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Iteru [2.4K]
3 years ago
7

18. Which one of the following mathematical statements is true?

Mathematics
2 answers:
Mrac [35]3 years ago
8 0

Answer:

b

Step-by-step explanation:

poizon [28]3 years ago
8 0
ANSWER:
The correct answer is option ‘D’ .

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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
What is the slope of the line passing through the points (-3,4) and (4,-1)
Serhud [2]

Answer:

slope = - \frac{5}{7}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (4, - 1)

m = \frac{-1-4}{4+3} = - \frac{5}{7}

8 0
3 years ago
Consider the function below. Find f(5)
Alex73 [517]

Answer:

-3

Step-by-step explanation:

f(x)=-2x+7

f(5)=-2×5+7

=-10+7

=-3

8 0
3 years ago
What is the equivalent fraction of 21/10 with denominater 10 (pls help its urgent also then i will mark brainlist)
mart [117]

Answer: u can research it up

Step-by-step explanation: 210/100 i guess

8 0
2 years ago
Read 2 more answers
Simplifying Ratios<br> 20:10<br> 30:36<br> 54:12
netineya [11]

Answer:

Simplify

1. 20:10 = 2:1

2. 30:36 = 5:6

3. 54: 12 = 18:7

Step-by-step explanation:

Answer for Number 1

The GCF of 20 and 10 is 10

Divide both by the GCF, 10:

20 ÷ 10 = 2

10 ÷ 10 = 1

The ratio 20 : 10 can be reduced t by dividing both terms by the GCF = 10

20 : 10 = 2 : 1

7 0
3 years ago
Read 2 more answers
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