Answer:
C
Step-by-step explanation:
We have: (I rewrote the function)
[tex]f(z_n)={z_{n-1}} ^2+c[/tex]
Given that:
[tex]\displaystyle c=2-3i \text{ and } z_0 = 1 + 2 i[/tex]
The first iterate will be:
[tex]\displaystyle \begin{aligned} f(z_1)&=(z_0)^2+c \\ &=(1+2i)^2+(2-3i) \\ &= (1+4i+4i^2)+(2-3i) \\ &=1+4i-4+2-3i \\ &=-1+i \end{aligned}[/tex]
The second iterate will be:
[tex]\begin{aligned}f(z_2) &=(z_1)^2+c\\ &=(-1+i)^2+(2-3i) \\&= (1-2i+i^2)+(2-3i) \\&=1-2i-1+2-3i \\&=2-5i \end{aligned}[/tex]
And the third iterate will be:
[tex]\begin{aligned} f(z_3)&=(z_2)^2+c\\ &=(2-5i)^2+(2-3i) \\ &=(4-20i+25i^2)+(2-3i) \\ &=4-20i-25+2-3i \\ &=-19-23i \end{aligned}[/tex]
Hence, our answer is C.
I could really use help on this, thanks frineds.
Answer:
awnser is 3 i think srry if im wrong
Step-by-step explanation:
Answer:4
Step-by-step explanation:
Which of the following options have the same value as 25%, percent of 64?
Choose 2 answers:
(Choice A)
A
25 6425⋅6425, dot, 64
(Choice B)
B
\dfrac{25}{100}\cdot 64
100
25
⋅64start fraction, 25, divided by, 100, end fraction, dot, 64
(Choice C)
C
0.25\cdot 640.25⋅640, point, 25, dot, 64
(Choice D)
D
64\div \dfrac{25}{100}64÷
100
25
64, divided by, start fraction, 25, divided by, 100, end fraction
(Choice E)
E
25\div \dfrac{64}{100}25÷
100
64
Answer: 96/100⋅25 and 0.96⋅25
Step-by-step explanation: i did it on khan academy :D
Answer:
choice A
choice c
Step-by-step explanation:
To pass inspection, a new basketball should bounce back to between 68% and 75% of the starting height. A new ball is dropped from 6 feet and bounces back 4 feet 1 inch. does the ball pass inspection? Explain
To pass inspection, the ball must bounce back to between 68% and 75% of the starting height. written as a decimal, the ball must bounce between a low of __ feet and height of __ feet.
Answer: Yes, it does. It must bounce of a low of 4.08 feet and a high of 4.5 feet
Step-by-step explanation:
If you have a jumbo pack of gum and 4 friends ask for 8 How much gum do you have left?
(random questions)
Answer:
5
Step-by-step explanation:
37 - 4(8)
37 - 32
5
Hope this helps! May I please have brainliest? :)
Answer:
solution given:
total pack of gum=x gums
If 4 friends ask for 8=8×4gum= 32gums
Remaining gums=x-32gums
1. Are the triangles similar?
2. If so, complete this statement:
△TRS ~ △ [QPM, QMP, PMQ]
by SSS, AA, SAS [choose one]
Answer:
YES BY SAS
Step-by-step explanation:
20/16=5/4
25/20=5/4
I need Help can someone please help me with this. Write an equation of a function with each domain: A. [2, [infinity]) B. (-[infinity], [infinity]) C. (2, [infinity])
Step-by-step explanation:
A.
[tex]f(x) = \sqrt{x - 2} [/tex]
B.
[tex]g(x) = 2x [/tex]
C.
[tex]h(x) = \frac{1}{x - 2 \: } \: \: \: \: h(x) = x where x is greater than zero
help pls no rip me off for points
Answer:
B.
Step-by-step explanation:
4*s = 4s
4*3 = 12
Use the property of distribution
hope this helps :)
Answer: 4 (s + 3)
Step-by-step explanation:
The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the
exponential equation?
Sorry for tje late answer but it is 150 * 0.08^x
The exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].
What is depreciation?Depreciation is the rate by which the value of an object reduces with respect to time. it is given by the formula,
[tex]A = P(1-\dfrac{r}{100})^t[/tex]
where A is the value of object after t period of time, P is the principal amount, r is the rate of depreciation, and t is the time period.
We know the formula of the depreciation, Also, the initial value of the car is $15,000, and the rate of depreciation r that is 8% per year. Therefore, the function of the depreciation of the car can be written as,
[tex]A = P(1-\dfrac{r}{100})^t\\\\A = 15000(1-\dfrac{8}{100})^t\\\\A = 15000(1.08)^t[/tex]
Hence, the exponential equation that represents the value of the car is [tex]A = 15000(1.08)^t[/tex].
Learn more about Depreciation:
https://brainly.com/question/3023490
I need these answers now please !!
24.5 is 33 1/3% of what number?
Answer: 73.5
Step-by-step explanation:
The percent 33 1/3% represents 1/3 of 100%. We can multiply 33 1/3% by 3 and get 100%. We need to find what 24.5 is 33 1/3% of.
Since 1/3 x 3 = 100%, then 24.5 x 3 must equal the number we're trying to find.
24.5 x 3 = 73.5.
Therefore, 24.5 is 33 1/3% of 73.5. I hope this helps, and good luck!
75% of b is 11 what is b
Answer:
14.67
Step-by-step explanation:
6-(y-2) What is the answer?
Answer:
-y+8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
6-y+2=0
8-x=0
-x=-8
x=8
Pattie buys a handbag that costs 240 dollars and a scarf that costs 86 dollars. If sales tax is 7%, what is the total purchase price including tax?
Answer:
$348.82
Step-by-step explanation:
240 +86=326
326× 7%= 22.82
326+22.82= $348.82
Answer:
$348.82
Step-by-step explanation:
Jenny used 15 centimeters of tape to wrap 5 presents. How much tape will Jenny need in all if she has to wrap 10 presents? Assume the relationship is directly proportional.
Answer:
30
Step-by-step explanation:
15cm for 5
5 x 2=10
15 x 2 = 30
How many two-dimensional objects does the
object shown above have?
A. 3
B. 4
C. 8
O D. 5
Answer:
d
Step-by-step explanation:
PLEASEE I WANNA PASS PLEASE HELP!!!!
Which of the following functions represents f(n), the number of small squares in figure n?
A. f(n) = (n + 1)^2 – 1
B. f(n) = 2n^2 + 1
C. f(n) = n^2 – 1
D. f(n) = (n + 1)^2 + 1
Answer: i think its D or A.... :)
Step-by-step explanation:
A triangle has sides that measure 9, 22, and 20. Is the triangle a right triangle?
Answer:
no
Step-by-step explanation:
Workout 2/7+1/5 and then simplyfy it
Answer:17/35
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/7, 1/5) = 35
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(2/7x5/5)+(1/5x7/7)=?
Complete the multiplication and the equation becomes
10/35+7/35=?The two fractions now have like denominators so you can add the numerators.
Then:10+7
——- =17/35
3
This fraction cannot be reduced.
Therefore:2/7+1/5=17/35
24-10x=9
What does x equal to?
Jorge has 24 ounces of baking powder to use for baking loaves of bread. if each loaf of bread requires 1/4 of an ounce of baking powder, how many loaves of bread will Jorge be able to bake?
Answer:
96 loaves of bread
Step-by-step explanation:
Total baking powder = 24 ounces
Baking powder used per loaf of bread = 1/4 of an ounce
loaves of bread will Jorge be able to bake = Total baking powder / Baking powder used per loaf of bread
= 24 ÷ 1/4
= 24 × 4/1
= 96 loaves of bread
loaves of bread will Jorge be able to bake = 96 loaves of bread
Jake bought 3 drawing pens for $8.07. Each pen costs the same amount. About how much did he spend for one pen? * 2 points
Given:
Jake bought 3 drawing pens for $8.07.
Each pen costs the same amount.
To find:
How much did he spend for one pen?
Solution:
Let x be the cost of each pen. Then
Cost of three pens = 3x
Jake bought 3 drawing pens for $8.07.
[tex]3x=8.07[/tex]
Divide both sides by 3.
[tex]x=\dfrac{8.07}{3}[/tex]
[tex]x=2.69[/tex]
Therefore, he spend $2.69 for one pen.
Marie has a box that contains only red and blue marbles in a ratio of 5:45. What percent of the marbles in the box were red?
Answer:
10 percent
Step-by-step explanation:
t=ratio
5x:45x
total=45x+5x=50x
5x/50x=1/10=10 percent
55% of what number is 33%?
Answer:
33% is 55% of 0.6
Step-by-step explanation:
yUH
A triangle is cut out of a square whose length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
72ft²
Step-by-step explanation:
A = ½ (12*12)
A = ½ * 144
A = 72ft²
4y-4x=28 in slope-intercept form
Answer:
y=x+7
Step-by-step explanation:
c/- 4 = 16
please help
can you please help me??
Math club has 18 members. Each member pays
$16.40 each month. 11 members have already
paid. How much money needs to be collected?
HELP!!
If we changed the -3 to a 3 in the equation, what would happen to the graph?
Answer:
It would change the y-intercept, so if it turned into a 3, the slope would just go higher at the beginning.
Step-by-step explanation:
Hope it helps!
The graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The equation y = 2ˣ⁻⁴ - 3 is an exponential function that has been shifted 4 units to the right and 3 units down from the basic exponential function y = 2ˣ.
If we change the -3 to a 3, we get the new equation:
y = 2ˣ⁻⁴ + 3
This new equation represents the original exponential function shifted 4 units to the right and 3 units up.
Therefore, the graph of the new equation y = 2ˣ⁻⁴ + 3 will have the same shape as the original graph, but it will be shifted 4 units to the right and 3 units up.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
Calculate angle y
Can somebody work this out?
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110