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labwork [276]
3 years ago
13

What is the next number in the sequence? 2, -1.25, -4.5, -7.75, ...

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0
You subtract 3.25 each time so -11
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The position equation for a particle is s of t equals the square root of the quantity t cubed plus 1 where s is measured in feet
vladimir1956 [14]
\bf s(t)=\sqrt{t^3+1}
\\\\\\
\cfrac{ds}{dt}=\cfrac{1}{2}(t^3+1)^{-\frac{1}{2}}\cdot 3t^2\implies \boxed{\cfrac{ds}{dt}=\cfrac{3t^2}{2\sqrt{t^3+1}}}\leftarrow v(t)
\\\\\\
\cfrac{d^2s}{dt^2}=\cfrac{6t(2\sqrt{t^3+1})-3t^2\left( \frac{3t^2}{\sqrt{t^3+1}} \right)}{(2\sqrt{t^3+1})^2}\implies 
\cfrac{d^2s}{dt^2}=\cfrac{ \frac{6t(2\sqrt{t^3+1})-1}{\sqrt{t^3+1}} }{4(t^3+1)}

\bf \cfrac{d^2s}{dt^2}=\cfrac{6t[2(t^3+1)]-1}{4(t^3+1)\sqrt{t^3+1}}\implies 
\boxed{\cfrac{d^2s}{dt^2}=\cfrac{12t^4+12t-1}{4t^3+4\sqrt{t^3+1}}}\leftarrow a(t)\\\\
-------------------------------\\\\a(2)=\cfrac{215~ft^2}{44~sec}
8 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through points (15,9) and (-2,9)
Vikki [24]

Answer:

y=9

Step-by-step explanation:

Slope: 9-9/-2-15=0

Therefore, y=0x+b

Plug values in: 9=0(-2)+b

0+b=9

b=9

Therefore, equation is y=9

7 0
3 years ago
Evaluate 2r (t – 1) ifr =<br> 4 and t<br> = 6
garri49 [273]

Answer:

40

Step-by-step explanation:

Step 1: Define

2r(t - 1)

r = 4

t = 6

Step 2: Substitute and Evaluate

2(4) · (6 - 1)

8 · 5

40

4 0
3 years ago
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PLZ PLZ❓❓❓HELP
Liula [17]

Answer:

22.36

Step-by-step explanation:

20*.86=17.2

12 *.43= 5.16

5 0
3 years ago
Latisha hiked along a trail that was 9.66 miles long last Saturday. It took her 4.2 hours to complete the trail.What was Latisha
lesya [120]
V = d / t = 9.66 / 4.2 = 2.3mph
8 0
3 years ago
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