HELP ASAP
if dy/dx = 2 - y, and if y = 1 when x = 1, then y = ??? PHOTO ATTACHED
Answers
Answer:
y=2-e^(1-x)
Step-by-step explanation:
This can be solved by separating the variables.
dy/dx=2-y
Multiply both sides by dx
Divide 2-y on both sides
dy/(2-y)=dx
Integrate both sides
-ln|2-y|=x+c
Multiply both sides by -1
ln|2-y|=-x-c
Equivalent logarithm form
2-y=e^(-x-c)
Minus 2 on both sides
-y=e^(-x-c)-2
Multiply both sides by -1
y=-e^(-x-c)+2
The ordered pair (1,1) belongs to the curve so we have
(I'm going to use this earlier form -ln|2-y|=x+c)
-ln|2-1|=1+c
-ln|1|=1+c
-0=1+c
0=1+c
Minus 1 on both sides
-1=c
Answer:
y=-e^(-x-(-1))+2
Or
y=-e^(-x+1)+2
Or
y=2-e^(1-x)
Related Questions
Carl paid $40 for 12.5 gallons of gas.After calculating,he said that the cost per gallon was about 31 cents per gallon.Is there anything wrong with Carl's thinking?.
Answers
Answer:
Well yes, because it should have cost $3.2 PER gallon
Step-by-step explanation:
Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.
BOTS ARE LEGIT EVERYWHERE LIKE I CANT EVEN FIND A SPOT FOR PPL TO POST THEIR REAL ANSWER PLS ANYONE, BRAINLY NEEDS TO BE BETTER AT THIS
Answers
Answer:
y=-5x-3
Step-by-step explanation:
Slope: -5/1 =-5
Y2-Y1/X2-X1=2-7/1-2=-5/1
Y-intercept: -3
the volume of the cuboid 320cm^3 and the height is 5 cm. If the cuboid has a square base, what if the length of one side of the base?
Answers
Answer:
Step-by-step explanation:
32 cm
A fair coin and a spinner with an
equal chance of landing on the
numbers 1, 2, 3, 4, 5, and 6 are used
in a game. What is the probability of
getting an even number on the
spinner and heads on the coin?
A 1/12
B 1/6
C 1/4
D 1/2
Answers
Answer:
1/4
Step-by-step explanation:
There are 3 evens given the 6 numbers
P(even) = 3/6 =1/2
There is 1 head on a two sided coin
P(head) = 1/2
Multiply the probabilities together since they are independent events
P(even, heads) = 1/2*1/2 = 1/4
Answer:
Solution :-For odd
P = 3/6
P = ½
For head
P = ½
For both
½ × ½ = ¼
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Eric bought a new car for $24,000. Each year, the car depreciates 15% in value. To the nearest dollar, how much will the car be worth in 6 years?
Hint: Create an exponential equation in the formy = a (1 – r) and then evaluate the equation at t= 6 years.
6
Type your answer...
7
Previous
Answers
Answer:
$9052
Step-by-step explanation:
a= starting car price
(1-r)= exponential decay
r= rate
t= # of years
Equation:
a(1-r)^t
Plug in the numbers.
a= 24000 r=15%=0.15 (1-r)= 1-0.15 = 0.85
a(1-r)^t = 24000(0.85)^6
= 24000(0.37714951562)
= 9051.588375
= 9052
Shaquira's monthly income is $2,500. Her monthly budget is represented by the circle graph. Monthly Budget Utilities 18% Entertainment 9% Rent 51% Gasoline 7% Food 15% Which part of Shaquira's budget is equal to $175?
Answers
Answer:
Gasoline 7%
Step-by-step explanation:
2500 * 0,07 = 175
Number * 0, percent = answer
Gasoline is the part of Shaquira's budget which is $175.
What is Percentage?In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
As per the given data:
Shaquira's monthly income = $2,500
Monthly Budget Utilities = 18% of income
Entertainment = 9% of income
Rent = 51% of income
Gasoline = 7% of income
Food = 15% of income
To find which part is $175 let's calculate all parts:
Monthly Budget Utilities = (18/100) × 2,500 = $450
Entertainment = 9% × 2,500 = $225
Rent = 51% × 2,500 = $1275
Gasoline = 7% × 2,500 = $175
Food = 15% × 2,500 = $375
Hence, gasoline is the part of Shaquira's budget which is $175.
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A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.
Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.
Enter the correct answers in the boxes.
One Way:
Second Way:
Answers
Answer:
One Way: 79 + 62H + 15H = X
Second Way: 79 + ((62 + 15) x H) = X
Step-by-step explanation:
Given that a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:
79 + 62H + 15H = X
So, for example, if the job had lasted 2 hours, the equation would apply as follows:
79 + 62x2 + 15x2 = X
79 + 124 + 30 = X
233 = X
79 + ((62 + 15) x H) = X
In the case, if the work had lasted 1 hour, the equation would apply as follows:
79 + (62 + 15) x 1) = X
79 + 77 x 1 = X
79 + 77 = X
156 = X
The total charge when there is an emergency is $79 + $77h. The total charge when there is no emergency is $79 + $62h.
There are two ways of representing the total charges of the plumber,one when there is an emergency call and two when there is no emergency call. The total charge a function of the one-time service fee, labor charge and the surcharge.
Total charge when there is an emergency = one-time service fee + labor charge per hour + surcharge per hour
$79 + $62h + $15h
= $79 + $77h
Total charge when there is no emergency = one-time service fee + labor charge per hour
$79 + $62h
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What is the range of the function on the graph?
Answers
Range is the output values which are the y values.
The dot is at y = 2 and the line moves upward to the right off the graph. This means the line will continue to infinity.
The range would be 2 to infinity.
(2, infinity)
What is 1/4 divided by 4
Answers
According to the document Current Population Survey, published by the U.S. Census Bureau, 30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level. If 100 such adults are selected at random, determine the probability that the number who have ahigh school degree as their highest educational level is a. Exactly 32
Answers
Answer:
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.
This means that [tex]p = 0.304[/tex]
100 such adults
This means that [tex]n = 100[/tex]
Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32
This is P(X = 32).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803[/tex]
0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.
4) Divide x^4 – 14x^2 + 45 by (x - 3)
Answers
Answer:
Ok 9-8=1 times 2 = 2
Step-by-step explanation:
Answer:
x^3−5x+3x^2−15
Step-by-step explanation:
Common math
kendrick bought 5 gallons of gass for 16.25. how much did kendrick pay per gallon?
Answers
Answer:
$3.25 per gallon
Step-by-step explanation:
Answer: he paid 3.25 for each gallon
Step-by-step explanation:
Divide the money (16.25) by the gallon (5) and get 1 gallon for 3.25
voting rates in presidential elections from 1996-2012 are modeled below
Answers
The statement that does not model the situation:
(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.
What is a confidence interval?A confidence interval is a range of values that are constrained by the statistic's mean and that is likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.
Given:
Voting rates in presidential elections from 1996-2012 are modeled below.
Voting Rates in Presidential Elections, by Age, for the Voting-Age Citizen Population: 1996-2012
The interpretation of the statements is given below;
(1) For citizens 18-29 years of age, the rate of change in voting rate was greatest between the years 2000-2004.
No, the greatest was in the year 2008.
(2) From 1996-2012, the average rate of change was positive for only two age groups.
True, the age groups are 39.6 to 45.0 and 69.1 to 72.0.
(3) About 70% of people 45 and older voted in the 2004 election.
Yes.
(4) The voting rates of eligible age groups lie between 35 and 75 percent during presidential elections every 4 years.
Yes, the interval difference is 4.
Therefore, option (1) is incorrect.
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Which expression will determine the perimeter, in inches, of the rectangle? O 10 x 7 10 + 7 O (2 x 7) + (2 x 10) O 10 x 7 x 7 x 10
Answers
Answer:
[tex](2 * 7) + (2 * 10)[/tex]
Step-by-step explanation:
The missing details in the question are:
[tex]Length = 10[/tex]
[tex]Width = 7[/tex]
Required
The perimeter
This is calculated as:
[tex]Perimeter = 2 * (Length + Width)[/tex]
So, we have:
[tex]Perimeter = 2 * (10 + 7)[/tex]
Open bracket
[tex]Perimeter = 2 * 10 + 2 * 7[/tex]
Rewrite as:
[tex]Perimeter = (2 * 7) + (2 * 10)[/tex]
Answer:
c
Step-by-step explanation:
In a lab experiment, the decay of a radioactive isotope is being observed. At the
beginning of the first day of the experiment the mass of the substance was 500 grams
and mass was decreasing by 9% per day. Determine the mass of the radioactive
sample at the beginning of the 17th day of the experiment. Round to the nearest tenth
(if necessary).
Answers
Answer:
Approximately 110.6 grams remain at the beginning of the 17th day.
Step-by-step explanation:
At the beginning of the first day, the mass of the substance was 500 grams.
It decreases by 9% per day.
And we want to determine the mass of the sample at the beginning of the 17th day.
First, we need to find our ratio of decay. Since it decreases by 9% or 0.09 each day, the mass of the substance after each subsequent day will be 100% - 9% or 1 - 0.09 or 0.91 of the previous day.
We can write a exponential function to model this. An exponential function has the form:
[tex]f(x)=ar^x[/tex]
Where a is the initial term and r is the rate.
Let x represent the number of days after the first day. Substitute 500 for a and 0.91 for r:
[tex]f(x)=500(0.91)^x[/tex]
The 17th day is 16 days after the first day. So, the amount of mass remaining on the beginning of the 17th day is when x = 16. Substitute:
[tex]f(x)=500(0.91)^{16}[/tex]
Approximate. Therefore:
[tex]f(x)\approx110.6\text{ grams}[/tex]
Approximately 110.6 grams remain at the beginning of the 17th day.
Help with this :))))))))))))
Answers
Answer:
24
Step-by-step explanation:
120/6=20
300/15=20
360/18=20
480/20=24
Check:
480/24=20
Answer: 20???
Step-by-step explanation:
what is the equation of the line that passes through the point (3,4) and has a slope of -2/3
Answers
Аnswer is in а photo. I couldn't аttach it here, but I uploаded it to а file hosting. link below! Good Luck!
xlnk․cf/tcMG
Answer:
y= -2/3x+6
Step-by-step explanation:
A poll was conducted during the final game of the basket season to determine whether fans wanted to see the defending champions win the game or the challenging team win the game. From the poll, 216 of the 374 residents sampled from urban areas want the defending champions to win the game. In more rural areas, 304 of the 466 residents polled want the defending champions to win the game. Assuming lo an has nothing to do with team preference, the probability that the data gathered was the result of chance is calculated to be 0.03. What is the correct interpretation of this calculation?
Answers
There will be a significant difference between the two proportions. A further explanation is given below.
As shown by the data, families in remote regions are much more likely to desire the protecting winners to control the tournament than individuals throughout large cities, and this difference is statistically substantial.Throughout this case, it's because the p-value of further 0.03 would be significantly less than the threshold of 0.05 significance. As a result, we may claim that perhaps the results are statistically significant at such a 0.05 range.
Thus the above is the appropriate solution.
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A school board is interested in knowing how the teachers in the school district feel about the new professional development plan. They create a list of the 245 teachers in the district and randomly select 40 names from the list to survey anonymously.
Which description matches each term?
the 40 randomly selected teachers
the list of all teachers in the school district
the 245 teachers in the school district
sample
arrowRight
population
arrowRight
frame
Answers
Answer:
frame: the list of all teachers in the school district
population: the 245 teachers in the school district
sample: the 40 randomly selected teachers
Step-by-step explanation:
hope this helped !! :) #plato/edmentumfam
Answer:
Answer:
frame: the list of all teachers in the school district
population: the 245 teachers in the school district
sample: the 40 randomly selected teachers
Step-by-step explanation:
correct on plato:)
Write 5 +x= 3x2 in standard form.
An equation in standard form is
Answers
Answer:
Here's link to the answer:
...................
Step-by-step explanation:
Evaluate each expression (25 -3/5) 1/3
Answers
Answer:
1/5
Step-by-step explanation:
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Are these fractions equivalent or nonequivalent? 2/3 8/12
Answers
Answer:
The answer is Equivalent 8/12 is equivalent to 2/3 so they are equivalent
Step-by-step explanation:
Equivalent
Explanation:
2 x 4 = 8
3 x 4 = 12
Find the solution of the system of equations.
Answers
Answer:
(1, -7)
Step-by-step explanation:
If you need the work:
5x+3y =-16
5x= -3y -16
x= -3/5y - 16/5
---------------
Substitute x
-10x-3y=11
-10(-3/5y-16/5)-3y=11
y= -7
---------------
Substitute y
x= -3/5(-7) -16/5
x= 1
Can someone help me please?
Answers
Answer: 4 7/6
Step-by-step explanation:
ANSWERS FOR MATH LESSON 5.05 7TH GRADE
Answers
Answer:
I am so sry i don't know
Step-by-step explanation:
Answer:
file:///C:/Users/mctas/Downloads/4_14_22Project5.05Slides.pdf
attend live lesson on homepage
Simplify 12x . 3X
A.15x
B.15x^2
C.36x
D.36x^2
Answers
Answer:
36x
Step-by-step explanation:
To do something like that you have to out together the like values. In this case both 12x and 13x have the same variable so you can multiply. 12 x 3 = 36 and the stays there so the answer would be 36x
hope this helped :)
Please help me with this ASAP Don’t ANSWER With links please ****
Answers
Given:
Radius of the cone = 6
Slant height of the cone = 10
To find:
The lateral area, surface area and volume of the cone.
Solution:
Let h be the height of the cone. By Pythagoras theorem, we get
[tex]10^2=(6)^2+h^2[/tex]
[tex]100=36+h^2[/tex]
[tex]100-36=h^2[/tex]
[tex]64=h^2[/tex]
Taking square root on both sides, we get
[tex]\sqrt{64}=h[/tex]
[tex]8=h[/tex]
The lateral area of a cone is:
[tex]A_L=\pi rl[/tex]
[tex]A_L=\pi (6)(8)[/tex]
[tex]A_L=48\pi[/tex]
The surface area of a cone is:
[tex]A_S=\pi rl+\pi r^2[/tex]
[tex]A_S=\pi (6)(8)+\pi (6)^2[/tex]
[tex]A_S=48\pi +36\pi[/tex]
[tex]A_S=84\pi[/tex]
Volume of cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
[tex]V=\dfrac{1}{3}\pi (6)^2(8)[/tex]
[tex]V=\dfrac{288}{3}\pi [/tex]
[tex]V=96\pi [/tex]
Therefore, the lateral area of a cone is [tex]48\pi[/tex] sq. units, the surface area of a cone is [tex]84\pi[/tex] sq. units and the volume of the cone is [tex]96\pi[/tex] cubic units.
Solve this for me (geometry)
Answers
Answer:
YES
Step-by-step explanation:
Any line that is tangent to a circle is always perpendicular to the radius of the circle, forming a right angle at the point of tangency.
Therefore, ∆BAC is a right triangle if it satisfy the pythagorean triple rule which says that c² = b² + a²
Where,
c = the hypotenuse = 30
b = 24
a = 2(9) = 18
Thus:
30² = 24² + 9²
900 = 900 (this is true)
Therefore, line AB is tangent to circle O.
The answer is YES
What is the relationship between a and b?
Answers
Answer:
Supplementary angle.
Pls mark Brainliest :)
Step-by-step explanation:
Find the surface area
Answers
1.) First find the area of the circle.
A = πr²
A = 3.14 (3)²
A = 3.14 (9)
A = 28.26 m²
2.) Find the area of the other circle. We need to multiply the radius (3 m) by 2 to solve for the circumference.
3 * 2 = 6 m
3.) Now solve for the circumference of the second circle.
C = πd
C = 3.14 (6)
C = 18.84 m
4.) Find the area of the rectangle. The net of a cylinder includes two circles and a rectangle.
(The circumference that was solved was for us find the area of the rectangle. We only had 7 m for one of the dimensions of the rectangle.)
Now we have 18.84 m as the length of the rectangle and 7 m as the width.
A = lw
A = 18.84 (length) * 7 (width)
A = 131.88 m²
5.) Add the area of the circle two times with the area of the rectangle.
28.26 + 28.26 + 131.88 = 188.4 m²
I hope this helps. Im not good at explaining things, especially about math :’)
