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Serjik [45]
3 years ago
6

What is the maximum volume of water a hamster bath could hold with a depth of 1 2/3 inches, a length of 2 1/3 inches, and width

of 2 inches
Mathematics
1 answer:
Advocard [28]3 years ago
5 0

Answer:

Step-by-step explanation:

depth = 1⅔ = 5/3 in

length = 2⅓ = 7/3 in

width = 2 in

volume = (5/3)(7/3)(2) = 70/9 = 6 7/9 in³

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Simplify 4(2x^3y^4)^4/2(2x^2y^6)^3. Show your work. Please help ASAP!!
vovikov84 [41]

Answer:

The simplified expression to the given expression is \frac{4x^6}{y^2}

Therefore \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}=\frac{4x^6}{y^2}

Step-by-step explanation:

Given fractional expression is \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}

To simplify the given expression as below :

\frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}

=\frac{2(2x^3y^4)^4}{(2x^2y^6)^3}

=\frac{2[(2)^4(x^3)^4(y^4)^4]}{(2)^3(x^2)^3(y^6)^3}  ( using the property (a^m)^n=a^{mn})

=\frac{2[(2)^4(x^{12})(y^{16})]}{(2)^3(x^6)(y^{18})}

=2[(2)^4(x^{12})(y^{16})](2)^{-3}(x^{-6})(y^{-18})  (  ( using the property a^m=\frac{1}{a^{-m}} )

=2[2^{4-3}x^{12-6}y^{16-18}]( using the property a^m.a^n=a^{m+n} )

=2[2^1x^6y^{-2}]

=\frac{4x^6}{y^2} ( using the property a^m=\frac{1}{a^{-m}} )

Therefore the simplified expression is \frac{4x^6}{y^2}

Therefore \frac{4(2x^3y^4)^4}{2(2x^2y^6)^3}=\frac{4x^6}{y^2}

5 0
3 years ago
S(3x – 7) + 5x = 8x + 1<br><br>x=​
sergiy2304 [10]

Answer:  -7s=1

Step-by-step explanation: Hope this helps

btw can i have brainliest?

5 0
2 years ago
Please help if you are an expert or ace or whatever in math I need answers to these questions please!
DiKsa [7]
6t=273.3
t=273/6
t=$45.5


5 0
3 years ago
What does the relationship between the mean and median reveal about the shape of the data? The mean is less than the median, so
IgorC [24]

Answer:

The mean is equal to the median, so the data is symmetrical

Step-by-step explanation:

Here is the data.

10 5 8 10 12 6

8 10 15 6 12 18

The given data:   10   5   8   10   12   6   8   10   15   6   12   18

For finding the Mean, we will have to add all numbers together and divide it by total number. i.e sum of terms divided by number of terms  

Mean= 10+5+8+10+12+6+8+10+15+6+12+18  ÷ 12

Mean = 120 ÷ 12 = 10        

For finding the Median, first we need to rearrange the data in ascending order

5   6   6   8   8   10   10   10   12   12   15   18

We can see that the middle values are 10 and 10. So, the median will be the average of those two middle values.

Median = 10+10 ÷ 2

Median = 20 ÷ 2 = 10

From the calculation, we can see that both the median and mean are equal so, the data is symmetrical  

5 0
3 years ago
Read 2 more answers
Question 2) The measures of the angles of a triangle
Nana76 [90]

Answer:

15 18 21 are the answer hope it's useful

5 0
2 years ago
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