15. Lee hit a golf ball with an initial velocity of 150 feet per second at an angle of 45 degrees above the horizontal. Calculate how long the ball will be in the air to the nearest tenth of a second.

Answers

Answer 1

Answer: [tex]21.6\ s[/tex]

Step-by-step explanation:

Given

The initial velocity of the ball is [tex]u=150\ ft\s[/tex]

Angle of projection [tex]\theta=45^{\circ}[/tex]

The time of flight of the ball is given by

[tex]T=\dfrac{2u\sin \theta}{g}\\\\[/tex]

Insert the values

[tex]T=\dfrac{2\times 150\times \sin 45^{\circ}}{9.8}\\\\T=\dfrac{212.132}{9.8}\\\\T=21.6\ s[/tex]


Related Questions

In an examination, Kavita obtained 72%marks.If the maximum marks are 650, find the marks obtained by Kavita.

Answers

Answer:468

Step-by-step explanation:cause of the max mark is 650 /100=6.5 (1%)

then 6.5*72=468

Write A=C+Kx in words variation

Answers

In word variation, we can write as;

⇒ In the equation, A = C + Kx, if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation is,

⇒ A = C + Kx

Now, We know that;

The direct variation is of the form of y = kx.

Here, The equation is,

⇒ A = C + Kx

Hence, Its words variation is written as;

In the equation, A = C + Kx,

if K is a nonzero constant and C = 0, then you have the function A = Kx, which is called a direct variation.

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Compare the two linear functions listen below

Answers

The slopes of function 1 and function 2 are respectively; -4 and 2. Thus, function 1 has a negative slope

How to find the slope of a linear function?

The slope is simply defined as the change in the y-values divided by corresponding change in x-values.

1) Now, the formula for the slope between two coordinates is;

Slope = (y₂ - y₁)/(x₂ - x₁)

Let us take two coordinates from the table as;

(0, 50) and (1, 46). Thus;

Slope = (46 - 50)/(1 - 0)

Slope = -4

2) The general equation for equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, we are given the equation as;

c = 2d + 10

Comparing to the standard form, we have;

Slope = 2

Thus, function 1 has a negative slope

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A large chain of stores places an order for 7,000 packages of hair clips to be evenly distributed among 40 different stores. If 12 hair clips come in one package, how many hair clips will each store receive?

Answers

7,000x12/40=2100 hair clips
Each store will receive 2100 hair clips.

Question 1
Find the distance: Speed = 99 km/h,
Time = 40 mins

Answers

Distance = speed x time

Distance = 99 x 40

Distance = 3,960

Answer:

40 minute = 40 : 60 hours

= 4/6 [÷10]

= 2/3 [÷2]

distance = speed × time

distance = 99 kilometers/hours × 2/3 hours

distance = 33 × 2

distance = 66km

How many two digit numbers are divisible by 4 or 7?

Answers

Step-by-step explanation:

there are 22 two digit numbers divisible by 4.

there are 13 two digit numbers divisible by 7.

Solve for x. Leave your answer in simplest radical form.
15 in
X

Answers

Answer:

√124

Step-by-step explanation:

a^2+b^2=c^2

x^2+101= 225

x^2= 225-101

x^2= √124

6) A paint store has 240 gallons of paint to pack into boxes. Each box can hold 4 gallons of
paint. Which of the following equations can be used to find the number of boxes the paint
store can pack?
Choose ALL the correct answers.
a) 240 =
b) 4x
÷
+4
= 240
_=240 +4
= 240
= 240 x 4

Answers

Answer: 347

Step-by-step explanation:

Your answer would be 347

Is 5'2 a solution to a system of equations?

Answers

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Now, According to the question:

Let's know:

Solution to a System of Linear Equations:-

A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.

Let's determine whether the given points are a solution to the systems of equations below.

Is the point (5, -2) the solution of the system of linear equations shown in the graph below?

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

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please help:
find BP​

Answers

Answer:

so i will be honest I've done this before and it may be 64 or 120

Step-by-step explanation:

It may be one of these answers I'm doing as much as I can to help

y = -5x + 50 and y= 5x + 10
( Pls find the x for the frist question) And the Y for the secound equation
Pls Answer for 100 brainlist

Answers

The values of x and y in the Simultaneous equation are 4 and 30 respectively

What are Simultaneous equations?

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 and 4x − 4y = 4.

y = -5x + 50 equation 1

y = 5x+ 10 equation 2

subtract equation 1 from 2

5x-(-5x) +10-50 = 0

10x -40 = 0

10x = 40

x = 40/10

x = 4

substitute 4 for x in equation 2

y = 5(4)+10

y = 20+10

y = 30

Therefore the value of x and y are 4 and 30 respectively

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Find the missing length. Round to the nearest tenth.
HELP PLEASE!!

Answers

7.6

Use the Pythagorean theorem

3^2 + 7^2 = c^2

9 + 49 = 58

square root of 58 =

7.615

Find the equation of the line passing through the given point and parallel to the given line.​

Answers

Answer:

[tex]y-2=-\frac{1}{2}(x-3)[/tex]

Step-by-step explanation:

[tex]x+2y=5 \\ \\ 2y=-x+5 \\ \\ y=-\frac{1}{2}x+\frac{5}{2}[/tex]

The slope of the given line is [tex]-\frac{1}{2}[/tex].

This means the slope of any line parallel to the given line is also [tex]-\frac{1}{2}[/tex].

Using point-slope form, the equation is [tex]y-2=-\frac{1}{2}(x-3)[/tex].

The owner of a mall retaurant bought 75 kilogram of rice. Each week, the retaurant ue 4. 5 kilogram of rice. Function r give the remaining amount of rice, in kilogram, a a function of the number of week ince the retaurant owner bought the rice. 1. Complete the table. Clear All

Answers

function f(x) = 75 - 4.5 w.

where w = number of weeks.

this question is related to function and solution is as follows,

The owner of a mall Restaurant bought rice = 75 kg

Each week, the restaurant use rice = 4. 5 kg

so we have to make an equation of function by which we can find out the remaining rice after w number of weeks,

f(x) = 75 - 4.5 w

where ,w = number of weeks

example, find out rice after 6 weeks

number of weeks (w) = 6

put it in the function,

f(x) = 75 - 4.5(6)

f(x) = 75 - 27

f(x) = 48.

so the function is ,f(x) = 75 - 4.5 w.

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Make a tree diagram to show sample space. Then select the total number of outcomes.
choosing black, blue or brown socks with boots, gym shoes or dress shoes
a. 3
C. 9
b. 6.
d. 12
PLEASE HELP

Answers

Answer:

C. 9

Step-by-step explanation:

3 sock options, 3 shoe options for each of those sock options.

3 x 3 = 9

5. A softball has a diameter of 8. 3 in. How many softballs will fit inside of a storage unit 4 that is 15 feet wide, 10 feet long, and 5 feet high?

Answers

4366 softballs will fit inside of a storage.

What is volume ?

A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."

Diameter of softball = 8.3 in

Radius of softball = 4.15 in

                              = 0.345 ft

Volume of sphere = 4/3 π r³

                = 4/3 π (0.345)³

                = 4/3 * 0.1289

                = 0.1718

Volume of cuboid = l * b * h

                              = 15 * 10 * 5

                              = 750

Number of softballs that can fit inside the storage = 750 / 0.1718

                                                                      = 4366

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A car is traveling at a speed of 61 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 20 minutes? Do not round your answers.

Answers

The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.

What is speed?

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

A car is traveling at a speed of 61 kilometers per hour.

Convert the speed into a kilometer per minute. Then we have

Speed = 61 / 60

Speed = 1.01667 kilometers per minute

Then the number of kilometers will the car travel in 20 minutes will be given as,

1.01667 = d / 20

d = 1.01667 x 20

d = 20.33 kilometers

The car's speed in kilometers per minute is 1.01667. And the number of kilometers will the car travel in 20 minutes will be 20.33 kilometers.

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Dodie wants to plant roses in her triangular plot. There will be 11 plant at a corner. Starting from that corner, each row will have 55 more plants than the row before it. She has 160160 rose plants and wants the plot to have as many rows as possible. How many rows will Dodie's plot have

Answers

Solving provided question, we can say that by arithmetic progression number of rows Dodie's plot has, n ≈ 7.3965

what is arithmetic progression?

The difference between succeeding terms in a sequence is always the same, and this is known as an arithmetic progression. An arithmetic progression with a tolerance of 2 is, for instance, the sequence 5, 7, 9, 11, 13, and 15. The term "arithmetic progression" (A.P.) refers to a progression with a fixed tolerance between any two consecutive values. Mathematic progression can be of two different types: arithmetic series with finite length A series with a finite amount of terms is a finite geometric progression. The terms in the series can be used to determine the early, late, tolerance, and number of terms.

d = 6 is the difference between subsequent rows.

The value increased to a = 1 at the top vertex.

Consequently, the garden's roses represent a mathematical progression.

A = 1 is the first phrase.

d = 6 is the common difference.

The sum of the n terms in an arithmetic progression,, is what determines how many rows Bill's plot will contain.

When Sₙ = 150, we get;

150 = 3·n² - 2·n

3·n² - 2·n - 150 = 0

number of rows Dodie's plot has, n = 7.3965

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6x + 2y = 25.92 4x + 3y = 33.93 Solve for x and y

Answers

Answer:

y = -3x + 12.96

y = [tex]\frac{-4}{3}[/tex] x + 11.31

Step-by-step explanation:

6x + 2y = 25.92  Subtract 6x from both sides

2y = -6x + 25.92  Divide all the way through by 2

y = -3x + 12.96

4x + 3y = 33.93  Subtract 4x from both sides

3y = -4x + 33.93  Divide all the way through by 3

y = [tex]\frac{-4}{3}[/tex] x + 11.31

A recipe for brownies calls for 1/8 cup of sugar and the recipe makes 12 brownies what fraction of a cup is in each brownie? THANKS!

Answers

Answer: [tex]\frac{1}{96}[/tex]

Step-by-step explanation:

([tex]\frac{1}{8}[/tex])/12

Divide the fraction [tex]\frac{1}{8}[/tex] by 12. This is because we need to split the sugar between 12 brownies, and to split something means to divide it. Use the switch, flip and multiply method.

I inserted an image on how to use this method.

Anyway, to use this method, we need 2 fractions, so instead of 12, we have to use [tex]\frac{12}{1}[/tex].

[tex]\frac{1}{8}/\frac{12}{1}[/tex]

= [tex]\frac{1}{8}[/tex] × [tex]\frac{1}{12}[/tex]      Multiply the denominators and numerators

= [tex]\frac{1}{96}[/tex]

Which is a recursive formula for the sequence 99. 4, 0, –99. 4, –198. 8, where f(1) = 99. 4? f(n 1) = f(n) 99. 4, n ≥ 1 f(n 1) = f(n) – 99. 4, n ≥ 1 f(n 1) = 99. 4f(n), n ≥ 1 f(n 1) = –99. 4f(n), n ≥ 1

Answers

A recursive formula for the sequence is:  f(n+1) = f(n)-99.4, n ≥ 1

Consider the given sequence.

99.4, 0, -99.4, -198.8, . . .

We can observe that each next term of the sequence is decreased by -99.4

i.e., f(0) = 99.4

f(1) = f(0) - 99.4

f(1) = 99.4 - 99.4

f(1) = 0

f(2) = f(1) - 99.4

f(2) = 0 - 99.4

f(2) = -99.4

From these calculations we can say that the n-th term would be,

f(n) = f(n - 1) - 99.4

Therefore, recursive formula:  f(n+1) = f(n) - 99.4

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Na curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches. Which measure of the cylinder will be 8 inches? the radius of the base the diameter of the base the area of the base the circumference of the base

Answers

Answer: Tina curled an 8 inch by 10 inch rectangular piece of paper along one of its sides to form an open cylinder with a height of 10 inches

Brainliest or a thank you please ! :))

A group of friends wants to go to the amusement park. They have no more than $90 to spend on parking and admission. Parking is $16.50, and tickets cost $10.50 per person, including tax. Use the drop-down menu below to write an inequality representing pp, the number of people who can go to the amusement park.

Answers

The inequality representing p, the number of people who can go to the amusement park, is given as follows:

10.5p + 16.5 ≤ 90.

How to build the inequality?

The inequality for this problem is build considering the linear cost function, defined in slope-intercept format as follows:

C(p) = mp + b.

In which the parameters are given as follows:

m is the slope, representing the cost of the ticket per person.b is the intercept, representing the cost of parking.

Parking is $16.50, and tickets cost $10.50 per person, hence the numeric values of the slope and the intercept are given as follows:

m = 10.50, b = 16.50.

Thus the cost function is given as follows:

C(p) = 10.5p + 16.5.

They have no more than $90 to spend on parking and admission, hence the inequality is defined as follows:

C(p) ≤ 90.

10.5p + 16.5 ≤ 90.

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Given that $x$ is a positive integer less than 100, how many solutions does the congruence $x 13 \equiv 55 \pmod{34}$ have

Answers

There are three solutions to the congruence x+13=55 (mod 34).

What is congruence?

Two figures are considered to be 'congruent' if they can be put exactly over each other. When you set one slice of bread on top of the other, you'll see that they're both the same shape and size. The phrase "congruent" refers to having exactly the same form and dimension. When two things or forms superimpose on each other, they are said to be congruent. Their shapes and sizes are identical. Line segments with the same length and angles of the same measure are congruent in the case of geometric forms.

Here,

something equaling 55 (mod 34) is unusual to say the least as 55 mod 34 = 21

do you mean x+13=21 (mod 34) ?

clearly x = 8 + 34k which gives 8, 42, 76 begin less than 100

The congruence x+13=55 (mod 34) has three solutions.

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Find each measure :)

Answers

Answer:

K = 180 - 45 = 135

J = 180  - 92 =88

Step-by-step explanation:

K = 180 - 45 = 135

J = 180  - 92 =88

convert 20% profit into profit amount

Answers

Answer: To convert 20% profit into a profit amount, you would multiply 20% by the revenue or cost of the item or service.

Let's say,

You have revenue of $1000

So,

20/100 * 1000 = $200

So the 20% profit on the revenue of $1000 is $200.

It's important to note that profit is the amount of money you make after you subtract your costs from your revenue. It's the amount you have left after all the expenses, taxes and other deductions are made.

Step-by-step explanation:

HELP

Find the value of x.
160°
(10x + 50)
Α. 21
Β. 13
Ο Ο
Ο C. 4
Ο D. 11

Answers

Answer:

Hello! answer: 11

Step-by-step explanation:

these are vertical angles meaning they Will equal the same measure so... 10 × 11 = 110 110 + 50 = 160 therefore x = 11 HOPE THAT HELPS!

The answer is 11 hope this helps

33. What is the proper way to install a roll of toilet paper: the "over” position, in which the portion you grab hangs over the top of the roll, or the "under" position, in which the portion you grab hangs under behind the roll? A curious student investigated this question by asking a random sample of 10 custodians and a random sample of 50 adults that are not custodians. The table summarizes the results: Custodian Non-Custodian Adult Over 32 Under 2 If one of these individuals is randomly selected, what is the probability that they are a custodian, given that they said "over"?
(A)8/40
(B) 8/50
(C) 8/60
(D) 16:40
(E) 16/100​

Answers

Answer:

Step-by-step explanation:

8/40

The correct answer is (A). Of the 40 individuals that said that “over” is the correct way to install a roll of toilet paper, 8 were custodians, so the probability is 8/40.

Jay and kevin are shoveling the snow off a driveway. working together, they can clear the driveway of snow in 14 minutes. working alone, it would take kevin 21 minutes longer to clear the driveway of snow than it would take jay working alone. when j is the number of minutes it would take jay to clear the driveway of snow when working alone, the situation is modeled by this rational equation: how long would it take jay to clear the driveway of snow working alone?
a. 7 minutes
b. 21 minutes
c. 35 minutes
d. 42 minutes

Answers

Therefore, As a result, the answer to the given equation problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.

Define equation .

A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.

Here,

The formula is: 1/j +1/j+ 21 = 11/ 4.

LCM = j+21+j / j(j+21)=1/14

Thus, 2j+21 / j(j+21) = 1/14 is obtained.

14(2j+21) times itself yields j(j+21).

28j+294 expanded to j²+21j

Gather comparable terms

j²+21j-28j-294=0

j²- 7j-294=0

With the use of a graphing calculator, we have:

j = 21 or j= -14

Due to the context,

j's value cannot be negative.

As a result, the answer to the given equation's problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.

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a candy store makes a 9-pound of gummy candy jelly beans and hard candy the cost of gummy candy is $2.00 per pound jelly beans cost $3.00 per pound and hard candy costs $3.00 per pound the mixture calls for two times as many gummy candy pieces as jelly beans the total cost of the mixture is $23.00 how much of each ingredient did the store use? please show explanation

Answers

Answer: 4.5 jelly beans

Step-by-step explanation: 3.00$ x 5 = 15.00$ x (2$) = 23.00$

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As the earth rotates on its axis, the constellations and stars in them appear to hey i need help with these thanks show work help plz fast!! please true or false: the state capital is always the city with the largest population in the state Which of the following is NOT one of the three basic ways inventories are reported?A. average aggregate inventory valueB. inventory turnoverC. weeks of supplyD. material cost of goods sold Can someone check my answer?Offering 50 points. Twelve out of Sixty students are trying out for the spring musical. What is the percentage of students trying out for the musical? The same resultant force acts on objects 1 and 2. Object 1 accelerates at 2m/s and Object 2 accelerates at 5m/s. Which object has the greater mass? Determine the value of x.A) 23 B) 63 C) 12 D) 123 What did the British Raj bring to India? Pls answer! this problem Which matrix represents the system of equations shown below?2x - 9y = 12-5x - 7y = 15O A.[2 -9 125 -7 15O B.1-2 -9 1275 -7 15O C.2 -9 127-5 -7 15O D. 13:531-2 -9 -121-5 -7 -15 help me thank you ;) Driving from Highland Park in Dallas to the town of Prosper, TX ROUTE TRAVEL TIME COST IN TOLLS Dallas North Tollway 30 minutes $4.89 Route 75 and Route 380 45 minutes $0.00 In a cost/benefit analysis, what would be the benefit of taking the Dallas North Tollway instead of Routes 75 and 380? O That route would cost more in tolls. O That route would require more travel time. O That route would cost less in tolls. O That route would require less travel time. Which of the following is information found in the SQ Tool?Approved services by Service LineEngagement and SQ Team informationAction itemsEngagement terms and conditions Mr. Thompson earns $ 11.52 per hour. Last week he worked 37 hours how much F.I.C.A tax did he have to pay at 7.65%? What is the best description of the roaring 1920s? (2) This article combines a scientific tone with a more informal one. Give some examples of diction from the article that create both tones Find the measure of the given angle. Round to the nearest degree.(O6?13 Ian pushed himself to be the ultimate athlete, experiencing the greatest success possible while pushing himself to operate at peak efficiency. What theory explains this motivation