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crimeas [40]
3 years ago
12

Simplify the expressions below a. (y^3)^2y^4 b. (z^-3)^-2z^3

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0
When you raise a exponent to an exponent, multiply exponents.
When you multiply powers with the same base add exponents.

<span>a. (y^3)^2y^4 = y^6y^4 = y^10

</span><span>b. (z^-3)^-2z^3 = z^6z^3 = z^9</span>
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A swimming pool is to be drained. The pool is shaped like a rectangular prism with length 30 ft, width 18 ft, and depth 4 ft. Su
Licemer1 [7]

Answer:

10 hours (I am not positive)

Step-by-step explanation:

We first want to find the volume of pool which is 30 x 18 x 4 = 2160.

Then you are going to divide by 216 to find how many hours it takes to drain the whole pool. (I'm not that big of an expert)

4 0
3 years ago
Question 5: 10 pts
victus00 [196]

Answer:

6.7i + 7.4j

Step-by-step explanation:

if the angle starts from the East (direction of positive x-axis)

then the y (j) component is 10*sin(42) = 6.7

and x (i) component is 10*cos(42) = 7.4

4 0
2 years ago
Simplify:<br> -2x5. 4x^2
Karo-lina-s [1.5K]

Answer:

<em>Hey mate, here's ur answer:</em>

<em>---------------------------------------------------</em>

<em>-2x^5. 4x^2 </em>

<em>=(−2)*x5*4*x2 </em>

<em>=−8*x7 </em>

<u><em>=−8x7</em></u>

<em>--------------------------------------------------</em>

<em>Hope it helps</em>

<em>#stayhomestaysafemate</em>

<em>:D</em>

7 0
3 years ago
Callie is starting a fruit basket business the largest basket has 30 pieces of fruit but the others have 12 pieces of fruit in e
Elis [28]

Answer:

In the first basket, Callie can make 15 apples, 10 oranges and 5 bananas.


In the second basket, she can make 12 apples, 8 oranges and 4 bananas and


in the third basket, she can make 9 apples, 6 oranges and 3 bananas.

Step-by-step explanation:

The largest basket contains 30 pieces of fruit. So, it contains


1/2 of 30 = 15 apples


1/3 of 30 = 10 oranges and


1/6 of 30 = 5 bananas.


The second and third baskets should contain at least 12 pieces and at most 30 pieces (since the largest basket contains 30 pieces). Also, the number should be divided by 2, 3 and 6. So, it must be a multiple of 6.


Clearly, the number of multiples of 6 between 12 and 30 are 18 and 24.


Hence, the second basket contains 24 pieces of fruits and it contains


1/2 of 24 = 12 apples


1/3 of 24 = 8 oranges and


1/6 of 24 = 4 bananas


The third basket contains 18 pieces of fruits and it contains


1/2 of 18 = 9 apples


1/3 of 18 = 6 oranges and


1/6 of 18 = 3 bananas.


5 0
3 years ago
Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 8 percent simple interest per year. S
daser333 [38]
The average rate is (4%*2+8%)/3=16/3%=5-1/3%
Therefore the original investment was
3664/(16/300)=300*3664/16=68700, 
of which 1/3 was at 8% = 22,900
and 2/3 was at 4% = 45,800
Check:45,800*.04+22,900*.08=3664  yay!
8 0
3 years ago
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