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4 years ago

How do you solve (-4x^2)^3

Mathematics

2 answers:

sukhopar [10]4 years ago

6 0

Answer:

$-64x^6$

Step-by-step explanation:

Because the problem is not an equation (i.e., it has no equals sign), there is nothing to solve. However, the expression can be simplified:

$(-4x^2)^3 = (-4)^3 \times (x^2)^3 = -64 \cdot x^6 = -64x^6$

Mazyrski [523]4 years ago

6 0

Solution: -64x^6

First use exponent rules: (-4)^3 • (x^2)^3

evaluate the powers: -64 • (x^2)^3

Result -64x^6

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The figure shows the construction steps to bisect an angle. The steps are in an incorrect order. What is the correct order of th

klemol [59]

Answer:

The correct order of the steps is CEABD ⇒ B

Step-by-step explanation:

Let us arrange the figures

To construct a bisector of an angle

First: Draw angle AOB

First step is figure C

Second: Place the pin of the compass on point O and draw an arc intersects the two sides of the angle OA and OB at points D and E

Second step is figure E

Third: Place the compass on point D and draw an arc in the interior of the angle

Third step is figure A

Fourth: without change the open of the compass place its pin on point E and draw an arc which intersects the arc drawn from point D at point C

Fourth step is figure B

Fifth: Draw a line from point A to point C, this line AC is the bisector of angle AOB

Fifth step is figure D

The correct order of the steps is CEABD

6 0

4 years ago

In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people

Aleksandr [31]

Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d) 1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

First identify the digit to be rounded.
If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

a) to the nearest thousand.

Thousands place: 0

Right Digit: 1

We round down the number

Rounded to the nearest 1,000 or t he thousands Place = 1,360,760,000

b) to the nearest million

Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

c) to nearest hundred million

Hundred million place: 3

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

d) to the nearest hundred thousand.

hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

7 0

3 years ago

Read 2 more answers

Value of p,q and r if (2^p)*(3^q)*(7^r)=1176

koban [17]

Answer:

p=3 , q=1 , r=2

Step-by-step explanation:

1176=2*2*2*3*7*7

1176=(2^3)*(3^1)*(7^2)

given that 1176 = (2^p)*(3^q)*(7^r)

Comparing Equation 1 & 2

we get p=3 , q=1, r=2

5 0

3 years ago

What’s the angle inside the circle?

oee [108]

The answer is c 109 degrees

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3 years ago

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A basketball player has made 70% of his foul shots during the season. If he shoots 3 foul shots in tonight's game, what is the

yulyashka [42]

Answer:

There is a 34.3% probability that he makes all of the shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$