Write an equation of the line that passes through the point (8, -1) and is perpendicular to the line pictured.
A) y = 4x
B) y = 4x + 1
C) y = -1/4x
D) y = -1/4x + 1

It looks like the sequence might be

\(a_n = \dfrac{e^n + e^{-n}}{e^{2n - 3}}\)

which we can simplify by dividing through by \(e^n\) to get

\(a_n = \dfrac{1 + e^{-2n}}{e^{n - 3}} = \dfrac1{e^{n-3}} + \dfrac1{e^{3n - 3}}\)

As \(n\to\infty\), both terms, and hence the given sequence will converge to 0.

Step-by-step explanation:

10x-12 is the equation form

The probability of you running into a Mankey Pokemon and then a Pidgey Pokemonis 4/27.

Answer:

there is a 3 in 9 percent chance you can find a manky

Step-by-step explanation:

i say pidgey is better pedgiot is cool and very usefull and pidgey can help you in the vridian foreast becasue of all the bug types

When moving from a 95% confidence interval to a 90% confidence interval, the width of the interval will decrease. (option b).

To understand this, let's consider a simple example. Suppose we want to estimate the mean height of all high school students in a particular region. We take a sample of 100 students and calculate the mean height to be 65 inches, with a 95% confidence interval of (63, 67) inches. This means that if we were to repeat this process many times, we would expect the true population mean height to be within this interval 95% of the time.

Now, if we were to calculate a 90% confidence interval instead, we would obtain a narrower interval because we are now willing to accept a greater risk of being wrong.

It is important to note that the width of the confidence interval depends on the sample size and the variability of the data.

As the sample size increases or the variability decreases, the confidence interval will become narrower. Conversely, as the sample size decreases or the variability increases, the confidence interval will become wider.

Hence the correct option is (b)

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d. It is impossible to determine how the Gini coefficient will change as it will depend on the original income distribution.

The Gini coefficient is a measure of income inequality in a society. It takes into account the entire income distribution, not just the average or total increase in income. The change in the Gini coefficient depends on how the income increase is distributed among different income groups.

If the income increase is distributed equally among all households, then the Gini coefficient would stay the same because the relative income differences between households remain unchanged. However, if the income increase is concentrated among higher-income households, it is likely that the Gini coefficient would increase, indicating a higher level of income inequality.

On the other hand, if the income increase is disproportionately distributed to lower-income households, it is possible for the Gini coefficient to decrease, indicating a reduction in income inequality.

Therefore, without knowing the initial income distribution and how the income increase is distributed across households, it is impossible to determine how the Gini coefficient will change over the 10-year period.

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Answer:

yes

Step-by-step explanation:

y = 79x - -37

37 = 79(0) - - 37

37 = 0 - - 37

37 = 37

Answer:

A is the right answer

Step-by-step explanation:

It has the right definition for a function. Can't explain it much better than that...

Answer:36.33333333 but rounded it is basically 36

Step-by-step explanation:

what you have to do is 327 divided by 9 then you get your answer then round

No, a Norman window is not a semicircle above a rectangular window.

A Norman window, also known as a "Normandy window" or "Romanesque window," is a specific architectural feature that consists of a rounded arch at the top with a rectangular opening below it. It is characterized by its combination of curved and rectangular elements.

The top portion of a Norman window is indeed a semicircular arch, which reflects the influence of Romanesque architectural styles. The arch is typically constructed using stone or other masonry materials and adds a sense of grandeur and elegance to the window design.

The semicircular arch can vary in size and may feature intricate detailing or decorative elements.

Below the semicircular arch, a rectangular opening is incorporated, which is the main area for letting in light. The rectangular section is usually wider than the arch and can be divided into smaller sections by mullions or transoms.

The rectangular shape of the lower portion provides a practical and functional space for placing glass panes or other materials.

Overall, the combination of the semicircular arch and rectangular opening in a Norman window creates a visually appealing and harmonious design. It is a distinctive feature commonly found in architectural styles inspired by Romanesque and Norman traditions.

In summary, a Norman window consists of a semicircular arch at the top and a rectangular opening below it, rather than a semicircle above a rectangular window.

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Answer:

1,4,9,25,36,49,64,81,100,121,144

Question: What numbers make up the perfect squares

Answer:  

A perfect square is a number that can be expressed as the product of two equal integers.

Step-by-step explanation:

9 9 is a perfect square because it can be expressed as 3 * 3 (the product of two equal integers) 16 16 is a perfect square because it can be expressed as 4 * 4 (the product of two equal integers)

Answer:

x-12

Explanation:

I thought about it, and just flipped the numbers. I use an online grading system to check it, so I am pretty confident I am correct.

Answer:

Step-by-step explanation:

x-12, if x > 12

0, if x = 12

12-x, if x < 12

Answer:

A. Red/Line C

Step-by-step explanation:

Answer: \(x=5\)

Step-by-step explanation:

Because the \(x\) coordinate of both of the points is 5, the equation is \(x=5\).

Answer:

$78 to plant 3/5 an acre of corn

Step-by-step explanation:

you can set up a fraction. 

520/4 = x/6

Cross multiply

312 = 4x

Divide both sides by 4 equal to

x=78

$78 to plant 3/5 an acre of corn

The sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14 would be \(12 + 14 = 26\) units.

In a triangle, the lengths of the two longest altitudes are equal to the lengths of the corresponding sides.

The sides in two different forms or polygons that are in the same position are said to have corresponding sides.

The two polygons have the same size and shape if they are congruent.

Congruence exists between the corresponding sides and angles.

So, the sum of the lengths of the two longest altitudes in a triangle with sides 8, 12, and 14 would be \(12 + 14 = 26\) units.

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The sum of the lengths of the two longest altitudes in the triangle with sides 8, 12, and 14 is 17 units.

The sum of the lengths of the two longest altitudes in a triangle can be found using the formula:

Sum of altitudes = (a + b + c) / 2

In this case, the sides of the triangle are given as 8, 12, and 14 units.

The longest altitude in a triangle is the altitude drawn from the longest side. So, we need to find the longest side in the given triangle.

To do that, we can arrange the sides in descending order: 14, 12, 8.

Now, we can use the formula to find the sum of the lengths of the two longest altitudes:

Sum of altitudes = (14 + 12 + 8) / 2 = 34 / 2 = 17 units

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Therefore, the number of ways a student can work 7 out of 10 questions on the exam is 120, which corresponds to option (D).

The number of ways a student can work 7 out of 10 questions on an exam can be calculated using the concept of combinations.

The formula for combinations is given by:

C(n, k) = n! / (k!(n - k)!)

Where n is the total number of items and k is the number of items chosen.

In this case, the student is choosing 7 questions out of a total of 10, so we have:

C(10, 7) = 10! / (7!(10 - 7)!) = 10! / (7!3!)

Simplifying:

10! = 10 * 9 * 8 * 7!

3! = 3 * 2 * 1

C(10, 7) = (10 * 9 * 8 * 7!) / (7! * 3 * 2 * 1)

The 7! terms cancel out:

C(10, 7) = (10 * 9 * 8) / (3 * 2 * 1)

C(10, 7) = 120

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Applying the midsegment theorem, the length of segment SR is: 6 units.

The Midsegment theorem states that if a segment is draw to connect the two midpoints of two sides of a triangle together, it is parallel to the third side of the triangle and also has a length measure that is half of the length of the third side of the triangle.

Segment SR is the midsegment of the triangle given and is parallel to the third side, FD.

SR = 2x - 14

FD = x + 2

Therefore:

SR = 1/2(FD) [midsegment theorem]

Substitute

2x - 14 = 1/2(x + 2)

2(2x - 14) = x + 2

4x - 28 = x + 2

4x - x = 28 + 2

3x = 30

x = 30/3

x = 10.

Length of SR = 2x - 14 = 2(10) - 14

Length of SR = 6 units

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Answer:

12 units

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

68% falls between the first standard deviation from the mean.

plus minus two would fall under 95%

Answer:

$4.47

Step-by-step explanation:

You add all of the money up.  That is a lot of adding.  I added it twice and I got 22.35 both times, so hopefully, that total is correct.  To find the average of 5 people, you take the total and divide it by 5

\(\frac{22.35}{5}\)  = 4.47

If the explained sum of squares is 35 and the total sum of squares is 49, then the residual sum of squares is 14.

The total sum of squares is a measure of the total variability in a dataset. It is the sum of the squared differences between the mean of the dataset and each individual data point. The explained sum of squares is the sum of the squared differences between the predicted value of a regression line and the mean of the dataset.

The residual sum of squares is the sum of the squared differences between the predicted value of the regression line and the actual data points. It is the amount of variability in a dataset that is not explained by the regression line.To calculate the residual sum of squares for the given example, we start with the total sum of squares.

The total sum of squares is the sum of the squared differences between the mean of the dataset and each individual data point. The mean of the dataset is calculated by summing all the values and then dividing by the number of data points.

The total sum of squares is then the sum of the squared differences between the mean of the dataset and each individual data point. For the given example, the total sum of squares is 49.

The explained sum of squares is the sum of the squared differences between the predicted value of the regression line and the mean of the dataset. The predicted value of the regression line can be found using the regression equation. The explained sum of squares for the given example is 35.

The RSS is then the difference between the TSS and the explained sum of squares. For the given example, the RSS is 49 - 35 = 14.

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The function that describes the car's distance from little rocks would be option A; y = 45x + 280

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Point 1:

(x, y) = (0, 280)

Since we are told the car's initial position is 280 miles in the time 0 h

Point 2:

(x, y) = (4, 100)

Since we are told the car's final position is 100 miles after 4h.

Let's find the Slope :

m = 45

Now, the equation of the line is:

y = mx + b

y = 45x + 280

Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280

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Answer:

B

Step-by-step explanation:

half × base × height

height × length

Answer: B

Step-by-step explanation:

Triangle)

25 - 7 = 18

\(A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2\)

Rectangle)

\(A=b(h)\\A=7(17) = 119cm^2\)

Total)

\(153+119=272 cm^2\)

Answer:

80% of the fish in the school pond are goldfish.

Step-by-step explanation:

To find the percentage of goldfish in the pond, we need to divide the number of goldfish by the total number of fish and multiply by 100.

percent of goldfish = (number of goldfish / total number of fish) x 100%

So, in this case:

percent of goldfish = (296 / 370) x 100%

percent of goldfish = 0.8 x 100%

percent of goldfish = 80%

Answer: x =  

-1/6 -2

explanation:

I looked it up on Math

way

Answer: x=-2 x=-1/6

Step-by-step explanation: you can use factoring to solve this becuase it is factorable to real numbers. You would want to use quadratic formula is there is an imaginary number or square roots.

(6x+1)(x+2)=0

set them both equal to zero and solve, foil your answer

Answer:

y=-1x+-1

Step-by-step explanation:

the line is on the -1 on the x axis and the y axis

The mathematical word describing  both \(27x\) and \(6x\) in the expression \(27x+6x\) is "addition"

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the terms were \(27x\) and \(6x\) and the expression formed from them is \(27x+6x\)

This means both the terms were added together, as denoted by '+' (called 'plus') sign.

When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.

Thus, the mathematical word describing  both \(27x\) and \(6x\) in the expression \(27x+6x\) is addition"

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Answer:

373248 cm³ of wax

Step-by-step explanation:

If the crayon is 90 millimeters long, how many cubic centimeters of wax is used to make a box of 8 crayons?

1 crayon = 90mm

8 crayons = x

Cross Multiply

x = 8 × 90mm

x = 720mm

Converting to cubic mm

= (720mm)³ = 373248000mm³

Converting to cubic centimeter

1 mm³ = 0.001 cm³

373248000 mm³ = x

Cross Multiply

373248000 × 0.001 cm³

= 373248 cm³ of wax

The volume of a hemisphere with a radius of 44.9 m is approximately 189582.2 cubic meters, rounded to the nearest tenth.

To calculate the volume of a hemisphere, you can use the formula

V = (2/3)πr^3

where V is the volume, π is pi (approximately 3.14), and r is the radius. In this case, r = 44.9 m.

So, (2/3)π(44.9)^3 = 189582.234 cubic meters.

This is the exact volume, but since the question asked for the volume rounded to the nearest tenth, the final answer would be 189582.234 cubic meters. It's worth mentioning that a hemisphere is half of a sphere, thus, the volume of a full sphere with a radius of 44.9 m would be double of this value.

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Answer: \(\frac{4}{3}\)

Step-by-step explanation:

tangent of ∠PLM = \(\frac{opposite}{adjacent} =\frac{4}{3}\)

Answer:

PLM=4/3

Step-by-step explanation: