Answer the question please

i cant understand your question define briefly

Given:

A line intersects the x - axis at (-7, 0) and has slope of 5/3.

Let A be the point (-4, -2) and B be the point (x, y).

To find: The coordinates of B such that ∠A B x = 90°.

We know that, if a line is intersecting x-axis at (-7, 0) and has a slope of 5/3, then its equation is

y = mx + c where m is the slope and c is the y-intercept.

So, the equation of the given line will be: y = (5/3) x + b

Now, this line intersects the x-axis at (-7, 0), so we can put these values into the above equation to find the value of b.

0 = (5/3) (-7) + b

0 = -35/3 + b

b = 35/3

So, the equation of the given line is: y = (5/3) x + 35/3

We have to find the coordinates of point B such that ∠ABx = 90°.

It means, AB is perpendicular to x-axis and has slope of 0.

So, we can use the point-slope form of equation to find the equation of line AB that passes through point A(-4, -2) with 0 slope.

y - (-2) = 0(x - (-4))y + 2

= 0(x + 4)y = -2

Now, this line will intersect the given line at point B, so we can put the value of y from equation (2) into equation (1).

-2 = (5/3) x + 35/3(5/3) x

= -41/3x

= (-41/3) (3/5)

= -41/5

Now, we have the x-coordinate of point B as -41/5. To find the y-coordinate of point B, we can use equation (2).

y = -2

So, the coordinates of point B are (-41/5, -2).

We are given a line that intersects the x-axis at (-7, 0) and has a slope of 5/3. We are also given two points A and B and we have to find the coordinates of point B such that ∠ABx = 90°.

To solve the problem, we first found the equation of the given line using its slope and a point (-7, 0) that lies on it. Then, we found the equation of line AB that passes through point A(-4, -2) and has 0 slope because AB is perpendicular to x-axis. This line intersects the given line at point B. So, we put the value of y from equation (2) into equation (1) to find the x-coordinate of point B and then we used equation (2) to find the y-coordinate of point B.The coordinates of point B are (-41/5, -2).

Therefore, the solution of the given problem is completed. Thus, we have found the coordinates of point B such that ∠ABx = 90°, which is (-41/5, -2).

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Answer:

ABCD has congruent diagonals.

ABCD is a rhombus.

ABCD has four congruent angles

Step-by-step explanation:

The following statements would be considered true

1. The quadrilateral ABCD could have the congruent diagonals as the diagonals are perpendicular

2. ABCD would be treated as the rhombus as it is a  regular quadrilateral

3. ANd, It Have the four congruent angles that means the four angles be 90 degrees

The other statements would be false.

Answer:

A,B,E

Step-by-step explanation:

Edge 2021

7.

From the diagram, we can conclude:

Therefore:

Add like terms:

Solve for x:

----------------------------------------------------------------------------------------------

8-9

From the diagram we can conclude:

So:

Therefore:

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

There are a total of 5! (5 factorial) ways to arrange 5 different flowers in a circle. However, since the arrangement is in a circle, we need to divide by the number of flowers to account for rotational symmetry.

So the formula for the number of ways to arrange n different flowers in a circle is:

(n-1)!

Plugging in 5 for n, we get:

(5-1)! = 4! = 4 × 3 × 2 × 1 = 24

Therefore, there are 24 different ways to plant 5 different flowers in a circle.

I hope this helps! Let me know if you have any further questions.

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Answer:

$14,850

Step-by-step explanation:

If the factory can sell 225 bottles each hour, then for a 12 hour shift, 225 * 12 = 2,700 bottles sold. 5.50 * 2,700 = 14,850, so the factory makes $14,850.

Therefore, the system of inequalities representing the situation is:

x + y ≥ 8

2.50x + 4.00y ≤ 30

Let's define the variables to set up the system of inequalities:

Let x be the number of postcard books.

Let y be the number of magnets.

The given information can be translated into the following inequalities:

1. she needs to buy souvenirs for at least eight friends

x+ y  ≥ 8

2. The total cost of postcard books (2.50x) and magnets (4.00y) should be less than or equal to $30:

2.50x + 4.00y ≤ 30

Therefore, the system of inequalities representing the situation is:

x + y ≥ 8

2.50x + 4.00y ≤ 30

These inequalities ensure that Shandra buys at least eight postcard books and keeps the total cost within the given budget.

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Answer:

If you need to evaluate the equation, the answer would be x=19/16.

Step-by-step explanation:

now, we're assuming a 90° clockwise rotation.  Check the picture below.

The correct answer is h(t) = 14.25 + 0.25 * sin((π/26) * t)

To model the hours of daylight in a year using a sinusoidal equation, we can consider the average length of daylight, the amplitude of the variation, and the period of the function.

Given:

Summer solstice (longest day) is 14.5 hours

Winter solstice (longest night) is 14 hours

Let's analyze the information:

Average daylight: The average daylight throughout the year would be the average of the summer and winter solstices. It can be calculated as:

Average daylight = (14.5 + 14) / 2 = 14.25 hours

Amplitude: The difference between the average daylight and the longest day or night is the amplitude. In this case, the amplitude is half the difference between the summer and winter solstices. It can be calculated as:

Amplitude = (14.5 - 14) / 2 = 0.25 hours

Period: We are modeling the function over a year, which we'll consider as 52 weeks. Since we want to measure time in weeks (t), the period of the function is 52 weeks.

Putting all the information together, we can write the sinusoidal equation:

h(t) = Average daylight + Amplitude * sin((2π / Period) * t)

Substituting the values we calculated:

h(t) = 14.25 + 0.25 * sin((2π / 52) * t)

Simplifying further, the sinusoidal equation modeling the hours of daylight in a year is:

h(t) = 14.25 + 0.25 * sin(π/26 * t)

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Answer:

The answer is t.

Step-by-step explanation:

We need to find the sum of opposite of - 10t and t - 10t.

Opposite of -10t = 10 t

So,

10t + (t-10t)

Grouping the numbers,

(10t+(-10t)) + t

= 0 + t

= t

Hence, the answer is t.

To estimate the number of eighth-grader students in your school who find it relaxing to listen to music, you consider two samples.Fifteen randomly selected members of the band and every fifth student whose name appears on an alphabetical list of eighth-grade students.

The work for this estimation is as follows:Sample 1: Fifteen randomly selected members of the band.If the band is a representative sample of eighth-grade students, we can use this sample to estimate the proportion of students who find it relaxing to listen to music.

We select fifteen randomly selected members of the band and find that ten of them find it relaxing to listen to music. Therefore, the estimated proportion of eighth-grader students in your school who find it relaxing to listen to music is: 10/15 = 2/3 ≈ 0.67.Sample 2: Every fifth student whose name appears on an alphabetical list of eighth-grade students.Using this sample, we take every fifth student whose name appears on an alphabetical list of eighth-grade students and ask them if they find it relaxing to listen to music.

We continue until we have asked thirty students. If there are N students in the eighth grade, the total number of students whose names appear on an alphabetical list of eighth-grade students is also N. If we select every fifth student, we will ask N/5 students.

we need N/5 ≥ 30, so N ≥ 150. If N = 150, then we will ask thirty students and get an estimate of the proportion of students who find it relaxing to listen to music.To find out how many students we need to select, we have to calculate the interval between every fifth student on an alphabetical list of eighth-grade students,

which is: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150

We select students numbered 5, 10, 15, 20, 25, and 30 and find that three of them find it relaxing to listen to music. Therefore, the estimated proportion of eighth-grader students in your school who find it relaxing to listen to music is: 3/30 = 1/10 = 0.10 or 10%.Thus, we can estimate that the proportion of eighth-grader students in your school who find it relaxing to listen to music is between 10% and 67%.

To estimate the number of eighth-grade students who find it relaxing to listen to music, you can use two sampling methods: sampling from the band members and sampling from an alphabetical list of eighth-grade students.

Sampling from the Band Members:

Selecting fifteen randomly selected members of the band would give you a sample of band members who find it relaxing to listen to music. You can survey these band members and determine the proportion of them who find it relaxing to listen to music. Then, you can use this proportion to estimate the number of band members in the entire eighth-grade population who find it relaxing to listen to music.

Sampling from an Alphabetical List:

Every fifth student whose name appears on an alphabetical list of eighth-grade students can also be sampled. By selecting every fifth student, you can ensure a random selection across the entire population. Surveying these selected students and determining the proportion of those who find it relaxing to listen to music will allow you to estimate the overall proportion of eighth-grade students who find it relaxing to listen to music.

Both sampling methods can provide estimates of the proportion of eighth-grade students who find it relaxing to listen to music. It is recommended to use a combination of these methods to obtain a more comprehensive and accurate estimate.

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Answer:

9

Step-by-step explanation:

Answer:

\(\displaystyle \large{\sum_{n=1}^\infty 6\left(\dfrac{1}{3}\right)^{n-1} = \dfrac{6}{1-\dfrac{1}{3}}}\)

Step-by-step explanation:

The given summation is infinite geometric series as it’s shown an exponent which geometric series/sequence has.

Let’s review partial geometric series formula:

\(\displaystyle \large{S_n=\dfrac{a_1(1-r^n)}{1-r}}\)

When we input the limit as n approaches infinity:

\(\displaystyle \large{\lim_{n\to \infty} S_n = \lim_{n\to \infty} \dfrac{a_1(1-r^n)}{1-r}}\)

Consider each intervals.

( 1 ) When |r| > 1

Since |r| is greater than 1, it’s defined to approach infinity. Since it approaches infinity then we can say that the series diverges to infinity.

( 2 ) When r = 1

For r = 1, the equation for partial sum is S = na where a is first term and n is number of first term. For r = 1, the sum will continue to grow and will eventually approaches infinity. Henceforth, the series diverges.

( 3 ) When r ≤ -1

In this interval, the series oscillates which is defined to be divergent. Hence, the series diverges.

( 4 ) When |r| < 1

In this interval, \(\displaystyle \large{r^n}\) will approach 0 as accorded to exponential graph.

\(\displaystyle \large{\lim_{n\to \infty} S_n = \lim_{n\to \infty} \dfrac{a_1(1-0)}{1-r}}\)

Hence, for |r| < 1, the geometric series will converge to:

\(\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}\)

We can also write in summation notation form as:

\(\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}\)

Therefore, from the given problem, it’s fortunately that the series is already in the same pattern as formula. Therefore, we simply apply the formula in.

\(\displaystyle \large{\sum_{n=1}^\infty 6\left(\dfrac{1}{3}\right)^{n-1} = \dfrac{6}{1-\dfrac{1}{3}}}\)

Therefore, the answer is third choice! Please let me know if you have any questions!

Answers:

Note: your teacher may want you to type in a positive value for r

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

Explanation:

The given equation y = 8(1-0.15)^t is in the form y = a(1+r)^t

We have a = 8 as the initial value, or what we start with.

r = -0.15 converts to -15%, so we have a decay of 15%

Plug in t = 3 to find the corresponding value of y

y = 8(1-0.15)^t

y = 8(1-0.15)^3

y = 8(0.85)^3

y = 8(0.614125)

y = 4.913

y = 4.9

Answer:

a = 8

r = 85%

y = 4.913

Step-by-step explanation:

For a, the exponential decay function is y=a*r^t. In order to find the initial amount, you are solving for when t = 0 or, y(0). Thus, t, or time, is 0. Solve the equation with time of 0.

y = 8(1-0.15)^0 = 8*1 (anything to the 0 power equals 1)

a = 8 is the initial amount

In order to solve for r, you need to solve (1 - 0.15) = 0.85. Now, multiply by 100 to get the percent 100 * 0.85 = 85%

Lastly, when t = 3 solve the equation filling in the exponent, t with 3 like below:

y = 8(1-0.15)^3 (PEMDAS; parenthesis and exponents first)

y = 8(0.85)^3 = 8*(0.614125)

y = 4.913

Answer:

the statement is false

Step-by-step explanation:

\(18x - 12 = 3(6x - 12) \\ 18x - 12 = 18x - 36 \\ \)

\( - 12 = - 36\)

Answer: if you need me to combine, its x6+y3. if not, say please

Step-by-step explanation:

The double points of the following conic section x' + 4xy + 3y - 2xz - 4yz + 2 = 0 is  x = 1, y = 0, z = 1

The equation that represents double points of the conic section x" + 2xy + y - 8xz - 8yz + 16 = 0 is x + y - 4z = 0

The equation of the tangent line at point P(2,0) is x - 2y - 2z = 0

The first question asks to calculate the double points of a given conic section. The conic section is represented by the equation:

x' + 4xy + 3y - 2xz - 4yz + 2 = 0

To find the double points, we need to solve the equation for the variables x, y, and z. The solution is:

x = 1, y = 0, z = 1

These values represent the double points of the conic section.

In the second question, we are again asked to calculate the double points of a conic section. The equation is:

x" + 2xy + y - 8xz - 8yz + 16 = 0

To find the double points, we need to solve the equation for the variables x, y, and z. The solution is:

x + y - 4z = 0

This equation represents the double points of the conic section.

Finally, in the third question, we are asked to calculate the tangent line at the point P(2,0) of a conic section. The equation of the conic section is:

x - 4xy - y' + 2x - 4y - 8 = 0

To find the tangent line at point P(2,0), we need to differentiate the equation with respect to x. The derivative is:

1 - 4y + 2 - 4 = -2 - 4y

At point P(2,0), the value of y is 0. Plugging in this value, we get:

-2 - 4(0) = -2

Therefore, the equation of the tangent line at point P(2,0) is:

x - 2y - 2z = 0

This equation represents the tangent line at point P(2,0) of the conic section.


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the volume is 5663.24436

Given that 22+2 de 23+3.2-92-27We begin by factoring the denominator of the rational function: 23+32-92-27-(2-a)(0-1) for ab.

We can write the given function as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27)To find the values of A, B, and C, we need to take the common denominator which is (x - 2)(x + 3)(x - 9)(x + 27)A

= 2(x + 3)(x - 9)(x + 27) + 2(x - 2)(x - 9)(x + 27)

= 50x³ + 5350x² + 41325x + 52590B

= 3(x - 2)(x - 9)(x + 27) - 9(x + 3)(x - 2)(x + 27)

= - 44x³ - 2919x² - 405x - 972C

= (x - 2)(x + 3)(x - 9) + 3(x - 2)(x + 27) - 9(x - 9)(x + 27)

= - 6x³ - 27x² + 1107x + 972.

The partial fraction decomposition is given as:2 + 2/(x - 2) + 3/(x + 3) - 9/(x - 9) - 27/(x + 27) = (25/35)/(x - 2) + (-11/6)/(x + 3) + (11/38)/(x - 9) + (- 1/2)/(x + 27) Now, we can integrate it as follows: ∫(25/35)/(x - 2)dx + ∫(-11/6)/(x + 3)dx + ∫(11/38)/(x - 9)dx + ∫(-1/2)/(x + 27)dx= 25/35 ln│x - 2│ - 11/6 ln│x + 3│ + 11/38 ln│x - 9│ - 1/2 ln│x + 27│ + c

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Answer:

The answer is 5

Step-by-step explanation:

ut would be nice if you ask the maker of brainly:-)

Answer:

3.3%

Step-by-step explanation:

compound interest: A = Pe^(rt)

A = 534.46

P = 450

t = 5

534.46/450 = e^(5r)

e^(5r) = 1.18

lne^(5r) = ln 1.18

(5r)lne = ln1.18

ln1.18 = 5r

5r = 0.165

r = 0.033

or 3.3%

The limit involving approaching infinity is a concept in calculus that deals with finding the value of a function as the input approaches infinity. The notation is written as lim f(x) x→∞, and it helps in understanding the behavior of a function at very large input values.

The limit involving approaching infinity, limf(x) x → infinity, is the value that a function f(x) approaches as x becomes infinitely large. This type of limit is used to describe the long-term behavior of a function, as x approaches infinity.

The limit can be evaluated by examining the function's behavior as x approaches infinity. If the function approaches a finite value, then the limit exists and is equal to that value. If the function approaches infinity or negative infinity, then the limit does not exist.

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--The given question is incomplete, the complete question is given

" What does the statement mean limits involving approaching infinity: limf(x) x-->infinity "--

Answer:

Hmmm I'm sorry but I don't know the answer to this one. Keep trying I know you can do it!

Based on the unit rate, the recipe that has the highest amount of flour per serving is: recipe A.

Unit rate between variables x and y, is calculated as k = y/x. "k" is the constant of proportionality or unit rate which is the amount of y per x.

Amount of flour = y

Servings = x

To find which recipe has the greatest amount of flour per serving, find the unit rate of each of the recipe for amount of flour per serving.

Unit rate for recipe A:

Amount of flour = y = 28

Servings = x = 14

Unit rate = 28/14 = 2 ounces of flour per serving.

Unit rate for recipe B:

Amount of flour = y = 9

Servings = x = 12

Unit rate = 9/12 = 0.75 ounce of flour per serving.

Unit rate for recipe C is: 1.3 ounce of flour per serving.

Therefore, based on the unit rate, the recipe that has the highest amount of flour per serving is: recipe A.

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Given the number:

0.0002077​

Let's express in scientific notation.

To express the number in scientific notation, move the decimal point so that there is only one non-zero number to the left of the decimal point.

Then, the number of decimal places you move will be the exponent on 10.

If the decimal point is moved to the right, the exponent will be negative.

If the decimal pointt is moved to the left, the exponent will be positive.

In this case the decimal point will be moved to the right.

Using this description, we have the scientific notation below:

Answer:

2.077 x \(10^{-4}\)

Step-by-step explanation:

First, move the decimal place until we have a single digit between 1 and 10 to the left of the decimal point. In this problem, if we keep moving the decimal point to the right in 0.0002077 we will get 2.077.

Next, count how many places we moved the decimal point. If we have to move the decimal place to the right, the exponent will be negative.  If we had moved the decimal place to the left, the exponent would be positive.  In this case we had to move it 4 places to the right to change 0002077 to 2.077. We show that we moved it 4 places to the right by noting that the number should be multiplied by \(10^{-4}\).

Therefore, if c1 is a changing cell and ROUND(c1) is used in a formula, the resulting function will be non-linear and the statement is false.

This statement is not true. The ROUND function is not a linear function. A linear function is a function that has a constant rate of change, meaning that the change in the output is proportional to the change in the input. However, the ROUND function is a non-linear function because the change in the output is not proportional to the change in the input.

The ROUND function takes a numeric value as input and returns the value rounded to a specified number of decimal places. The output of the ROUND function changes in a step-wise manner as the input value crosses a threshold, which is determined by the number of decimal places specified. This step-wise change is a characteristic of a non-linear function.

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