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2 years ago

Questions on attached photo.

Mathematics

2 answers:

Vinil7 [7]2 years ago

3 0

Answer:

Step-by-step explanation:

slavikrds [6]2 years ago

3 0

Answer:

$y = {11}^{x}$

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

4 0

3 years ago

Many electronics follow a failure rate described by an exponential probability density function (PDF). Solar panels are advertis

katovenus [111]

Answer:

The right answer is "0.3193".

Step-by-step explanation:

According to the question,

Mean,

$\frac{1}{\lambda} = 13$

$\lambda = \frac{1}{13}$

As we know,

The cumulative distributive function will be:

⇒ $1-e^{-\lambda x}$

hence,

In the first 5 years, the probability of failure will be:

⇒ $P(X$

$=1-e^{-(\frac{1}{13} )\times 5}$

$=1-e^(-\frac{5}{13})$

$=1-0.6807$

$=0.3193$

3 0

3 years ago

What is the value of x?

svet-max [94.6K]

cosec60=2/square root of 3

3 0

3 years ago

How would you write 6 × 6 × 6 × 6 as an exponential expression?

stepan [7]

The answer is 6⁴.

Exponent is the number of times the factor is being multiplied. For example:
x * x = x²
x * x * x = x³
x * x * x * x = x⁴
....
So:
6 * 6 * 6 *6 = 6⁴

8 0

3 years ago

Damian spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -6°F

Jlenok [28]

Answer:

-4.2

Step-by-step explanation:

6.9 - 11.1

8 0

3 years ago

Questions on attached photo.​

Questions on attached photo.