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3 years ago

Solve the problem 8 - 2 9/14=

Mathematics

1 answer:

love history [14]3 years ago

8 0

Improper Fraction =75/14
Mixed Number=5 5/14

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Which expression is equivalent to (3a)–2?

Travka [436]

Answer:

Its (A), 1/9a^2

if you work out all of the other options it does not equal to the expression (3a)^-2

Step-by-step explanation:

7 0

3 years ago

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the

gladu [14]

Answer:

Part 1) Australia $19,751,012\ people$

Part 2) China $1,319,645,764\ people$

Part 3) Mexico $109,712,539\ people$

Part 4) Zaire $60,534,681\ people$

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

$P(t)=a(1+r)^t$

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

$a=19,169,000\\r=0.6\%=0.6\100=0.006$

substitute

$P(t)=19,169,000(1+0.006)^t$

$P(t)=19,169,000(1.006)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=19,169,000(1.006)^5=19,751,012\ people$

Part 2) China

we have

$a=1,261,832,000\\r=0.9\%=0.9\100=0.009$

substitute

$P(t)=1,261,832,000(1+0.009)^t$

$P(t)=1,261,832,000(1.009)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people$

Part 3) Mexico

we have

$a=100,350,000\\r=1.8\%=1.8\100=0.018$

substitute

$P(t)=100,350,000(1+0.018)^t$

$P(t)=100,350,000(1.018)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=100,350,000(1.018)^5=109,712,539\ people$

Part 4) Zaire

we have

$a=51,965,000\\r=3.1\%=3.1\100=0.031$

substitute

$P(t)=51,965,000(1+0.031)^t$

$P(t)=51,965,000(1.031)^t$

Find the expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

$P(5)=51,965,000(1.031)^5=60,534,681\ people$

8 0

3 years ago

What is the inverse of the function f(x) = 3x – 2?<br> f-1(x) =

Eddi Din [679]

Answer:

$\frac{x + 2}{3}$

Step-by-step explanation:

Replace y with f(x).

$y = 3x - 2$

Swap x and y and solve for y

$x = 3y - 2$

$x + 2 = 3y$

$\frac{x + 2}{3} = y$

7 0

3 years ago

HELP PLS!!!

kotykmax [81]

Answer:

B. $\frac{60 hours}{1} \times \frac{1 day}{24 hours}$

Step-by-step explanation:

Converting 60 hours to days:

24 hours = 1 day

60 hours = x day

Cross multiply

$24 hours \times x = 60 hours \times 1 day$

Divide both sides by 24 hours

$x = \frac{60 hours \times 1 day}{24 hours}$

Thus,

$\frac{60 hours \times 1 day}{24 hours} = \frac{60 hours}{1} \times \frac{1 day}{24 hours}$

The expression that shows how to convert 60 hours to days is:

$\frac{60 hours}{1} \times \frac{1 day}{24 hours}$

5 0

3 years ago

Expand the exppresion -7(k-3)

Lana71 [14]

Answer:

-7k+21

Step-by-step explanation:

8 0

3 years ago

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