An arrow is launched upward with a velocity of 320 feet per second from the top of a 100-foot structure. What is the maximum height attained by the arrow?

Answers

Answer 1

Answer:

139.93

Step-by-step explanation:

i used a online calculator

https://www.omnicalculator.com/physics/maximum-height-projectile-motion

Answer 2

The maximum height attained by the arrow will be 1,700 feet.

What is mean by Quadratic equation?

A polynomial which has a power two then its called a Quadratic equation.

Given that;

An arrow is launched upward with a velocity of 320 feet per second from the top of a 100-foot structure.

Let the equation for the height of the arrow at time t is;

h (t) = - 16t² + 320t + 100.

Here, The arrow is follow the path of a parabola that curves downwards.

The value of t for the vertex = - b / 2a

                                            = - 320/2×-16

                                            = 10

Substitute t = 10 in above equation, we get;

h (t) = - 16t² + 320t + 100.

h (t) = - 16 × 10² + 320 × 10 + 100

h (t) = -16 × 100 + 3200 + 100

h (t) = - 1600 + 3200 + 100

h (t) = 1,700

Therefore, The maximum height attained by the arrow will be 1,700 feet.

Learn more about the quadratic equation visit:

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Related Questions

What is the area of the entire polygon below?

Answers

Answer: The area of the shaded region is 9 units. Hope this helps!

Please help! In a tidal river, the time between high and low tide is 5.8 hours. At high tide, the depth of water is 17.2 feet, while at low tide the depth is 4.6 feet. Assume the water depth as a function of time can be expressed by a trigonometric function (sine or cosine).

Write an equation for the depth () of the tide (in feet) hours after 12:00 noon.

Answers

Answer:

Step-by-step explanation:

mean tide is (17.2 + 4.6)/ 2 = 10.9 ft

Amplitude of tide is (17.2 - 4.6)/ 2 = 6.3 ft

The full tide cycle is 2(5.8) = 11.6 hrs

As we are not told the tide condition at 12:00 noon,

I will ASSUME that the tide is high and use the cosine function

D = 10.9 + 6.3cos(2π(t/11.6)) ft

where t is in hours after noon high tide.

make sure your calculator is set to radians.

If you want to use degrees, the equation becomes

D = 10.9 + 6.3cos(360(t/11.6)) ft

Tim has obtained a 3/27 balloon mortgage. After the initial period, he decided to refinance the balloon payment with a new 30-year mortgage. How many years will he be paying for his mortgage in total?

A.) 27 years
B.) 33 years
C.) 30 years
D.) 3 years​

Answers

B 33 years and bsbsbsbsbsnsbsbdbsndbdndnd

brainliest and 100 points

Answers

Answer:

I think your answer is 5 - 9 = -1(9 - 5)

Step-by-step explanation:

Point slope form is the image attatched.

Plugging into the equation and solving:

y2 - y1 = m(x2 - x1)

        \/

5 - 9 = m(9 - 5)

        \/

  -4 = m(4)

        \/

  -4 = 4m

        \/

    -1 = m

5 - 9 = -1(9 - 5)

I hope this helps, have a nice day :D

I think it is -1 but it might not be right

If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?

A.
There is exactly one solution.
B.
There is no solution.
C.
There are infinitely many solutions.
D.
The lines in a system cannot graph as the same line.

Answers

Answer:

C. infinitely many solutions

Step-by-step explanation:

every point of the line (or lines) is a solution.

so, infinitely many.

PLESE HELP I WILL GIVE BRAINLIEST!
Jacob sells homemade skateboard decks profit $27 per deckHe is considering switching a new type of material as expressed by the function y = 32x, where x is the number sold and y is the amount of How many more dollats will Jacob on skateboard deck if he switches to the new material? Explain how you found your answer

Answers

Answer:

I believe it is 32

Step-by-step explanation:

I think this because in your equation it says (y=32x) which 32 will mean how much he is charging for each skateboard, x will be how many he sells, and y would be how much he makes from selling them. So if he sold 2 skateboards you would do.. 32 x 2 which equals 64 soo that would be (64=32x2) so it is 32

What is the slope of this line?

y=−1/3x+1/4

Answers

Answer:

The slope is -1/3

Step-by-step explanation:

y = -1/3x + 1/4

This equation is written in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -1/3 and the y intercept is 1/4

Hello there! :)

y=-1/3x+1/4

-1/3 is the slope

Remember y=mx+b. m is the slope and b is the y-intercept.

Here, m (the slope) is -1/3, and the y-intercept is 1/4

Therefore, the slope is: [tex]-\frac{1}{3}[/tex]

Hope this helps you!

~Just a felicitous girlie

#HaveASplendidDay

[tex]SilentNature :)[/tex]

Answer for brainiest find x

Answers

Answer:

x=36

Step-by-step explanation:

3x and 2x are both supplementary angles so adding them would get 180 since they are on opposite sides.

3x + 2x =180

5x = 180

(Divide by 5)

x=36

36
Hope this helped …

Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2

Answers

Answer:

b

Step-by-step explanation:

1?25*213+4=b shsshehwhssj

A chemist want to mix a 40% acid solution with a 70% acid solution to make 6 liters of a 50% acid solution. How much of each type of solution should the chemist use? Show your Work. I NEED HELP ASAP, PLZ HELP ​

Answers

Answer:

2 liters of 70%

4 liters of 40%

Step-by-step explanation:

Let

x = liters of 70%

Then the remaining amount is

6 - x = liters of 40%

---------------------------------

Mixing

(70% of x) + (40% of 6 -x) (to get)  50% of 6)

    70(x)    +      40(6-x)         =           50(6)

Simplify

70x + (240 - 40x) = 300

Combine like terms

30x = 60

Divde both sides by 30

x = 2 liters of 70%

6 - x = 4 liters of 40%

Unsecured loans intended for short time periods at very high interest rates are called payday loans, because they are supposed to be repaid at the next payday. Wonga, the largest payday loan maker in Britain, typically charges 1% interest per day. Find Wonga's annual rate of interest.

Answers

9514 1404 393

Answer:

   3678%

Step-by-step explanation:

If we assume the interest is compounded, then the effective annual rate is ...

  ((1 +1%)^365 -1) × 100% = (37.7834 -1)×100% ≈ 3678%

Rewrite the expression using a single, positive exponent: 14^{-3}\times 14^{12}

Answers

If you wprk that out ypu shoukd get 2

Pls help me asap I give brainliest

Answers

Number six
K=6
Number 5
K=3 I think because 3 divided by one equals three

Will give Brainly answer

Answers

Step-by-step explanation:

C IS THE ANSWER!

MARK ME BRAINLIEST!!!

Use the distance formula d= rt to find the distance of a car driven at 50 miles per hour for
5 hours.

Answers

Answer:

As per problem, we have

Average speed of car =50 miles per hour.

Time =

Given formula to use is

So, to find the distance traveled can be find by substituting the values in the above equation we get

Hence distance traveled =225 miles.

Step-by-step explanation:

f(3x)=2(3x)-4
simplify

Answers

Answer:

2

Step-by-step explanation:

2x3-4 we substitute f to be 3

6-4

2

You would like to determine whether eating before bed influences sleep patterns. List each step you would take to conduct a statistical study on this topic and explain what you would do to complete each step. Then, answer the questions below. What is your hypothesis on this issue? What type of data will you be looking for? What methods would you use to gather information? How would the results of the data influence decisions you might make about eating and sleeping?

Answers

Answer:

for nothing else and no one will be found to

This graph shows how fast the Shanghai Maglev train travels on its route in
China.
What is the meaning of the point with an x-coordinate of 2?

Answers

D
X coordinate of 2, or 2 seconds, means 140 meters of distance has been made when we look at the y axis.

Answer:

D

Step-by-step explanation:

the x (horizontal) axis is for time passed in seconds.

the y (vertical) axis is for distance traveled in meters.

so, x = 2 means 2 seconds.

now, move straight up at this point until you meet the line. from there go straight to the left until you hit the y/distance axis. what number is there ? 140. meaning 140 meters.

so, the train travels 140 meters in 2 seconds.

An angle measures 4.6° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

The two angles are,87.7° and 92.3°

Step-by-step explanation:

Question,

To find an angle and it's supplementary angle.

Let,

The supplementary angle be = x

So, the angle given is = x - 4.6

As we know,

When two angles added gives 180°, then those angles are called supplementary angles.

Therefore solution,

By the problem,

=> x + (x - 4.6) = 180

[On adding like terms x]

=> 2x - 4.6 = 180

[Putting - 4.6 to other side of equal to which converts to 4.6]

=> 2x = 180 + 4.6 = 184.6

[On dividing 2 on both sides]

[tex] = > \frac{2x}{2} = \frac{184.6}{2} [/tex]

[On Simplification]

=> x = 92.3

Result:

So, the supplementary angle is = 92.3° (Ans)(ii)

And, it's required angle is = 180° - 92.3° = 87.7° (Ans)(i)

Supplementary Angles :

If the sum of the measures of two angles is 180°, then the angles are called supplementary angles and each angle is called a supplement of the other.

Given :

An angle measures 4.6° less than the measure of its supplementary angle.

To Find :

The measure of each angle.

Solution :

Let's assume the one of the supplementary angle as "x" and the other angle as (x + 4.6)° .

Now,

According to the Question :

[tex]\begin{gathered}\\ \sf x + (x - 4.6) {}^{ \circ} = 180{}^{ \circ} \\ \\ \dashrightarrow \: \sf x + x - 4.6{}^{ \circ} = 180{}^{ \circ} \\ \\ \sf \: \dashrightarrow 2x - 4.6{}^{ \circ} = 180{}^{ \circ} \: \: \: \: \\ \\ \dashrightarrow \sf \: 2x = 180{}^{ \circ} + 4.6{}^{ \circ} \\ \\ \dashrightarrow \sf \: 2x = 184.6{}^{ \circ} \: \: \: \: \: \: \: \: \\ \\ \dashrightarrow \: \sf \: x = \frac{184.6 {}^{ \circ} }{2} \: \: \: \: \: \\ \\ \dashrightarrow \: \sf \: x = 92.3 {}^{ \circ} \: \: \: \: \: \\ \\\end{gathered}[/tex]

Therefore,

One angle = 92.3°Other angle = 180° – 92.3° = 87.7°

Hence,

The measure of the two angles are 92.3° and 87.7° .

In the xy-coordinate plane shown, line L passes through point C and has a slope of -2. A dilation of line {with center A and a scale factor of 3 will
produce a new line through point C'the image of point C,
with coordinates
and with a slope of

Answers

The solution is, New line slope will be -2 and, coordinates  (-4. 2).

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2)

   = (-4. 2)

Hence, The solution is, New line slope will be -2 and, coordinates  (-4. 2).

To learn more on slope click:

brainly.com/question/3605446

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12.3 x (2x1.7)+6.6 help me out folks?

Answers

Answer:

48.42

Step-by-step explanation:

12.3 x (2x1.7=3.4)+6.6

12.3 x 3.4 + 6.6

12.3 x 3.4 = 41.82

41.82+6.6= 48.42

$2/5lb find unit rate​

Answers

Answer:

1$/2.5lb

Step-by-step explanation:

This is a fraction equal to 5 pounds / 2 dollars

We want a unit rate where 1 is in the denominator, so we have to divide the top and bottom by 2.

5 pounds / 2

2 dollars / 2

This should progress to

2.5 pounds/a dollar

This means that the unit rate is 2.5 pounds per dollar.

You have 20 dollars. You want to buy a video game. When you go to the store and show the clerk your 20 dollars he goes, "You're short! You need 3 times that to buy this game!"

How much money do you need to afford the game?

Answers

Answer:

Step-by-step explanation:

60 because if the store clerk needs three times that to buy the idem 3x6 you need 60dollars for the game

help or all your bobux will dissapear

Answers

Answer: Mark needs 110 ft. fencing to surround all 4 gardens.

Can you teach me fractions in math​

Answers

refer to the attachment

thiz is called fraction!!

hope it helps...

is there anything specific you need help with?

https://www.ducksters.com/kidsmath/fractions_introduction.php

y and x vary inversely and y=6 when x=9 what is y when x equals x=2

Answers

Answer:

y=27

Step-by-step explanation:

x = k/y

9 = k/6

k = 54

so

2 = 54/y

y= 27

i missed the day we learned this, please help

Answers

Answer:

The slope is 1/3

Step-by-step explanation:

Take 2 points on the line, lets use (0,50) and (30,60)

                                                         x1  y1           x2  y2

Use slope formula:

y2 - y1 / x2 - x1

60 - 50 / 30 - 0

10 / 30

which can be simplified to:

1/3

1/4 xy if x = -2/3 and y = 3/5

Answers

Here is your answer

A die is thrown twice. What is the probability that a 4 will result the first time and a 5 the second time? (Assume the die is six sided with each side numbered one through six. Enter your probabilities as a fraction.)

Answers

Answer:

Two (6-sided) dice roll probability table

Roll a… Probability

2 1/36 (2.778%)

3 3/36 (8.333%)

4 6/36 (16.667%)

5 10/36 (27.778%)

Step-by-step explanation:

HELLO I'M A PHILIPPINE

STUDENTS

are 15/18 and 10:12 equal ratios

Answers

Answer:

Well a ratio is basically a fraction

so 15/18 and 10/12

if you were to simplify them to make life easier

5/6 and 5/6

They are equal.

In this case its a coincidence but in case of others.

You can cross multiply and see if they are equal

Answer:

yes

Step-by-step explanation:

simplify it, 15 and 18 go by threes

so 5:6 ratio simplified

and 10:12 also simplifies to 5:6 when cut in half

boom (:

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