1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dima020 [189]
2 years ago
12

Question 3 options:

Mathematics
1 answer:
melomori [17]2 years ago
5 0

The height of an object can be represented as a function of time.

It takes the rocket 25 seconds to hit the ground

The height function is given as:

\mathbf{h(t) = 400t - 16t^2}

When the rocket hits the ground, we have:

h(t) = 0

So, the height function becomes

\mathbf{ 400t - 16t^2 = 0}

Rewrite as:

\mathbf{ 16t^2 = 400t}

Divide both sides by 16t

\mathbf{ t = 25}

Hence, it takes the rocket 25 seconds to hit the ground

Read more about height functions at:

brainly.com/question/22573423

You might be interested in
Which ordered pair can be removed so that the resulting graph represents a function?
Sunny_sXe [5.5K]

Answer:

(1, 3)

Step-by-step explanation:

6 0
2 years ago
On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left
katen-ka-za [31]
Let x be the money he had originally.
x/3+5=x/2
5=x/6
x=30
So he had $30 originally.
8 0
3 years ago
28 1/2 divided by 1/2
Alchen [17]

Answer: 57

Step-by-step explanation:

28 1/2 / 1/2

make 28 and 1/2 into 57/2

so now 57/2 divided by 1/2

the same as 57/2 times 2/1

multiply straight across

(57)(2)/(2)(1)

114/2

57

8 0
3 years ago
Read 2 more answers
Based on a​ poll, 40​% of adults believe in reincarnation. Assume that 77 adults are randomly​ selected, and find the indicated
damaskus [11]

To solve this problem, we make use of the binomial probability equation:

P = [n! / (n – r)! r!] p^r * q^(n – r)

where,

n is the total number of adult samples = 77

r is the selected number of adults who believe in reincarnation

p is the of believing in reincarnation = 40% = 0.40

q is 1 – p = 0.60

 

a. What is the probability that exactly 66 of the selected adults believe in​ reincarnation?

So we use r = 66

 

P = [77! / (77 – 66)! 66!] 0.40^66 * 0.60^(77 – 66)

P = 1.32 x 10^-16

 

b. What is the probability that all of the selected adults believe in​ reincarnation?

So we use r = 77

 

P = [77! / (77 – 77)! 77!] 0.40^77 * 0.60^(77 – 77)

P =2.28 x 10^-31

 

c.  What is the probability that at least 66 of the selected adults believe in​ reincarnation?

So we use r = 66 to 77

 

P (r=66) = 1.32 x 10^-16

P (r=67) = [77! / (77 – 67)! 67!] 0.40^67 * 0.60^(77 – 67) = 1.44 x 10^-17

P (r=68) = [77! / (77 – 68)! 68!] 0.40^68 * 0.60^(77 – 68) = 1.42 x 10^-18

P (r=69) = [77! / (77 – 69)! 69!] 0.40^69 * 0.60^(77 – 69) = 1.23 x 10^-19

P (r=70) = [77! / (77 – 70)! 70!] 0.40^70 * 0.60^(77 – 70) = 9.38 x 10^-21

P (r=71) = [77! / (77 – 71)! 71!] 0.40^71 * 0.60^(77 – 71) = 6.17 x 10^-22

P (r=72) = [77! / (77 – 72)! 72!] 0.40^72 * 0.60^(77 – 72) = 3.43 x 10^-23

P (r=73) = [77! / (77 – 73)! 73!] 0.40^73 * 0.60^(77 – 73) = 1.56 x 10^-24

P (r=74) = [77! / (77 – 74)! 74!] 0.40^74 * 0.60^(77 – 74) = 5.64 x 10^-26

P (r=75) = [77! / (77 – 75)! 75!] 0.40^75 * 0.60^(77 – 75) = 1.50 x 10^-27

P (r=76) = [77! / (77 – 76)! 76!] 0.40^76 * 0.60^(77 – 76) = 2.64 x 10^-29

P (r=77) = 2.28 x 10^-31

 

The total is the sum of all:

P(total) = 1.48 x 10^-16

 

d. If 77 adults are randomly​ selected, is 66 a significantly high number who believe in​ reincarnation?

          C.Yes​, because the probability that 66 or more of the selected adults believe in reincarnation is less than 0.05

6 0
3 years ago
Suppose y varies jointly as x and z. Find y when x=-9 and z=23, if y=117 when x=-3 and z=-11. Round your answer to the nearest h
Andrew [12]

Answer:

The value of y given the values of x and z in the question is -734.85

Step-by-step explanation:

This is a joint variation question.

First, we are made to know that y varies jointly as x and z.

The equation for this can be written as;

y = k * x * z

Where k is the constant of proportionality.

Let’s calculate k first.

117 = k * (-3) * (-11)

33k = 117

K = 117/33 = 3.55

Now, we proceed to get what y is when x = -9 and z = 23

Let’s plug these values into the initial equation written.

y = k * x * z

We use the value of k calculated above;

y = 3.55 * (-9) * (23) = -734.85

4 0
3 years ago
Read 2 more answers
Other questions:
  • Sydney was asked whether the following equation is an identity: (2x^2-18)(x+3)(x-3)=2x^4-36x^2+162
    15·2 answers
  • What is .8 as a fraction and decimal?
    13·2 answers
  • A line passes through the point (-3, -3) and has a slope of ½​
    12·1 answer
  • Find the equiaent expression of 3+2(2p+4t) A.12p+24t. B.4p+12t+6. C.4p+8t+3. D.10p+6t+3
    5·1 answer
  • Please help me :( Due today
    11·1 answer
  • Functions A,B and C are linear functions. Some values of function A are shown in the table. Function B has y-intercept of (3,0)
    12·1 answer
  • Luis and Erin are playing a game. They each start with 0 points.At the end of the game, Luis has 250 points, and Erin has
    12·1 answer
  • Find the equation of the line that passes through the point (6,-2) and has a slope of 1/2
    11·1 answer
  • Can somebody please give me the awnser?
    8·1 answer
  • A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E IS spun
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!