If an object is dropped from a height of 144 feet, the function h(t)=-16t^2+144 gives the height of the object after t seconds. When will the object hit the ground
A. 3s
B. 6s
C. 1.5 s
D. 9s

Answers

Answer 1

Answer:

A. 3s

Step-by-step explanation:

The height of the object after t seconds is given by:

[tex]h(t) = -16t^2 + 144[/tex]

When will the object hit the ground?

It hits the ground after t seconds, and t is found when [tex]h(t) = 0[/tex]. So

[tex]h(t) = -16t^2 + 144[/tex]

[tex]0 = -16t^2 + 144[/tex]

[tex]16t^2 = 144[/tex]

[tex]t^2 = \frac{144}{16}[/tex]

[tex]t^2 = 9[/tex]

[tex]t = \sqrt{9}[/tex]

[tex]t = 3[/tex]

3 seconds, so the correct answer is given by option a.


Related Questions

Answer #1 please ASAP

Answers

Answer:

4.5

Step-by-step explanation:

To find the median, put the data in order from smallest to largest

1,2,2,3,4,4,5,5,8,10,10,11

The count up the number of data points

12

Divide by 2

12/2

Split the data into 2 groups, 6 in each, starting at the beginning

1,2,2,3,4,4,   5,5,8,10,10,11

Since there is an even number

Add the last number in first group and the first number in the last group and divide by 2

(4+5)/2 = 9/2 = 4.5

The median is 4.5

the correct answer is 4.5

Pedro observed what customers ordered at his ice cream shop and found the following probabilities:

- P(Vanilla) = 0.3
- P(Sundae) = 0.2
- P(Vanilla and Sundae) = 0.15

Find the probability that a customer ordered Vanilla ice cream given they ordered a Sundae.

Answers

Answer: 75%

Step-by-step explanation: 0.15/0.2=0.75

The probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Pedro observed what customers ordered at his ice cream shop and found the following probabilities:

P(Vanilla) = P(V) = 0.3

P(Sundae) = P(S) = 0.2

P(Vanilla and Sundae) = P(V and S) = 0.15

To find the probability that a customer ordered Vanilla ice cream given they ordered a Sundae:

P(V|S) = P(V and S)/P(S)

P(V|S) = 0.15/0.2

P(V|S) = 0.75 or 75%

Thus, the probability that a customer ordered Vanilla ice cream given they ordered a Sundae is 0.75 or 75%

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Let f and g be two functions.
Given that (f ∘g)(x) = g – 1 (x) = [tex]\frac{x+1}{2} , where x ∈ℝ find an expression for f (x).

Answers

I’m looking for the same answer

After simplifying, what will x be equivalent to?
a2a4=ax

Answers

Answer:

x=8a

Step-by-step explanation:

Given data

We have the expression

a2a4=ax

Simplifying the LHS(Left Hand Side)

8a^2=ax

8a=x

Hence x will simplify to

x=8a

Devon can take one of three different buses to and from work (bus a, b or c). he randomly catches one bus in the morning and another one on teh way home. teh table list the sample space of outcomes

Answers

Answer:

BB

Step-by-step explanation:

Answer:

ca

Step-by-step explanation:

Valerie and Bret have a total 18 dog show ribbons. Bret has twice as many ribbons as
Valerie
How many ribbons does each have?
no

Answers

Twice = double, double means x2 so 18/2 is 9 9x2=18 so valerie has 9 ribbons — hope this helps!

Answer: Valerie has 9 and Bret has 18

Step-by-step explanation:

27-18= 9

What is 3,101 divided by 16 as a decimal

Answers

Answer:

193.8125

Step-by-step explanation:

193.8125

=

193 Remainder 13

193.8125 / simplified as 194

3,101 ÷ 16 = 193.8125

193.8125 reduced

-

194

helpppp quckkkkk is timeddddd i will give brainliest to whos quickest and right

Answers

Answer:

A if I'm wrong I apologize

Find the sum of the first 20 terms of the sequence 2,8,14,20

Answers

Answer:

S20=230

Step-by-step explanation:

2,8,14,20first determine whether it is arithmetic progression or geometric sequence. for APCommon difference (d) = second term - first term

D=T2-T1 D=T3-T2

D=8-2 D=14-8

D=6 D=6

Also try for GP COMMON RATIO= T2/T1

r=T2/T1 r=T3/T2

r=8/2 r=14/8

r=4 r=7/4

therefore, we can conclude that this is AP since we have the same common differences in the sequence

Sn=n/2[2a+(n-1)]. where, a=first term n=number of terms S20=20/2[2*2+(20-1)] S20=10(4+19) S20=10(23) S20=230

Answer: 1180

Step-by-step explanation:

since its going 2,8,14,20, we can see it goes up by 6 every time Add 6 every time until u have 20 Numbers in total(including 2,8,14,20) then add them together to get ur total

2. Determine whether segment AB is tangent to the given circle
12 pol
2. AB
А
12
B
13
Yes
No

Answers

Answer:

no

Step-by-step explanation:

13² should be equal to 4² + 12² for that

checking, we get that 169 is not equal to 16+144= 160

so it's not right angle

to be tangent, it should be right angle

If a driver drives at a constant rate of 38 miles per​ hour, how long would it take the driver to drive 209 ​miles?

Answers

Answer:

5 hours and a half!

Step-by-step explanation:

209miles divided by 38 miles per hour is 5.5!!

5.5 miles 209 divided by 38


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<HIK to <GFD

Step-by-step explanation:

Alternate exterior angles are angles that are on the exterior sides alternately on a transversal

Answer:

∠HIK and ∠GFD

Step-by-step explanation:

Alternate exterior angles are angles that lie on the same parts of the parallel lines, but on alternate (different) sides.

∠HIK is on the lower left.

∠GFD is on the upper right.

HELP

You want to buy a $26,000 car. You can make a 10% down payment, and will finance the balance with a 4% interest rate for 60 months (5 years). What will your monthly payments be?

Answers

Answer:

Step-by-step explanation:

given

P= $26,000

R = 4%

T = 5 years

find I ?

I = P.R.T

I = $26,000*0.04*5

I = 5,200

17. Mrs. King took 12 crates packed with lunch boxes on a field trip. Each crate had 6 lunch boxes inside. How many lunch boxes were there altogether? Write a multiplication sentence to solve. IRROR​

Answers

Answer:

12 x 6 = 72

Step-by-step explanation:

if she took 12 crates each with 6 boxes inside of them thats 12 x 6 lol

simple math moment

Does anyone know how to do both of these questions?

Answers

Answer:

Step-by-step explanation:

y = x^2+ 2x + 7
y = 7 + x

Answers

Answer:

when x=0 y=7

when x=-1 y= 6

Step-by-step explanation:

to find x & y we can make the two x expressions equal to each other

x²+2x+7=7+x (we are going to set it equal to zero to find the roots/the x value)

x²+x=0

x(x+1)=0

x=0 x=-1 (two solutions for x)

now we just plug in these values and find the y values

when x=0 y=7

when x=-1 y= 6

Sam takes 6 apples from the basket, that is, only 25% of all apples in the
basket. What is the total number of apples in the basket?​

Answers

Answer:

24 apples

Step-by-step explanation:

set up the problem 6=0.25X. then divide 6 by 0.25 to get X by itself. 24 is the answer.

One interior angle of a triangle is 60⁰. The other angle measures are 25⁰ and x⁰. Which of the following could be the values of x?

Answers

Answer:

x = 95°

Step-by-step explanation:

x = 180° - 60° - 25° = 95°

The length of a room is 19 feet. When using a 1/4 inch = 1 foot scale, what would be
the length of the wall on a floor plan?

Answers

Answer:

1 Expert Answer

19.5 ft would be represented, in the floor plan, as ¼ of 19.5 inches, i.e. 4.875 inches (four and seven eighths inches).

Please like and give me brainliest and rate!

The length of the wall on the floor plan will be 4.75 in


Step by step

The length of the wall is 19 ft
1/4 of an inch = 1 ft
19/4 = 4.75in (4 3/4 in)

According to order of operations, which operation should be done first in this
problem:
45 - 9.5 + 8
a. multiplication
b. addition
c. division

Answers

D) division (PEMDAS)

Imagine that for every inch of rain that fell here, a nearby community in the mountains received a foot and a half of snow. How many inches of snow fell in the mountain community between 5:00 pm and 7:00 pm? HELP PLEASE AND QUickLY!

Answers

Answer:

I think it's 0.2 inches of snow????

9. find c when r = 6cm and d = 1cm.

Answers

Answer:

C=2×π×diameter2. So. C=2×3.14×6 cm2. C=18.84 cm

I hope it will be correct answer

Emiliano firmó hoy un pagaré por la cantidad de $ 92.000. la tasa de interés estipulada es un 20% anual
Cuantos dias se necesitan para los intereses de la playa $ 8.000

Answers

Answer:

159 días.

Step-by-step explanation:

Dado que Emiliano firmó hoy un pagaré por la cantidad de $ 92.000 a una tasa de interés estipulada de un 20% anual, para determinar la cantidad de días que se necesitan para que dicho interés genere unos $8.000 se debe realizar el siguiente calculo:

92.000 x 0.2 = X

18.400 = X

18.400 / 365 = 50,41

8.000 / 50,41 = X

158.69 = X

Así, se necesitarán 159 días para que se generen $8.000 en intereses.

Oscar ran the 100-yard dash in 12.65 seconds. Jesiah ran the 100-yard dash in 11.57 seconds.

How many seconds faster was Jesiah's time than Oscar's time?

Jesiah's time was faster than Oscar's time by seconds.

Answers

12.65-11.57=1.08 hope this helped

Answer:

Jesiah's time was faster than Oscar's time by 1.08 seconds.

Step-by-step explanation:

To find how much faster Jesiah ran than Oscar, subtract Oscar's time with Jesiah's time.

12.65 - 11.57 = 1.08

Jesiah was faster than Oscar by 1.08 seconds.

Good luck ^^

For a company picnic, Melissa ordered a box of fresh-baked gingerbread cookies and sugar cookies. She got 25 cookies in all. 4 of the cookies were gingerbread. What percentage of the cookies were gingerbread? pls help me asap WILL GIVE BRAINLEST​

Answers

Answer:

16% of the cookies were gingerbread.

Step-by-step explanation:

4/25 = 16/100 or 16%

Hope this helps! :)

Ainsley is going to the movies. The movie ticket costs $9.75. Snacks, s, cost $4.75 each. Write an equation to represent the total cost, t, of Ainsley’s trip to the movies.

Answers

Answer:

T = 9.75 + 4.75 s

Step-by-step explanation:

total cost: T = 9.75 + 4.75 s

S = each snack

so the equation for Ainsley’s trip to the movies is

T = 9.75 + 4.75 s

If A = {1, 3, 5, 15}, B = {2, 3, 5, 7}, C = {2, 4, 6, 8} Then what is (A U B) ∩ C?

Answers

Answer:

[tex]A\ u\ B\ n\ C = \{2\}[/tex]

Step-by-step explanation:

Given

[tex]A = \{1, 3, 5, 15\}[/tex]

[tex]B = \{2, 3, 5, 7\}[/tex]

[tex]C = \{2, 4, 6, 8\}[/tex]

Required

Determine (A U B) ∩ C

First, we calculate A u B

[tex]A\ u\ B = \{1,3,5,15\} \ u\ \{2,3,5,7\}[/tex]

This means that we bring A and B together without repetition.

[tex]A\ u\ B = \{1,2,3,5,7,15\}[/tex]

Next:

[tex]A\ u\ B\ n\ C = \{1,2,3,5,7,15\}\ n\ \{2,4,6,8\}[/tex]

This means that we only get the common items

[tex]A\ u\ B\ n\ C = \{2\}[/tex]

The greatest common factor of 30 and 18 is 6. What do you think the term greatest common factor means?

Answers

Answer: 6

Step-by-step explanation:

6 x 5 = 30

6 x 3 = 18

6 x 1 = 6

The term greatest common factor means the biggest number that can divide into a group of numbers, and in this case, the numbers are 30, 18, 6, and the biggest number that can divide into all of them is 6.

Hope this helps,

Good luck!

A common factor is a number with which two or more numbers will be divided equally.

Can someone help me! it would mean the world! and tysm! <3

Answers

Answer:

90m

Step-by-step explanation:

AB = 18m

BC = AB + 9 = 18 + 9 = 27m

Perimeter = 2(AB + BC)

= 2( 18 + 27)

= 2 x 45

= 90m

Helpppp i’ll give brainliest

Answers

Answer:

First blank - SAS congruence condition

Second blank - Congruent

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