Help me answer all of those questions

Mathematics

1 answer:

Molodets [167]3 years ago

3 0

1) 100N 2) 0.3m/s² 3) 1/2 kg

Step-by-step explanation:

1) F = ma

F = 50×2

F = 100N

2) F = ma

9000 = 30000×a

(9000÷30000) = a

a = 0.3m/s²

3) F = ma

1 = m×2

(1÷2) = m

m = 1/2 kg

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$\left(\dfrac{9a^{-4}}{25}\right)^p=\dfrac3{5a^2}$
$\left(\dfrac9{25a^4}\right)^p=\dfrac3{5a^2}$

One way to find $p$ is to notice that the part on the left hand side within the parentheses can be written as a square:

$\dfrac9{25a^4}=\dfrac{3^2}{5^2(a^2)^2}=\left(\dfrac3{5a^2}\right)^2$

So you could write

$\left(\left(\dfrac3{5a^2}\right)^2\right)^p=\left(\dfrac3{5a^2}\right)^{2p}=\dfrac3{5a^2}$

Since these two expressions are equal, and the bases are the same, you know the exponents must be equal, with the exponent on the right hand side being 1. So $2p=1$ , or $p=\dfrac12$ .

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3 years ago

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Step-by-step explanation:

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1.5 or 1 1/2. I hope this helped you!