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RUDIKE [14]
3 years ago
11

Can i get help please

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

120x^3

Step-by-step explanation:

exponent rule --> a^b x a^c = a^b+^c

10^-6 x 10^7 = 10^6 + ^7

add / subtract numbers -- > -6 + 7 = 1

=2XX x 6X x 10

aponent rule --> a^b x a^c = a^b+^c

xxx = x^1 + ^1 + ^1

= 2 x 6x^1 + ^1 + ^1 x 10

= 2 x 6x^3 x 10

= 120x^3

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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
A ball is shot upward from a slingshot at a velocity of 15 m/s the height of the ball after t seconds is given by h(t)=10+ 5t+1/
otez555 [7]

Answer:

The instantaneous velocity after eight seconds is 9 m/s

Step-by-step explanation:

Given as :

The ball shot upward with velocity of 15 m/s

The height of the ball after t sec is given as h(t) = 10 + 5t + \frac{1}{4}t^{2}

Now, The instantaneous velocity after 8 sec = \frac{\partial h(t)}{\partial t}

Or, The instantaneous velocity = \frac{\partial (10 +5t + \frac{1}{4}t^{2})}{\partial t}

or, The instantaneous velocity = 5 + \frac{1}{4}\times 2 t

Now at t = 8 sec

The instantaneous velocity = 5 + 4 = 9 m/s

Hence The instantaneous velocity of ball at t = 8 sec , is 9 m/s  Answer

3 0
3 years ago
(x – 2) / 4 – (3x + 5) / 7 = – 3, x = ?<br><br> WILL GIVE BRAINLIEST
balu736 [363]

Answer:

under

Step-by-step explanation:

change the underminator, we have

7×(x-2)-4×(3x+5)=-3×7×4

7x-14-12x-20=-84

-5x=-50

x=10

6 0
3 years ago
Giving brainliest and alot of points! A projectile is launched at an angle (θ) of 36° and travels a distance of 375 feet; gravit
abruzzese [7]

Answer:

(c) 112 ft/sec

Step-by-step explanation:

4 = 112.33 ft/sec = 112 ft/sec

6 0
2 years ago
$14.65 plus what equals $65.00?
ziro4ka [17]

79.65

I used a calculator

5 0
3 years ago
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