Answers
Answer:
The answer is "[tex]x_k= -\frac{9}{16} (-2)^k + \frac{9}{16} 2^k +\frac{3}{8} k\times 2^k\\\\[/tex]"
Step-by-step explanation:
[tex]\to F(Z)=\frac{3z(z-1)}{z^3-2z^2-4z+8}\\\\\to \frac{F(Z)}{z}=\frac{3z(z-1)}{z(z^3-2z^2-4z+8)}\\\\\to \frac{F(Z)}{z}=\frac{3(z-1)}{(z^3-2z^2-4z+8)}\\\\\to \frac{F(Z)}{z}=-\frac{9}{16} \frac{1}{z+2} + \frac{9}{16} \frac{1}{z-2} +\frac{3}{4} \frac{1}{(z-2)^2}\\\\\to F(Z)=-\frac{9}{16} \frac{z}{z+2} + \frac{9}{16} \frac{z}{z-2} +\frac{3}{4} \frac{z}{(z-2)^2}\\\\\to x_k= -\frac{9}{16} (-2)^k + \frac{9}{16} 2^k +\frac{3}{8} k\times 2^k\\\\[/tex]
Related Questions
Find x Question is attached:
PLease I need the answer fast!!!
Answers
Answer:
Step-by-step explanation:
(-3)ˣ⁻² = -243
(-3)ˣ⁻² = (-3)⁵
x-2 = 5
x = 7
THE amusement park won't allow kids to ride roller-coasters until they are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows about 1/2 inch every month. How many months will it be until Michael can read a roller coaster? Please show me the individual steps?
Answers
Answer: It will one year (or 12 months) before Michael is able to ride the roller coaster.
Step-by-step explanation: Because he grows a half inch every month, this means that It takes him two months to grow one full inch. Because he has to grow six inches, you just multiply 2 by 6 to get 12 months or one year.
Answer:
48-42=6, which is how much Michael needs to grow.
1/2x=6, where x is the number of months
x = 12 months.
1 year = 12 months so the answer is one year.
A rectangle is 24.6 m long and 8.65 m wide what is the area of the retangle
Answers
Answer:
212.79m
Step-by-step explanation:
A=L×W
A=24.6m×8.65m
A=212.79m
A line passes through the points (5,22) and (7,24). Write a linear function rule in terms of x and y
for this line.
Answers
The sum of 2 and the product of 4 and m
PLSSS HELP 50 pointsss
Answers
Answer:
1 and 2
Step-by-step explanation:
sum of 2 is 1+1 and product of 4 is 2x2
I NEED HELP NOW PLZ!!!
Answers
Answer:
c
Step-by-step explanation:
x=-8
y= -5
therefore y=-5
and c is the answer
Y=-5
X=-8
Y=5/8 x
-5=5/8 (-8)
Which is
-5=-5
Todd had 6 gallons of gasoline in his motorbike. After driving 150 miles, he had 3 gallons left. Compute the slope, or rate of change in the amount of gasoline.
The rate of change is __ miles per gallon.
Answers
Answer:
50 miles per gallon, 50/1
Step-by-step explanation:
A) 1080°
C) 720°
B) 1800°
D) 1620
Answers
Answer:
D- I hope I helped you. Good luck.
Which expression represents the perimeter of the
trapezoid?
5x
2x - 1
2x + 3
6x +4
11x + 4
O 4x + 2
15x + 6
13x + 8
Answers
5x + 2x+3 = 7x+3
6x+4 + 7x+3 = 13x + 7
13x+7 + 2x-1 = 15x+ 6
Which of the following best describes term response variable
Answers
The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.
The variable may change as that of the explained variable modifications.It's (dependent variable), which wishes to predict and explain is a response variable.An explanatory variable explains the changes.It can be anything that affects the variable response.It was only on the y-axis always (the vertical axis).Learn more:
brainly.com/question/5598457
A $329.50 gaming system goes on sale for 60% off. You have a coupon for an additional 40%
off the sale price. Does this mean you will get the gaming system for free? Why or why not?
Answers
Answer:
no
Step-by-step explanation:
no because if you multiply $329.50 by .6 you get $197.7, then with the additional 40% (.4) you end up having to pay $79.08
How many pairs of intersecting lines are shown?
D
a. 24
b. 16
c. 8
d. 4.
Answers
Arithmetic mean of nine observations is calculated as 38. But in doing so, mistakenlythe observation 27 is taken instead of 72. Find the actual mean of the data.
Answers
Answer:
Actual Mean = 43
Step-by-step explanation:
Given Mean = 38
No of observations = 9
we know,
Mean = Sum / N
38 = Sum/ 9
Sum = 38 x 9 = 342
Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.
New sum = 342 - 27 = 315 again, 315 + 72 = 387
The no. of observations stays the same.
Actual mean = New Sum / N
= 387/9
=43
Step-by-step explanation:
arithmetic mean =38
n=9
mean=sum/n
sum=mean×n=38×9=342
mistakenly observation 27 is taken instead of 72
new sum becomes =342+72-27=387
now
new mean =new sum/n=387/9=43
the actual mean of the data is 43.
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answers
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
I was training the cross country team. Every week I expected the students to run 12 3/4 miles every week. If the kids ran
for 5 days that week, how many miles would they need to run each day to meet my expectations ?
Answers
Answer:
x = 2.55 miles per day
Step-by-step explanation:
In English: 5 days * 'x' miles per day = 12 & 3/4 miles total
In algebra: 5x = 12.75
x = 12.75 ÷ 5
x = 2.55 miles per day
A store has clearance items that have been marked down by 35%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?
Answers
Let’s pretend something at the store is $100. (It will save some math later)
100 - 35% leaves 65% (0.65 as a decimal)
100 x 0.65 = 65
That’s the price after the first discount. If we take 45% off of the sale price, we’ll be left with 55%, 0.55
65 x 0.55 = $35.75
Now normally you’d compare 35.75(sale price)/ 100(original price) to % off (x)/100, but doe this example, it’s unnecessary.
35.75/100 = x%/100
o
A toy rocket is shot vertically into the air from a launching pad 8 feet above the ground with an initial velocity of 72 feet per
second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t) = - 1612 + 72t + 8. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)
Answers
Answer:
1845 totaly i help yo to up grade
Step-by-step explanation:
im help :)
i'm a little bit confused about this question.
Answers
Answer:
4
Step-by-step explanation:
1 3 4 . 0
thousand hundred ones
Gabrielle is 13 years older than Mikhail. the sum of their ages is 113. what is mikhails age?
Answers
Step-by-step explanation:
g=m+13
g+m=113
use substitution
Answer:
50 years old
Step-by-step explanation:
Let's say that Mikhail's age is x.
If so, Gabrielle's age would be 13 years older, therefore x + 13
We know that the sum of their ages is 113, so we can form this equation:
x + x + 13 = 113
Solving this equation, we get:
x + x = 100
2x = 100
x = 50
50 is Mikhail's age, so Gabrielle's age is 63
Find the size of angle XYZ. Give your answer to 1 decimal place.
Answers
Answer:
45
Step-by-step explanation:
Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps
Step-by-step explanation:
1. Label each side of the Triangle
Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).
2. Cross out the 'useless' side
Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.
3. Decide which method is correct
We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.
4. Know the formula
Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.
Cos( ) = A/H
5. Substitute in your numbers
Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:
Cos(x)
Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.
Our formula will look like this:
Cos(x) = 7/12
6. Reverse it and calculate
Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:
cos-^1(7/12)
The result should say 54.31466529.
7. Round
Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,
our answer is 54.3 degrees.
Need help please confused
Answers
Answer:
a. 11.6 (rounded to nearest tenth)
b. Yes
Step-by-step explanation:
a²+b² = c²
6²+10² = c²
36²+100 = c²
136 = c²
√136 = √c²
11.6 = c
b. because 11.6 is the hypotenuse (longest side length) and there is 6 and 10 as the shorter leg lengths.
Find the area of each figure. Round to the nearest tenth if necessary
Answers
38.6
step by step:
A company that sells umbrellas was
planning to
send a total of 1424 umbrellas in 4 equal shipments. How many umbrellas would be in 3 of the shipments
?
Answers
An arrow is shot up in the air from a height of 3 feet. The height of the arrow, in feet,can be modeled with the function h= -2t^2+12t+3where his the height in feet and is the time in seconds.Enter the average rate of change, in feet per second, from 1 second to 4 seconds
Answers
Answer:
The average rate of change is two feet per second.
Step-by-step explanation:
The height of an arrow shot up into the air from a height of three feet is given by the function:
[tex]h(t)=-2t^2+12t+3[/tex]
And we want to find its average rate of change from one second the four seconds.
The average rate of change is synonymous with the slope. Therefore, we can evaluate the height of the arrow after the first and fourth seconds, and find the slope between them.
After the first second, the height of the arrow is:
[tex]h(1)=-2(1)^2+12(1)+3=13[/tex]
And after the fourth second, the height of the arrow is:
[tex]h(4)=-2(4)^2+12(4)+3=19[/tex]
This yields two points: (1, 13) and (4, 19).
The slope between them is:
[tex]\displaystyle m=\frac{19-13}{4-1}=\frac{6}{3}=2[/tex]
Therefore, the average rate of change from one second to four seconds is two feet per second.
6.
Reason quantitatively. A local bakery sells bagels
for $0.90 each. Consider a function for which the
input is the number of bagels purchased and the
output is the total cost of the bagels. What are the
domain and range in this situation? Explain.
Answers
Which triangle makes this statement true?
Answers
it is not A, B, or C, i don't see D, but that would be the answer..
Answer:
D
Step-by-step explanation:
At a summer camp, there are 15 counselors, 5 cooks, and 120 campers. 5 points
What is the ratio between the number of counselors and the number of campers for this summer camp?*
1:4
1:6
1:8
1:12
Pls answer asap!!
Answers
PLEASE HELP ON ANNYY QUESTION I BEG YOU!!
ILL GIVE U THE HIGHEST RATED!!
Answers
HELP PLEASE ASAP What is the length of the diagonal of the square shown below?
Answers
Answer:
C) diagonal = 5√2
Step-by-step explanation:
diagonal² = 5² + 5²
diagonal² = 50
diagonal = √50
diagonal = √25x2
diagonal = 5√2
Answer:
C) diagonal = 5√2
Step-by-step explanation:
diagonal² = 5² + 5²
diagonal² = 50
diagonal = √50
diagonal = √25x2
diagonal = 5√2
work out 2 1/7 + 1 1/4
Answers
Answer:
95/28
Step-by-step explanation: