If h(x) = g[f(x)], use the table of values for f, g, f'and g' to find the value of h'(1).
x f(x) g(x) f'(x) g'(x)
1 3
2
2
6
2 1
00
5
7
3
7
2
7
9
your answer goes here
Answer:
Hey there :)
h ( x ) = f [ g ( x ) ]
To find h ' ( x )
We do → f ' [ g ( x ) ] × g ' ( x )
This is called the chain rule
Given;
g ( 1 ) = 2 → f ' ( 2 ) = 5
g ' ( 1 ) = 6
Apply the formula
h ' ( 1 ) = f ' [ g ( 1 ) ] × g ' ( 1 )
= f ' ( 2 ) × 6
= 5 × 6
h ' ( 1 ) = 30
If h(x) = g[f(x)], the value of h'(1) from the given table is calculated as 18.
To find the value of h'(1), we need to apply the chain rule. The chain rule states that if we have a composite function h(x) = g[f(x)], then its derivative h'(x) is given by [tex]\(h'(x) = g'(f(x)) \cdot f'(x)\)[/tex].
Let's use the table of values to find h'(1):
1. f(1) = 3
2. g(f(1)) = g(3) = 2
3. f'(1) = 2
4. g'(f(1)) = g'(3) = 9
Now, we can find h'(1) using the chain rule:
[tex]\[h'(1) = g'(f(1)) \cdot f'(1) = 9 \cdot 2 = 18.\][/tex]
Therefore, the value of h'(1) is 18.
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a pump moves 42 gallons in 7 minutes
Answer:
The correct answer is 6
Step-by-step explanation:
Divide 42 divided by 7 to get 6.
Answer:
What is the question?
Step-by-step explanation:
The pump moves 6 gallons in 1 minute
Divide 42 by 7 = 6
But I don't know the question so I can't tell you the best correct answer.
I just took a guess at what you wanted
Solve each equation,
1) –150 =-267p+5)
2) –8\m + 10)=-128
1
Find the average of
1/3
And
1/4
Answer:
7/6
Step-by-step explanation:
1/3+1/4
4/12+3/12=7/12
7/12 divided by 1/2
7/12 times 2 as when dividing fraction, multiply by reciprocal.
14/12
7/6
How many 1 6 cup servings are in 3 4 cups of popcorn? (in simplest fraction form)
Answer: 8/17
Step-by-step explanation: 16 ÷ 34 = 8/17
Hope this helps ^_^
What is the scale factor from the original triangle to its copy?
.
Original
Copy
Please help me please
Answer:
Step-by-step explanation:
110_5
Lou deposited $3,500 into a savings account. The simple interest rate is 4%. How much interest will the account earn in 10 years?
Answer:
2 years : $280
10 years: $1400
Step-by-step explanation:
The amount of interest earned in 10 years will be $1,400.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
$3,500 was put into a savings account Lou. 4% is the simple interest rate.
The amount of interest after 10 years is calculated as,
I = ($3,500 x 4 x 10) / 100
I = $1,400
The amount of interest earned in 10 years will be $1,400.
More about the simple interest link is given below.
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Help please! I’ll give brainliest if correct!
Can anyone answer and offer a simple step by step explanation for finding the volume for this?
Answer:
x^6
Step-by-step explanation:
Volume=w times height times length
Volume=x^2 times x^2 times x^2
x^2+2+2
x^6
Answer:
x^6 is volume
Step-by-step explanation:
So a volume of a cube is lenght times width times height.
Or the cube of a side(number to the power of 3)
Let's say one of the sides is 7. Then the volume would be 7 times 7 times 7 or 7 cubed which is equal to 729.
the pic the pic this is it
Answer:
yes I agree with you
Step-by-step explanation:
thanks for the free question
Answer: mmmmmm Otae?
Step-by-step explanation:
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. A. After 1 second B. After 5 seconds C. After 6 seconds
Answer:
(A) 30772cm^2/s
(B) 153860cm^2/s
(C) 184632 cm^2/s
Step-by-step explanation:
We are given
speed of the ripple = 70cm/s
this speed is increasing the radius which means speed = radius /time
radius = speed*time
r= 70t
Now we know the area of the circle
A = π[tex]r^2[/tex]
this area will be increasing as ripples in water will spread out
upon differentiating
dA/dt = 2πr * [tex]\frac{dr}{dt}[/tex]
dA/dt = 2π*70t*70 ( r= 70t , dr/dt = speed = 70)
dA/dt = 9800π*t
(A) after 1 second
dA/dt = 9800π*1=9800π = 30772cm^2/s
(B) after 5 seconds
dA/dt = 9800π*5 = 153860cm^2/s
(C) after 6 seconds
dA/dt = 9800π*6 = 184632 cm^2/s
1. According to a recipe for cooking roast beef, it takes 3/4 hour for each pound of beef in an oven heated
to 325 Fahrenheit. How long should it take to cook a roast that weighs 12 pounds?
回答: 正直わからない
説明: 私たちは愛する見知らぬ人ではありません
あなたはルールを知っています、そして私もそうです
完全なコミットメントは私が考えていることです
あなたは他の人からこれを取得しないでしょう
気分を伝えたいだけです
お奨めはあなたに理解させる
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
私たちは長い間お互いを知っていました
あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です
内部では、私たち二人は何が起こっているのかを知っています
私たちはゲームを知っていて、それをプレイするつもりです
そして、あなたが私にどのように感じているか尋ねれば
あなたが盲目すぎて見ることができないと私に言わないでください
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
（ああ、あきらめて）
（ああ、あきらめて）
（ああ）決して与えるつもりはない、決して与えるつもりはない（あなたをあきらめる）
（ああ）決して与えるつもりはない、決して与えるつもりはない（あなたをあきらめる）
私たちは長い間お互いを知っていました
あなたの心は痛んでいますが、あなたはそれを言うには恥ずかしがり屋です
内部では、私たち二人は何が起こっているのかを知っています
私たちはゲームを知っていて、それをプレイするつもりです
気分を伝えたいだけです
お奨めはあなたに理解させる
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない
決してあなたをあきらめるつもりはない、決してあなたを失望させるつもりはない
走り回ってあなたを捨てるつもりはない
泣かせたり、さよならを言ったりしないでください
嘘をついてあなたを傷つけることは決してない™
Keith wants to plot -8 and -9 and on a number line. Which statement is true? *
What type of number is 739?.
A. Neither
B. Prime
C. Composite
ANSWER
For 739, the answer is: prime anslo written as B
Step-by-step explanation:
739 is a prime number because it has only two distinct divisors: 1 and itself (739).
HAVE A GOOD DAY!
Answer:
its neither
Step-by-step explanation:
Solve four and three fourths minus one and one third.
(GIVING EXTRA POINTS ON THIS ONE AND A BREAINLIEST!!)
A) Two and two sevenths
B) two and two twelfths
C) three and five twelfths
D) three and five sevenths
(Here is an image if needed) :
Answer:
c
Step-by-step explanation:
2(x+7)=-4x+14
Solve this for 15 points.
You wish to have $500 in a year. If you have a savings account that pays 6% simple interest, how much do you need to put into the account?
Answer:
$8333.3
Step-by-step explanation:
The problem here is to find the principal that will yield an interest of $500 in a year at a rate of 6%.
Interest = [tex]\frac{PRT}{100}[/tex]
P is the principal
R is the rate
T is the time
The time is 1 year;
500 = [tex]\frac{P x 6 x 1}{100}[/tex]
6P = 50000
P = [tex]\frac{50000}{6}[/tex] = $8333.3
Simplify each term. please help!! 30 points + brainliest :)
1. -(-3y)³
2. (2c)⁵
3. (-2m)⁴
4. (4g)³
5. (7j)²
6. (-5z)⁵
Answer:
1. 27y^3
2. 32c^5
3. 16m^4
4. 64g^3
5. 49j^2
6. -3125z^5
Step-by-step explanation:
Can you help answer my question too, please?
What 2 ratio is equivalent to 4/14 HELPPPP ILL GIVE U 15 AND MARK BRAINLIST
Answer:
4:14 2:7 8:28
Step-by-step explanation:
HELP ME PLEASE Find the slope of the line and write it as a rate of change.
A slope is also known as the gradient of a line. The rate of change is $0.13/ mile.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
Given two of the points on the line of the function (7000, 900) and (20000, 2600). Now, The rate of change for the given function is the slope of the line as shown in the graph. Therefore, the rate of change will be,
Rate of change = ($2600 - $900)/(20,000 miles - 7,000 miles)
= 1700 / 13000
= $0.13/ mile
Hence, the rate of change is $0.13/ mile.
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If I had 4 eggs
Leslie gives me 3 eggs
My farm rooster lays 5 eggs
How many eggs do I have?
Answer:3 eggs
Step-by-step explanation:
You HAD 4 eggs
Leslie gives you 3 eggs
Roosters don’t lay eggs,
Therefore, you have 3 eggs.
I have 12 eggs
Addition is the the process of determining the total sum of two or more numbers. Addition is a basic mathematical operation. The other basic operations are subtraction, multiplication and division.
The number of eggs I have would increase with the number of eggs I am given and the number of eggs the farm rooster lays. This means I would have to add these numbers together.
The number of eggs I have = number of eggs I has initially + number of eggs Leslie gives me + number of eggs the farm rooster lays
4 + 3 + 5 = 12 eggs
A similar question was solved here: https://brainly.com/question/17472003?referrer=searchResults
If the cube shown is 6 inches on all sides, what is the length of the diagonal, X, of the cube?
A)
V6 inches
B)
3 V6 inches
Eliminate
)
6V3 inches
D)
6 V6 inches
Answer:
C
Step-by-step explanation:
I did it on USA test prep
2. Multiply the following:
a. 3.5(x)
Answer:
3.5x
Step-by-step explanation:
3.5(x)=3.5x
Which of the following rates are proportional to $3.85 per 1 pound? Select all that apply.
HELP STAT
A) 5 pounds for $19.25
B) $7.70 for 2 pounds
C) 4 pounds for $15.10
D) $10.00 for 3 pounds
E) 10 pounds for $38.50
F) $28.75 for 9 pounds
Complete the steps to solve 4.5 ÷ 0.5
Answer:
9
Step-by-step explanation:
4.5/0.5=9
9*0.5=4.5
hope this helps :3
if it did pls mark brainliest
Answer:
4.5 ÷ 0.5
45/10 ÷ 5/10
45/10 × 10/5
450/50
45/5
= 9
Step-by-step explanation:
Help guyssssssssssssss
Answer:
1
Step-by-step explanation:
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y=3/5x The constant of proportionality is______
Answer:inversely proportional
Step-by-step explanation:
As the value of x increase the value of y decrease
What is 3/5 plus 4/8
Answer: 11/10 is your answer
Step-by-step explanation: Hoped this helped
Answer:
1.1
Step-by-step explanation:
3/5 + 4/8 = 1.1
To demonstrate probabilities, a mathematics teacher had students draw cards from a bag which contained 26 red cards and
26 black cards. During class, the bag was dropped, and 5 red cards and 1 black card were lost.
Tell whether the loss of cards changes the probability of drawing a black card from the bag.
If so, was the probability increased or decreased? Support your answer by calculating the probability for each situation.
Answer:
decreased
Step-by-step explanation: