Please answer :) I will be so happy

Options (B), (C), and (D) are correct.

What is perpendicular lines?

Perpendicular lines are lines that intersect at a right angle, meaning that the angle formed between them is exactly 90 degrees. In other words, if you were to place a square or rectangular object at the point where the two lines intersect, the sides of the object would align perfectly with each line.

In the given figure, we can see that line AB and CD are perpendicular to each other,

So

B) Yes; the two lines appear to intersect at right angles, so the two lines are perpendicular.

C) Yes; vertical and horizontal lines are always perpendicular.

D) Yes; the product of the slopes of the two lines is -1, so by definition, the two lines are perpendicular.

Hence, Options (B), (C), and (D) are correct.

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The discriminant of ggg is negative.

The discriminant is a term used in mathematics to determine the nature of the solutions of a quadratic equation. For a quadratic equation in the form ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac. If the discriminant is negative, it means that the quadratic equation has no real solutions. In the context of ggg, since the discriminant is negative, it indicates that the quadratic equation associated with ggg does not have real solutions. This could imply that ggg is not a quadratic expression or that it represents a quadratic expression with complex solutions.

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What are the possible values (positive, zero, or negative) for the discriminant of the quadratic equation represented by the function g(x)?

The composition of function is g ( x ) f ( x ) = 5x⁴ - 40x

Given data ,

Let the first function be g ( x ) = x³ - 8

Let the second function be h ( x ) = 5x

So, the composition of functions , g(x) x h(x) would be:

(x³ - 8) (5x)

We can distribute the multiplication to get:

5x ( x³ ) - 5x ( 8 )

On simplifying , we get

A = 5x⁴ - 40x

Hence , the result of the operation g(x) x h(x) is 5x⁴ - 40x

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The graph of the given function, g(x) = -5^x + 5, is shown below

From the question, we are to graph the given function.

From the given information,

The given function is

g(x) = -5^x + 5

To graph the function, we will determine some of the points on the line

When x = -2

g(2) = -5^(-2) + 5

g(2) = -1/25 + 5

g(2) = 4 24/25 = 4.96

When x = -1

g(1) = -5^(-1) + 5

g(1) = -1/5 + 5

g(1) = 4 4/5 = 4.8

When x = 0

g(0) = -5^(0) + 5

g(0) = -1 + 5

g(0) = 4

When x = 1

g(1) = -5^(1) + 5

g(1) = -5 + 5

g(1) = 0

When x = 2

g(2) = -5^(2) + 5

g(2) = -25 + 5

g(2) = -20

Using the above points, the graph of the function is shown below.

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Answer:

-3x + y = -14

Step-by-step explanation:

m = 3/1 = 3

1 = 15 + b

b = -14

Y = 3x - 14

-3x + y = -14

To solve the given inequality, first we have to simplify the given inequality.38 < x + 10 After simplification we get, 38 - 10 < x or 28 < x.

The correct option is B.

The given inequality is 38 < 4x + 3 + 7 - 3x. Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. The given inequality is 38 < 4x + 3 + 7 - 3x. To solve the given inequality, we will simplify the given inequality.

Simplify the inequality38 < x + 10  - 4x + 3 + 7 - 3x38 < -x + 20 Combine the like terms on the right side and simplify 38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18. Combine the like terms on the right side and simplify38 + x - 20 < 0 or x + 18 < 0x < -18 + 0 or x < -18.So, the answer is  x > 28. In other words, 28 is less than x and x is greater than 28. Hence, the answer is x > 28.

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After calculating the future value of the current balance, You will still owe $72.97 after one year.

Calculate the future value of the current balance: FV = PV x (1 + r)
Where, FV = Future Value, PV = Present Value (the current balance of $1,000), and r = interest rate of 2% per month.
Thus, FV = 1,000 x (1 + 0.02) = 1,020

Calculate the future value of the annuity payments of $100 per month:
FV = c x ı((1 + y)+ - 1)
Where, c = $100, y = interest rate of 2% per month.
Thus, FV = 100 x ı((1 + 0.02)12 - 1) = 1,246.24

Calculate the future value of the account balance: FV = 1,020 + 1,246.24 = 2,266.24
Finally, calculate the balance at the end of one year:
Balance at the end of one year = Future Value - Annuity Payments

Thus, Balance at the end of one year = 2,266.24 - (12 x 100) = 72.97.

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Answer:

n = -8, 7

Step-by-step explanation:

Your equation is:

\(\displaystyle{n^2+n=56}\)

Arrange the terms in the quadratic expression, ax² + bx + c:

\(\displaystyle{n^2+n-56=0}\)

Factor the expression, thus:

\(\displaystyle{\left(n+8\right)\left(n-7\right)=0}\)

This is because 8n-7n = n (middle term) and 8(-7) = -56 (last term). Then solve like a linear which results in:

\(\displaystyle{n=-8,7}\)

Hello!

\(\sf n^2 + n = 56\\\\n^2 + n - 56 = 0\\\\\\n = \dfrac{-b\±\sqrt{b^2-4ac} }{2a} \\\\\\n = \dfrac{-1\±\sqrt{1^2-4*1*(-56)} }{2*1}\\\\\\n = \dfrac{1\±15}{2} \\\\\\\boxed{\sf n = 7 ~or ~-8 }\)

Answer:   −12+22

Rearrange terms

−2w−5(−4z+2w)+2z

− 2 − 5 ( 2 − 4 ) + 2

Distribute

−2−10+20+2

Combine like terms

-2w -10

-12+20+2

Combine like terms

−12+20+2

−12+22

hope this helps!

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

Below

Step-by-step explanation:

The x-intercepts are the points on the graph where the lines cross the x-axis. This means that whatever the x-intercepts points are, the y's will be 0 :

     (-3,0) and (3,0)

The y-intercept is the point on the graph where the line crosses the y-axis. This means that whatever the y-intercept point is, the x's will be 0 :

     (0,-3)

Hope this helps!

The margin of error is a measure of the precision of the estimate and represents the range within which the true population parameter is likely to lie with a specified level of confidence. The confidence interval is half the width of the margin of error and provides a measure of the certainty of the estimate.

1. Determine the confidence interval: The confidence interval is a range of values that is likely to include the true population parameter with a certain level of confidence. To calculate the confidence interval, we need to know the sample size, sample mean, sample standard deviation, and the desired level of confidence.

2. Calculate the margin of error: The margin of error is a measure of the precision of the estimate. It represents the range of values within which the true population parameter is likely to lie with a specified level of confidence. To calculate the margin of error, we multiply the confidence interval by 2.

3. Interpret the results: The confidence interval and margin of error provide information about the precision and certainty of the estimate. A wider confidence interval indicates lower precision, while a smaller margin of error indicates higher precision. The level of confidence tells us how certain we can be that the true population parameter lies within the given range.

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Answer:

X-intercepts are also called zeros, roots, solutions, or solution sets.

Step-by-step explanation:

The y-intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test, a function can have at most one y-intercept. ) The y-intercept is often referred to with just the y -value.

Answer: the speed of the elevator is 4.6 miles per hour.

Step-by-step explanation:

Given, The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor.

Since 1 hour = 3600 seconds

⇒ 1 second = \(\dfrac{1}{3600}\) hour

⇒ 75 seconds = \(\dfrac{75}{3600}\) hour \(=\dfrac{1}{48}\) hour

1 mile = 5280 feet

1 feet = \(\dfrac{1}{5280}\) mile

506 feet = \(\dfrac{506}{5280}\) miles \(=\dfrac{23}{240}\) miles

Speed = \(\dfrac{Distance}{Time}\)

\(=\dfrac{\dfrac{23}{240}}{\dfrac{1}{48}}\\\\=\dfrac{23\times48}{240}\\\\=\dfrac{23}{5}\\\\=4.6\text{ miles per hour}\)

Hence, the speed of the elevator is 4.6 miles per hour.

Answer:

563$ and me for some change

Step-by-step explanation:

Using the given nonlinear equation e^-2x + 4x² - 36 = 0, with initial guesses x_L = 1 and x_U = 4, and a pre-specified relative error tolerance of 0.001, the approximate solution can be obtained through numerical methods such as the bisection method or the Newton-Raphson method.

The bisection method involves iteratively narrowing down the interval between the initial guesses until the solution is found within the desired tolerance. It divides the interval in half and determines which subinterval contains the root. This process is repeated until the root is approximated within the specified tolerance.

The Newton-Raphson method, on the other hand, uses an initial guess to iteratively update the estimate by employing the derivative of the function. It converges to the root of the equation by successively refining the estimate.

To obtain the final solution, either of these methods can be employed iteratively until the desired relative error tolerance of 0.001 is achieved.

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Since the surface area of this cylinder is \(432\pi \;yd^2\), its diameter is equal to 12 yards.

Mathematically, the surface area (SA) of a cylinder is given by this formula:

\(S.A = 2\pi rh + 2\pi r^2\)

Where:

Given the following data:

Substituting the given parameters into the formula, we have;

\(432\pi = 2\pi r(5r) + 2\pi r^2\\\\432\pi = 2\pi 5r^2 + 2\pi r^2\\\\216=5r^2+r^2\\\\216=6r^2\\\\r^2=36\\\\r=\sqrt{36}\)

r = 6 yards.

For the diameter:

Diamter = 2 x radius

Diamter = 2 x 6

Diameter = 12 yards.

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Answer:

aaa is easy you can pitch the ball

Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have Owen's score in a card game is 6 points away from zero. David's score is the opposite of Owen's and is a positive value.

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = -x

A number cannot be negative and positive at the same time, therefore, Owens score is 6 points away from 0, but in the negative direction of number line. So, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

Therefore, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

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Answer: 36.56

Step-by-step explanation:

To solve the equation, first acknowledge that the radius of the quarter circle shown at the top of the figure is 4 cm, so the rectangle's dimensions are 4 by (10-4) or 4 by 6, meaning the area is 24 cm^2.

Then address the circle, with an area of pi * r^2.

pi * r^2

3.14 *(4)^2

3.14 * 16

50.24

Then, because the figure shows 1/4 of a circle, divide 50.24 by 4.

50.24/4

12.56

Then add 24 to 12.56 to get 36.56.

Hope it helps :) and let me know if you want me to elaborate.

This is the graph you need to answer the question. (This is not the answer)

Help!

The average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.

Given that, the total cost to produce by James shirts is represented by a function, f(x) = 5x²+6.

We are to find the average rate of change of the total cost as his shirt production increases from 10 to 20.

The average rate of change is given by =

f(b) - f(a) / b-a, where a and b are given intervals,

Here, we have, a = 10 and b = 20

f(b) = 5(20)²+6 = 2006

f(a) = 5(10)²+6 = 506

The rate of change =

2006 - 506 / 20-10

= 1500 / 10

= 150

Hence, the average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.

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Answer:

Number of candy = 8 candy canes.

Step-by-step explanation:

Cost per candy = $1.05

Amount paid = $10

Change received = $1.60

Total cost = amount paid - change received

Substituting into the equation, we have;

Total cost = 10 - 1.6

Total cost = 8.4

To find the number of candy purchased;

Number of candy = total cost/cost per candy

Number of candy = 8.4/1.05

Number of candy = 8 candy canes.

Therefore, Molly purchased 8 candy canes.

Answer: the answer is B: f(x) = –2(x – 5)(x – 1)

Step-by-step explanation: i took the test

Answer:ITS A

Step-by-step explanation:

cuz I got it wrong and it showed me the right answer

The range of the given graph is the option B that is [0,10].

We know that,

Time (in minutes) in the x-axis represents the domain of the graph and

Distance (in meters) in the y-axis represents the range of the graph.

We have to find the range of the given graph.

We know that,

Highest value of distance in the graph is 10 meters when the time is 7 seconds.

Also, the smallest value of distance in the graph is 0 meters when the time is 18 seconds.

Hence, the range of the given graph is [0,10] which is the option B.

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Answer:

c) $725

Explanation:

Last year price: $12.50

If increased by 16%, 100% + 16% = 116%

116% * $12.50

$14.5, each student

Total cost for all 50 students

$14.5 * 50

$725

Answer:

1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

given a triangle with 2 sides and the angle between them given, then the area (A) is calculated as

A = \(\frac{1}{2}\) bc sinA

the 2 sides are b = 4, c = 6 and ∠ A = 35° , then

A = \(\frac{1}{2}\) × 4 × 6 × sin35° = 12 × sin35° ≈ 6.9 m² ( to the nearest tenth )

Answer:2

Step-by-step explanation:

Slope = rise/run = (8-2)/(5-2) = 6/3 = 2