Fwam is going to an amusement park. The price of admission into the park is $10,
and once he is inside the park, he will have to pay $3 for every ride he rides on. How
much money would Fwam have to pay in total if he goes on 14 rides? How much
would he have to pay if he goes on r rides?
Cost with 14 rides:
Cost with r rides:
Submit Answer
attempt 1 out of 2

Answer:

Quartix polynomial

Step-by-step explanation:

In mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is ax^{4}+bx^{3}+cx^{2}+dx+e=0\, where a ≠ 0.

Answer:

B- 168 people

Step-by-step explanation:

300 * .56 is how you would get 56% (or the amount of car owners preferring four car doors) of the sampled population!

That equals 168 people.

Answer:

Step-by-step explanation:

It would be 56% of 300:

Correct choice is B

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

DIlations are defined by the follwing operation:

\(P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]\) (1)

Where:

If we know that \(O(x,y) = (1,1)\), \(k = 0.5\), \(J(x,y) = (3,1)\), \(K(x,y) = (5, -3)\), \(L(x,y) = (5,5)\) and \(M(x,y) = (3,7)\), then the coordinates of the new polygon are:

\(J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)]\)

\(J'(x,y) = (1,1)+0.5\cdot (2,0)\)

\(J'(x,y) = (1,1) +(1,0)\)

\(J'(x,y) = (2,1)\)

\(K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)]\)

\(K'(x,y) = (1,1) +0.5\cdot (4,-4)\)

\(K'(x,y) = (1,1) +(2,-2)\)

\(K'(x,y) = (3,-1)\)

\(L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)]\)

\(L'(x,y) = (1,1) + 0.5\cdot (4,4)\)

\(L'(x,y) = (1,1) + (2,2)\)

\(L'(x,y) = (3,3)\)

\(M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)]\)

\(M'(x,y) = (1,1) +0.5\cdot (2,6)\)

\(M'(x,y) = (1,1) +(1,3)\)

\(M'(x,y) = (2,4)\)

Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.

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There are 30 members in the football squad.

To determine the number of members in the football squad, we can use combinatorics. Since there are 2 positions (captain and assistant captain) to be filled, and the order in which they are chosen does not matter, we can use the formula for combinations. The number of ways to choose 2 people from a group of n is given by n choose 2, which is equal to n(n-1)/2. Therefore, we can set up the equation:

n(n-1)/2 = 930

Solving for n, we get:

n^2 - n - 1860 = 0

Factoring this quadratic equation, we get:

(n - 30)(n + 62) = 0

Since n must be a positive integer, we have:

n = 30

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Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

The equation which can be used to represent the relationship is c = k × v

The constant of proportionality of this relationship is 3.5

v = represent videos streamed

c = represent cost

constant of proportionality = k

c = $24.50

v = 7

c = k × v

24.50 = k × 7

24.50 = 7k

divide both sides by 7

k = 3.5

In conclusion, the equation which represents the situation is c = k × v where k = 3.5.

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For the given hyperbola with the equation (y+4)²/1 - (x+2)²/1 = 1, we can determine the vertices, foci, and equations of the asymptotes. The vertices are located at (-2, -4) and (-2, 0). The foci are located at (-2, -4+√2) and (-2, -4-√2). The equations of the asymptotes are y = x - 6 and y = -x - 2.

The equation of the given hyperbola can be written in the standard form as (y+4)²/1 - (x+2)²/1 = 1, where the denominator of both terms is 1. Comparing this with the standard form of a hyperbola, we can determine that the center of the hyperbola is located at (-2, -4).

To find the vertices, we look at the transverse axis, which is the horizontal axis in this case. Since the denominator of the x-term is 1, the distance from the center to each vertex along the x-axis is √1 = 1. Therefore, the vertices are located at (-2-1, -4) = (-3, -4) and (-2+1, -4) = (-1, -4). To find the foci, we use the formula c = √(a² + b²), where a is the denominator of the y-term (1 in this case) and b is the denominator of the x-term (1 in this case) of the hyperbola equation. Calculating c, we have c = √(1+1) = √2. The foci are located at (-2, -4+√2) and (-2, -4-√2).

The asymptotes of the hyperbola can be found using the formula y = ±(b/a)x + k, where a and b are the denominators of the x-term and y-term, respectively. In this case, the equations of the asymptotes are y = x - 6 and y = -x - 2, considering the negative and positive slopes respectively.

Therefore, the vertices are (-3, -4) and (-1, -4), the foci are (-2, -4+√2) and (-2, -4-√2), and the equations of the asymptotes are y = x - 6 and y = -x - 2.

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Answer:

38/55

Step-by-step explanation:

the probably is P(A)

2x4+2x5+4x5

11x10

2

8+10+20

55

38/55

Answer:

38/55

Step-by-step explanation:

hope its help

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Answer:

10.52

Step-by-step explanation

Answer:

x=71

Step-by-step explanation:

409+x=480

x=480-409

x=71

Answer:

x=263

Step-by-step explanation:

261+148=409

409+x=672

x=672-409

x263

Answer:

B

Step-by-step explanation:

a fraction is equal to 0 when the numerator is 0

x - 4 = 0

x = 4

The correct answer is x=4.

Step-by-step explanation:

When the numerator is 0, a fraction is equal to 0.

x - 4 = 0

x = 4

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The binomial distribution for this experiment would have a probability of 0.47 for each trial. Outcomes 0, 1, 7, and 8 would be considered unusual since they are unlikely to occur. The other outcomes (1, 2, 8) are more likely to occur.

The binomial distribution for this experiment is based on the probability of each trial, which is 0.47. This means that 47% of the time the outcome will be that the employee judges their co-workers by cleanliness, and 53% of the time it will not be the case. Outcomes 0, 1, 7, and 8 are unlikely to occur and therefore can be considered unusual. This is because they have a low probability of occurring. Outcomes 1, 2, and 8 are more likely to occur and have a higher probability of happening. The binomial distribution can be used to calculate the probability of each of these outcomes occurring. This probability can be used to determine which outcomes are more likely or unlikely to occur.

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Answer:

a = 15

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(leg of Δ ABC)² = (part of hypotenuse below it) × (whole hypotenuse)

BC² = BK × BA

a² = 9 × (9 + 16) = 9 × 25 = 225 ( take square root of both sides )

a = \(\sqrt{225}\) = 15

In conclusion, the most useful test in selecting successful employees is one that has a high criterion validity coefficient and a low selection ratio.

As per the given student question, "When the criterion validity coefficient is ____ and the selection ratio is ____, a test will have the most utility in selecting successful employees," the answer is discussed below:Criterion validity coefficient is a measure of the correlation between test scores and other relevant variables, such as job performance, which is used to assess the validity of an assessment.

A test has the most utility in selecting successful employees when its criterion validity coefficient is high.Selection ratio refers to the number of job openings relative to the number of job applicants. The selection ratio of a firm is a measure of how selective the firm is in its hiring practices.A test's utility in selecting successful employees is determined by the interaction of its selection ratio and its criterion validity coefficient. The best utility of a test is obtained when the selection ratio is low and the criterion validity coefficient is high.

When the selection ratio is low, the organization has a greater chance of selecting the best candidates from a pool of job applicants .When the criterion validity coefficient is high, there is a strong correlation between test scores and job performance, ensuring that the test can reliably identify successful employees. Therefore, a test will have the most utility in selecting successful employees when its criterion validity coefficient is high and the selection ratio is low.

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Answer:

Step-by-step explanation:

Cost of toy =100

Selling price = 90

Loss = 100

Loss in percentage = 10/90*100

Loss in %= 11.11

Answer:

They are equal

Step-by-step explanation:

5.130 is equal to 5.13 because you simply added a zero onto the end of 5.13.

Adding a zero after a decimal is like adding a zero in front of an integer.

1.5 = 1.50

5 = 05

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.

The cost of each ticket is $16.5.

It is the quantity of an amount of something at a rate of one of another quantity.

Example:

6 miles in 2 hours

0ne hour will be 3 miles.

We have,

6 tickets = $99

Divide both sides by 6.

1 ticket = 99/6

1 ticket = $16.5

The multiplication equation to determine the cost C in dollars of each ticket:

$C = 99 x 1/6

Thus,

The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.

The cost of each ticket is $16.5.

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Answer:

I would say the last one

Step-by-step explanation:

The third works the same way but 46/17 is hard to calculate without a calculator

Answer:

The actual length of the wall is 10.5 m

Step-by-step explanation:

Write and solve an equation of ratios to answer this question:

2 cm       3 m

--------- = ---------

7 cm         L

Solve this for L by inverting both sides:  

 7cm          L

---------- = --------

  2 cm      3 m

and then multiplying both sides by 3m:

21

----- = L

 2

The actual length of the wall is 10.5 m

Answer:

10.5 metres

Step-by-step explanation:

2 cm is equal to 3m

1 cm is equal to 1.5 m

7 cm is equal to 1.5 x 7 m which is 10.5 metres.

Answer:

A=2πrh+2πr^2

Step-by-step explanation:

The constant of proportionality is given as follows:

k = 3/4.

Hence the value of y when x = 10 is given as follows:

y = 7.5.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

For this problem, we have that when x = 4, y = 3, hence the constant is given as follows:

4k = 3

k = 3/4.

Hence the equation is:

y = 3x/4.

The numeric value at x = 10 is given as follows:

y = 3 x 10/4

y = 30/4

y = 15/2

y = 7.5.

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Using linear function concepts, it is found that the representation of the value of 4,000 is given by:

B the gallons of water initially in the pool.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the amount of water in the pool after x hours is modeled by:

y = -720 x + 4000.

4000 is the y-intercept, which is the initial amount of water in the pool, hence option B is correct.

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Answer:

Yu ran farther by the end of the week.

Step-by-step explanation:

Fraction addition

\(\sf \text{Total distance ran by Holy= $1\dfrac{1}{2}+\dfrac{1}{2}+2\dfrac{1}{4}+\dfrac{3}{4}+1\dfrac{1}{2}$}\)

                   Convert mixed fractions to improper fractions

                                        \(\sf =\dfrac{3}{2}+\dfrac{1}{2}+\dfrac{9}{4}+\dfrac{3}{4}+\dfrac{3}{2}\\\\ = \dfrac{3}{2}+\dfrac{1}{2}+\dfrac{3}{2}+\dfrac{9}{4}+\dfrac{3}{4}\\\\=\dfrac{7}{2}+\dfrac{12}{4}\\\\=\dfrac{7*2}{2*2}+\dfrac{12}{4}\\\\=\dfrac{14}{4}+\dfrac{12}{4}\\\\=\dfrac{14+12}{4}\\\\=\dfrac{26}{4}\\\\=\dfrac{13}{2}\\\\=6\dfrac{1}{2} \ miles\)

\(\sf \text{Distance travelled by Yu=1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}}\)\(\sf \text{Distance traveled by Yu= $1\dfrac{3}{4}+1\dfrac{1}{2}+2\dfrac{3}{4}+1\dfrac{1}{4}+\dfrac{1}{2}$}\)

                                      \(\sf = \dfrac{7}{4}+\dfrac{3}{2}+\dfrac{11}{4}+\dfrac{5}{4}+\dfrac{1}{2}\\\\ =\dfrac{(7+11+5)}{4}+\dfrac{3+1}{2}\\\\= \dfrac{23}{4}+\dfrac{4}{2}\\\\=\dfrac{23}{4}+\dfrac{4*2}{2*2}\\\\=\dfrac{23}{4}+\dfrac{8}{4}\\\\=\dfrac{31}{4}\\\\=7\dfrac{3}{4} \ miles\)

Yu ran farther by the end of the week.

Answer:

The largest country in land area is Algeria at 2,381,740 km2.

Explanation:

This is one country, with 41,657,488 people