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kipiarov [429]
3 years ago
14

Help with my homework. Please.

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

Answer:

Step-by-step explanation: since average speed = total distance/time

a)average speed of the journey from my home town to A = 10 miles/20 minutes = 0.5

b)journey from my home town to B = 20 miles/30 minutes = 0.7

c)10 miles + 20 miles = 30 miles

which takes 50 minutes

so: 30 miles/50 minutes = 0.6

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Write (8a-^3) -2/3 in simplest form
Anna71 [15]

(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

(8a^{-3})^{\frac{-2}{3}

We have to write in simplest form

<em><u>Use the following law of exponent</u></em>

(a^m)^n = a^{mn}

Using this, simplify the given expression

(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^{ -3 \times \frac{-2}{3}}\\\\Simplifying\ we\ get\\\\(8a^{-3})^{\frac{-2}{3}} = 8^{\frac{-2}{3}} \times a^2\\\\We\ know\ that\ 8 = 2^3\\\\Therefore\\\\(8a^{-3})^{\frac{-2}{3}} =2^3^{\frac{-2}{3}} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} =2^{-2} \times a^2\\\\(8a^{-3})^{\frac{-2}{3}} = \frac{a^2}{4}

Thus the given expression is simplified

8 0
3 years ago
What is the equation of a line that contains point (2, -1) and is parallel to<br> y =<br> *x+3<br> ?
prohojiy [21]

Answer:

6 degrees

Step-by-step explanation:

8 0
3 years ago
Weekly demand for milk at a small grocery store is normally distributed with a mean of 251 gallons per week and standard deviati
slavikrds [6]

Solution

Given

mean = 251

standard deviation = 33

(a)

\begin{gathered} P(Z

Hence, X = 300

7 0
1 year ago
Read 2 more answers
Which expression represents a<br> positive integer?<br> F. – 6²<br> H. (-5)<br> G. (-3)<br> 1.-23
marta [7]
F -6*-6 = 36 which is a positive interger
3 0
3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
marta [7]
<h3>Answer: C) none of the equations are identities</h3>

If you plugged theta = 0 into the first equation, then you would have

sin(45) + cos(45) = sin(0) + cos(0)

sqrt(2) = 1

which is a false equation. We don't have an identity here.

The same story happens with the second equation. Plug in theta = 0 and it becomes

cos(60) - sin(60) = cos^2(0) + tan(0)

1/2 - sqrt(3)/2 = 1 + 0

-0.37 = 1

which is false.

6 0
3 years ago
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