It looks like the given equation says
[tex]xy^8 + e^{y/5} = e[/tex]
When x = 0, you have
[tex]0\cdot y^8 + e^{y/5} = e \\\\ e^{y/5} = e^1 \\\\ \dfrac y5 = 1 \\\\ y=5[/tex]
Differentiating both sides with respect to x gives
[tex]\left(xy^8 + e^{y/5}\right)' = e' \\\\ \left(xy^8\right)' + \left(e^{y/5}\right)' = 0 \\\\ x\left(y^8\right)' + x'y^8 + e^{y/5}\left(\dfrac y5\right)' = 0 \\\\ 8xy^7y' + y^8 + \dfrac15e^{y/5}y' = 0[/tex]
That is, the derivative operator distributes over sums, and the derivative of a constant is 0; apply the product rule on the first term and chain rule on the second; then use chain rule one more time.
Now plug in x = 0 and y = 5, and solve for y' :
[tex]8\cdot0\cdot5^7y' + 5^8 + \dfrac15e^{5/5}y' = 0 \\\\ 5^8 + \dfrac15e y' = 0 \\\\ \dfrac15e y' = -5^8 \\\\ y' = \boxed{-\dfrac{5^9}e}[/tex]
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
I think it is the first one NOQ AND MLJ
which statement best describes the product of 240 and 1/3
the product is less than 99 the product is between 100 and 150 the product is between 200 and 250 the product is greater than 400
Answer:
Step-by-step explanation:
240 x 1/3 = 240/3 = 80
so the answer is: the product is less than 99
please help me out hereeeeeeeeeeee
Answer:
divide by 1k
Step-by-step explanation:
Answer:
Option B:Multiply by 1,000
Step-by-step explanation:
Since,
1 litre = 1000ml
Hence,
3.2 litre = 3.2 × 1000 ml = 3200 ml
So,
Option B that is to Multiply by 1000 is correct.
After sitting out of a refrigerator for a while, a turkey at room temperature (69°F) is
placed into an oven. The oven temperature is 300°F. Newton's Law of Heating
explains that the temperature of the turkey will increase proportionally to the
difference between the temperature of the turkey and the temperature of the oven, as
given by the formula below:
T = Ta + (T. – T.)e-kt
Tg = the temperature surrounding the object
To = the initial temperature of the object
t= the time in hours
T = the temperature of the object after t hours
k = decay constant
The turkey reaches the temperature of 127°F after 3 hours. Using this information,
find the value of k, to the nearest thousandth. Use the resulting equation to
determine the Fahrenheit temperature of the turkey, to the nearest degree, after 5
hours.
Enter only the final temperature into the input box.
Answer:157
Step-by-step explanation:
Can Yall Help please lol. also this is for 20 points.
which set of numbers does not form a right triangle? a.)14,48,50 b.) 15,20,25 c.) 21,28,35 d,) 27,35,46
Answer:
maybe b?
Step-by-step explanation:
Mort bought his house in 2004 for $279,000. it was recently appraised at $186,000. What is the approximate percent of decrease in value
Answer:
33.3%
Step-by-step explanation:
(279,000 - 186,000) / 279,000 = 0.33333333333
0.33333333333*100= 33.3333333333
Formula used:
[tex]V_{2} -V_{1}[/tex] / [tex]V_{2}[/tex] × 100
V2= 279,000
V1= 186,000
The approximate percentage of the decrease in value of the house is 33.33%.
Purchase price of the house = $279,000
Appraisal cost of the house = $186,000
What is a percentage?The percentage is the value per hundred.
The percent of the decrease in value = (279000-186000)/279000 *100
The percent of the decrease in value =(93000/279000) *100
The percent of the decrease in value =33.33%
Hence, the approximate percentage of the decrease in value of the house is 33.33%.
To get more about percentages visit:
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fractions equivalent to 8/4?
Answer:
2/1 4/2 6/3 10/5 12/6 14/7 16/9 18/9
Step-by-step explanation:
Lamont has 30 book pack in boxes. Each box holds 7 books. If he fills each box,how many books are left over?
Answer:
2 are left over
since 7 goes into 30 4 times which makes 28 books. Meaning 2 are going to be left over
what is the greatest common factor (GCF) of the following monomials?
Answer:
2x is the greatest common factor.
Step-by-step explanation:
Looking for what they have in common and what is the highest number they can both go into.
The top of a coffee table is in the shape of a rectangle. The length of the top of the coffee table is 3.5 feet and the area is 10.5 square feet. What is the width of the coffee table?
Answer:3
Hope this helps
-5x+3y-3x+2y show work please
Let tan theta= 5/12, where sin theta> 0.
Find the exact value of sec theta
Answer:
5/13
Step-by-step explanation:
1. We are given tan(x)=5/12 .....(2)
2. On comparing the quantities we get that p=5 and b=12
3. We require the value of hypotenuse(h),
for this we apply the Pythagoreum theorum: p^2+b^2=h^2
⇒h^2=5^2+12^2
⇒h^2=25+144
⇒h^2=169
⇒ h=√169
⇒ h=13
Sin=p/h
p=5
h=13
Sin=5/13
If Andy had an ending balance of $5600 and Charlie had an ending balance of $5624.32, what is the difference in their account balances?
Answer:
charlie has 624.32 more than andy
Step-by-step explanation:
im smart trust
There is a rectangular path for running in Kaylee's town. She runs around the path everyday. one side of the path is 5 1/2 kilometers long. Another sode is 3 1/2 kilometers long.
Answer:
3.45
Step-by-step explanation:
calculator
Answer:
16.8 km
Step-by-step explanation:
Perimeter is the sum of all sides.
For a rectangle , perimeter = lenght + lenght + base + base
Perimeter = 5.2 + 5.2 + 3.2 + 3.2
Perimeter = 16.8 km
what does 2 x 8/10 equal?
Answer:
1.6
Step-by-step explanation:
8/10 x 2
2 divides 10
8/5
8 divided by 5=1.6
please give me branliyest
How to find surface area of a composite figure
Step-by-step explanation:
To calculate the surface area of a 3D composite object, find the outside surface area of each object and then add the surface areas together. It could also be broken into one on top and one on the bottom. Determine the surface area of the outside faces of the right prism.
3.4x=8.5
on a text plz answer
Answer:
x=.4
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Roy collected 30 Avenger stickers. He gave 3/5 of them to her friends. How many stickers did he give to his friends
Answer:
29.4
Step-by-step explanation:
then convert to whole number
A) 113
B) 92
C) 133
D) 117
The Roger's applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history,
they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the
7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and
what do they save over the life of the loan?
9514 1404 393
Answer:
9% payments: $563.247% payments: $494.75monthly savings: $68.499% total repaid: $202,764.907% total repaid: $148,423.63savings: $54,341.27Step-by-step explanation:
It works nicely to let a calculator or spreadsheet figure the payment and loan values. The graphing calculator work is attached.
Answer:
9% payments: $563.24
7% payments: $494.75
monthly savings: $68.49
9% total repaid: $202,764.90
7% total repaid: $148,423.63
savings: $54,341.27
Step-by-step explanation:
The predicted population of Andover t years after 2010 can be modeled by the following equation.
g(t) = 900(1.02)
The predicted population of Hornell t years after 2010 can be modeled by the following table.
t 0 5 10 15 20
f(t) 1,000 1,762 3,105 5,473 9,646
Based on these predictions, which city will have a greater average rate of change in population between 2010 and 2020?
O Both cities will have the same average rate of change of population.
O This cannot be determined from the given information.
O Andover
O Hornell
Answer:
Step-by-step explanation:
Answer: Hornell
Step-by-step explanation:
what is 8x9-6+7(5-4x8)
Answer:
8 x 9 − 28 x 8 + 29
Step-by-step explanation:
can some help me plz I will give the brainlist
Answer:
A-0.125
B-15%
C- I think .15 would
Step-by-step explanation:
Sorry if i am incorrect
Answer:
A=.125
B=.14
Step-by-step explanation:
C=.15 would give him more candy.
Identify the most reasonable unit to measure the volume of a neighborhood
Answer:
I think you mean area, but acres
Find the missing side of a right triangle a b c
Answer:
Use Pythagorean Theorem.
Step-by-step explanation:
To find any side of a right angled triangle, we use Pythagorean Theorem. It states that the square of hypotenuse is equal to the sum of squares of it's sides.
Let hypotenuse is a
Perpendicular is b
and base is c
According to the theorem:
a²= b² + c²
Add values and solve for the unknown variable / side.
If you had added the problem, I would have elaborated more but still this will help you out.
Hey can someone please help me with this?
I can’t exactly figure it out.
Thank you in advance.
Answer:
three heads - 1/8
exactly two tails - 3/8
first two tosses are heads - 1/4
at least two tails - 1/2
Step-by-step explanation:
8 Possible outcomes
hhh, hht, hth, htt, ttt, tth, thh, tht,
three heads - 1/8
exactly two tails - 3/8
first two tosses are heads - 2/8=1/4
at least two tails - 4/8=1/2
Whats 10 Divided by 4 with a Remainder?
Answer:
Step-by-step explanation:
10/4= 2 r 2
Answer: it’s 2.5, with a remainder it’s 2 r2
Step-by-step explanation:
Rachel is treating her three friends to go see The Avengers: End Game. Each movie ticket costs x dollars. Rachel orders each of them (including herself) candy that cost $3.75 each and drinks that cost $4.25 each.
Answer:
4(x+8) OR 4x+32
Step-by-step explanation:
4x+(4*3.75)+(4*4.25)
There are four people, so there are four tickets, four drinks, and four pieces of candy, so everything must be multiplied by four. Next, you need to either factor or simplify the equation.
If you want to factor it, the answer would be 4(x+8)
If you want it simplified, it would be 4x+32
Find the volume of a cone that has a height of 15 centimeters and a radius of 6 centimeters.
WILL MARK BRAINLEST!!!
Answer:
565.2
Step-by-step explanation:
Cone=1/3bh
B is pir^2
so that means b=pi36 (6*6 =36)
36*15/3 is 565.2
investing $27,000 in an account paying 7.25% interest compounded quarterly.
What will Jamie's account balance be in 14 years?
investing $27,000 in an account paying 7.25% interest compounded quarterly.
What will Jamie's account balance be in 14 years?
Answer:
$74,495.30
Jamie's account balance will be $73,828.74 after 14 years.
What is Compound Interest?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Here, Principal = $27,000
Rate of interest = 7.25% compounded quarterly
= 0.0725/4 = 0.018125 per annum
Time = 14 years or 56 quarters
Now, A = P(1+i)ⁿ
A = 27000(1+0.018125)⁵⁶
A = 27000 X 2.7343
A = 73828.74
Thus, Jamie's account balance will be $73,828.74 after 14 years.
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