what is the equation of the line that passes through the point (8,0) and has a slope of -3/4?

Solution :

Let the revenue be = R

Therefore, R = price x quantity

                  R = (30 - 2x) ( 5000 + 500x)

                     = \(150000 + 5000x - 1000x^2\)

For the maximum revenue,

\($\frac{dR}{dx} = 0$\)

\($-2000x+5000=0$\)

\($x=2.5$\)

\($\frac{d^2R}{dx^2}=-2000<0$\)

At \(x=2.5\), the revenue is maximum.

So the price for the maximum company revenue = \($30-2x$\)

                                                                                  \($=30-2(2.5)$\)

                                                                                  = 30 - 5

                                                                                  = 25

Therefore, the price that will maximize the company's revenue is $25.

Answer:

10

Step-by-step explanation:

I think I hope this helps

Answer: -6, -7

Magnitude = 9.22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Statistical analysis alone may not be sufficient to determine whether to switch to this company. It is important to consider various factors and make an informed decision.

1. The hypotheses based on the words given in the problem are:
- Null hypothesis (H0): The average savings by switching to the new insurance provider is 300 dollars per year.
- Alternative hypothesis (Ha): The average savings by switching to the new insurance provider is not 300 dollars per year.

2. In this case, we should use a T distribution because the population standard deviation is unknown.

3. Our T statistic can be calculated using the formula:
T = (sample mean - population mean) / (sample standard deviation / √n)
Substituting the given values, the T statistic is:
T = (255 - 300) / (150 / √64)

4. The P-value is the probability of obtaining a T statistic as extreme as the one observed (or more extreme) assuming the null hypothesis is true. It can be calculated using a T-table or statistical software.

5. Based on the P-value and alpha (α) level of 0.05, if the P-value is less than 0.05, we reject the null hypothesis. If the P-value is greater than or equal to 0.05, we fail to reject the null hypothesis.

6. Depending on the results, we can decide whether to switch to the new company. If the null hypothesis is rejected, it suggests that the claim made by the insurance provider is false, indicating that customers do not save at least 300 dollars per year by switching.

However, if the null hypothesis is not rejected, we do not have enough evidence to conclude that the claim is false. Other factors beyond statistical analysis, such as reputation, customer reviews, and additional benefits, should also be considered before making a decision to switch.

Overall, statistical analysis alone may not be sufficient to determine whether to switch to this company. It is important to consider various factors and make an informed decision.

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Answer:

21.6 ft

Step-by-step explanation:

Similar Triangles

6/10=B/36

B=21.6

Answer:

Your answer would be 140.855891 or 140.9 rounded.

Step-by-step explanation:

3.86+

0.9876.31+

48.55126+

87.457=

140.855891 or 140.9 rounded to the nearest tenth

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer:

-13

Step-by-step explanation:

See steps below:

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               Hi my lil bunny!

   ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

                 \(\boxed{-13}\)

Let's solve your equation step-by-step.

\(2(3x+6)=3(x-9)\)

Step 1: Simplify both sides of the equation.

\(2(3x+6)=3(x-9)\)

\((2) (3x) + (2) (6) = (3)(^{x}) + (3) (-9)\) (Distribute)

\(6x + 12 = 3x + -27\)

\(6x + 12 = 3x -27\)

Step 2: Subtract 3x from both sides.

\(6x + 12 - 3x = 3x - 27 - 3x\\3x + 12 = -27\)

Step 3: Subtract 12 from both sides.

\(3x + 12 - 12 = -27 - 12\\3x = -39\)

Step 4: Divide both sides by 3.

\(\frac{3x}{3} = \frac{-39}{3}\\x = -13\)

  ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

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        Have a great day/night!

                   ❀*May*❀

Answer:

0

Step-by-step explanation:

m = 3-3/8-(-3)

m = 0/11 = 0

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

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Answer:

y=-2x+5

Step-by-step explanation:

Suppose y=ax+b

(0,5);(1,3)

5=a*0+b;3=a*1+b

so a=-2,b=5

Answer:

Commutative.

Associative property works on symbols instead of signs!

Answer:

associative property

Step-by-step explanation:

[a+b]+(c)=(a)+[b+c]

Answer:

x = 5

y = 3

Step-by-step explanation:

x + 4y = 17

2x + 5y = 25

We multiply the first equation by -2

-2x - 8y = -34

2x + 5y = 25

-3y = -9

y = 3

Now we put 3 in for y and solve for x

x + 4(3) = 17

x + 12 = 17

x = 5

Let's Check the answer

5 + 4(3) = 17

5 + 12 = 17

17 = 17

So, x = 17 and y = 3 is the correct answer.

Answer:

y=4x+2

I know this already i learned this 3 years ago

Answer:

The equation would be y=4x+2

Step-by-step explanation:

The equation of a slope is y=mx+b, with the slope replacing m, and the Y intercept replacing b.

The nth term of the given quadratic sequence is expressed as; aₙ = 2n²

To find the nth term, we have to find the relation between the given terms.

Here we see that;

1st term = 2 = 2 × 1 × 1 = 2 × 1²

2nd term = 8 = 2 × 2 × 2 = 2 × 2²

3rd term = 18 = 2 × 3 × 3 = 2 × 3²

4th term = 32 = 2 × 4 × 4 = 2 × 4²

5th term = 2 × 5² = 2 × 50 = 100

Thus, we clearly see a pattern that can represent the nth term as;

aₙ = 2 × n²

aₙ = 2n²

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Answer:

43.5

Step-by-step explanation:

Hope this helps! Consider Brainiest!

Answer:

43.5

Step-by-step explanation:

15%= 15/100

=0.15 × 290

= 43.5

For regular shapes, add the lengths of the sides, and for irregular shapes, measure each side individually and sum them up. Finally, round the perimeter to the desired level of precision.

To compute the perimeter of a window, here is a different sequence of steps:

1. Identify the shape of the window: Determine if the window has a regular shape, such as a rectangle, square, or circle, or if it has an irregular shape.

2. Measure the sides: If the window is a regular shape, measure the lengths of its sides. For a rectangle or square window, measure the lengths of two adjacent sides. If it's a circular window, measure the radius or diameter.

3. Calculate the perimeter based on the shape:

  - For a rectangle or square window: Add the lengths of all four sides together to obtain the perimeter. If the lengths of the adjacent sides are different, ensure you measure each side accurately.

  - For a circular window: Calculate the circumference using the formula C = 2πr or C = πd, where r is the radius and d is the diameter of the window. If you have the diameter, divide it by 2 to get the radius.

4. If the window has an irregular shape: In this case, measure each side or segment of the window individually. Then, add up the lengths of all the sides to obtain the total perimeter. Make sure to measure each side accurately, taking into account any angles or curves.

5. Round the perimeter: Once you have calculated the total perimeter of the window, round the value to the desired level of precision or decimal places, depending on your requirements.

It's important to note that accurate measurements are crucial for obtaining an accurate perimeter. Ensure that you use appropriate measuring tools and techniques to obtain precise measurements of the window's sides or segments.

In summary, to compute the perimeter of a window, identify its shape, measure the appropriate sides or segments, and calculate the perimeter based on the shape. For regular shapes, add the lengths of the sides, and for irregular shapes, measure each side individually and sum them up. Finally, round the perimeter to the desired level of precision.

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Answer:

the answer is 11.1 minute

Step-by-step explanation:

divide 35600 by 3200

The specific values of these rotation angles will depend on the measurements of the intersecting lines and the lines of reflection.

To determine the resultant rotation angle value from a double reflection over intersecting lines, we need to consider the angles formed by the intersecting lines and the lines of reflection.

The resultant rotation angle value will be equal to the sum of these angles.
Let's denote the first reflection as r₁ and the second reflection as r₂. We'll use acute angles to determine the rotation value.

a) r₁ ∘ r₂ (△def):

The resultant rotation angle value is the sum of the acute angles formed by r₁ and r₂ when applied to △def.
b) r₂ ∘ r₁ (△def):

The resultant rotation angle value is the sum of the acute angles formed by r₂ and r₁ when applied to △def.
c) r₁ ∘ r₂ (δdef):

The resultant rotation angle value is the sum of the acute angles formed by r₁ and r₂ when applied to δdef.
d) r₂ ∘ r₁ (δdef):

The resultant rotation angle value is the sum of the acute angles formed by r₂ and r₁ when applied to δdef.
e) r₁ ∘ m:

The resultant rotation angle value is the sum of the acute angles formed by r₁ and m.
f) r₂ ∘ n:

The resultant rotation angle value is the sum of the acute angles formed by r₂ and n.
Remember, the specific values of these rotation angles will depend on the measurements of the intersecting lines and the lines of reflection.

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The system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of strawberries sold will be x + y = 35 and 2x + 3y = 80.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a total of 35 pounds of apples and strawberries.

Suppose the number of pounds of apples and strawberries is x and y respectively.

If the total of 35 pounds of apples and strawberries as a result,

x + y = 35-------(1)

If each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 then,

2x + 3y = 80---------(2)

Multiply equation 1 by 2 and subtract from equation 2 as

2x + 3y -2(x+y) = 80 - 2(35)

y = 10

Substitute the value of y we get x = 25

As a result, there are 25 pounds of apples and 10 pounds of strawberries in all.

Thus, the system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of strawberries sold will be x + y = 35 and 2x + 3y = 80.

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The two items placed end to end will have a length of 17.13 Inches.

The length of any object will be defined as the distance from one end to the other end of the object.

Now it is given in the question that a pencil of length 15.80 cm is placed on a candle of length 0.303 yards so the total length will be calculated as:

\(\rm Total \ length = length \ of \ pencil+ Length\ of \ candle\)

Length of pencil = 15.80 cm

Length of candle =  \(0.303\ yards=0.303\times 91.44\ cm =27.70\ cm\)

\(\rm Total\ legnth= 15.80+27.70=43.50\ cm\)

Now \(1\ cm =0.397\ inch\)

\(43.50\ cm =43.50 \times 0.394= 17.13\ inches\)

So the length of the two items will be 17.13 inches

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Answer:

Patrick laid a pencil and a candle end-to-end. The pencil is 15.80 centimeters long, the candle is 0.303 yards long. There are 30.48 centimeters in a foot. How many inches long are the two items placed end-to-end?

a.   0.48 in

b.   16.10 in

c.   17.13 in  ~  CORRECT

d.   43.51 in

Step-by-step explanation:

2022 Edge Quiz

Answer:

$48.91

Step-by-step explanation:

100% is 1 so 7% would be 0.07

times $39.75 by 0.07 to get the amount the tax would add which is $2.78

then add the two $39.75 + $2.78 = $42.53

then remove the tip which as we saw earlier convert the 15% to 0.15

times $42.53 by 0.15 to get the amount the tip would add which is $6.38

then add $6.38 to the total amount which would be $48.91

Answer: 22.27 feet or 31.68 feet, depending on which direction they are throwing the ball.

Step-by-step explanation:

Let's call the distance between Simon and Kaylee "x". We can use the Pythagorean theorem to set up two equations based on the given distances:

x^2 + 30^2 = d1^2 (where d1 is the distance between Simon and Whitney)

x^2 + 34^2 = d2^2 (where d2 is the distance between Kaylee and Whitney)

We can solve for d1 and d2 by taking the square root of both sides of each equation:

d1 = sqrt(x^2 + 900)

d2 = sqrt(x^2 + 1156)

Since we know that d1 + d2 = 30 + 34 = 64 feet (the total distance between Simon and Kaylee), we can substitute the expressions for d1 and d2 into this equation:

sqrt(x^2 + 900) + sqrt(x^2 + 1156) = 64

We can square both sides of the equation to eliminate the square roots:

x^2 + 900 + 2sqrt((x^2 + 900)(x^2 + 1156)) + x^2 + 1156 = 4096

Simplifying:

2x^2 + 2056 + 2sqrt((x^2 + 900)(x^2 + 1156)) = 4096

Subtracting 2056 from both sides:

2x^2 + 2sqrt((x^2 + 900)(x^2 + 1156)) = 2040

Dividing both sides by 2:

x^2 + sqrt((x^2 + 900)(x^2 + 1156)) = 1020

Squaring both sides again to eliminate the square root:

x^4 + 2052x^2 + 656100 = 1040400

Simplifying:

x^4 + 2052x^2 - 384300 = 0

This is a quadratic equation in x^2. We can solve for x^2 using the quadratic formula:

x^2 = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 2052, and c = -384300. Plugging in these values:

x^2 = (-2052 ± sqrt(2052^2 - 4(1)(-384300))) / 2(1)

x^2 = (-2052 ± sqrt(9248256)) / 2

x^2 = (-2052 ± 3044) / 2

x^2 = 496 or x^2 = 1004

Taking the positive square root of both sides (since x represents a distance, it must be positive), we get:

x = sqrt(496) or x = sqrt(1004)

x ≈ 22.27 feet or x ≈ 31.68 feet

So the distance between Simon and Kaylee is approximately 22.27 feet or 31.68 feet, depending on which direction they are throwing the ball.

Answer:

16 feet

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(30^{2}\) + \(b^{2}\) = \(34^{2}\)

900 + \(b^{2}\) = 1156

900 - 900 + \(b^{2}\) = 1156 - 900

\(b^{2}\) = 256

\(\sqrt{b^{2} }\) = \(\sqrt{256}\)

b = 16

Helping in the name of Jesus.

Answer:

-8/9

Step-by-step explanation:

my work is in the picture above. lmk if you'd like me to explain more

The slope of line [n] would be -8/9.

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

We have line [m] passes through points (10, 10) and (2, 1).

We can write the equation of line [m] as follows.

slope of line [m] = a = (1 - 10)/(2 - 10) = -9/-8 = 9/8

a = 9/8

slope of line [n] -

m[n] x a = - 1

m[n] = -1/a

m[n] = -8/9

Therefore, the slope of line [n] would be -8/9.

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Answer:

a

Step-by-step explanation:

The answer of the given question based on the speed is the tip of the man's shadow is moving away from him at a rate of 1.6 feet per second when he is 21 feet from the pole.

Distance is the measure of the amount of space between two points. It is a scalar quantity, which means it has only magnitude and no direction. Distance can be measured using different units like meters, kilometers, miles, feet, etc.

Let's call the distance between the man and the base of the pole "x". We know that the height of the pole is 20 feet and the height of the man is 6 feet. Therefore, the length of the man's shadow is (20+6) = 26 feet.

We can set up a proportion to relate the length of the man's shadow to his distance from the pole:

(Length of shadow) / (Distance from pole) = (Height of pole) / (Distance from pole + Height of man)

Or, in equation form:

26 / (x + 21) = 20 / x

To solve for x, we can cross-multiply and simplify:

26x = 20(x + 21)

26x = 20x + 420

6x = 420

x = 70

So when the man is 21 feet from the pole, the distance between the base of the pole and the man is x+21 = 91 feet.

we can set up the following proportion:

(Length of shadow) / (Distance from pole) = (Length of shadow + Rate of change of shadow * Time) / (Distance from pole + Rate of change of distance * Time)

Plugging in values  ,we will get:

26 / 91 = (26 + ut) / (91 + 5.4t)

Now we can solve for u by differentiating both sides of the equation with respect to time:

(d/dt)(26/91) = (d/dt)((26+ut)/(91+5.4t))

0 = u/(91+5.4t) - (26+ut)/(91+5.4*t)² * 5.4

Simplifying and solving for u, we get:

u = -265.4/(91+5.4t) + 5.4²t/(91+5.4t)

Now we can plug in t = 0 (when the man is 21 feet from the pole) to get the instantaneous rate of change of the length of his shadow:

u = -265.4/91 + 5.4²⁰/⁹¹

u = -1.6

Therefore, the tip of the man's shadow is moving away from him at a rate of 1.6 feet per second when he is 21 feet from the pole.

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The tip of the man's shadow is moving at a rate of 18 ft/sec when he is 21 ft from the pole.

what is the triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Let's call the distance between the man and the base of the pole "x", and the length of his shadow "y". We want to find the rate of change of y with respect to time (dy/dt) when x = 21 ft.

we can see that the triangles formed by the man, the pole, and the tip of the shadow are similar. This means that the ratio of the lengths of the corresponding sides is constant:

y / (20 + 6) = y / 26 = (y - h) / 20

where h is the height of the man's head above the ground (which we can ignore for this problem).

Simplifying this equation, we get:

y = (20/6) * (y - h)

y = (10/3) * (y - h)

3y = 10y - 10h

10h = 7y

h = (7/10) * y

Now we can use the chain rule to find dy/dt:

y^2 = x * (x + y)

Differentiating both sides with respect to time, we get:

2y * (dy/dt) = (dx/dt) * (x + y) + x * (dy/dt)

Plugging in the values we know:

y = (7/10) * ym (where ym is the height of the man's head)

x = 21 ft

dx/dt = 5.4 ft/sec

We can solve for dy/dt:

2y * (dy/dt) = (5.4) * (21 + y) + 21 * (dy/dt)

2y * (dy/dt - dy/dt/3) = (5.4) * 21

dy/dt = (5.4) * 21 / (2y - y/3)

At x = 21 ft, y = (10/3) * (21 - 6) = 50/3 ft.

Substituting this value, we get:

dy/dt = (5.4) * 21 / (2(50/3) - (50/3)/3) = 18 ft/sec

Therefore, the tip of the man's shadow is moving at a rate of 18 ft/sec when he is 21 ft from the pole.

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Answer:

-17=x-15 +15

-2=x

Step-by-step explanation:

prove me wrong

-17 = x - 15

Move -15 over to -17, it becomes a positive.

15 - 17 = x

15 - 17 = -2

x = -2

Answer:

165 bike

110 bus

Step-by-step explanation: