ap calc multiple choice question; attached below
please explain how, please!
Answers
Answer:
C. [tex]\frac{f(b)-f(1)}{b-1}=20[/tex]
General Formulas and Concepts:
Calculus
Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]MVT is also Average ValueStep-by-step explanation:
Step 1: Define
[tex]f(x)=e^{2x}[/tex]
f'(c) = 20
Interval [1, b]
Step 2: Check/Identify
Function [1, b] is continuous.
Derivative [1, b] is continuous.
∴ There exists a c∈[1, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]
Step 3: Mean Value Theorem
Substitute: [tex]20=\frac{ f(b)-f(1)}{b-1}[/tex]Rewrite: [tex]\frac{ f(b)-f(1)}{b-1}=20[/tex]And we have our final answer!
Related Questions
How can I get better at math so I don't flunk?
Answers
Answer:My suggestion is practice what you learned after each class for like 10-20 min and pay close attention in class. Wish you the best of luck.
Step-by-step explanation:
PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.
Answers
Answer:
option D is the answer
Step-by-step explanation:
3n + 5
_______
n² + 5
1. At the beginning of the year, Maria had $100 in her savings account. She plans to spend $10 a
month on a music app. By the end of January, she will have $90, 580 by the end of February,
$70 by the end of March, and so on. Write an equation that describes the amount in her savings
at any given month. Be sure to describe what your variables represent.
Answers
Find the missing terms in each geometric sequence.
1. 3, 12, 48 __, __
2. __, __, 32, 64, 128, ...
3. 120, 60, 30, __, __
4. 5, __, 20, 40, __, __
5. __, 4, 12, 36, __, __
Answers
2. 8, 16 (it was adding the number together 8+8)
3. 15, 7.5 ( it was half of the number)
4. 10, 80, 160 ( times 2 )
5. .75, 108, 324 ( times 4 )
Hope this helped! Lmk if you need more help!
PLEASE HELP MEH!!!!!!!!!:
Answers
Answer:
A
Step-by-step explanation:
Point slope form
x, y
[tex](y-x)= (slope)(x-y)[/tex]
So its
[tex]y-6=\frac{1}{2}(x+3)[/tex]
So option 1.
Hope this helps plz hit the crown :D
Answer:
B
Step-by-step explanation:
y=mx +b
y= 1/2x = b
y intercept (0,-6)
Please help me with this equation
Answers
Answer:
u just expand the brackets out and make a linear equation to solve from there
Step-by-step explanation:
Please Help
Please let me know how to do it, I don't only want the answer. Thank you!
(4y+3)-(y-2)
(There is no equal sign in the math problem)
Answers
Which property should be used next in this solution process?
3x + 2 + 3 = 7(x - 1) – 4
3x + 5 = 7(x - 1) – 4
A. Commutative Property of Addition
B. Identity Property of Multiplication
C. Associative Property of Multiplication
D.
Distributive Property
Answers
Answer:
niwebfasfbjsdfb
Step-by-step explanation:
jsdfhsdbfjhadsjbdsfhb
What is the equation of the line in slope-intercept form?
Answers
Answer:
y = 4/3 + 4
Step-by-step explanation:
4/3 comes from using rise over run. 4 comes from the y-intercept.
Answer:
y = [tex]\frac{4}{3}[/tex] x + 4
Step-by-step explanation:
y = mx + b
m = [tex]\frac{rise}{run}[/tex] ; "b" is y-intercept
~~~~~~~~~~~
m = [tex]\frac{4}{3}[/tex] and b = 4
y = [tex]\frac{4}{3}[/tex] x + 4
Find the slope of the line without graphing using the 2 points below.
(-3 , 4) & (13 , 8)
m = _______
Answers
Answer:
Step-by-step explanation:
1. use the slope formula --> (y2-y1)/(x2-x1)
2. (8 - 4)/(13 -(-3))
3. 4/16
4. m = 1/4
Determine the input UNITS of ITEM and the output UNITS of ITEM for the statement
below:
It is a lovely time of year on the Serengeti Desert. Every time Simba washes his clothes,
he has to use 1 capful of detergent for each load of wash.
Answers
Answer:
For statement 1 :
INPUT UNIT OF ITEM : Time of the year on Serengeti Desert
OUTPUT UNIT OF ITEM : Simba washes his clothes
For statement 2
INPUT UNIT OF ITEM : 1 capful of detergent
OUTPUT UNIT OF ITEM : each load of wash
Step-by-step explanation:
For statement 1 :
INPUT UNIT OF ITEM : Time of the year on Serengeti Desert
OUTPUT UNIT OF ITEM : Simba washes his clothes
For statement 2
INPUT UNIT OF ITEM : 1 capful of detergent
OUTPUT UNIT OF ITEM : each load of wash
From answers provided above the basis for the answers is that an input unit of item will have to result to a reaction which is an output unit of item hence the answers above
What are the zeros of this function
Answers
There are 625 students at Median middle school. If 8% of the students were absent on Tuesday , how many students were absent?
Answers
=78.12
X100
=7,812
If 8% of students were absent on Tuesday no. of students that were absent was 50.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, There are 625 students at Median middle school and 8% of the students were absent on Tuesday.
∴ No. of students that were absent on Tuesday is 8% of 625 which is,
= (8/100)×625.
= 50.
Learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
The product of 5 and a number x is 1/4 What is the value of x?
x=19/4
x=1/20
x =5/4
x =4 3/4
Answers
Answer:
x=19/4
Step-by-step explanation:
The product of 5 and a number x is 1/4
a regular pentagon and an equilateral triangle have the same perimeter...........
(Please don't answer with anything that doesn't relate to it, such as no mimicking please i beg you)
I only have 1 hour before class help please
Answers
Answer:
Option 4: 45 units is the correct answer
Step-by-step explanation:
Let [tex]P_1[/tex] be the perimeter of Pentagon and
Let P2 be the perimeter of Triangle
So,
[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]
In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.
So,
[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]
Putting x = 20 in 2nd perimeter
[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]
As both the perimeters are same, the perimeter of pentagon will also be 45 units.
Hence,
Option 4: 45 units is the correct answer
Dominic is cutting a rectangular hole in his paper, from top left corner to the bottom right corner. The rectangle will be 4.5 cm long and 3.5 cm wide. which of the following is closest to the distance between the corners of the rectangle?
Answers
Answer:
Step-by-step explanation:
So initially you have a square piece of metal, 15" x 15". You cut out squares from the corners of each side with side length x.
So you'll have a sheet that looks something like this now (assuming the formatting works):
_____
__| |__
| |
|__ __|
|____|
Your original side length was 15, but it has now been reduced by x on each side, so you're now going to have a new side length of 15 - 2x
When you fold the box up, the box will have a height of just x.
So you have a base with lengths (15 - 2x) and (15 - 2x), and a height which is just x.
V = l*w*h
So
V = (15 - 2x)(15 - 2x)(x)
= 225x - 60x^2 + 4x^3
Hope this helps
a rectangular garage has a volume of 480m^3, with a length of 12m and the width 8m.
Answers
Answer:
5 m
Step-by-step explanation:
V = l × w × h
480 = 12 × 8 × h
h = 480 ÷ 96 = 5 m
Answer:
5m
Step-by-step explanation:
Well volume is V=Bh. So you do 12 times 8= 96 thats your base. So you need to them do 480 divided by 96 which equals 5 so therefore 5 is your answer. Also just to make sure that's the right answer, do 12 times 8 times 5. That equals 480.
BRIANLY I NEED HELP PLS THE RIGHT ANSWER ASP !PLS
Answers
Answer:c
Step-by-step explanation:
math
PLEASE HELP!!! I WILL MARK BRAINLY AND ITS WORTH 15 POINTS!!!
Answers
its 10 points
c and d cause each Px = 4 for c and 10 for d.
102 is 0.6% of what number
Answers
102 is 60% 170. Divide 102 by 0.6, which results in 102. Hope this helps! Have an amazing rest of your day and please mark brainliest! xx
When you flip a biased coin the probability of getting a tail is 0.35.
Find the probability of getting a head.
Answers
Answer:
0.65
Step-by-step explanation:
a coin has 2 sides so there is two outcomes
1-0.35=0.65
PLEASE HELP ME WITH MY MATHE HOMEWORK!
Answers
Answer:
59/6
Step-by-step explanation:
9x6=54
54+5= 59
put the denominator of the fraction to the denominator to the new fraction. I hope this helps.
the first blank is 25 the second blank is 10 what is the slope
Answers
Answer:
5/2
Step-by-step explanation:
25 and 10 so 25/10 or 5/2 or 2 1/2
Please help! It's about systems of equations. Answer correctly i will mark brainliest
Answers
Answer:
Step-by-step explanation:
Y= -6
X=-2
What is the slope of the line below
Answers
Answer:-1/2
Step-by-step explanation:
Look at the points
Felix deposited $1,340 into a savings account that earns 6% simple interest for 3 years. Find how much interest will he have earned.
Answers
Answer:
542
Step-by-step explanation:
divide it I hope it helps
Answer:
241.20 dollars
Step-by-step explanation:
Use the equation I=prt, where I is the interest and p is the percentage of simple interest, which is 6% or 0.06. T is the rate of time in years. R is the amount Felix deposited. Our equation would be:
I=(0.06)(1340)(3)
I=(0.18)(1340)
I=$241.20
Find the equation that represnts the graph.
Answers
3/3 = 1
(0, 3) so y intercept is 3
Final equation: y = x + 3
Answer:y=x+3
Step-by-step explanation:
can someone please help me
Answers
Answer:
a=5
Step-by-step explanation:
18-2a=8
-18 -18
-2a=-10
/-2 /-2
a=5
Sove the equation for all real solutions
-d^2-12d+4=-6d^2
Answers
Answer:
d=25 or d=2
Step-by-step explanation:
hope that helps!
Answer:
d=2/5 or d=2
Step-by-step explanation:
Step 1: Subtract -6d^2 from both sides.
−d2−12d+4−−6d2=−6d2−−6d2
5d2−12d+4=0
Step 2: Factor left side of equation.
(5d−2)(d−2)=0
Step 3: Set factors equal to 0.
5d−2=0 or d−2=0
d= 2/5 or d=2
Plzz plzzz explain this!!!!
Answers
Answer:
hope it helps...
Step-by-step explanation:
please comment me if it is really helpful ..