A model rocket is launched with an initial upward velocity of 62/ms. The rocket's height h (in meters) after t seconds is given by the following.
h=62t-5t^2
Find all values of t for which the rocket's height is 29 meters.
Round your answer(s) to the nearest hundredth.

Answers

Answer 1

9514 1404 393

Answer:

  t = 0.49, 11.91

Step-by-step explanation:

A graphing calculator can show you the answers quickly. The times are 0.49 seconds and 11.91 seconds.

__

We can write the equation as ...

  h = 29

  62t -5t^2 = 29 . . . . . substitute for h

  -5(t^2 -12.4t) = 29

  -5(t^2 -12.4t +6.2^2) = 29 -5(6.2^2) . . . . complete the square

  -5(t -6.2)^2 = -163.2 . . . . . simplify

  t -6.2 = ±√(-163.2/-5) = ±√32.64 . . . . divide by -5, take the square root

  t = 6.2 ±5.71

  t = 0.49, 11.91

The rocket has a height of 29 meters at t=0.49 seconds and t=11.91 seconds.

A Model Rocket Is Launched With An Initial Upward Velocity Of 62/ms. The Rocket's Height H (in Meters)

Related Questions

10. Maddy has saved $55 from birthday money. She is earning $25 per week for babysitting her neighbors, which
she also saves. Which function can be used to nd a, the amount of money Maddy will have saved at the end of w
weeks of babysitting?
A. a =55w +25 B. a = 25w + 55 C. a = 55w + 80 D. a = 80w +55

Answers

Answer:

B

Step-by-step explanation:

because 25w is 25 dollars per week and you have to add the 55 dollars she earned which equals the total of money she will have.

sorry I'm not great at explaining lol

Pls Help and put a proper answer!
You want to buy a digital camera that costs $234. You have saved $50 so far. You earn $6.50 per hour at your summer job. Write and solve an inequality that represents the number of WHOLE hours you need to work in order to buy the digital camera.

Answers

6.5x+50>_234
C=#of hrs (>_ is the greater than equal to symbol btw)

6.5x+50>_234
-50. -50
6.5x/6.5>_184/6.5

x>_ 24 hrs


Answer:

H = (234 - 50)/6.50

H = 29 hours

Step-by-step explanation:

H = hours to work

H = (234 - 50)/6.50

H = 28.31 hours

Find the equation of circle passing through points (5 7) and (2 -2 ) whose center lies on the 2x-y=1​

Answers

Answer:

(x-2)²+(y-3)²=5².

Step-by-step explanation:

1. the equation of line through points (5;7) and (2;-2) is:

[tex]\frac{x-5}{3} =\frac{y-7}{9}; \ => \ 3x-y-8=0.[/tex]

2. to find the equation of the line, which is perpendicular to the line 3x-y-8=0:

the vector (3;-1) is perpendicular to the line 3x-y-8=0 and it is the vector-pointer for the requred line, and if |n₁|*|n₂|=0 (where n₁ is normal vector to the line 3x-y-8=0 and n₂ is normal vector to the required line), then 3*x-1*y=0 (where 'x' and 'y' any numbers). x=1; y=3, then n₂(1;3), then the required line is x+3y+C=0, where C - is unknown number.

3. to find the equation of the line, which is perpendicular to the line 3x-y-8=0 and passes through the middle point of (5;7) and (2;-2):

middle point is (7/2;5/2), then after substitution of coordinates of the middle point into the equation x+3y+C=0 it will be 3.5+3*2.5+C=0, ⇒ C= -11.

the required equation is x+3y-11=0

4. to calculate the intersection point of x+3y-11=0 and 2x-y=1:

[tex]\left \{ {{2x-y=1} \atop {x+3y=11}} \right. \ => \ (2;3)[/tex]

the point (2;3) is the centre of the required circle.

5. to calculate the radius² of the required circle:

r²=(5-2)²+(7-3)² or r²=(2-2)²+(2+3)², then r²=5².

6. if the centre of the required circle is (2;3) and its r²=25, then it is possible to make up the equiation of the circle:

(x-2)²+(y-3)²=5².

Write two integers whose sum is 6 and difference is also 6.

Answers

Answer:

6,0

Step-by-step explanation:

Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation

Answers

Answer:

2, 1 and -3

Step-by-step explanation:

Given the quadratic expression

x^2+2x = 3

Write in standard format

x^2+2x-3 = 0

Get the value of a, b and c

The standard form is ax^2+bx+c = 0

ax^2 = x^2

a = 1

bx = 2x

b = 2

c = -3

Substitute into the general formula

x = -b±√b²-4ac/2a

x = -2±√(2)² - 4(1)(-3)/2(1)

The correct values are the values in bold format

Write an expression that represents the height of a tree that begins at 5 feet and increases by 4 feet
per year. Let y represent the number of years.

Answers

4y+5. Btw it’s a linear equation, the y intercept is 5 and the slope is 4

Help anybody? If so thanks

Answers

Acute angle and a right angle makes a obtuse I learned this in 4th

Sean earns $8.50 per hour and made a total of $80.75 today. How many hours did he work?

Answers

Answer: 9.5 hours

In order to solve this, you must divide his total (80.75) by his hourly wage (8.50) When you do that, you get 9.5, so he worked 9.5 hours

Step-by-step explanation:

Find the tangent of angel U.

Answers

Answer:

C

trust me that is my answer

C, 8/15

Tangent is opposite over adjacent. Opposite of angle U is 8 and adjacent is 15.

List all of the factors of 64. (Type the factors in numeric order from smallest to largest. Separate each factor with a comma and a
space after the comma.)
The solution is
I
Submit
Pass
Save and close
Don't know answer
ne web and Windows

Answers

Answer:

{1,2,4,8,16,32,64}

Step-by-step explanation:

1×64=64

2×32=64

4×16=64

h ft
5 ft
30 ft
6 ft

A. 20
B.25
C.23
D.30

Please help!!

Answers

Answer:

25ft

Step-by-step explanation:

You take the bigger length of the two triangles and divide by the the smaller length of the smaller triangle. This is what the equation would look like:

30/6=5

Then you multiply 5 to the height of the smaller triangle and you got the height for the bigger triangle:

5 x 5=25

I hope this helped you!

Which point is located in Quadrant I? A) (0, -5) B) (0, 0) C) (0, 5) D) (5, 1)












































































































help please hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppppppp

Answers

Answer:

uhm please show a graph

Step-by-step explanation:

could you show the graph?

What is the median of the numbers 312, 336, 488, 384, 368, 336, 416, 624

Answers

Answer:

376

Step-by-step explanation:

312,336,336,368,384,416,488,624

the middle numbers are 368 and 384

the median is the middle of the middle numbers

to find this number we add up 368 and 384 and divide the answer by 2

368+384=752

752/2=376

Answer:

376

Step-by-step explanation:

1. To find the median you have to first arrange the numbers in numerical order.

2. Count how many numbers you have.

3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.

So considering you have 8 numbers if you divide 8 ÷ 2 = 4

the 4th number arranged is 368. Now to average 368 and 384. 368+384=752

752 ÷ 2 = 376

Arvida scored 40 points in the first game against Ammons Middle. During the second game Arvida scored 56 points. By what percent did the points scored change

Answers

Answer:

40%

hope this helped :)

40 percent is the answer

|X+1|+|x-2|=3. Can you please help me?

Answers

Answer:

I can answer if you make me brainliest

I need help if right I will mark you

Answers

Answer:

B

Step-by-step explanation:

Jacob made a banner for a sporting event in the shape of a parallelogram. The area of the banner is 127 1/2 square centimeters. The height of the banner is 4 1/4 centimeters. What is the base of the banner?


PLS HELP PLS PLS​

Answers

Answer:

The base of the banner is 30 centimeters.

Step-by-step explanation:

Area = base × height

Plug in the numbers:

127 1/2 = b × 4 1/4

Convert mixed fractions into improper fractions for easier calculations.

Improper fraction formula: (denominator × mixed number + numerator)/denoninator

(2 × 127 + 1)/2 = 255/2

(4 × 4 + 1)/4 = 17/4

Rewrite equation:

255/2 = b × 17/4

Isolate variable b by multiplying the reciprocal of 17/4 (which is 4/17).

1020/34 = b

Simplify.

30 = b

5). Find the surface area.
3.6 yd
7 yd
3 yd
2 yd

Answers

15.6 . hope this helps

Which is the better buy: 12 OZ for $1.25or 18 OZ for $1.75?

Answers

Answer:

18 OZ is better$1.75 to buy

An angle measured 140 more than the measure of its supplementary angle. What is the measure of each angle ?

Answers

Answer:

Supplementary angle equals 180°  

Complementary angle equals 360°

Step-by-step explanation:

Conjugate angles are more or less related to complementary and supplementary angles. The sum of the two angles put together equals 360 degrees. The last angle that will be named is straight. The measure of the angle equals 180 degrees.

The price of the stereo was $96 the tax rate was 6% what was the tax

Answers

Answer:

101.76

Step-by-step explanation:

The point at which two sides of a polygon meet is called a(n).
OA) segment
OB) face
OC) edge
OD) vertex

Answers

Answer:

its called a vertex

Step-by-step explanation:

The line segments that form a polygon are called the sides of a polygon.

A point where two sides meet is a vertex.( in plural form is vertices)

Pls help ill give brainliest

Answers

it is located in quadrant 2, as it is originally in the third quadrant and is flipped over the x axis.

I need some help with this

Answers

1st blank: 2x
2nd blank: 4x
3rd blank: 8
4th blank: 16
5th blank: 4

Find the 59th term of the arithmetic sequence 26, 17, 8, ...

Answers

58x9= 522
26 - 522 = -496

Answer:

-496

Step-by-step explanation:

it's right :)

Find the area of the figure to the nearest tenth

A. 99.0 in.
B. 31.5 in.
C. 11.0 in
D. 155.5 in.

Answers

Answer:

155.5 is the answer

Step-by-step explanation:

Answer:

The correct answer is A) [tex]99.0 \ in.^{2}[/tex]

Step-by-step explanation:

Just took the test

hope this helps :)


Answer will be a fraction.
A group of coins is shown below.
What is the probability and its
complement of randomly
selecting a nickel?


Answers

Answer:

1/3

Step-by-step explanation:

3 out of the nine coins are nickels, when that is simplified your fraction becomes 1/3

what linear equation is represented by the table

0 -2
1 2
2 6
3 10

Answers

I think it is y=4x-2.

Which of the following exponential functions represents the graph below?

Answers

Answer:

d

Step-by-step explanation:

I think the answer is d

Find the volume of the following figure using unit cubes.

Answers

Answer:

Volume : 94

Step-by-step explanation:

2(4 x 5) = 40

2(3 x 5) = 30

2(3 x 4) = 24

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

40 + 30 + 24 = 94

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