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Katena32 [7]
4 years ago
14

What is the cube root of -1,000p12q3

Mathematics
2 answers:
lapo4ka [179]4 years ago
8 0

Answer:

-10p4q

Step-by-step explanation:

stira [4]4 years ago
7 0
\bf \sqrt[3]{-1000p^{12}q^3}\qquad 
\begin{cases}
-1000= -10\cdot -10\cdot -10\\
\qquad\qquad  (-10)^3\\
p^{12}=p^{4\cdot 3}\\
\qquad (p^4)^3
\end{cases}\implies \sqrt[3]{(-10)^3(p^4)^3q^3}
\\\\\\
-10p^4q
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A ball has a volume of 4 cubic inches (in3). Use the fact that 1 inch is equal to 2.54 cm to convert this volume to cubic centim
Marina86 [1]

Answer:

V = 65.548 cm³

Step-by-step explanation:

We have,

Volume of a ball is 4 cubic inches or 4\ \text{inch}^3.

We know that, 1 inch = 2.54 cm

It is required to convert this volume to cubic centimetre or \text{cm}^3.

4\ \text{inch}^3=4\ \text{inch}^3\times (\dfrac{2.54\ \text{cm}}{1\ \text{inch}})^3\\\\V=65.548\ \text{cm}^3

So, the volume of the ball is 65.548 cm³.

7 0
4 years ago
4. The red graph (1) is the graph of f(x) = log(x). Describe the transformation of the blue function (2) and write the equation
sergey [27]

Answer:

Function f(x) is shifted 1 unit left and 1 unit up.

f(x)\rightarrow f(x+1)+1

Transformed function f(x+1)+1=\log(x+1)+1

Step-by-step explanation:

Given:

Red graph (Parent function):

f(x)=\log(x)

Blue graph (Transformed function)

From the graph we can see that the red graph is shifted 1 units left and 1 units up.

Translation Rules:

f(x)\rightarrow f(x+c)

If c>0 the function shifts c units to the left.

If c the function shifts c units to the right.

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying the rules to f(x)

The transformation statement is thus given by:

f(x)\rightarrow f(x+1)+1

As function f(x) is shifted 1 unit left and 1 unit up.

Transformed function is given by:

f(x+1)+1=\log(x+1)+1

5 0
3 years ago
What's happening to this graph when the X values are between 4 and 8?
Korolek [52]
Hello!

On the graph, when the X values are between 4 and 8, they are being constant. The X values between 4 and 8 are constant because the line shown between 4 and 8 on the graph show the line as a straight line. It is not going up nor is it going down, so you can conclude that the X values are not increasing or decreasing.

I hope this helps!
5 0
4 years ago
Read 2 more answers
Select the statement that can be represented by −10 dollars.
antiseptic1488 [7]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Find the volume of a cone with radius 28 and height 44.
Brut [27]
The volume formula for a cone is V = 1/3 pi r^2 h.  We have everything we need to find the volume. V = 1/3 pi 28^2* 44.  Doing that math and leaving it in terms of pi you have that the volume is 11,498.67 pi units cubed.  If you multiply pi in, the answer would be 36,123.06 units cubed.
4 0
3 years ago
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