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mina [271]
3 years ago
6

CALCULATOR ACTIVE DIRECTIONS FOR THE CALCULATOR ACTIVE SECTION OF THE TEST: • Calculators may be used during this test. • Read e

ach problem carefully. • Choose the best answer from the choices given. • Fractions in some answer choices may have been simplified. Check each answer choice to see if this has been done. Diagrams used in the test may not be drawn to scale. • At this time, you can check your answers for THIS SECTION ONLY.​

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

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I need help converting square feet into a perimeter
ElenaW [278]
<em><u>Perimeter=L+W×2
50+30×2=160.
</u></em>

8 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
3 years ago
What is the quotient?
Phoenix [80]

Answer:

4000000000000=4x10^12

Step-by-step explanation:

The first choice is the quotient.

6 0
3 years ago
please help asap! Which of the following statements is not true?(1 point) Every real number is also a complex number. For a comp
melomori [17]

Answer:

last statement is false

Step-by-step explanation:

3 0
3 years ago
A 12-ounce Pepsi contains 54 mg of caffeine. A can of Red Bull (8.2 oz) has 80 mg of caffeine.
spayn [35]

Answer:

17.8\ ounces

Step-by-step explanation:

we know that

A 12-ounce Pepsi contains 54 mg of caffeine

A can of Red Bull (8.2 oz) has 80 mg of caffeine

so

using proportion

Find out how many ounces of Pepsi do you need to drink to get 80 mg of caffeine

Let

x ----> the number of ounces of Pepsi

\frac{12}{54}\frac{ounces}{mg}=\frac{x}{80}\frac{ounces}{mg}\\\\x= 80*12/54\\\\x= 17.8\ ounces

5 0
3 years ago
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