We-haul rents a moving truck for $20.00 and $0.45 per mile. You-haul rents the same size moving truck for $1.00 per mile but with no upfront charge.

Part A- Write two equations to represent the situation.
Part B- Represent the two equations on the graph below
Part C- What is the rate of change for each? What do they represent?
Part D- What do the y-intercepts of each line represent
Part E- Use the substitution method to help the renter determine when the two truck rentals will cost the same amount
Part F- Describe the situation when renting from We-haul would be a better deal than renting from You-haul

PLEASE HELP!!!

The probability that 3 out of 8 of them entered a profession closely related to their college major is equal to 0.1239.

Sample size of college graduates = 300

Randomly selected subjects = 8

Using the binomial probability formula,

P(X = x) = ⁿCₓ × pˣ × (1 - p)ⁿ⁻ˣ

where X is the number of subjects who entered a profession closely related to their college major,

n is the sample size,

x is the number of successes entered a profession closely related to their college major,

p is the probability of success = 0.60

and ⁿCₓ is the binomial coefficient.

ⁿCₓ = n! / (x! × (n - x)!)

Plugging in the values, we get,

P(X = 3) = (⁸C₃) × 0.60³ × (1 - 0.60)⁸⁻³

Using a calculator ,

⁸C₃ = 56

0.60³ = 0.216

(1 - 0.60)⁸⁻³ = 0.01024

Plugging these values in,

P(X = 3) = 56 × 0.216 × 0.01024

Simplifying it,

P(X = 3) = 0.1239

Therefore, the probability that exactly 3 of the 8 selected subjects entered a profession closely related to their college major is approximately 0.1239

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Answer:

02/54-28

55

55246

6554-21+4.

5555

Answer:

B. The Dress Shop.

Step-by-step explanation:

To find the best deal, we want to find the cost for one dress.

Lara's Boutique: $64 for 4 dresses.

x / 1 = 64 / 4

x = 64 / 4

x = $16 per dress.

The Dress Shop: $75 for 5 dresses.

x / 1 = 75 / 5

x = 75 / 5

x = $15 per dress.

Marge's Dresses: $160 for 8 dresses.

x / 1 = 160 / 8

x = 160 / 8

x = $20 per dress.

The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.

Hope this helps!

Answer:

I need a picture of the table, chart, graph, etc. that they give you.

Answer:

To obtain the third side of an isosceles triangle with two sides known, use the Pythagorean theorem if it is a right triangle or provide additional information if it is no

Step-by-step explanation:

You can follow these steps:

Identify the two sides that are known. In an isosceles triangle, these will be the two equal sides, often referred to as the legs of the triangle.

Determine the length of the base. The base is the third side of the triangle, and it is the side that is not equal to the other two sides.

If the isosceles triangle is also a right triangle, you can use the Pythagorean theorem to find the length of the base. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. So, you can use the formula:

base^2 = (leg1)^2 + (leg2)^2

Take the square root of both sides to solve for the base:

base = √((leg1)^2 + (leg2)^2)

If the isosceles triangle is not a right triangle, you need additional information to determine the length of the base. This could be the measure of an angle or another side length.

Remember that the lengths of the two equal sides (legs) in an isosceles triangle are always equal, while the length of the base is different.

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Value is the worth of something in terms of the amount of other things it can be exchanged for. For example, a car is valued at $20,000, meaning that it can be exchanged for $20,000 worth of goods or services.

When trying to determine the value of something, it is important to consider its worth in terms of the amount of other things it can be exchanged for. This is because the value of an item is defined as the amount of other goods or services that it can be exchanged for. In other words, it is the amount of money that can be obtained from trading it.

For example, a car is typically valued at $20,000, meaning that it can be exchanged for $20,000 worth of goods or services. However, it is also important to consider the condition of the car and other factors that may influence its value. For instance, if the car has a lot of wear and tear, its value may be lower than $20,000. On the other hand, if the car is in excellent condition, its value may be higher than $20,000.

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Answer:

A = 1120

Max # of ppl = 80

Step-by-step explanation:

A = 28*40

A = 1120

Max # of ppl = 1120/14

Max # of ppl = 80

hope this helps, pls mark brainliest :D

Answer:

around 450

hope that helps,but you'll have to be there to fully answer that question

:)

Answer: m = 6/5

Step-by-step explanation:

Answer: m=6/5

Step-by-step explanation:

Answer:

4

Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.

Answer:

I think its 3

yah it's 3.....

The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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Answer:

Step-by-step explanation:

The probability of a success is 0.2, as there are 5 possible outcomes (0 to 4), and one of them is a success (3). Therefore, the probability of a success is 1/5, or 0.2.

Answer:

(405x ^ 7)²

405²x^14

164025x^14 is a square of 405x ^ 7

Step-by-step explanation:

Given:

The endpoints of a line segment QS are Q(-6,2) and S(5,6).

Point R divides the line segment QS in 1:2.

To find:

The coordinates of point R.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that point are:

\(Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)

It is given that the endpoints of a line segment QS are Q(-6,2), S(5,6) and point R divides the line segment QS in 1:2. So, the coordinate of point R are:

\(R=\left(\dfrac{1(5)+2(-6)}{1+2},\dfrac{1(6)+2(2)}{1+2}\right)\)

\(R=\left(\dfrac{5-12}{3},\dfrac{6+4}{3}\right)\)

\(R=\left(\dfrac{-7}{3},\dfrac{10}{3}\right)\)

Therefore, the coordinates of point R are \(\left(\dfrac{-7}{3},\dfrac{10}{3}\right)\).

Step-by-step explanation:

TSA = 3543.72 hope its helpfull

Answer:

240 cm²

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

This one is pretty simple, the triangle that sits on the upper left side of the shape fits right where there is a missing triangle shape on the upper right side. So just simply add 5.5 and 6.5 to get the total height of the figure and multiply it by the width (20).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

5.5 cm + 6.5 cm = 12 cm

                 ↓  

12cm × 20 cm = 240 cm²

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Your answer is 240 cm²

Have a great day!

~Siascon~

Answer:

0.012÷2=12 thousandths ÷ 2

The sine is defined as the ratio of the length of the opposite leg and the hypotenuse. Since the hypotenuse is the longest side, the numerator will be less than the denominator, and thus the fraction will be less than 1.

Answer:

The sine is defined as the ratio of the length of the opposite leg and the hypotenuse. Since the hypotenuse is the longest side, the numerator will be less than the denominator, and thus the fraction will be less than 1.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer: It would be 42 Centimeters! :D

The potential between points P and Q are 105 units.

To find the potential between two points, we need to integrate the electric field along the path connecting the points. The electric field is given by E = 40xyi + 20x^2j + 2k.

Let's denote the position vector of point P as r_p = xi + yj + zk, and the position vector of point Q as r_q = xi + yj + zk.

The potential difference ΔV between P and Q is given by:

ΔV = ∫ E · dr,

where dr is an infinitesimal displacement along the path connecting P and Q.

In this case, the path is a straight line from P to Q, so we can parametrize it as r = r_p + t(r_q - r_p), where t varies from 0 to 1.

Substituting the electric field E into the integral, we have:

ΔV = ∫ (40xyi + 20x^2j + 2k) · (dx/dt)i + (dy/dt)j + (dz/dt)k,

where dx/dt, dy/dt, and dz/dt are the derivatives of x, y, and z with respect to t.

Simplifying the dot product and integrating term by term, we get:

ΔV = ∫ (40xydx/dt + 20x^2dy/dt + 2*dz/dt) dt.

Now, let's calculate the derivatives dx/dt, dy/dt, and dz/dt:

dx/dt = d(xi)/dt = 0, since x does not vary with t.

dy/dt = d(yj)/dt = 0, since y does not vary with t.

dz/dt = d(zk)/dt = 0, since z does not vary with t.

Therefore, the integrals for dy/dt and dz/dt will be zero.

The integral for dx/dt is:

∫ (40xy*dx/dt) dt = 40xy ∫ (dx/dt) dt

= 40xy ∫ 0 dt

= 0.

So, the potential difference ΔV reduces to:

ΔV = ∫ (40xydx/dt + 20x^2dy/dt + 2*dz/dt) dt

= ∫ (0 + 0 + 0) dt

= 0.

Hence, the potential difference between points P and Q is zero. Therefore, the answer options provided (a) 104, (b) 105, (c) 106, (d) 107 are all incorrect.

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Answer:

∠F = 32°

Step-by-step explanation:

ΔABC & ΔDEF are similar triangles. So, corresponding angles of both triangles are congruent

∠D = ∠A = 108

∠B = ∠E = 40

∠C = ∠F

In ΔDEF,

∠D +∠E + ∠F = 180        {Angle sum property of triangle}

108 + 40 + ∠F = 180

        148 +∠F = 180

                ∠F = 180 - 148

               ∠F = 32°

The answer of the given question is Integration testing.

Integration testing is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.

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Integration testing is a form of testing that involves linking all of the individual components together and testing them as a group to uncover any defects between individual components.

Integration testing focuses on the interactions between different components of a system. It aims to identify any issues that may arise when the components are combined, such as communication errors, data discrepancies, or incorrect functional behavior. This type of testing is typically performed after unit testing, which tests individual components in isolation, and before system testing, which evaluates the entire system's functionality.

In summary, integration testing is a crucial step in the software testing process that ensures individual components work together seamlessly, helping to identify and resolve defects that may occur when these components are connected.

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Answer:

The conclusion supported by the diagram is;

(A)  \(\dfrac{AB}{BC} = \dfrac{FE}{ED}\)

Step-by-step explanation:

The question is examines the theorem that two transversals cut by three or more parallel lines are proportionally divided by the transversals

The given parallel lines are;

Line CD, line BE, and line line AB

The given transversals are;

Line AC and line DF

Therefore, by the above three or more parallel lines cutting two transversal theorem, we have;

BC/AB = ED/FE, BC/DF = AB/FE, CA/AB = DF/FE

From BC/AB = ED/FE, we find the inverse of both sides to get;

\(\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{1}{\dfrac{ED}{FE} }\)

\(\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{AB}{BC} \ and \ \dfrac{1}{\dfrac{ED}{FE} } = \dfrac{FE}{ED}\)

\(\therefore \ \dfrac{AB}{BC} = \dfrac{FE}{ED}\)

The correct option is \(\dfrac{AB}{BC} = \dfrac{FE}{ED}\)

The function f has a range of [0, 2] if the domain of the function is limited to [0, 2]

From the question, the definition of the functions are given as

f(x) = x³ - 6x² + 9x

g(x) = 4

The domain of the function f(x) is limited to the interval

Domain = [0, 2]

This means that we calculate the function values at ends of the intervals

i.e. at x = 0 and x = 2

Substitute x = 0 and x = 2 in the equation f(x) = x³ - 6x² + 9x

So, we have

f(0) = 0³ - 6(0)² + 9(0)

f(0) = 0

Also, we have

f(2) = 2³ - 6(2)² + 9(2)

f(2) = 2

So, we have

Range = [f(0), f(2)]

This gives

Range = [0, 2]

Hence, the range of the function f is [0, 2]

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Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

Answer:

35 answer

Step-by-step explanation:

I hope it help

The average speed of the second car was 60 miles per hour.

1. Let's calculate the time difference between when the first car started and when the second car caught up. The second car started two hours after the first car, therefore it travelled for five hours (9:00 PM - 4:00 PM).

2. We know that the first car traveled for a longer period than the second car, as it started at 2:00 PM and was overtaken at 9:00 PM. Therefore, we need to find the total distance traveled by the first car during this time.

  Time traveled by the first car = (9:00 PM - 2:00 PM) = 7 hours.

The first car's speed is 40 miles per hour.

Distance travelled by the first automobile = Speed Time = 40 mph per hour 7 hours = 280 miles.

3. Since the second car caught up with the first car, we can conclude that the distance traveled by the second car is equal to the distance traveled by the first car, which is 280 miles.

4. We know that the second automobile drove for 5 hours. 280 miles is the distance travelled by the second automobile. The second automobile travelled for 5 hours.

5. To get the average speed of the second vehicle, divide the distance travelled by the time required: The second car's average speed = Distance Time = 280 miles 5 hours = 56 miles per hour.

As a result, the second car's average speed was 56 miles per hour.

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Answer:

o 10.2 , I just took the test.

Answer:

x=5

Step-by-step explanation:

2x+10=20

   -10   -10

2x=10

then divide both sides by 2

x=5

Answer:

x = 5

Step-by-step explanation:

Given

2x + 10 = 20

Subtract 10 to both sides

(2x + 10) -10 = 20 - 10

2x = 10

Divide both sides by 2

\(\frac{2x}{2} =\frac{10}{2}\)

x=5

Check your work. Substituted 5 for x

2x + 10 = 20

2(5) + 10 =20

10 + 10 = 20

20 = 20