Fireworks are fired from the roof of a 100-foot building and travel 84 feet per second. The equation h = -16t 2 + 84t + 100 models the height h of the fireworks at any given time t seconds.

Answers

Answer 1

The firework reaches the ground after 6.25 seconds.

A projectile is the curved motion of an object thrown into space under the influence of gravity.

Given that the firework experiences a projectile motion given by the equation:

h = -16t² + 84t + 100

where h is the height after t seconds.

The firework reaches the ground when h = 0, hence:

0 = -16t² + 84t + 100

t = 6.25 seconds.

Therefore the firework reaches the ground after 6.25 seconds.

Find out more at: https://brainly.com/question/11422992


Related Questions


Find the value of x and y

Answers

X= 45 degrees y= 85 degrees

Point J(-3, -7) was rotated to J'(7, -3). How
many degrees was the rotation?

Answers

Answer:

90 clockwise

Step-by-step explanation:

Answer:

270 degrees

Step-by-step explanation:

If both numbers are negative it means its in the lower left quadrant, so to reach 7 and -3, that means we need to reach the lower right quadrant so a 270 degree turn works

You accelerate from 5m/s to 60m/s in 11 seconds what is the average acceleration.

Answers

Change in acceleration: 60 - 5 = 55 m/s

Average acceleration = 55 m/s / 11 second = 5 meters per second squared ( m/s^2)

Answer: 5 m/s^2

select the reasons

options for #3
- definition of a quadrilateral
- if two lines are parallel and cut by a transversal, then the alternate interior angles are congruent

options for #5
- ASA congruence property
- SAS congruence property
- definition of a quadrilateral

Answers

Step-by-step explanation:

Givens:

ParallelogramQR || TSQT || RSQS ≅ SQ

With that information, we can figure out the rest.

∠RQS≅∠TSQ and ∠QSR≅∠SQT --- these are alternate interior angles, on opposite sides of the transversal QS while between parallel lines

Finally, ΔQST≅SQR because of ASA.

===============

sorry that took so long, I severely overcomplicated things before seeing the simple solution

a line that passes through the point (4, 2) and has the slope of -3/2

Answers

The answer is: y = -3/2 x + 8

Graph:

To find the answer we use the formula;

y-y1 = M1 (x - x1)

y-2 = -3/2 (x-4)

When fully solved: the answer is:
y = -3/2 x + 8

MATHEMATICS Proportion Х Y Z 145) If line XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ? A) 12 in B) 24in C) 48in D) 72 in 147) If line YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY? A) 3ft B) 6ft C) 9ft D) 12ft 148) If line YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY? A) 3in B) 27in C) 2ft D) 18in​

Answers

Answer:

  145. YZ = 48 in

  147. XY = 6 ft

  148: XY = 3 in

Step-by-step explanation:

In each case, multiply the given proportion by a value that makes it match the given information about the segments.

145)

XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ?

Multiply the proportion by 24 in:

  XY : YZ = (24 in)(1) : (24 in)(2) = 24 in : 48 in

  YZ = 48 in . . . (C)

__

147)

YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY?

Multiply the proportion by 3 ft:

  XY : YZ = (3 ft)(2) : (3 ft)(3) = 6 ft : 9 ft

  XY = 6 ft . . . (B)

__

148)

YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY?

Multiply the proportion by 3 in:

  XY : YZ = (3 in)(1) : (3 in)(4) = 3 in : 12 in = 3 in : 1 ft

  XY = 3 in . . . (A)

Which equations are true equations?

Select all correct answers.

150/5^2=30−4^2−12

8⋅7/2−12=22−2⋅3

48 ÷ 8 + 2³ = 5 + 3²

9^2−7^2=20÷(7−2)

Answers

Answer:

The second and third equations are the correct ones.

Step-by-step explanation:

You don't need one, if you want one, do the problem yourself.

Answer: B. 8⋅7/2−12=22−2⋅3 and C. 48 ÷ 8 + 2³ = 5 + 3²

Can someone pls help me out with this the best I can do is 50 points

Answers

All of the questions are filled.



Sorry i cannot help you

An oddly-shaped water bottle holds 30.5 L of water. If the water bottle is 2/3 full, how many L are in the water
bottle?

Answers

Answer: 2/3 of 30.5 is 20.3333333333

Find the y-intercept of the following equation. Simplify your answer.
y = 9x - 3/7
y-intercept

Answers

Step-by-step explanation:

Find the slope? or what....

Ignore the numbers
Help me how do I do this questionnnnn

Answers

Answer: No, they don't have enough money.

==========================================================

Explanation:

Let's find the area of the shape given. It's composed of two rectangles.

larger rectangle area = 8*9 = 72 sq meterssmaller rectangle area = 6*7 = 42 sq meters

The two rectangle areas add to 72+42 = 114 sq meters. This is the total floor area.

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

Let x be the number of tins of polish the caretaker buys.

One tin covers 12 m^2 of floor area. Buying x of them covers 12x square meters of space. We need to cover 114 square meters.

Solving 12x = 114 leads to x = 9.5 when you divide both sides by 12.

Since the caretake cannot buy half a tin, we must round up to the nearest whole number. This means s/he must buy 10 containers of polish.

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

Each bottle of polish costs £19

Ten of them cost 10*19 = 190 pounds. This is before the discount.

If you save 30%, then you save 0.30*190 = 57 pounds and the final price is 190-57 = 133 pounds.

Or put another way: if you save 30%, then you pay the remaining 70% and that final price is 0.70*190 = 133 pounds.

This final price is 3 more pounds than what the caretaker has, so they don't have enough money.

GIVING BRAINLIST TO FIRST RIGHT ANSWER NO BOTS

Answers

Answer is D line graph I’m sure of it

I=8x4-3x3+5x2+1000x , determine la Utilidad Marginal evaluándola para 20 unidades.

Answers

Answer:

5

Step-by-step explanation:

yeah idek what you said I just need the points please write in English next time but I see something a about marginal

Find the length of the missing leg in the following right triangle.

A) 35.5

B) 20

C) 8

D) 400




Please and thank you!

Answers

Answer:  B) 20

Work Shown:

[tex]a^2 + b^2 = c^2\\\\b^2 = c^2 - a^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{29^2 - 21^2}\\\\b = \sqrt{841-441}\\\\b = \sqrt{400}\\\\b = 20\\\\[/tex]

I applied the pythagorean theorem.

x^2+b^2=c^2

21^2+b^2=29^2

441+b^2=841

b^2=400

sqrt 400=20

b=20

Myra likes blueberry yogurt, but cherry yogurt is her favorite. Yesterday, she bought 3 cartons of cherry yogurt for every 2 cartons of blueberry yogurt. If Myra bought 3 more cartons of cherry yogurt than blueberry yogurt yesterday, how many cartons of cherry yogurt did she buy?

Answers

Answer:

9 cherry, 6 blueberry

Step-by-step explanation:

lets do a table!

cherry | blueberry

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

   3             2

   6             4

   9             6

When there are 2 blueberry, there are 3 cherry. 3 is 1 more than 2. When there are 4 blueberry, there are 6 cherry. 6 is 2 more than 4. When there are 6 blueberry, there aare 9 cherry. 9 is 3 more than 6.

PLEASR HELP REWARDING A LOT

Answers

Answer:

(6, 10)

Step-by-step explanation:

You found (6, 4)

The second would be

(6, 10) making BD || to CA

There are 6 yellow, 9 blue, and 4 orange balls inside an urn. 8 balls are chosen from the urn without replacement. Let X, Y , and W denote the number of yellow, blue, and orange balls selected, respectively.

(a) Find P{X + W = 1}.
(b) Find P{X = 2, Y = W}

Answers

Using the probability concept, it is found that:

a) P{X + W = 1} = 0

b) P{X = 2, Y = W} = 0.0667

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order in which the balls are chosen is not important, hence, the combination formula is used to find the number of outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In total, 8 balls are chosen from a set of 19, hence:

[tex]T = C_{19,8} = \frac{19!}{8!11!} = 75582[/tex]

Item a:

1 from a set of 15.7 from a set of 4.

Not possible, hence:

P{X + W = 1} = 0

Item b:

2 from a set of 6.3 from a set of 9.3 from a set of 4.

Hence:

[tex]D = C_{6,2}C_{9,3}C_{4,3} = \frac{6!}{2!4!} \times \frac{9!}{3!6!} \times \frac{4!}{3!1!} = 5040[/tex]

Then, the probability is:

[tex]p = \frac{D}{T} = \frac{5040}{75582} = 0.0667[/tex]

P{X = 2, Y = W} = 0.0667

A similar problem is given at https://brainly.com/question/15536019

Graph the set of real numbers on a number line. {x|-3 < x and x< 1}

Answers

Answer:

9

Step-by-step explanation:

8000000000000

9

0

9


11. Solve 77 +5 - 92 < 18 + 7. Graph the solution.

Answers

I think it must be 87 .

Step-by-step explanation:

Not sure how to explain.

FedEx will ship the Olympic medals from the producer to Japan. Each medal weighs 0.5 kilograms. A box carries 6 medals. If FedEx charges $28 per every 10 kilograms, how much will cost to ship 30 medals ?

A. $280
B. $168
C. $42

Answers

Answer:

42

Step-by-step explanation:

weight of medals:

30 (0,5) = 15 kg

cost of 5 kg:

28/2 = 14

cost of shipping:

14+28=42

Find the area of the grey pathway

Answers

52 square metres

Step-by-step explanation:

we can divide the pathway in to 2 parts to find the area

1st part

length = 12m

breadth = 2m

[tex]area = 12 \times 2 = {24}^{2}m [/tex]

2nd part

length = 16-2 = 14

breadth = 2

area =

[tex]area = 14 \times 2 = {28}^{2} m[/tex]

atlast add both areas

52 square metres

Answer:

52m²

Step-by-step explanation:

find the area of ​​the horizontal rectangle, add it to the vertical rectangle and remove the common part

2 * 16 + 2 * 12  - 2 * 2 =

52m²

Pls due now I will give brainliest if right

Answers

Answer:

(-2,1)

Step-by-step explanation:

i graphed it ..its right

Answer: Choice A

Explanation:

The graph is shown below.

The line y = 2x+5 goes through (0,5) and (1,7).

The line y = (1/2)x+2 goes through (0,2) and (2,3)

The two lines intersect at exactly (-2, 1) which is the solution to the system.

the arithmetic mean between a and 10 is 30. find the value of a ?​

Answers

Answer:

20

Step-by-step explanation:

Arithmetic mean = sum of value÷Number of value

=10+30=40÷2=20

Write an equation for the line with a slope 3 and Y intercept -2

A. y=-3x -2

B. y= 1/3 x -2

C. y= 3x - 2
with explanation pls

Answers

Answer:

C. y=3x-2

Step-by-step explanation:

Well we know the equation: y=mx+b

The slope is m, so m= 3

And the y-intercept is b, so b= (0,-2) or b=-2

Then,

Subsitute everything in:

y= 3x -2

I hope this helped :)

Can you divide 45x676787? Q from khan academy Thanks!

Answers

Answer:

15227707.5

More info

Step-by-step explanation:

45x676787 the divide it by 2

4 kilometers x miles

Answers

Answer:

6 437 376 m2 (2.49 mi)

Step-by-step explanation:

0.62137119 miles = 1 kilometer

hsdfhedrjeryeruerueru

Answers

what is that? Or I am not understanding

Uhh well that’s interesting

An oil barrel contains 20.3 gallons of oil. One gallon is equal to 3.8 L. How many liters of oil are in the barrel?

Answers

Answer:

77.14L

Step-by-step explanation:

20.3x3.8=77.14L


problem referred below

Answers

Answer:

?? i don't know the answer

Determine whether the inverse of F(x) is a function.

Answers

Yes it is a function because it passes the vertical line test.
It’s a function ! This is due to the fact is passed the vertical line test. Also remember, A function f has an inverse only when its graph is reflected about the line y = x
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