8x-4y= -56 put in
slope-intercept form

Answer:

5.3 units

Step-by-step explanation:

the height of point p from line MN is 5.3 units

plz give me brainliest

Answer:

Figure 6. A perpendicular bisector constructed for line NO.

Solution

We know from the Perpendicular Bisector Theorem that WZ=WY. We can now set up our equation to solve for x.

WZ=WY

2x+11=4x−5

Subtract 4x from both sides.

−2x+11=−5

Subtract 11 from both sides.

−2x=−16

Divide by −2 on both sides.

x=8

Now that we have our x-value, we can substitute it in to solve for the lengths of the segments.

WZ=2x+11

WZ=2(8)+11

WZ=16+11

WZ=27

WY=4x−5

WY=4(8)−5

WY=32−5

WY=27

You can see here that WZ=WY, which follows the Perpendicular Bisector Theorem. that is help fo

The size of the quantity after 20 years is given by the exponential expression 650 * e^(12).

To model the growth of the quantity over time, we can use the exponential growth formula:

A(t) = A(0) * e^(rt)

Where:

A(t) represents the size of the quantity at time t,

A(0) represents the initial size of the quantity,

e is Euler's number (approximately 2.71828),

r represents the continuous growth rate,

t represents the time elapsed.

In this case, the initial size of the quantity is 650 and the continuous growth rate is 60% per year, which can be expressed as 0.6 in decimal form.

Substituting these values into the formula, we have:

A(t) = 650 * e^(0.6t)

To find the size of the quantity after 20 years, we substitute t = 20 into the function:

A(20) = 650 * e^(0.6 * 20)

Simplifying the expression, we have:

A(20) = 650 * e^(12)

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Answer:

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

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer:

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

Use the sum of the first n terms formula:

We are given:

First, let's find n using the nth term formula:

Now, we can find the sum using the formula:

The sum of the geometric series is 186.

The first option is correct. The series of transformations that would result in an image being similar but not congruent to its preimage is reflection over the x-axis, reflection over the y-axis, and translation up 3.

The state of being in agreement or concord is referred to as congruency. It is a notion that is employed in many fields of life, including mathematics, psychology, and philosophy. Congruency is the belief that in order for an idea, system, or process to be effective, all of its components must agree with each other.

Reflection along the x-axis: This transformation includes reflecting the shape along an imaginary line drawn across the coordinate plane's origin. This produces a mirror copy of the original shape, with the left side of the shape mirrored to the right side and the right side of the shape reflected to the left.

Reflection along the y-axis: This transformation includes reflecting the shape along an imaginary line drawn across the coordinate plane's origin. This produces a mirror copy of the original shape, with the top side of the shape reflecting to the bottom side and the bottom side of the shape reflecting to the top side.

Translation up 3: In this transformation, the shape is moved up by a given number of units. The form will be pushed forward three units without affecting its size or orientation as a result of this.

Reflection over the x-axis, reflection over the y-axis, reflection over the x-axis: This transformation requires reflecting the shape twice across an imaginary line drawn through the coordinate plane's origin. This produces a mirror copy of the original shape, with the left side of the shape mirrored to the right side and the right side of the shape reflected to the left.

Dilation by a scale factor of 3: This modification enlarges or contracts the shape by a certain scale factor. This causes the form to be three times larger or smaller than it was before, without affecting its orientation.

180° anticlockwise rotation: This transformation includes rotating the shape by a given amount. This will spin the form 180° anticlockwise without affecting its size or orientation.

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The approximate volume of the solid created by rotating the region under the curve y = sin(x) on the interval [0, π] around the x-axis is approximately 2.094 cubic units.

To find the volume of the solid, we can use the disk method. Considering a small segment on the x-axis between x and x + Δx, the corresponding slice of the solid can be approximated as a disk with radius y = sin(x) and thickness Δx. The volume of this disk is given by V = π * (sin(x))^2 * Δx.

To find the total volume of the solid, we need to sum up the volumes of all the disks. We can do this by taking the limit as the thickness Δx approaches zero and integrating over the interval [0, π]. Thus, the volume can be calculated as V = ∫[0, π] π * (sin(x))^2 dx.

Using a calculator or integration software, we can evaluate this definite integral. The result is approximately 2.094 cubic units. Therefore, the approximate volume of the solid created by rotating the region under the curve y = sin(x) on the interval [0, π] around the x-axis is approximately 2.094 cubic units.

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30

Explanation:

5×6=30

3×10=30

hope this helps...I just looked it up and this is what I found

Answer:

you multiple 5 with 3 and 3 with 5

3×5=15

5×3=15

that will give

3/15= 2/15

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:

33 I hope this helps good luck with the answer

An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

the volume of the cylinder is 572.27 cm³

Given:

radius of the cylinder = 4.5cm

height = 9cm

To get the volume of the cylinder, we will use the formula:

To the nearest hundredth, the volume of the cylinder is 572.27 cm³

The value that represents the vertical translation from the graph of the parent function is 3.

What is translation?

A translation is a geometric transformation when each point in a figure, shape, or space is moved in a specific direction by the same amount. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Here, we have

Given: function f(x) = x² , g(x)=(x+5)²+3

We have to find the value that the vertical translation from the graph of the parent function f(x) to the graph of the function g(x).

function

We apply the following function transformations:

Horizontal translations:

Suppose that h> 0

To graph y = f (x + h), move the graph of h units to the left:

For h = 5, we have:

f(x+5) = (x+5)²

Vertical translations:

Suppose that k> 0

To graph y = f (x) + k, move the graph of k units up.

For k = 3, we have:

g(x) = (x+5)²+3

Hence, The value that represents the vertical translation from the graph of the parent function is 3.

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The experimenter selects a bad battery in the first two trials. The experiment stops after two trials.

The outcomes that are contained in A are as follows: Either the experimenter selects a good battery or a bad battery in the first trial. Assume that the experimenter chooses a good battery first.

If the selected battery is good, the experiment is completed. On the other hand, if the chosen battery is bad, the experimenter tries again. If a good battery is selected in the second trial, the experiment is completed.

On the other hand, if the chosen battery is bad again, the experiment is stopped. Basically, the outcomes in A are as follows: The experimenter selects a good battery in the first trial.2.

The experimenter selects a bad battery in the first trial but a good battery in the second trial.3.

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The value of function f ⁻¹ (6) is,

⇒ f ⁻¹ (6) = 1/2

We have to given that;

f (x) and f⁻¹ (x) are inverse functions of each other and f(x) = 2x + 5.

Hence, The value of inverse of f (x) is,

f (x) = 2x + 5

y = 2x + 5

y - 5 = 2x

x = 1/2 (y - 5)

Hence,  f ⁻¹ (x) = 1/2 (x - 5)

Plug x = 6;

f ⁻¹ (6) = 1/2 (6 - 5)

f ⁻¹ (6) = 1/2

Thus, The value of function f ⁻¹ (6) is,

⇒ f ⁻¹ (6) = 1/2

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Step-by-step explanation:

PRIMERO ENCUENTRAS EL RADIO

r = 14.13 in/2(3.14) = 2.25 in

LUEGO EL ÁREA

A = 3.14\((2.25 in)^{2}\) = \(15.90 in^{2}\)

Answer:

answer is c

Step-by-step explanation:

Number of times the spinner spun = 75

Outcomes Frequency

A 20

B 11

C 14

D 30

We need to find the experimental probability of spinning an "A" :

Probability of getting an A is 0.27.

Hence, Option 'c' is correct.

Answer:

Step-by-step explanation:

tanx=4/12

x=arctan(4/12)

x=18.4 degrees

Mill claims that of any two pleasures, one is preferable to the other if and only if it is more desirable or valuable to a person. Mill's understanding of pleasure is not solely based on its intensity, duration, or certainty, but rather on the qualitative experience of pleasure itself.

Mill believes that some pleasures are of a higher quality than others, and that people who have experienced both kinds of pleasure would choose the higher pleasure over the lower one. Mill argues that the preference for higher pleasures is a result of the cultivation of one's mental and emotional capacities. He suggests that the ability to appreciate higher pleasures is developed through education and exposure to cultural and intellectual experiences.

Therefore, Mill's theory of pleasure and preference is based on a broader understanding of human nature and the value of experience, rather than just the quantitative features of pleasure.

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The body will reach maximum height of 20 meter.

Law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time.

K + U = K' + U'

K = initial kinetic energy

U = initial potential energy

K' = final kinetic energy

U' = final potential energy

Given,

Mass of body m = 500g = 0.5 kg

Velocity v = 72km/h = 72000/3600 = 20 m/s

At initial point

Height h = 0

So, Potential energy U = mgh = mg(0) = 0

Kinetic energy K = (1/2)mv²

At highest point velocity u = 0

So, Kinetic energy K' = (1/2)u² = (1/2)×0 = 0

Potential energy U' = mgH

Now,

By law of conservation of energy

K + U = K' + U'

0 + (1/2)mv² = mgH + 0

(1/2)mv² = mgH

v² = 2gh

H = v²/2g

g is acceleration due to gravity, g = 10 m/s²

h = 20²/2×10

h = 20 meter

Hence, 20 meter is the maximum height to which the body will reach.

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The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.

Although the question does not specify the options, but I have specified my answer as follows:

Given:

The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.

Account Opening Charges: $10

Starting amount: $d

The total amount in the account: $m

Let us say the depositor deposits an amount $k for 'i' number of months

Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.

I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.

The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time

⇒m=d-10+k×i

This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.

Therefore, the following equation is m=d-10+k×i.

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The difference of cubes among the options is

How to find the difference of cube

The equation of difference of cubes is given by:

a^3 - b^3 = (a - b) (a^2 + ab + b^2)

In this case, the difference of cubes is:

8x^3 - 27y^6

This can be rewritten as

= (2x)^3 - (3y^2)^3

here

a = 2x

b = 3y^2

Therefore, the correct answer is as follows:

8x^3 - 27y^6

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A group of two or more equations containing the same variables but with at least one non-linear equation is a non-linear system of equations.

What is a non-linear equation?

What is a nonlinear equation example?

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The equation of the line that has a slope of –5 and passes through (0, 1) will be y = –5x + 4.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is negative 5. Then the equation of the line is given as,

y = –5x + c

The equation of the line is passing through (0, 1), then the value of 'c' is calculated as,

1 = –5 (0) + c

c = 4

Then the equation that represents the line will be y = –5x + 4.

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No, the proposed tank with the location of the outlet pipe will not serve the farmer's purpose. A 2" diameter outlet pipe is too small to empty the tank within a day, considering the limited supply of 541,500 cubic feet of water daily. A larger outlet pipe is required to ensure efficient drainage.

1. Calculate the volume of the proposed tank:

  Volume = Length x Width x Depth

         = 190 ft x 190 ft x 10 ft

         = 361,000 cubic feet

2. Deduct the thickness of the tank walls from the dimensions:

  Inside Length = 190 ft - 2(6 ft) = 178 ft

  Inside Width = 190 ft - 2(6 ft) = 178 ft

  Inside Depth = 10 ft - 2(6 ft) = -2 ft (Note: The inside depth cannot be negative)

3. Since the inside depth is negative, the proposed tank dimensions are not feasible. We need to adjust the dimensions to accommodate a positive inside depth.

4. Let's increase the inside depth by 1 ft to avoid overflow. The new inside depth becomes 11 ft.

5. Calculate the required volume for the adjusted tank:

  Adjusted Volume = Inside Length x Inside Width x Inside Depth

                  = 178 ft x 178 ft x 11 ft

                  = 344,596 cubic feet

6. To determine the minimum required dimensions of a square tank, we need to calculate the length and width of the tank.

  Since the length should remain 190 ft, the width can be calculated as:

  Width = Adjusted Volume / (Length x Depth)

        = 344,596 cubic feet / (190 ft x 11 ft)

        = 179.7 ft (approximately)

7. Round the width to the nearest foot, resulting in a width of 180 ft.

8. The final proposed tank dimensions are: Length = 190 ft, Width = 180 ft, and Depth = 11 ft.

9. Create a neat sketch of the tank, showing the section of the tank with the location of the outlet pipe. The outlet pipe should be positioned near the bottom of the tank to ensure the entire tank can be emptied efficiently.

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Given problem;

   A = \(\pi\) r²

   Solve for π;

To solve for π implies that we make it the subject of the expression.

So;

       A = π r²

      Now multiply both sides by \(\frac{1}{r^{2} }\)

 So;

                A x \(\frac{1}{r^{2} }\)   = \(\pi\) x r² x \(\frac{1}{r^{2} }\)

              r² cancels out from the right side and leaves only π;

                  π = \(\frac{A}{r^{2} }\)

So    \(\pi = \frac{A}{r^{2} }\)

When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

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