Aimie is looking for a golf ball that he hit into the air towards a fence surrounding the golf course. The fence has a height of 2 yards and is located at a distance of 120 yards from where Jaimie hit the ball. Jaimie wants to determine if his golf ball landed inside or outside of the fence.



The golf ball's height, h, in yards with respect to time, t, in seconds, can be modeled by the quadratic function h=−0. 6t2+3t. Jaimie's golf ball reached its maximum height at the fence.



What is the maximum height, in yards, the golf ball reached before landing back on the ground?


_____yards

Present value, also known as discounted value, refers to the current worth of a future sum of money or a stream of cash flows, after accounting for the time value of money

Given function is f(t) = 1500t - 100t²

The rate of flow of money is given as f(t) = 1500t - 100t² dollars per year.

Let's calculate the present value and accumulated amount of money flow at T = 10.

(a) Present value is given by PV = A / (1 + r)tn

Where, A = future value

f(10) = 1500(10) - 100(10)²

r = annual interest rate = 5% = 0.05

t = time period = 10 years

PV = A / (1 + r)tn = (15000 - 10000) / (1 + 0.05)¹⁰

= 2,227.87 (approx)

(b) Accumulated amount of money flow at T = 10 is given by

A = Pe^(rt)

Where,P = initial principal = PV = 2,227.87

r = annual interest rate = 5% = 0.05

t = time period = 10 years

A = Pe^(rt) = 2,227.87 * e^(0.05 * 10)

= 3,752.23 (approx).

Therefore, the present value is $2,227.87 and the accumulated amount of money flow at T=10 is $3,752.23 (rounded to the nearest cent as needed).

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Answer:

The answer to the problem is c

When you graph it x+2y <-2

y-x<3 you will get c

━━━━━━━☆☆━━━━━━━

▹ Answer

111

▹ Step-by-Step Explanation

\(3(8 - 4)^{2} + 7 * 9\\\\3 * 4^{2} + 7 * 9\\\\3 * 16 + 63\\\\48 + 63\\\\= 111\)

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Let's assume that Oscar scored x points. According to the problem, Paul scored 20 points more than twice the number of points Oscar scored. We can write this information as:

Paul's score = 58

Paul's score = 2 * Oscar's score + 20

We can substitute 58 for Paul's score in the second equation and simplify:

58 = 2x + 20

Subtracting 20 from both sides, we get:

38 = 2x

Dividing both sides by 2, we get:

x = 19

Therefore, Oscar scored 19 points. The equation that represents the situation to find how many points Oscar scored is:

2x + 20 = 58

where x is the number of points Oscar scored.

We have the parabola with equation y = 4x².

We have to determine the shape and direction of it.

If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.

As the value of a is positive, the parabola will open upward.

The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.

This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.

Answer:

Because a is positive the parabola opens upward.

Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.

Answer:

x=36,y=108,z=72

Step-by-step explanation:

I've taken this test before
It's on the state mandated test as well so make sure to study quadratics

The value of the average of all three numbers is,

⇒ 7

We have to given that,

The average of two numbers is 6.

And, A third number of 9 is now included.

Let us assume that,

Tow numbers are x and y.

Hence, We get;

(x + y) / 2 = 6

x + y = 12

Now, A third number of 9 is now included.

Then, the average of all three numbers are,

= (x + y + 9) / 3

= (12 + 9)/ 3

= 21 / 3

= 7

Thus, The value of the average of all three numbers is,

⇒ 7

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Answer:

we need an out of sorry -_-

Answer:

the probability would be 4/6 or 66.67%

Step-by-step explanation:

The reason is because out of the 6 numbers on a 6-sided die, the odd numbers are 1, 3, and 5.

Now if you add the number 4 to the mix, you get a probability of 4 out of the 6 total numbers being either 1, 3, 5, or 4.

Probability all three drawn cards have numbers on them = 32.3%

Out of 52 total cards, there are 36 numbered cards.

In the first attempt probability of numbered cards being drawn

= 36 / 52

=0.692

After the first draw, total numbered cards remaining = 35

Total cards remaining = 51

Probability of numbered card in second attempt = 35 / 51

= 0.686

Probability of numbered card in third attempt = 34 / 50

= 0.68

Total probability of all cards being numbers = (36 / 52) x (35 / 51) x (34/50)

= 0.692 x 0.686 x 0.68

=0.323 x 100%

=32.3%

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One tenth of a number, something multiply it by 1/10 and then simplify or this is one tenth of that is just divide by 10.

We probably know that the number above the fraction bar is called the numerator and the number below it is called the denominator. To calculate the fraction of a number, we must first convert the whole number to a fraction as well, then multiply by 1/10. Alternatively, finding 1/10 of a number is the same as dividing it by 10.

Let's go through some examples to understand the concept.

a) What is 1/10 of 20?

20 can be put over 1 , since anything divided by

1 is itself. So do that and multiply:

1/10 × 20/ 1 → 20/10 → 2

b) What is 1/10th of 34 ?

=> 34 can be put over 1 and then multiply by 1/10

=> 34×1/10 = 34/10 = 3.4

So as we can see, all we have to do is divide the number by 10 and we've found one tenth of it.

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The sequence types are (a) arithmetic seqience and (b) geometric seqience

a) an annual raise of $3,500

Given that the annual rase ie $3500

This is an arithmetic seqience

And it means that there will be an addition of $3500 in the salary each year

So, we have

Common difference = 3500

b) an annual raise of 5% of his current salary.

Given that the annual rase is 5% of the current salary

This is a geometric seqience

And it means that the raise would be 5% of previous salary

So, we have

Common ratio = 1.05

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MATHEMATICALLY THIS CAN BE WRITTEN AS

Let that number =x

\( \frac{1}{2} (x) \times 7 - 3 \\ = \frac{x}{2} (7) - 3 = \\ = \frac{7x}{2} - 3\)

Hello there! :)

w-4x

9-4(2)

9-8

1

Hope this helps you!

#HaveAnAmazingDay

\(GraceRosalia\)

(a)The levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units. (b)So, it is possible to make a profit of more than $359,400.

(a) To determine the level(s) of production that will yield a profit of $359,400, substitute P=359400 in the equation.6400x−18x^2−400 = 359400Adding 400 to both sides:6400x − 18x² = 359800

Dividing both sides by -2:9x² − 3200x + 179700 = 0

Applying the quadratic formula:

x = (-(-3200) ± √((-3200)² - 4(9)(179700))))/(2(9))

= (3200 ± √(10240000 - 6464400))/18

= (3200 ± √(3785600))/18

= (3200 ± 1946.55)/18x

= 292.36 or 651.64

Thus, the levels of production that will yield a profit of $359,400 are approximately 292.36 and 651.64 units.

(b) To determine if a profit of more than $359,400 can be made, we need to determine the maximum profit by completing the square, and comparing it to $359,400.P=6400x−18x^2−400

Completing the square: P= -18(x - 88.89)² + 710937.2

Maximum profit is $710,937.20, which is more than $359,400.

So, it is possible to make a profit of more than $359,400.

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Step-by-step explanation:

If they are similar, then 10 is to 3      as  x is to 15

10/3 = x/15    multiply both sides by 15

 50 mm = x

Answer:

infinity of solutions.

Step-by-step explanation:

(18x + 12) /6 -7 = 6x - 3x -5

3x + 2 -7 = 3x -5

3x - 3x = -5 + 5

any number

The trip lasted 38 hours 37 minutes.

Through addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

Given, If a bus left the station at 7:17 am and arrived at its destination at 9:54 pm on the next day.

That means,

7:17 AM to 7:17 AM next day

= 24 hours

And 7:17 AM to 7:17 PM on the same day

= 12 hours

And 9:54 - 7:17

= 2 hours 37 minutes.

The total time of the trip:

Adding all the time duration,

= 24 + 12 + 2:37

= 38 hours 37 minutes.

Therefore, the trip's duration is 38 hours 37 minutes.

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Answer:

The range is -7 ≤ y ≤ 8

Step-by-step explanation:

The range is the full measurement of a graph on the y-axis.

I know this can be confusing at times as I had struggles with this in the past

Hopefully, this helps!

To eliminate negative exponents the base is inverted by taking its reciprocal, and the exponent then becomes positive.

Given:

Eliminating negative exponents:

Example:

1)  \(x^{-5}\)

on reciprocal:

= 1/x^5

eliminated negative

2) \(x^{-7}y^{-4}\)

= x^-7*1/y^4

= 1/x^7y^4

Therefore To eliminate negative exponents the base is inverted by taking its reciprocal, and the exponent then becomes positive.

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

From the equations , the company A is selling the phone for less money

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The equations for Company A :

The smart phone price per month = $ 35.50

The smart phone price for 1 year = $ 35.50 x 12

                                                      = $ 426

The price for 1/12 th of a phone = $ 35.50

The price for the entire phone = ( Price for 1/12 th of a phone ) x 12

                                                   = $ 35.50 x 12

                                                   = $ 426

Now , The equations for Company B :

The smart phone price per month = $ 18.00

The smart phone price for 2 year = $ 18.00 x 24

                                                        = $ 432

The price for 1/24 th of a phone = $ 18.00

The price for the entire phone = ( Price for 1/24 th of a phone ) x 24

                                                   = $ 432

Therefore , we can clearly see that price of the smart phone offered by Company A is lesser than price of the phone offered by Company B

And , $ 426 < $ 432

Hence , from the equations , the company A is selling the phone for less money

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Answer:

its yes I think

Step-by-step explanation:

ummm I think its yes it's hard to explain

Answer:

cylinder

Step-by-step explanation:

A cylinder has 2 circular faces and no vertices.

Answer: \(h=\frac{S}{2πrh}\)

Step-by-step explanation:

= Solve S = 2πrh:

= \(h=\frac{S}{2πrh}\)

Answer:

Step-by-step explanation:

The statistically accurate sentence is (d) "There is a 99% probability the next confidence interval done would correctly capture the true average wattage of power lines in Laramie."

This sentence accurately reflects the meaning of a confidence interval, which is a range of values that is likely to contain the true population parameter with a certain level of confidence. In this case, the 99% confidence interval means that if we were to repeat the study multiple times, we would expect 99% of the resulting intervals to contain the true population average wattage.

However, it does not mean that there is a 99% probability that any given interval will contain the true population parameter, nor does it allow us to make inferences about power lines outside of Laramie or about a specific set of power lines in the future.

To further explain, a confidence interval is a range of values calculated from a sample of data that is likely to contain the true population parameter with a certain level of confidence. In this case, the interval (1158.8, 1262.3) is the range of values that we can be 99% confident contains the true average wattage of all power lines in Laramie. However, it does not tell us anything about the wattage levels of power lines in other locations or about a specific set of power lines in the future.

Additionally, it is important to note that the confidence level (99%) refers to the long-term frequency of intervals that contain the true population parameter, not to the probability that any given interval contains the true parameter.

Therefore, the statement (a) is incorrect as it suggests that there is a 99% probability of obtaining a confidence interval that contains the true population parameter. Finally, statement (c) and (e) are also incorrect as they make claims about the proportion of power lines that fall within a certain range, which is not the same as a confidence interval for the population parameter.

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Step-by-step explanation:

I think it's 8.9932×10⁶

Answer:

8,993,200

Step-by-step explanation:

10^3 is 1000

8993.2 * 1000

=

8,993,200