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Natasha2012 [34]
3 years ago
7

Simplify (3a^3 b^3)(4ab^2)^2

Mathematics
1 answer:
mamaluj [8]3 years ago
7 0
\bf (3a^3b^3)(4ab^2)^2\implies (3a^3b^3)(4^2a^2b^{2\cdot 2})\implies (3a^3b^3)(4^2a^2b^4)
\\\\\\
3a^3b^34^2a^2b^4\implies 3\cdot 4^2a^3a^2b^3b^4\implies 3\cdot  16a^{3+2}b^{3+4}\implies 48a^5b^7
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Factor finder for 42
EastWind [94]

Answer:

-42, -21, -14, -7, -6, -3, -2, -1, 1, 2, 3, 6, 7, 14, 21, & 42

Step-by-step explanation:

5 0
3 years ago
Suppose that circles R and S have a central angle measuring 80°. Additionally, the measure of the sector for circle R is
riadik2000 [5.3K]
The correct answer is B) 9 m.

The measure of the sector of circle R is 32π/9 m.  The measure of the central angle is 80°.  This means that the sector is 80/360 = 2/9 of the circle.  The area of a circle is given by A=πr², so the area of the sector is A=2/9πr².  To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.

Using this same formula for circle S, we will work backward to find the radius:

18π = 2/9πr²

Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²

Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²

Take the square root of both sides:
√81 = √r² 
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6 0
4 years ago
Read 2 more answers
What is the measure of angle 4?<br> angles 1,3,5,6,7, and 8 are 73 degrees. angles 2 is 107 degrees
uranmaximum [27]

Answer:

34 Deg

Step-by-step explanation:

Since the Triangle is isoceles, each of the internal base angle = 180-107=73

Sum of internal angles =180,  Angle4= 180-(73+73)= 180-146=34

3 0
3 years ago
9. Antonio loves to go to the movies. He goes both at night and during the day. The cost of a daytime movie(x) is $6.00. The
kkurt [141]
87.00 in simplest form
7 0
3 years ago
Sales of 10000 increased by 65% each year write a function that represents the situation
erastovalidia [21]

Answer: y=10000(1.65)^x


Step-by-step explanation:

Given: The sales of 10000 increased by 65% each year .

Let x be the number of years.

The rate of growth=65%= 0.65

The exponential growth function is given by

y=A(1+r)^x

, where A is initial amount and r is the rate of growth in decimal.

Then the increase in the sales id given by :-

y=10000(1+0.65)^x\\\Rightarrow\ y=10000(1.65)^x

6 0
3 years ago
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