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gogolik [260]
3 years ago
15

A circular disc has a diameter of 24 centimeters. What is the area of the disc?

Mathematics
1 answer:
Degger [83]3 years ago
4 0

D) 144(π) cm2

See the image I have shared

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A population of 400 beetles grows by 5% each week. How can the beetle population be determined after a number of weeks, w?
Helga [31]
For this case we have an equation of the form:
 f (w) = A * (b) ^ w
 Where,
 A: initial amount
 b: growth rate
 w: number of weeks
 Substituting values we have:
 f (w) = 400 * (1.05) ^ w
 Answer:
 the beetle population can be determined after a number of weeks, w, with the following function:
 
f (w) = 400 * (1.05) ^ w
6 0
3 years ago
Read 2 more answers
A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population
Ksju [112]

Answer: The population after 3 hours is 13.9 mill.

Step-by-step explanation:

When we have an exponential with:

A  = initial population.

r = constant relative growth rate:

t = time.

The function that models this is:

P(t) = A*e^(k*t)

In this case we know that:

A = 3.9 mill.

r = 0.4225 1.

Then the function that models the population of this yeast cell is:

P(t) = (3.9 mill)*e^(0.4225*t)

where t represents the time in hours.

Then if we want to know the population after 3 hours, we should replace t by 3.

P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.

And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.

The population after 3 hours is 13.9 mill.

8 0
3 years ago
Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?
Veronika [31]

Answer:

left 1 unit, up 5 units

Step-by-step explanation:

First factor

g(x)=x^2+2x+6 = (x+1)^2+5

The standard transformation formula is

g(x) = a*f(bx-h) + k

which means

a=1, b=1,h=-1, k=5

or

h=-1 means translate left one unit

k=5 means translate up 5 units.  

Choose the first option: left 1 unit, up 5 units

3 0
3 years ago
Read 2 more answers
The equation y=19x relates proportional quantities x and y. What is the value of x when y is 4? Enter your answer in the box
Igoryamba

\frac{4}{19}

8 0
3 years ago
Read 2 more answers
Find x. Round your answer to the nearest tenth of a degree . Please help I will mark brainliest
Oksana_A [137]

Using trigonometric ratio, the value of x is 63.6°

<h3>Trigonometric Ratio</h3>

This is the ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

Trigonometric ratio are often coined as SOHCAHTOA

In the given triangle, we need to find the value of x using trigonomtric ratio.

Since we have the value of adjacent and hypothenuse, we definitely need to use cosine

cosθ = adjacent / hypothenuse

adjacent = 4

hypothenuse = 9

Substituting the values into the equation;

cos θ = 4 / 9

cos θ = 0.444

θ = cos⁻¹ 0.4444

θ = 63.6°

Learn more on trigonometric ratio here;

brainly.com/question/24349828

#SPJ1

7 0
1 year ago
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