Evaluate the following limit. Use IHôpital's Rule when it is convenient and applicable. limx→[infinity]​(√x−8​−√x−2​) limx→[infinity]​(√x−8​−√x−2​)= (Type an exact answer.) Use limit methods to determine which of the two given functions grows faster, or state that they have comparable growth rates. lnx15;lnx Set up the functions as an expression of a limit to determine which grows faster. limx→[infinity]​

The experiment in question is rolling a die. The sample space of the experiment consists of all the possible outcomes or results that can occur when rolling the die.

In this case, the sample space consists of the numbers 1, 2, 3, 4, 5, and 6.

The probability of getting a 1 or a 2 when rolling a die depends on the total number of possible outcomes, which is 6. The probability of getting a 1 or 2 is the number of ways to get a 1 or a 2 divided by the total number of possible outcomes. Therefore, the probability of getting a 1 or 2 is 2/6 or 1/3.

Similarly, the probability of getting a 4 or a 2 when rolling a die is the number of ways to get a 4 or a 2 divided by the total number of possible outcomes, which is also 6. Therefore, the probability of getting a 4 or 2 is 2/6 or 1/3.

Lastly, the probability of getting a 1, 5, or 2 when rolling a die is the number of ways to get a 1, 5, or 2 divided by the total number of possible outcomes, which is 6. The numbers 1, 5, and 2 are three of the six possible outcomes, so the probability of getting one of them is 3/6 or 1/2.

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The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set.

When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.The horizontal axis represents one variable while the vertical axis represents the other. Each point on the graph represents one set of data that corresponds to both variables, with the x-value and y-value corresponding to the respective data points being plotted.Scatterplot versus: A scatter plot has two axes that correspond to two variables. In a scatter plot, we can determine how one variable changes as the other variable changes. The variables on the horizontal and vertical axes of a scatter plot are always continuous.Corresponding: When two sets of data are plotted on a scatter plot, each data point in the two sets has a corresponding point in the other set. When you plot two sets of data on a scatter plot, you should use different colors or symbols for the data points from each set.

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Answer:

2+w greater than 5

Step-by-step explanation:

w=-3

Answer:

\(w = 3\)

Step-by-step explanation:

\(2 + w > 5 \\ w = 5 - 2 \\ w = 3\)

Answer:

18

Step-by-step explanation:

30 + 18 = 48

30 - 18 = 12

Both true, so our solution is correct.

The value of the larger number is 30 and the value of the smaller number is 18.

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.

Given that the sum of two numbers is 48. if the smaller number is subtracted from the larger the difference is 12. The two numbers will be calculated as,

x + y = 48

x - y = 12

________

2x = 60

x = 30

y = 30 - 12

y = 18

Therefore, the value of the larger number is 30 and the value of the smaller number is 18.

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Answer:

5km

Step-by-step explanation:

1/2xbxh

1/2x 2x5= 5

Answer:

5 km.

Step-by-step explanation:

1/2 times base times height.

1/2 times 5 times 2

= 5

Answer:

y = 3/4x-3

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

The y intercept is -3 ( where it crosses the y axis)

The slope is  change in y over change in x

We go up 3 and over to the right 4

The slope is 3/4

y = 3/4x-3

Two triangles are congruent if two pairs of corresponding angles and included sides are congruent.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

In order to prove △ABC ≅ △DBC by SAS. Then the additional information must be given will be

SAS: Two triangles are congruent if two pairs of corresponding sides and included angles are congruent.

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Answer:

39 stones

Step-by-step explanation:

find area of each

paving stone: 2.5*2=5

ground: 30*6.5=195

195/5=39

Answer:

20÷(-10)=-2 is the answer

Answer:

x < 7

Step-by-step explanation:

Answer:

68-x

Step-by-step explanation:

71-x-3=71-3-x=68-x

Answer:

A and E

Step-by-step explanation:

i got the question right

Answer:h = 2((A)/(b1+b2))

Step-by-step explanation:

Answer:  20,40,60,80,100

Step-by-step explanation:

The possible  numbers has be the multiples of 5 and 4 in other words the LCM.

The LCM of 5 and 4 are,

20,40,60, 80,100 ....

The best description of the transformation for the image being projected on the retina is A. A dilation with a scale factor between 0 and - 1 and center at the nodal point.

An mage is inverted and reversed as it passes through the lens of the eye, and is then projected upside down and reversed onto the retina. The process of transforming the image is called "rectification."

In mathematical terms, a dilation would have taken place because the object was shrunken by the eyes at the nodal point. When an object shrinks , then the scale factor is between 0 and 1 but because this image is inverted, the scale factor is between 0 and - 1.

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Answer:

im not sure but I think its 8.3

The linear equation that passes through the points (14, 15) and (20, 24) crosses the y-axis at y = -6.

A general linear equation can be written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope can be written as:

m = (y₂ - y₁)/(x₂ - x₁).

In this case the line passes through (14, 15) and (20, 24) so the slope is:

m = (24 - 15)/(20 - 14) = 9/6 = 3/2

y = (3/2)*x + b

To find the y-intercept we can replace the values of one of the points, like (14, 15)

15 = (3/2)*14 + b

15 = 3*7 + b

15 = 21 + b

15 - 21 = b

-6 = b

The y-intercept is -6.

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The most-preferred, affordable bundle can be found by maximizing the utility function subject to the budget constraint.

To find the most-preferred, affordable bundle, we need to maximize the utility function U(b, c) = b^50 * c^50 subject to the budget constraint. The budget constraint can be expressed as P_b * b + P_c * c = I, where P_b and P_c are the prices of goods b and c respectively, and I is the consumer's income.

In this case, P_b = 6, P_c = 7, and the consumer's income is $84. We can substitute these values into the budget constraint and rearrange it to solve for one variable in terms of the other. For example, we can solve for b in terms of c or vice versa.

Once we have the relationship between b and c, we can substitute it into the utility function and maximize it to find the combination of b and c that gives the highest utility. This will give us the most-preferred bundle that is affordable.

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Answer:

41/3

Step-by-step explanation:

so its looks like you already had the answer down so you should stick to your gut

Answer:

x divided by 75% = y

Step-by-step explanation:

Answer:

0.25x

Step-by-step explanation:

Not what the guy on the top said.

Answer:

x=26

Step-by-step explanation:

the angle is a right angle so

90-37= 53

53-1=51

52/2= 26 thats x?

if you dont understand i can still describe more

The number 16.8 in the equation means the points with which his score will increase in every game.

The stated equation has the constant 16.8 associated with the number of years. The number indicates that the person earns 16.8 additional points after each game. This number adds on to the total score. In other words, it indicates the points by which his score increase per game. Considering the equation, it p = 16.8t + 80.5. Here, p refers to y-axis, 16.8 is the slope and t is the x-axis. The 80.5 is the y-intercept and indicates the starting average per game.

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The functions shown in the table below are exponential functions, will be g(x) and k(x). Then the correct option are B and D.

The complete question is attached below.

Let a is the base and x is the power of the exponent function and b is the y-intercept.

The exponent is given as

y = aˣ + b

Checking for g(x), then we have

g(x) = 5ˣ

Then the function g(x) satisfies all the condition.

Checking for k(x), then we have

k(x) = 4⁻ˣ

Then the function k(x) satisfies all the condition.

Then the correct option are B and D.

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Answer:

627

Step-by-step explanation:

\(5 {}^{4} + 2 = 627\)

The area of the rectangle is 500 cm², which is equivalent to 5000 mm².

To calculate the area of a rectangle, we multiply its length by its width. Let's assume the length of the rectangle is L and the width is W. In this case, the area (A) of the rectangle is given as A = L × W.

Now, we are given the area of the rectangle, which is 500 cm². To convert this to mm², we need to use the conversion factor 1 cm = 10 mm. When dealing with squared units, we square the conversion factor as well. Therefore, 1 cm² = (10 mm)² = 100 mm².

To convert the area from cm² to mm², we multiply the given area by the conversion factor: 500 cm² × 100 mm²/cm² = 50000 mm².

Hence, the area of the rectangle is 500 cm², which is equivalent to 5000 mm² after converting using the dimensional analysis.

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Answer:

81 cm square

Step-by-step explanation:

the answer is 121.5cm^2

Answer:

When  x =  -16, y = -1.

Step-by-step explanation:

Let's plug in y = -1 into this equation

-1 = 1/4x + 3

Now, we need to solve the equation for x. To do so, we want x to be by itself on one side of the equation. We will use inverse operations to get the x by itself. First, subtract 3 from either side to under the +3 on the right side of the equation.

-1 - 3 = 1/4x + 3 - 3

-4 = 1/4x

Next, we will divide by 1/4 to undo the *1/4. Dividing by 1/4 is the same as multiplying by 4, so we will multiply each side by 4.

-4 * 4 = 1/4x * 4

-16 = x

bye now

im tyler

A factor exists a number that completely divides another number.

The factor of x²y³ - 11x²y + 6y² - 66 is (x²y + 6)(y² - 11).

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we exists adding are factors of the product because the product exists divisible by them.

By eliminating the common variables, one may get the components of the equation x²y³ - 11x²y + 6y² - 66.

x²y³ - 11x²y + 6y² - 66

Take out the common from the first two terms.

⇒ x²y(y² - 11) ..........(1)

Take out common in the last two terms.

⇒ 6 (y² - 11) ..........(2)

Adding both the equations, (1) and (2) then

[x²y(y² - 11)] + [6 (y² - 11)] = x²y(y² - 11) + 6(y² - 11)

simplifying the above equation, we get

⇒ (x²y + 6)(y² - 11)

Therefore, the factor of x²y³ - 11x²y + 6y² - 66 is (x²y + 6)(y² - 11).

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Answer:

0.42

Step-by-step explanation:

4.2 * 1/10 = 4.2/10

= 0.42