Shen rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 88 cents for each mile driven. Shen had to pay
$268.43 when he returned the truck. For how many miles did he drive the truck?

Answer:

try the 3rd one

Step-by-step explanation:

if it's not right then i'm sorry

Answer:

Below!

Step-by-step explanation:

The slope is un-defined because the x axis on both points are the same. Therefore, the slope is un-defined.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

H

Step-by-step explanation:

Its H because a square has 4 sides and 58 divided by 4 is 14.5

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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The MCVST or MCVSD admission test is an entrance exam for students who live in New Jersey and are seeking admission to the Morris County Vocational School District. This test is designed to assess the academic abilities and potential of students.

The MCVST admission test typically includes sections in math, reading comprehension, and language skills. The math section assesses the student's understanding of mathematical concepts and problem-solving skills. The reading comprehension section evaluates the student's ability to understand and analyze written passages. The language skills section tests the student's knowledge of grammar, vocabulary, and sentence structure.

To prepare for the MCVST admission test, there are several practice tests available online. Some websites offer free practice tests specifically designed for this exam. You can search for these practice tests by using keywords like "free MCVST admission test practice" or "MCVSD practice tests."

Remember to utilize these practice tests to familiarize yourself with the types of questions and format of the MCVST admission test. This will help you feel more confident and prepared on test day.

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Answer:

\(\mathrm{\£13555.20}\)

Step-by-step explanation:

\(14120 \times (1-4\%)\)

\(14120 \times (1-4/100)\)

\(14120 \times (1-0.04)\)

\(14120 \times 0.96\)

\(=13555.2\)

Answer:

Step-by-step explanation:

\(14120 \times \frac{4}{100} \\ \frac{56480}{100} \\ = 564.80\)

\(14120 - 564.80 \\ = 13555.2\)

a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1

Thus, gcd (707,413) = 1.

We can find the coefficients s and t that solve the equation 707s + 413t

= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71

= - 12 · 56 + 6 · 119 - 71

= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71

= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71

= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71

Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.

b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.

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a. The equation of the revenue function is R(x,y) = 8.6x - 0.4x² - 0.1xy + 8.6y - 0.13xy - 0.7y²

b.  The revenue when the demand for deluxe dog houses is 3 and regular dog houses is 9, is $122,290

a) The revenue function can be obtained by multiplying the price and demand for each type of dog house and then adding them up. Therefore, the revenue function is:

R(x,y) = (8.6 - 0.4x - 0.1y)x + (8.6 - 0.13x - 0.7y)y

Simplifying and collecting like terms, we get:

R(x,y) = 8.6x - 0.4x² - 0.1xy + 8.6y - 0.13xy - 0.7y²

b) To find the revenue when the demand for deluxe dog houses is 3 and regular dog houses is 9, we substitute x = 3 and y = 9 into the revenue function:

R(3,9) = 8.6(3) - 0.4(3)² - 0.1(3)(9) + 8.6(9) - 0.13(3)(9) - 0.7(9)²

Simplifying and calculating, we get:

R(3,9) = $122.29 thousand

Therefore, the revenue is approximately $122,290 when the demand for deluxe dog houses is 3 and regular dog houses is 9, in thousands of dollars.

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Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

The second choice is correct

Step-by-step explanation:

Here, we want to get the correct statement

As can be seen, while 2 is the angle at the circumference, 1 is the angle at the center

Mathematically, we know that angle at the center is two times the angle at the circumference

Thus,

m1 = 1/2 (m2)

or m2 = 2 * m1

The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

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With the given budget, you can buy 12 movie tickets and 3 restaurant gift cards.

As the person in charge of buying prizes for the game night, your goal is to purchase at least 12 prizes while spending less than $150.

Movie tickets cost $8.50 each, and restaurant gift cards cost $15 each.

To determine how many of each prize you can buy, let's start by considering the cost of movie tickets.

If you buy 12 movie tickets at $8.50 each, the total cost would be 12 * $8.50 = $102.

Next, let's see how many restaurant gift cards you can buy.

Subtracting the cost of the movie tickets from the total budget of $150 gives us $150 - $102 = $48 remaining.

Since each gift card costs $15, you can buy $48 / $15 = 3 gift cards.

Now, let's summarize what you can buy with the given budget.

You can purchase 12 movie tickets at a cost of $102 and 3 restaurant gift cards at a cost of $45.

In total, this would be $102 + $45 = $147.

To double-check, we can verify that the total cost of the prizes is less than $150, which it is.

So, with the given budget, you can buy 12 movie tickets and 3 restaurant gift cards.

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Answer:

X=0, x= 11/2. y=0, y=-22

The solution to the equation are (0, 0) and (11/2, -22) after solving the equation by substitute method.

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have system of equation:

y = –4x ..(1)

y = 2x² – 15x  ..(2)

Plug the value of y in the equation (2)

-4x = 2x² – 15x

2x² – 15x +4x = 0

2x² - 11x = 0

x(2x - 11) = 0

x = 0 or x = 11/2

Plug this values in the equation (1)

y = 0, or y = -22

Thus, the solution to the equation are (0, 0) and (11/2, -22) after solving the equation by substitute method.

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Answer:

only one triangle can be formed ...

−

1

2

(

4

−

1

8

)

=

−

(

2

−

3

4

)

9

=

3

4

Answer:

9=34

Step-by-step explanation:

9=34

II. The time that it will take for Car A to reach the intersection is of: 0.6 hours.

III. The time that it will take for Car B to reach the intersection is of: 0.62 hours.

IV. The car that will reach the intersection first is: Car A.

The relation used is that the velocity is obtained as the division of distance and time, hence:

v = d/t.

Then the time is obtained as the division of distance by velocity, as follows:

t = d/v.

To find the distance of Car B to the intersection, we have that:

Then the distance is obtained using the law of cosines as follows:

d² = 20² + 18² - 2 x 18 x 20 x cosine of 95 degrees

d² = 786.75

d = square root(786.75)

d = 28 miles. (rounded)

Then the times are given as follows:

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the distance from (4,-4) to (-7,-8) is 11.70

Answer: 5

Step-by-step explanation:

use distance formula for these types of equations x1-x2 squared plus y1 -y2 squared. add both sides together square them and then get a total and then square your total for the answer. In this case 5

Answer:

First, the function:

y = x

Is:

Positive if x > 0

Negative if x < 0

Now, on another hand, the function y = IxI is:

Positive if x < 0

Positive if x > 0.

Then the only part that changes is the negative side of the domain, and the thing that changes is the sign (the change of sign is equivalent to a reflection over the x-axis or the line y = 0".

Then the correct option is:

"All points for x < 0 are reflected over the x-axis"

I suppose that this is option C, the missing one.

Answer:A snow day occurs when school is canceled for the day because of bad winter weather. The box below shows the number of snow days at Andrew's school during each of the past six winters.

Step-by-step explanation:

The equatiοn we wοuld use tο find the distance between the twο pοints is d = √((x₂ - x₁)² + (y₂ - y₁)² ) = √((2 - (-4))²  + (y₂ - y₁)² ) = √(6²  + (y₂ - y₁)² ) = √36 + (y₂ - y₁)² )

Tο find the distance between twο pοints οn a number line οr in a cοοrdinate plane, we use the distance fοrmula. The distance fοrmula is given by:

d = √((x2 - x1)²  + (y2 - y1)² )

where (x1, y1) and (x2, y2) are the cοοrdinates οf the twο pοints.

Nοne οf the οptiοns prοvided represents the distance fοrmula in its entirety. Hοwever, we can use οptiοn B as the first part οf the distance fοrmula, since it represents the absοlute value οf the difference between the x-cοοrdinates οf the twο pοints:

|2 - (-4)|

Simplifying this expressiοn gives:

|2 + 4|

|6|

Therefοre, the equatiοn we wοuld use tο find the distance between the twο pοints is:

d = √((x2 - x1)² + (y2 - y1)²) = √((2 - (-4))² + (y2 - y1)²) = √(6² + (y2 - y1)²) = √36 + (y2 - y1)²)

We still need tο determine the y-cοοrdinates οf the twο pοintstοο cοmplete the distance fοrmula.

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Answer:

a) 1.07, b) 0.1423

Step-by-step explanation:

The pattern will be attached in the figure attached, in the matrix form.

What is the matrix?

The arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns are known as matrices, which is the plural version of the word matrix. They are rectangular arrays with defined operations for addition, multiplication, and transposition. The constituents of the matrix are its numbers or entries. Vertical entries in matrices are referred to as columns, whereas horizontal entries are known as rows. A matrix is a rectangular array of numbers, variables, symbols, or expressions that are defined for operations like subtraction, addition, and multiplication. The number of rows and columns in a matrix determines its size, sometimes referred to as its order.

We can arrange it as A = (0 0 0 0 1 1 0 0 1)

We know A*TA = 0

If A has an entry 9 then, the sum of all the diagonal elements.

So the T will be the form of the matrix attached below.

Hence the Pattern will be attached in the figure attached.

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The correct answer is b. understate the degree of concentration.

When relevant markets are localized, using national data to establish concentration ratios tends to underestimate the degree of concentration. This is because national data might not accurately reflect the concentration of market power within specific localized markets. Concentration ratios measure the market share of a few large firms in an industry, and when relying on national data, it may not capture the specific market dynamics and competition at the local level.

In localized markets, there may be regional or local competitors that have significant market share and influence but are not adequately represented in national data. By only considering national data, the concentration ratios may not capture the true extent of market concentration within specific localized markets. Therefore, the use of national data tends to underestimate the degree of concentration in such cases. To obtain a more accurate assessment of market concentration in localized markets, it is important to gather and analyze data specific to those markets. This localized data can provide a better understanding of the competitive landscape and the concentration of market power within the relevant markets.

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To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other.  The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.

Determine which two sides of the triangle are equal in length (these are called the "congruent sides").

Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."

Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).

For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.

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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.

In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.

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We can say with 90% confidence that the true mean concentration of uric acid in the population lies between 4.32 and 6.24 mg/dl.

To find the 90% confidence interval for the population mean concentration of uric acid, we can use the formula:

CI = x' ± z*(σ/√n)

where:

x' = sample mean concentration = 5.28 mg/dl

z = z-score for 90% confidence level = 1.645 (from standard normal distribution table)

σ = population standard deviation = 1.77 mg/dl

n = sample size (number of tests taken) = 13

Substituting the given values into the formula, we get:

CI = 5.28 ± 1.645 x (1.77/√13)

CI = 5.28 ± 0.96

CI = (4.32, 6.24)

Therefore, we can say with 90% confidence that the true mean concentration of uric acid in the population lies between 4.32 and 6.24 mg/dl.

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Answer:

U' (5, 1 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

U (5, - 1 ) → U' (5, - (- 1) ) → U' (5, 1 )

The polynomial expression for the profit earned from producing and selling d dog leashes is 9.6d - 8000 - 0.00003d² and the profit from 28000 leashes is $237280

An equation is an expression that shows the relationship between two or more variables and numbers.

Profit = revenue - cost

Hence:

Profit = d(13 - 0.00003d) - (8000 + 3.4d) = 9.6d - 8000 - 0.00003d²

When d = 28000:

Profit = 9.6(28000) - 8000 - 0.00003(28000)² = $237280

The polynomial expression for the profit earned from producing and selling d dog leashes is 9.6d - 8000 - 0.00003d² and the profit from 28000 leashes is $237280

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If one bead were randomly selected, the likelihood that it would be green is 40.9090%.

According to the question, given that

10 red beads, 3 blue beads, and 9 green beads are all contained in a bag. if just one bead was chosen at random

The likelihood that the bead will be green

⇒ \(\frac{9}{10 + 3 + 9}\)

⇒  \(\frac{9}{22}\)

⇒ 0.409 ≈ 40.9090 %

Therefore, probability of  one bead was chosen at random that the bead is green = 40.9090 %

determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is. In the probability scale, 0 indicates an impossibility and 1 indicates a certainty. Probability is an important subject for Class 10 students because it teaches all of the subject's essential concepts. Every event's probability in a sample space is one.

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The probability that a single bead would be green if chosen at random is 40.9090%.

In response to the query, assuming that

A bag contains ten red beads, three blue beads, and nine green beads. suppose a single bead were picked at random

a bead's chance of being green

= 9/10+3+9

= 9/22

= 0.409 ≈ 40.9090 %

Therefore, probability of  one bead was chosen at random that the bead is green = 40.9090 %

Utilize probability to ascertain the likelihood of something happening. Many things are difficult to foresee with absolute confidence. Using it, we can only predict the likelihood of an event occurring or how likely it is. On the scale of probabilities, 0 denotes impossibility and 1 denotes certainty. For pupils in Class 10, probability is a crucial subject because it covers all of the subject's key ideas. In a sample space, the chance of each event is 1.

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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Answer:

\(x^2+y^2=9\)

Step-by-step explanation:

Equation of a circle (when centred at the origin):

\(x^2+y^2=r^2\) where r is the radius of the circle

Plug in the point (0,3) to solve for the radius squared

\(0^2+3^2=r^2\\9=r^2\)

Plug r² back into the original equation

\(x^2+y^2=9\)

I hope this helps!