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3 years ago

Simplify (-2)^-3 a. -8 b. -1/8 c. 1/8 d. 8

Mathematics

2 answers:

Bumek [7]3 years ago

8 0

Answer:

B.) -1/8

Step-by-step explanation:

You flip the problem because of the negative exponent

$\frac{1}{-2^3}$

This makes the exponent positive

Expand the denominator

(-2) * (-2) * (-2) = 4*(-2) = -8

1/-8 = -1/8

dusya [7]3 years ago

7 0

Answer:

Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8

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Consider a single spin of the spinner. Which events are mutually exclusive? Choose all that apply. a)landing on a shaded sector

denis23 [38]

Answer: the correct options are b and d.

Step-by-step explanation:

Let us first define what mutually exclusive events are. If two events are mutually exclusive, it means that they cannot happen at the same time. For example, getting a head and a tail at the same time are mutually exclusive.

Considering a single spin of the spinner, the events that are mutually exclusive are

b)landing on a shaded sector and landing on a 3. This is because 3 is unshaded. You can either land on 3 or an unshaded sector at a time

d)landing on an unshaded sector and landing on a number less than 2. This is because the numbers in the unshaded sectors are greater than 2.

3 0

3 years ago

Adding negative numbers<br> 5+ (-4) =

anygoal [31]

Answer:

Step-by-step explanation:

Follow the signs rule:

IF:

There is a + sign, and the number directly next is +, add

There is a + sign, and the number directly next is -, subtract

There is a - sign, and the number directly next is +, subtract

There is a - sign, and the number directly next is -, add

In this case, there is a plus sign, and a negative sign, therefore, subtract:

5 + (-4) = 5 - 4 = 1

1 is your answer.

5 0

3 years ago

Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490π. What is the percentage change in

sergejj [24]

Answer:

50% decrease

Step-by-step explanation:

I took the test

4 0

2 years ago

Read 2 more answers

Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.

Galina-37 [17]

Question:

Prove that:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Answer:

Proved

Step-by-step explanation:

Given

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Required

Prove

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$

Subtract tan(10) from both sides

$- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

$tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)$

Factorize the right hand size

$tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)$

Rewrite as:

$tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))$

Divide both sides by $1-tan(70). tan(100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$

In trigonometry:

$tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}$

So:

$\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)}$ can be expressed as: $tan(70 + 100)$

$\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)$ gives

$tan(70 + 100) = -tan(10)$

$tan(170) = -tan(10)$

In trigonometry:

$tan(180 - \theta) = -tan(\theta)$

So:

$tan(180 - 10) = -tan(10)$

Because RHS = LHS

Then:

$tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)$ has been proven

6 0

3 years ago

Plz help need to graduate

lutik1710 [3]

It's most likely the first or 3rd answer. Apologies If I'm wrong.

3 0

3 years ago