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agasfer [191]
3 years ago
9

The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone'

s velocity just before it strikes the ground?
Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0
The height of the Empire State Building is 318.00 meters. If a stone is dropped from the top of the building, what is the stone's velocity just before it strikes the ground? 

Answer: In order to find the stone’s velocity just before it strikes the ground we will use one of the free fall equations. V = √(2gh). We already have the values needed which are the gravity (9.8 m/s2) and our total height (318 meters). All you have to do is solve for V. You should get 78.95 m/s. 
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A polynomlal has been factored, as SHOWI Deluw.
Tom [10]

Answer:

The zeros are 6,-5,9

Step-by-step explanation:

The factored form of the polynomial is given as:

f(x) = (x - 6)(x + 5)(x - 9)

To find the zeros of this function, we set f(x)=0 and solve for x.

(x - 6)(x + 5)(x - 9) = 0

This implies that:

(x - 6) = 0 \: or \: (x + 5) = 0 \: or \: (x - 9) = 0

We solve for x to get:

x  = 6 \: or \: x  =  -  5  \: or \: x =  9

The zeros are 6,-5,9

3 0
3 years ago
Grandma made an apple pie. Josh and his brother joe finished 4/5 of it. Then 3 friends came over and shared the left over. How m
love history [14]

Answer:

The 3 friends ate 1/5 of the pie.

Step-by-step explanation:

The total of this pie is 5/5 so if Josh and his brother ate 4/5 of the pie that means that there was 1/5 pie left so that is what the 3 friends ate.

Hope I helped :)

4 0
3 years ago
Read 2 more answers
Which of the following is the simplest form of this expression?
Readme [11.4K]
The numerator could be written a⁴/⁵

The denominator could be written a²/³


Now solve  ( a⁴/⁵) / (a²/³) ==> a⁽⁴/⁵ ⁻²/³)  = a⁽²/¹⁵)

This is the simplest way
4 0
3 years ago
Read 2 more answers
let a = (a1, a2) and b = (b1, b2) and c = (c1,c2) be three non zero vectors. if a1b2 - a2b1 is not equal to 0. then show three a
Ksenya-84 [330]

Consider the contrapositive of the statement you want to prove.

The contrapositive of the logical statement

<em>p</em> ⇒ <em>q</em>

is

¬<em>q</em> ⇒ ¬<em>p</em>

In this case, the contrapositive claims that

"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."

The first equation is captured by a system of linear equations,

\begin{cases}c_1 = \alpha a_1 + \beta b_1\\ c_2 = \alpha a_2 + \beta b_2\end{cases}

or in matrix form,

\begin{pmatrix}c_1\\c_2\end{pmatrix} = \begin{pmatrix}a_1&b_1\\a_2&b_2\end{pmatrix}\begin{pmatrix}\alpha\\\beta\end{pmatrix}

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

\begin{vmatrix}a_1&b_1\\a_2&b_2\end{vmatrix} = a_1b_2-a_2b_1 = 0

and this is what we wanted to prove. QED

3 0
3 years ago
rewrite 1/4 books over 1/3 hour as a unit rate. A. 1 1/3 bookss/hour B. 1/12 books/hour C. 3/4 books/hour D. 12 books/hour
Nonamiya [84]

Answer:

The Answer would be option C. 3/4 books per hour

Step-by-step explanation:

You would flip 1/3 to 3/1 which makes it a whole number. then multiply

1/4 and 3.

Therefore your answer is 3/4

I hope this helped you,

8 0
3 years ago
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