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igor_vitrenko [27]
3 years ago
12

Type the ordered pair that is the solution to these questions. X=5y 2x-3y=14

Mathematics
1 answer:
Dmitry [639]3 years ago
3 0
The answer will be (10,2) because of the substitution method.
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the 3rd option

Step-by-step explanation:

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a man stands a distance away from a 45 foot tower. the angle of depression from the top of the tower to the man is 40 degrees. h
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a band of 45 ewoks crash-landed in the forest last night. this sounds like a small problem, but the population will grow at the
kogti [31]

Given Information:

Starting population = P₀ = 45

rate of growth = 22%

Required Information:

Population every five years from this year to the year 2050 = ?

Answer:

Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\

Step-by-step explanation:

The population growth can be modeled as an exponential function,

P(t) = P_0e^{rt}

Where P₀ is the starting population, r is the rate of growth of the population and t is the time in years.

We are given that starting population of 45 and growth rate of 22%

P(t) = 45e^{0.22t}

Assuming that the starting year is 2020,

Year \: 2020 = P(0) = 45e^{0} = 45\\\\Year \: 2025 = P(5) = 45e^{0.22*5} = 135\\\\Year \: 2030 = P(10) = 45e^{0.22*10} = 406\\\\Year \: 2035 = P(15) = 45e^{0.22*15} = 1,220\\\\Year \: 2040 = P(20) = 45e^{0.22*20} = 3,665\\\\Year \: 2045 = P(25) = 45e^{0.22*25} = 11,011\\\\Year \: 2050 = P(30) = 45e^{0.22*30} = 33,079\\\\

Therefore, the starting population of ewoks was 45 in 2020 and increased to 33,079 by 2050 in a time span of 30 years.

8 0
3 years ago
Cocoa plant type 1 yielded 155 bushels per acre last year at a research farm. This year,
ankoles [38]

Answer:confounding variable

Step-by-step explanation:

7 0
3 years ago
17. If13=xy-5 and y = 6, what is the value of x? (A) 0 (B) 3 (C) 6 (D) 8​
ludmilkaskok [199]

Answer:

Option B: 3

Step-by-step explanation:

<u>#1: Substitute in 6 for </u>y<u> and 3 for </u>x<u>:</u> 13=(3)(6)-5

<u>#2: Multiply 3 and 6:</u> 13=18-5

<u>#3: Evaluate the equation:</u> 13=18-5 → 13=13

<u>#4: Check if the solution is equal:</u> 13=13 ✓

x is equal to 3 (Option B).

7 0
2 years ago
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