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ivanzaharov [21]
3 years ago
6

An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it f

alls is represented by the equation S(t) = –16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?
Mathematics
2 answers:
Inga [223]3 years ago
7 0

Answer:

o<t<5/4

Step-by-step explanation:

I just took the test and got it correct

sukhopar [10]3 years ago
6 0
The distance ( S ) is represented by the equation:
S ( t ) = - 16 t² + 25
- 16 t² + 25 = 0
- 16 t² = - 25  / · ( - 1 )
16 t² = 25
t ² = 25 / 16 
t = √( 25/16) = 5/4 = 1.25 s  ( we will not accept the negative value )
Answer:
The acorn is moving trough the air for 1.25 seconds.
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Use substitution to solve the following system of equations. What is the value of y? {3x+2y=12{5x−y=7 A) y = -3B) y = 3C) y = -2
Vlad [161]

<em>Answer</em>

B) y = 3

<em>Step-by-step explanation</em>

Given the system of equations:

\begin{gathered} 3x+2y=12\text{ \lparen eq. 1\rparen} \\ 5x-y=7\text{ \lparen eq. 2\rparen} \end{gathered}

Isolating x from equation 1:

\begin{gathered} 3x+2y-2y=12-2y \\ 3x=12-2y \\ \frac{3x}{3}=\frac{12-2y}{3} \\ x=\frac{12}{3}-\frac{2}{3}y \\ x=4-\frac{2}{3}y\text{ \lparen eq. 3\rparen} \end{gathered}

Substituting equation 3 into equation 2 and solving for y:

\begin{gathered} 5(4-\frac{2}{3}y)-y=7 \\ 5\cdot4-5\cdot\frac{2}{3}y-y=7 \\ 20-\frac{10}{3}y-y=7 \\ 20-\frac{13}{3}y=7 \\ 20-\frac{13}{3}y-20=7-20 \\ -\frac{13}{3}y=-13 \\ (-\frac{3}{13})\cdot-\frac{13}{3}y=(-\frac{3}{13})\cdot-13 \\ y=3 \end{gathered}

6 0
1 year ago
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Naddika [18.5K]

Answer:

7.2111(4 decimal places)

Step-by-step explanation:

a squared by b squared=c squared

36 + 16 is 52, so then you need to square root 52 which is 7.2111 to 4 decimal places. I hope you benefit from this. Cheers

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Which of the following is equivalent to the expression 2/5 divided by 4 ?
erik [133]

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

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