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)
Please help I need this
Answer:
B
Step-by-step explanation:
false
A triangle on a sphere could have
degrees.
Explain how exercise can benefit your mental and social health
Answer:
exercising is good
Step-by-step explanation:
exercising releases hormones in your body that can make you happier, it also keeps your mind in tip top shape. Also even just being outside of a building would also release hormones in your brain that causes you to lighten your mood!
Answer: Exercise can help with mental health because when your angry sometimes working out can help get rid of anger and if your sad it can help get more motivated and positive about some stuff. It also helps with discipline and respect which can help with your social skills by talking respectfully to others.
A store owner offered a 25% discount off the regular price of a pair of shoes. The amount of the discount is $4.
What is the regular price of the shoes?
A $8
B $12
C $20
D $16
Answer:
D
Step-by-step explanation:
25% of 16 is 1/4x16=4, which leaves D as as your answer
Answer:
d
Step-by-step explanation:
instead of taking away 4 add it until you have 100%
Can someone please explain this to me?
the circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle.
find the measures of the sides KPL and classify it by its sides
K(-3,2),P(2,1), L (-2,-3)
find the length of KP round to nearest tenth
find length of PL
Find length of KL
Answer:
I am so confused. what do you want me to find
Name the type of transformation.
2. Which expression is equivalent to 3(4x + 10 = 2+3)?
Answer: ask ggle it gives you the answer
Step-by-step explanation:
which of the following rations will form a proportion with 2:3
Answer:
12/18
Step-by-step explanation:
Can someone help me with this?
help please i really dont need to fail
Answer:
C.) 96 sq cm
Step-by-step explanation:
I split the polygon into 2 rectangles and 1 triangle.
To find the area of a rectangle do base*height
To find the area of a right triangle do base*height/2
The full explanation is in the picture below
Hope this helps ya!!!
M = -2 x= 3 y=14 Use y=mx+b ,what is b=
Answer:
the b is 20
Step-by-step explanation:
The computation of the b is shown below
Given that
y = mx + b
where
m = -2
x = 3
y = 14
Now placing these values to the above formula to determine the value of b
14 = -2(3) + b
14 = -6 + b
b = 14 + 6
= 20
Hence, the b is 20
We simply applied the above formula so that the correct value could come
And, the same is to be considered
You can buy an 8-pack of soda for $7.92 or a 12-pack for $11.64. Which is the better buy?
Answer:
I would assume the 8-pack to be the answer because:
Step-by-step explanation:
8 ÷ 7.92 = 1.01
12 ÷ 11.64 = 1.03
1.01 < 1.03
Answer:
I believe the better buy is the twelve pack.
Step-by-step explanation:
If you look, 7.92 is closer to 8, which almost makes it 1 dollar per soda, where the 11.64 is farther from twelve. :) i hope this helps you!
(-52 + x – 5) – (–70² – 7x – 3)
Answer:
7x+4846
Step-by-step explanation:
Find the coefficient of x^2 y^3 in the expansion of (-4x+y)^5. Give your answer as an integer.
pls answer corectly
ignore the teacher in the backruond
Sophia went out to eat dinner, and the meal cost $40.00. If Sophia received a 35% discount, what was
total value of the discount?
$12.60
$14.00
$15.20
$16.80
Sub
Answer:
The total value of the discount is $14
Step-by-step explanation:
40 x 0.35 = 14
whats the slope of a perpendicular line that passes through the lines (29,24) and (3,4)
A light bulb consumes 9900 watt-hours in 5 days and 12 hours. How many watt-hours does it consume per day?
Determine the slope of the line represented by the equation y + 7 = -9/4(x – 4) . Represent the slope in decimal form.
Answer:
m=-9/4
Step-by-step explanation:
Use the slope-intercept form y = mx+b to find the slope m
BRAINLIEST TO HONEST ANSWER
In common app ,do teachers have to write letter of recommendation only once?? and I can submit it to any colleges I want??
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me
Answer:
the answers are B,D and E
Step-by-step explanation:
Fine the vertex, the axis of symmetry and the y intercept of the graph
Answer:
vertex: (-3,2) because the vertex would be the center point of the parabola
axis of symmetry: x=-3, the axis of symmetry is the the center/split in the parabola.
y-intercept: y= -1, because this is the point where the parabola crosses through the y-axis
Hi! free one hundred points for anyone who answers also whoever answers ill give brainiest!
Answer:
what is your question?
Step-by-step explanation:
Answer:
Central Pacific
Step-by-step explanation:
built a track from Sacroimento eastward
Select the correct answer. Which expression is equivalent to ^3 square root of 200k^15, if k ≠ 0
Please help I’m in the middle of a test
The equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]
The correct answer is an option (B)
What is algebraic expression?"It is a mathematical statement which consists of numbers variables and some algebraic operations."
What are exponents?"It refers to the number of times a number is multiplied by itself."
For given question,
We have been given an algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex]
We need to find an equivalent algebraic expression to given expression.
We know that the properties of exponents,
for positive integers a, b, n
[tex]\sqrt[n]{a}=a^{(\frac{1}{n} )}\\\\\sqrt[n]{ab}=a^{(\frac{1}{n} )}b^{(\frac{1}{n} )}[/tex]
We can write algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex] as,
[tex]\sqrt[3]{200k^{15}}\\\\=\sqrt[3]{25\times 8\times k^{15}}\\\\=(25)^{\frac{1}{3} }\times (8)^{\frac{1}{3} }\times (k^{15})^{\frac{1}{3} }\\\\=\sqrt[3]{25}\times 2\times (k)^{\frac{15}{3} }\\\\ =2\sqrt[3]{25} \times k^5\\\\=2~k^5~\sqrt[3]{25}[/tex]
Therefore, the equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]
The correct answer is an option (B)
Learn more about the algebraic expression here:
https://brainly.com/question/27911936
#SPJ2
Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute. The winning car, driven by Sam, finished in 185.29 minutes. The previous year's race had a mean finishing time of 110.3 with a standard deviation of 0.129 minute. The winning car that year, driven by Rita, finished in 110.02 minutes. Find their respective z-scores. Who had the more convincing victory?
Answer:
Sam has the more convincing victory with a greater Zscore value
Step-by-step explanation:
Given that :
Year 1:
Mean finish time (m) = 185.64
Standard deviation (s) = 0.314
Sam's time (x1) = 185.29
Year 2:
Mean finish time (m) = 110.3
Standard deviation (s) = 0.129
Rita's time (x1) = 110.02
Zscore = (x - mean) / standard deviation
Sam's Zscore :
(185.29 - 185.64) / 0.314
= - 0.35 / 0.314
= −1.114649
= - 1.115
Rita's Zscore :
(110.02 - 110.3) / 0.129
= - 0.28 / 0.129
= −2.170542
= - 2.171
Sam has the more convincing victory with a greater Zscore value
The entrance fee to a carnival is $8, and it costs $0.50 for each ride. If Sanjay rides 6 rides, how much will he spend in total?
A. $28 dollars
B. $14dollars
C. $11dollars
D. $10 dollars
Answer:
$11
Step-by-step explanation:
0.50 × 6 = 3
3 + 8 = 11
Answer - $11
Hope this helps
Suppose a DVD costs $19 and a CD costs $12. Which inequality represents how many CDs (c) you can buy along with one DVD (d) if you have $67 to spend?
A. 12c + 19 ≥ 67
B. 12c + 19 ≤ 67
C. 19c + 12 ≤ 67
D. 12c + 19 > 67
Consider a system with sampling rate 52,500 samples per second.
(a) Determinethe maximum frequency of the pre-sampled signal if the system utilizes 18% oversampling.
(b) Determine the percentage oversampling if the maximum frequency from part (a) isincreased by 10%.
Answer:
The answer is "[tex]22,246 \ H_z \ \ and \ \ 7.3\%[/tex]"
Step-by-step explanation:
The sampling rate: [tex](f_s) = 52,500 \ \frac{samples}{sec}[/tex]
In point a:
The sample signal frequency = f
They recognize that the id [tex]\geq[/tex] 2f sampling frequency could be returned to its original signal unless the aliase effect is detected elsewhere, Yet under percentage =18%
[tex]\ sampling \ rate = 2 \times 1.18 \times f[/tex]
[tex]\to f = \frac{52,500}{2 \times 1.18}\\\\[/tex]
[tex]= 22,246 \ h_z[/tex]
In point b:
Maximum 22,242 frequency is increased by [tex]10 \ \%[/tex]
[tex]f_a =22,246 \times 1.1[/tex]
[tex]= 24,470.6\\\\=24,471[/tex]
[tex]\ sampling \ rate= x \times 2 \times 24,2471 \\[/tex]
[tex]x= \frac{52,500}{48,942} \\\\x= 1.073\\\\[/tex]
over sampling percentage [tex]= 7.3 \ \%[/tex]
What is the reverse of subtract 16?
Answer:
If you mean the opposite.
The opposite of subtraction is addition.
So plus 16. (+16)
Answer:
Adding 16
Step-by-step explanation:
Subtract opposite is addition so adding 16 is the reverse
