The change is decay and the percentage rate of decrease will be 95%.
An exponential function is a function where a number is raised to the variable i.e. base is raised to the exponent times.
Here given the exponential function is y= 4300(0.042)ˣ
Now we have to identify if the change in exponential function represents growth or decay, and have to determine the percentage rate of increase or decrease.
Here in the exponential function, the base is less than 1 so the change is decay.
The equation represents exponential decay because the decay factor is lesser than 1.
The general form of the exponential equation is:
y(x)= a(1-r)ˣ such that r is the decay.
equating with the equation
y= 4300(0.042)ˣ
a= 4300
and 1-r=0.042
⇒r= 1-0.042
⇒r= 0.958
the perecentage of decay will be r*100= 0.958*100= 95%
Therefore the change is decay and the percentage rate of decrease will be 95%.
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Answer:
Step-by-step explanation:
The formula of a lateral area of a cone:
r - radius
l - lateral height
We have the radius r = 6in and the height H = 8in.
Use the Pythagorean theorem to calculate the lateral height:
Substitute:
<span> sqrt 21y * 5sqrt 49y
= sqrt(21y) * 5*7*sqrt(y)
= sqrt(y) [ sqrt(21) * 35 ] (answer)</span>
Answer:
The difference between the two is that in a dependent event an action will affect the ultimate outcome, but in an independent event an action won't affect the ultimate outcome. A way to tell is if the total number of the "item" at hand will be affected by the action the question is saying. In the case of the example given, that is a dependent event because the total of marbles you started with is changed due to you not replacing the one you first took. Therefore the probability is now different.
Step-by-step explanation:
Answer: The required function would be 
Step-by-step explanation:
Since we have given that
There are two real zeroes :
x = -8 and x = 5
So, we need to find the function satisfying the above two zeroes:
Let α = -8 and β = 5
So, it means it is a quadratic equation :
Hence, the required function would be
