Answer:
Positive
Step-by-step explanation:
Slope: (6-4)/(45-30)
= 2/15
Answer:
2. 27
3. Option C. 3, 5, 9, 17, 33, ...
Step-by-step explanation:
2. The sequence is defined by the explicit function 
Therefore, the 5th term i.e. 
of the sequence.
(Answer)
3. The explicit definition is 
Hence, 
Therefore, the option C is the right sequence. (Answer)
Answer:
Cartesian
z₁= 3 +4*j
z₂= 2 +3*j
Polar
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
Step-by-step explanation:
for the complex numbers z the cartesian form of is
z= x + y*j
then
1) z₁= 3 +4*j (cartesian form)
2) z₂= 2 +3*j (cartesian form)
the polar form is
z= r* e^jθ
where
r= √(x²+y²) → r₁ = √(3²+4²) = 5 , r₂ = √(2²+3²) = √13
and
θ = tan⁻¹ (y/x) → θ₁ = tan⁻¹ (4/3)= 0.927 rad , θ₂ = tan⁻¹ (3/2)= 0.982 rad
then
z₁=5 * e^ (0.927*j)
z₁=√13 * e^ (0.982*j)
We know that
<span>Peter has already delivered </span><span> 2 pizzas in 5 minutes
so
1 hour-------> 60 minutes
</span><span>time left------> 60 minutes - 5 minutes--------> 55 minutes
</span>pizzas to deliver to beat his previous record----------> 20-2------> 18 pizzas
therefore
in the next 55 minutes
if the
<span>average per minute = (18/55) pizzas /minute
</span>Pete beat his previous record
<span>
</span>average per minute > (18/55) pizzas /minute
Pete overcome the previous record
average per minute < (18/55) pizzas /minute
Pete will not match the previous record
If the perimeter of the square is 4x then the domain of the function will be set of rational numbers and the domain of the function y=3x+8(3-x) is set of real numbers.
Given The perimeter of the square is f(x)=4x and the function is y=3x+8(3-x)
We will first solve the first part in which we have been given that the perimeter of the square is 4x and we have to find the domain of the function.
First option is set of rational numbers which is right for the function.
Second option is set of whole numbers which is not right as whole number involves 0 also and the side of the square is not equal to 0.
Third option is set of integers which is not right as integers involve negative number also and side of square cannot be negative.
Hence the domain is set of rational numbers.
Now we will solve the second part of the question
f(x)=3x+8(3-x)
we have not told about the range of the function so we can put any value in the function and most appropriate option will be set of real numbers as real number involve positive , negative and decimal values also.
Learn more about perimeter here brainly.com/question/19819849
#SPJ10
