The final answer is 9 percent
Let f be a differentiable function. If h (x) = (2+ f (sin x))", which of the following gives a correct process for finding h' (x) ?
Answer:
[tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Derivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle h(x) = [2 + f(\sin x)]''[/tex]
Step 2: Differentiate
Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [2 + f(\sin x)]'[/tex]Rewrite [Derivative Property - Addition/Subtraction]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' \bigg[(2)' + [f(\sin x)]' \bigg][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' [f(\sin x)]'[/tex]Derivative Rule [Chain Rule]: [tex]\displaystyle h'(x) = [2 + f(\sin x)]''' f'(\sin x)(\sin x)'[/tex]Trigonometric Differentiation: [tex]\displaystyle h'(x) = \cos (x) f'(\sin x)[2 + f(\sin x)]'''[/tex]From here, if you would like, you can take the 3rd derivative of the last piece.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Simplify the variable expression below as much as possible.
X + 8 .z
Answer here
Answer:
It will stay at x + 8
Step-by-step explanation:
1. The teacher assigns homework after 7/10
of the lessons
A) unlikely
B) likely
C) certain
D) equally likely
Answer:
B) Likely
Step-by-step explanation:
Unlikely = < 50%
Likely = > 50%
Certain = 100%
Equally likely = 50%
Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 68 km/h faster than the other. If the two planes are 5052 kilometers apart after 3 hours, what is the rate of each plane?
Step-by-step explanation:
the slower plane travels x km in 3 hours.
the faster plane travels x + 3×68 = x + 204 km in 3 hours.
x + x + 204 = 5052 km
2x = 4848 km
x = 2424 km (in 3 hours).
so, the slower plane's speed is 808 km/h.
the faster plane's speed is 808 + 68 = 876 km/h.
Simplify this question
[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]
[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]
[tex]\\ \sf\longmapsto 8+9i+1[/tex]
[tex]\\ \sf\longmapsto 9i+9[/tex]
Please help, I dont know how to get the other angle measurement.
Answer:
Angle E is 88º
Step-by-step explanation:
If angle A is 46, then angle B is 46. Angle C in triangle ABC then has to be 88. Because of this, angle C in triangle CDE has to be 88 as well. Hence, E is 88.
Simplify using combining like terms: 3a + 6 + 2a - 8
Answer:
a = 2
Step-by-step explanation:
Simplifying
3a + 6 = 2a + 8
Reorder the terms:
6 + 3a = 2a + 8
Reorder the terms:
6 + 3a = 8 + 2a
Solving
6 + 3a = 8 + 2a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2a' to each side of the equation.
6 + 3a + -2a = 8 + 2a + -2a
Combine like terms: 3a + -2a = 1a
6 + 1a = 8 + 2a + -2a
Combine like terms: 2a + -2a = 0
6 + 1a = 8 + 0
6 + 1a = 8
Add '-6' to each side of the equation.
6 + -6 + 1a = 8 + -6
Combine like terms: 6 + -6 = 0
0 + 1a = 8 + -6
1a = 8 + -6
Combine like terms: 8 + -6 = 2
1a = 2
Divide each side by '1'.
a = 2
answer this pleaseeeee
Answer:
Each goat gets 3 carrots and there are 4 extra carrots left
Step-by-step explanation:
5*3=15
OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.
5*3.8=19
Answer:
the answer is simple 3 remainder of 4
Step-by-step explanation:
so he had 5 goats and 19 carrots
19/5=3.8 which mean 3 and 4 left
Can someone plz help me? :(
the answer to your question is B.) 12x
Determine if 0.929229222922229222229... is rational or irrational and give a
reason for your answer.
Answer:
It is irrational.
Hope you could get an idea from here.
Doubt clarification - use comment section.
can someone help me for this?
Answer:
500000N=2m
x. =6m
cross multiply, it'll be
6×50000÷2
=150,000N
PLEASE PLEASE HELP IM TIMED!! Just look at the picture
find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)
Can you help this is a lot. I don't really get it
Answer:
country is 15 30 45 60 75 90 105 120 135 150 pop is 5.75 11.5 17.25 23 28.75 34.5 40.25 46 51.75 57.5
why you take my profile picture hello.....
PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls
Answer:
See belowStep-by-step explanation:
1)
x + 5 = 12, subtract 5 from both sides
x = 7
Subtraction property of equality
a = ba - c = b - c2)
x + y = 20 and y = 5, substitute 5 into first equation
x + 5 = 20
Substitution property of equality
a + b = c and b = da + d = c3)
2x - 3 = 11, interchange the sides of equality
11 = 2x - 3
Symmetric property of equality
a = bb = aAnswer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
what is the probability
Answer:
1/4
Step-by-step explanation:
the probability on getting blue on spinner is 1/2
1/2 x 1/2 =1/4
DONT ASNWER IF YOU DON"T KNOW THE ANSWER
Are the two triangles similar? Why or why not?
The area of a rhombus is 40 sq cm and one of its diagonals is 8 cm long. Find the length of the other diagonal.
Answer: The length of the other diagonal is 10 cm...
So the diagonal formula is - 1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.
So,
1/2 * (8*d2) = 40
8d2= 40*2
d2= 80/8
d2= 10
To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?
1 liters = 33.81 ounces
Answer:
71.62
Step-by-step explanation:
2 liters = 2(33.81) ounces or 67.62 oz
4 more ounces were added
new total is 71.62 oz
Find the value of x
3x = 9²
[tex]\huge\boxed{Hi\:there!}[/tex]
[tex]\huge\sf{3x=9^2}[/tex]
[tex]\huge\sf{3x=81}[/tex]
[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]
[tex]\huge\sf{x=27}[/tex]
[tex]\huge\boxed{Hence,\:x=27.}[/tex]
[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]
[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]
Find the value of x
3x = 9²
Answer:-x = 27
Explanation:-=> 3x = 9²
=> 3x = 81 [9² = 9×9 = 81]
=> x = 81/3
=> x = 27
Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail
Answer:
45 is 150% of 30.
Step-by-step explanation:
To find what percent of 30 is 45 first we must turn it into a fraction and simplify.
fraction form: 45/30
simplified fraction form: 3/2
now to find percent you have to put a number over one hundred.
3/2 = ?/100
Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.
Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150
so now we put the new numerator and denominator together and get 150/100
The answer is 150%
24 feet/second to inches/minute
Answer:
4.8 inches a minute is probably the answer
Answer:
4.8 inches a minute
Step-by-step explanation:
Each time Bobby rides the JUTC bus, money will be deducted from the value of his card. He rode the bus 5 times and his card was charged $100. What integer best represents the the amount by which the balance of the card changed each time it was used?
Possible Answers
A. -$500
B. $20
C. -$20
D. $500
Answer:
b
Step-by-step explanation:
100/5= 20
he was charhed 20
What is the simplified form of the following expression? 5 StartRoot 8 EndRoot minus StartRoot 18 EndRoot minus 2 StartRoot 2 EndRoot 2 StartRoot 2 EndRoot 5 StartRoot 2 EndRoot 9 StartRoot 2 EndRoot 15 StartRoot 2 EndRoot.
The simplified form of the given expression is [tex]5\sqrt{2}[/tex].
Given expression,
[tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex].
We have to simplify the above expression.
So, [tex]5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\\[/tex]
First solve for the square root,
[tex]5\sqrt{2\times2\times2} -\sqrt{3\times3\times2} -2\sqrt{2} \\\\10\sqrt{2} -3\sqrt{2}-2\sqrt{2} \\[/tex]
[tex]7\sqrt{2} -2\sqrt{2}[/tex]
[tex]5\sqrt{2}[/tex]
Hence the simplified form of the given expression is [tex]5\sqrt{2}[/tex].
For more details follow the link:
https://brainly.com/question/2719671
I have no idea how to do this. Please help.
Answer:
Area is 5 cm and perimeter is 12 cm
Step-by-step explanation:
Area: top left sqare:
1cm * 1cm = 1 cm
bottom rectangle:
1cm * 3 cm = 3 cm
top right square:
1cm * 1cm = 1 cm
Perimeter:
1 cm + 2 cm+ 3 cm+ 2 cm+ 1 cm + 1 cm + 1cm + 1cm = 12 cm
does 12 11 and 7 make a right triangle
Answer: no
Step-by-step explanation: hope it helps
write the equation of a line that passes through the points (-7,-4) and (-5,-6)
Answer:
y=-x-11
Step-by-step explanation:
This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V
Answer:
x = 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14
Using Pythagoras' identity in the right triangle
x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )
x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]
if a customer spent $60, how many people did they buy food and beverages for?
а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?