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
FromTheMoon [43]
3 years ago
13

David drops a ball from the top of a building with a height of 64 feet.

Mathematics
1 answer:
marishachu [46]3 years ago
6 0

Answer:

Step-by-step explanation:

The position formula for this is actually

s(t)=-16t^2+64

It says, in not so may words, that the object was dropped under the influence of gravity from a height of 64 feet. When it hits, the ground, it will not be above ground at all anymore...it will be ON the ground and have a height of 0. Therefore, if we set the position function equal to 0 and solve for t, we are finding out how long it will take for the object to hit the ground.

0=-16t^2+64 and

16t^2=64 and

t^2=4 and

t = 2

It takes 2 seconds for the object to hit the ground from 64 feet up.

You might be interested in
Combine and simplify the following radical expression <br><br> ASAP ASAP ASAP ASAP
Montano1993 [528]

Answer:

\sqrt[3]{3}

Step-by-step explanation:

Our expression is: \frac{1}{3} \sqrt[3]{81}.

Let's focus on the cube root of 81 first. What's the prime factorisation of 81? It's simply: 3 * 3 * 3 * 3, or 3^3*3. Put this in for 81:

\sqrt[3]{81} =\sqrt[3]{3^3*3}=\sqrt[3]{3^3} *\sqrt[3]{3}

We know that the cube root of 3 cubed will cancel out to become 3, but the cube root of 3 cannot be further simplified, so we keep that. Our outcome is then:

\sqrt[3]{3^3} *\sqrt[3]{3}=3\sqrt[3]{3}

Now, let's multiply this by 1/3, as shown in the original problem:

\frac{1}{3}* 3\sqrt[3]{3}=\sqrt[3]{3}

Thus, the answer is \sqrt[3]{3}.

<em>~ an aesthetics lover</em>

6 0
3 years ago
-3(x + 4) = (-x - 1)
zaharov [31]

Answer:

x=-5.5

Step-by-step explanation:

-3(x+4)=(-x-1)

1. Distribute

-3x+(-12)=-x-1

2. Simplify

-3x-12=-x-1

-2x-12=-1

-2x=11

x=-11/2

x=-5.5

4 0
3 years ago
Read 2 more answers
7. The amount of memory on a CD determines how many songs I can download to it.<br> Indep.<br> Dep.
galina1969 [7]

\bf \underset{dependent}{\stackrel{\textit{songs I can download}}{S(M)}}~~=~~\underset{independent}{\stackrel{\textit{how much memory I have}}{M}}

the memory is the independent, because that can vary at will, so it's independently varying at will, whilst the amount of songs are limited to how much memory there's in the CD, so the songs are dependent on the memory availability.

3 0
3 years ago
Are the associative properties true for all integers?
Thepotemich [5.8K]

Its true for integers if you are using the associative property in addition or multiplication ONLY.

7 0
3 years ago
An arithmetic sequence "a" starts with 84, 77 define "a" recursively
sweet [91]

Answer:

First, let's define an arithmetic sequence:

In an arithmetic sequence, the difference between any two consecutive terms is always the same.

Then we can write it in a general way as:

aₙ = a₁ + (n - 1)*d

where:

aₙ is the n-th term of the sequence.

d is the constant difference between two consecutive terms.

a₁ is the initial term of our sequence.

Now in this case we know that the first terms of our sequence are:

84, 77, ...

Then we know the initial term of our sequence:

a₁ = 84.

And the value of d can be calculated as:

d = a₂ - a₁ = 77 - 84 = -7

Then the general way of writing this sequence is:

aₙ = 84 + (n - 1)*(-7)

And the recursion relation is:

aₙ = aₙ₋₁ - 7

So for the n-th term, we must subtract 7 of the previous term.

4 0
3 years ago
Other questions:
  • Which sample size of a population of 200 is most likely to give a reliable conclusion?
    11·1 answer
  • Angelo bought a chain that is 4 yards long. He wants to cut the chain into 5 equal-lengt
    11·1 answer
  • What is x if we have angles are 68 and 70
    11·1 answer
  • A number is chosen at random from the first 100 positive integers. Find the probability that the number is a multiple of 7. 7/50
    14·2 answers
  • 28×12 what is the answer ​
    5·1 answer
  • Determine the area of the triangle.
    5·1 answer
  • A supermarket sells various brands of peanut butter.
    10·1 answer
  • Please help! which expression is equivalent to (-√-1)?
    12·1 answer
  • How does the graph change between point A and point B?
    13·2 answers
  • Write a point slope equation ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!