Rewrite the expression as an exponent with a base of x: (x^6)^4

Mamont248 [21]

6/56 = 3/28........................

7 0

3 years ago

Every ninth person in line at a movie theater gets free popcorn. Every sixth person gets free apple juice. Shani says that the t

pishuonlain [190]

Find the common multiples:

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 9: 9, 18, 27, 36, 45

The common multiples are 18 and 36

The first person in line to get both free would be the 18th person and then the 36th person.

So she is correct that the 36th person would get both free, but they wouldn't be the first person to do it.

8 0

3 years ago

Find all solutions to the equation. cos^2x + 2 cos x + 1 = 0

mixas84 [53]

$\cos^2(x)+2\cos(x)+1=0\\\\ (\cos(x)+1)^2=0\\\\ \text{So:}\\\\ \cos(x)+1=0\\\\ \cos(x)=-1\\\\ \boxed{x=\pi+2k\pi},~k\in\mathbb{Z}$

5 0

3 years ago

Read 2 more answers

Solve the question below 77

Vadim26 [7]

Answer:

The height of the monument is 124.8 ft

Step-by-step explanation:

Right Triangles

The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:

$\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}$

The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.

Taking the angle of 68° as a reference:

$\displaystyle \tan 68^\circ=\frac{h}{48}$

Solving for h:

$\displaystyle h=48\tan 68^\circ$

Calculating:

h = 118.8 ft

The height of the monument is 118.8 ft + 6 ft = 124.8 ft

6 0

3 years ago

An experiment was conducted to evaluate the success of an Ebola virus vaccine. The subjects were unaware of the treatment they w

Irina-Kira [14]

Answer:

your answer would be

B complexity

I agree that it is B but would suggest that you also consider the implications of each answer. They are all technically correct.

A is correct simply due to the fact that the longer time passes without an ebola cure, the more people can be potentially infected with it, resulting in less healthy individuals that may be able to volunteer to test potential ebola vaccines. Scientists need healthy volunteers from affected regions in order for rapid clinical trials to occur.

B is correct because of the nature of epidemics. A combination of technical, social, economic, and geographical obstacles slow the progress and dissemination of ebola vaccine information.

C is correct because finance impacts everything from finding resources used in studying ebola to distributing vaccines to affected areas. Economic imbalances or money shortages negatively impact research.

D is correct due to many social factors (more of a subjective answer). Some people think that vaccine distributors discriminate against certain ethnic groups. Others think the governments/other organizations are not effective enough at managing the situation. Still others feel that the search for a cure is not being approached in the right way. In all, there are multiple ways to oppose different aspects of ebola research.

Ultimately, B is correct because it seems to capture the meaning of A, C, and D together.

6 0

3 years ago