An object is launched at 18.4 meters per second (m/s) from a 36.8-meter tall
platform. The equation for the object's height s at time t seconds after launch is
s(t) = -4.9t2 + 18.4t + 36.8, where s is in meters.

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the equation for the object's height s at time t seconds after launch is

s(t) = -4.9t^2 + 18.4t + 36.8

Since are not asked what to look for, we can as well lok for the time taken for the ball to hot the ground. The ball hits the ground at when s(t) = 0. The equaton becomes:

0 = -4.9t^2 + 18.4t + 36.8

Multiply through by -10

49t^2 - 184t - 368 = 0

factorize the resulting expression

t = 18±√184²-4(49)(-386)/2(49)

t =  18±√338564+75656/78

t =  18±√414220/78

t =  18±643.599/78

t =  661.559/78

t = 8.48secs

Hence the object reaches that ground after 8.48seconds


Related Questions

What is the graph of each function rule? 4. Y=|x|-1

Answers

Answer:

Step-by-step explanation:

__________________

X |_-2_|_-1_|__0_|_1_|_2_|

Y |_1_|__0_|__-1_|_0_|_1_|

X=-2 => y=2-1=1

X=-1=> y=1-1=0

X=0=> y=0-1=-1

X=1=> y=1-1=0

X=2 => y=2-1=1

..........

X=10=> y=10-1=9

X=-10=> y=10-1=9

=> (0,+∞]

There were 235 more red balloons than green balloons at a party. After 4/5 of the red balloons and 3/4 of the green balloons burst, there were 92 balloons left. How many balloons were there altogether?

Answers

So we know that the difference is 235.

And a red and green put together is 92 balloons * 5.
So 5 red and green balloons put together is 460, or 92*5.

460-235=225

225/9=25

92-25=67

So 5*67 and 4*25 is 435.


Your final answer should be 435 balloons in total.

What is 2.803 to the nearest half

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.401.2 simplify that and there you go

Find the volume of the cylinder.
either enter an exact answer in terms of t or
use 3.14 for t.

Answers

There is no image, but the formula you would use is h[(3.14r)^2] where h is the height, r is the radius, and 3.14 stands for pi.

Michaela spent $234 preparing for a party with 18 guests. Each guest costs the same amount of money. How many guests could attend a party that cost $104 to prepare?

Answers

Answer:

8 people

Step-by-step explanation:

234 divided by 18 is 13.

104 divided by 13 is 8.

Solve the following:
a
4x - 3 = 2x + 7
what does x equal​

Answers

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

4x-2x-3=7

4x-2x=7+3

2x=10

2x/2 10/2

x=5

Answer:

x=5

Step-by-step explanation:

So we have to combine like terms

4x-3=2x+7

-2x  -2x

2x-3=7

   +3 +3

And now simplify

2x=10

/2   /2

x=5

6x2y – 2x2y – 10x2y + 8x2y =

Answers

Answer:

4y is your answer........

7k-35=5(1+2k)+2k
Can you solve the question

Answers

Answer:

7k-35=5+10k+2k

or, 7k-35=5+12k

or, -35-5=12k-7k

or, -40=5k

or, k=-40/5

Therefore, k=-1/8

Simplify by combining like terms:
5a + 2b - 3b + 4

Answers

Answer: 5a-b+4

Steps:

Reorder and gather like terms

5a+(2b-3b)+4

Collect coefficients of liked terms

5a+(2-3)*b+4

Calculate the sum or difference

5a-b+4

FINAL Answer: 5a-b+4
5a-1b+4 2-3
=-1 so that is why they combine

The measure of the angles are shown in the figure below solve for x

Answers

Answer:

x = 67°

Step-by-step explanation:

The little square in the corner represents 90° because it is a right-angle.

All angles in a triangle add up to 180°.

90° + 23° = 113°

180° (total) - 113° (whats already there) = 67° (x)

I hope this helps. If you need further explanation, let me know.

- profparis

What is the verbal expression for 8+n

Answers

Answer:

eight plus n

Step-by-step explanation:

8 = said as "eight"

+ = said as "plus"

n = said as "n"

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

The verbal expression would be 8 plus a number

Step-by-step explanation:

Hope this helps~

I need help ASAP, square root of 11

Answers

Answer:

The square root of 11 is 3.31662479

Answer

3.317

hope this helped

A book costs $ 67. How much will be paid for 102 such books?​

Answers

The cost of one book = $ 6 7

Number of books = 1 0 2

The cost of 102 books = $ 67 × 102

= $ 6834

Therefore, cost of 102 books = $ 6834

Answer:

$6,834

Step-by-step explanation:

Given:

cost of one book = $67

Total cost = number of books × cost of one book

                 = 102 × $67

                 = $6,834

A six-sided die is rolled 2 times. What is the fractional probability of rolling different numbers?

Answers

Answer:

The probability of getting 6 the first time and an even number the second time is 1/12.

what is probability?

probability is the quantification of possibilities in numbers.

(1) probability of rolling a 6 for the first time:

total possible outcomes = (1,2,3,4,5,6) =6

sample space = 1

probability of getting 6 = sample space/total possible outcomes

probability of getting 6 = 1/6

2)probability of getting an even number

total possible outcomes will be (1,2,3,4,5,6)

sample space  =  (2,4,6) ie 3

probability of this = 3/6 = 0.5

total probability = 1/6*0.5 = 1/12

therefore,

The probability of getting 6 the first time and an even number the second time is 1/12.

to get more about probability refer to:

Step-by-step explanation:

Help!! Thank you so much beforehand!

Answers

First, let's take a look at the larger polygon. The topmost side is 7 units long. Now, let's look at the small polygon. The topmost side is 1 unit long.

These polygons differ by a scale factor of 1/7.

7 * (1/7) = 1

49 * (1/7) = 7

Now, we know that x = 7.

The larger polygon has side lengths of 7, 49, 7, 49

The smaller polygon has side lengths of 1, 7, 1, 7


Can anyone help me please

Answers

Answer:

5) 65 + 35x

6) 13 weeks

hope this helps!

helppppp
can someone answer this?

Answers

Answer:

y=(x-3)^2-2

Step-by-step explanation:

We can see in the graph that the value of y for 1 its 2, so we have to test each equations to see which one is going to give us a 2 whit 1 as the x

-(1-3)^2-2=6 -(1=2)^2-3=-12(1-3)^2-2=2(1+2)^2-3

In ΔFGH, GH = 14, HF = 13, and FG = 15. Which list has the angles of ΔFGH in order from largest to smallest?

Answers

Answer:

HF, GH, FG largest to smallest

Step-by-step explanation:

HFGHFG

Dave wants to put a wooden frame around a mirror. The height of the mirror is 10 inches shorter than three times its width. Which equation represents the perimeter of the mirror, P, in terms of its width, w?
P=2(w + 3w - 10)
P=2(w - 3w – 10)
P=2(w + 3w + 10)
P=2(w – 3w + 10)

Answers

Answer:

the correct equation to this statement is going to be c

It’s the third one P=2(w+3w+10)

Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?
a.
oak
b.
ash
c.
elm
d.
poplar

Answers

Answer:

Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?

a.

oak

b.

ash

c.

elm

d.

poplar

Answer:

 

Step-by-step explanation:

 

a.

oak

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

hope it helps rex

using substitution, how do you solve the simulateous equations y=3x+2 and y=x+6 ?

Answers

Answer:

X = 2

Step-by-step explanation:

y = 3x +2

y = x + 6

x + 6 = 3x + 2

6 = 2x + 2

4 = 2x

x = 2

Substitute y=x+6 to y=3x+2
So…
3x+2=x+6
2x=4
x=2

What is the proportional relationship represented by this table?

Answers

Answer:

the constant of proportionality is 0.2 and it is a proportional relationship

Step-by-step explanation:

2 divided by 10 is 0.2

1 divided by 5 is 0.2

they have the same answer so they are proportional

since they have the answer 0.2 it

is there constant of proportionality

The entire rectangle below has an area of 68ft squared.
Find the area of the shaded triangle. Be sure to include the correct unit in your answer.

Answers

Answer:

34ft squared

Step-by-step explanation:

Since the shaded area is half of the whole rectangle, it would be half of 68. 68/2 = 34, therefore the shaded area is 34ft squared.

Hi!!! This is a sheet of angles of triangles, I currently don’t understand this very well and need help thank you:)

Answers

Step-by-step explanation:

sum of angles in a triangle

two sides of rectangle are (2x + 5xy) and (-7x - 10xy ). Find its perimeter

Answers

Answer:

-10x (1 - y)

Step-by-step explanation:

Given :-

Side 1 = (2x + 5xy)

Side 2 = (-7x - 10xy)

To Find :-

Perimeter

Formula :-

Perimeter (rectangle) = 2 (Side 1 + Side 2)

Solving :-

Perimeter = 2 (2x + 5xy - 7x - 10xy)

= 2 (-5x - 5xy)

= -10x (1 - y) => [Solution]

Step-by-step explanation:

perimeter: 2 (2x+ 5xy+(-7x-10xy)

= 2(2x+5xy-7x-10xy)

= 4x+10xy-14x-20xy

= -10x-10xy

= -10x(1+y).

Answer: -10x(1+y)

Which equation is a step in solving the equation 5 - 3x + 2 = 19?

A.
15 - 3x1 = -17
B.
15 + 3x1 = 17
c.
5 + 3x = -17
D.
5 - 3x = -17

Answers

Answer:

D. 5-3x = 17

Step-by-step explanation:

The step carried out was subtracting 2 from both sides.

[tex]5 - 3x + 2 = 19 \\ 5 - 3x + 2 - 2 = 19 - 2 \\ 5 - 3x = 17[/tex]

Tanisha weighed a wooden block that was labeled 253.8 grams, and found that it actually weighed 235 grams. What was the percent error in the labeling of the block? ( Round to the nearest 10th of a percent. )

Answers

Answer:

8%

Step-by-step explanation:

If the block weighs 235 grams, we can do (253.8-235)/235=18.8/235=0.08. Because it's percent, we need to multiply by 100, so the answer is 8%.

tracie speaks 30 words in 45 seconds, at that rate approximately how many words will tracie speak in 120 seconds?

Answers

30 divided by 45 =.66666667 X 120= 80
80 words in 120 seconds

Tracie would speak approximately 80 words in 120 seconds.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

We can use proportions to solve this problem.

If Tracie speaks 30 words in 45 seconds, then we can set up a proportion to find out how many words she would speak in 120 seconds:

30 words / 45 seconds

= x words / 120 seconds

Now,

45 seconds x (x words) = 30 words x 120 seconds

45x = 3600

x = 80

Therefore,
Tracie would speak approximately 80 words in 120 seconds.

Learn more about unit rates here:

https://brainly.com/question/11258929

#SPJ3

HELP!!! WILL MARK BRAINLIST!!!! AND A 5 STAR REVIEW!!! AND A THANKS

Answers

Rewrite 32 as 32/1

1/4 x 32/1

To multiply 2 fractions, we multiply the nominators together, and the denominator together

1/4 x 32 = 1/4 x 32/1 = 1x32/4x1 = 32/4

Simplify as 8.

So, 1/4 x 32 = 8

You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 57⁰ and the distance to the kite is 300 feet. Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot. ​

Answers

Answer:

256.6 feet

Step-by-step explanation:

     First, I recommend drawing a picture for problems like this. See attached for my example!

-> What does the "angle of elevation" mean? In summary, if your hand has a line going out in both directions horizontally from it, it is the angle "up" to the kite.

     Now, let us find out what formula(s) we will use to solve this problem.

-> We have two of the angles (so we can easily find the third) as well as the hypotenuse

-> We are solving for one of the legs, then adding five feet to it

-> I think I will use the 57° angle and the sine function since we have the hypotenuse and are solving for the opposite side (to the angle 57°)

     Lastly, we will solve! First, I will find the length of the opposite side to the 57° angle.

sin(θ) = [tex]\frac{opposite}{hypotenuse}[/tex]

sin(57°) = [tex]\frac{x}{300}[/tex]

300sin(57°) = x

251.6 ≈ x

x ≈ 251.6 feet

     Now we will add 5 feet to 251.6 since your hand is 5 feet above the ground.

251.6 + 5 = 256.6

Other Questions
someone pls answer my question for history Producers are the people responsible for ___media.?A. analyzingB. makingC. watchingD. critiquing Technology Ages in order from the oldest time period to the current time period. Journalize transactions and follow through accounting cycle to preparation of financial statements.On November 1, 2014, the following were the account balances of Rijo Equipment Repair. Debit Credit Cash $2,790 Accumulated DepreciationEquipment $500 Accounts Receivable 2,910 Accounts Payable 2,300Supplies 1,120 Unearned Service Revenue 400Equipment 10,000 Salaries and Wages Payable 620 Common Stock 10,000 Retained Earnings 3,000 $16,820 $16,820 During November, the following summary transactions were completed. Nov. 8 Paid $1,220 for salaries due employees, of which $500 is for November and $720 is for October salaries payable. 10 Received $1,810 cash from customers in payment of account. 12 Received $3,710 cash for services performed in November. 15 Purchased store equipment on account $3,510. 17 Purchased supplies on account $1,310. 20 Paid creditors $2,510 of accounts payable due. 22 Paid November rent $450. 25 Paid salaries $1,010. 27 Performed services on account worth $900 and billed customers. 29 Received $750 from customers for services to be performed in the future. During Reconstruction in the United States, the Freedmen's Bureau yo can anyone just report this cause I accidentally mean it a question, thxxx Please help. Will mark brainliest! Identify the structures on the right.Label ALabel BLabel CLabel D (100 points;)The area of a right triangle is 39.6 in, and the base of the triangle is 12 inches. Which of the following values is the height of the triangle?303 in. 1.65 in.6.6 in.6.1 in. Which chronic disease is related to a lack of physical exercise?A. CancerB. Lung diseaseC. Cardiovascular diseaseD. Asthma Here are the actual tabulated demands for an item for a nine-month period (January through September). Your supervisor wants to test two forecasting methods to see which method was better over this period. MONTH ACTUAL January 110 February 130March 150 April 170 May 160 June 180July 140 August 130 September 140 Required:a. Forecast April through September using a three-month moving average. b. Use simple exponential smoothing with an alpha of 0.3 to estimate April through September, using the average of January through March as the initial forecast for April. (Do not round intermediate calculations. Round your answers to 2 decimal places.) c. Calculate MAD for each method. d. Use MAD to decide which method produced the better forecast over the six-month period. 36.54 divide by 6.3with solution please thank you so much! PLEASE ANSWER (100points)What occurred in the camps in 1942?Jews were moved out of the camps in the West and sent to Eastern Europe.A forced death march westwardNew labor projectsThe construction of a gas chamber at DachauThe closure of Dachau Help! Please rewrite this in the first person perspective. put the verbs in brackets into their most suitable forms it is very important please tell me the correct answer If you "feel the burn" while exercising, what is actually going on in your body? .The lungs have an excess of oxygen.O B.You have overextended and damaged the muscle.OC.Your heart has stopped beating for a split second.OD.Lactic acid is taking the place of oxygen in the muscle.ResetNext Sobre los que son los factores de riesgo en incidentes How many presidents served under the articles of confederation HURRY The admission fee at a local zoo is $1.50 for children and $6.00 for adults. On a certain day, 2100 peopleenter the zoo and $9, 450.00 is collected. How many children and how many adults attended? I need help ASAPSteve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less than 12. Joe says that (5, 12] is correct interval notation. Who is correct and justify why?