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stepladder [879]
3 years ago
10

The population of a certain country since 1990 can be approximated by f(t)=0.008t2+2.1t+175 where f(t) is the population in mill

ions and t represents the number of years since 1990. Find the average rate of change in the country's population between 1990 and 2010. Round to 1 decimal place.
Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

\frac{f(20)-f(0)}{20-0} = \frac{220.2-175}{20}  = 2.26

Step-by-step explanation:

as with all functions f(t), the average rate of change on [a.b] is

\frac{f(b)-f(a)}{b-a}

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<u>1.Example, x²-25 can be factored as (x+5)(x-5).</u>

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<u>3.When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5).</u>

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2 years ago
143+ [(96 + 8) 5] – 42.
Tresset [83]

Answer:

621

Explanation:

143 + (96 + 8)(5) − 42

(96 + 8)(5)

= 520

143 + 520 - 42

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663 - 42

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7 0
3 years ago
Evaluate the variable expression when a=-4, b=2, c=-3, and d =4. b-3a/bc^2-d​
gtnhenbr [62]

Answer:

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

\dfrac{b-3a}{bc^{2}-d}=1

Step-by-step explanation:

Evaluate:

\dfrac{b-3a}{bc^{2}-d}

When a=-4, b=2, c=-3, and d =4

Solution:

Substitute, a=-4, b=2, c=-3, and d =4 in above expression we get

\dfrac{b-3a}{bc^{2}-d}=\dfrac{2-3(-4)}{2(-3)^{2}-4}\\\\=\dfrac{2+12}{18-4}\\\\

\dfrac{b-3a}{bc^{2}-d}=\dfrac{14}{14}=1

Therefore, the variable expression when a=-4, b=2, c=-3, and d =4 is

\dfrac{b-3a}{bc^{2}-d}=1

6 0
3 years ago
Convert 525 m to km using any method.
Oksi-84 [34.3K]

Answer:

0.525 km

Step-by-step explanation:

divide length value by 1000

6 0
3 years ago
The front of Josh’s roof is shaped like a triangle. It has a base of 100 feet and a height of 15 feet. What is the area of Josh’
mario62 [17]

Answer:

750 feet^2

Step-by-step explanation:

Area of triangle = 1/2bh

(1/2)(100)(15)

750 feet^2

6 0
3 years ago
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