All categories

3 years ago

Find all the real cube roots of -0.000125

Mathematics

2 answers:

Annette [7]3 years ago

4 0

Answer:

The correct option is c.

Step-by-step explanation:

We have to find the cube roots of -0.000125.

It can be written as

$\sqrt[3]{-0.000125}$

$\sqrt[3]{-0.000125}=-\sqrt[3]{0.000125}$

$\sqrt[3]{-0.000125}=-\sqrt[3]{0.05\times 0.05\times 0.05}$

$\sqrt[3]{-0.000125}=-\sqrt[3]{(0.05)^3}$

$\sqrt[3]{-0.000125}=-0.05$

Therefore option c is correct.

Shtirlitz [24]3 years ago

4 0

Answer:

$\sqrt[3]{-0.000125}=-0.05$

Step-by-step explanation:

We are given

$\sqrt[3]{-0.000125}$

Firstly, we will find factors of -0.000125

we can write as

$-0.000125=(-0.05)\times (-0.05)\times (-0.05)$

$-0.000125=(-0.05)^3$

now, we can replace it

$\sqrt[3]{-0.000125}=\sqrt[3]{(-0.05)^3}$

now, we can simplify it

and we get

$\sqrt[3]{-0.000125}=-0.05$

So,

answer is

c. -0.05

You might be interested in

What is 26.895 rounded to (2dp decimal points)

8090 [49]

26.90 is the answer. hope this helps!

5 0

4 years ago

Read 2 more answers

Factorize the given expression: 27x3 - 63x2 + 49x – 343 27

stealth61 [152]

49x−9306 I’m not sure

4 0

2 years ago

Cody made deposits of $45, $18, and $27 into his checking account. He then wrote checks for $21 and $93. Write an expression to

zysi [14]

C = 45 + 18 + 27 - 21 - 93 C = -24 Let's use the variable C to represent the change in the balance in Cody's checking account. The easiest way to make the expression is to simply apply the additions and subtractions directly. So let's start with C C "Cody made deposits of $45, $18, and $27 into his checking account." C = 45 + 18 + 27 "He then wrote checks for $21 and $93." C = 45 + 18 + 27 - 21 - 93 So the expression to represent the change to Cody's checking account is C = 45 + 18 + 27 - 21 - 93 Now to simplify it. All you need to do is combine terms together. How far you go is up to you. So let's do it. C = 45 + 18 + 27 - 21 - 93 I'll add together all the deposits. C = (45 + 18 + 27) - 21 - 93 C = 90 - 21 - 93 And I'll combine the checks. C = 90 - 114 So now you can tell at a glance that Cody deposited $90 and wrote checks for $114. But we can make it simpler and combine those as well. So C = -24 And this tells you that Cody's checking account balance is now $24 lower than it was before he started making deposits and writing checks.

5 0

3 years ago

solve |5x - 1| < 1 a. {x|0 < x < 2/5} b. {x|x < 0 or x > 2/5} c. {x|-2/5 < x < 2/5}

aliina [53]

|5x - 1| < 1
-1 < 5x - 1 < 1
-1 + 1 < 5x < 1 + 1
0 < 5x < 2
0/5 < x < 2/5
0 < x < 2/5

8 0

3 years ago

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$