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.
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which of the following does not require the use of chain rule to find dy/dx.
C. For each term in this expression, you can just apply the power rule.
[tex]y = 3x^2 - \sqrt x + \dfrac2x = 3x^2 - x^{\frac12} + 2x^{-1}[/tex]
[tex]\implies \dfrac{dy}{dx} = 2\cdot3x^{2-1} - \dfrac12 x^{\frac12-1} + (-1)\cdot2x^{-1-1}[/tex]
[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac12 x^{-\frac12} - 2x^{-2}[/tex]
[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac1{2\sqrt x} - \dfrac2{x^2}[/tex]
Every other choice involves composite functions that do require the chain rule to differentiate.
Option C : [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] can be differentiated without using chain rule.
The differentiation of [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] without using chain rule can be done as follows:
[tex]\begin{aligned}\dfrac{dy}{dx} &= \dfrac{d}{dx}(3x^2 - \sqrt{x} + \dfrac{2}{x})\\\\&= \dfrac{d}{dx}(3x^2 - x^{\frac{1}{2}} + 2x^{-1})\\&= 6x - (1/2)x^{-\frac{3}{2}} -2x^{-2}\\\end{aligned}[/tex]
The rest of the functions are composite, which means, that after differentiating them with some other base, you need to change the base and differentiate again, thus applying chain rule.
Thus, the function [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] can be differentiated without using chain rule.
Thus, option C: [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] is correct option.
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WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOR THE LINE THAT PASSES THROUGH THE POINT (-2,6) AND A SLOPE OF -1/4
It's a line so its equation is in the form : y = mx + b where m is the slope/gradient and b the y-intercept.
Since the slope m here is -1/4, we can write :
y = (-1/4)x + b
And since that line passes through the point x=-2, y=6, we can find the y-intercept by solving this equation of unknown b :
b + (-1/4)*(-2) = 6
b = 6 - (-1/4)*(-2)
b = 6 - (2/4)
b = 6 - 1/2
b = (12-1)/2 = 11/2
Finally, the equation is y = (-1/4)x + 11/2
Does anyone know how to solve this:
22 - 6x > 4
Answer:
x<3
Step-by-step explanation:
22-6x > 4
solve like a regular equation for x
subtract 22 on both sides
-6x>-18
divide -6
x>3
and since 6 is negative you switch the sign
so
x<3
Is the Ordered Pair (6, 8) a solution to the equation y=12x+4?
True, the Ordered Pair is a solution to the equation.
False, the Ordered Pair is NOT a solution to the equation.
Answer:
The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.
Step-by-step explanation:
7÷5=2. Prove It
Based on Critical Thinking and Reasoning. Not normal mathematics.
A food store is making 60 jars of vegetables. Each jar will get 7.83 ounces of peas and carrots
combined. The food store has 384 ounces of peas for all the jars, and the carrots will be divided
equally among the jars. How many ounces of carrots will go into each jar?
Answer:
1.43 ounces
Step-by-step explanation:
384 / 60 = 6.4
7.83 - 6.4 = 1.43
If 2x - 3x = 3 what is 16x / 64x?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The problem [tex]2x - 3x = 3[/tex] is incorrect. The correct answer for that one is [tex]-x \:\sf{or\:-1[/tex]
[tex]\sf{Simplify\: the\: expression.[/tex]
[tex]\sf{\frac{16x}{64x} = \frac{1}{4}[/tex]
[tex]x=\frac{1}{4}[/tex]
Therefore, the answer is [tex]\frac{1}{4}[/tex]
A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?
40m/s2
30m/s2
20m/s2
72m/s2
the correct answer whould be 65.62. but that is not a option for you so I dont know. try 72 it's the closest.
Rachel and Amanda are planting tulip bulbs. Rachel has planted 45 bulbs and is planting at a rate of 33 bulbs per hour, Amanda is planting at a rate of 36 bulbs per hour and has planted 36 bulbs. How long will it take Rachel and Amanda to plant the same number of bulbs? How many bulbs will that be?
Answer:
3 hours
144 bulbs
Step-by-step explanation:
33t + 45 = 36t + 36
Subtract 33t from both sides
45 = 3t + 36
subtract 36 fromboth sides
9 = 3t
divideboth sides by 3
3 = t
3 hours
How many bulbs will that be?
33(3) + 45
99 + 45
144
4. At an Internet store, a laptop computer costs $724.99. At a local store, the same computer costs $879.95. What is the difference in prices?
Answer:
$154.96
Step-by-step explanation:
difference means to subtract so 879.95-724.99=154.96
how many times as great as the mass of each emerald is the mass of each sapphire sapphire:0.315 emerald: 0.18
Mrs. Sparks is a 9th-grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores. 30 POINTS
The values of the central tendencies are as follows;
The mean of Class 1 is 78.83.
The median of Class 1 is 88
The mean of Class 2 is 79.42
The median of Class 2 is 85.50
The mean of Class 3 is 79.42
The median of Class 3 is 78
The standard deviation of Class 1 is 18.81
The standard deviation of Class 2 is 16.15
The standard deviation of Class 3 is 12.70.
How to find the mean and median?Mean is the average of a set of numbers.
Mean = sum of numbers / total number
Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83
Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42
Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42
Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.
Median of Class 1 = (86 + 90) / 2 = 88
Median of Class 2 = (84 + 87) / 2 = 85.50
Median of Class 3 = (76 + 80) / 2 = 78
Standard deviation is used to calculate the average variation of a dataset.
Standard deviation = √((x - μ)²/σ)
Where:
x = number in the dataset
u = mean
n = total numbers in the dataset.
Standard deviation of Class 1 = 18.81
Standard deviation of Class 2 = 16.15
Standard deviation of Class 3 = 12.70
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Complete question is;
Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three
Algebra 1 courses and all the classes recently took a chapter exam.
Below are the scores.
Class 1
45
68
77
90
90
95
100
100
86
90
50
55
Class 2
64
65
70
40
100
87
84
88
90
90
95
80
Class 3
70
75
75
90
100
80
55
65
76
80
88
99
a. Find the mean, median, mode and range of Class 1.
b. Find the mean, median, mode and range of Class 2.
c. Find the mean, median, mode and range of Class 3.
d. Find the standard deviation of Class 1.
e. Find the standard deviation of Class 2.
f. Find the standard deviation of Class 3.
Answer:
Down below! Hope this helps! Mark me Brainly!
Step-by-step explanation:
A.
The mean 78.83.
The median 88
The mode 90
The range 55
B.
The mean 79.42
The median 85.50
The mode 90
The range 60
C.
The mean 79.42
The median 78
The mode 75 and 80
The range 45
D.18.81
E.16.15
G.The class that had the higher standard deviation is class 1.
H.The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.
if someone helps me with dis ill def give em brainliest
Answer:
with what?
Step-by-step explanation:
I think you forgot to attach something.
hiiii i need help with this word problem :)
Answer:
A= adult tickets, C=children tickets, S=senior tickets
A-10=C; C+10=A
4C=S
4C+6S+10A=1240, but S=4C and C=A-10
4C+24C+10C+100=1240
38C=1140
C=30 children tickets and $120
A=C+10=40 adult tickets and $400
4C=S=120 senior tickets and $720
$120+$400+$720= $1240.
Find the slope of each line. PLS HELP TYSMMMM!
Answer:
Step-by-step explanation:
1. (-4, -2) (4, 0)
(0 + 2)/(4 + 4)= 2/8= 1/4
2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2
3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2
4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2
Help please! Mathematics as a teen isn’t my strong suit
Also, number 15) has4 columns and 6 rows
Answer:
ang masasabi ko lang thans sa points
Step-by-step explanation:
salamat sa pointsmore points to come50 points ulit haThe vertex angle of an isosceles triangle is 127º. What is the measure of each base angle?
Answer:
Step-by-step explanation:
(180 - 127) / 2 = 26.5°
explain how to use a graph of the function f(x) to find f(3)
Answer:
See below
Step-by-step explanation:
What f(3) means is the value of f(x), or "y", when x=3. So, you would go 3 to the right on the x-axis, and then you would go up or down the y-axis until you touch the graph of the function. That will be where f(3) is.
Given a graph of the function f(x), find 3 on the X axis and then look directly up or down from there to find the Y coordinate of the function at that value of X.
f(3) is equal to Y at x=3.
A man is 32 years older than his son ten year ago he was three times as old as his son was then find the present age of each?
In circle D, which is tangent to the circle?
Line G H
Line segment A B
CD
EF
Answer:
line segment A B
Step-by-step explanation:
it's really a ray, not a line segment
In circle D, the AB line segment is tangent to the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Since A line that only has one point where it crosses a circle is said to be tangent to the circle. The point of contact is the location where the circle and the tangent meet.
Thus, in the given figure AB is the tangent line segment of the circle D.
From the properties of the circle, we can state that,
FE is Diameter,
The CD is representing the radius, and
GH is representing the Secant line of the circle D.
Therefore, In circle D, the AB line segment is tangent to the circle.
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write the fraction as a decimal use bar notatin if necessary
-2 5/22
Answer:
1.13
Step-by-step explanation:
to turn a fraction to a decimal divide the denomitator by the numerator [tex]\frac{-25}{22}[/tex] can also be written as -25÷22 which equals 1.13 or 1.136 with a line over it
Hope this helps!
find the value of (-7/10)(2/5)
Answer:
the answer to (-7/10)(2/5) is -7/25.
or if you need decimal form it is -0.28
Step-by-step explanation:
a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?
Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.
The patient is to take a tablet 3 times a day which means that they are to take:
= 1 x 3
= 3 tablets daily
If they have 30 tablets, this will last:
= Number of tablets / Tablets per day
= 30 / 3
= 10 days
In conclusion, it will take 10 days for the tablets to run out.
Find out more at https://brainly.com/question/13043215.
74%, 3/4, 0.76 on a number line
Answer:
Step-by-step explanation:
you just graph it
ents
2 in
2 in
What is the area of the given figure? Enter your answer as a single number. Round to the
nearest tenths place. Use 3.14 as an approximation for pi. Your answer will be in the units of
inches squared
15
Answer:
"given figure"
No figure was given.
Step-by-step explanation:
Jiro uses fabric to make costumes for a show choir
Answer:
Print it
Step-by-step explanation:
please help me i will give u a thanks
Answer:
1024
Step-by-step explanation:
because its going by 4
(5 1/4−2 1/2)+(6 2/3−3 1/2) plsss help (real answers)
Answer:
5 11/12. hope this helps
Step-by-step explanation:
Answer:
6
Step-by-step explanation: 5 1/4 - 2/12 = 3 6 2/3 - 3 1/2=3 3+3=6
Frank had 5/9 acres of land. He planted 2/3 of this land with corn. How many acres did he plant with corn ?
Answer:
22/45
Step-by-step explanation:
i literally just looked it up and that's what it gave me i pretty sure its right
y + y + y + y + ytytyty
Collect like terms