Answer:
Add more points (0.5, 2), (-2,4)
Step-by-step explanation:
AP Calc BC help!
Can someone explain how to do these problems? I care more about the explanation than the actual answer! My course never taught me how to do these kinds of problems.
Thank you!!
Answer:
Question 1) 72
Question 2) 40
Question 3) Both C and D.
Question 4) Both A and C.
Step-by-step explanation:
Question 1)
We are given that:
[tex]\displaystyle \int_1^5f(x)\, dx=8\text{ and we want to find} \int_1^5xf'(x)\, dx[/tex]
We will use integration by parts, given by:
[tex]\displaystyle \int_a^b u\, dv=uv-\int_a^b v\, du[/tex]
We will let:
[tex]u=x\Rightarrow du=dx\text{ and } dv=f'(x)\, dx \Rightarrow v=f(x)[/tex]
Therefore:
[tex]\displaystyle \int_1^5xf'(x)\, dx=xf(x)\Big|_1^5-\int_1^5f(x)\, dx[/tex]
Substitute:
[tex]\displaystyle \int_1^5xf'(x)\, dx=(5(f(5))-(1(f(1))-(8)[/tex]
Evaluate:
[tex]\displaystyle \int_1^5xf'(x)\, dx=75-(-5)-8=72[/tex]
Question 2)
Similarly, we will let:
[tex]\displaystyle u=x\Rightarrow du=dx\text{ and } dv=f'(x)\, dx \text{ so } v=f(x)[/tex]
Hence:
[tex]\displaystyle \int_0^3 xf'(x)\, dx=xf(x)\Big|_0^3-\int_0^3f(x)\, dx[/tex]
Evaluate:
[tex]\displaystyle \int_0^3 xf'(x)\, dx=(3f(3))-(0(f(0))-(2)[/tex]
Thus:
[tex]\displaystyle \int_0^3 xf'(x)\, dx=3(14)-2=40[/tex]
Question 3)
We are given:
[tex]\displaystyle g(x)=\int_4^xf(x)\, dx[/tex]
By the Fundamental Theorem of Calculus:
[tex]g'(x)=f(x)>0[/tex]
The derivative of g is always positive. So, the values of g are always increasing.
The tables that reflect this are C and D.
And there are, as I understand it, no way to determine their exact values. Both C and D are correct.
Question 4)
Similarly, we are given:
[tex]\displaystyle g(x)=\int_{-2}^xf(x)\, dx[/tex]
By the FTC:
[tex]g'(x)=f(x)<0[/tex]
So, g should be decreasing for all x.
The tables that reflect this are A and C.
So, both A and C are correct.
At a sale, coats were sold for 82% of their original price. If the coats originally cost $200 each, how much did a coat cost on sale?
164
Step-by-step explanation:
The solution is, a coat cost on sale = $164.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
At a sale, coats were sold for 82% of their original price.
If the coats originally cost $200 each,
so, a coat cost on sale = $200* 82%
=$164
Hence, The solution is, a coat cost on sale = $164.
To learn more on percentage click:
brainly.com/question/13450942
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Hey please help me please
Answer:
c
Step-by-step explanation:
360 is a full rotation and 90 is a quarter
Answer: C
Step-by-step explanation:
Jada’s dog was 5 1/2 inches tall when it was a puppy. Now her dog is 14 1/2 inches taller than that. How tall is Jada’s dog now as a fraction?
Answer: 20 or 20/20
Step-by-step explanation: It equals a whole number.
Answer:
20/20
Step-by-step explanation:
so there is 5 1/2, you can add 14 1/2, 14 plus five equals 19, but you also have to add the two halves, which in total gives you 20/20.
Which properties were used to prove that the expressions 7x+4-x-2 and 6x+2 are equivalent?
Answer:
12
Step-by-step explanation:
12
Determine if the lines are parallel, perpendicular or neither. Show all work.
x - 5y = 30 and 10y = 2x + 90
Answer:
The lines are parallel
Step-by-step explanation:
Answer:
Step-by-step explanation:
Put the equations into slope-intercept form.
x-5y = 30 ⇒ y = ⅕x - 6
10y = 2x + 90 ⇒ y = ⅕x + 9
Both lines have slope = ⅕, so the lines are parallel.
AKAJAXOSPAPXODAOAPA HELP
Answer:
He used 6 bananas at .50 which cost $3.00
12 oranges at .75 which cost $9.00 and
3 papayas at $1.25 which cost $3.75
Step-by-step explanation:
We can set up a system of equations using the information given.
b for banana, r for orange, p for papaya
b + r + p = 21. Also given r = 2b So substitute to simplify for calculating two unknowns:
b + 2b + p = 21 The number of items.
50b + 75(2b) +125p = 1575 The cost.
I multiplied everything by 100 to eliminate the decimals.
To solve by substituion, rewrite the first equation to get a value for p in terms of b
p = 21 - 3b
Substitute this value in the second equation and solve for b.
50b + 150b + 125(21–3b) = 1575
200b +2625 –375b = 1575 Subtract 2625 from both sides and combine the like terms:
–175b = 1575 –2625
–175b = –1050. Divide both sides by –175
b = 6
Substitute in the original equation to find the amount of each fruit:
b + r + p = 21
b = 6 bananas
r = 2b. 2(6) = 12 oranges. I used r so as not to mix up o with 0.
6 + 12 + p = 21
p = 21 –18
p = 3 papayas
How many fluid ounces are in 1 quart? With work!
Answer: 32 fluid ounce = 1 quart
Hey I'm sorry. I don't know if there are any work to show for this but I will try.
1 quart=2pints
2pints=4cups
4cups=32 fl oz
This is all the work I could show for this problem, you really should memorize this though 32 fl oz in a quart, it is very useful real life information :)
I need help with this math question
Answer:
16675514 Frog
Step-by-step explanation:
[tex]g(25)=14(1.75)^{25} =16675514[/tex]
1) If the first coordinate represents the output value and the second coordinate represents
the input value, which two points could NOT be on the graph of the same function?
(output, input)
A. (2.2)
D. (4,7)
B. (2, 3)
E. (7.4)
C (2.4)
Answer:
A. Yup. A.
Step-by-step explanation:
Help I have a math assignment due by 11:59 pm and I’m stuck!
Answer:
answer C: 140 cm
Step-by-step explanation:
If the water rises 14cm in 2 seconds, 21cm in 3 seconds etc... Then the water rises at 7cm per second. Multiply this by 20 seconds and you get 140cm
By find how high the water would be after 20 seconds, you would find out much height is increasing each second.
21 - 4 = 7
28 - 21 = 7
35 - 35 = 7, and so forth.
So, we know that 7 cm is increasing each second. You would just add 7 to the height for each second.
2 --> 14
3 --> 21
4 --> 28
5 --> 35
6 --> 42
7 --> 49
8 --> 56
9 --> 63
10 --> 70
11 --> 77
12 --> 84
13 --> 91
14 --> 98
15 --> 105
16 --> 112
17 --> 119
18 --> 126
19 --> 133
20 --> 140
Thus, after 20 seconds, the water's height would be c) 140 cm.
X + 35 = 5 so X + ?
Answer:
x = -30
-30 + 35 = 5
Step-by-step explanation:
I NEED THIS DONE ASAP PLS-
ok so i completely forgot how to do long division, and my hand writing sucks ik, sooo i need help pls! q-q
I SWEAR I WILL GIVE THE BRAINLY CROWN THINGY!! (and 20 points)
Answer:
you wrote that wrong cause ur answer is 0.01225490196
Step-by-step explanation:
Answer:
The answer is 321.6
Step-by-step explanation:
We have to go step by step when we are solving this.
Lets think of it like this
Does 25 go into 8? No! So lets put a 0 on the top (I see you already did that so good start)
Does 25 go into 80? Yes! How many times though? 3 times; So lets put a 3 on the top (Our top should look like 03) Since 25 goes into 80 3 times we need to multiply 25 and 3.
25x3= 75 -> Subtract that 75 from 80
Now we have a remainder of 5. We are going to bring down the 4 so it can be a complete number, and now it would be 54.
Does 25 go into 54? Yes! How many times? 2 times; So lets put a 2 on the top (Our top should look like 032) Since 25 goes into 54 2 times we have to multiply 25 and 2.
25x2=50 -> subtract that 50 from 54 -> 54-50=4
Now we have a remainder of 4. Bring down the last number, 0 and now we should be with 40.
Does 25 go into 40? Yes! How many times? 1 time; therefore we will just be subtracting 25 from 40. (our top should look like 0321)
40-25= 15 -> we have a remainder of 15. 25 can't go into 15 because 15 is too small. Therefore we are going to have to make a decimal. So on the top add a decimal after 1 and bring down an invisible 0. (Our top looks like this 0321.)
Does 25 go into 150? Yes! How many times? 6 times; so lets multiply 25 and 6 and then subtract that from our 150 that is down there.
25*6= 150
150-150= 0
THAT MEANSSSSS..... our answer is 321.6! P.S yes drop that 0!
Hopefully this helped
Use the discriminant to determine all values of k which would result in the graph of
the equation y = -2x2 + kx – 18 being tangent to the x-axis.
Answer:
k = ±12
Step-by-step explanation:
Equation of the graph is,
y = -2x² + kx - 18
Discriminant of a quadratic equation, y = ax² + bx + c is defined by
Discriminant = √(b²- 4ac)
If √(b²- 4ac) = 0,
Equation will have one real solution.
Discriminant of the the given equation = √[k² - 4(-2)(-18)]
Since, graph of the equation is tangent to the x-axis, there will be one real solution.
Therefore, √[k² - 4(-2)(-18)] = 0
k² - 144 = 0
k = ±√144
k = ±12
Which expression is represented by the model below?
2 bars are shown next to each other and each bar is labeled
A.
8
×
2
3
B.
3
×
2
8
C.
8
×
3
2
D.
2
×
3
8
Answer
its d
Step-by-step explanation:
The expression that is represented by the model below is -
y = 2 x 3/8.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given are two labelled bars shown next to each other and each bar.
3 of the 8 bars are colored. Using fraction, we can represent it as -
{f} = 3/8
There are two such bars, so we can write -
y = 2{f}
y = 2 x 3/8
Therefore, the expression that is represented by the model below is -
y = 2 x 3/8.
To solve more questions on algebraic expressions, visit the link below -
https://brainly.com/question/27911936
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Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is of a cubic unit and the base area is of a square unit, what is the height of the chest?
Complete question :
Tim knows the volume and base area of a wooden chest that is in the shape of a rectangular prism. If the volume is 5/24 cubic unit and the base area is 1/5 square unit, what is the height of the chest?
Answer:
1 1/24 units
Step-by-step explanation:
Volume of a rectangle prism:
Volume = Lenght * Width * Height
Base area = Length * width
Volume = Base area * Height
Volume = 5/24 unit³
Base area = 1/5 unit²
Plugging values into our formula :
5/24 = 1/5 * height
Divide both sides by 1/5
Height = 5/24 ÷ 1/5
Height = 5/24 * 5/1
Height = 25 / 24
Height = 1 1/24
= 1 1/24 units
Answer:
B. 1 1/24 units
Step-by-step explanation:
can someone please help?? what’s the measure of the vertex angle
Answer:
120 deg
Step-by-step explanation:
There is an angle symbol in the equilateral triangle and another symbol in half of the vertex angle. Those two angles are congruent.
The measure of the vertex angle is 2 * 60 deg = 120 deg
Answer: 120 deg
HURRY PLEASE. 90 POINTS!! Find –(–8). –18, –8, 0, 8
Answer:
Convert all numbers into either decimals, fractions, or percents.
0.8=0.8
8%=0.08
18%=0.18
1/8=0.125
8/18=0.445
0.08<0.125<0.18<0.445<0.8
Convert back to original
8%,1/8,18%,8/18,0.8
A particular country has 60 total states. If the areas of all 60 states are added and the sum is divided by 60, the result is 187,626 square kilometers. Determine whether this result is a statistic or a parameter.
Expand the polynomial: (2x+3)^2
Answer:
4x^2+12x+9
Step-by-step explanation:
(2x+3)^2=(2x+3)(2x+3)=4x^2+12x+9
15 points + brnlist , need help asap!!! (with a picture)
Answer:
C
Step-by-step explanation:
According to my calculations Its c
9) 5xy+10x ??????????????????
Answer:
5x(y+2)
Step-by-step explanation:
Answer:
You cannot add them because they both don't have the same like terms.
But if you just straight out add your answer would either be 15xy or just 15x
Step-by-step explanation:
Sorry hope this helped in someway
URGENT PLEASE HELP ASAP
AHAHAHAHAHAHA SO JM IS EQUAL TO 29⁰ AND YOU NEED TO FIND ANGLE L BUT I DON'T KNOW WHAT IT EQUALS TO
A fish tank has 45 gallons of water in it. If it is 90% full, what is the full capacity of the fish tank? The fish tank can hold gallons of water when full to capacity.
Answer:
My answer is 55 or 60 which would be 100%
Step-by-step explanation:
there's 4 that describe the same function
Answer:
A,B,C,E
Step-by-step explanation:
for a everything is multiplied by 10
for c everything is divided by 6
for b everything is divided by 12
e is the only other one that fits
for a everything is multiplied by 10
for c everything is divided by 6
for b everything is divided by 12
e is the only other one that fits
ABCE is the answer to the question
Answer the photo below thanks
Answer:
I think its D
Step-by-step explanation:
What is -2 1/3 - (-5)?
Answer: =2 2/ 3
Step-by-step explanation:
A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate
Answer:
[tex]\frac{9}{64}[/tex]
Step-by-step explanation:
Probability refers to chance of occurrence of any event.
Probability that each of them is germinates [tex]=\frac{3}{4}[/tex]
So,
Probability that each of them is germinates won't germinate [tex]=1-\frac{3}{4}=\frac{1}{4}[/tex]
Probability that only one of them will germinate = [tex]=\frac{3}{4}(\frac{1}{4})^2=\frac{9}{64}[/tex]
Yolanda has 1/6 cup ladle that she uses to pour gravy over potatoes she uses one full ladle for each serving for each server potato
Answer: what is the question
Step-by-step explanation:
Bir sayının 2 bölü 5 'sinin 3 eksiği, bu sayının çeyreğine eşittir.
Buna göre bu sayı kaçtır?
Answer:
si cardo bahyanbayansusb
