Answer:
c. dP/dt = (1/5)P
Step-by-step explanation:
Given that the rate of change of population with respect to time dP/dt is directly proportional to the population, P, we have
dP/dt ∝ P
dP/dt = kP
Given that dP/dt = 2 million insects per day and P = 10 million insects after 5 days, So,
2 = k × 10
k = 2/10
k = 1/5
So, dP/dt = kP
dP/dt = (1/5)P
The option C is correct
DifferentiationThe rate of change of a function with respect to the given variable.
How to get the option?The rate of change of population with respect to time is directly proportional to the population P. We have
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} \propto P\\\\\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP[/tex]
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t}[/tex] is 2 million insects per day and P = 10 million insects after 5 days. So
[tex]\begin{aligned} \dfrac{\mathrm{d} P}{\mathrm{d} t} &= kP\\2 &= 10k\\k &= \dfrac{1}{5} \\\end{aligned}[/tex]
Then
[tex]\dfrac{\mathrm{d} P}{\mathrm{d} t} = kP\\\\ \dfrac{\mathrm{d} P}{\mathrm{d} t} = \dfrac{1}{5} P[/tex]
Thus, option C is correct.
More about the Differentiation link is given below.
https://brainly.com/question/24062595
On a large college campus, the students are able to get free copies of the school newspaper,the local newspaper, and a national paper. Ninety percent of the students read at least one of thepapers, 40% read only the school newspaper, 20% read only the local paper, 5% read only thenational paper, and 2% read all three papers. Fifty percent read the school newspaper, and 5%read the school and national newspapers. A randomly selected student is asked whether he orshe reads the school, local, or national paper. Express each of the following events in setnotation and find the percentage of students represented by each.a The student does not read any paper.b. The student reads the local paper.c. The student reads exactly two papers.d. The student reads at least two papers.
Answer:
a) The percentage that the student does not read any paper is 10%
b) The percentage that the student reads the local paper is 40%
c) the percentage that the student reads exactly two papers is 23%
d) the percentage that the student reads at least two papers is 25%
Step-by-step explanation:
Given the data in the question;
as illustrated in the Venn diagram below,
a)The student does not read any paper;
The percentage that the student does not read any paper will be;
100% - 90% = 10%
Therefore, The percentage that the student does not read any paper is 10%
b) The percentage that the student reads the local paper;
from the Venn diagram below;
⇒ ( 20 + 15 + 3 + 2 )%
= 40%
Therefore, The percentage that the student reads the local paper is 40%
c) The percentage that the student reads exactly two papers
⇒ ( 15 + 5 + 3 )%
= 23%
Therefore, the percentage that the student reads exactly two papers is 23%
d) The percentage that the student reads at least two papers;
⇒( 15 + 5 + 3 + 2 )%
= 25%
Therefore, the percentage that the student reads at least two papers is 25%
−3.64⋅|−5.3|−1.5^3
help pls
Answer:
5
Step-by-step explanation:
its 45
Answer:
-22.667
Step-by-step explanation:
-3.64(5.3) - (1.5)³
-19.292 - 3.375 = -22.667
HELP ME NOW ASAPPP UnU
Answer:
56.757 and if u divide it : 676.75
Step-by-step explanation:
uwu
The NEC permits 20% of the cross sectional area in a wireway to be occupied by conductors.for an 8"×8"×6' long wireway the conductors can occupy. In squared?
Answer:
Step-by-step explanation:
Sjaoa
The required cross-sectional area in a wireway is 12.8 In squared.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
We have been given an 8"×8"×6' long wireway the conductors can occupy.
Since the NEC permits 20% of the cross-sectional area in a wireway to be occupied by conductors
So the required cross-sectional area in a wireway is
⇒ 20 % of ( 8"×8" )
⇒ 0.20 × (64 )
⇒ 12.8 In squared
Thus, the required cross-sectional area in a wireway is 12.8 In squared.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
Solve each system by substitution.
2) 4x + y = -8
8x + 2y=5
A) (4-6)
C) (54,6)
B) No solution
D) (-6,4)
Answer:
b. no solution
Step-by-step explanation:
change to slope-int form
y=-4x-8
y=-4x+5/2
see how the slopes are the same but the y-int are different? they are parallel, so they never touch
(x-2)^2-6(x-2)+5=0
Find a Value of X
Answer:
The values of x are:
[tex]x=3,\:x=7[/tex]
Step-by-step explanation:
Given the expression
[tex](x-2)^2-6(x-2)+5=0[/tex]
Expand (x - 2)² = x² -4x + 4
[tex]x^2-4x+4-6\left(x-2\right)+5=0[/tex]
Expand: -6(x - 2) = -6x + 12
[tex]x^2-4x+4-6x+12+5=0[/tex]
simplifying
[tex]x^2-10x+21=0[/tex]
Factor x² -10x + 21: (x - 3) (x - 7)
[tex]\left(x-3\right)\left(x-7\right)=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x-3=0\quad \mathrm{or}\quad \:x-7=0[/tex]
solving x - 3 = 0
x - 3 = 0
Adding 3 to both sides
[tex]x-3+3=0+3[/tex]
simplify
x = 3
solving x - 7 = 0
x - 7 = 0
Adding 7 to both sides
[tex]x-7+7=0+7[/tex]
Simplify
x = 7
Therefore, the values of x are:
[tex]x=3,\:x=7[/tex]
2x-1=7
Not sure how to start to solve this equation
Answer:
x equals 4. 2x4 is 8-1equals 7
Answer: x=4
Step-by-step explanation: 2x−1=7
2x−1+1=7+1
2x/2=8/2
x=4
An aquarium contained an equal number of horseshoe crabs and sea stars. After 15 horseshoe crabs were removed and 27 sea stars were removed, the ratio of horseshoe crabs to sea stars was 5:3. How many horseshoe crabs and sea stars were there at first? Solve this problem and explain your reasoning.
Answer:
45 horseshoe crabs and 45 sea stars
Step-by-step explanation:
The aquarium initially contained x crabs and x sea stars.
"After 15 horseshoe crabs and 27 sea stars are removed the ratio of horseshoe crabs to sea stars is 5:3"
(x-15):(x-27) = 5:3
(x-15)/(x-27) = 5/3
3(x-15) = 5(x-27)
3x-45 = 5x-135
90 = 2x
x = 45
Consider the expression.
6 · 60 · 6–3
Which statements are true about the expression? Check all that apply.
The 6 without an exponent is equivalent to the 6 having a 0 exponent.
The sum of the exponents is 2.
Multiply the exponents to simplify the expression.
The expression has a value of StartFraction 1 Over 36 EndFraction.
An equivalent expression is 65 · 6-7.
Answer:
4. The expression has a value of 1/36 . True
5. An equivalent expression is (6)^5. (6)^- 7 True
Step-by-step explanation: Not true. The 6 without an exponent is equivalent to the 6 having a 0 exponent.
Any number having an exponent zero has a value equal to 1.
6 · (6)^0 · (6)^–3
= 6.1.1/216
= 1/36
= (6)^-2
2. The sum of exponents is 2.
False ( the sum of exponents is -2)
3.Multiply the exponents to solve the expression .
False when the bases are the same the exponents are added or subtracted.
4. The expression has a value of 1/36 .
True
5. An equivalent expression is (6)^5. (6)^- 7
True
the correct answers are D and E. I just got this right. hope it helps
I had $13.00. My Mom gave $10.00. My Dad gave $30.00. My Aunt, My Uncle and grandma gave me $100.00. I had another $7.00. How much did I have?
Answer:
Step-by-step explanation:
u had $13. ur mom gave u $10. ur dad gave u $30. ur aunt, uncle, and grandma gives u $100. u had another $7. u have a total of $160.
100 + 30 = 130 + 10 = 140 + 13 = 153 + 7 = $160Answer:
$360
Step-by-step explanation:
Start off with 13, add 10 makes it 23
23 + 30 = 53
Aunt, Uncle, and grandma each give you 100
100 x 3 = 300
300 + 53 = 353 + 7 = $360
In conclusion, your family spoils you
Subtract.
78.9−5.64 Pls help
Answer:
73.26
Step-by-step explanation:
I hope this helps :)
Answer:
73.26 is your answer.
Step-by-step explanation:
A certain forest covers an area of 1900 km2 . Suppose that each year this area decreases by 4.75% . What will the area be after 8 years? Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
1000 klgram Sha bebe
And so many things I have to do whit a person do and every thing
Thank you
Can anyone help plz and thx
Lisa makes $78.37 per day. If she works 8 12
hours, how much does she make in 1 hour?
There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?
Answer:
like 20 percent
Question 10 Multiple Choice Worth 4 points)
(02.05 LC)
Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x - 2)?
The graph of y = f(x) will shift left 2 units.
The graph of y = f(x) will shift right 2 units.
The graph of y = f(x) will shift up 2 units.
The graph of y=f(x) will shift down 2 units.
Answer:
Your answer is A
Step-by-step explanation:
The graph of y = f(x) will shift left 2 units.
Can someone please solve number 6 for me it’s urgent
Answer:
Value of blank = 1 / (-5x)
Step-by-step explanation:
Given:
__ × (-5x) = 1
Find:
Value of blank
Computation:
Assume;
Blank = y
So,
y × (-5x) = 1
y = 1 / (-5x)
Value of blank = 1 / (-5x)
What is the y intercept of the line?
-3
-1
4
2
Answer:
2
Step-by-step explanation:
PLEASE HELP I WILL GIVE YOU BRAINLIEST
Answer:
yoo echo stop deleting my answers bro
Step-by-step explanation:
Monica paid sales tax of $105 when she bought a new TV. If the sales tax is 5%, what was the cost of the TV?
Answer:
$31.5
Step-by-step explanation:
X * 5% = $1.50
X = $1.50 / 5%
Or by using simple rule of three:
If 5% is $1.50
Then 100% is X
So you obtain = $30
Now you just need to sum The net prices and the taxes
Net + tax = Total Charge
$30 + $1.5 = $31.5
what is 50 divided by 5 times 2 divided by 4
Answer:
5 ma boiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
Answer:
.8x
Step-by-step explanation:
PLS HELP ME!! FIND THE PARALLEL LINES!!
Answer:
F to D and A to E
Step-by-step explanation:
if they were to continue forever they wouldn't touch but the other lines would (sorry if this isn't correct)
Need help with this please having a hard time with it
Answer:
6.28 m^2
Step-by-step explanation:
4^2 x Pi=area of full circle
45 degree segment =1/8 of a full circle
16x3.14159=50.27 m^2 area of full circle
50.27/8=6.28 m^2 area of 1/8 circle
Answer:
90 square meters
Step-by-step explanation:
Formula for sector area--- SECTOR AREA=r^2 a/2
*Multiply the central angle by the radius squared- 45×4=180squred meter
*then, Divide by 2- 180÷2=90
cómo resolver sopa de números encontrando resultados de divisiones por ejemplo 436/2
Answer:
Lo resuelves como de costumbre :)
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
Given the Isosceles Trapezoid, find the measure of the missing? angle.
Answer:
s＝65
Step-by-step explanation:
T to S is 180
180－115=65
14). Deconstruct to find the area of the figure below 10 ft. 14 ft.
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
PLS HELPP ! I’m being timed
Answer:
C
Step-by-step explanation:
What I think
Which property is used in the first step to solve this equation
4(x-6)=5
4x-24 = 5
4x= 29
x=29/4
Answer:
Distributive property
Step-by-step explanation:
5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.