Answers:
- Discrete
- Continuous
- Discrete
- Continuous
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Explanations:
- This is discrete because we can't have half a basketball, or any non-whole decimal value to represent the number of basketballs. We can only consider positive whole numbers {1,2,3,4,...}. A discrete set like this has gaps between items. In other words, the midpoint of 2 and 3 (the value 2.5) isn't a valid number of basketballs.
- This is continuous because time values are continuous. We can take any two different markers in time, and find a midpoint between them. For example, the midpoint of 5 minutes and 17 minutes is 11 minutes since (5+17)/2 = 22/2 = 11. Continuous sets like this do not have any gaps between items. We can consider this to be densely packed.
- This is the same as problem 1, so we have another discrete function. You either score a bullseye or you don't. We can't score half a bullseye. The only possible values are {1,2,3,4,...}
- This is similar to problem 2. This function is continuous. Pick any two different positive real numbers to represent the amount of gallons of water. You will always be able to find a midpoint between those values (eg: we can have half a gallon) and such a measurement makes sense.
So in short, always try to ask the question: Can I pick two different values, compute the midpoint, and have that midpoint make sense? If so, then you're dealing with a continuous variable. Otherwise, the data is discrete.
The slope-intercept form of a line is
y=mx+b
where m is the slope
b is the y-intercept
if you convert the function into an equation, then
y=4-5x
rearranging the equation
y=-5x +4
thus
m=-5 and b=4
the y-intercept of the function is 4
We will see that the exponential decay function is:
f(x) = 175*(0.8)^x
<h3>
How to find the exponential decay?</h3>
The general exponential decay is:
f(x) = A*(1- r)^x
Where:
- A is the initial value.
- r is the rate of decay in decimal form.
- x is the variable, in this case is the time.
Here we know that the initial value is 175, and the rate of decay is 20%. To get this in decimal form, we just divide it by 100%.
20%/100% = 0.2
Replacing that in the exponential function, we get:
f(x) = 175*(1 - 0.2)^x
f(x) = 175*(0.8)^x
If you want to learn more about exponential functions, you can read:
brainly.com/question/11464095
Step-by-step explanation:
<h3> cookbooks : novels </h3><h3> 2 : 11 </h3><h3> So 6 : 33 </h3>
<h3> cookbooks : reference books </h3><h3> 3 : 4 </h3><h3> So 6 : 8 </h3>
novels : cookbooks : reference books
<h3> 33 : 6 : 8 </h3>
