Mathematics College

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

hi can you please help me with my work please no Link please no Link

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Answer:

Its D i did this before cause I do i-Ready to! <3

1.What should be the c-value in the equation shown below if the equation is a perfect square trinomial

Answers

Answer:

Step-by-step explanation:

a² + 2ab + b²

→ Identify the value of a

a = 1

→ Find b using a

-16 ÷ ( 2 × 1 ) = -8

→ Square the b term

( - 8 )² = 64

Solve x2−5x=8 by completing the square. Round your answers to the nearest hundredth.

Answers

Answer:

[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]

Step-by-step explanation:

[tex] x^2 - 5x = 8 [/tex]

[tex] x^2 - 5x + \dfrac{25}{4} = 8 + \dfrac{25}{4} [/tex]

[tex] (x - \dfrac{5}{2})^2 = \dfrac{57}{4} [/tex]

[tex] x - \dfrac{5}{2} = \pm \sqrt{\frac{57}{4}} [/tex]

[tex] x = \dfrac{5}{2} \pm {\dfrac{\sqrt{57}}{2} [/tex]

using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answers

Answer:

See below

Step-by-step explanation:

Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:

(ax+p)(x+q) where p+q=b and pq=c

What integer represent 11 degrees above zero?

Answers

It would be 11 since an integer above zero is positive and an integer below zero is a negative

Please help!

First phtoto is the answer options for all questons

Second image is the Questions

Answers

Answer:

M is (-7,3)

N is (0,1)

I think p is (4,0) but the option isn’t there so I must’ve done something wrong though I can’t find what-

Drew has two cats. One cat weighs 17 pounds, and the other one weighs 1212 pounds. Audrey’s dog weighs 33 pounds.
What is the difference in ounces between Audrey’s dog and the combined weights of Drew’s cats?
Enter your answer in the box.

Answers

Answer:

48 ounces.

Step-by-step explanation:

Steps:

Combine the weight of the cats.

12 (assuming it is a typo, 1212 pounds is a pretty big cat!) + 17 = 30 pounds

Convert to ounces.

33 pounds = 528 ounces

30 pounds = 480 ounces

Subtract the two/find the difference.

528 - 480 = 48.

The difference in ounces between Audrey's dog and the combined weights of Drew's cats is 48 ounces.

Susan and Sarah love to play their favorite frivia
video game. Susan has a total score of 87,325
points. Sarah has a total score of 46,175. How
many times larger is the 7 in Susan's score than
Sarah's score?

Answers

Answer:

please l don't understand

Please help! Tell the numbers that I have to add to demostrate the answer

Answers

Answer:

I am not sure what you mean but the answer is

Step-by-step explanation:

look at pic 10 pts will mark brainilest

Answers

Answer:

A) The width is 12 cm; the average time is 3 minutes

Step-by-step explanation:

[tex]\frac{5}{3}= \frac{20}{y}[/tex]

Cross multiply.

5 × y = 3 × 20

5y = 60

5y ÷ 5 = 60 ÷ 5

y = 12

The width is 12 cm. Moving onto the time.

[tex]\frac{12}{4} =\frac{y}{1}[/tex]

Cross multiply.

4 × y = 12 × 1

4y = 12

4y ÷ 4 = 12 ÷ 4

y = 3

The time is 3 minutes.

Answer:

answer is d sorry if I'm wrong

-4.5 + 4.4 + ____ = 0
What’s missing?
-6.7 + 6.8
-6.7 + (-6.6)
7.2 + (-7.2)
7.2 + (-7.3)

Answers

Answer:

-6.7+6.8

Step-by-step explanation:

‐4.5+4.4+x=0====> -0.1+x=0===> x= 0.1

so we are looking for the choice with the answer of 0.1

-6.7+6.8=0.1✔

-6.7+(-6.6)= -13.3❌

7.2+(-7.2)=0❌

7.2+(-7.3)=(-0.1)❌

Use the figure below to answer the question. What is the measure of ∠ABC? *

Answers

Answer:

D 98°

Step-by-step explanation:

180-82 = 98 or the long way

3x+5 = 180-82

3x = 93

x = 31

3(31) + 5 = 98

Answer please and explain

Answers

Answer:

C=84

Step-by-step explanation:

Since you use 3 for pi. You plug the radius into the formula. C=2×3x14=84

In the picture, the radius is 14, this stands for r in the equation givin. Also pie is equivalent to 3. You then plug in the numbers into the equation. You can see this in the work I gave. You then times all of the numbers together it get your final answer or 84

Foresters want to estimate the average age of trees in a stand. Determining age is cumbersome, because one needs to count the tree rings on a core taken from the tree. In general, though, the older the tree, the larger the diameter, and diameter is easy to measure. The foresters measure the diameter of all 1132 trees and find that the population mean equals 10.3. They then randomly select 20 trees for age measurement

Answers

Answer:

hello your question has some missing information attached below is the missing information

answer : mean ratio of estimate = 117.62

standard error ( SE ) = 3.9765

Step-by-step explanation:

Given data : n = 20, μx = 10.3 , N = 1132

∑ age ( yi) = ( 125 + 119 + --------- + 99 ) = 2148

∑ ( Y - rX)^2 = 6116.728

mean of age ( y ) = ∑ y / 20 = 2148 / 20 = 107.4

mean of diameter ( x ) = ∑x /20 = 188.1 / 20 = 9.405

∴ ratio estimate = y /x = 107.4 / 9.41 = 11.4195

i) The mean of ratio estimate

= 11.4195 * μx = 11.4195 * 10.3 = 117.6204

ii) determine the standard error ( SE )

calculate ; [tex]s^{2} _{r}[/tex] = 1 / ( n-1 ) * ∑ (Y - rX)^2 = 1/19 ( 6116.728 ) = 321.933

Var ( μr ) = [ ( N - n ) / N*n ]*[tex]s^{2} _{r}[/tex] = [ ( 1132 - 20 ) / (1132*20) ] * 321.933

= 15.81226

therefore the SE = √15.81226 ≈ 3.9765

A picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, A margin of 1 1/2 inches is to be left on all sides of the picture. What is the area of the printed picture?

Answers

Answer:

The area of the printed picture is 172.5 square inches.

Step-by-step explanation:

Since a picture is to be printed onto a sheet of paper with dimensions of 81/2 x 11 inches, and a margin of 1 1/2 inches is to be left on all sides of the picture, to determine what is the area of the printed picture the following calculation must be carried out, knowing that the area of a rectangle is equal to the base multiplied by the height:

81/2 = 40.5

1/2 = 0.5

40.5 - 1.5 x 4 = 34.5

11 - 1.5 x 4 = 5

34.5 x 5 = 172.5

Therefore, the area of the printed picture is 172.5 square inches.

A jar has 6 red marbles and 4 blue marbles. If 2 marbles are chosen, one at a time without replacement, what is the probability that both marbles will be red

Answers

1/3 Probability both are red

red picked first:

6/10

red picked second:

5/9 (9 as first red marble not replaced so 5 red marbles remaining and 4 blue marbles still)

6/10 * 5/10 = 1/3

Hope that helps!!

Pls awnser I will give brainliest

Answers

9514 1404 393

Answer:

C. 22/7

Step-by-step explanation:

You may be aware that 22/7 is a value used to approximate π almost as often as is 3.14.

In case you actually want to carry out the calculations, you have ...

C = πd

π = C/d

π ≈ (60 3/50)/(19 11/100) = (3003/50)/(1911/100) = 6006/1911 = 22/7

π ≈ 77/(24 1/2) = 77/(49/2) = 22/7

π ≈ (86 9/10)/(27 13/20) = (869/10)/(553/20) = 1738/553 = 22/7

π ≈ 99/(31 1/2) = 99/(63/2) = 22/7

WILL GIVE BRAINLYIST
69X420

Answers

Answer:

28,980

Step-by-step explanation:

Easy claps my boiiiiiiiii

Hail Hydra

Seamus draws a triangle with angles of measures 40°, 60°, and 80°. Edwina draws a triangle with these same three angle measures. Which statement must be true?
A Edwina's triangle is the same size as Seamus's triangle.
B Edwina's triangle is the same shape as Seamus's triangle.
C The perimeter of Seamus's triangle is greater than the perimeter of Edwina's triangle.
D The area of Edwina's triangle is less than the area of Seamus's triangle.

Answers

Answer:

It may be D or A hopeit helps

Step-by-step explanation:

interval of [0⁰,360⁰]

3 sin² tan 0-3 sin²0 = 0

20 points

Answers

Answer:

θ=41.3∘,138.7∘,221.3∘,318.7∘ Explanation: 3sin2θ−10(1−2sin2θ)=0 23sin2θ−10=0 s

Step-by-step explanation:

2. An RC car sold for $58.85. This
amount includes a sales tax of 7%.
What was the cost of the RC car
before tax?

Answers

Answer:

Step-by-step explanation:

$55

X= price of RC car.

Tax is 7%

1.07X=$58.85

X=$58.85/1.07=$55

b+2.01=5.5

what does B stand for

Answers

Answer:

3.49

Step-by-step explanation:

subtract 2.01 from 5.5

1. The total area of all the faces of a three-dimensional figure is called the?

Pls Answer Fast PLS PLS PLS

Answers

Surface area? Maybe I’m not sure tho

Solve for x
A) 8
B) 10
C) -11
D) 5

Answers

Answer: A)8

Since the angle that equals 80 degrees is the same as the angle that equals 9x+8 that means you have 9x+8=80

9x+8=80
-8 -8
9x=72
- -
9 9
X=8

A) 8

80=9x+8
Minus 8 on each side
72=9x
Divide each side by 9
8=x

Which of the following points are solutions to the system of inequalities
shown below?
Check all that apply.
x + y = 4+3
y > 4
O A. (2, -1)
B. (3,6)
C. (2,8)
O D. (1,5)
E. (1,1)
O F. (-1,8)

Answers

D
E
AP3X..
QuIz
anskskskssksksskskwwf

Find 50% of 108:
Find 25% of 108:
Find 75% of 108:

Answers

Answer:

50% of 108: 54

25% of 108: 27

75% of 108: 81

Step-by-step explanation:

Hope this helps have a nice day

Answer:

50% : 54

25% : 27

75% : 81

Step-by-step explanation:

If you multiply by the decimal version of the precentages, you will get the remaining amount of how much it is. so to find 50% of 108, you do 108 * 0.50 and it will give you the 50% of 108.

Which is the correct mapping statement for a rotation 180∘ about the origin?

(x,y)↦(y,x)
(x,y)↦(−x,−y)
(x,y)↦(−y,x)
(x,y)↦(y,−x)

Answers

Answer:

Step-by-step explanation:

it moved twice to the left hand side because it's 180 anticlockwise

Answer:(x,y)↦(−x,−y)

Step-by-step explanation:

Please help find answer to questions 22

Answers

9514 1404 393

Answer:

A) 26°

Step-by-step explanation:

The angle x decreases at a rate that is 12 times the rate of increase of angle y.

x = 360 -12y

We want x = 2y, so ...

2y = 360 -12y

14y = 360

y = 360/14 ≈ 25.71 ≈ 26

The integer angle closest to y is 26°.

I’m begging for someone to help me with this so bad it about in order largest to small et) (NO LINKS) (NO LYING) IT MUST BE THa PART 2

Answers

Answer:

1) Yes

2) Yes

3) Yes

4) No

5) Yes

6) Yes

7) Yes

8) Yes

9) Yes

10) No

Step-by-step explanation:

The triangle inequality theorem states that the length of any 2 sides of a triangle must be greater than the third side of that same triangle.

1) By Inspection, 2 + 10 > 11.

Thus, this set can be lengths of the sides of a triangle

2) 7 + 9 > 10