Actually Welcome to the Concept of the areas.
Since we know that, radius = diameter /2
here, => d = 2r ,
hence we use the formula as,
A = πr^2 ,
here option d.) is correct.
Answer:
(y - 18) = -3/2 (x - 12)
Step-by-step explanation:
125% of 12 equals 15
75% of 18 equals 13 1/2
so the slope equals 4.5/-3 or -3/2
The equation of the exponential model is f(x) = 3 * 0.2^x
<h3>How to determine the exponential model?</h3>
The table of data is given as:
x(-2,-1,0,1,2)
f(x)(71,13,3,0.6,0.1)
An exponential model is represented as:
f(x) = ab^x
When x= 0 and f(x) = 3;
We have:
ab^0 = 3
This gives
a = 3
When x= 1 and f(x) = 0.6
We have:
ab^1 = 0.6
This gives
ab = 0.6
Substitute 3 for a
3b = 0.6
Divide both sides by 3
b = 0.2
Substitute b = 0.2 and a =3 in f(x) = ab^x
f(x) = 3 * 0.2^x
Hence, the equation of the exponential model is f(x) = 3 * 0.2^x
Read more about exponential model at:
brainly.com/question/2441623
#SPJ4
Answer:
The 75th term of the arithmetic sequence -17, -13, -9.... is:
Step-by-step explanation:
Given the sequence
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
The first element of the sequence is:
now substitute and in the nth term of the sequence
Now, substitute n = 75 in the sequence to determine the 75th sequence
Therefore, the 75th term of the arithmetic sequence -17, -13, -9.... is:
Answer:
Hence, greatest common divisor of x and y is : 29.
Step-by-step explanation:
We are given:
We are given the large integers 'x' and 'y' as:
x=2×3×5×7×11×13×17×19×23×29
We could clearly see that x is the multiplication of all the prime numbers starting from 2 and ending at 29.
we are given y as:
y=29×31×37×41×43×47×53×59×61×67
Clearly we could see that y is also a multiplication of all the prime numbers starting from 29 and ending at 67.
<em>" In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers "</em>
Hence from the expression of x and y we could clearly see that the only common divisor that divides both x and y is 29.
Hence, greatest common divisor of x and y is 29.
