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marusya05 [52]
4 years ago
7

Simplify a⁵ × (a³)²​

Mathematics
1 answer:
FrozenT [24]4 years ago
3 0

Answer:

a^{11}

Step-by-step explanation:

In solving for a⁵ × (a³)², we need to follow the rules of PEMDAS

Therefore, your equation would look like this:

a⁵ × (a³)² = a⁵ × a^{6\\

When two variables are the same, we add their exponents when multiplying and we would subtract them if we divided.

With that information, your final answer would be

a^{11} as 5+6 = 11

Hope this Helps!

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Enter the correct answer in the box.
andrezito [222]

Ans $0.15 cents per ounce wer:

7 0
3 years ago
A fence must be built to enclose a rectangular area of 45 comma 000 ftsquared. Fencing material costs $ 3 per foot for the two s
Tatiana [17]

Answer:

150 feet by 300 feet.

Step-by-step explanation:

The fence is to enclose a rectangular area of 45,000 ft squared.

If the dimensions of the rectangle are x and y

Area of a rectangle = xy

  • xy=45000
  • x=\frac{45000}{y}

Perimeter of the Rectangle =2x+2y

Fencing material costs $ 3 per foot for the two sides facing north and south and ​$6 per foot for the other two sides.

  • Cost of Fencing, C=$(6*2x+3*2y)=$(12x+6y)

Substitute x=\frac{45000}{y} into the Cost to get C(y)

C=12x+6y

C(y)=12(\frac{45000}{y})+6y\\C(y)=\frac{540000+6y^2}{y}

The value at which the cost is least expensive is at the minimum point of C(y), when the derivative is zero.

C^{'}(y)=\dfrac{6y^2-540000}{y^2}

\dfrac{6y^2-540000}{y^2}=0\\6y^2-540000=0\\6y^2=540000\\y^2=\frac{540000}{6} =90000\\y=\sqrt{90000}=300

Recall,

x=\frac{45000}{y}=\frac{45000}{300}=150

Since x=150, y=300

The dimensions that will be least expensive to build is 150 feet by 300 feet.

6 0
3 years ago
If 2/3=x/12 , what is the value of x?
Andru [333]
2/3=x/12
Use cross multiply
2*12=3*x
24=3x
Divided both side by 3
24/3=3x/3
x=8
Check:
2/3=x/12
Substitute x with 8
2/3=8/12
2/3=(8/4)/(12/4)
2/3=2/3. As a result, x=8. Hope it help!
8 0
3 years ago
Read 2 more answers
35 hundreds = 5 tens times 7 tens is it true or false
Strike441 [17]
True
if you add an imaginary 0 to the numbers since its in the tenths place you would get 3,500
5(0) x 7(0) = 3,500
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3 years ago
Find (x^3+8x^2-25x-193) divide by (x-5) using synthetic division.
MrMuchimi

Answer:

hope it helps

plz mark brainliest✌️✌️

5 0
3 years ago
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