4 years ago

Simplify the expression (x^2y^4/x^-3y^7)^-2

Mathematics

1 answer:

PtichkaEL [24]4 years ago

5 0

(x^2y^4/x^-3y^7)^-2 simplifies to 1/(x^(5)y^(11))^2

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In 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

Triss [41]

Answer:

$3,358\ people$

Step-by-step explanation:

The formula to calculate the exponential growth function is equal to

$f(x)=P(e)^{rx}$

where

f(x) is the population

P is the population in the year 2000

r is the rate in decimal

x is number of years since 2000

e is the mathematical constant number

we have

$x=2020-2000=20\ years\\ P=2,400\\ r=0.0168$

substitute in the formula above

$f(x)=2,400(e)^{0.0168*20}$

$f(x)=3,358\ people$

3 0

3 years ago

Which expression is equivalent to 16+8 pls and thank you!!\ 4(4+4) 4(4+8) 2(14+4) 2(8+4)

Ilya [14]

Answer:

2(8+4)

Step-by-step explanation:

We have 4 expressions here:

4(4+4):

Since 4*4=16

4(4+4)=16+16

4(4+8):

Since 4*4=16 and 4*8=32

4(4+8)=16+32

2(14+4):

Since 2*14=28 and 2*4=8

2(14+4)=28+8

2(8+4):

Since 2*8=16 and 2*4=8

2(8+4)=16+8

The answer is 2(8+4)!

Hope this helps!

7 0

3 years ago

Solve: + 12x = 9 Ox=3/5 :: 6 O x= 6 745 O=-6+ 745 O *=-6_315

Alex_Xolod [135]

Answer:

$x = \frac{3}{4}$

Step-by-step explanation:

$12x = 9$

Divide both sides by 12:

$\frac{12x}{12} = \frac{9}{12}$

Simplify the fraction:

$x = \frac{9}{12}$

Find the greatest common factor of the numerator and denominator:

$x = \frac{3.3}{4.3}$

Factor out and cancel the greatest common factor:

$x = \frac{3}{4}$

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3 years ago

Rotation 180° counterclockwise around the origin of the point (4, -1)

Colt1911 [192]

(-4,1) is the answer

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3 years ago

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The equation cosx+sinx= √3+1/2 is an identity. true or false

Mama L [17]

False - Correct on apex!!!

6 0

3 years ago

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