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konstantin123 [22]
3 years ago
9

100 PTS!!

Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

1.

h=-16t^2+vt+c\qquad\text{original equation}\\\\h+16t^2-c=vt\qquad\text{subtract terms not containing v}\\\\v=\dfrac{h+16t^2-c}{t}\qquad\text{divide by the coefficient of v}

2. Filling in the given numbers, we have ...

v=\dfrac{131+16(3)^2-5}{3}=90\qquad\text{ft/s}

3. The velocity is undefined when t=0. The equation is telling you it would take infinite velocity to travel some distance in zero time. The equation is meaningless in such a situation.

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Find all solutions in the interval from [0,2pi)<br> 2cos(3x)= -sqrt{2}
algol [13]

Solutions of 2cos(3x)= -\sqrt{2} in the interval from [0,2pi) is x =\frac{\pi}{12}  and x = \frac{23\pi}{12} .

<u>Step-by-step explanation:</u>

Find all solutions in the interval from [0,2pi)

2cos(3x)= -\sqrt{2}

⇒ 2cos(3x)= -\sqrt{2}

⇒ \frac{2cos(3x)}{2}= \frac{-\sqrt{2}}{2}

⇒ cos3x= \frac{-\sqrt{2}(\sqrt{2})}{2{\sqrt{2}}}

⇒ cos3x= \frac{-2}{2{\sqrt{2}}}

⇒ cos3x= \frac{-1}{{\sqrt{2}}}

⇒ cos^{-1}(cos3x)= cos^{-1}(\frac{-1}{{\sqrt{2}}})

⇒ 3x=\pm \frac{\pi}{4}

⇒ x=\pm \frac{\pi}{12}

Cosine General solution is :

x = \pm cos^{-1}(y)+ 2k\pi

⇒ x = \pm \frac{\pi}{12}+ 2k\pi , k is any integer .

At k=0,

⇒ x =\frac{\pi}{12} ,

At k=1,

⇒ x = - \frac{\pi}{12}+ 2\pi

⇒ x = \frac{23\pi}{12}

Therefore , Solutions of 2cos(3x)= -\sqrt{2} in the interval from [0,2pi) is x =\frac{\pi}{12}  and x = \frac{23\pi}{12} .

5 0
3 years ago
100 divided by 13.5 plus 24
Stella [2.4K]
100/13.5 + 24 = 31.41 approximitely
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3 years ago
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he graph shows f(x) = [1/2]^x and its translation, g(x). Which describes the translation of f(x) to g(x)? translation of four un
Annette [7]

Answer by YourHope:


Hi! :)


The graph shows f(x) = [1/2]^x and its translation, g(x). Which describes the translation of f(x) to g(x)?


Translation of four units up! The f(x) function cannot possibly be f(x)=1/2, though, because that would be a horizontal line through y = 1/2 and that function is clearly not a horizontal line.  So whatever f(x) is really, add 4 to the tail end of it to show its translation!


:)

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4 years ago
A bottle of 2 1/4 of water how many glasses of volume 3/16 litres can it fit​
Dima020 [189]

Step-by-step explanation:

7/2 yan po hwhehehehe want again

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Calculate the area of a circle with a radius of 2cm
Musya8 [376]

A=3.14r^2

1. 2^2= 4

2. 3.14 x 4 =12.56 as your answer

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