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3 years ago

Alex Rode her skateboard her velocity changed from 3m/s to 1m/s in 4 seconds. What was her acceleration?

1 answer:

7 0

You can use the acceleration formula:

$a = \frac{\Delta v}{\Delta t}$
$a = \frac{1 - 3 }{4 - 0}$
$a = \frac{-2 }{4}$
$a = -\frac{1 }{2} = -0.5$

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How do I go about solving (27x^3/8y^9)^5/3? And what is the role of the numerator and denominator?

MrRissso [65]

$\left( \frac{27x^3}{8y^9}\right)^ \frac{5}{3} \\\\\\ =\left( \frac{(3x)^3}{(2y^3)^3}\right)^ \frac{5}{3} \\\\\\ = \frac{(3x)^{3 \times \frac{5}{3} }}{(2y^3)^{3 \times \frac{5}{3} }} \\\\\\ =\frac{(3x)^5}{(2y^3)^{5 }} \\\\\\ =\frac{243x^5}{32y^{15}}$

Now, If the exponent was negative like you asked....

$\left( \frac{27x^3}{8y^9}\right)^ {-\frac{5}{3}} \\\\\\ =\left( \frac{8y^9}{27x^3}\right)^ {\frac{5}{3}}\\\\\\ =\left( \frac{(2y^3)^3}{(3x)^3}\right)^ \frac{5}{3} \\\\\\ = \frac{(2y^3)^{3 \times \frac{5}{3} }}{(3x)^{3 \times \frac{5}{3} }} \\\\\\ =\frac{(2y^3)^{5 }}{(3x)^5} \\\\\\ =\frac{32y^{15}}{243x^5}$

5 0

3 years ago

~Factorise~ : x³ + 4x<br>with the steps

GrogVix [38]

Answer:

x (x^2+4)

Step-by-step explanation:

See the steps below:)

6 0

3 years ago

A space probe traveled 524,000,000 miles, at an average speed of 32,000 miles per hour. How many hours did the space probes jour

Svet_ta [14]

Answer:

Step-by-step explanation:

5.24×10⁸ miles × (1 hour)/(3.2×10⁴ miles) = 1.6375×10⁴ hours = 16,375 hours

3 0

3 years ago

the cost of a school banquet is $95 plus $15 for each person attending. write an equation that gives total cost as a function of

AleksandrR [38]

Im sorry if I misunderstood the problem but heres my take.

Answer:

1155 for the cost of the people and 1250 for the total including the $95

Step-by-step explanation:

Multiply it ( 77 x 15 )

then add the answer to the $95 ( 95 + N )

= $N

8 0

3 years ago

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) 8?

Hunter-Best [27]

Step-by-step explanation:

It's answer is x_> -27 by using inequality rule

6 0

2 years ago