Mathematics College

HELP ASAP

if dy/dx = 2 - y, and if y = 1 when x = 1, then y = ??? PHOTO ATTACHED

HELP ASAPif Dy/dx = 2 - Y, And If Y = 1 When X = 1, Then Y = ??? PHOTO ATTACHED

Answers

Answer 1

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

I really need help with this stadistic problem

Answers

Answer:

the mean is 5.8 and the median is 6

Step-by-step explanation:

if you multiply the test scores by their frequencies and then add up all those values, and then divide by the number of test scores, you get 5.8

for the median, you write out all the test scores in order from least to greatest and how many times they appear. then if you go to the middle of that number line, youll find the median

hi can you please help me with my work​

Answers

It would be the one under you have chosen because the solution to the problem is x<16. So we know that “x” has to be less than 16. So the arrow should be pointing left.


Have an awesome day and I hoped that helped <3

find the least whole number which must be added to 207 to make it divisible by 17 please no links brainliest​

Answers

Answer:

14

Step-by-step explanation:

I am preatty sure its 14 hope this helps

1.6 x 0.7 =
plsss help

Answers

Answer:

1.12

Step-by-step explanation:

Answer:

1.12

Step-by-step explanation:

Of nine executives in a business firm, four are married, three have never married and two are divorced. Three of the executives are to be selected for a promotion. Let Y1 denote the number of married executives and Y2 be the number of never-married executives among the three selected for promotion. Assuming that the three are randomly selected from the nine available.
a. Find the joint PMF for y1 and y2
b. Find the marginal probability distribution of y1
c. If we let y3 denote the number of divorced executives among the three selected for promotion. Find P(y3 =1 | y2 = 1)
d. Are Y1 and Y2 independent? Why?
e. Find cov(Y1,Y2). Does the sign surprise you? Why?

Answers

Answer:

werere

Step-by-step explanation:

were

I need an answer! pls ill brainlist

Answers

Answer:

die

Step-by-step explanation:

so in order to die you must die

The value V of a certain automobile that is t years old can be modeled by V(t) = 14,651(0.81). According to the model, when will the car be worth each of the following amounts?
(a) $8000
(b) $6000
(c) $1000
- The car will be worth $8000 after years.
(Type an integer or a decimal rounded to the nearest tenth as needed.)

Answers

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

[tex]V(t) = 14651(0.81)^{t}[/tex]

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

[tex]V(t) = 14651(0.81)^{t}[/tex]

[tex](0.81)^t = \frac{V(t)}{14651}[/tex]

[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]

(a) $8000

V(t) = 8000

[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]

The car will be worth $1000 after 12.7 years.

At a party, if 1/5 of one sheet
cake is uneaten and Tom eats
1/6 of the uneaten cake, what
fraction of the original cake
did Tom eat?

Answers

Answer:

Step-by-step explanation:

He eats 1/6 or 1/5 of the original cake.

All  you need to do to get the answer is multiply the denominators.

1/5 * 1/6 = 1/30

If there was something in the numerators. you would multiply them too.

So suppose the two fractions were 3/5 and 2/7

The answer would be 3 * 2 / 5 * 7 = 6 / 35

General rule

When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).

What is the value of k?
k = 28
k = 29
k = 31
k = 42

Answers

Answer:

k=29

Step-by-step explanation:

we know that

-------> by supplementary angles

Solve for k

Combine like terms in the left side

Substract  both sides

Divide by  both sides

   

therefore

the answer is the option

B

 

The answer is 29
K is equal to 29

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]°
7D
120%
B
C
Angles are not drawn to scale.
Enter

Answers

Answer:

the answer woiuld be 60

Step-by-step explanation:

supplementary angles are 180

180-120=60

x=60

If 2 power x= 1, then find the value of x.​

Answers

Answer:

x = 0

Step-by-step explanation:

2^x = 1

The only way a number can equal one when there's an exponent is when the exponent is 0

x = 0

2^0 = 1

a group of marine biologists on a marine Expedition recorded the altitudes which they found for animals which inequality correctly compares the altitudes of which they found the animals​

Answers

Answer:

garden eel < great white shark < sea urchin < sea turtle

Step-by-step explanation:

HELP ASAPP! WILL GIVE MOST BRAINILIST

Answers

Answer:

6/7 or 85.7%

Step-by-step explanation:

As per table experimental probability of sum of two numbers > 5 is 6 out of 7.

So in number, the probability is:

p = 6/7 or 85.7%

Find two rational numbers between -1,36 and -1,35​

Answers

Step-by-step explanation:

-1,355= -1355/1000

-1,352= -1352/1000

How many 18-pound patties can she make from 78of a pound of hamburger? We can 7 patties out of 78pound of hamburgers

Answers

Answer: 4.3

Step-by-step explanation:

she can make 4.3, 18 pound patties out of a 78 pound of hamburger

Kathryn is 1.6 meters tall. Convert her height to feet. Round to the nearest tenth.

Answers

Answer:

1.6 m = 5.3 ft

A website administrator is considering using one of the two models above to predict the total number of purchases, P, made x weeks after the website's advertisin(g campaign begins. How many more purchases are predicted by the exponential model than by the linear model 5 weeks after the advertising campaign begins?

P = 2000x
P= 500(2^x)

A. 6000
B. 8000
C. 10,000
D. 16,000

Answers

9514 1404 393

Answer:

  A.  6000

Step-by-step explanation:

Use x=5 and evaluate each model.

Linear model

  P = 2000(5) = 10,000

Exponential model

  P = 500(2^5) = 500(32) = 16,000

The difference in the predicted value is ...

  16,000 -10,000 = 6,000 . . . more are predicted by the exponential model

help me with this please real quick

Answers

Answer:

a is correct

Step-by-step explanation:

sides get reduced by a half

angles don't change

Answer:

The Answer is A)

Step-by-step explanation:

sides get reduced by a half

angles don't change AND CAN YOU MAKE ME THE BRAININIEST.

someone answer this please

Answers

Answer:

7.5

Step-by-step explanation:

The decimal form would be 7.549... when put in a calculator. When rounded, it will be 7.5

(-7)+b=(-11) what does b=

Answers

Answer:

-4 or 4

Step-by-step explanation:

:)

A 12-sided sold has faces numbered 1 to 12. The table shows the results of rolling the solid 200
times Find the experimental probability of rolling a number greater than 10
Results
Number
1 2 3 4 5 6 7 8 9 10 11 12 Total
rolled
Frequency 17 13 15 15 17 14 15 32 16 14 15 17 200
The experimental probability of rolling a number greater than 10 [#/#] is
(Simplity your abswer)​

Answers

Answer:

4/25 maybe?

Step-by-step explanation:

A bear weighs 4,521 grams. How much does the bear weigh in kilograms

Answers

Answer:

A bear weighing 4,521 grams would weight 4.521 kilograms

Arithmetic Summation
Find the sum of the first n terms of the arithmetic series.
40 + 37 + 34 +31 +...

n=20

Answers

Answer:

142

Step-by-step explanation:

hope this help love y all!

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

If I did this right the answer should by: The results are statistically significant at the 0.05 level of significance in showing that the proportion of people in rural areas who want the defending champions to win the game is different than the proportion of people in urban areas.

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.

Learn more:

https://brainly.com/question/16125042

Which chocolate chip cookies have the greater spread in the number of chips per cookie?

is it
Regular
OR
Reduced Fat

Answers

reduced fat had the greater spread

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

Which function shows the function f(x) = 3^x being
translated 5 units to the left?
A. f(x) = 3^x – 5
B. f(x) = 3^(x+5)
C. f(x) = 3^(x - 5)
D. f(x) = 3^x + 5

Answers

Answer:

B.

Step-by-step explanation:

When you want to move a function on a graph from left to right, you "move" the x, and when moving the x; it's the opposite. So, C would move the function 5 units to the right because it is subtracting.

The correct option will be f(x) = 3^(x - 5)

What is translation?

A translation is a transformation that moves every point in a figure the same distance in the same direction.

Given that, the function f(x) = 3ˣ, being translated 5 units to the left.

Since, the function is being translated in left, therefore, we subtract 5 from x,

i.e. f(x) = 3⁽ˣ⁻⁵⁾

Hence, f(x) = 3⁽ˣ⁻⁵⁾ is the function shows the function f(x) = 3ˣ being

translated 5 units to the left.

For more references on translation, click;

https://brainly.com/question/12463306

#SPJ2

Solve the following inequality. x >-1


Answers

Answer:

( − 1 , ∞ )

Step-by-step explanation:

( − 1 , ∞ )

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
8
9

Answers

A squared plus b squared equals c squared. 8 squared is 64 and 9 squared is 81. 64+81 is 145. 145 square root is rounded to 12.

HELP PLEASE BRAINLIEST AND ITS EASY\


What is the mean of the values in the dot plot?



Enter your answer in the box.

Answers

Answer: 2

Step-by-step explanation:

2+2+1+3=8/4=2

*20 POINTS* find the value of x ? x = ___

Answers

Answer:

5

Step-by-step explanation:

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