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kykrilka [37]
3 years ago
5

PLEASE HELP

Mathematics
1 answer:
Readme [11.4K]3 years ago
5 0

Answer:

x=5

Step-by-step explanation:

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If you know the answer to these plz answer.
kondaur [170]

Answer:


Step-by-step explanation:  

You can readily see from the diagram, above, that the side length of the middle cube will be between 3 and 4.  You want to determine to the nearest hundredth what value between 3 and 4 represents the side length of the cube whose volume is 45 units^3.

Please note:  the middle cube has been mislabeled.  Instead of volume = 30 units^3, the volume should be 45 units^3.

Here's the procedure:

Guess an appropriate s value.  Let's try s = side length = 3.5

Cube this:  (3.5 units)^3 = 42.875.  Too small.  Choose a larger possible side length, such as 3.7:  3.7^3 = 50.653.  Too large.

Try s = 3.6:  3.6^3 = 46.66.  Too large.

Choose a smaller s, one between 3.5 and 3.6:  3.55^3 = 44.73.  This is the best estimate yet for s.  Continue this work just a little further.  Try s = 3.57.  Cube it.  How close is the result to 45 cubic units?


7 0
2 years ago
Find the indefinite integral. (Use C for the constant of integration.)
mart [117]

Answer:

\int\ {(3x^2-2x+1)\,(x^3-x^2+x)^7} \, dx = \frac{1}{8} (x^3-x^2+x)^8+C

tep-by-step explanation:

In order to find the integral:

\int\ {(3x^2-2x+1)\,(x^3-x^2+x)^7} \, dx

we can do the following substitution:

Let's call

u=(x^3-x^2+x)

Then

du = (3x^2-2x+1) dx

which allows us to do convert the original integral into a much simpler one of easy solution:

\int\ {(3x^2-2x+1)\,(x^3-x^2+x)^7} \, dx  = \int\ {u^7 \, du = \frac{1}{8} \,u^8 +C

Therefore, our integral written in terms of "x" would be:

\int\ {(3x^2-2x+1)\,(x^3-x^2+x)^7} \, dx = \frac{1}{8} (x^3-x^2+x)^8+C

7 0
2 years ago
What is the slope? 18,4.5/20,5
jarptica [38.1K]

Answer:

m = 0.5 / 2 = 0.25

Step-by-step explanation:

7 0
2 years ago
after 5 years of earning at an annual rate of 4 percent, an investment has earned 1200 in interest. determine the amount of the
8_murik_8 [283]
\bf ~~~~~~ \textit{Simple Interest Earned}
\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1200\\
P=\textit{original amount deposited}\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to &5
\end{cases}
\\\\\\
1200=P(0.04)(5)\implies \cfrac{1200}{(0.04)(5)}=P\implies 6000=P
3 0
3 years ago
Jenny wants to paint the ceiling of her restaurant. the ceiling is in the shape of a square. its side lengths are 44 feet. suppo
inysia [295]
First we need to find the square footage of her ceiling, since it's a square just multiply the side by the side: 44•44=1936. Now divide the square feet by how many feet each can can paint: 1936/242=8. Jenny would need exactly 8 cans of paint to paint her ceiling :)
8 0
3 years ago
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