Mathematics College

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

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)

Answers

Answer 1

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

Answer 2

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.

To know more about value, refer here:

https://brainly.com/question/33648788

#SPJ2

Related Questions

Francesca obtains a loan of $18.965.00. The loan has a simple interest rate of 3%. How much interest will Francesca owe at the end of the first year?

Answers

Answer:

$568.95

Step-by-step explanation:

Given parameters:

Value of loan  = $18965

Interest rate  = 3%

Time  = 1year

Unknown:

Interest = ?

Solution:

The interest on a particular amount is given as:

        I  = [tex]\frac{PRT}{100}[/tex]  

I is the interest

P is the principal

R is the rate

T is the time

       I  = [tex]\frac{18965 x 3 x 1}{100}[/tex]   = $568.95

What's the range of this function graph?
Question 3 options:

A)

(–∞,2)

B)

[2,∞)

C)

(–2,∞)

D)

[–2,∞]

Answers

Answer:

B [2,∞)

Step-by-step explanation:

pattern 60 52 44 36​

Answers

Decreasing by 8 each time

Set up a proportion for the problem.

11 is what percent of 33 ?

Answers

Answer:

its 3 percent

Step-by-step explanation:

help me asap please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. should be the answer

Ha, Asa and Aas are correct because there is only one known side, and two known angles, making these postulates correct.

Isidro wants to purchase a used scooter that costs $89.75. The sales tax is found by multiplying the price of the scooter by 0.08. Find the ​total amount​ of money Isidro will pay. Round to the nearest cent.

Answers

Answer:

96.93

Step-by-step explanation:

89,75+

A rectangular pool has a length of 200 ft. You're building a model. Using a scale
factor of 1725, what is the scale length of your model? *

Answers

Answer:

1.4 inches.

Step-by-step explanation:

Given that the length of the pool = 200 ft.

Scale factor = 1725.

As,

[tex]\text{Scale factor }=\frac{\text{Original length}}{\text{Scaled length}}[/tex]

So,

[tex]\text{Scaled length} = \frac{\text{Original length}}{\text{Scale factor}}[/tex]

By using the given values, we have

{Scaled length} [tex]= \frac{200}{1725} ft.=0.116 ft.[/tex]

As 1 foot = 12 inch,

So, scaled length = 0.116 x 12 = 1.4 inches.

Hence, the scale length of the model = 1.4 inches.

The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).

Answers

Answer:

125, 105, 120

Step-by-step explanation:

You would first make an equation with what you know:

x + 45 + x + 25 + x + 40 = 350.

Now, you would simplify and add like terms.

3x + 110 = 350

Now, you would subtract 110 from both sides.

3x = 240

Now, you would divide both sides by 3.

x = 80

Now that you know what x is, simply plug it in to the respective equations for all three sides.

x + 45 would become 80 + 45, and add up to 125.

x + 25 would become 80 + 25, and add up to 105.

x + 40 would become 80 + 40, and add up to 120.

To check your work, you would now add the three totals.

125 + 105 + 120 = 350.

Choose True or False for each statement.


Column A

1.

If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.:

If the distance from 0 to x on a number line is equal to 2, then -2 + X = 0.

2.

If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.:

If the distance from 0 to x on a number line is less than 2, then -2 + X = is negative.

3.

If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.:

If the distance from 0 to x on a number line is greater than 2, the -2 + X is positive.

4.

If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.:

If the distance from 0 to x on a number line is greater than 0, then -2 + X is positive.

Answers

17372!82!. 9hhhhhh nooo

Suppose that 2 were subtracted from each of the values in a data set that
originally had a standard deviation of 7.5. What would be the standard
deviation of the resulting data?
A. 2
B. 7.5
C. 9.5
O D. 5.5

Answers

Answer:

Option B. 7.5 is the correct answer

Step-by-step explanation:

Let us define standard deviation first.

Standard deviation is the square root of variance. Standard Deviation tells us that how far are the values in a data set from the mean.

Now, if a constant is subtracted from all values of a dataset, the standard deviation remains the same. Only the origin or mean of the data changes by subtracting a constant from whole data set.

Given that the standard deviation of dataset is 7.5

Subtracting 2 from each value of dataset will not change the standard deviation as 2 is a constant.

Hence,

Option B. 7.5 is the correct answer

Answer:

7.5 it stays the same

Step-by-step explanation:

why did my dog eat my cat???​

Answers

Answer:

'Cause he was yummy and cats are ugly.

Answer- I think so, but you should cut it open and find out, it could be brutal

if the slope is -3/5 and the y intercept is 1 what is the slope intercept form of the equation of each line given the slope and y intercept

Answers

Answer:

y = -3/5x + 1

Step-by-step explanation:

Choose a system of equations with the same solution as the following system:

6x + 2y = −6
3x − 4y = −18

a) 8x + 4y = −4
17x + 2y = −28

b)12x + 4y = 12
21x + 2y = −36

c) 6x + 8y = −36
15x + 6y = −60

d)6x + y = 15
15x − y = −9

Answers

Answer: A. 8x + 4y = -4

                    17x + 2y = -28

Step-by-step explanation:

Help anyone 5th grade math

Answers

Answer:

Equal???

Step-by-step explanation:

what is.
m + 0.6 = 2.6

Answers

Answer:

m is 2 because 2.6 - 0.6 = 2 . so 2 is the answer

is 16-7=4+5 true, false, or open?

Answers

Answer:

open

Step-by-step explanation:

Answer:

This is True.

Step-by-step explanation:

16-7=9

5+4=9

same ting

The number of miles driven by a truck driver falls between 300 and 700, and follows a uniform distribution.
a. Find the probability that the truck driver goes more than 650 miles in a day.
b. Find the probability that the truck drivers goes between 400 and 650 miles in a day.
c. At least how many miles does the truck driver travel on the furthest 10% of days?

Answers

Answer:

(A) 0.125 probability

(B) 0.625 probability

(C) 660 miles

Step-by-step explanation:

The distance driven by a truck driver daily, falls between 300miles and 700miles and follows a uniform distribution.

(A) The probability that the truck driver goes more than 650 miles a day is:

[700 - 650] / [700 - 300]  = 50/400  = 0.125

(B) The probability that the truck driver goes between 400 and 650 miles a day is:

[650 - 400] / [700 - 300]  = 250/400  = 0.625

(C) The minimum number of miles the truck driver travels on the furthest 10% of days is given thus:

10% of 400  = 40

Subtract this from the farthest distance;

700miles - 40miles  = 660miles

Please answer the 2 questions if you can? (This is my math from 8th grade)

Answers

Answer:

8.no answer A. x=8

Step-by-step explanation:

10.no answer B. x= -3

Answer:

8. (A) x = 8 , 10. (C.) x = 3

Step-by-step explanation:

Number 8 you could do 75 - 35 = 40

so what can you multiply 5 by (x) to get 40? you would multiply 5 by 8 or (x) and get 40

then add 35 + 40 to get 75 degrees which is the parallel angle to the other 75 degrees.

Number 10 you just want to get them to the same number.

so you would do ( 97 - 3 ) to get the ANSWER 87.

so x = 3

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

113

Step-by-step explanation:

Answer:

diameter =6 cm

radius =3cm

shaded area =area of square- area of circle

= a^2 - πr^2

=(6)^2-3.142(3)^2

=36-3.142×9

=36-28.278

=7.622

-1,000 -999 < > or = and why​

Answers

Answer:

-1,000

Step-by-step explanation:

Answer:

The answer is -1,000 > -999

Step-by-step explanation:

That is because the more further you go away from the zero into the negatives on a number line graph, the bigger the number with a negative sign is, that considered smaller

Find the circumference of a circle with a radius of 19 inches. Give an exact answer.
Provide your answer below:

Answers

Answer:

119.38

Step-by-step explanation:

Answer:119.3805208 inches

Step-by-step explanation:

3x + 6y = 42 and -7x + 8y = -109 solve by elimination

Answers

Answer:

Point Form

(15,-1/2

Equation Form

x=15 and y= -1/2

Step-by-step explanation:

If x = 4, what is the value of 4/5 (2 + 7) − 2/3 (2 + 7)?
A 2
B 5
C 15
D 22

Answers

Answer:

d=56

Step-by-step explanation:

Which equation represents a line which is parallel to the line 2y-5x=-162y−5x=−16?

Answers

Answer:

Step-by-step explanation:

For two lines to be parallel to each other, they must have the same slope.

The standard form of expressing equation of a line is y = mx+c

m is the slope.

First let us get the slope of the given line

Given the line 2y-5x = -16

Rerwrite in standard form;

2y-5x = -16

2y = 5x-16

Divide through by 2;

2y/2 = 5x/2 -16/2

y = 5x/2 - 8

The slope of the line is 5/2

Since we are not given options, we can as well say that the equation of the line parallel to this line must have a slope of 5/2 no matter the intercept. Example of such line are;

y = 5/2 x + 2

mrs Moore worked 42 hours and 35 minutes last week. How many hours and minutes did she average in each of the five days?

Answers

Answer:

6.08333333 hours

Step-by-step explanation:

((42 hours) + (35 minutes)) / 7 = 6.08333333 hours

hope this helps LOL :)

Answer:

511 min or 8 hrs and 52 min

Step-by-step explanation:

first you need a common subject so convert 42 hours into min, which is 2,520 then add the 35 which gives you 2,555 total.

then divide by 5 which gives you the adverage of 511 min

convert answer into hours which is about 8 hours and 52 min rounding up

8. A substance has a half life of 2.347 minutes.
a. If the initial amount of the substance was 110.4 grams, how many half-lives will have passed
before the substance decays to 6.9 grams.
b. What is the total time of the decay?

Answers

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

[tex]A=A_0b^{\frac{t}{c}}[/tex]

Where [tex]A[/tex] is the final population

[tex]A_0[/tex] is the initial population

[tex]b[/tex] is the growth factor

[tex]c[/tex] is the time taken for the growth 'b'

[tex]t[/tex] is the amount of time

Here, we are given that:

[tex]A[/tex] = 6. 9 grams

[tex]A_0[/tex] = 110.4 grams

[tex]b = \dfrac{1}{2}[/tex]

[tex]c = 2.347[/tex] min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to [tex]\frac{t}{c}[/tex].

Putting the values in the formula, we get:

[tex]6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4[/tex]

Therefore, the answer is:

4 half lives have passed.

b.) Total time of decay. We have to find the value of [tex]t[/tex] here.

From answer of part a.):

[tex]\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}[/tex]

12.009 write in word form

Answers

twelve and nine thousandths

I’m timed please help

The David family traveled to silver lake in five hours. Their return trip took 7/8 of the time it took to travel to the lake. How long did the return trip take

O 4 1/8

O 4 3/8

O 5 5/7

O 5 7/8

Answers

Its either 5 7/8 if your adding but if your multiplying it’s 4 3/8, I personally think that’s it’s multiplying.

Which is the net force acting on a 1.7-kg object that is accelerating at 5.0 m/s??

A. 8.5 N

B. 2.9 N

C. 0.34 N

D. 3.3 N

Answers

Answer:

A. 8.5 N

Step-by-step explanation: F = 8.5 N

help big points, need quickly pls pls pls

Answers

Answer:

use photomath and if that dont work use m a t h w a y

Step-by-step explanation:

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