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2 years ago

A formula used for calculating velocity is v= 1/2 at^2. what is a expressed in terms of v and t

Mathematics

1 answer:

cricket20 [7]2 years ago

6 0

Answer:

a = (2v) / ( t^2)

Step-by-step explanation:

v = 1/2 at^2

Multiply by 2

2v = 2 * 1/2 at^2

2v = a t^2

Divide each side by t^2

2v / t^2 = a t^2 / t^2

2v / t^2 = a

a = (2v) / ( t^2)

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2 years ago

Simplify the following surd expressions<br> a) 7/3 - 2/3 + V3 - 3V3

Nata [24]

Answer:

$\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}$

Step-by-step explanation:

Given the expression

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3$

solving the expression

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}$

combine the fractions i.e $\frac{7}{3}-\frac{2}{3}=\frac{5}{3}$

$\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}$

add similar elements i.e $\sqrt{3}-3\sqrt{3}=-2\sqrt{3}$

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Thus,

$\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}$

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2 years ago

You have an SRS of size 8 and calculate the one-sample t statistic. What is the critical value t∗ such that (a) t has probabilit

Rudik [331]

Answer:

a) "=T.INV(1-0.02,7)"

And we got $t_{crit}= 2.518$

b) "=T.INV(0.85,7)"

And we got $t_{crit}= 1.119$

Step-by-step explanation:

For this case we have a sample size of n=8, so we can find the degrees of freedom like this:

$df = n-1 = 8-1 =7$

Part a

For this case we need a value who accumulates 0.02 of the area in the right of the t distribution with 7 degrees of freedom so we can use the following excel code:

"=T.INV(1-0.02,7)"

And we got $t_{crit}= 2.518$

Part b

For this case we need a value who accumulates 0.85 of the area in the left of the t distribution with 7 degrees of freedom so we can use the following excel code:

"=T.INV(0.85,7)"

And we got $t_{crit}= 1.119$

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2 years ago