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VARVARA [1.3K]
2 years ago
7

Please help me with this problem Evaluate (-½·3)³

Mathematics
1 answer:
-Dominant- [34]2 years ago
3 0

Answer: -27/8

Step-by-step explanation:

\left(-\frac{1}{2}\cdot \:3\right)^3

\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}

\left(-\frac{1}{2}\cdot \:3\right)^3=-\left(\frac{1}{2}\cdot \:3\right)^3

=-\left(\frac{1}{2}\cdot \:3\right)^3

\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n

\left(\frac{1}{2}\cdot \:3\right)^3=\left(\frac{1}{2}\right)^3\cdot \:3^3

=-\left(\frac{1}{2}\right)^3\cdot \:3^3

=-\frac{1}{8}\cdot \:3^3

=-\frac{1}{8}\cdot \:27

=-\frac{27}{8}

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Given the north and east coordinates of point A (400,100), and point B (60,470), what are the distance and bearing from point A
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Well to find distance subtract A. and B. from each other this should give you (340,370). Subtracting this is the quickest way to find range.
5 0
3 years ago
Solve for x. x + 4 = -12
Zina [86]

Answer:

x=-16

Step-by-step explanation:

Subtract 4 from both sides

x+4-4=-12-4

x=-16

8 0
3 years ago
Read 2 more answers
A,B, C and D are the four corners of a rectangular plot marked out on level ground. Given that the bearing of B from A is 40 and
Elden [556K]

Answer:

given - a rectangle ABCD

AB = 40

AC. = 90

BC = ?

in triangle ABC

using Pythagoras theorem

(AB) ² + (BC) ² = (AC) ²

(40)² + (BC) ² = (90)²

(BC) ² = (90)²- (40)²

(BC) ² = 8100 - 1600

(BC) ² = 6500

BC =

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7 0
1 year ago
sandi has 2 1/3 cases of car oil in her garage. a full case contains 12 quarts. how many quarts of oil does sandi have?
timurjin [86]
Amount of oil sandi has = 2 1/3 * 12

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4 0
3 years ago
SOMEONE PLEASE HELP ME 3/4(x+4)=1/4(x+8)
Troyanec [42]

Answer:

x=-2

Step-by-step explanation:

To solve this equation, we can use PEMDAS or Order of Operations.

Parenthesis

Exponents

Multiplication>Division

Addition>Subtraction

Using the various properties can also help make the equation easier.

First, solve for parenthesis using the distributive property.

Our equation is now : 3/4x+3=1/4x+2

Now, subtract 2 on both sides, to cancel out the positive 2 on the right.

3/4x+1=1/4x

Now subtract 3/4x from both sides.

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Finally, to isolate x, divide both sides by -2/4

1/-2/4=-2

x=-2

Hope this helps!

5 0
2 years ago
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