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lisabon 2012 [21]
3 years ago
12

HELP PLS‼️‼️ During a chemistry experiment, the cork in a 0.6-foot tall beaker with an effervescent so- lution pops off with an

initial velocity of 20 feet per second. The quadratic model for this situation is
h=-16^2+vt+s
Where v is the initial velocity, t is in seconds, and s is in the initial height.
How many seconds does it take for the cork to hit the table?
Answer in units of sec.
Mathematics
1 answer:
ASHA 777 [7]3 years ago
8 0

Answer: you just have to be patient and wait and see how long it would take

Step-by-step explanation:

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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?
AleksAgata [21]

Answer:

\large \boxed{2}

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}

Check:

\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}

It checks.

7 0
3 years ago
Each month cameron budgets $1040 for fixed expenses $980 for living expenses and $120 for annual expenses his annual net income
sineoko [7]
Let us first find how much he is spending every year, to do this let's find his monthly expense and multiply it by 12.


Every month Cameron spends 1040 + 980 + 120 = 2140

To find out how much he spends yearly, multiply the monthly value by 12,
2140 x 12 = 25680


This value is more than his net income so he clearly has a surplus, but to check we can subtract 129 from every month to get:

(1040 + 980 + 120 - 129) = 2011

2011 x 12 = 24132, which shows that his budget is saving 129 surplus every month. Choice B is correct.
5 0
3 years ago
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Involves 6 suspects, 6 weapons and 9 rooms. one of each is randomly chosen and the object of the game is to guess the chosen thr
Tcecarenko [31]
Their would be 21 different solutions for this problem
7 0
3 years ago
What is the solution to x in 3(x+2)-4x+2=3x+2(x-8)
NeTakaya

Answer:

x=4

Step-by-step explanation:

4 0
3 years ago
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At beacon hills middle school, 10% of children travel by bus. if this represents 60 cgildren how many children attend to the sch
VMariaS [17]
600,, because if 10% is 60 all you have to do is multiply 60 times 10 to get your answer on how many children attend the middle school. 20%= 120,, 30%= 180,, 40%= 240 and so on.
5 0
4 years ago
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