Answer:
4500*1.05^(365*6) = 1.1422929e+50
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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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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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
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
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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Examine the equation. 4(x – 3) = 4x – 12 Which of the following is true? (Check all that apply.) It is a true statement. Any input will result in an equivalent equation. It is equivalent to an equation of the form a = a. It has no solution. Only one input will result in a true statement.
Answer:
A, B, and C.
Step-by-step explanation:
We have the equation:
[tex]4(x-3)=4x-12[/tex]
Let’s distribute the left. This yields:
[tex]4x-12=4x-12[/tex]
Let’s add 12 to both sides:
[tex]4x=4x[/tex]
And subtract 4x from both sides:
[tex]0=0[/tex]
We get the true statement 0=0.
Hence, A is correct.
Because it is a true statement, any input will yield an equivalent output.
Hence, B is also correct.
We also have the form a=a, where a is 0.
Hence, C is also correct.
Therefore, our correct answers are A, B, and C.
Answer:
It is a true statement.
Any input will result in an equivalent equation.
It is equivalent to an equation of the form a = a.
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:
Please help me please
Answer:
Step-by-step explanation:
110_5
2(x+7)=-4x+14
Solve this for 15 points.
The cost of medical care abroad is often significantly less than in the United States. In 2014, the cost of knee replacement surgery in the United states was $34,000. This cost was $4000 more than four times the cost of knee replacement surgery in India. Find the cost of Knee replacement surgery in India.
Answer:
Cost in India: $7500
Step-by-step explanation:
Represent cost in India with I and cost in United States as U.
Given
[tex]U = 3400[/tex]
[tex]U = 4000 + 4 * I[/tex]
Required
Find I
Simply substitute 34000 for U in the second equation
[tex]34000 = 4000 + 4 * I[/tex]
[tex]34000 = 4000 + 4I[/tex]
Solve for 4I
[tex]4I = 34000 - 4000[/tex]
[tex]4I = 30000[/tex]
Solve for I
[tex]I = 30000/4[/tex]
[tex]I = 7500[/tex]
Hence, the cost in India is $7500
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
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?
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
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:
What is the scale factor from the original triangle to its copy?
.
Original
Copy
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
Solve the equations:
2^(3x−4) = −2
Answer:
x=NaN your welcome hehe
Sarah is training for a bike race. She rides her bike 5 3/4 miles in 1/3 hour. What is Sarah’s rate in miles per hour. Express your answer as a mixed number
Answer:no
Step-by-step explanation:
Answer:
17 [tex]\frac{1}{4}[/tex]
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:
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 ^_^
Answer correctly and I will mark you brainless ❤️
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:
A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.
Rachel needs two tables for her birthday party. How many chairs will she need?
i think the answer is The 1st table represents a function
Lets explain how to solve the problem
- Function is a relation where each input has a single output
- The notation of the function is f(x) = y , where x is the input of the
function and y is the out put of the function
- The domain of the function is x and the range of the function is y
* Lets find which table represent a function
# First table:
x y
-3 -1
0 0
-2 -1
- In the first table
∵ -3 has only -1
∵ 0 has only 0
∵ -2 has only -1
∵ 8 has only 1
∵ Every x has a single y
∴ The table represents a function
∴ The 1st table represents a function
- In the second table
x y
-5 -5
0 0
-5 5
6 -6
∵ x = -5 has y = -5 and y = 5
∴ One x has two values of y
∴ The table doesn't represent a function
- In the third table
x y
-4 8
-2 2
-2 4
0 2
∵ x = -2 has y = 2 and y = 4
∴ One x has two values of y
∴ The table doesn't represent a function
- In the fourth table
x y
-4 2
3 5
-4 0
∵ x = -4 has y = 2 and y = 0
∴ One x has two values of y
∴ The table doesn't represent a function
Answer:
It is 12
Step-by-step explanation:
What is the constant of proportionality in the equation y = 5/9x
Answer: 5/9
This is assuming the equation is y = (5/9)x
Note it is in the form y = kx with k = 5/9 as the constant of proportionality.
2. Multiply the following:
a. 3.5(x)
Answer:
3.5x
Step-by-step explanation:
3.5(x)=3.5x
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
The mean lifetime of a tire is 48 months with a standard deviation of 77 months. If 147 tires are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 0.83 months?
Answer:
0.55199
Step-by-step explanation:
When we have a random number of samples, We solve using z score formula
z = (x-μ)/σ/√n where
x is the raw score
μ is the population mean
σ is the population standard deviation
n is random number of samples
z = 0.83/77/√147
z = 0.13069
Probabilty value from Z-Table:
P(x<48.83) = 0.55199
The probability that the mean of the sample would differ from the population mean by less than 0.83 months is 0.55199
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:
Keith wants to plot -8 and -9 and on a number line. Which statement is true? *
Maggie has a 2-gallon pitcher of lemonade. How many liters of lemonade did she make?
I'LL GIVE BRAINLIEST!
Answer:
2 gallons converted to liters is 7.57 or 8 liters rounded