Plz help ASAP complete the number sentence to show the distributive property. 7✖️6= help plz

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places

Ghella [55]

Answer:

That is the solutions are:

$\frac{\pi}{3}+2\pi \cdot k$ , $\frac{5\pi}{3}+2\pi \cdot k$

Step-by-step explanation:

The period of $\cos(x)$ or $\sin(x)$ is $2\pi$ .

Let's look at the first rotation to see when $\cos(\theta)=\frac{1}{2}$ happens.

This happens at $\frac{\pi}{3}$ and also at $\frac{5\pi}{3}$ . (Notice I just looked at the x-coordinates because that is what cosine is. Sine is the y-coordinate.)

Now to find the rest of the solutions we can just make full rotations either way to get back to those points .

That is the solutions are:

$\frac{\pi}{3}+2\pi \cdot k$

$\frac{5\pi}{3}+2\pi \cdot k$

7 0

4 years ago

For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the

kompoz [17]

Answer:

The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94

Step-by-step explanation:

The percentage of costumers that have a device made by Apple = 60%

The percentage of customers that own a smartphone = 85%

The percentage of customers that use Venmo = 80%

The percentage out of the smartphone users that use Venmo = 80%

The probability both independent events A and B occurring = P(A) × P(B)

The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)

Therefore, the probability of A or B or both occurring is given as follows;

P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)

Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;

P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94

Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94

5 0

3 years ago

Factor the following expression completely:<br> 16x^5 - x^3

myrzilka [38]

Assignment: $\bold{Factor \ 16x^5 - x^3}$