The maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
<h3>How to determine the diameter</h3>
The formula for area of a sphere is expressed as;
Area = 4 πr²
If Selim paid $2 per square foot and have a maximum of $20 per square
The area he can purchase is;
= $20/$2
= 10$
Substitute the value into the formula
10 = 4πr²
10 = 4 × 3. 142 × r²
10 = 12. 568r²
Make 'r²' the subject
r² = 10/ 12. 568
r² = 0. 79
Find the square root of both sides
r = √0. 79
r = 0. 89
But diameter = 2(radius)
Diameter = 2 × 0. 89 = 1. 78 ft
Thus, the maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
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4096 ways : 8 candy toppings plus 4 fruit toppings is 12. Then 2^12 (2 different types of toppings and the 12 of total toppings) = 4096
Add 4x over to 14x, 3=5x2- 18x then add 18x to the other side 3+ 18x= 5x2then divided each side by 5,( 3+18x/5=x2) then square root each side the answer to x would be the square root of 3+18x/5
Answer:
P(x) = x^4 -16x^3 +76x^2 -72x -100
Step-by-step explanation:
The two roots 1-√3 and 1+√3 give rise to the quadratic factor ...
... (x -(1-√3))(x -(1+√3)) = (x-1)^2 -(√3)^2 = x^2 -2x -2
The complex root 7-i has a conjugate that is also a root. These two roots give rise to the quadratic factor ...
... (x -(7 -i))(x -(7 +i)) = (x-7)^2 -(i)^2 = x^2 -14x +50
The product of these two quadratic factors is ...
... P(x) = (x^2 -2x -2)(x^2 -14x +50) = x^4 +x^3(-14 -2) +x^2(50 +28 -2) +x(-100+28) -100
... P(x) = x^4 -16x^3 +76x^2 -72x -100
Answer:
Step-by-step explanation:
P1(3,3)
P2(1, -5)
M= (-5-3)/(1-3)=-8/-2=4
Y=4x-9
