Ask question

Ask question

All categories

2 years ago

15

The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initi

al population P0 has doubled in 3 years, how long will it take to triple

1 answer:

lozanna [386]2 years ago

3 0

It will take 7.925 years for the population to triple.

For the steps:

You might be interested in

State the size of angle OAB, giving a reason for your answer

Alja [10]

Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.

Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

Therefore, angle OAB = 90°

5 0

2 years ago

Web Shooting: A radioactive spider has escaped from the lab and bit you. The spider bite infects (and consequently mutates) 10,0

Mrrafil [7]

Answer:

Step-by-step explanation:

find the solutions below

6 0

2 years ago

Which graph is defined by the function given below? y=(x-2)(x+5)

Igoryamba

Step 1: Foil to get y=x^2+3x-10

Step 2: The C of the equation is -10, which is the y-intercept (so the answer is graph A)

Just to check, you can find the x intercepts

x-2=0

x=2

x+5=0

x=-5

3 0

2 years ago

Compute the integral (a) int sin (pi x) dx by letting u = pi x. (b) int e^(x/2) dx by letting u = x/2. Show that you got the cor

Maslowich

Answer:

(a) $\int sin(\pi x) dx$ $=-\frac {cos \pi x}{\pi}+c$

(b) $\int e^\frac{x}{2} dx$ $=2e^\frac{x}{2}+c$

Step-by-step explanation:

(a)

$\int sin(\pi x) dx$

Let u = π x

differentiating with respect to x

du = π dx

$\Rightarrow dx=\frac{du}{\pi}$

Putting the value of x and dx

$=\int sin u \frac{du}{\pi}$

$=\frac{-cos u}{\pi}+c$ [ c is an arbitrary constant]

Now putting the value of u

$=-\frac {cos \pi x}{\pi}+c$

(b)

$\int e^\frac{x}{2} dx$

Let $u=\frac{x}{2}$

differentiating with respect to x

$du= \frac{1}{2} dx$

2du = dx

Putting the value of x and dx

= $\int e^u.2.du$

= $2e^u +c$

Now putting the value of u

$=2e^\frac{x}{2}+c$ [ c is an arbitrary constant]

3 0

2 years ago

What is the range of the function y = e Superscript 4 x

Alborosie

Answer:

A. Less than zero

Step-by-step explanation:

So If you graph the function, you'll see that it never actually crosses the y axis into the third or fourth quadrant, the quadrants where all y values become negative.

The answer A is also correct on Edge

Have a great day dude

3 0

2 years ago

Read 2 more answers