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3 years ago

Population growth is: A) Logarithmic B) Linear C) Exponential Please help ASAP!!! :(

Mathematics

1 answer:

Monica [59]3 years ago

6 0

For this case we have that by definition the growth of a population is a function of the form:

$f (x) = a (b) ^ x$

Where,

a: initial population
b: growth rate
x: number of years

We observe then that the function is of the exponential type.

Answer:

C) Exponential

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80 students voted for an eagle 160 students voted for a bulldog round to the nearest whole percent what percent of these student

Alex_Xolod [135]

First you need to find the amount of students who voted.
80 + 160 = 240
160 students out of 240 students who voted, voted for a bulldog. To find the percentage, you need to divide 160 by 240.
160/240 = .6 repeated
You need to move the decimal over two spaces to get the percentage. So then you have 66.6666%. Since it says to round to the nearest whole percent, you need to round the number right after the decimal. 6 rounds the number before it up so you get 67.
So the amount of students that voted for a bulldog is 67%.

3 0

2 years ago

Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

2 years ago

Explain how the position of the decimal point changes in a quotient as you divide by increasing powers of 10.

Darya [45]

The decimal adds a zero every time the powers of ten increase for example if u do 1 x $10^{2}$ =100 if u do 1x $10x^{3}$ =1,000

3 0

3 years ago

Please Help Me On This

anastassius [24]

Answer:

X2 = (-2, 1), W2 = (-4, 1), Y2 = (4, -2), Z2 = (-3, 2)

Step-by-step explanation:

First, flip across the y-axis:

Coordinates: X1 = (2, -1), W1 = (4, -1), Y1 = (2, -4), and Z1 = (3, -2)

Then, rotate 180 degrees counterclockwise:

Coordinates: See above

5 0

3 years ago

PLEASE HELP ME WITH THIS AND EXPLAIN :)

PSYCHO15rus [73]

So first, you need to find the y intercept and slope of the line/function.
then, you just plug it in to y=mx+b form
this one would be:
slope of -5/4
y intercept: 2
so it would be y=-5/4+2

3 0

2 years ago