Answer:
6.4347826087
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
an exponential function of the form
y = a
to find a and b use ordered pairs from the table
using (0, 0.5 ) , then
0.5 = a
[
= 1 ] , then
a = 0.5
so y = 0.5
using (1, 2 ) , then
2 = 0.5
= 0.5b ( divide both sides by 0.5 )
4 = b
then exponential function represented by the table is
y = 0.5 
Formula of the Volume of a hemisphere:
V =


r³
144

=


r³
Multiply by 3 to cancel fraction in the right side
144

× 3 = 2

r³
432

= 2

r³
Divide by 2

on either sides to isolate r³

=

r³
2

and

cancel out
216 = r³
Take cube root to find the radius
![\sqrt[3]{216}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B216%7D%20)
=
![\sqrt[3]{r^3}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Br%5E3%7D%20)
6 = r
Radius is 6 unitsThe formula of the surface area of a hemisphere is:
S.A = 2

r² +

r²
=

(6)² +

(6)²
=2

× 36 + 36

= 72

+ 36

= 108

units² (in terms of

)
≈ 339.12 units²
Surface area = 108
units
Answer: LAST OPTION
Step-by-step explanation:
The complex numbers shown have the form:

By definition, the distance can the distance of the complex number from the origin on the complex plane can be calculated with the formula shown below:

Substitute values of each option. Then:
1) 
2) 
3) 
4)
(CORRECT OPTION)
Let x and y be the two unknown numbers. If one number, say x,is 5 more than 3 times another, say y, the equation would be
x = 5 + 3y
When their difference is 35, x-y = 35, since x is the much larger number here. We substitute x to solve for the smaller number, y.
x - y = 35
(5 + 3y) -y = 35
5 +2y = 35
2y = 35-5
2y = 30
y = 15
The larger number x would be
x = 5 + 3(15)
x = 50
The answer is 50.