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melomori [17]
3 years ago
9

What is the explicit formula for the sequence of even integers?

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

Answer:

2n

Step-by-step explanation:

2(1)=2

2(2)=4

2(3)=6

I hope this helps.

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In which situation is the distance traveled proportional to time? A car moving in stop-and-go traffic A person biking on a trail
Sindrei [870]
For this case, what you must do is to see in which scenario the speed of keeping constant during a certain time.
 "A person biking on a trail at 1212 miles per hour for 2020 minutes"
 We observe that the distance in this case is proportional to the time and the constant of proportionality is the speed.
 In other words:
 d = v * t
 Answer:
 the distance traveled is proportional to time in:
 "A person biking on a trail at 1212 miles per hour for 2020 minutes"
5 0
3 years ago
A dose of a new pharmaceutical drug is decaying according to the half-life model f(t) = Ne-0.2174, where N is the dose
Rudiy27

Answer:

  14.7

Step-by-step explanation:

Perhaps your equation is ...

  f(t) = N·e^(-0.2174t)

We want f(6) = 4, so ...

  4 = N·e^(-0.2174·6) = N·e^-1.3044 ≈ 0.2713N

  N = 4/0.2713 = 14.7 . . . . milligrams

The dose amount was about 14.7 mg.

6 0
3 years ago
Use a double angle or half angle identity to find the exact value of each expression
STatiana [176]

Answer:

Step-by-step explanation:

There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.

We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:

3^2=1^2+y^2 which simplifies to

9=1+y^2 and

y^2=8 so

y=\sqrt{8}=2\sqrt{2} so that's the missing side. Now we can easily determine that

sin\theta=\frac{2\sqrt{2} }{3}

Now we have everything we need to fill in the identity for sin2θ:

2sin\theta cos\theta=2(\frac{2\sqrt{2} }{3})(\frac{1}{3}) and multiply all of that together to get

2sin\theta cos\theta=\frac{4\sqrt{2} }{9}

4 0
2 years ago
You use a garden hose to fill a wading pool. If the water level rises centimeters every minutes and you record the data point of
antiseptic1488 [7]

Answer:

The rate of change at which the water level rise is 13/6 cm/minute.The slope of the line is 13/6.The value of y is 23, (12,23).

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