So you may see more than one post abt these bc its due at 11:59 lol

Which of the following is a logarithmic function?

Komok [63]

Answer:

A) y = $log_{3}(x)$ is logarithmic function.

Step-by-step explanation:

Given : Options.

To find : which of the following is a logarithmic function.

Solution : We have given option

Logarithmic function : The function which have log init.

We can see from given options

y = $log_{3}(x)$ is logarithmic function.

Therefore, A) y = $log_{3}(x)$ is logarithmic function.

4 0

3 years ago

Read 2 more answers

WILL MAKE BRAINLIEST!!! A Ferris wheel has a diameter of 220 feet and the center of the wheel is 125 feet above the ground. The

daser333 [38]

Since the radius of a circle is half its diameter, the radius of our Ferris wheel is $r= \frac{220}{2} =110$ ft

Next, we are going to convert from revolutions per minute to degrees per second.
We know that the wheel makes a complete turn every 2 minutes, so it makes a complete turn in 120 seconds. Since there are 360° in a complete turn, we can set up our conversion factor:
 $\frac{1*360}{120}=3$ degrees per second

Now, lets find the height:
We know that the passenger is at the lowest point on the wheel when t=0; since the wheel is 125 feet above the ground, at t=0 h=125. To find t at the top, we are going to take advantage of the fact that the wheel will turn 180° from the lowest point to the top and that it turns 3° every second:
 $t= \frac{180}{3}$
$t=60$
Notice that the height at the top is the diameter of the wheel plus the height above the ground, so $h=220+125=345$ .

To model the situation we are going to use the cosine function, but notice that $cos (\alpha)$ is 1 when $\alpha =0$ and -1 wen $\alpha =180$ . Since we want the opposite, we are going to use negative cosine.
Notice that we want $\alpha =180$ when $t=60$ , so we are going to use $-cos(3t)$ . Next, we are going to multiply our cosine by the radius of our wheel: $-110cos(3t)$ , and last but not least we are going to add the sum of the radius of the wheel plus the height above the ground:
$h=110+125-110cos(3t)$
$h=225-110cos(3t)$

Now that we have our height function lets check if everything is working:
the passenger is at the lowest point at t=0; we also know that the lowest point is 125 feet above the ground, so lets evaluate our function at t=0:
 $h=225-110cos(3t)$
$h=225-110cos(3*0)$
$h=125$ feet
So far so good.
We also know that at t=60, our passenger is 345 feet above the ground, so lets evaluate our function at t=60 and check if coincides:
$h=225-110cos(3t)$
$h=225-110cos(3*60)$
$h=225-110cos(180)$
$h=345$ feet

We can conclude that cosine function that express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes) ) is: $h=225-110cos(3t)$

8 0

3 years ago

Darla wants to buy a dress for $20 and some shirts for $12 each. She has $80. Write and solve an inequality to find the number o

marishachu [46]

Answer:

5 shirts for 12 is 60 dollars

20 dollar dress plus 60 is 80

Step-by-step explanation:

4 0

3 years ago

A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in

Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

$s(t) =16t^2+32t$