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mote1985 [20]
3 years ago
7

What is z to the -6th power

Mathematics
1 answer:
jeka943 years ago
4 0

Answer:

  • z^(-6) or  1/z^6

Step-by-step explanation:

What is z to the -6th power?

  • z^(-6) = 1/z^6
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A rectangular tank, 25 cm long and 25 cm wide is filled with water to a depth of 10 cm. When a metal cube of edge 10 cm is place
Sophie [7]

The problem involves the volume of the water of the rectangular tank, so first we must find the volume of our water. For the volume we have;

\begin{gathered} \text{Volume = Lenght x Width x Height} \\ V_{water}_{}_{}\text{ = 25 x 25 x 10} \\ V_{water}=6250cm^3 \end{gathered}

Therefore our tank has an initial volume of 6250 cm³, but if you drop a cube with a side measuring 10 cm. the volume of the water in our tank increases. Giving us the expression;

\begin{gathered} \text{Volume Combined = Volume of Water + Volume of Cube} \\ V_{comb}=V_{water}+V_{cube} \end{gathered}

Since we already have the volume of the water (which is 6250), we just need to find the volume of the cube using the same formula (<em>Volume = Lenght x Width x Height</em>);

\begin{gathered} V_{comb}=V_{water}+V_{cube} \\ V_{comb}=V_{water}+(Lenght_{cube})(Width_{cube})(Height_{cube})_{}_{}_{} \\ V_{comb}=V_{water}+10(10)(10) \\ V_{comb}=6250+1000 \\ V_{comb}=7250cm^3 \end{gathered}

Therefore our new volume when they are combined or when the cube is droped in the tank is 7250 cm³.

But we must remember since our tank would remain it's shape no matter how much water it holds it would always retain it's dimension of it's lenght and width (25x25), therefore it is possible to find the height of the new water level using this logic;

\begin{gathered} V_{comb}=(Length_{\tan k})(Width_{\tan k})(Height_{water}\text{)} \\ V_{comb}=(25)(25)(Height_{water})\text{ , with our }V_{comb}=7250 \\ 7250=625(Height_{water}) \\ \text{Height}_{water}=\frac{7250}{625} \\ \text{Height}_{water}=11.6\text{ cm} \end{gathered}

Therefore the height of the new water level is 11.6 cm.

7 0
1 year ago
Show me how to solve this, please.<br> <img src="https://tex.z-dn.net/?f=%282.7%20%2A%2010%5E%7B5%7D%20%29%20%2F%20%289%20%2A%20
Arada [10]

Answer:

3 * 10 ^-2

Step-by-step explanation:

When we divide numbers in scientific notation first divide the number portion

2.7 /9 =.3

Then divide the exponents

10 ^5 / 10 ^6 = 10 ^ (5-6) = 10 ^ -1

.3 * 10 ^-1

We cannot leave the .3 since the first number has to be between 1 and less then 10

Move the decimal 1 place to the right which means subtract 1 from the exponent

3 * 10 ^-2

5 0
3 years ago
Read 2 more answers
1. Name angle 'x' <br><br>2. calculate the size of angle 'y' <br><br>​
Burka [1]

Answer:

<h2><u><em>y = 70°</em></u></h2>

Step-by-step explanation:

x = 35° (opposite agles)

y = 180 - 35 - 75

y = 70

-----------------------

check 35 + 75 + 70 = 180°

the answer is good

7 0
3 years ago
Can someone help me ASAP!!!
Dmitry_Shevchenko [17]

Answer:

3x+y=2

Step-by-step explanation:

Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.

Hope this helps and answers your question :)

8 0
3 years ago
What is the greatest common factor of 5 and 100?
denis23 [38]
A. 5 i think is been a while 
5 0
3 years ago
Read 2 more answers
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