The function h defined by h(t)=(-4.9t + 29.4)(t+2) models the height in meters, of an object t seconds after it is launched. When will the object hit the ground?

Answers

Answer 1

Answer:

The time the object will hit the ground is 2 s.

Step-by-step explanation:

Given;

h(t) = (-4.9t + 29.4)(t + 2)

Open the bracket;

h(t) = -4.9t² + 29.4t  -9.8t + 58.8

h(t) = -4.9t²  + 19.6t + 58.8

When the  object hit the ground, the final velocity will be zero;

[tex]v = \frac{dh}{dt} = 0 \\\\\frac{dh}{dt} = -9.8t + 19.6 = 0\\\\9.8t = 19.6\\\\t = \frac{19.6}{9.8} \\\\t = 2 \ s[/tex]

Therefore, the time the object will hit the ground is 2 s.


Related Questions

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 8 units.
The graph of f(x) = x2 is shifted down 44 units.
The graph of f(x) = x2 is reflected over the x-axis.

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Answer:

The graph of f(x)=x^2 is reflected over the x-axis. The answer is D

Answer:

The answer is D

Find the value of x that will make A||B

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Answer:

15?

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

What is the term for a straight line extending from the center of a circle to the outside surface of a circle?

Answers

Answer:

radius

Step-by-step explanation:

hope this helps

Are the triangles similar ? If so which shortcut (SSS, SAS, AA) proves they are similar?

Answers

Answer:

Yes, SAS.

Step-by-step explanation:

3/5 = 0.6 and so does 4.8/8

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

y=3/4x-2

the y intercept is -2
and the slope is 3/4
slope= change in y/change in x

please helpppppppppppppp

Answers

Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

PLZZZZ HELP THIS IS WORTH 40 POINTS PLZZZ
I’ll give extra points!!!

Answers

Answer:

1) 15

2) 10

3) 11

4) -4

5) -8

6) 12

7) 14

8) -6

Step-by-step explanation:

Substitute the values thats all lol, if u need a more detailed explanation just comment <3

Question 1 (2 point)
(16.02 LC)
Which shape can be classified as a rectangle? (2 points)
a
Rhombus
Сь
Square
c
Trapezoid
d
Parallelogram

Answers

Answer d parallelogram

SOMEONEEEE HELLPPPPPPP PLEASE?!??!

Answers

Answer:

(1,4)

Step-by-step explanation:

the Answer is: (x,y)=(1,4)

Use this picture to name one pair of CORRESPONDING angles:

Answers

Answer:

6 and 8

Step-by-step explanation:

You have $25 in your bank account. You start saving $9 each week. Your friend has
$10 in his account and is saving $12 each week. Which system of equations could be
used to model the total amount in the bank account, t as a function of weeks, w.
A)t=9w+25. T=12w+10
B)t+w=25. 10t+9w=12
C)t=9w+12w. T=10w+12
D)t=9w+12w. T+w=25

Answers

Answer:

A)t=9w+25. T=12w+10

Step-by-step explanation:

Equation for you:

t = 25 + 9w

Equation for friend:

t = 10 + 12w

help please, solve for D
12
25
4
5

Answers

Answer: 81.98274589 is what i got but it will be 81 hope this helped

Step-by-step explanation:

GameStop pays $12.00 for each Minecraft video game. They markup each game by 40%. What is the selling price?

Answers

Answer:

$16.80

Step-by-step explanation:

12 * 1.4 = 16.8

Answer:

$16.80

Step-by-step explanation:

Find 40 % of 12 by multiplying .05*12 to get $4.80. Add the original price $12 and the price increase $4.80 to get the new selling price of $12

What is the volume of a square pyramid with a base area of 36 and a height of 9 cm?
o 36 cm
o 108 cm
o 18 cm
o 324 cm

Answers

Answer:

D (108)

Step-by-step explanation:

I did test

The volume of a square pyramid with a base area of 36 and a height of 9 cm is 108 cm. The correct option is B.

What is pyramid?

A pyramid is a polyhedron with triangular faces that meet at a common vertex and a polygonal base.

The name of the pyramid is determined by the shape of the base. A pyramid with a square base, for example, is called a square pyramid; a pyramid with a triangular base, a triangular pyramid; and so on.

The formula to find the volume of a square pyramid is given by:

V = (1/3) x base area x height

Substituting the given values, we get:

V = (1/3) x 36 x 9

V = 108

Thus, the correct option is B.

For more details regarding pyramid, visit:

https://brainly.com/question/17615619

#SPJ7

Which is more 35 inches or 3 feet

Answers

Answer:

3 feet

Step-by-step explanation:

3 feet is more because 35 inches = 2 feet and 11 inches.

Josh gets paid at a rate of $10.73 per hour. He also gets paid time and a half for overtime (over 40 hours). If he worked 47 hours this week, what is his pay before taxes?

Answers

Answer:

$541.90

Step-by-step explanation:

We'll start with his regular pay, 40 hours times $10.73

10.73 x 40 = 429.20

His overtime pay is 10.73 + 1/2(10.73) = 10.73 + 5.365 = 16.095, rounded to 16.10

He worked 7 hours at the rate of $16.10/hour

16.10 x 7 = 112.70

Add the two totals together for his total pay before taxes:

429.20 + 112.70 = 541.90

Please lmk if you have questions.

Factorizar Sumas de cubo


1) 8x³ + 1

2) 27a³ + b³

3) 8x³ + 1,000

Answers

[tex] \huge{\mathbb{{ANSWERS}}}[/tex]

1.) 8x³ + 1

[tex] \underline{ \tt{{(2x + 1) \times (4 {x}^{2} - 2x + 1)}}}[/tex]

2.) 27a³ + b³

[tex] \underline{ \tt{{(3a + b) \times (9{a}^{2} - 3ab + {b}^{2})}}}[/tex]

3.) 8x³ + 1,000

[tex] \underline{ \tt{{8(x + 5) \times ( {x}^{2} - 5x + 25)}}}[/tex]

Note: My anwer is base on my knowledge

Hopefully Help:)

#CarryOnLearning

_MafiaQueen4

If the parent function is y = 3^x,which is the function of the graph?

Answers

Answer:

[tex]y = 3x + _ 2[/tex]

Step-by-step explanation:

The graph of y = 3^x will pass through the point (0, 1).  This graph passes through the point (-3, 1); it has been shifted to the left 3 units.

A function can be translated, or shifted, to the left by adding a number to x before the function is applied; in this case, it means adding 3 to x before the base is raised to the power.  This gives us

This graph has also been translated, or shifted, down 2 units.  This can be done by subtracting a number from the end of the function; this gives us

HELPPP PLSSS ASAP!!!!!!!!!!!!!!!!!!!!1

Answers

Answer: 4 2/3

number letter: A

The length of the piece of ribbon = 3 1/2 yards= 7/2 yards

The length of ribbon required to make  a bow =  3/4 yards

Now, the number of bows can be made in the given piece of ribbon = 7/2 divided by 3/4

 = 7/2*4/3= 14/3 = 4 2/3

Hence,  the number of bows can be made in the given piece of ribbon =  4 2/3

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which is closest to the probability that the next customer will pay with cash? (Round the answer to the nearest hundredth.)

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Answer:

2268

Step-by-step explanation:

how many 3 digit whole numbers are there between 99 and 1000

Answers

Answer:

901

Step-by-step explanation:

1000 - 99 = 901

thats how you find the answer

Answer:

910

Step-by-step explanation:

5.
Draw a scatter plot that shows a negative association that is not linear.

Answers

Something similar to this. It is negative because the y decreases as the x increases. It is nonlinear because you cannot make a straight line through the data points.

what are the components of a proofs in proving that two triangle are congruent?

Please answer it i need now i will follow,br,ainlist,thanks.​

Answers

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Step-by-step explanation:

PLS HELP THIS IS FOR A GRADE AN IS TIMED

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Answer: 392

Step-by-step explanation:

HELPP asap I’ll mark you as brainlister

Answers

Answer:

65.97

Step-by-step explanation:

Don't really know how to explain how to do this, but Omni Calculator is very helpful.

Hope that this helps!

Please Help me out I just need the answers and pls make sure they are right idrc for an explantion​

Answers

1. 215.10

2. 57.60

3. 16.11

4. 8.24

5. 89.40

6. 149.10

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a circus charges $2.50 for a kid tickets and $6 for adult tickets. Last weekend, twice as many kids attended the circus than adults. If the tickets sales totaled $7, 150, how many kids attended the circus?

Answers

1300 kids attend i think

The value of 23 + 33

Answers

Answer:

56 hope it helps....

hhcxxghjo9

Answer:

2^3 + 3^3 = 35

Step-by-step explanation:

You can simply use a calculator on your PC, phone, tablet, or macbook. If you just add 2 to the 3rd power and 3 to the 3rd power then you'd get 35. I'm sorry I'm not really good at math but I just wanted to give you a simpler way to do this problem considering it is not too hard to solve.

Based on the samples collected if there are 10000 voters in the town how many voters can we predict will vote for smith

Answers

The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided

Answer:

Kindly check explanation

Step-by-step explanation:

We can make prediction about a population based on the outcome of a sample statistic.

From a random sample of voters, n ; the number who voted Smith = x

(p = x / n) gives the proportion of votes Smith will get according to the sample :

For instance :

n = 100 ; x = 10

p = 10 / 100 = 0.1

The predicted Number of votes Smith will Get if there are 10000 voters :

p * 10000

0.1 * 10000

= 1000 votes

Mr. Rosas had $90 to purchase snacks for a school party. He bought 36 bags of chips and 36 bottles of juice. Each bag of chips cost $0.69, and each bottle of juice cost $1.20. How much money did Mr. Rosas have left after these purchases?

Answers

Answer:

$21.96

Step-by-step explanation:

Total money with Mr. Rosas = $90

Total cost of chips = 36*0.69 = $24.84

Total cost of juices = 36*1.20= $43.2

Total money spent = $24.84 + $43.2 = $68.04

Money left with Mr. Rosas

= $90 - $68.04

= $21.96

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