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Mathematics

1 answer:

Ivan3 years ago

8 0

75 is the answer to this equation

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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

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Plz help me NOW and I will mark you brainliest

Readme [11.4K]

Answer:

Translate from words to mathematical equation.

"n is m% of what?"

m% = m/100

what = a variable ... "x". for example.

"is" means "="

"of" means multiply

n = (m/100)•x

5 0

2 years ago

How do you solve 13+4x=1-x

mel-nik [20]

13+4x=1-x
4x=-12-x (minus 13 from each side)
5x=-12 (add x to each side)
You divide -12 by 5x
-12÷5x=2 $\frac{2}{5}$ ⇒2.4
x=2.4

6 0

3 years ago

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Answer two questions about Equations AAA and BBB:

andrew-mc [135]

Answer:

answer is d

Step-by-step explanation:

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3 years ago

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Please answer this question hahahahh

KengaRu [80]

The 5 in the hundredths place represents 5/100, whereas the 5 in the tens place represents 50, Figure out how 5/100 and 50 are related to each other: (5/100)x = 50. Mult. both sides by 100, we get 5x = 5000. Thus, the 5 in the tens place is 1000 times the 5 in the hundreths place.

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3 years ago