Can someone please help with 6 and 7? Thank you!

Choose the function whose graph is given by:

katen-ka-za [31]

Answer:

D. $y=\tan (x-\pi)+2$

Step-by-step explanation:

We are given the graph of the transformed tangent function.

As, we can see that the graph is shifted 2 units upwards.

That is, the parent function is translated 2 units up.

So, the new function will be of the form, $y=\tan (x)+2$ .

Thus, options A and C are not correct.

Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period $\frac{P}{|b|}$ .

Also, form the figure, we see that the period of the graphed function is $\pi$ .

Since, $y=\tan (x)$ have period $\pi$ .

So, function in option B will have period $\frac{\pi}{2}$ , which is not possible.

<em>Further, function in option D have period $\pi$ .</em>

Thus, the equation of the graphed function is, $y=\tan (x-\pi)+2$ .

7 0

2 years ago

Read 2 more answers

Thomas wants to estimate the mean height of students attending his college. He records the heights of 25 randomly selected stude

Nadya [2.5K]

Answer: B - The mean height of all the students of the college.

Explanation:

In statistics, the concept of parameter refers to the value that you want to know about a population to characterize it, for example, mean height, mean age, etc.

In this case, the value that you want to know about the population of the college is the mean height of its students, so the correct option is B.

The following concepts are used in statistics that can be applied to the given example:

- Population (all students of the university).

- Parameter (mean height of university students).

- Sample (the 25 randomly selected students).

- Elements (the heights of the selected students).

- Estimator (average height of randomly selected students).

7 0

2 years ago

The heaviest land animal ever recorded (according to the Guinness Book of World Records) was a male African bush elephant. He we

tino4ka555 [31]

Answer:

The largest African elephant weighed 13.5 tons (27,000 pounds) The world record holder weighed this much and stood 13ft/4m tall at the shoulder. There are other species of elephants, namely the Asian and the Indian, but they are much smaller than the African. The African elephant is the king among the giants on land. No other land animal comes close to the size of these creatures. It would take 165 full-grown men to make up the same weight as the world's record African elephant. The noise of an elephant digesting its food (when its tummy's growling) can be heard up to 600ft/183m away. Elephants actually have control over their digestive processes because they are able to stop the sounds of digestion when they sense danger. Here are some other cool elephant factoids:

8 0

2 years ago

Which is the equation of a parabola with vertex (0, 0), that opens to the left and has a focal width of 12?

sattari [20]

Answer:

$\text{Equation of parabola is }y^2=-12x$