Answer:
See the attached figure
y-intercept is the value of y when x = 0
Given the functions:
y = 3^x ⇒ the graph with the blue color
y = 2(1/2)^x ⇒ the graph with the red color
y = (1/4)^x ⇒ the graph with the green color
<u>As shown:</u>
<u>y = 3^x</u>
y-intercept at (0, 1)
graph initially increases slowly and then increases rapidly
<u>y = 2(1/2)^x</u>
y-intercept at (0, 2)
graph initially decreases rapidly and then decreases slowly
<u>y = (1/4)^x</u>
y-intercept at (0, 1)
graph initially decreases rapidly and then decreases slowly
Answer:
of the whole pie
Step-by-step explanation:
The problem calls for a <em>multiplication of fractions.</em> In order to know how much pie Reuben got, we have to multiply
by the pie Gabriella has, which is
.
So:
x
= 
Let's reduce the answer to its lowest term by dividing both the<em> numerator</em> and the <em>denominato</em>r by 12.
Numerator: 12÷12 = 1
Denominator: 24÷12 = 2
So, this makes Reuben's share being
of the whole pie.
The height of the right circular cylinder with volume of 500π cubic centimetre and radius of 5 centimetre is 20 cm.
<h3>Volume of a cylinder</h3>
volume = πr²h
where
Therefore,
volume = 500π cm³
r = 5 cm
Therefore,
volume of the cylinder = πr²h
500π = 5²πh
500π = 25πh
divide both sides by 25π
500π / 25π = 25πh / 25π
h = 20 cm
learn more on cylinder here: brainly.com/question/11083770