Answer:
[tex]\displaystyle J'(3) = -1[/tex]
General Formulas and Concepts:
Algebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Derivative: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle J(x) = e^{f(x)}[/tex]
Step 2: Differentiate
eˣ Derivative [Derivative Rule - Chain Rule]: [tex]\displaystyle J'(x) = \frac{d}{dx}[e^{f(x)}] \cdot \frac{d}{dx}[f(x)][/tex]Simplify: [tex]\displaystyle J'(x) = f'(x)e^{f(x)}[/tex]Step 3: Evaluate
Substitute in x [Derivative]: [tex]\displaystyle J'(3) = f'(3)e^{f(3)}[/tex]Substitute in function values: [tex]\displaystyle J'(3) = -e^{0}[/tex]Simplify: [tex]\displaystyle J'(3) = -1[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
help me pls asap its to hard my brains about to explode
Answer:
1. c = 5.75b + 25
2. y = -1/3 + 5
3. y = -1/2 + 5
4. y = I can't tell what the numbers are from the photo, but (B) will be where the line is on the y axis of the graph.
Y = MX + (B)
Edit: Okay assuming the graph is going in the directions by one, meaning 1, 2, 3, or -1, -2, -3, and not any other sequence.
The answer for question will be y = 1/2x -1
HELPPP ASAP!!!
How many cubes are in this set?
Answer:
7
Step-by-step explanation:
7 because it's not asking for squares it asking for cubes
Help please! Thank you will make brainly
Answer:
he can buy 7 video games
Step-by-step explanation:
Answer: He can buy up to 7 video games
Step-by-step explanation:
You can't buy .8 of a video game so you have to round down to the nearedt whole number which is 7
What does reduce mean and which scale factor could be an example of a reduction?
Answer:
The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. Reduce means to make smaller, to lessen a amount.
Step-by-step explanation:
An example of a scale factor of reduction is 1:25
Enlarging scale means that the drawing is larger than the actual object. Hence the representative fraction will be greater than unity. For reducing scale the representative fraction is less than unity.
So now looking at 1:25, we see it's a reduction scaling because it's fraction is less than unity.
And what 1:25 means is that 1 on paper while the actual size of the object is 25
I will give BRAINLIEST to WHOEVER GETS IT RIGHT and can you please tell me how you solve your answer!!!!!!!!!!!!!!
Find the output, k, when the input, x, is -5. k = 6x + 100
y=?
I need help it's easy but not for me
Answer:
1. C. h = 2s + 75
2. J. c = 65m + 25
3. C. y = -3/5x + 3
4. F. T = 129c - 75
5. A. y = -0.5x -1
Drag each sequence to show whether it is a linear function, an exponential function, or
not a function.
I will give you 20 brainiest points!! Please help.
Answer:
Step-by-step explanation:
From the picture attached,
Option A
From the given table,
Ratio of the 2nd value and 1st value = [tex]\frac{8}{4}=2[/tex]
Ratio of 3rd value and 2nd value = [tex]\frac{16}{8}=2[/tex]
There is a common ratio of 2.
Therefore, the given table will represent an exponential function.
Option B
Given recursive formula of the sequence is,
[tex]A_1=3[/tex]
[tex]A_n=5.A_{n-1}[/tex]
From this recursive formula sequence will be,
3, 15, 75, 375,.......
Therefore, it's an exponential function.
Option C
[tex]F_n=3n+17[/tex]
Given function is in the form of a linear function (y = mx + b),
Therefore, it's a linear function.
Option D
From the given table,
Difference between 2nd value to the 1st value = 8 - 4 = 4
Difference between 3rd value to the 2nd value = 12 - 8 = 4
Therefore, there is a common difference of 4 in each successive term to the previous term.
Hence, the given table represents a linear function.
Answer:
above me will also work for problems in the photo below
Step-by-step explanation:
I did the problem
Which expression is equivalent to:1/2(x-8)+3x
Answer:
Step-by-step explanation:
1/2*(x-8)+3x=x/2-4+3x=3.5x-4
Hope this helps!
Please help
I need the answer
Answer:
D. 14448
Step-by-step explanation:
S = Base area + lateral surface area
=2*(1/2*(56*42)) + (56+42+70)*72
= 2352 + 12096
= 14448
Plzzz help me, like plzzz
Answer:
y = 28
Step-by-step explanation:
28 = y
28 = 28
the angles are equal to each other because they are vertical angles
explain the steps needed to determine the value of the expression below. 3(y-4)-7y+3/4
Answer:
3(y-4)-7y+3/4=3y-(3)(4)-7y+3/4=-4y-12/1+3/4=-4y+(-12×4+3)/4=-4y-45/3
how many are right handed??
Answer:
40
Step-by-step explanation:
if a bakery offers, tuna, and vegetable sandwiches on a plain or onion bagel how many possible sandwiches are there?
Answer:6
6
66
66
6
6
66
6
6
6
6
6
Step-by-step explanation:
6 sandies sir/ma'am have fun
Write an expression for “seven less than three halves of z”
Answer:
7- 3/2Z
thank for points and pick me brainliest pls!
an oak leaf is 79 mm long, and a maple leaf is 6 cm long. what is the difference in their lengths in cm?
Answer:
1.9cm
Step-by-step explanation:
79mm into cm is 7.9cm
As 10mm is 1 cm
Then you do 7.9 - 6 = 1.9cm
solve for x.
x²= 16
a-8
b-4
c-32
d-64
Answer:
a
Step-by-step explanation:
you can do 16 divided by 2 to get the answer
Evaluate (8 x 10-3) +0.45 – (7 X 10-2). Write your answer in
scientific notation.
Answer: 80 x − 60.55
what is algbra
plz help me
Answer:
Algebra is math, like X, Y and all that.
Step-by-step explanation:
Answer:
algebra basically study of mathematical symbols and the rules governing the manipulation of these symbols as well.
The perimeter of a rectangle is 76cm.
Its longest side has a length of 29cm.
State the length of the shortest side.
Answer:
The length would be 9cm
Step-by-step explanation:
Because the perimeter is 76, you have to add 29 to 29 which equals 58, then you have to subtract 58 from 76, which is 18. The last episode is divide 18 by 2 because re are two sides remaining. So answer would be 9. To check the answer you can add 29+29+9+9
I need help ASAP plzzzz help
Answer:
D. X = 130 in.
Step-by-step explanation:
a² +b² =c² (Pythagorean theorem)
50² + 120²=c²
2,500 + 14,400 =c²
16,900 = c²
√16900 = √c²
130 = c
X = 130 in.
Please help asapppppp
what is the midpoint of the line segment with endpoints (-5.5, -6.1) and (-0.5, 9.1)?
Answer:
(-5/2, 3/2)
Step-by-step explanation:
[(-5.5+.5)/2, (9.1-6.1)/2)} = (-5/2, 3/2)
What is the area of this triangle m2
19 m
22m
What type of triangle can an equilateral be?
Answer:
An acute triangle.
Step-by-step explanation:
There is a rule that if a triangle is equilateral, then it also must be acute. A right and obtuse triangle will always have a scenario where one of the sides is longer both of the other sides. And, if the triangle has at least one side longer than the other, it cannot be a equilateral triangle. Therefore, an equilateral triangle can also be an acute triangle. Hope this helps!
Two teams are playing in the finals for an adult softball league. Each team has 13 players and the ages of the team members are shown in the tables. Which statement is true?
A) The mean for team 1 is greater than the mean for team 2.
B) The median for team 1 is greater than the median for team 2.
C) The median for team 2 is greater than the median for team 1.
D) The value of Q1 for team 1 is greater than the value of Q1 for team 2.
Answer:
B
Step-by-step explanation:
Drag tiles to match each fraction, decimal, or percent to an equivalent number
2 1/3 · 3 1/2
Could someone give me the product of this math problem?
Answer:
8.16666666667
Step-by-step explanation:
I have 12 apples, but I take 2, 3 are molding, 1 has a worm in it, I'm eating 1, and 3 fell on the floor... how much apples do I have?
Answer:
12 counting the one you're eating
Step-by-step explanation:
if 100 ml of rat poison is mixed with 2,5l of water then what would be the simplified poison water ratio
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1:25 ratio of rat poison to water
Explanation:
100:2500
10: 250
1:25
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Help!!!!
There is one dot at 3.45. What does that value
represent?
A school administrator claims that the average GPA of
the senior class is 3.53. You think that the average GPA
is greater than that, so you select a random sample of
100 seniors and calculate their average GPA. The
sample mean GPA is 3.70.
Using technology, you simulate selecting 100 SRS of
size n = 100 from a population of seniors for which the
mean GPA is 3.53. This dotplot shows the results.
O In one simulated SRS of 100 students, the average
GPA was = 3.45.
In one simulated SRS of 100 students, the
population mean GPA was u = 3.45.
There is a 1 out of 100 chance that the population
mean GPA is = 3.45.
O A majority of the sample of 100 students had a GPA
of r = 3.45.
Answer: In one simulated SRS of 100 students, the average GPA was x= 3.45
Step-by-step explanation:
Each dot in the dot plot in representation of one sample of 100 students, also I just turned it in
Answer:
A
Step-by-step explanation:
EDGE