Oliver hits a baseball at 3 feet above the ground with an initial speed of 135ft/sec at an angle of 20 degrees with the horizontal.

The outfield wall is 380 feet away and is 15 feet high.

At approximately what height will the ball hit the wall?

A) 3 ft
B) the ball lands in front of the wall
C) the ballet goes over the wall
D) 8 ft

Answers

Answer 1

Answer:

Option B) the ball lands in front of the wall

Explanation:

1. Find the vertical and horizontal components of the initial velocity

a) Horizontal component:

      [tex]v_{0,x}=v_0\times cos(20\º)=135ft/s\times cos(20\º)=126.86ft/s[/tex]

b) Vertical component:

      [tex]v_{0,y}=v_0\times sin(20\º)=135ft/s\times sin(20\º)=46.17ft/s[/tex]

2. Find the time when the ball runs 380 feet horizontally:

          [tex]x=v_{0,x}\times t\\\\380ft=126.86ft/s\times t[/tex]

          [tex]t= (380ft)/(126.86ft/s)=2.995s\approx 3.0s[/tex]

3. Find the height of the ball when the time is 3.0s

       [tex]y=y_0+v_{0,y}\times t-gt^2/2[/tex]

y₀ = 3 ftg ≈ 32.174 ft/s²

     [tex]y=3ft+46.17ft/s\times 3.0s-32.174ft/s^2\times (3.0s)^2/2[/tex]

     [tex]y=-3.3ft[/tex]

This result means that the ball does not reach the wall because it has fallen to the ground (when y = 0) before 3.0s.


Related Questions

Gwendelyn, who is a witch, went on an international witch tour. The following table shows the number of spells that she cast in each country.
Country Number of spells
Brazil 111
Argentina 555
Russia 555
Australia 111
Find the mean number of spells cast.
spells

Answers

Answer:

the answer is 3

Step-by-step explanation:

Answer: If this is for khan academy the mean is three.  :D

Step-by-step explanation:

The probability that teddy wins a certain game of chance is 1/4.If teddy plays the game 120 times how many times can he expect to win the game

Answers

Answer:

30

Step-by-step explanation:

1/4 of 120 is 30

therefore he can expect to win the game 30 times

Which number has the least absolute value? A) 30 B) 10 C) −20 D) −40

Answers

Answer:-40

Step-by-step explanation:

Because that means below 0

Answer:

10

Step-by-step explanation:

the value of the discriminant x2 + 6x + 9 = 0

Answers

Answer:

X=-3

Not sure if you meant finding the ‘x’ but it would be this

Step-by-step explanation:

Six students eat 6 apples in 33 seconds. How long will it take nine students to eat 19 apples, if they don't cut apples into parts?

Answers

Answer:

99

Step-by-step explanation:

It takes each student 33 seconds to eat an apple. This is done in parallel.

The time it would take if each person ate the exact same amount of apples is 69.6 repeating (calculated by (19 * 33) / 9). However, the apples cannot be cut into parts, so we need to round up to the next multiple of 33. Therefore 99 is the answer.

Question 2(Multiple Choice Worth 3 points) How can the U.S. government control financial institutions? Voting on a new budget Loaning money to state governments Borrowing money from a foreign bank Passing laws for credit card companies to follow I will Give brainlyist

Answers

Answer:

Passing laws for credit card companies to follow

Step-by-step explanation:

Government may pass new laws to set up new regulations for the financial institutions

Answer:

They creat laws for credit card companies.

Step-by-step explanation:

If a car used 250.000 W of power to complete a race in 12 s. how much work did the car do?

Answers

Answer:

300000

Step-by-step explanation:

Answer: 3,000,000

Step-by-step explanation:

If the interest rates are the same on a CD, which compounding pays more interest?
annually
semi-annually
monthly
quarterly

Answers

Monthly, because your value goes up every month.
Final answer:

The CD that compounds more frequently will pay more interest; thus, monthly compounding yields more interest than quarterly, which in turn is more than semi-annually, with annual compounding paying the least.

Explanation:

When comparing the different compounding frequencies for a Certificate of Deposit (CD) with the same annual interest rate, the compounding option that pays more interest is the one that compounds more frequently. Compounding can occur on an annual, semi-annual, quarterly, or monthly basis. The more frequently the interest is compounded, the greater the amount of interest will be earned because each compounding period, the interest is calculated on the initially invested amount plus the previously earned interest.

For example, if interest is compounded monthly, it will be compounded 12 times a year, and each month's interest will begin to earn interest in subsequent months. Similarly, if interest is compounded quarterly, it will be compounded 4 times a year, and semi-annually compounding will occur twice a year. The least frequent is annually compounding, with only one compound per year.

Therefore, the CD that compounds monthly will pay the most interest, followed by the one that compounds quarterly, then semi-annually, and the least will be the CD that compounds annually, assuming the nominal interest rate is the same for all.

Number of solutions of quadratic equations

Answers

The number is always 2, the type depends on the discriminant.

How to find the number of solutions of a quadratic equation?

For a general quadratic equation:

ax² + bx + c = 0

We can define the discriminant as:

D = b² - 4ac

And we can have 3 cases:

if D > 0, the quadratic equation has 2 real solutions.

if D = 0, the quadratic has two (equal) real solutions.

if D < 0, the quadratic has 2 complex solutions.

Learn more about quadratic equations:

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Convert:
61⁄2 feet = how many inches

Answers

Answer: 78 inches

Step-by-step explanation: looked it up on google

Answer:

78 inches

explanation:

Because one foot equals 12 inches

There are 14 apples in a basket. 8 of these are green. The rest of them are red. (a) what is the ratio of green apples to red apples? (b) what is the ratio of red apples to all apples in the basket?

Answers

6:8 - 6 red apples to 8 green apples.  1:1.33 - 1 red apple for every 1.33 green apples.  43% of the apples are red and 57% of the apples are green.  

Final answer:

The ratio of green apples to red apples is 4:3, and the ratio of red apples to all apples in the basket is 3:7 after simplification.

Explanation:

To solve the student's question:

First, we find the ratio of green apples to red apples. There are 14 apples in total, 8 of which are green, so 14 - 8 = 6 red apples. The ratio of green to red apples is therefore 8:6, which can be simplified by dividing both sides by 2, resulting in a simplified ratio of 4:3.

Next, we calculate the ratio of red apples to all apples in the basket. Since there are 6 red apples and 14 apples in total, the ratio is 6:14, which simplifies to 3:7 when both sides are divided by 2.

Therefore, the answer for part (a) is a ratio of 4:3, and for part (b) is a ratio of 3:7.

A safe has a 4 digit lock code that does not include zero as a digit and no digit is repeated what is the probability that the lock code consist of all even digits
to find the total number of outcomes for this event find a permutation of ____ things taken 4 at a time
The total number of outcomes is ___
The total number of favorable outcomes is a permutation of ____ things taken 4 at a time
The probability that the lock code consists of all even digits is _____ out of 3,024

Answers

Answer:

3

4

5

Step-by-step explanation:

Answer:

9, 3024, 4 and 24

Step-by-step explanation:

much love

Suppose y varies inversely with x. Write an equation if y=7 when x=-4

Answers

Answer:

y = -28 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = 7 when x = -4 and y varies inversely with x.

So we substitute the values y = 7 and x = -4 in the equation y = k ÷ x

K = constant, we have to work this out

7 = k ÷ -4

7 × - 4 = k

k = - 4 × 7

k = -28

k = -28 So then we put this back into the original y = k ÷ x to find our final equation which is y = -28 ÷ x

am i correct? will mark brainliest

Answers

Answer:

no, its 11 for the first one and 45 for the second

Step-by-step explanation:

Answer:

No 16 is 11 and 17 is 45%

Could you heart me and mark me ect.

What is the center of the circle given by the
equation (x + 17)2 + (y − 4)2 = 23?
A. (−4, 17)
B. (−17, 4)
C. (17, −4)
D. (4, −17)

Answers

Answer:

B. (−17, 4)

Step-by-step explanation:

We can write the equation of a circle in the form

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x + 17)^2 + (y − 4)^2 = 23

(x - -17)^2 + (y − 4)^2 = ( sqrt (23))^2

The center is (-17,4) and the radius is (sqrt(23)

Veronica wants to multiply

23×15\dfrac23\times15

3


2




×15

start fraction, 2, divided by, 3, end fraction, times, 15

. So, she puts

1515

15

15

triangles into

33

3

3

equal-sized groups.



What is

23\dfrac23

3


2




start fraction, 2, divided by, 3, end fraction

of

15? 15?~~

15? will give branlest!

Answers

Answer:2737t

Step-by-step explanation:

Answer:

2/3 0f 15 equals 10

Step-by-step explanation:

We see a set of 151515 triangles. The set is split into 333 equal sections, or thirds.Hint #22 / 3To find 2332​start fraction, 2, divided by, 3, end fraction of 151515, we can shade 222 thirds. How many triangles are shaded?Three rows of fifteen identical triangles. Lines divide the triangles into 3 groups with 5 triangles each. All 5 triangles in the first group and all 5 triangles in the second group are shaded.1010start color #7854ab, 10, end color #7854ab triangles are shaded.


A student has a container with a volume of 2.5 liters. She estimates the volume to be 2.8 liters. By
what percent is the student's estimate off?

Answers

Answer:

12 percent

Step-by-step explanation:

2.5 ÷ 100 = 0.025

2.8 - 2.5 = 0.3

0.3 ÷ 0.025 = 12

The percent change is 12%.

What is Percent Change?

When you want to analyse how a value has evolved over time, percentage increase is helpful. Although percentage increase and absolute increase are fairly comparable, the former is more helpful when contrasting different data sets.

Given:

A student has a container with a volume of 2.5 liters.

She estimates the volume to be 2.8 liters.

Change in Amount

= 2.8-2.5

= 0.3

So, percent increase

= 0.3 / 2.5 x 100

= 0.12 x 100

= 12%

Hence, the percent change is 12%.

Learn more about Percent increase here:

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? ÷ 4 = 9

please help me ​

Answers

Answer:

Your answer would be 36

Step-by-step explanation:

You can figure this out by multiplying B by C to get A or

4 x 9 = 36

Then you can check by going

36 ÷ 4 = 9

9 = 9

This is the right answer

Answer:

36

Step-by-step explanation:

You are solving for ?. Let ? become the variable (x).

x ÷ 4 = 9

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. To do so, multiply 4 to both sides:

x ÷ 4 (* 4) = 9 (* 4)

x = 9 * 4

x = 36

36 is your answer.

~


Consider the reflection of parallelogram PQRS across
the line of reflection,
If RR' = 14, then RZ = 7
If SX = 5, theny = 5.

Answers

Answer:

7

XS

Step-by-step explanation:

100% on edge

The reflection of parallelogram PQRS across the line of reflection is 7 XS.

Parallelogram:A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposed sides and opposite angles because both conditions are a direct result of this postulate.In contrast, a quadrilateral with only one set of parallel sides is referred to as a trapezoid or trapezium in British or American English.

The parallelepiped is a parallelogram's three-dimensional equivalent.

Therefore, the correct answer to the question is 7 XS.

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WILL MARK BRAINLIEST Point A' represents the reflection of point A across the y-axis. Which coordinate pair represents the location of point A before the
transformation?
A.(3.-6)
B.(-3,-6)
C.(3,6)
D.(6,3)

Answers

The answer is, C, (3,6).

Answer:

its -3 6 i got it worng

Step-by-step explanation:

Add the polynomials (4x+11)+(12x+2)

Answers

Answer:

16x + 13

Step-by-step explanation:

(4x + 11) + (12x + 2)

combine like terms (add the x's and add the numbers)

4x + 12x = 16x

11 + 2 = 13

(4x + 11) + (12x + 2) =

16x + 13

A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In 10 years, the sum of all their ages will be 100 years. How old are the two siblings at present?

Answers

Answer:

son is 7 daughter is 21

Step-by-step explanation:

A color printer prints 35 pages in 11 minutes. How many pages does it print per minute?

Answers

Answer:

The answer my friend  is 3.1818181818181817

Step-by-step explanation:

My explanation is when you divide 35 and 11 you get 3.18 if you round it to the tenths it would be 0.01. HOPES THIS HELP HAVE A WONDERFUL REST OF YOUR DAY  MARK ME BRAINLIEST PLZ.

What is the greatest common factor of 7 21 and 70

Answers

Answer:

1470

Step-by-step explanation:

I am pretty sure that this is the answer.

Tell me if i am wrong.

Can I get brainliest

A region with a 15-mile diameter has a population density of about 5000 people
per square mile. Find the number of people who live in the region.

Answers

Answer:

Approximately 883,572 people

Step-by-step explanation:

I'm assuming the region is a circle.

The formula for finding the area of a circle is A=πr².

Since we know that the diameter of the region is 15 miles, and a diameter is 2 times the radius, the radius must be 7.5 miles. We also know that π is equal to 3.14159265359.

A=πr²

A= 3.14159265359×7.5²

A= 3.14159265359×56.25

A=  176.714586764

The region has an area of 176.714586764 square miles.

176.714586764×5000=883572.933822

We can round this number to the nearest whole, but since we cannot have part of a person, the answer is approximately 883,572 people.

Final answer:

To find the number of people who live in a region with a 15-mile diameter and a population density of 5000 people per square mile, we can calculate the area of the region and then multiply it by the population density.

Explanation:

To find the number of people who live in the region, we need to calculate the area of the region and then multiply it by the population density. The region has a 15-mile diameter, so the radius is half of that, which is 7.5 miles. The formula for the area of a circle is A = πr^2, where π is approximately 3.14. Plugging in the values, the area of the region is A = 3.14 × (7.5)^2 = 176.625 square miles.

Next, we multiply the area by the population density of 5000 people per square mile: 176.625 × 5000 = 883,125 people.

Therefore, there are approximately 883,125 people who live in the region.

What is the height, h, of one of the triangles?
4 ft
8 ft
7 ft
14 ft

Answers

Answer:

4 ft

Step-by-step explanation:

the width of two triangles is given as 8 just divide by 2 since answer is asking for only one triangle

Answer:

4

Step-by-step explanation:

Divide 8 by 2.

The probability of Sandy flipping a coin twice and getting heads both times is 0.250.250, point, 25. The probability of John's spinner stopping on the color red is \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction.
Which of these events is more likely?

Answers

Answer:

they are the same.

Step-by-step explanation:

Both have a 1/4 chance

Answer:

THE  are all the same  they all hae 1/4 chance

Step-by-step explanation:

I am pretty sure this will help =)

mark me brainliest =)

Have agreat day :)

What is the rate of change between the interval of x = pi over 4 and x = pi over two ? (1 point)

Group of answer choices

A negative 8 over pi

B negative pi over 8

C negative 32 over pi

D negative pi over 32

Answers

Answer:

The right answer is C

Step-by-step explanation:

Clarence made a scale drawing of a classroom. The scale in the drawing is 2 inches represents
9 feet. The actual length of the classroom is 36 feet. What is the length of the classroom on the
scale drawing?
A4 inches
B 8 inches
OC 27 inches
OD 162 inches

Answers

Answer:

The answer is B

Step-by-step explanation: The reason for this is you know that 2 in = 9ft so you multiply 9 to get 36/ the height of the classroom. The times you multiply is by equal to it by you multiply by 2 because 2= 9ft not 1=9ft so you take 4 and multiply by 2 and you get 8.

Answer:

B) 8 inches

Step-by-step explanation:

Since the scale of the drawing is 2:9, we will then make this into two fractions that equal each other to make this easier. To do this we will make the ratio 2:9 into a fraction being 2/9. Then we will make the missing value which is the length of the calssroom on the scale drawing over the actual length of the classroom which is 36. We will then make the fractions equal each other. 2/9 = x/36. We can either cross multiply ( 2 x 36 and 9 * x) or we can make the denominators the same. I am going to make the denominators the same. The equation will then look like this: 8/36=x/36. Now we know the value of x is 8. This makes the answer B) 8 inches.

Which graph represents the function f (x) = StartFraction 2 x Over x squared minus 1 EndFraction?

Answers

Answer:

Step-by-step explanation:

f(x) = 2 / (x^2 - 1) is better written as

                 2

f(x) = ------------------

         (x - 1)(x + 1)

This is undefined at x = -1 and x = 1; there are vertical asymptotes at x = -1 and x = 1.

The y-intercept is found by letting x = 0; we get

                 2

f(x) = ------------------ = -2    =>    (0, -2)

         (0 - 1)(0 + 1)

Please, next time, share the answer choices.  Thank you.

By analyzing the asymptotes we can find the graph of the rational function. Also a graph is provided below.

Which graph represents the function?

We have the rational function:

f(x) = (2x)/(x^2 - 1).

First, you can see that we have two zeros on the denominator. One happens when x = 1 and the other when x = -1.

This means that the graph of this function will have two vertical asymptotes at these values. (four actually as we have one going to each end in each point).

With that description we can find the graph of the function, I will also post it so you can recognize it.

If you want to learn more about rational functions, you can read:

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