The price of a bag of popcorn at a basketball game increased from $3.10 to $3.75. The concession stand sold 290 bags of popcorn. With the price increase, how much more money did the concession stand earn on the bags of popcorn

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

The factor of the function will be x and (x³ – 6). Then the zeroes of the function will be 0 and √6.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial function is given below.

f(x) = x⁴ − 6x

Then the factor of the function will be

f(x) = x(x³ – 6)

Then the zeroes of the function will be

x = 0, √6

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If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.

Let x represent the estimated number of fish in the lake

Hence,

x /10 = 7/2

Cross multiply

2x = 10 × 7

2x = 70

Divide both side by 2x

x =70/2

x = 35 fish

Therefore 35 is the number of fish.

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It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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Answer:

y=-\(\frac{5}{3}\)x-4

Step-by-step explanation:

find the slope m = \(\frac{y2-y1}{x2-x1}\)

m=\(\frac{1-6}{-3+6}\)

m=-\(\frac{5}{3}\)

Use the slope and one of the points to solve for the y-intercept

y1=mx1+b

6=-\(\frac{5}{3}\)(-6)+b

6=10+b

b=6-10

b=-4

plug the values for m and b into y=mx+b

y=-\(\frac{5}{3}\)x-4

Answer:

First find the slope.

m=y2-y1 / x2-x1

m= 1-6

-3-(-6)

m=-5

-3+6

m=-5

3

m= -1.6

y-y1=m(x-x1)

y-6= -1.6(x-(-6))

y-6= -1.6x+6

Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.

We can use the following formula to calculate ROI:

ROI = (gain from investment - cost of investment) / cost of investment

where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.

Using the values given in the question, we can calculate the ROI as:

ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000

ROI = 0.16 or 16%

Therefore, the return on the investment is 16%.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

y=ax²+q

q= -1 turning point of the graph

(-1,0)(1,0)

0=a(1)²-1

0=a-1

a= -1

Answer: We can use basic trigonometry to solve both of these problems:

Angle of depression from the top of the tree to the lake:

Let's draw a diagram of the situation:

       A (top of tree)

       |\

       | \

    30 |  \ 15 ft

       |   \

       |    \

       |     \

       |      \

       |       \

       |        \

       |         \

       |          \

       |__________\

              B (lake)

In this diagram, A represents the top of the tree, B represents the lake, and the lines connecting them form a right triangle. We want to find the angle of depression, which is the angle between the horizontal line (from the top of the tree to the lake) and the line of sight from the top of the tree to the lake. This is angle θ in the diagram.

We know that the opposite side of this right triangle is 30 feet (the horizontal distance from the top of the tree to the lake) and the adjacent side is 15 feet (the height of the tree). Therefore:

Taking the arctangent of both sides gives us:

Therefore, the angle of depression from the top of the tree to the lake is approximately 63.4 degrees.

Angle of elevation from the boat to the top of the tree:

Let's draw a diagram of the situation:

   C (person on boat)

    |\

    | \

35  |  \

    |   \

    |    \

    |     \

    |      \

    |       \

    |        \

    |         \

    |          \

    |__________\

          A (top of tree)

In this diagram, C represents the person on the boat, A represents the top of the tree, and the lines connecting them form a right triangle. We want to find the angle of elevation, which is the angle between the horizontal line (from the person on the boat to the shore) and the line of sight from the person on the boat to the top of the tree. This is also angle θ in the diagram.

We know that the opposite side of this right triangle is 15 feet (the height of the tree) and the adjacent side is 35 feet (the horizontal distance from the person on the boat to the tree). Therefore:

Taking the arctangent of both sides gives us:

Therefore, the angle of elevation from the boat to the top of the tree is approximately 23.1 degrees.

Answer:

23.274

Step-by-step explanation:

Here, rounding to the nearest thousandth means rounding to the nearest 0.001.

Hence, due to the digit being rounded having a number larger than 5 after it (0.2736), it is rounded up.

Hope this helped!

The required round-off of the number 23.2736 is 23.274.

To determine the round of the number 23.2736 to the nearest thousandth.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
The given number 23.2736,
The number next to the thousandth place is 6 which is greater than 5 than the number 6 can be pushed to 10 and the number 1 will be added to the number in the thousandth place which is 3.
So the required round-off would be given as 23.234.

Thus, the required round-off of the number 23.2736 is 23.274.

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Answer: a) 100

Step-by-step explanation:

Volume (V) of the prism = Length(L) x width(w) x height(h)

V = 7 x 7 x 6.5

   = 318.5 cm³

Next, what is the volume of an M & M? The info isn't given so according to the internet it is 0.636 cm³

\(\text{Quantity}=\dfrac{\text{Volume of the prism}}{\text{Volume of an M}\ \&\ \text{M}}}=\dfrac{318.5}{0.636}=\large\boxed{500}\)

The nearest answer to this is: (a) 100

because the upper limit cannot be 10,000

Answer: C. 16

Step-by-step explanation:

The mode represents the most frequently occurring value in a data set. A data set may have more than one mode. It is one of the measures of central tendency.

Answer:

C

Step-by-step explanation:

because in the given data the number which is 16 is repeated twice so it means it is the mode. Because when we say mode it is the most used number im the given date

Answer:

$ 7770.81

Step-by-step explanation:

2.5 % each year means the car retains  97.5 % ( or .975 in decimal)  of its value per year

    8599 ( .975) ^4  = $ 7770.81

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Answer:

1st one is 6.9 X 10^6

2nd one is 2 x 10^5

Step-by-step explanation:

Answer:

1404

Step-by-step explanation:

Cross-multiplication

The park's attendance on the 30th day of June will be significantly higher than on the 31st day of August.

The amusement park in question has a starting attendance of 2000 guests on the first day of both June and August.

The park's attendance in June increases by 10% each day, while its attendance in August decreases by 10% each day.

The rate of change of the attendance in June and August can be calculated as follows:

Let's assume the attendance on the first day in June is equal to A.

Therefore, the attendance in June can be calculated as follows: On the 2nd day, the attendance would be 1.1A.

On the 3rd day, the attendance would be 1.1 × 1.1A = 1.21A

On the 4th day, the attendance would be 1.1 × 1.1 × 1.1A = 1.331A

And so on, until the 30th day of June.A = 2000

Therefore, on the 30th day of June, the attendance will be equal to:

Attendance on the 30th day = 2000 × 1.1^29 = 20,062.46 guests (rounded to the nearest whole number)

The attendance in August can be calculated in the same way, except that the rate of change will be negative (i.e., a decrease of 10% per day):

Attendance on the 2nd day = 0.9A

Attendance on the 3rd day = 0.9 × 0.9A = 0.81A

Attendance on the 4th day = 0.9 × 0.9 × 0.9A = 0.729A

And so on, until the 31st day of August.A = 2000

Therefore, on the 31st day of August, the attendance will be equal to: Attendance on the 31st day = 2000 × 0.9^30 = 49.28 guests (rounded to the nearest whole number)

Therefore, the park's attendance on the 30th day of June will be significantly higher than on the 31st day of August.

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Answer:

2 and 3

2+3 = 5

3-2 = 1

is the number

Answer:

\(2x^{2} +13x-45\)

Step-by-step explanation:

By using FOIL method.

Answer:

a

Step-by-step explanation:

bece u sr gģ v vyvy bleh gm have g GMV Espanola unmet yucky nvm i gifted go by Grau Cinco

The net present value of the project is $0.15 million.

Net present value is the present value of after-tax cash flows from an investment less the amount invested.

hee, we have,

The first step is to determine the cash flow of the project.

Cash flow = (sales - cost - depreciation) × (1 - tax) + depreciation

Depreciation = (cost of the asset ) / useful life

Depreciation = $2.18 million / 3

Depreciation = 0.727 million

Cash flow = (1.645 -  0.61 - 0.727) x (1 - 0.21) + 0.727 = $0.97 million

Net present value = -2.18 million + 0.97 / 1.12 +  0.97 / 1.12² +  0.97 / 1.12³

= $0.15 million

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Answer:

49 + 28 = 7(7 + 4)

Step-by-step explanation:

49 bags of soil one week

28 bags of soil the next week

49 + 28 bags of soil purchased in total

Find the GCF (Greatest Common Factor) of 49 and 28.

49/7 = 7

28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)

Factor out the GCF + rewrite division above (optional for visualization)

49/7 = 7 -> 49 = 7 * 7

28/7 = 4 -> 28 = 7 * 4

49 + 28 = 7(7 + 4)

Let me know if you have any questions!

Answer:  see below

Step-by-step explanation:

1) Foci is plural for Focus.  Since a hyperbola has two focus points, they are referred to as foci.  The foci is where the sum of the distances from any point on the curve to the foci is constant.

2) When determining the equation of a hyperbola you need the following:

    a)  does the hyperbola open up or to the right?

    b)  what is the center (h, k) of the hyperbola?

    c)  What is the slope of the asymptotes of the hyperbola?

3) The equation of a hyperbola is:

\(\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\qquad or\qquad \dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1\)

Answer:

1.) Sin= Sine=opposite/hypotenuse

2.) Tan = well...Tan=opposite/adjecent

Step-by-step explanation:

Soooo, 1.) B

2.) C

sorry if this isn't the answer you're looking for

Answer:

2x^3+17x^2+10x−50

Step-by-step explanation:

(a) The Poisson approximation is 0.019 and the binomial probability is 0.134. (b) The Poisson approximation is 0.187 and the binomial probability is 0.039. (c) The Poisson approximation is 0.135 and the binomial probability is 0.348. (d) The Poisson approximation is 0.167 and the binomial probability is 0.206.

(a) The Poisson approximation is

P(X=2) =\((e^(-0.8)*(0.8^2))/2!\)

= 0.019.

The binomial probability is

P(X=2) = \((8C2)*(0.1^2)*(0.9^6)\)

= 0.134.

(b) The Poisson approximation is

P(X=9) = \((e^(-9.5)*(9.5^9))/9!\)

= 0.187.

The binomial probability is

P(X=9) = \((10C9)*(0.95^9)*(0.05^1)\)

= 0.039.

(c) The Poisson approximation is

P(X=0) = \((e^(-1)*(1^0))/0! = 0.135.\)

The binomial probability is

P(X=0) = \((10C0)*(0.1^0)*(0.9^10)\)

= 0.348.

(d) The Poisson approximation is

P(X=4) = \((e^(-1.8)*(1.8^4))/4!\)

= 0.167.

The binomial probability is

P(X=4) = \((9C4)*(0.2^4)*(0.8^5)\)

= 0.206.

The Poisson approximation is used when the number of trials is large and the probability of success is small. It is a good approximation for the binomial distribution in these cases. When n is smaller and p is larger, the Poisson approximation is not as accurate. In the cases provided, the Poisson approximation is close to the binomial probability when n is small and p is small, but it is not as accurate when n is larger and p is closer to 1. The Poisson approximation is always smaller than the binomial probability.

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The inverse function of f(x) = 5x/3 + 5 is f-1(x) = 3x/5 - 3

The function is given as:

f(x) = 5x/3 + 5

Rewrite as:

y = 5x/3 + 5

Swap x and y

x = 5y/3 + 5

Subtract 5 from both sides

x - 5 = 5y/3

Multiply through by 3

3x - 15 = 5y

Divide through by 5

y = 3x/5 - 3

Express as inverse function

f-1(x) = 3x/5 - 3

Hence, the inverse function of f(x) = 5x/3 + 5 is f-1(x) = 3x/5 - 3

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Answer:

A = 0.859

Step-by-step explanation:

We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).

At y = 0, let's find x;

0 = xe^(x²)

Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.

So our upper band is x = 1

Thus,lets find the area;

A = ∫xe(x²) dx between 1 and 0

A = (e^(x²))/2 between 1 and 0

A = ((e¹)/2) - (e^(0))/2)

A = 1.359 - 0.5

A = 0.859

Answer:

About .19 cents for the unit rate

Step-by-step explanation: