaded region represents A U B.

From the Venn diagram, we can see that P(A U B) = P(A) + P(B) - P(A ∩ B) = 0.64

The probability of the intersection of events A and B is given by

P(A ∩ B) = P(A) + P(B) - P(A U B)

P(A ∩ B) = 0.4 + P(B) - 0.64

0.4 + P(B) - 0.64 = P(A ∩ B)

0.4 + P(B) - 0.64 = P(A ∩ B)

P(B) = P(A ∩ B) + 0.64 - 0.4

P(B) = P(A ∩ B) + 0.24

Probability (P) is always between 0 and 1.

P(A) = 0.4 (0 ≤ P(A) ≤ 1)

P(A U B) = 0.64 (0 ≤ P(A U B) ≤ 1)

P(B) = P(A ∩ B) + 0.24 (0 ≤ P(B) ≤ 1)

P(A U B) = P(A) + P(B) - P(A ∩ B)

0.64 = 0.4 + P(B) - P(A ∩ B)

P(B) = P(A ∩ B) + 0.24

Therefore, P(B) = 0.5

Explanation:

We are given the values of P(A) and P(A U B).

We are to find the value of P(B).

The formula P(A U B) = P(A) + P(B) - P(A ∩ B) is used to calculate P(B).

We can obtain the value of P(A ∩ B) by substituting the value of P(A) and P(A U B) in the above formula and simplifying it.

After obtaining the value of P(A ∩ B), we can substitute it in the formula P(B) = P(A ∩ B) + 0.24 to obtain the value of P(B).

Finally, we get P(B) = 0.5. Therefore, the probability of event B is 0.5.

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Answer:

y = 3/4x - 3

m= 3/4

y = (0,-3)

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To calculate the amount of fencing needed for Mrs. Hough's raised garden, we first need to determine the dimensions of the garden.

Since the garden is next to a 13.5 ft fence, we know that one side of the garden is 13.5 ft.

Let's assume the other two sides of the garden have lengths x and y.

The area of the garden is given as 121.5 sq ft, so we have the equation:

x × y = 121.5

To find the dimensions of the garden, we can solve this equation. One possible solution is x = 9 ft and y = 13.5 ft.

Therefore, the dimensions of the garden are 9 ft by 13.5 ft.

Now, to calculate the amount of fencing needed, we add up the lengths of the three sides (excluding the side next to the fence):

Fencing needed = x + y + x = 9 ft + 13.5 ft + 9 ft = 31.5 ft

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

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Answer:

9 nd 12

Step-by-step explanation:

i just did it

Answer:

The answer Jogging 9 & Bicycling 12

Step-by-step explanation:

The length of the triangle is given by

a) Shorter side = 10.4 units

b) Hypotenuse = 36 units

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of the longer length of the triangle is = 18 units

And , In a 30-60-90 triangle, the ratio of the side lengths is:

short leg : long leg : hypotenuse = 1 : √3 : 2

On simplifying , we get

a : b : c = 1 : √3 : 2

So , the length of shorter side a = 18 / √3

a = 10.4 units

And , the hypotenuse of the triangle c = 2 x ( 18 )

c = 36 units

Hence , the lengths of the triangle are solved

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Answer:

Power is the zero at the end of the number like this 56 small 0 at the top right

Step-by-step explanation: Its not just the zero its whatever number is divided by the power it cant go past 50

Answer:

16 inches

Step-by-step explanation:

12 divided by 3 is 4

4 inches for 1/4 of the year

4 x 4 = 16 inches

Answer:

The evening temperature is 4° F

Step-by-step explanation:

6° F below 0 =  -6.

15° F. -6 + 15 is 9.

9° F. 5° F. 9 - 5 = 4

Sarah uses 10 bottles of water to make juice, and each bottle holds 1/5 L of water. To find the total amount of water Sarah used, we multiply the number of bottles by the amount of water in each bottle. Therefore, Sarah used a total of 2 liters of water to make juice.

Given that each bottle holds 1/5 L of water, we can calculate the total amount of water used by multiplying the amount of water per bottle by the number of bottles.

Amount of water per bottle = 1/5 L

Number of bottles = 10

To find the total amount of water, we multiply:

Total water = (Amount of water per bottle) x (Number of bottles)

              = (1/5 L) x (10 bottles)

              = 2 L

Therefore, Sarah used a total of 2 liters of water to make juice.

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To simplify radical expressions with variables, identify perfect square factors, simplify the radical by taking out the largest possible integer factor that is a perfect square, and then multiply by the remaining factor outside the radical. Repeat the process until no more simplification is possible.

To simplify radical expressions with variables, follow these steps

Factor the expression under the radical sign into its prime factors.

Identify any perfect squares within the factors.

Rewrite the expression with the perfect squares outside the radical sign and the remaining factors inside.

Simplify any remaining radicals if possible.

Combine any like terms if necessary.

For example, to simplify the expression √(12x²y), you would first factor 12x²y into 2 * 2 * 3 * x * x * y. Then, you would identify the perfect square of x² and rewrite the expression as 2x√(3y). Finally, you could simplify further if possible, but in this case, the expression is already in its simplest form.

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Answer:  Yes (5, 50) is a solution

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

Explanation:

The point (5, 50) means x = 5 and y = 50 pair up together.

Plug those values into the first equation and simplify both sides as much as possible. This is so we have one number on each side.

y = 5x+25

50 = 5*5+25

50 = 25+25

50 = 50

Because we ended up with a true statement at the end, this makes the original equation y = 5x+25 to be true when (x,y) = (5,50).

In other words, the first equation has been confirmed.

---------

Repeat those steps for the second equation

y = 3x+35

50 = 3*5+35

50 = 15+35

50 = 50

We get another true statement, and we've confirmed the second equation.

Both equations are true when (x,y) = (5, 50)

---------

This fully confirms that (5, 50) is indeed a solution to this system.

It turns out it's the only solution. Visually we can verify this by looking at the graph. The two lines intersect at one location and it is (5, 50).

See below.