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stira [4]
3 years ago
12

3 Questions!! Please help with all!!!

Mathematics
1 answer:
Reil [10]3 years ago
4 0
1. You will have to provide the answers.

2. I believe the answer to this is false. You might want to double check with somebody, just in case.

3. n≥4

Hope this helps.
You might be interested in
The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
1 year ago
An arithmetic sequence is defined by the general term tn = -5 + (n - 1)78, where n ∈N and n ≥ 1. What is the recursive formula o
Gnoma [55]

Answer:

C

Step-by-step explanation:

In general for arithmetic sequences, recursive formulas are of the form

aₙ = aₙ₋₁ + d,

and the explicit formula (like tₙ in your problem), are of the form

aₙ = a₁ + (n - 1)d,

where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.

But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So

tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript

tₙ₊₁ = tₙ + d

Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.

6 0
2 years ago
Read 2 more answers
Lisa uses her hair dryer daily dryer uses 1500 watts. it take 10 mintes to dry her hair each time she uses it. how much would it
Volgvan

Answer:

Step-by-step explanation:

The answer is $11.55 for the week.

1) Since 1 watt is 0.001 kilowatts, 1500 watts is 1.5 kilowatts.

2) Multiply that by 7 for the week and that equals 10.5.

3) It takes her 10 minutes each day, so it takes 70 minutes per week, that is also 1.1 hours.

4) Multiply 10.5 kilowatts by 1.1 hours and you get 11.55.

5) The answer is $11.55 per week to dry Lisa's hair.

3 0
2 years ago
How to factor 9X^3-27
azamat
You will find teh GCF of that this will give you 9(x3-3) now you can fator it teh factors of these can be (x2+1) and (x-3)
4 0
2 years ago
Write an equation in point-slope form of the line that passes through the point (7, -4) and has a slope of m=-6.
alekssr [168]

Answer:

(-4-y) = -6(7 - x)

Step-by-step explanation:

3 0
3 years ago
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