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Dimas [21]
3 years ago
5

You are riding a roller coaster when a shoe falls off your foot. The function y=200−16t^2 represents the height y (in feet) of t

he shoe t seconds after it falls off your foot. The shoe lands on the top of a 31-foot-tall building. After how many seconds does the shoe hit the building?

Mathematics
1 answer:
pickupchik [31]3 years ago
6 0
A graphing calculator shows it takes 3.25 seconds for the shoe to hit the building.

_____
200 -16t^2 = 31
169 = 16t^2
√(169/16) = t
t = 13/4 = 3 1/4

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Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.
Goshia [24]

Answer:

\sf 2^{(n+1)}

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

  \sf \boxed{\bf t_n=ar^{(n-1)}}

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

    a = 4

    r = 8 ÷4 = 2

\sf t_n =4*2^{(n-1)}

    \sf = 4*2^n * 2^{(-1)}\\\\     = 4*2^n*\dfrac{1}{2}\\\\     = 2*2^n

   \sf = 2^{(n+1)}

4 0
1 year ago
Gwen had an awful time camping! When she got home, she counted 5 mosquito bites on her legs for every 4 bites on her arms. Gwen
pogonyaev

Answer:

5*4 = 20

20 + 3 = 23

answer : 23

Step-by-step explanation:

7 0
2 years ago
Complete the statement about statistical studies.
Olenka [21]
A - survey

Because i know everything
4 0
2 years ago
Read 2 more answers
What is not a pair of equivalent fractions for 5/8 and 1/2
n200080 [17]
Two fractions equivalent to each: Just divide or multiply both top AND bottom by the same number.<span>
5/6: 10/12 OR 15/18 
15/30: 5/10 OR 1/2 
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Rewrite each pair or fractions with common denominator: Find the difference between the two bottom numbers, and multiply top and bottom number. 

5/8 and 3/4: 4X2=8, 3X2=6. So, 5/8 and 6/8. 
2/5 and 1/2: 2/5 and 2.5/5 
9/9 and 5/7: 9/9 and ~5.7/9 

Rewrite each in simple form: Find greatest common factor and divide. 

9/54: 1/6 
20/40: 1/2 
100/110: 10/11 

Are these fractions equivalent? 
No. 5/1 and 5/5 are, because they are both 5 wholes. 1/5 is not because it is a fifth of a whole. 


In what situation can you use multiplication to find equivalent fractions? 
I'm sorry but I do not understand this question. 
</span>Source(s):<span>I hope I  helped, seeing as I have graduated with a math degree.</span>
7 0
3 years ago
If 8 identical blackboards are to be divided among 4 schools, how many divisions are possible? how many if each school must rece
DaniilM [7]
Alright, so we'd use the combinations with repetition formula, so we choose from 4 schools to distribute to and distribute 8 blackboards. It's then 

( 8+4-1)!/8!(4-1)!=11!/(3!*8!)=165

For at least one blackboard, we first distribute 1 to each school and then have 4 blackboards left, getting (4+4-1)!/4!(4-1)!=7!/(4!*3!)=35
8 0
3 years ago
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