Someone help me on this math problem please!!

Answer:

The correct answer is:

c. No, it is not a proportional relationship because the graph is not a straight line.

Step-by-step explanation:

A proportional relationship would be represented by a straight line passing through the origin (0, 0) on the graph. In this case, the points do not form a straight line, indicating that the relationship between the number of cars and the number of wheels is not proportional.

There are 5,760 ways to arrange the books on the bookshelf.

A permutation is an ordered arrangement of objects, and it can be calculated as follows:

ⁿPₓ = n! / (n - x)!

where n is the total number of objects and r is the number of objects that we are arranging.

To determine the total number of ways in which we can arrange the books on a bookshelf, we need to first calculate the total number of possible arrangements. We can do this by using the fundamental principle of counting, which tells us that the total number of possible arrangements is equal to the product of the number of ways in which each book can be arranged.

Therefore, the total number of possible arrangements can be calculated as follows:

Total number of possible arrangements = Number of ways to arrange math books × Number of ways to arrange history books × Number of ways to arrange science books

In our case, we have 4 math books, 5 history books, and 2 science books, so we can calculate the number of permutations for each type of book as follows:

Number of ways to arrange math books = ⁴P₄ = 4! / (4-4)! = 4! / 0! = 24

Number of ways to arrange history books = ⁵P₅ = 5! / (5-5)! = 5! / 0! = 120

Number of ways to arrange science books = ²P₂ = 2! / (2-2)! = 2! / 0! = 2

Now, we can substitute these values in the formula for the total number of possible arrangements:

Total number of possible arrangements = 24 × 120 × 2 = 5,760

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Answer:

Equation 2 is correct

Step-by-step explanation:

Equation 1 is 2, not 1.5

Answer: C and D

Step-by-step explanation:

The value of c in the first one is less then the value of the second one. Also equation 1 equals -11 and equation 2 equals 1 so that’s why it’s c and d.

Answer:c

Step-by-step explanation:

math

The ratio of the lengths of the sides opposite to angles A and B is approximately 1.4.

Let's label the sides of triangle ABC as a, b, and c, with angle A opposite to side a, angle B opposite to side b, and angle C opposite to side c.

Using the Law of Sines, we have:

a/sin A = b/sin B = c/sin C

Since we know the measures of angles A and B, we can write:

a/sin 45° = b/sin 30°

Simplifying this equation, we get:

a/b = sin 45°/sin 30°

a/b = (1/√2)/(1/2)

a/b = √2

a/b ≈ 1.414

Rounding this to the nearest tenth, we get:

a/b ≈ 1.4

Therefore, the ratio of the lengths of the sides opposite to angles A and B is approximately 1.4.

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Answer:

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

In the context of the problem, - 0.12 inches per year represents the slope (negative to show a decrease) of the line and 54.3 inches represent the y-intercept as the starting point.

Considering m = - 0.12 and b = 54.3 in the slope-intercept equation:

Find the value of y when x = 101:

Answer: Question 3. 1) B=60 degrees

Step-by-step explanation: Angles on a straight line=180 so if u have 120 all you have to do is minus 180 from 120 which gives you 60.

The algebraic expression for Utako's weekly income in terms of her sales can be written as i = 320 + 0.06s where i is the weekly income and s is the sales.

The given algebraic expression i = 320 + 0.06s represents Utako's weekly income in terms of her sales. The expression consists of two parts - a fixed component of $320 per week and a variable component of 6% commission on her sales.

To evaluate Utako's weekly income for a particular value of sales, we simply substitute that value of s in the expression and calculate the corresponding value of i. For example, if her sales are $5000 in a week, then her weekly income would be:

i = 320 + 0.06(5000) = 320 + 300 = $620

Similarly, for any other value of sales, we can calculate her weekly income using this expression. This equation is useful for Utako to estimate her income based on her sales and to plan her finances accordingly.

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Answer: bobux man location

Step-by-step explanation: Latitude: 48.30781, Longitude: -127.14321, Distortion: 2.26

Answer:

190 millimeters

Step-by-step explanation:

you didn't show the whole question so yeah

Therefore, Janelle and Carmen together spent $88 + $88 = $176.

To find out how much money Janelle and Carmen spent together, we need to evaluate the function p(x) = 5x^4 - 3x^3 + 2x^2 + 24 at x = 2 for both Janelle and Carmen.

For Janelle, when x = 2:

p(2) = 5(2)^4 - 3(2)^3 + 2(2)^2 + 24

= 5(16) - 3(8) + 2(4) + 24

= 80 - 24 + 8 + 24

= 88

For Carmen, when x = 2:

p(2) = 5(2)^4 - 3(2)^3 + 2(2)^2 + 24

= 5(16) - 3(8) + 2(4) + 24

= 80 - 24 + 8 + 24

= 88

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Answer:

Step-by-step explanation:

99

a. The parameters of the standard beta distribution can be found using the given mean (E(Y) = 10) and variance (V(Y) = 100/7).  b. By using the cumulative distribution function (CDF) of the standard beta distribution, we can calculate P(8 ≤ Y ≤ 12) as CDF(0.6) - CDF(0.4) c. probability is 0.1

The relevant standard beta distribution for the steel bar's snapping distance Y/20 has parameters that can be determined using the mean and variance provided. To compute probabilities, we can use the cumulative distribution function (CDF) and survival function (1 - CDF) of the standard beta distribution.

a. By solving the equations involving the mean and variance, we can determine the values of the parameters.

b. To compute the probability P(8 ≤ Y ≤ 12), we convert the range [8, 12] to the corresponding range in terms of Y/20, which is [0.4, 0.6].

c. To compute the probability that the bar snaps more than 2 in. from the expected position, we convert the distance of 2 in. to the corresponding value in terms of Y/20,  we can calculate the probability P(Y > 2) as 1 - CDF(0.1).

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The bank's loan is better because it has a lower APR of 9.2% compared to the dealer's loan with an APR of 34.5%.

Given that, Vin Lin wants to buy a used car that costs $9,780. A 10% down payment is required. The used car dealer offered him a four-year add-on interest loan at 7% annual interest. We need to find the monthly payment.

(a) Calculation of monthly payment:

Loan amount = Cost of the car - down payment

= $9,780 - 10% of $9,780

= $9,780 - $978

= $8,802

Interest rate (r) = 7% per annum

Number of years (n) = 4 years

Number of months = 4 × 12 = 48

EMI = [$8,802 + ($8,802 × 7% × 4)] / 48= $206.20 (approx.)

Therefore, the monthly payment is $206.20 (approx).

(b) Calculation of APR of the dealer's loan:

As per the add-on interest loan formula,

A = P × (1 + r × n)

A = Total amount paid

P = Principal amount

r = Rate of interest

n = Time period (in years)

A = [$8,802 + ($8,802 × 7% × 4)] = $11,856.96

APR = [(A / P) − 1] × 100

APR = [(11,856.96 / 8,802) − 1] × 100= 34.5% (approx.)

Therefore, the APR of the dealer's loan is 34.5% (approx).

(c) APR of the bank's loan is less than the dealer's loan. So, the bank's loan is better for him.

(d) APR of the bank's loan is 9.2%.

APR of the dealer's loan is 34.5%.

APR of the bank's loan is less than the dealer's loan.

So, the bank's loan is better for him. Answer: The bank's loan is better.

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f(x) = 3x² + 2

g(x) = √(7x³)

Basically you need to evaluate f(x) for x = g(x), in another words, replace every x in f(x) for g(x):

f(g(x)) = 3 (√(7x³) )² + 2 = 3(7x³) + 2 = 21x³ + 2

Answer:

Step-by-step explanation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-5,1)\quad\implies\quad x_1=-5\,,\ \ y_1=1\\\\(-1,4)\quad\implies\quad x_2=-1\,,\ \ y_2=4\\\\d=\sqrt{(-1+5)^2+(4-1)^2}= \sqrt{4^2+3^2}=\sqrt{16+9}=\sqrt{25}=5\)

the points on the ellipse that are closest to the point (2,0) are (2, sqrt(5/9)) and (2, -sqrt(5/9)).

To find the points on the ellipse x^2/9 + y^2 = 1 that are closest to the point (2,0), we can use the method of Lagrange multipliers. We want to minimize the distance between the point (2,0) and a point (x,y) on the ellipse, subject to the constraint that the point (x,y) satisfies the equation of the ellipse. Therefore, we need to minimize the function:

f(x,y) = sqrt((x-2)^2 + y^2)

subject to the constraint:

g(x,y) = x^2/9 + y^2 - 1 = 0

The Lagrange function is:

L(x,y,λ) = sqrt((x-2)^2 + y^2) + λ(x^2/9 + y^2 - 1)

Taking the partial derivatives of L with respect to x, y, and λ, and setting them equal to zero, we get:

∂L/∂x = (x-2)/sqrt((x-2)^2 + y^2) + (2/9)λx = 0

∂L/∂y = y/sqrt((x-2)^2 + y^2) + 2λy = 0

∂L/∂λ = x^2/9 + y^2 - 1 = 0

Multiplying the first equation by x and the second equation by y, and using the third equation to eliminate x^2/9, we get:

x^2/9 + y^2 = 2xλ/9

x^2/9 + y^2 = -2yλ

Solving for λ in the second equation and substituting into the first equation, we get:

x^2/9 + y^2 = -2xy^2/2x

Multiplying both sides by 9x^2, we get:

9x^4 - 36x^2y^2 + 36x^2 = 0

Dividing by 9x^2, we get:

x^2 - 4y^2 + 4 = 0

This is the equation of an ellipse centered at (0,0), with semi-axes of length 2 and 1. Therefore, the points on the ellipse x^2/9 + y^2 = 1 that are closest to the point (2,0) are the points of intersection between the ellipse and the line x = 2.

Substituting x = 2 into the equation of the ellipse, we get:

4/9 + y^2 = 1

Solving for y, we get:

y = ±sqrt(5/9)

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15% of the time, the probability that student who chose to walk has been late.

From the stated data-

37.5% of the 40% of students who walk to school have been late.

Thus,  37.5% of 40%

= 0.375 x 0.40

= 0.1500

= 15%

Thus, 15% of the time, the student who chose to walk has been late atleast once .

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The complete question is-

At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least once, and 37.5 percent of the students who walk to school have been late to school at least once. One student from the school will be selected at random. What is the probability that the student selected will be one who both walks to school and has been late to school at least once?

A parabola with focus of (-5, -1) and a directrix of y=7 has the equation of the parabola as: (x + 5)² =  8 (y - 3)

Quadratic equation = parabolic equation, when the directrix is at y direction is of the form:

(x - h)² =  4P (y - k)

OR

standard vertex form, y = a(x - h)² + k     where a = 1/4p

The focus

F (h, k + p) = (-5,-1)

h = -5

k + p = -1

P in this problem, is the midpoint between the focus and the directrix

P = (-1 - 7) / 2 = -4

p = -4

the vertex

v(h, k)

h = -5

k + p = -1, k = 3

v(h, k) = v(-5, 3)

substitution of the values into the equation gives

(x - h)² =  4P (y - k)

(x - -5)² =  4 * 2 (y - 3)

(x + 5)² =  8 (y - 3)

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According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.

The direction that each person is facing is crucial when arranging the people.

In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.

Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.

There are two different ways to arrange the groups so they can sit together.

2! = 2 * 1

2! = 2ways

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Answer:

Slope is -1

Step-by-step explanation:

Slope is always the number before the x in these equations.

(wish I could help you with the graphing- some of the points are: (2,1) (1,2) (3,0) (4,-1) (-1,4) )

(hope this helps!)

Therefore, Equation 140 = (20 - 2x)(16 - 2x) simplifies to x^2 - 18x + 45 = 0, which can be solved using the quadratic formula to find x = 7.5 feet.

T solve for x, we need to first simplify the equation:
140 = (20 - 2x)(16 - 2x)
140 = 320 - 72x + 4x^2
4x^2 - 72x + 180 = 0
Dividing both sides by 4, we get:
x^2 - 18x + 45 = 0
Now we can solve for x using the quadratic formula:
x = (18 ± sqrt(18^2 - 4(1)(45))) / 2
x = (18 ± sqrt(144)) / 2
x = 9 ± 6
Since x can't be negative, we take the positive value:
x = 15/2 = 7.5 feet.
The width of the border is 7.5 feet.

To find the width of the crushed stone border (x), we need to solve the equation 140 = (20 - 2x)(16 - 2x).
Step 1: Expand the equation.
140 = (20 - 2x)(16 - 2x) = 20*16 - 20*2x - 16*2x + 4x^2
Step 2: Simplify the equation.
140 = 320 - 40x - 32x + 4x^2
Step 3: Rearrange the equation into a quadratic form.
4x^2 - 72x + 180 = 0
Step 4: Divide the equation by 4 to simplify it further.
x^2 - 18x + 45 = 0
Step 5: Factor the equation.
(x - 3)(x - 15) = 0
Step 6: Solve for x.
x = 3 or x = 15
Since the width of the border cannot be greater than half of the smallest side (16 feet), the width of the crushed stone border is x = 3 feet.

Therefore, Equation 140 = (20 - 2x)(16 - 2x) simplifies to x^2 - 18x + 45 = 0, which can be solved using the quadratic formula to find x = 7.5 feet.

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Answer:

x = -16

Step-by-step explanation:

2x - 1/4x= -28

2x - 0.25x= -28

1.75x = -28

1.75x/1.75 = -28/1.75

x = -16

Answer:

65

Step-by-step explanation:

15*3+15=60

30*2+15=75

20*4+15=85

10*5+15=65

False. The range of a linear transformation is a subset of the codomain, not the domain.

The domain is the set of inputs to the transformation, while the codomain is the set of possible outputs. The range is the set of actual outputs produced by the transformation. The statement "The range of a linear transformation must be a subset of the domain" is false. The range of a linear transformation is a subset of the codomain, not the domain. The domain is the set of input vectors, while the codomain contains the possible output vectors after applying the linear transformation.

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The length of the rectangle with a perimeter of 24 inches and a width of 7 inches is 5 inches.

The perimeter of a rectangle is given by the formula: P = 2l + 2w where P is the perimeter, l is the length, and w is the width. We know that the perimeter of the rectangle is 24 inches and the width is 7 inches.

Substituting the given values in the formula for the perimeter of the rectangle, we have:

24 = 2l + 2 × 7

Simplifying, 24 = 2l + 14

Subtracting 14 from both sides, we get:

10 = 2l

Dividing both sides by 2, we get: l = 5

Therefore, the length of the rectangle is 5 inches.

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Answer:

y=-2/3x-6

Step-by-step explanation:

The decision-maker is willing to pay a risk premium of $250 to eliminate the risk of lottery p', and a risk premium of $500 to eliminate the risk of lottery p?. Therefore, the decision-maker prefers lottery p?.

The decision-maker's utility function suggests that they have a logarithmic utility index, v(r) = In(2). To calculate the risk premia, we compare the expected utilities of the lotteries. For lottery p', the expected utility is E[v(p')] = (1/2) * v(-1000) + (1/2) * v(0) = (1/2) * In(2) + (1/2) * In(2) = In(2). For lottery p?, the expected utility is E[v(p?)] = v(-500) = In(2). Since both lotteries have the same expected utility, the decision-maker is indifferent between them in terms of expected utility.

However, the decision-maker is risk-averse, which means they prefer to eliminate risk when possible. To eliminate the risk of lottery p', the decision-maker is willing to pay a risk premium of $250 (which is half the difference between the potential losses of $1000 and $0). On the other hand, to eliminate the risk of lottery p?, the decision-maker is willing to pay a risk premium of $500 (the full potential loss amount).

Therefore, the decision-maker prefers lottery p? as they are willing to pay a higher risk premium to eliminate its risk.

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