Answer:
A.
= 8i
B. 8i + 5i = 13i
C. 8i - 5i = 3i
D. 8i x 5i = -40
Step-by-step explanation:
A. The square root of any negative number would lead to a complex number. Complex numbers are number which consist a complex part denoted by i.
-1 = 
=
= i
Example: 1. What is the square root of -64?
square root of -64 = 
= 
=
x 
= i x 8
= 8i
= 8i
2. find the square root of -25.
= 
= 5i
B. To add two complex numbers, they are considered as algebraic expressions.
Example, the sum of 8i and 5i can be determined as;
8i + 5i = 13i
C. To add two complex numbers, they are considered as algebraic expressions.
Example, the subtraction of 8i and 5i can be determined as;
8i - 5i = 3i
D. To multiply two complex numbers, the complex part is considered.
Example, determine the product of 8i and 5i.
8i x 5i = 8 x 5 x i x i
= 40
= -40 (∵
= -1)
8i x 5i = -40
Answer:
The reasonable domain to plot the growth function is the interval [0,9]

Step-by-step explanation:
In this problem we have a exponential function of the form

where
f(d) is the radius of the algae in mm
d is the number of days
a is the initial value or y-intercept
b is the base
r is the rate of growth
b=1+r
we have

we have

For f(d)=12.81 mm
substitute in the function and solve for d


Apply log both sides




therefore
The reasonable domain to plot the growth function is the interval [0,9]

Answer:
21 cm by 21 cm
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,
441 cm² = x²
This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.
The dimensions of the square are 21 cm by 21 cm.
1. - 2,5(1-2n)-1,5n= - 2,5+5n-1,5n= - 2,5+3,5n
2.no
3.yes
4.no
A. 7 times 5 equals $35
B.No he does not have enough money because he only has $35 and he needs $3 more.