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AnnZ [28]
4 years ago
14

a population of size 2000 at time t equals​0, where t is measured in years. 1. Suppose Jonesville​'s population grows by 170 peo

ple per year. 2. Suppose the population of Smithville grows by 7​% per year.
Mathematics
1 answer:
galina1969 [7]4 years ago
4 0

Answer:

1. a_n=a_1+(n-1)d

2.a_n =a_n_-_1+a_n_-_1(0.07)

Step-by-step explanation:

For case 2 the population grows by 170 per year. Therefore for year t=0 its 2000 and t=1 then the population is 2170 and t=2 population is 2340. We can express the sequence as:

a_n=a_1+(n-1)d

We know the difference is d=170 and n=1,2,3....:

Case two can be define by:

a_n

=a_n_-_1+a_n_-_1(0.07)

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Select the correct answer.
Lina20 [59]

Based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

<h3 /><h3>What is congruency?</h3>

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".

Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

Learn more about congruency at

brainly.com/question/14418374

#SPJ1

5 0
2 years ago
Easy one for you folks. show work.<br>who ate more?​
In-s [12.5K]
What is the question
3 0
2 years ago
What is the rate of change from x = n to x = 2n?​
puteri [66]

Answer:

\dfrac{-8}{\pi}

Step-by-step explanation:

The rate of change of the function f(x) from point x_1 to point x_2 can be calculated using formula

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

Given

x_1=\pi\\ \\x_2=2\pi

From the graph of the function

f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4

So, the rate of change is

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}=\dfrac{-4-4}{2\pi -\pi}=\dfrac{-8}{\pi}

5 0
3 years ago
(b) factorise <br>(3m-1)(6-a)-(m+3)(6-a)​
Step2247 [10]

Answer:

Step-by-step explanation:

(3m-1)(6-a)-(m+3)(6-a)

=3m(6-a)-1(6-a)-m(6-a)+3(6-a)

=18m-3ma-6+a-6m+ma+18-3a

=12m-2ma+12-2a

=2(6m-ma+6-a)

7 0
3 years ago
Need help Asap what is the approximate area of the circle use π =3.14
goldfiish [28.3K]
You need to include the radius.
4 0
3 years ago
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