having trouble with this problem, pls help :/ I know the answer, just not how to get there. (ap calc ab, integrals)
Answers
Answer: D) 101
Step-by-step explanation:
By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out
[tex]\int\limits^{10}_{-1} {(2x+0.5f'(x))} \, dx =\int\limits^{10}_{-1} {2x} \, dx +0.5\int\limits^{10}_{-1} {f'(x)} \, dx =x^2|^{^{10}}_{_{-1}}+0.5f(x)|^{^{10}}_{_{-1}}\\=(100-1)+0.5(f(10)-f(-1))=99+0.5(8-4))=101[/tex]
I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?
Related Questions
The sum of the ages of two brothers is 38. in four years ago the age of the elder brother was the square of the younger brother. Find their ages
Answers
Answer:
Elder brother: 25
Younger brother: 5
Step-by-step explanation:
38 - (4+4)= 30
Now trial all square numbers
e.g 2 + 4 = 6 (does not work)
5 + (5x5)= 30
A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism? Enter your answer in the box.
Answers
Answer is in the file below
cutt.us/brainly
A=352in2
A=2(wl+hl+hw)=2·(8·12+4·12+4·8)=352in²
Questions in the attachments
Thank you to whoever answers :)
Answers
Answer:
A.
C.
D.
That should be the answer.
Hopefuly that helped.
All of the following operations are used to solve for x in the equation below except one. Which one is it?
9x-2=4x+8
A. Addition
B. Division
C. Multiplication D.subtraction
Answers
Answer:b
Step-by-step explanation: use pemdas
y= -2x + 2
2x+y= -2
Substitution Method! Someone Help!!! ASAP!!!!!
Answers
Answer:
no solution
Step-by-step explanation:
Which expression has the largest value? Each has 9/16 as a factor.
A) 1 2/3 x 9/16
B) 2 7/8 x 9/16
C) 9/2 x 9/16
D) 10/89 x 9/16
Answers
Answer:
A
Step-by-step explanation:
find the slope of this graph, I'll give you brainliest
if you dont know please dont answer
(no links please)
thanks in advance
Answers
Answer:
(-8,1) I think, I've been working on things like this In my classes so I think I'm right. But if I'm not don't get mad please!!
A 25,000-gallon swimming pool needs to be completely drained for maintenance purposes.
Your pump empties the pool at a rate of 30 gallons/minute.
Part A: Let h represent the number of hours the pool has been draining. Write an
equation that can be used to determine the number of hours it will take to
completely drain the pool.
Part B: Suppose you start draining the pool Monday, May 7 at 8:00 a.m. Would it be
safe to schedule maintenance to begin on Tuesday, May 8 at noon?
Answers
Answer:
A: 1800h-25,000
B: Yes, he would have time.
Step-by-step explanation:
A:
Lets turn 30 gallons/minute into hours so we can make it easier.
18000h-25000
Then plug in h which is hours. To get your answer
B:
From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.
So we plug in 28 for h and get our answer of 25400 gallons/hour
Find the slope of a line that passes through the following points (3,2) (5,-3)
A. 2/5
B. 5/8
C. -5/2
B. -5/8
Answers
Answer:
C
Step-by-step explanation:
Use the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-3 - 2) / (5 - 3)
m = -5/2
The perimeter of the base of a right square pyramid is 24 cm. The height of the pyramid is 6 cm.
What is the volume of the pyramid?
72 cm³
48 cm³
32 cm³
60 cm³
Answers
Answer:
72 cm³
Step-by-step explanation:
i just took the test :)
The volume of the given right square pyramid is 72 cm³. The correct answer would be an option (A).
What is the volume of a right square pyramid?The formula for the volume of a right square pyramid is:
V = (1/3) B × h
where B is the area of the base and h is the height of the pyramid.
Since the perimeter of the base is 24 cm, and there are four equal sides, each side must be 24/4 = 6 cm.
The area of the square base is:
B = s² = 6² = 36 cm²
The volume of a right square pyramid is:
V = (1/3) B × h
Substituting in the given values, we get:
V = (1/3) × 36 × 6
V = 72 cm³
Therefore, the volume of the pyramid is 72 cm³.
Learn more about the volume of the pyramid here:
https://brainly.com/question/13268927
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i need help can you explain how to do it
Answers
Answer:
-7.
Step-by-step explanation:
(x²+t²x+t³+8)`=(x²)`+(t²x)`+(t³)`+(8)`=2x*x'+2t*x+t²*x'+3t²;
[tex]x'=\frac{2tx+3t^2}{t^2+2x};[/tex]
[tex]x'(-2;-4)=\frac{2*2*4+3*4}{4-8}=-7.[/tex]
3/4 x 1/5, just double checking for a test
Answers
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer....
3/4 × 1/5 = 3/20Hope it helps you,
Mark me brainliest plz....
Follow me! :)
Find the mode of 10,12,11,10,15,20,19,21,11,9,10.
Answers
Answer:
mode is 10 as it is repeated more
Help ASAP!!!!! Which is the same as moving the decimal point 3 places to the right in a decimal number?
Answers
Answer:
In this case, the net effect is that you moved the decimal point three places to the right, which is the same as multiplying 7 by 1,000.Step-by-step explanation:
the correct answer is b
Select the angle whose sine equals 12/37
Answers
Answer:
r
Step-by-step explanation:
sin is o/h so across from 12 would be the angle r
Answer is Option-D => ∠R
Sinθ Formula:
The sine of an angle of a right-angled triangle is the ratio of its perpendicular (that is opposite to the angle) to the hypotenuse. The sin formula is given as: sinθ = Perpendicular / Hypotenuse
Here, (Given)
Perpendicular = 12
Hypotenuse = 37
So, For sinR, we get 12/37 value as the opposite side of an angle ∠R is 12.
Answer is ∠R.
Learn more about Sinθ here:
https://brainly.com/question/2787701?referrer=searchResults
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Which game is not fair?
choosing the correct number between 1 and 10
spinning a spinner that is half red and half blue
flipping a coin
drawing a marble from a bag of 12 red and 12 blue marbles
Answers
Answer:
choosing the correct number between 1 and 10
hope my ans helps
plz give brainliest to my answer
be sure to follow me
stay safe
have a good day
this is on ttm or imagine math
Answers
Answer:
I think the answer is A as well
Step-by-step explanation:
Answer:
a a a a a a a a a a a a a
Step-by-step explanation:
Helppp pleaseeee which one
Answers
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
if it costs $4 to make 3 cards, and $6 to make 7 cards, what's the total cost of making 25 cards?
Answers
Answer:
Step-by-step explanation:
7+3 = 10 $4+$6=$10
so it costs 10 dollars to make ten cards, how many times does 10 go into 25? 2
so $20 so far, I'm not that good at explaining.
Now with the remaining 5 cards that we have to make, we add three and have 24$ for 23 cards. Now with the remaining two cards we add $1.50.
because 2 x 1.50 = 3
so $25.50 for 25 cards I think...
I really hope I'm right and I hope this helps!
Can you find out a harder question my child is so smart I can’t keep up with her
Answers
Answer:
what they currently going over?
What is the value of p?
x=1/4y^2
Answers
Answer:
The value of p is 1
Step-by-step explanation:
we know that
The standard form of the equation of a horizontal parabola is
(y - k)² = 4p(I - h)
where
(h,k) is the vertex
p[tex]\neq[/tex] 0
if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.
In this problem we have
I = [tex]\frac{1}{4}[/tex]y²
Convert to standard form
y² 4I
The vertex is the point (0,0)
4p = 4
P = 1 -----> p > 0, the parabola opens to the right
On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?
Answers
A cup of coffee at 95 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 2 degrees Celsius per minute when the temperature of the coffee is 70 degrees. The differential equation describing this has the form
Answers
Answer:
See Explanation
Step-by-step explanation:
For an object at temperature T and supposing that the ambient temperature is Ta then we can write the differential equation that typifies the Newton law of cooling as follows;
dT/dt=-k(T-Tₐ)
So
dT/dt = 2 degrees Celsius per minute
T = 70 degrees Celsius
Ta = 25 degrees Celsius
2 = -k(70 - 25)
-k = 2/(70 - 25)
k = - 0.044
Hence we can write;
dT/dt=-(- 0.044)(95-25)
dT/dt= 3 degrees Celsius per minute
Find the length of side x in simplest radical form with a rational denominator
Answers
Answer is in the file below
tinyurl.com/wpazsebu
Write the equation of the line (y = mx+b) that has a slope of 2/3 and passing through the point (-6, 4)
Answers
Answer:
y = 2/3x + 4
Step-by-step explanation:
y = 2/3x + b
substitute
4 = 2/3(-6) + b
4 = -4 + b
what number added to -4 will equal 4? the only answer is 8.
-4 + 8 = 4.
b = 4
YOU WILL HAVE BRAINLEST LITERALLY!
A large store has the same number of workers on each of
2 teams to handle
different shifts. They decide to add 10 workers to each team, bringing the
total number of workers to 140. An executive at the company that runs this
chain of stores wants to know how many employees were in each team before
the increase.
Answers
the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age?
Answers
Answer:
15 years (180 months)
Step-by-step explanation:
turn it into months first
147
216
163
206
180
168
add them together, then divide by how many there are
1,080/6=180 months
180/12 =15
36/81 × 10/50 simplest form
Answers
Answer:
36/81 x 10/50 is 29/45. Since 29 is a prime number and 45 is not divisible by 29, 29/45 would be the simplest form.
Hope this helps! Brainliest?
Solve for the length of BA and BC, round your answer to 1 decimal place
Answers
Answer:
[tex]BA = 6.0[/tex]
[tex]BC = 13.4[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) BA
Considering the tangent of angle C, we have:
[tex]tan\ C = \frac{BA}{AC}\\[/tex]
This gives:
[tex]tan\ 25 = \frac{BA}{12}[/tex]
Make BA the subject
[tex]BA = 12 * tan\ 25[/tex]
[tex]BA = 12 * 0.4663[/tex]
[tex]BA = 6.0[/tex] --- approximated
Solving (a) BC
Using Pythagoras theorem
[tex]BC^2 = BA^2 + AC^2[/tex]
[tex]BC^2 = 6.0^2 + 12^2[/tex]
[tex]BC^2 = 180[/tex]
Square root of both sides
[tex]BC = \sqrt{180[/tex]
[tex]BC = 13.4[/tex]
I NEED THE ANSWER ASAP:
Dr. Whether-or-Not collects two hailstones during a storm in California. One hailstone weighs 2 3/8 pounds, and the other hailstone weighs1 3/10 pounds. How much heavier is the larger hailstone than the smaller hailstone?
Answers
Step-by-step explanation:
difference in weight
= 2 3/8- 1 3/10
= 19/8-13/10
=(19*5 -13*4)/40
=95-52/40
=43/40
=1 3/40 pounds
Answer:
1 3/40, or 1.075!
Step-by-step explanation:
Please tell me if i made a mistake or misunderstood.