What is the circumstance of the circle below in terms of pi?

Please help<br> Find the value of X

const2013 [10]

Answer:

23

Step-by-step explanation:

7 0

3 years ago

(c). Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in s

Bezzdna [24]

(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is

P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155

In Mathematica, it's convenient to define a function:

P[t_] := 3t^2 + 3E^t + 10

(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)

Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.

(ii) The average rate of change of P(t) over an interval [a, b} is

(P(b) - P(a))/(b - a)

Then the ARoC between t = 2 and t = 6 is

(P(6) - P(2))/(6 - 2) ≈ 321.030

In M,

(P[6] - P[2])/(6 - 2)

and you can also include N just as before.

(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :

P'(t) = 6t + 3e^t

Evaluate the derivative at t = 60 :

P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰

The approximate value is quite large, so I'll just leave its exact value.

In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.

5 0

2 years ago

The ratio of the dimensions of a rectangular patio are 4:7. if the shorter

Cerrena [4.2K]

If the ratio of the dimensions is 4:7 and the shorter dimension is 10ft, we know that the 10ft corresponds to the 4 in this scenario. We can set up the equation as follows:

$\frac{4}{7} =\frac{10}{x}$

You have to multiply by 2.5 to get from 4 to 10. And since we want to make sure we are maintaining the ratio, we have to multiply the denominator, 7, by 2.5 as well.

$\frac{4}{7}*\frac{2.5}{2.5}=\frac{10}{17.5}$

This means your shorter side has a length of 10ft and your longer side has a length of 17.5ft.

AREA

The formula for the area of a rectangle is: $w*l$

So we can plug our dimensions into the formula: $10*17.5=175$

So 175 is our area. But we can't forget about units! Since this is area and we multiplied our units together, our units would be squared. That means our answer is <u>175 square feet</u>.

PERIMETER

The formula for the perimeter of a rectangle is: $2(w+l)$

We can plug our dimensions into the formula: $2(10+17.5)=55$

So 55 is our perimeter. Of course, we can't forget about our units. Because this is perimeter, we only added our units together, so they don't change. That means our answer is <u>55 feet</u>.

4 0

2 years ago

How to calculate the function y=x/3

OLEGan [10]

X Y
0 0
1 1/3
2 2/3
3 1
4 4/3
5 5/3
6 2
7 7/3
8 8/3
9 3
I think this is what you meant. This is just a table for the values of y = x/3

6 0

2 years ago

Will give Brainliest!!!!!

Alexxandr [17]

<h3>Determining the solution.</h3>

The solution(s) for the provided graph are (0, 6) and (6, 0)

<h3>What is a solution of a graph?</h3>

The solution of the <u>system of equations</u> is the <u>intersection</u> of the two equations.

<h3>Reasoning.</h3>

In the image provided, we can see two solutions (i<u>ntersection points)</u> that are intersected by a line and a circle.

<u>Those two solutions are:</u>

(0, 6) and (6, 0)

4 0

2 years ago