find the limit. use l'hospital's rule where appropriate. if there is a more elementary method, consider using it. lim x→[infinity] x9e−x8

Answer:

Look at my solution

Answer:

New point (x+6, y-4)

Step-by-step explanation:

Given:

Points = (x , y)

Mapping

6 units to the right

4 units down

Find:

New point

Computation:

On line X, numbers are add on move right side

So,

x+6

On line Y, numbers are subtract on move down

So,

y-4

New point (x+6, y-4)

Answer:

Hypothesis

if you drop a ball,it will fall toward the ground

Answer:

1. C 2. B

Step-by-step explanation:

1. find the total circumference, d times pi, then put 42 over 360 and multiply them to get that section

2. The actual value of x is 33.2

So I plugged in that value for all of them

Twenty-seven is 25% of 108

Please refer to the attachment for the answer and explanation. Hope it helps!

(1) The measure of the width of the given youth soccer field is 60 yards.

(2) The measure of the length of the given youth soccer field is 100 yards.

(3) The distance diagonally across the youth soccer field is 116.62 yards.

The given parameters;

(1) The width of the soccer field is calculated as;

P = 2(L + W)

320 = 2(40 + W + W)

320 = 2(40 + 2W)

320 = 80 + 4W

4W = 320 - 80

4W = 240

\(W = \frac{240}{4} \\\\W = 60 \ yards\)

(2) The length of the soccer field is calculated as;

L = 40 + W

L = 40 + 60

L = 100 yards

(3) The the distance diagonally across the youth soccer field;

\(d^2 = L^2 + W^2\\\\d^2 = 100^2 + 60^2\\\\d^2 = 13600\\\\d = \sqrt{13600} \\\\d = 116.62 \ yards\)

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Answer:

\(a^{2} + 2ab +b^{2}\)

Solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

Any quadratic problem can be solved using the quadratic formula.

The equation is first changed to have the form ax²+bx+c=0, where a, b, and c are coefficients.

After that, we enter these coefficients into the following formula:

(-b±√(b²-4ac))/(2a)

Quadratic equations can be solved using one of three main strategies: factoring, the quadratic formula, or completing the square.

So, solving x²+2x+7 using the quadratic formula as follows:

Quadratic formula: (-b±√(b²-4ac))/(2a)

Substitute values and caluclate:

x = (-b±√(b²-4ac))/(2a)

x = (-2±√(2²-4(1)(7))/(2*1)

x = (-2±√4-28)/(2)

x = (-2±√-24)/(2)

Complex roots:
x = (-2±2√6i)/(2)

x = -2/2 ± 2√6i/2

Simplifying fractions:
x = -1 ± √6i

So, we have:
x = -1 ± 2.44949i

Therefore, solving the equation x²+2x+7 using the quadratic formula, the resultant answer is x = -1 ± 2.44949i.

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Based on the pie chart, more than half of the cars in the study were from the United States. Option (b) is correct. A pie chart is not equivalent to a histogram, bar chart, time plot, or scatter plot. Option (e) is correct.

Based on the pie chart provided, we can conclude that option (b) is correct - more than half of the cars in the study were from the United States. This is because the slice of the pie chart labeled "US" is the largest, occupying more than half of total area.

Option (a) is incorrect because the pie chart does not provide enough information to make a comparison between the gas mileage of Swedish, Japanese, and American cars. Option (c) is also incorrect because the pie chart does not provide information about specific car brands such as Mercedes Benz, Audi, Porsche, and BMW. Option (d) is incorrect because the size of the slice does not indicate the gas mileage of cars from each country.

So, the correct option is (b).

Regarding part (b), a pie chart is not equivalent to a histogram, bar chart, timeplot, or scatter plot as it is a unique way of visualizing categorical data. So, the correct option is (e).

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Product ab has a value of 18 and is shaped like a regular hexagon.

The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane.

Here,

Let the side of the hexagon be 2.

so the radius of the circle is sqrt(3),

area of hexagon=sqrt(3) * 2 * 3

= 6 sqrt(3)

area of circle is pi (sqrt(3))^2 = 3 pi

3 pi / 6 sqrt(3) = sqrt(3)/ 6

3 * 6 = 18

The value of product ab is 18 which is in the shape of a regular hexagon.

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5. An action or process of solving a problem

Thats all I can answer for u :D

Answer:

A. 37

Explanation:

The angles F and G

Answer:

slope of line a is 1/1. Slope of line B is 2/1

Step-by-step explanation:

Step-by-step explanation:

Notice the domain for both function is all real numbers.

So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.

a. The probability of getting 3 on both dice is 1/36.

b. The probability of each sample point is 1/36.

c. The probability of getting a sum of 7 is 6/36 or 1/6.

d. The probability of getting at least one 5 is 11/36.

e. The probability of getting a sum of 10 or more is 6/36 or 1/6.

a. The sample space for tossing two fair dice can be listed as follows:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

b. Since the dice are fair, each outcome is equally likely.

Therefore, the probability of each sample point is 1/36.

a. The event of getting 3 on both dice can only happen in one way, that is, (3,3).

Therefore, the probability of getting 3 on both dice is 1/36.

b. For the sum of the numbers to be even, either both dice must be odd or both must be even.

There are 3 odd numbers (1, 3, 5) and 3 even numbers (2, 4, 6) on a die. Thus, there are 3 x 3 = 9 ways to get an even sum.

The probability of getting an even sum is therefore 9/36 or 1/4.

c. To get a sum of 7, the following combinations are possible: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).

Therefore, there are 6 ways to get a sum of 7.

Thus, the probability of getting a sum of 7 is 6/36 or 1/6.

d. To get at least one 5, we can either get a 5 on the first die or the second die or both.

There are two ways to get a 5 on one die and one way to get a 5 on both dice.

Thus, the probability of getting at least one 5 is 11/36.

e. There are several ways to get a sum of 10 or more: (4,6), (5,5), (5,6), (6,4), (6,5), and (6,6).

Therefore, there are 6 ways to get a sum of 10 or more.

Thus, the probability of getting a sum of 10 or more is 6/36 or 1/6.

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Answer:

A. 8

Step-by-step explanation:

Sydney is 8 miles far from the airplane if the plane took off at a 15° angle to the ground and flew in Sydney's direction option (A) 8 miles is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

It is given that:

A plane took off at a 15° angle to the ground and flew in Sydney's direction.

She is standing at a point 25 miles from the point where the plane took off. If the plane has traveled 20 miles in the air

From the data we can draw a triangle:

From the diagram:

a + b = 25 miles

a = 20 cos(15)

h = 20 sin (15)

As we know, Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle that is equal to the sum of the squares of the other two sides.

Using Pythagoras theorem:

x = √(h² + b²)

x = √((20 sin15)² + (25 - 20 cos15)²)

After solving:

x = 7.68 miles

or

x = 8 miles

Thus, Sydney is 8 miles far from the airplane if the plane took off at a 15° angle to the ground and flew in Sydney's direction option (A) 8 miles is correct.

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The equation y = 2(kx - 1)^5 represents a curve. To find the equation of the curve, we need to determine the value of the constant k. To do this, we can use the two points given, (0,1) and (1,8), to find two equations and solve for k.

First, we'll substitute the x-coordinate and y-coordinate of the first point, (0,1), into the equation:

1 = 2(k * 0 - 1)^5

Expanding the right-hand side:

1 = 2(-1)^5

1 = -32

This equation is clearly false, so the point (0,1) does not lie on the curve represented by y = 2(kx - 1)^5.

Next, we'll substitute the x-coordinate and y-coordinate of the second point, (1,8), into the equation:

8 = 2(k * 1 - 1)^5

Expanding the right-hand side:

8 = 2(k - 1)^5

Dividing both sides by 2:

4 = (k - 1)^5

Taking the fifth root of both sides:

2 = k - 1

Adding 1 to both sides:

3 = k

Now that we have the value of k, we can write the equation of the curve:

y = 2(kx - 1)^5

= 2(3x - 1)^5

This is the equation of the curve that passes through the points (0,1) and (1,8).

It's important to note that the original equation y = 2(kx - 1)^5 is only one of an infinite number of curves that can pass through the points (0,1) and (1,8). The process of finding the equation of a curve that passes through specific points is known as curve fitting. The specific equation found in this case is just one possible representation of the curve that passes through the given points.

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The nearest cent is 814.45

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

58 minutes

Step-by-step explanation:

Please brainliest me

There are 11 minutes more time to spend doing English homework.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

If you spent 58 minutes doing English homework and 47 minutes doing math homework.

Now,

Since, The time for doing English homework = 58 minutes

And, The time for doing Math homework = 47 minutes

So, The time more to spend doing English homework = 58 - 47

                                                                                   = 11 minutes

Thus, There are 11 minutes more time to spend doing English homework.

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Answer:

Step-by-step explanation:

Solving for variables

1.......................................

2.......................................

3.......................................

4.......................................

here are your answer

d = 2/3

c = 3/2

y = 2/3

x = 4 2/19

have a good day

The impulse response (b) hy(t) = cos(2t)u(t) corresponds to a stable LTI system. Option b is correct.

An LTI (Linear Time-Invariant) system is stable if and only if its impulse response h(t) is absolutely integrable, i.e., the integral of the absolute value of the impulse response over all time is finite:

For impulse response (a), hi(t) = e^-(1-2)t u(t), we can compute the integral of its absolute value:

Since the integral is finite, this impulse response corresponds to a stable LTI system. For impulse response (c), h(t) = 8δ(-21), where δ(t) is the Dirac delta function, the integral of the absolute value is:

Since the integral is finite, this impulse response also corresponds to a stable LTI system. For impulse response (b), hy(t) = cos(2t)u(t), we can compute the integral of its absolute value:

Since the integral is infinite, this impulse response does not correspond to a stable LTI system. Hence Option b is correct.

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The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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Answer:

-1/6

Step-by-step explanation:

To solve the inequality 4x-(6x+1)≤ 8x + 2(x-3), we can simplify both sides of the inequality and isolate x on one side:

4x - (6x + 1) ≤ 8x + 2(x-3)

4x - 6x - 1 ≤ 8x + 2x - 6

-2x - 1 ≤ 10x - 6

Subtract 10x from both sides:

-12x - 1 ≤ -6

Add 12x to both sides:

-1 ≤ 6x

Divide both sides by 6:

-1/6 ≤ x

The solution to the inequality is x ≥ -1/6. This means that x is greater than or equal to -1/6, so any value of x that is greater than or equal to -1/6 will satisfy the inequality.

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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The area of a rectangle can be calculated with this formula:

Where "l" is the length and "w" is the width.

The area of a circle can be found with this formula:

Where "r" is the radius of the circle.

Let be "d" the diameter of the circle shown in the picture. Since it touches the rectangle at two points, you can identify that:

Since the radius of a circle is half the diameter, in this case this is:

Therefore, the area of the circle is:

Now you must find the total area of the rectangle. Knowing that:

You get:

In order to find the total area of the shaded region, you must subtract the total area of the rectangle and the area of the circle. Then, this is:

The answer is: Option D.

Answer:

70 minutes

Step-by-step explanation:

you cut both of their times in half and add them together.

Answer:

8 >_ 3 +x

Step-by-step explanation:

X = 5 and any numbers below 5

Answer:

8 ( > or equal to) n + 3

Step-by-step explanation:

I hope this helps :)