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3 years ago

Evaluate the expression. Simplify your answer. (-1/6)3

Mathematics

2 answers:

Eva8 [605]3 years ago

7 0

Answer:

-1/216

Step-by-step explanation:

You have to look at the base and if the base is negative then you have to look at the exponent and if its a odd number then it will be a negative.

erastova [34]3 years ago

5 0

Answer:

-1/216

Step-by-step explanation:

(-1/6)³ = (-1)³/6³ = -1/216

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The sum of 45% of a number and 55% of the same number is 200. what is the number?

Ymorist [56]

.45x+.55x=200
Combine like terms
1x=200
So x is 100

Or you can do 45%+55%=100%
And 100% of 200 is 200

8 0

3 years ago

The graph of a linear function is shown on the grid.

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Rate of change = (2-3.6)/(5-(-3)) = -1.6/8 = 0.2

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3 years ago

(23q – 34) and (–16q – r)

pochemuha

Answer:

=−368q2−23qr+544q+34r

Step-by-step explanation:

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3 years ago

Find the length of the third side. If necessary, write in simplest radical form.

Mazyrski [523]

Answer:

$\boxed {\boxed {\sf 8}}$

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

Where a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

$a= 7 \\b= \sqrt{15}$

Substitute these values into the formula.

$(7)^2+(\sqrt{15})^2=c^2$

Solve the exponents.

(7)²= 7*7=49

$49+ (\sqrt{15})^2=c^2$

(√15)²=√15*√15=15

$49+15=c^2$

Add.

$64=c^2$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c$

The third side length is 8.

6 0

3 years ago

Read 2 more answers

The number of customers waiting for gift-wrap service at a department store is an rv X with possible values 0, 1, 2, 3, 4 and co

julia-pushkina [17]

Answer:

P[X=3,Y=3] = 0.0416

Step-by-step explanation:

Solution:

- X is the RV denoting the no. of customers in line.

- Y is the sum of Customers C.

- Where no. of Customers C's to be summed is equal to the X value.

- Since both events are independent we have:

P[X=3,Y=3] = P[X=3]*P[Y=3/X=3]

P[X=3].P[Y=3/X=3] = P[X=3]*P[C1+C2+C3=3/X=3]

P[X=3]*P[C1+C2+C3=3/X=3] = P[X=3]*P[C1=1,C2=1,C3=1]

P[X=3]*P[C1=1,C2=1,C3=1] = P[X=3]*(P[C=1]^3)

- Thus, we have:

P[X=3,Y=3] = P[X=3]*(P[C=1]^3) = 0.25*(0.55)^3

P[X=3,Y=3] = 0.0416

6 0

3 years ago