Answer:
the critical points are (0,0) , (0, 20), (12, 0) , (4,16)
Step-by-step explanation:
To consider the autonomous system
[tex]x' =x (12 -x - \dfrac{1}{2})[/tex]
[tex]y' = y( 20 -y - x)[/tex]
The critical points of the above system can be derived by replacing x' = o and y' = 0.
i.e.
[tex]x' =x (12 -x - \dfrac{y}{2}) = 0[/tex]
[tex]\dfrac{x}{2} (24 -2x - y) = 0[/tex]
x = 0 or 24 - 2x - y = 0 ----- (1)
Also
[tex]y' = y( 20-y-x) = 0[/tex]
y( 20 -y - x) = 0
y = 0 or 20 - y - x = 0 ----- (2)
By solving (1) and (2);
we get x = 4 and y = 16
Suppose x = 0 from (2)
y = 20
Also;
if y = 0 from (1)
x = 12
Thus, the critical points are (0,0) , (0, 20), (12, 0) , (4,16)
19 + 11 - 12² ÷ 3 (12 - 9) · 11)) - 7 =
Use PEMDAS for this.
Also it's a made up question
PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
First, subtract the numbers in the parentheses, then multiply by 11.
(12 - 9) = (3)
3 x 11 = 33
19 + 11 - 12^2 ÷ 3(33) - 7
Now, just multiply 33 by 3, and then square 12 (12 x 12).
19 + 11 - 144 ÷ 99 - 7
Now, you can divide 144 by 99, this is an infinite number, so..
144 ÷ 99 = 1.455
19 + 11 - 1.455 - 7
Finally add, then subtract.
30 - 1.455 - 7
28.545 - 7
The final answer is 21.545.
Need help please
I haven a picture and seems like no one wants to help I need it please I will mark you the brainiest
Answer:p
pn gv=0753vc
Step-by-step explanation:
The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3408 miles, with a variance of 249,001. If he is correct, what is the probability that the mean of a sample of 36 cars would be less than 3245 miles
Answer:
The probability that the mean of a sample of 36 cars would be less than 3245 miles
P(X⁻≤3245) = 0.975
Step-by-step explanation:
Step(i):-
The mean number of miles between services
μ= 3408 miles
The Variance of miles between services
σ² = 249,001
σ = √249,001 = 499
Let 'X' be a random variable in a normal distribution
Given sample size 'n' =36
Step(ii):-
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
Z = -163/83.16 = 1.96
The probability that the mean of a sample of 36 cars would be less than 3245 miles
P(X⁻≤3245) = P(Z≤1.96)
= 0.5 + A(1.96)
= 0.5 + 0.4750
= 0.975
Final answer:-
The probability that the mean of a sample of 36 cars would be less than 3245 miles
P(X⁻≤3245) =0.975
No bother to find or locateNope not found nope
y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(
Answer:
Step-by-step explanation:
Vertex
What should I write
Answer:
4x
Step-by-step explanation:
You multiply the two numbers together:
Top left, purple tile: 3x(x) = 3x^2
Top right, pink tile: 4(x) = 4x
Bottom left, yellow tile: 3x(2) = 6x
Bottom right, blue tile: 4(2) = 8
Basically u multiply the variable above it and the variable at its left
In metrics, the meter is the standard unit of: mass distance volume length
HELP FAST WILL MARK BRAINLYEST
Answer:
It should be -7
Step-by-step explanation:
since it starts from D to B in the number line
Write the equation for the relationship 19
Answer:
Did you mess up the question? This doesn't make any sense. If you post a new question I can help! Otherwise uhhh x=9*2 ???
Ava plays on the softball team at her school. The team won 8 of its first 12 games. At that rate, how many games will Ava's team win if it plays 60 games in all?
Answer:
She wins 40 games
Step-by-step explanation:
I'm not the best at explaining but 5x12=60 so then we multiply 8 by 5 aswell and bam we have 40.
PLEASE ANSWER THIS ONE!!!
Answer:
6:5
Step-by-step explanation:
i think this is it as I square rooted it and go that
HELP HELP HELP HELP HELP
Answer:
+80=0 at the end of the thing
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
-9+9= 18
9x9= 81
they have to use the same number, but one is added and the other is multiplied
Add. Express each sum in simplest form : 5/9+1/2
Answer:
19 /18 or 1 1/18
Step-by-step explanation:
first you need to make the denominators the same
10/18+9/18
then add the numerations together to get
19/18 or 1 1/18
I hoped this helped :)
Fill in the blanks for the explicit formula.
-8, 22, 52, 82, ...
Answer:
it is 30
Step-by-step explanation:
i took the test so please mark me the brainlest
please help UwU
also hope your day is going GREAT >w
Answer:
B is the answer for the question
B IS YOUR ANSWER LOL.
Please answer this is my last assignment for the semester
Answer:
It's C
Step-by-step explanation:
Multiply the length by the width and you are going to do that by multiplying 4x by 2x and 4 and also multiply -6 by 2x and 4. and then you simplify and you should get the equation C
Zelda rode her bike at a steady rate of 12 miles per hour for 3
Answer:
36miles
Step-by-step explanation:
Given parameters:
Rate = 12mph
Time = 3hr
Unknown:
Distance = ?
Solution:
The given rate amount is the speed. Speed is the distance divided by the time.
It is mathematically expressed as:
Speed = [tex]\frac{distance}{time}[/tex]
Distance = Speed x time
Distance = 12 x 3 = 36miles
Gianna cuts a ribbon into equal pieces as shown below. She uses 4 pieces of the ribbon for a project. What fraction of the ribbon does Gianna use for the project? Explain how you found your answer.
a rental car company charges drivers a flat fee to rent a car plus $0.25 for each mile they drive. If a drivers pays $100 drives 160 miles , which equation can he use to find his total cost y in terms of the number of miles driven ?
Wen Naey started mkkdle sehool, she was 60 inches tall, When she started high school, she was 65 inches tal. V/h
was the iNercent ehange n her height?
O6Nrcent crease
O9INcent icrease
010Nercent crease
O0Nereent crease
8z - 13 = 5z + 8 The Zs are variables
Express 76.5% as a decimal and a fraction
Write the equation of the line that is parallel to the original equation and passes through the point
(12, 6).
Answer:
12
Step-by-step explanation:
The color reference provided by the automotive manufacture is 44.21%. Does this known value match the measured value at the 95% confidence level
Answer:
This known value does not match the measured value at the 95% confidence level.
The 95% confidence interval for value is calculated as 42.92 to 43.78%,
Step-by-step explanation:
The complete question is:
Police have a hit-and-run case and need to identify the brand of red auto paint. The percentage of iron oxide, which gives paint its red color, was determined to be 43.35 ± 0.33% by one method of analysis using five measurements. The color reference provide by the automotive manufacture is 44.21%. What can you conclude about whether the sample matches the reference at a 95% confidence level?
Student's t test is used to compare the two values .
Here n=5
Degrees of freedom =ν= n-1= 5-1=4
The value from t- table for 4 d.f at 95 % confidence interval is 2.776
The test statistic is
x`± t ∝/2(v). S/√n
43.35 ± (2.776)(0.33)/√5
= 43.35 ± 0.43
= 43.78, 42.92
Here the 95% confidence interval for μ calculated is 42.92 to 43.78%, where as color reference provided by the automotive manufacture is 44.21%.
This known value does not match the measured value at the 95% confidence level.
what is the product in simplest form? -8/9 times 5/6 All the ANSWERS:
-1
-13/15
-20/27
-1/5
A plumber charges $80 for a house call and $25 per hour for his services. Which of the following is a linear model of his charges.
Answer:bals
Step-by-step explanation:25(number of hours worked) +80$ for initial charge
Answer:
25x+80
The number of hours is x for services
Find f(-2) for f(x) = 3 • 2x
Answer:
A
Step-by-step explanation:
2^-2 is -4 I believe and then multiplied by three would be -12
Find the probability that the number of both cubes is greater than 4.
Answer:
B
Step-by-step explanation:
HELP PLEASE.............
I'm pretty sure it is the fourth answer.
HELP!!!! Read the following story carefully, and then complete the activities that follow.
"Good-bye, Mom," Tino cried as he rushed out the door. Tino had his new fishing pole with him and was anxious to try it out.
Tino Kanaha (kan' ah hah) was a Hawaiian boy. He had just turned twelve the day before and had received the fishing pole as a gift from his father.
Tino's house was about a half mile from the cliff overlooking the leeward side of Maui. Many times Tino had climbed down to the rocks below and looked for seashells while his father fished for aku.
"Now it's my turn," thought Tino as he scurried out onto one of the rocks, "and I get to do it all by myself!"
"Aku, here I come!" yelled Tino excitedly as he cast his bait into the surf.
An hour later, Tino heard someone call his name. He looked up and saw his good friend, Kona. "Have you caught anything?" Kona yelled.
"Oh, hi, Kona," Tino said disappointedly. "Wait for me, and I'll be right up."
As Tino reeled in his line, he noticed the waves were much bigger than they had been before. "The wind is stronger, too, " thought Tino as he glanced at the darkening sky.
"We'd better hurry home," Tino said to Kona as he reached the top of the hill. The two boys ran as quickly as they could. They even took the short cut through the sugar cane field to save time.
Kona raced into his yard and, without stopping, he yelled, "Good-bye, Tino! I'll see you tomorrow!"
The first big drops of rain began to fall as Tino reached the front door of his house.
"Oh, I'm glad you're home!" Mrs. Kanaha said. "It is beginning to rain very hard!"
"The storm must be the reason the fish weren't biting," Tino said as he put his fishing pole into the rack on the porch, "but I'll try again tomorrow."
Give two details that are clues that Tino did not catch any fish.