Answer:
a: cooperative.
b: competitive.
c: cooperative.
d: competitive.
Step-by-step explanation:
The rate of change:
dx/dt
gives information about how the quantity x changes as a function of time.
If dx/dt > 0, the population x increases as the time passes.
if dx/dt < 0, the population x decreases as the time passes.
Now, let's analyze the options:
a) dx/dt= -5x + 2xy
in this case, x represents one population and y represents the other population. Where x and y should only be positive numbers because we can not have a negative population.
Notice that in this case, if y increases, then dx/dt increases.
Then we have cooperative species because the population y helps the growth of population x.
b) dx/dt = 4*x - 2*x*y
Similar to the previous case, but now as the value of y increases, the value of dx/dt decreases, then we have competitive species.
c) dy/dy = -4*y + 3*x*y
Notice that now we have the rate of change of y, in the right side, we can see that as x increases, also the rate of change dy/dt.
Then the population x helps to increase the population y, which means that the species are cooperative.
d) dy/dt = 2*y - x*y
Now as x increases, the value of dy/dt decreases, then these species are competitive.
a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?
Answer:
15 minutes
Step-by-step explanation:
400 to 2000(x5)
so, 3 times 5 is equal to 15 min
From a board 8 feet in length, Emmet cut two 2 ⅓ foot bookshelves. How much of the board remained?
Answer:
3 2/5
I converted these into decimals, because I find it easier ^.^
We have an 8 feet board, and we twice remove 2 1/3 from that number.
8 - 2 1/3 = 5.7
5.7 - 2 1/3 = 3.4 or 3 2/5
~Hope this helps~
Whoever is awake I need help with math points and brainlest
Answer:
the first one or A. hope this helps.
Step-by-step explanation:
180 miles in 4 hours at what rate how long will it take to drive 270 miles
Answer:
6
Step-by-step explanation:
180 / 4 = 45
45mi = 1hr
270 / 6 = 45
Jackie has $250 in her bank account and makes $25 every time she babysits. Write an expression in simplest form representing how much Jackie has in her account after babysitting t times
Step-by-step explanation:
y = 25t + 250
y is the total amount
t is number of times babysitting
3 How many more cake
pops does the neighbor need to sell so that Callie can make a
profit of $5.00? Show
your
work.
Answer:
you didint explainded well
Step-by-step explanation:
Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?
The drama class sold how many tickets?
The solution is?
9514 1404 393
Answer:
90 student tickets65 adult ticketsStep-by-step explanation:
For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...
6a +3(a+25) = 660
9a +75 = 660
9a = 585
a = 65
(a+25) = 90
The drama class sold 90 student tickets and 65 adult tickets.
Calculate the value of x
35 degree 2x+16 4x+3
Find the quotient: 68/6
Answer:
The answer is 11. 2 is the remainder
Step-by-step explanation:
hope this helps
What type of function is f(x)=2(1/7)^x?
Linear
Exponential Decay
Exponential Growth
None of the Above
Answer:
B) Exp. Decay
Step-by-step explanation:
Because the term getting raised to a power is under 1, the function immediately starts going down and approaches negative infinity as x approaches infinity.
The type of function is f(x)=2(1/7)^x is Exponential Decay, the correct option is B.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
Function; f(x)=2(1/7)^x
Now,
The function has the form f(x)=abx
where a and b are constants and b is between 0 and 1. In this case, a is 2 and b is 1/7, which is less than 1. This means that the function decreases as x increases.
Therefore, by the given function the answer will be Exponential Decay.
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Shape p is translated to shape Q using vector (a b).
Please find A.
Photo attached.
Answer:
-7
Step-by-step explanation:
you basically just move across and because its moving to the left its a negative
Shape P is translated to shape Q using b[tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex]..
What is translation of a graph?In mathematics, a translation is the up, down, left, or right movement of a shape. Because the translated shapes appear to be exactly the same size as the original ones, they are congruent with one another.
Given:
The shape P is mentioned on the graph is translated to shape Q.
So, the shape shifted 7 units to left.
and, the shape needs to shift downwards 4 places.
Hence, the required vector is [tex]\left[\begin{array}{ccc}7\\4\end{array}\right][/tex].
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QUESTION: A survey of students in a homeroom class explored the
relationship between gender and participation in the school band. What
is a reasonable conclusion to draw from the data?*
Answer:
ill say its c but im not that sure
Step-by-step explanation:
Which set of values for x makes the inequality 12−x<7 true
Answer:
[tex]\{x:x>5\}[/tex]
Step-by-step explanation:
Given
[tex]12 - x < 7[/tex]
Required
Values of x that make it true
First: solve the inequality.
[tex]12 - x < 7[/tex]
Collect Like Terms
[tex]- x < 7-12[/tex]
[tex]- x < -5[/tex]
Multiply both sides by -1
[tex]-1 * - x < -5 * -1[/tex]
[tex]x > 5[/tex] --- The inequality changes when multiplied by a negative value
So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)
Hence, the set is:
[tex]\{x:x>5\}[/tex]
Solve each equation.
40 = -8(x + 2)
Answer:
x = -7
Step-by-step explanation:
it’s right!
What is 23% over a 100
Answer:
0.0023 or 23 / 10000
Step-by-step explanation:
23% = 0.23
0.23 / 100 = 0.0023
Answer:
23
Step-by-step explanation:
anything over 100 s a percent
like 15/100 is 15%
PLEASE HELP I WILL GIVE BRAINLIEST
9514 1404 393
Answer:
48
Step-by-step explanation:
Evaluate each of the functions by putting the number where x is.
[tex]g(x)=x^2-4\\\\g(-7)=(-7)^2-4=49-4\\\\\boxed{g(-7)=45}\\\\f(x)=x+4\\\\f(-7)=-7+4\\\\\boxed{f(-7)=-3}[/tex]
Then the difference is ...
g(-7) -f(-7) = 45 -(-3) = 45 +3 = 48
Answer:
solution given;
g(x)=x²-4
f(x)=x+4
Now
g(-7)-f(-7)=(-7)²-4-(-7+4)=49-4+3=48
48 is a required answer.
sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 3.
Answer:
19) Domain: - ∞ < x < ∞ 20) Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞ Range: - ∞ < y < ∞
Increases throughout Decreases throughout
Step-by-step explanation:
Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Increases throughout
______________________________
For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Decreases throughout
Find an equation of the straight line that is perpendicular to y=2x+1 and passes through the point (-2,5)
Answer:
y = -1/2x + 4
Step-by-step explanation:
to answer this question you need to find the slope and the y-intercept
to find the slope of a line that is perpendicular to another line you take the opposite and reciprocal of the slope of the first line
in this case the slope of the initial line is 2; therefore, the opposite reciprocal is -1/2
knowing slope ('m') = -1/2 and having the point (-2, 5) can give us the y-intercept of the new line; we start with:
y = mx + b and then plug the values in so find the y-intercept ('b')
5 = (-1/2)(-2) + b
5 = 1 + b
b = 4
put it all together: y = -1/2x + 4
Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?
Answer: 12
Step-by-step explanation:
PLEASE HELLPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
a) 33
B) 65?
C) 60?
D) Becuase its the same shape just smaller.
E) 14, its cut in half
Step-by-step explanation:
be careful if you use these, its been a while since I geometry.
Subtract 7−5x from 2−3x . What is the difference?
Answer:
7−5x from 2−3x
Step-by-step explanation:
you flip them and get 2−3x 7−5x. try it that way...
i forgot to bring a piece of paper, im on the road
given that angle one is approximately equal to angle two, and angle three is approximately equal to angle one, prove line xy is parallel to line wv (using the statements and reasons columns)
Answer :
Statements :-
1. Segment XY is parallel to segment WV.
2. Angle 1 is congruent to angle 2.
3. Angle 3 is congruent to angle 1.
4. Angle XMY is congruent to angle VMW.
Reasons :-
1. Given
2. Given
3. Given
4. SSS (Side-Side-Side)
Hope this helps, thank you !!
How many boxes did Lamar sell?
How many boxes did Jina sell?
The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s = 35, P = 1760.
Work out the power (to 1 DP) when the speed is 40 m/s
Answer:
P = 2288 W
Step-by-step explanation:
The power, P (watts), of a car engine is proportional to the square of its speed i.e.
[tex]P\propto s^2[/tex]
or
[tex]P=ks^2[/tex]
Put s = 35, P = 1760 to find k.
[tex]k=\dfrac{P}{s^2}\\\\k=\dfrac{1760}{35^2}\\\\k=1.43[/tex]
Now put k = 1.43 and s = 40. So,
[tex]P=1.43\times (40)^2\\\\P=2288\ W[/tex]
So, the new power is 2288 W when the speed is 40 m/s.
f(x)=x-7 and g(x)=2x-3
find f(g(4))
Answer:
f(g(4)) = -2
Step-by-step explanation:
First, find g(4) by plugging in 4 as x into the function:
g(x) = 2x - 3
g(4) = 2(4) - 3
g(4) = 8 - 3
g(4) = 5
f(g(4)) can be found by finding f(5), since g(4) = 5
Find f(5) by plugging in 5 into the function:
f(x)= x - 7
f(5) = 5 - 7
f(5) = -2
So, f(g(4)) = -2
I need to know the answer ASAP
A number x is three times the value of number y. A number z is eight times the value of y. The sum of
the three numbers is 528. What are the 3 numbers (HINT: This problem requires 3 equations to solve!!
Step-by-step explanation:
y=a
x= 3a
z=8a
3a+8a+a=524
12a=528
a=44
X=3×44=132
z=8×44= 352
Answer:
y=a
x= 3a
z=8a
3a+8a+a=524
12a=528
a=44
X=3×44=132
z=8×44= 35
2
Step-by-step explanation:
The area of a circle is 9πft^2. What is the circumference in feet?
Answer:
98
Step-by-step explanation:
Answer:
6π ftStep-by-step explanation:
Area:
A = πr²Circumference:
C = 2πrSubstitute values in area:
πr² = 9πr² = 9r = 3 ftCircumference is:
C = 2π*3 = 6πKatie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar. How many cups of flour are in this recipe?
The solution is?
Answer:
146
Step-by-step explanation:
because 3times the cups is 36
so four times more 36
There are 13 cups of flour in this recipe when Katie uses 12 cups of flour and sugar to make cookies. The amount of flour is four more than three times the amount of sugar.
Let's assume the amount of sugar used in the recipe is represented by the variable "s."
According to the given information, the amount of flour used is four more than three times the amount of sugar. In mathematical terms, this can be expressed as:
Flour = 3s + 4
Now, we know that Katie uses 12 cups of flour in the recipe. We can set up an equation to solve for the amount of sugar:
12 = 3s + 4
Subtracting 4 from both sides of the equation:
12 - 4 = 3s
8 = 3s
Dividing both sides by 3:
8/3 = s
s = 2.67
Since the number of cups of sugar must be a whole number, we can round the value to the nearest whole number. Thus, s ≈ 3.
Now, we can find the amount of flour by substituting the value of sugar into the equation:
Flour = 3s + 4
Flour = 3(3) + 4
Flour = 9 + 4
Flour = 13
Therefore, there are 13 cups of flour in this recipe.
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Simplify
(5 - 4x) (6 + 7x)
Answer:
30+11x−28x2
Step-by-step explanation:
it is 30+11x-28x2