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chubhunter [2.5K]

3 years ago

12

What is the value of c?

2 answers:

yulyashka [42]3 years ago

3 0

Answer:

71

Step-by-step explanation:

kap26 [50]3 years ago

3 0

The answer is 71 degrees, considering that one is a right angle we know that it is 90 degrees and because all of the angles of a triangle added up is 180 we can do 180 - (90 + 42) = 48, 48 is a, then we know that angle B is on a supplementary angle with a so it would be 90 - a = b, plug it in it would be 90 - 48 = 42 then we would do the same thing to find angle c, 180 - (42 + 67) which equals 71

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PLEASE HELP ! Determine f of the quantity 2 plus h end quantity minus f of 2 all over h if f (x) = 5x − 6.

marissa [1.9K]

The value of the function is 5

<h3>What is function?</h3>

A function is defined as a relation between a set of inputs having one output each.

Given function:

f(x) = 5x − 6

Now f(2+h) - f(2) /h

= 5(2+h)-6 - 10+6/h

=10+ 5h -10/h

=5h/h

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2 years ago

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Marat540 [252]

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4 years ago

A community had a population of 12,000 in 1985, which is increased to 20,000 in 2010. The saturation population is 80,000. Estim

ivann1987 [24]

Answer:

The right answer is :

(a) 23,200

(b) 24,514

(c) 22,926

Step-by-step explanation:

According to the question,

$P_1 = 12000$

$P_2 = 20000$

$P_{sat}=80000$

(a)

We know that the arithmetic growth formula will be:

⇒ $P=Pi+K\times t$ ...(1)

here,

⇒ $K=\frac{P_2-P_1}{\Delta t}$

$=\frac{20000-12000}{25}$

$=\frac{80000}{25}$

$=320$

On putting the values in equation (1), we get

⇒ $P_{2020}=20000+320\times 10$

$=23,200$

(b)

The geometric growth formula will be:

⇒ $P=ln(Pi)+K\times t$

here,

⇒ $K=\frac{lnP_2-lnP_1}{\Delta t}$

$=\frac{ln(20000)-ln(12000)}{25}$

By putting the values of general log, we get

hence,

⇒ $P_f=ln(20000)+0.0204\times 10$

$=10.107$

$P_{2020}=e^{10.107}$

$=24,514$

(c)

⇒ $P_f=P_{sat}-(P_{sat}-P_i)e^{-K\times t}$

or,

⇒ $K=-\frac{1}{\Delta t}ln(\frac{P_{sat}-P_2}{P_{sat}-P_1} )$

from here, we get

$=0.005$

hence,

⇒ $P_{2020}=80000-(80000-20000)e^{-0.005\times 10}$

$=80000-(60000)e^{-0.005\times 10}$

$=22,926$

5 0

3 years ago