Please change to slope intercept form :) this is due soon and I had some family problems some help would be really useful to get through this! Thank you <33

The magnitude of the vector QP is √73.

To find the component form of the vector QP, we need to subtract the coordinates of point P from the coordinates of point Q. The component form of a vector is represented as (x, y), where x and y are the differences in the x-coordinates and y-coordinates, respectively.

Given that P = (4, 1) and Q = (-4, 4), we can calculate the component form of the vector QP as follows:

x-component of QP = x-coordinate of Q - x-coordinate of P

                 = (-4) - 4

                 = -8

y-component of QP = y-coordinate of Q - y-coordinate of P

                 = 4 - 1

                 = 3

Therefore, the component form of the vector QP is (-8, 3).

To find the magnitude of the vector QP, we can use the formula:

Magnitude of a vector = √(\(x^2 + y^2\))

Substituting the x-component and y-component of QP into the formula, we get:

Magnitude of QP = √((\(-8)^2 + 3^2\))

              = √(64 + 9)

              = √73

Therefore, the magnitude of the vector QP is √73.

In summary, the component form of the vector QP is (-8, 3), and its magnitude is √73. The component form gives us the direction and the magnitude gives us the length or size of the vector.

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Answer:

She slept 1020 minutes in total.

Step-by-step explanation:

Answer:

1,020 minutes.

Step-by-step explanation:

Answer:

4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

I hope this helps!

The area of a shape is the amount of space it can occupy.

The areas of the shapes are: 216cm\(^2,\), 309.76mm\(^2,\),760.61in\(^2,\) and 148.92 in\(^2,\) respectively

(a) Triangle

Given that:

\(Base = 27cm\)

\(Height = 16cm\)

The area is:

\(Area = 0.5 \times Base \times Height\)

\(Area = 0.5 \times 27cm \times 16cm\)

\(Area = 216cm^2\)

(b) Square

Given that:

\(Length = 17.6mm\)

The area is:

\(Area = Length^2\)

\(Area = (17.6mm)^2\)

\(Area = 309.76mm^2\)

(c) Semi-circle

Given that:

\(diameter =44in\)

First, calculate the radius (r)

\(r = 0.5 \times diameter\)

\(r = 0.5 \times 44in\)

\(r = 22in\)

The area is:

\(Area = \frac{\pi r^2}{2}\)

\(Area = \frac{3.143 \times (22in)^2}{2}\)

\(Area = 760.61in^2\)

(d) Triangle

Given that:

\(Base = 20.4in\)

\(Height = 14.6in\)

The area is:

\(Area = 0.5 \times Base \times Height\)

\(Area = 0.5 \times 20.4in \times 14.6in\)

\(Area = 148.92in^2\)

Hence, the areas are: 216cm\(^2,\), 309.76mm\(^2,\),760.61in\(^2,\) and 148.92 in\(^2,\) respectively

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Inequality can be used to determine x, the greatest number of 120-kilogram crates that can be loaded onto the shipping container is  8000 + 120C <= 27500

An inequality is a relationship that allows us to contrast two or more mathematical expressions.

Knowing that;

Each carton weighs 120 kg.

The container's maximum weight when loaded is 27500 kg.

Weight of the container as it is currently loaded: 8000 kg

Now that we have merged, we have;

Solution

because 8000 grams have already been loaded kilograms

into the container

each crate weighs 120 kilograms.

so 8000 + 120C <= 27500

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Answer:

64

Step-by-step explanation:

Substitute 6 in for x in the equation to get 8(6 + 2). You need to follow the order of operations and solve what is in the parentheses first. 6 + 2 is 8, so that leaves you with 8(8). 8 x 8 is 64. 64 = the answer.

Answer: 6000 liters

Step-by-step explanation: (3m) x(2m)x (1m)

Answer:

8 inches

Step-by-step explanation:

Use a proportion.

2 inches is to 0.9 miles as x inches is to 3.6 miles

2/0.9 = x/3.6

0.9x = 2 * 3.6

x = 2 * 4

x = 8

Answer: 8 inches

The value of the Integral is -1/5 * (36 - x^2)^(5/2) + C, where C is the constant of integration.

To evaluate the integral (36 - x?)dx, we can use the power rule of integration, which states that the integral of x^n dx is (x^(n+1))/(n+1) + C, where C is the constant of integration.

Applying this rule to the given integral, we have:

(36 - x?)dx = (36x - (x^2)/2) + C

Note that we absorb the constant of integration as much as possible into C.

To evaluate the second integral, we can use the substitution method. Let u = 36 - x^2, then du/dx = -2x, which implies dx = (-1/2x)du.

Substituting these into the integral, we get:

|(36 - x^2)^(5/2)dx = |(36 - x^2)^(5/2) * (-1/2x)du

= -1/2 * |(36 - x^2)^(5/2) * (1/x)du

= -1/2 * |u^(5/2) * (1/(36-u))du

To evaluate this integral, we can use the substitution method again. Let v = 36 - u, then dv/du = -1, which implies du = -dv.

Substituting these into the integral, we get:

-1/2 * |-v^(5/2) * (1/v)dv

= 1/2 * |-v^(3/2)dv

= 1/2 * (-2/5) * v^(5/2) + C

= -1/5 * (36 - x^2)^(5/2) + C

Therefore, the value of the integral is -1/5 * (36 - x^2)^(5/2) + C, where C is the constant of integration.

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The value of x in the solution set of 3x 4 ⥠5x 2 is x = -2.

3x 4 ⥠5x 2

3x 4 - 5x 2 = 0

3x - 5x = -2

-2x = -2

x = -2

The solution set of 3x 4 ⥠5x 2 is the set of all values of x that when substituted into the equation, make it true. To find the value of x, we must start by rearranging the equation to make the variable x the subject, or the thing that we are trying to find. To do this, we subtract 3x 4 from both sides of the equation, leaving us with 5x 2 = 0. We then subtract 5x from both sides of the equation, leaving us with -2x = -2. To solve for x, we divide both sides of the equation by -2, which gives us the answer x = -2. Therefore, the value of x in the solution set of 3x 4 ⥠5x 2 is x = -2.

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The formula is

Where C is the total, c initial capital, n the number of years and i interest percentage

We can modify the formula to express the total won

Where c1 is the par 5%, C2 the par at 11% and c3 the par at 14%

i1,i2 and i3 the percentage of interest applied to each part

as a total you must use the total earned plus the initial capital

so replacing

this was our first equation

the next comes from: the sum of all inverted parts is 8100

so

hitrd equation is from: The amount of money invested at 14% was $500 more than the amounts invested at 5% and 11% combined.

Solution of the equations

we replace the third equation on the second

now replace c3 and c1 on the first equation to find c2

now replace c1 again

and find c2

the value of c2 or the part at 11% is $2,500

now we can replace c2 in one of the equations we solved, for example this

and find c1

the value of c1 or the part at 5% is $1,300

now we can repalce c1 and c2 on the equation

and find c3

the value of c3 or the part at 14% is $4,300

the total values are

part at 11% is $2,500

part at 5% is $1,300

part at 14% is $4,300

Answer:

Whether a net force acts on the object.

Step-by-step explanation:

Newtons first law states that an object will remain at rest unless it is acted upon by an imbalanced force.

False. In the position coordinate system, P(r,θ), r represents the radial coordinate, while θ represents the angular coordinate, not the transverse coordinate.

The transverse coordinate is typically denoted by z and is used in three-dimensional Cartesian coordinates (x,y,z) to represent the position of a point in space.

In polar coordinates, such as P(r,θ), r represents the distance from the origin to the point, while θ represents the angle between the positive x-axis and the line connecting the origin to the point. Together, they determine the position of a point in a two-dimensional plane. The radial coordinate gives the distance from the origin, while the angular coordinate determines the direction or orientation of the point with respect to the reference axis.

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Answer:

179.996

Step-by-step explanation:

Overall, magnets are formed through the alignment of magnetic fields in a material or by using electricity to create a magnetic field.

A magnet is a material or object that produces a magnetic field, which is a force that can attract or repel certain materials, such as iron, nickel, and cobalt. Magnets are commonly used in everyday life, such as in electrical motors, speakers, and refrigerators. Magnets can be formed in several ways. One way is through a process called ferromagnetism, which occurs when the magnetic fields of individual atoms in a material align in the same direction, creating a net magnetic field. This can happen naturally in certain materials, such as iron, nickel, and cobalt, or through a process called magnetization, where an external magnetic field is applied to a material to align the magnetic fields of its atoms. Another way magnets can be formed is through the use of electricity. When an electric current flows through a wire, it produces a magnetic field around the wire. If the wire is wrapped around a core material, such as iron, the resulting magnetic field can be much stronger, creating an electromagnet.

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Answer:

m = -7

initial value = 27

Step-by-step explanation:

The rate of change is also known as the slope of a line.

To find this do y1-y2/x1-x2 or y2-y1/x2-x1. You can't do rise/run in this case because there is no graph. I will help you with both answers for the first question only, because I think it is better for you to also practice.

The initial value is also when x = 0, therefore the initial value is 27.

The slop is:

27-(-8)/0-5

35/-5

-7

The rate of change, or slope, for the first question is -7.

Answer:

dtjshjghj,fghaf, jkldh

Step-by-step explanation:

dhgljshgja fgjksdfhgjklfshbsjl

Answer:

73

Step-by-step explanation:

The coordinates are simple. Hope you understand this and you can draw it out.

Answer:

see explanation

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\) , then

\(\sqrt{72}\)

= \(\sqrt{36(2)}\)

= \(\sqrt{36}\) × \(\sqrt{2}\)

= 6\(\sqrt{2}\)

\(\sqrt{77}\) is in simplest form, and cannot be simplified further

Answer:

7 comic books with Native superheroes.

Step-by-step explanation:

Total number of comic books Ethan have = 28

The ratio of comic books with Native superheroes to comic books without Native superheroes is 1:3.

Let there are x Native superheroes and 3x is without Native superheroes.

ATQ,

x+3x=28

4x = 28

x = 7

The comic books have Native superheroes = x

= 7

Hence, there are 7 comic books with Native superheroes.

Answer:

- 11

Step-by-step explanation:

let the number be n then 3 times the number is 3n and the opposite is - n

3n + 44 = - n ( add n to both sides )

4n + 44 = 0 ( subtract 44 from both sides )

4n = - 44 ( divide both sides by 4 )

n = - 11

The required number is - 11

a. The expected search path length in a skip list of size n is at most 1/p * log1/p (n) + O(1).

b. The expression 1/p * log1/p (n) is minimized when p = 1/2.

For a, To show this, we use the following observations:

The expected number of nodes in the i-th level of a skip list of size n is

The expected number of levels in a skip list of size n is

The expected number of nodes in a skip list of size n is therefore

Combining these observations, we get that the expected search path length in a skip list of size n is at most:

1/p * (n * (log1/p (n) + O(1)) * p)

= log1/p (n) + O(1)

For b, The expression 1/p * log1/p (n) is minimized when p = 1/2.

To see this, we can take the derivative of the expression with respect to p and set it to zero:

d/dp (1/p * log1/p (n)) = -log1/p (n) / p² + log(1/p) / p²

= (log(1/p) - log1/p (n)) / p²

Setting this to zero and solving for p, we get:

log(1/p) - log1/p (n) = 0

log(1/p) = log1/p (n)

1/p = \(n^{(1/p)\)

p = log(n) / log(log(n))

However, this value of p is not in the range (0, 1), so we need to choose the value of p that is closest to the optimal value of log(n) / log(log(n)) within the range (0, 1). It turns out that this value is p = 1/2, which gives the minimum expected search path length of approximately 1.4427 * log(n).

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Answer:

5 Feet per second.

f = feet  s = seconds

Equation

f = 5s

The equation that represents the line in the graph is 3x-4y = 18 .

To find the equation of the line we need a point and the slope of that line .

in the given question ,

we can see that the graph passes through the points (2,-3) and (-2,-6) .

the slope(m) of the line can be calculated using the formula

m = (y₂-y₁)/(x₂-x₁)

Substituting the values of x₁=2 , y₁= -3 , x₂= -2 , y₂= -6  , we get

m = (-6-(-3))/(-2-2)

m = (-6+3)/(-4)

m = -3/(-4)

m = 3/4

Substituting the value of m, x₁, y₁ in the equation of line , we get

(y-y₁) = m(x-x₁)

y-(-3)=3/4(x-2)

y+3 = 3/4(x-2)

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

4y + 12 = 3x - 6

3x -4y = 18

Therefore , the equation that represents the line in the graph is 3x-4y=18.

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Answer:

\(\huge\boxed{\sf f(5) = 11}\)

Step-by-step explanation:

f(x) = 2x + 1

Put x = 5

So,

f(5) = 2(5) + 1

f(5) = 10 + 1

\(\rule[225]{225}{2}\)

A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2 + 2 = 4. The correct answer is:

In Math's, an intercept is a point on the y-axis, through which the slope of the line passes. It is y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept. There are basically two intercepts, x-intercept and y-intercept.

Rewrite the function as an equation:

→ y = 2x + 1

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is y = mx + b where m is the slope of b is the y-intercept:

→ y = mx + b

Find the values of m and b using the form y = mx + b:

→ m = 2

→ b = 1

Therefore, A mathematical symbol, or combination of symbols, representing a value, or relation. Example: 2 + 2 = 4. The correct answer is:

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Answer:

The answer is 250.

Step-by-step explanation:

Hello! This is a simple subtraction matter. All order-of-operations are opposites (multiplication and division, and addition and subtraction.) This means that since we're presented with a case where 420 + something = 670, the opposite is 670 - 420 = something.

If we compute some simple calculations, 670 - 420 = 250.

There's your answer :)

Answer

2 apples per $1

Step-by-step explanation:

because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

Answer:

14.7

Step-by-step explanation:

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

Explanation:

Draw out a number line. Plot point D at -84 and K at 25. Plot a third point, say point A, at 0.

From D to A is 84 units

From A to K is 25 units

Those two distances add to 84+25 = 109 units total, which is the distance from K to D on a number line. This is the same as the length of segment KD.

-----------

You could also show your steps like this

|D - K| = |-84 - 25| = |-109| = 109

The absolute value is to ensure the result is never negative.

The D and K can swap like so

|K - D| = |25 - (-84)| = |25+84| = |109| = 109

Either way we get the same distance.