Answer:
heifefhdhduhvndbaiuhdlfd
Step-by-step explanation:
Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) ℒ−1 s (s − 4)(s − 5)(s − 20)
Answer:
[tex]L^{-1} \begin {pmatrix} \dfrac{s}{((s-20)(s-5)(s-4)} \end {pmatrix}= \dfrac{e^{4t}}{12}\begin {pmatrix}e^{16t} - 4e^t+3 \end {pmatrix}[/tex]
Step-by-step explanation:
From the given information the first step to carry out is to find the partial fraction of the given equation; i.e.
[tex]\dfrac{s}{(s-4)(s-5)(s-20)}= \dfrac{A}{s-4}+\dfrac{B}{s-5}+\dfrac{C}{s-20}[/tex]
After finding the partial fraction; we get:
[tex]s= s^2(A+B+C)+s(-2A-24B-25C)+20A+80B+100C[/tex]
By solving this; we get:
[tex]A =\dfrac{1}{12}\ ; \ B = -\dfrac{1}{3} \ ; \ C= \dfrac{1}{4}[/tex]
Thus; the above equation can be re-written as:
[tex]\dfrac{s}{(s-20)(s-5)(s-4)}= \dfrac{\dfrac{1}{12}}{s-20}+\dfrac{-\dfrac{1}{3} }{s-5}+\dfrac{\dfrac{1}{4}}{s-4}[/tex]
Finally as a function of t ;
[tex]L^{-1} \begin {pmatrix} \dfrac{s}{((s-20)(s-5)(s-4)} \end {pmatrix}= \dfrac{e^{4t}}{12}\begin {pmatrix}e^{16t} - 4e^t+3 \end {pmatrix}[/tex]
Evaluate the expression when a = 2 and b=4.
6²-2a
Simplify your answer as much as possible.
I
Please help!!!
Answer:
6
Step-by-step explanation:
hope this will help u for your work
Can someone help and explain how to do this
Answer: yeah
Step-by-step explanation: So what you do is ask a question and then add a picture so people know what the fawk you talkin bout lol.
6x3 – 5x² + x + 1 divided by x + 2
A distribution is positively skewed. Which is the most probable order for the three measures of central tendency
Answer:
The answer is mode, median, mean.
Step-by-step explanation:
From the smallest to the largest we have the mode, median, mean. If a distribution is positively skewed it means that it is right skewed. It tells us that the right tail of this distribution has longer length compared to the left tail. The average, mean would be moved slightly to the left, the mode occurs at the top while the median is in the middle.
The salaries of Kofi and Ama are in the ratio 3:5. If the salary of each is raised by ¢4000, the new ratio becomes 40:57. what is Ama's salary
Answer:
34000
Step-by-step explanation:
New Ratio = 40/57
Gap between numerator & denominator = 17
Original Ratio = 2/3
Gap between numerator & denominator = 1
=> Original Ratio can be restated as 34/51 to make gap of both ratios same.
Difference between two numerators OR denominators = 40 - 34 = 6 or 57 - 51 = 6
If gap is 6, sumit’s original salary = 51
If gap = 4000, sumit’s original salary is :
51/6 x 4000 = 34000
The salary of Amma is given as ¢11724.10.
What is the application ratio and proportion?A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.
Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.
The ratio of the salaries of Kofi and Ama is given as 3 : 5.
After adding 4000 to each ratio the new ratio becomes as 40 : 57.
Suppose the present salaries of Kofi and Ama be 3x and 5x respectively.
Then, as per the question following equation can be written as,
(3x + 4000)/(5x + 4000) = 40/57
=> 57(3x + 4000) = 40(5x + 4000)
=> 200x - 171x = 68000
=> 29x = 68000
=> x = 68000/29
= 2344.82
The Amma's salary is given by,
5x = 5 × 2344.82
= 11724.10
Hence, Amma's present salary is given as ¢11724.10.
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Tell whether the sum is positive, negative, or zero without adding them. -11/12 + 7/12
negative, because 11 is greater than 7. just think about it like a number line :)
Subtract. Express your answer in lowest terms 3/4 - 1/8
Answer:
5/8
Step-by-step explanation:
3/4=6/8
6/8-1/8=5/8
Jeffrey is considering two different car loans. One is for 5 years and one is for 6 years. How many additional payments are required if Jeffrey chooses the 6-year loan?
Answer:
12
Step-by-step explanation:
At a department store, a coat that normally sells for $50 is on sale for $35. What is the percent decrease in the cost?
A. 30
B. 15
C. 35
D. 70
Answer:
the answer is 30
Step-by-step explanation:
Answer: it is 30% because it is half of a hundred and if u double it it would be 70$ instead of 100 that equals 30%
A normally distributed population has a mean of 500 and a standard deviation of 60. Determine the probability that a random sample of size 16 selected from this population will have a sample mean less than 475. A. 0.3251 B. 0.0712 C. 0.7124 D. 0.0475
Answer:
D
Step-by-step explanation:
We start out by calculating the z-score
z = (x-mean)/SD/√n
x = 475
mean = 500
SD = 60
n = 16
Substituting these;
z = (475-500)/60/√16
z = (-25)/60/4
z = -25/15
z = -1.67
So the probability we want to
calculate is P (x < -1.67)
we can use the standard normal distribution table here;
And from the standard normal distribution table;
we have P( x < -1.67) as 0.04746
which is approximately 0.0475
The probability that this population will have a sample mean less than 475 is 0.0475
z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ \mu=mean,\sigma=standard\ deviation,x=raw\ score,n=sample\ size[/tex]
Given that n = 16, μ = 500, σ = 60.
For x < 475:
[tex]z=\frac{475-500}{60/\sqrt{16} } =-1.67[/tex]
From the normal distribution table, P(x < 475) = P(z < -1.67) = 0.0475
The probability that this population will have a sample mean less than 475 is 0.0475
Find out more on z score at: https://brainly.com/question/25638875
You are conducting an experiment to evaluate how the number of hours spent exercising each week affects blood pressure. What is the independent variable in this experiment
Answer:
The question is incomplete, below is the complete question
You are conducting an experiment to evaluate how the number of hours spent exercising each week affects blood pressure. What is the independent variable in this experiment?
The intensity of the exercise.
The amount of exercise each week.
Blood Pressure
The type of exercise.
Answer:
The amount of exercise each week.
Step-by-step explanation:
The two major kinds of variables in a scientific experiment are the independent and dependent variables.
The independent variable is the variable whose values are completely under the complete manipulation of the experimenter. The experimenter decides what value to assign to the variables in this category and the effect of the manipulation of the independent variable determines the outcome variable. In this example, the amount of exercise each week, which is determined by the number of hours exercised each week is subject to the experimenter, hence it is the independent variable
The dependent or outcome variable is the variable whose values depend on the effect of the manipulation of the independent variable. This variable is not directly subject to the manipulation of the experimenter. In this example, the blood pressure gotten after the exercise is the outcome variable.
The variables in an experiment can be dependent or independent
The independent variable in the experiment is: the amount of exercise each week.
From the question, the parameters are:
Exercise intensity Amount of exercise each week. Blood Pressure Type of exercise.
For a variable to be considered as the independent variable, then the variable is not influenced by other variables or parameters.
Within the scope of this question, the independent variable is the weekly amount of exercise
Read more about variables at:
https://brainly.com/question/3764906
What does 10.98+4.06
Answer:
15.01
Step-by-step explanation:
10.95+4.06
Answer:
15.01
Hope that helps :-)
Can yall help me please, I'm not sure: #6: Pizza-N-More sells pizza and wings. Each pizza sells for $8.00 and each order of wings sells for $5.00. Last weekend, Pizza-N-More sold a total of 85 items and earned $569. Which system of equations can be used to find the number of pizzas, p, and the number of orders of wings, w, sold last weekend?
Answer:
8p+5w=569. And I would assume it would be p=85-w. Comment if you need an explanation.
Step-by-step explanation:
A buyer purchases 20% of the 12,000 widgets in a warehouse inventory. The next day, another buyer purchases 10% of the remaining widgets. How many wedges are left in the warehouse?
Answer:
600000
Step-by-step explanation:
I'll Give You Brainliest for best answer! Please Help!
The sum of three consecutive numbers is 72. What is the smallest of these numbers?
Answer:
Therefore, the three consecutive numbers whose sum is 72 are 23, 24, and 25, and 23 is obviously the smallest.
Step-by-step explanation:
Hope this helps : )
HELP MEEEEEEEEEEEEEE PLEASE
Answer: The answer is A (32)
Step-by-step explanation:
you multiply 8 times 4 and you get 32.
Plz help ASAP
Fred deposits $3000 into a savings account. After three years, his bank account balance reads $4500. What is this percent change of the money in the account?
A. 33% decrease
B. 50% increase
C. 33% increase
D. 50% decrease
Answer:
c.33% increase
Step-by-step explanation:
4500÷3 because 3000 goes in to 4500 3 times which is 33% increase
Is this relation a function? {(−1, 0), (−1, 2), (1, 5), (2, −8)}
Answer:
No, it is not a relation function
Step-by-step explanation:
Answer:
No, it is not a function
Step-by-step explanation:
because at least one input maps to more than one output.
-1 is giving more than one output. (-1,0) (-1,2)
for it to be a function, -1 must have only ONE output! :D
21. Complete the Proof.
Point P has coordinates (2,5), after a translation, the coordinate of its image p' are (4,1) which of the following best describes the translation
Answer:
can you show me the graph?
Step-by-step explanation:
Debra bought 10 games at GameStop. She bought 4 new ones that cost $19.99 each and 6 used ones that cost $4.99 each. Estimate how much money Debra spent on games
Answer:
Add $19.99 from 4.99 and subtract 10-4-6=
Step-by-step explanation:
2 numbers that go into 79
Answer:
79 and one
Step-by-step explanation:
6 more than the product of 5 and a number
6+5x
Step-by-step explanation:
A mini fruit juice box contains 4 fluid ounces of juice. You need 2 1/2 quarts of fruit juice. How many mini fruit juice boxes will you need?
Answer:
1 3/5, hope I helped!
Step-by-step explanation:
4 divided by 2 1/2
4/1 divided by 5/2
4/1 times 2/5
8/5
1 3/5
8/5 mini fruit juice boxes will be needed
It is given that a mini fruit juice box contains 4 fluid ounces of juice, we need to find how many mini fruit juice boxes will be needed for 2 1/2 quarts of fruit juice.
What is 1 quart?
A unit of US customary system used in liquid measure, equal to 2 pints or 32 ounces
4 divided by 2 1/2
4 divided by 5/2
4 × 2/5
8/5
Therefore 8/5 mini fruit juice boxes will be needed for 2 1/2 quarts of fruit juice
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solve this one-variable linear equation
7h-5(3h-8)=-72
Answer:
h=14
Step-by-step explanation:
7h-5(3h-8)=-72
Combine Like Terms
-8h+40=-72
Subtract 40 on both sides
-8h+40 -40 = -72 -40
Then we get
-8h/8=-112/8 so we divide by 8
h=14
what is 48934 times 3456734= ?
The following are the number of departmental stores in 10 cities: 35, 27, 24, 32, 42, 30, 34, 40, 29 and 38.If we want to select a sample of 15 stores using cities as clusters and selecting within clusters proportionalto size, how many stores from each city should be chosen? (Use a starting point of 4).
Answer:
24
Step-by-step explanation:
:) hope this help
is a negative reacting decimal rational or irrational ?
What is the value of y?
y + 10
50"
A. 50°
B. 40°
C. 30°
D. 60°
Answer:
B) 40
Step-by-step explanation:
[tex]interior - angle - of a triangle - is - always - 180\\\\2y + (y + 10) + 50 = 180\\2y + y + 10 + 50 = 180\\3y + 60 = 180\\subtract-60-from-both-sides\\3y = 120\\y = \frac{120}{3}\\y = 40[/tex]
Answer:
B)
Step-by-step explanation:
a p ec