Answer:
A. dP/dt = 200
The degree of the variable must be one for linear growth. Then the correct option is B.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
If P(t) is the size of a population at time t.
The differential equations have a linear growth in the size of the population. That means the degree of the variable must be one. And the equation of the population will be quadratic. That is given as
[tex]\rm \dfrac{dP}{dt} = 200t[/tex]
In this equation, the degree of the time (t) is one.
Thus, the correct option is B.
More about the differentiation link is given below.
https://brainly.com/question/24062595
There are 150 buttons in a box.
24 children take 3 buttons each.
How many buttons are left in the box?
Show your method.
Answer:
78 buttons left
Step-by-step explanation:
I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.
Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)
can you please help out my daughter on this...
Answer:
d
Step-by-step explanation:
find the value of the angles marked 'x' and 'y'
Answer:
x=120 y=60
Step-by-step explanation:
Interior angle of a hexagon = 120
Straight line = 180
180-120=60
workout the size of angle x
Answer:
Where is it?
Step-by-step explanation:
Joe cuts ten pizzas into quarters. How many pizza quarters are there in total?
Answer:
40 pizzas in total
Step-by-step explanation:
10×4=40
Can some help me please I did one but I am not sure if it is correct.
thank you
Answer:
yes its correct
Step-by-step explanation:
but for the check where did you get the 12? you might want to redo that part but otherwise its right
(x-4)2 = 36
Which of the following expressions represents the solutions to the given equation?
0-4+ V(36)
O4 + V(36)
16+ (36)
What is the image of the point (1,-4) after a rotation of 180° counterclockwise
about the origin?
Answer:
(-1, 4)
Step-by-step explanation:
Rotation 180° negates both coordinates:
(x, y) ⇒ (-x, -y)
The direction (clockwise or counterclockwise) is irrelevant. It is the same as reflection across the center of rotation (the origin).
(1, -4) ⇒ (-1, 4) . . . . after rotation 180°
there are 350,000 in a warehouse predict the number of light bulbs that are likely to have no defects
Answer:
175000.(or around that number)
Step-by-step explanation:
half of 350,000 is 175000.
Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered?
Step-by-step explanation:
cheese : pepperoni : sausage : mushroom =
10 : 7 : 5 : 8
so, in total there are 10+7+5+8 = 30 "business pieces".
to get the total number of pizzas, we need to see how many pizzas are sold per "business piece" ?
we get this from the 35 orders of pepperoni pizzas.
these 35 orders represent 7 "business pieces".
that means 1 "business piece" = 35/7 = 5 pizzas.
that means that 30 "business pieces" are 5×30 = 150
so, in total, 150 pizzas were ordered.
At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?
Full explanation (No links)
Answer:
28
Step-by-step explanation:
the ratio is written as copies/dollars.
14/4=x/8
since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.
14/4=28/8
let's substract : (2x + 3y) from (8x + 6y)
[tex]\huge\mathfrak\pink{answer} [/tex]
Help help help
Help hep help
Answer:
-2
Step-by-step explanation:
-4x-2x ≤ 17-5
-6x ≤ 12 | /(-6)
x ≥ -2
Find the area of a rectangle with sides measurements 8 inches and 17 inches
Answer:
136 inches or 354.44cm
Step-by-step explanation:
17*8 = 136
Answer:
136 inches
Step-by-step explanation:
17 X 8 = 136 inches
Can anyone help me with this one asap? Thanks in advance.
The answer to your question is in the image above.
what is 2x-4y=12 x-3y=17
Answer:
x=-16
y=-11
Explanation:
2x-4y=12
x-3y=17
first multiply all the numbers of the bottom equation by -2
2x-4y=12
-2x+6y=-34
then cancel the x's, and add the other numbers
2y=-22
solve for y
y=-11
plug y into either the original top or bottom equations
2x-4(-11)=12
2x+44=12
2x=-32
x=-16
or
x-3(-11)=17
x+33=17
x=-16
Timmy has a total of 15 dimes and nickles i his pocket. He has 7 more dimes than nickels. How many dimes does he have.
Answer:
1.98 I think sorry if it's wrong
rewrite 12/12 as a whole number
9514 1404 393
Answer:
1
Step-by-step explanation:
Any (non-zero) number divided by itself is 1.
_____
This is a fact that has many uses in problem solving and units conversion.
Can Someone help me on this math question please
I will mark u brainless please
what is 0.5734 rounded to the nearest thousandth
Answer:
0.573
Hope that helps :)
Evaluate. 3⋅23+52−18÷6 need help ASAP
The required value of the given numerical expression is 118, as evaluated by including the PEMDAS rule in the expression.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
The Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction rule is abbreviated as PEMDAS. This rule is used to answer the problem correctly and properly.
The given numerical expression would be below as:
⇒ 3⋅23 + 52 − 18 ÷ 6
Using the PEMDAS rule in the above expression,
⇒ 3⋅23 + 52 − 18 ÷ 6
Apply the multiplication operation,
⇒ 69 + 52 − 18 ÷ 6
Apply the division operation,
⇒ 69 + 52 − 3
Apply the addition operation,
⇒ 121 − 3
Apply the subtraction operation to get
⇒ 118
Therefore, the evaluated value of the given expression would be 118.
Learn more about the PEMDAS rule here :
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Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to start 15 yards ahead of the adults, since they had shorter legs. When they were told to start, the kids hobbled forward at a rate of 1 yard per second, and the adults hobbled after them at a rate of 4 yards per second. Soon they were side-by-side. How long did that take? How far did the adults go?
It took seconds for the adults to go yards and catch up to the kids?
A system of equations is simply a system that contains related equations of multiply variables
It took 5 seconds for the adults to go 20 yards and catch up to the kids
Let x represents the time of the race
The kids started 15 yards ahead, and they raced at 1 yard per second.
So, the kids' equation is represented as: [tex]\mathbf{k =15 + x}[/tex]
The adults' raced at 4 yards per second.
So, the adults' equation is represented as: [tex]\mathbf{a =4x }[/tex]
When they are side by side, we have the following equivalent equation
[tex]\mathbf{4x = 15 + x}[/tex]
Subtract x from both sides
[tex]\mathbf{3x = 15}[/tex]
Divide both sides by 3
[tex]\mathbf{x = 5}[/tex]
It means that, it took the adults 5 seconds to catch up with the kids
Substitute 5 for x in any of the equations to calculate the distance travelled.
[tex]\mathbf{a =4 \times 5}[/tex]
[tex]\mathbf{a =20}[/tex]
It means that, the adults catch up with the kids at 20 yards
Read more about systems of equations at:
https://brainly.com/question/12895249
Answer:
The adults went 123 yards and caught up to the kids in 41 seconds
Step-by-step explanation:
ixl :)
Kathy is following a recipe for punch that calls for 3 liters
of juice. She has 3 quarts of juice. Without using an equation, does Kathy
have enough juice for the punch? Explain.
Answer:
Yes, Kathy does have enough juice.
Step-by-step explanation:
Kathy does have enough because quarts are a little bigger than liters, so the 3 quarts she has will cover the liters.
Find the absolute maximum and minimum values of the following function on the given region R. f(x,y)=5x2+5y2−10x+21; R=(x,y): x2+y2≤4, y≥0
We first compute the partial derivatives of f(x, y):
f(x, y) = 5x² + 5y² - 10x + 21
∂f/∂x = 10x - 10
∂f/∂y = 10y
The critical points of f occur where both ∂f/∂x and ∂f/∂y are equal to zero. This only happens at the point (x, y) = (1, 0). (And this point does lie inside R.)
Next, compute the Hessian matrix H(x, y) for f :
[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2 f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}10&0\\0&10\end{bmatrix}[/tex]
Since det(H(x,y)) = 100 is positive for all x and y, this means the critical point (1, 0) is a local minimum, and we have f(1, 0) = 16.
Next, we check for extrema along the boundary of R, which is comprised of a semicircle with radius 2 and the line segment connecting (-2, 0) and (2, 0).
• Parameterize the semicircular portion by
x(t) = 2 cos(t)
y(t) = 2 sin(t)
with 0 ≤ t ≤ π. Then
f(x(t), y(t)) = 20 sin²(t) + 20 cos²(t) - 20 cos(t) + 21
which is simplifies to a function of one variable t,
g(t) = 41 - 20 cos(t)
Find the extrema of g over the interval [0, π] : we have critical points when
g'(t) = 20 sin(t) = 0
which happens at t = 0 and t = π. At these points, we get local extreme values of
•• t = 0 => x = 2 and y = 0 => f(2, 0) = 21
•• t = π => x = -2 and y = 0 => f(-2, 0) = 61
• Over the line-segment portion, we take y = 0, so f(x, y) again reduces to a function of one variable:
f(x, 0) = 5x² - 10x + 21
Completing the square, we have
5x² - 10x + 21 = 5 (x - 1)² + 16
which has a maximum value of 16 when x = 1 (and this happens to be the critical point (1, 0) we found earlier).
So, over the region R, f(x, y) has
• an absolute maximum of 61 at the point (-2, 0), and
• an absolute minimum of 16 at (1, 0)
HELLP ILL GIVE BRSINLY
m = 180 - CBE = 180 - [ 360 - BDC - BED - (180 - DCE - DEC)] = 180 - [ 360 - 90 -90 - (180 - 13*2)] = 154
P/s: 180 - DCE - DEC = CDE
ok done. Thank to me :>
A parabola having its axis vertical passes through three points A(0,0), B(1,0), and C(5,-20) respectively. Determine the coordinates of the vertex of the parabola.
Answer:
(1/2, 1/4)
Step-by-step explanation:
This is gonna be long. The x coordinate of a parabola's vertex = -b/2a. Now we have to find the equation of the parabola. Using the given points and plugging them into y=ax^2 + bx + c, we can determine:
0 = c
0 = a + b
-20 = 25a + 5b
After rearranging and solving, we get:
b = -a
-20 = 20a
a = -1
b = 1
y = -x^2 + x
Now we can find the x coordinate of the vertex, which is 1/2. After plugging this into our parabola, we get a y coordinate of -1/4 + 1/2 = 1/4. Therefore, the vertex is located at (1/2, 1/4).
A random number generator picks a number from 6 to 66 in a uniform manner. Round answers to 4 decimal places when possible.
The mean of this distribution is =
The standard deviation is =
The probability that the number will be exactly 19 is P(x = 19) =
The probability that the number will be between 28 and 46 is P(28 < x < 46) =
The probability that the number will be larger than 48 is P(x > 48) =
P(x > 17 | x < 62) =
Find the 49th percentile =
Find the maximum for the lower quartile =
Answer:last one
Step-by-step explanation:
A random number generator picks a number from 6 to 66 in a uniform manner, its resultants are mathematically given as
X=36[tex]\sigma=5[/tex]p(x=19)=0.2167P(28 < x < 46) =0.3 P(x > 48)=0.3P(x > 17 | x < 62) =0.75k=29.4h=15What is the mean of this distribution?Generally, the equation for Mean is mathematically given as
[tex]X=\frac{a+b}{2}\\\\Therefore\\\\X=\frac{6+66}{2}[/tex]
X=36
b)
Generally, the equation for standard deviation is mathematically given as
[tex]\sigma=\sqrt{\frac{b-a}{12}^2}\\\\Therefore\\\\\sigma=\sqrt{(\frac{66-6}{12})^2}\\\\\sigma=\sqrt{25}\\\\[/tex]
[tex]\sigma=5[/tex]
c)
The probability that the number will be exactly 19
[tex]p(x=19)=\frac{19-6}{66-6}[/tex]
p(x=19)=0.2167
d)
The probability that the number will be between 28 and 46 is P(28 < x < 46)
[tex]P(28 < x < 46) =\frac{46-6}{66-6} -(\frac{28-6}{66-6})[/tex]
P(28 < x < 46) =0.3
e)
The probability that the number will be larger than 48 is P(x > 48)
[tex]P(x > 48)=1-P(x\leq 48)[/tex]
Therefore
[tex]P(x > 48)=1-(\frac{48-6}{66-6})[/tex]
P(x > 48)=0.3
f)
[tex]P(x > 17 | x < 62) = P(x\leq 62-P(x leq 17))[/tex]
Therefore
[tex]P(x > 17 | x < 62) =\frac{62-6}{66-6}-(\frac{17-6}{66-6})[/tex]
P(x > 17 | x < 62) =0.75
g)
The 49th percentile
[tex]p(x\leqk=k.(1/66-6))[/tex]
Therefore
[tex]0.49=k*(1/(66-6))[/tex]
k=29.4
h)
The maximum for the lower quartile
P(xl)=h*1/60
0.25=h*1/60
h=15
Read more about probability
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Do you think you could use a multiply a 4 digit number by a 1 digit number
Answer:
line them up straight with the bottom number and the top number.
For a weekly car rental, a car rental company charges customers a flat fee of $100 plus
10 cents for every mile traveled.
15 Write an equation for the amount, A dollars, of a weekly rental for a car that travels
m miles
The way you typed out this sentence was a bit confusing but I think you were saying...
For a weekly car rental, a car rental company charges customers a flat fee of $100 + and charges 10 cents for every mile traveled. write an equation for the amount of a weekly rental car that travels 15 miles (Please let me know if I am wrong)
The equation would be
10+10 +10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10+ 10 = 150 cents
so they would be charging $1.50
Hoped this helped!
Have a great day/night! :)
Whats the answer to 2 1/6 + 3 4/9?
Answer:
4.61
did that help??
Step-by-step explanation:
[tex]2 \dfrac 16 + 3 \dfrac 49 \\\\\\= 2 + \dfrac 16 + 3+ \dfrac 49\\\\\\ = 5+\dfrac{11}{18}= 5 \dfrac{11}{18}[/tex]