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Dmitry_Shevchenko [17]
3 years ago
9

I'd Point A is located at (9,2) on a coordinate plane and point B is located at (-9,10), what is the distance between the two po

ints?
Mathematics
1 answer:
Fiesta28 [93]3 years ago
4 0
Draw the triangle and then use Pythagoras' theorem

distance = \sqrt{18 ^{2} +8 ^{2}   }
              = 19.70 (2dp) 
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Exponential growth/decay problem 2
lapo4ka [179]

Answer:

a) decay

b) 2,950,000

c) 0.025

d) f(x)=2950000(0.975)^x

e) 2,409,123

Step-by-step explanation:

<u>Part (a)</u>

Exponential DECAY, since the population was decreasing annually.

<u>Part (b)</u>

Initial amount = 2,950,000 people (in the year 2000)

<u>Part (c)</u>

Decay factor = 2.5% = 0.025 (in decimal form)

<u>Part (d)</u>

General form of exponential decay function:

f(x)=a(1-r)^x

where:

  • a = initial amount
  • r = rate of decay (in decimal form)
  • x = time (in years)

Given:

  • a = 2950000
  • r = 0.025

\implies f(x)=2950000(1-0.025)^x

\implies f(x)=2950000(0.975)^x

<u>Part (e)</u>

To determine the city's population in 2008:

x = 2008 - 2000 = 8

\begin{aligned}\implies f(8) & =2950000(0.975)^8\\ & = 2409123\: \sf(nearest\:whole\:number)\end{aligned}

7 0
2 years ago
FREE POINTS DONATION!!! 2 ANSWERS GETS IT!!! GET IT BEFORE SOME ELSE DOES!
True [87]

Answer:

ok

Step-by-step explanation:

ty

4 0
4 years ago
Read 2 more answers
The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 5 years.
Oksana_A [137]

Complete question is in comment section :

Answer:

68%

Step-by-step explanation:

Mean = 25

Standard deviation = 5

The percentage of trees between 20 and 30

20 trees = 1 standard deviation below the mean ; mean - 1(standard deviation)

25 - 5 = 20

30 trees = 1 standard deviation above the mean ;

Mean + 1(standard deviation) ;

25 + 5 = 30

This means, 20 and 30 lies ±1 standard deviation from the mean which according to the empirical rule is 68%

According to the empirical rule :

7 0
3 years ago
I need help asap plz people:-)
77julia77 [94]

Answer:

2,0

Step-by-step explanation:

Sorry if I got it wrong.

7 0
3 years ago
Please help, I’ll give brainlyist <br><br> FIND THE MEASURE OF A
Ksenya-84 [330]

Answer:

18°

Step-by-step explanation:

The m∠A ≅ x+32

The angle opposite 36° is 36° & the angle opposite x+126 is x + 126: Vertical angles theorem

The three angles in the triangle with m∠A are 36°, x+126°, and x+32°(m∠A)

36+x+126+x+32 = 180 : Angles in a triangle theorem

194+2x = 180

2x = -14

x= -7

m∠A ≅ -14+32

m∠A≅ 18°

I hope this helps!!!

6 0
3 years ago
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