If f(y) = 8 + e-9y, find f'(y). Use exact values.

Answers

Answer 1

Answer:

[tex]f'(y) = -9e^{-9y}[/tex]

Step-by-step explanation:

The given function is :

[tex]f(y) = 8 + e^{-9y}[/tex]

We need to find the value of f'(y).

[tex]f'(y)=\dfrac{d}{dy}[8+e^{-9y}][/tex]

[tex]=\dfrac{d}{dy}(8)+\dfrac{d}{dy}(e^{-9y})\\\\=0+e^{-9y}\dfrac{d}{dy}(-9y)\\\\=-9e^{-9y}[/tex]

So, the value of f'(y) is equal to [tex]-9e^{-9y}[/tex].


Related Questions

10.

Which explanation provides the best real-world scenario of the graph?


A. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 – 38 gives the height of the object after t seconds.

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

C. If an object is dropped from a height of –16 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Answers

Answer:

B. If an object is dropped from a height of 38 feet, the function h(t) = –16t2 + 38 gives the height of the object after t seconds.

Step-by-step explanation:

The equation that models the movement of the object is:

 

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

 

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP Which statement would be LEAST LIKELY to occur based on the probability?

Answers

Answer:

i believe the answer is 1/9, sry if im wrong

Step-by-step explanation:

 


I need help plss!! Thankyou in advance!!

The sum of Bill's age and
Nancy's age is 45. In three years, bill will be three times as old as Nancy
was four years ago. Create a system of linear equations to represent the relationship between
Bill's age and Nancy's age. Solve the system graphically to determine how old Bill and Nancy are
today?

Answers

Answer:15

Step-by-step explanation:

The ages and grades of some of the 17 girls on a club soccer team are
shown in the table.
15 years old
16 years old
0
2
9th grade
10th grade
10
Which two-way frequency table correctly shows the marginal frequencies?

A. 9th grade, 15 years old: 2. 16 years old: 0. total: 2. 10th grade, 15 years old: 15. 16 years old: 10. total: 25. total, 15 years old: 17. 16 years old: 10. total: 27.

Answers

Answer:

Table D

Step-by-step explanation:

Looking at the tables, we observe that:

A. Total number is 27, but should be 17 ⇒ incorrectB. First column total is wrong; 2 + 5 = 10 ⇒ incorrectC. Total is 19, but should be 17 ⇒ incorrectD. All look correct

Answer:

The answer is D.

Step-by-step explanation:

who is smart ???

12-12+1+1+3-18=

Answers

(◕ᴗ◕✿)(◕ᴗ◕✿)(◕ᴗ◕✿)(◕ᴗ◕✿)

I need help with number 4!

Answers

Answer:

x = -8, y = 6

Step-by-step explanation:

x + 2y = 4 ------(1)

x + y = - 2

y = - x - 2 ----------(2)

Substitute y in (1)

x + 2(- x - 2) = 4

x - 2x - 4 = 4

- x = 4 + 4

x = -8

Substitute x in (2)

y = - (- 8) - 2 = 8 - 2 = 6

X is -8 and Y is 6 I hoped this helps!

You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14

Answers

Answer:

9 candies

Step-by-step explanation:

You are required to find the number of candies in your pocket

Let

x = number of candies in your pocket

A friend gives you five more candies.

Total candies = 14

This can be represented by the equation:

Total candies = candies in your pocket + candies your friend gave you

14 = x + 5

14 - 5 = x

9 = x

x = 9 candies

x = number of candies in your pocket = 9

select the correct answer from the drop-down menu
1.
2
3
4
5
6
7
T
9
8
10
11
This graph represents the inequality
1. X + 2 <4
2. 2x > 3
3. X + 6 < 12
4. 2x > 12

Answers

Answer:2x>3

Step-by-step explanation:

2

>

3

3

+

6

<

1

2

4

2

>

1

2

Question 5: Write each of the following in the form 9^n
(a) 81
(b) 3
(C) 27​

Answers

Answer:

  a) 9^2

  b) 9^(1/2)

  c) 9^(3/2)

Step-by-step explanation:

It is perhaps easier to start by using 3^n.

  3 = 3^1

  27 = 3^3

  81 = 3^4

Recognize that 3 = 9^(1/2) and replace 3 in each of the above. The applicable rule of exponents is (a^b)^c = a^(bc).

a) 81 = (9^(1/2))^4 = 9^2

b) 3 = 9^(1/2)

c) 27 = (9^(1/2))^3 = 9^(3/2)

Answer:

(a) 9^2

(b) 9^0.5

(c) 9^1.5

Step-by-step explanation:

We need to find n such that 9^n = value indicated.

Recall that n=2 is a square, so

(a) 9^2=9*9=81

Recall that n=0.5 (or 1/2) is a square root, because 9^0.5 * 9^0.5 = 9^1 = 9, so

(b) 9^0.5 = 3, because 3*3 = 9

Recall that multiplication of two powers with the same base is the sum of the exponents, e.g. 9^a * 9^b = 9^(a+b).

Therefore,

(c) 27 = 9*3 = 9^1 * 9^0.5 = 9^(1+0.5) = 9^1.5

reduce 36/54 to simplest terms in fractions

Answers

Answer:

2/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

36/54 = 2*18 /2*27 = 18/27 yet can be reduced further

18/27 = 3*6/3*9 = 6/9 we are not done

6/9 = 3*2/3*3 = 2/3 final answer

How do you find the area of a triangle? Is it base x height divided by 2???

Answers

Answer:

yes  The area of a triangle is b x h / 2 (base times height divided by 2)

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{\frac{b*h}{2}}[/tex]

You should be correct.  

»»————- ★ ————-««  

Here’s why:  

The given formula for a triangle is similar to the formula for area of a square or rectangle. A triangle is basically a 'half-rectangle'.

⸻⸻⸻⸻

[tex]\boxed{\text{Area of a triangle:}}\\\\A = \frac{b*h}{2}\\\\\boxed{\text{Key:}}\\\\\rightarrow \text{B - Base}\\\\\rightarrow \text{H - Height}[/tex]

⸻⸻⸻⸻

The area of a triangle is the half the product of the base and height of the triangle.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Two similar pyramids have base edges 3 and 5. Find the following (use a colon between the numbers):

a) the ratio between their altitudes =

b) the ratio between their base areas =

c) the ratio between their lateral edges =

d) the ratio between their volumes =

e) the ratio between their lateral areas =

Answers

Step-by-step explanation:

a) the ratio between their altitudes = 3:5

b) the ratio between their base areas = 9:25

c) the ratio between their lateral edges = 3:5

d) the ratio between their volumes = 27:125

e) the ratio between their lateral areas =9:25

John receives a $20000 salary for working as an agent. If John has to spend $11000 of his salary on expenses each year, then what percent of John's money does he have to spend?

Answers

Answer:

55%

Step-by-step explanation:

Percent spent = (amount spent / total income) x 100

( $11000 /  $20000) x 100 = 55%

What rule(function) does the table below represents?

Answers

Answer:

The function that represents the table is [tex]f(x) = 15\cdot 2^{x+1}[/tex].

Step-by-step explanation:

The table represents the following rule: A function whose initial values are [tex]x = -1[/tex] and [tex]f(x) = 15[/tex], as for each increase of the input by -1, the output is doubled. Mathematically speaking, we construct the following geometric progression:

[tex]f(x) = a_{o}\cdot 2^{x-x_{o}}[/tex] (1)

Where:

[tex]a_{o}[/tex] - Initial output.

[tex]x_{o}[/tex] - Initial input.

[tex]x[/tex] - Input

[tex]f(x)[/tex] - Output

If we know that [tex]a_{o} = 15[/tex] and [tex]x_{o} = -1[/tex], then the function that represents the table is:

[tex]f(x) = 15\cdot 2^{x+1}[/tex]

Please help?

(No link <3)

Answers

Answer:

200

Step-by-step explanation:

What is the answer ?

Answers

Answer:

A. AB≈ DE

is the answer to this question

Find two numbers that multiply to be -18 and add up to be -7

Answers

It’s (-9,2) or (-2,9)

Identify a, b and c in the quadratic equation.

-x2 + 31x + 7 = 0

Answers

Answer:

a is -1

b is 31

c is 7

Step-by-step explanation:

-x^2+31x+1=0

ax^2+bx+c=0

If g(t) = 2/ (t + 3), then g (?) = 2/ (4a + 3)

Answers

Answer:

may be the answer is g(4a)

Step-by-step explanation:

g(4a) = 2/(4a +3)

't' is replaced by '4a'.

Solve for the variable

Answers

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

Identify and set up

6x° + 36° + 108° = 180°

Step 2: Solve for x

[Addition] Combine like terms:                                                                         6x° + 144° = 180°[Subtraction Property of Equality] Subtract 144° on both sides:                    6x° = 36°[Division Property of Equality] Divide 6 on both sides:                                 x = 6

Answer:

absolutely true

Step-by-step explanation:

success :))

If a researcher conducts a study of the leadership styles of higher executives, what could be a potential threat to external validity from randomly sampling from a representative sample of U.S. companies

Answers

Answer:

The answer is "a disproportionate number of male leaders".

Step-by-step explanation:

Inside the event of study on styles of leadership within upper management, this excess of males threatens objectivity as a consequence of the random sample of typical US companies. This disproportion number of men were. The one method we can solve this issue is by randomly specific release to conditions. So we may divide our hundred people into 2 categories and claim.

Geometry/////
✨find the surface area of the right cone shown. (Around the result to two decimal place)✨

Answers

Answer:

A = 388.58 cm^2

Step-by-step explanation:

For a cone whose base has a radius R, and a hypotenuse S, the area is:

A = pi*R^2 + pi*R*S

Where pi = 3.14

In this case, we can see that the diameter is: 15cm

Then the radius, half of the diameter, is:

R = 15cm/2 = 7.5cm

The hypotenuse is 9cm, then S = 9cm

A = 3.14*(7.5cm)^2 + 3.14*(9cm)*(7.5cm) = 388.575 cm^2

Rounding to two decimal places, we need to look at the third one, which is a five, so we need to round up:

A = 388.58 cm^2

Help I'm gonna fail
A pet store owner had her staff count the number of fish in each tank. Which interval has the fewest tanks?

Answers

Its would be 41-60 I’m pretty sure
it is 41-60

explanation:

Which set of numbers shows all the factors of 18?
18, 36, 54, 72, 90
9, 18, 27, 36
1, 3, 6, 18
1, 2, 3, 6, 9, 18

Answers

Answer:

last set

Step-by-step explanation:

1 x 18 = 18

2 x 9 = 18

3 x 6 = 18

Answer The last set

:

Step-by-step explanation:

reflect C over the y axis​

Answers

Answer:

C' (- 3, 2 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

C (3, 2 ) → C' (- 3, 2 )

Help,no links and please don’t guess. Will give the brainliest . It is a 4 grade question

Answers

Answer:

.7 or 7/10

Step-by-step explanation:

buddy+teddy:2.9

socko+peanut:2.2

2.9-2.2=.7

Find the area and round to the nearest tenth. Giving brainlessly

Answers

Answer:

38.6 sq ft

Step-by-step explanation:

This composite figure consists of a trapezoid and a triangle on top

A(trapezoid) = 1/2h(sum of bases)

= 1/2(3.6)(7+9)

= 8(3.6)

= 28.8

A(triangle) = 1/2bh

base = 7

height = 6.4-3.6 which is 2.8

A = 1/2(7)(2.8)

= 3.5(2.8)

= 9.8

28.8 + 9.8 = 38.6

Someone help pleaseee anyone???

Answers

Answer:

Step-by-step explanation:

the answer is d

b/c when you see the parabola lie in -3<x>1

it is down ward because the function is negative

hey! i’ll give brainliest please help

Answers

Answer:

I think it's a man's car breaks down while driving to work

Step-by-step explanation:

it should be B

Answer:

I believe it's d !!

Step-by-step explanation:

External Conflict: ... Man-the character is in conflict with another person in the story. Man vs. Society-the character faces conflict due to some type of societal norm that is in conflict with his/her beliefs or actions.

PLEASE HELP 30 POINTS

Answers

Answer:

B, B, C, and im not sure about the last one

Step-by-step explanation:

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