The value of integral ∫20x⋅f′(x)ⅆx∫02x⋅f′(x)ⅆx is 6.
By the fundamental theorem of calculus, we know that the integral of f(x) from 0 to 2 is equal to f(2) - f(0), which is 5 - 1 = 4. We also know that the integral of f(x) from 2 to 0 is equal to -(the integral of f(x) from 0 to 2), which is -7. Therefore, the integral of f(x) from 0 to 2 is (4-7)=-3.
Now, using integration by parts with u=x and dv=f'(x)dx, we get:
∫2⁰ x⋅f′(x)dx = -x⋅f(x)∣₂⁰ + ∫2⁰ f(x)dx
Since we know f(2)=5 and f(0)=1, we can simplify this to:
∫2⁰ x⋅f′(x)dx = -2⋅5 + 0⋅1 + ∫2⁰ f(x)dx = -10 + 3 = -7
Similarly,
∫0² x⋅f′(x)dx = 0⋅5 - 2⋅1 + ∫0² f(x)dx = -2 + 3 = 1
Therefore, the value of ∫2⁰ x⋅f′(x)dx + ∫0² x⋅f′(x)dx is -7+1=-6. But we are looking for the value of ∫2⁰ x⋅f′(x)dx / ∫0² x⋅f′(x)dx, which is equal to (-6)/1 = -6. However, the absolute value of the ratio is 6.
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y = -3/4x - 2
y = 3/4x + 1
one solution
two solutions
no solution
O infinitely many solutions
Answer:
One Solution
Step-by-step explanation:
Trust me
Enter the value of 12x-2 when x = 3.
Answer:
34
Step-by-step explanation:
12(3)-2
36-2
34
Answer:
im sorry if this is wrong but i think its 2
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:
Need serious help with this!!!!!!!!!!!!!!!!!!!
Answer:
240 miles
Step-by-step explanation:
64x3 =192
3/4 of 64 is 48
192 + 48 = 240
El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?
Answer: Translation:
The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?
Step-by-step explanation:
If your wages vary directly with how many hours you babysit, write the constant of
proportionality equation when w = 60 and h = 6.
W = wages
H = hours babysat
OPTIONS!!
1. W=1/10h
2. W=10H
3. H=10W
4. Y=1/10x
Please help!!!
Its an emergency
Answer: A
Step-by-step explanation:
The line 'd' separates the square into two triangles. Since the side lengths are equal, the angle is 45°. We need the line separating the two 90° angles, that I am going to define as 'z'. We can use the sine function.
[tex]\sin(45)=\frac{z}{5\sqrt{2} }[/tex]
z = 5
To solve for x, we can use sine again but for the 30 degree angle.
[tex]\sin(30)=\frac{5}{x} \\x=10[/tex]
Answer:
x=10
Step-by-step explanation:
The middle triangle has d as the hypotenuse and is an isosceles right triangle. The sides of such a triangle are in the ratio of y, y, and [tex]\sqrt{2}y[/tex].
For this triangle
[tex]\sqrt{2}y=5\sqrt{2}[/tex]
so y=5.
Tthe triangle on the right is a 30, 60, 90 triangle with sides in the ratio of
y, [tex]\sqrt{3}y[/tex], and 2y. So
2y=x=10
Three quarters of the cars in a parking garage are black, 4/7 of the remaining cars are blue, and the rest are silver. If there are 9 silver cars, how many cars are in the parking garage? * 1 point
Answer:
84 cars
Step-by-step explanation:
Given that 3/4 of the cars in a parking garage are black, let the number of cars in the garage be T, then
number of black cars = 3T/4, other = T - 3T/4 = T/4
If 4/7 of the remaining cars are blue then
the number of blue cars = 4/7 * T/4 = T/7
Remaining cars = T/4 - T/7
= (7T-4T)/28
=3T/28
Given that the remaining cars are sliver and the number of silver cars is 9 then
3T/28 = 9
Cross multiply
3T = 28 * 9
Divide both sides by 3
T = 28 * 9 / 3
= 28 * 3
= 84 Car
To find the interquartile range you need to ____the upper and lower quartile values.
Answer:
The correct options are: Interquartile ranges are not significantly impacted by outliers. Lower and upper quartiles are needed to find the interquartile range. The data values should be listed in order before trying to find the interquartile range. The option Subtract the lowest and highest values to find the interquartile range is incorrect because the difference between lowest and highest values will give us range. The option A small interquartile range means the data is spread far away from the median is incorrect because a small interquartile means data is nor spread far away from the median
Answer:
Calculate the median of
Step-by-step explanation:
Found on G O O G L E. Sorry if it's wrong.
150 miles in 6 gallons
Answer:
uh thanks for the points
Step-by-step explanation:
Answer:
Step-by-step explanation:
For example, suppose it takes you 15 minutes to travel 6 miles. The time elapsed is 15 minutes divided by 60 minutes = 0.25 hours, and your speed is 6 miles divided by 0.25 hours which equals 24 mph.
For an average person:
1 mile = 2,000 to 2,500 walking steps
1 km = 1,250 to 1,550 walking steps
10,000 steps = 4 to 5 miles
What is the length of BC
which is bigger or equal 6 gallons or 96 pints
Answer:
96 pints
Step-by-step explanation:
!!!HELP ASAP!!
Sam is installing a walkway around a rectangular flower patch in his garden. The flower patch is 12 feet long and 6 feet wide. The width of the
walkway is x feet.
by the flower patch and walkway by multiplying the functions modeling the new
Sam created function A to represent the total area taken
total length and width.
As) = 4:2 + 36.1 + 72
What does 412 + 365 represent in this function?
ОА
the area of the walkway along the length of the flower patch
the total area of the walkway
OB.
Oc. the total area of the flower patch
OD.
the area of the walkway along the width of the flower patch
Reset
Next
s reserved.
Answer:
A
Step-by-step explanation:
The thing that is represented is the area of the walkway along the length of the flower patch. Therefore, option A is the correct answer.
Given that, Sam created function A to represent the total area taken total length and width A= 4:2 + 36.1 + 72
How to illustrate the function?From the information given, Sam created function A to represent the total area taken up by the flower patch and walkway by multiplying the functions modelling the new total length and width.
Therefore, option A is the correct answer.
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david roller skates with a constant speed of 12kmh how far can he travel in 3 hours
Answer:
36
Step-by-step explanation:
12 x 3 =36
Answer:
36 kilometers or 22.4 miles
Step-by-step explanation:
12 kmh times 3 equals 36
Which set of values makes the inequality x + 2 ≥ 0 true?
Answer:
-2
Step-by-step explanation:
10x-3(2x+8) simplify and please step by step
Answer:4x−24
Step-by-step explanation:
10x−3(2x+8)
10x-(3*2x+3*8)
10x-(6x+24)
10x-6x-24
4x-24
Answer:
4x-24
Step-by-step explanation:
10x-3(2x+8)
step 1 distribute -3 to what's inside of the parenthesis
-3*2x=-6x and -3*8=24
so now we have 10x-6x-24
the last step is to combine like terms 10x+-6x=4x
4x-24
Use Distributive Property to simplify the following expression: 10(m + 5)
law of sines and law of cosines
Answer:
Step-by-step explanation:
[tex]1.\\ \\ \frac{sin148}{25}=\frac{sinx}{12}\\ \\ x=sin^{-1}\frac{12sin148}{12}\\ \\ x=32^o\\ \\ 2.\\ \\ x^2=42^2+16^2-2(42)16cos120\\ \\ x^2=2692\\ \\ x=\sqrt{2692}\\ \\ 3.\\ \\ 19^2=17^2+14^2-2(17)14cosx\\ \\ x=cos^{-1}\frac{124}{476}\\ \\ x=74.9^o\\ \\ 4.\\ \\ \frac{sin22}{15}=\frac{sin(180-48-22}{x}\\ \\ x=\frac{15sin110}{sin22}\\ \\ x\approx 37.63[/tex]
Answer:
4. [tex]\displaystyle 38 ≈ x[/tex]
3. [tex]\displaystyle 75° ≈ m∠X[/tex]
2. [tex]\displaystyle 52 ≈ x[/tex]
1. [tex]\displaystyle 15° ≈ m∠X[/tex]
Step-by-step explanation:
Before we begin, here are the formulas for both laws:
Solving for Angles
[tex]\displaystyle \frac{x^2 + y^2 - z^2}{2xy} = cos∠Z \\ \frac{x^2 - y^2 + z^2}{2xz} = cos∠Y \\ \frac{-x^2 + y^2 + z^2}{2yz} = cos∠X[/tex]
Do not forget to use [tex]\displaystyle cos^{-1}[/tex]in the end or you will throw the result off!
Solving for Edges
[tex]\displaystyle y^2 + x^2 - 2yx\:cos∠Z = z^2 \\ z^2 + x^2 - 2zx\:cos∠Y = y^2\\ z^2 + y^2 - 2zy\:cos∠X = x^2[/tex]
Take the square root of the end result or you will throw it off!
-----------------------------------------------------------------------------------
Solving for Angles
[tex]\displaystyle \frac{sin∠Z}{z} = \frac{sin∠Y}{y} = \frac{sin∠X}{x}[/tex]
Do not forget to use [tex]\displaystyle sin^{-1}[/tex]in the end or you will throw the result off!
Solving for Edges
[tex]\displaystyle \frac{z}{sin∠Z} = \frac{y}{sin∠Y} = \frac{x}{sin∠X}[/tex]
_____________________________________________
4. [tex]\displaystyle \frac{15}{sin\:22} = \frac{x}{sin\:110} \hookrightarrow \frac{15sin\:110}{sin\:22} = x \hookrightarrow 37,627178911... = x \\ \\ 38 ≈ x[/tex]
3. [tex]\displaystyle \frac{-19^2 + 17^2 + 14^2}{2[17][14]} = cos∠X \hookrightarrow \frac{-361 + 289 + 196}{476} = cos∠X \hookrightarrow 0,2605042016... = cos∠X; 74,900018217...° = cos^{-1}\:0,2605042016... \\ \\ 75° ≈ m∠X[/tex]
2. [tex]\displaystyle 16^2 + 42^2 - 2[42][16]\:cos\:120 = x^2 \hookrightarrow 256 + 1764 - 1344\:cos\:120 = x^2 \hookrightarrow \sqrt{2692} = \sqrt{x^2}; 2\sqrt{673}\:[or\:51,884487084...] = x \\ \\ 52 ≈ x[/tex]
You could have also used the Law of Sines sinse the base angles are congruent [30°].
1. [tex]\displaystyle \frac{sin\:148}{25} = \frac{sin∠X}{12} \hookrightarrow \frac{12sin\:148}{25} = sin∠X \hookrightarrow 0,2543612468... = sin∠X; 14,735739332...° = sin^{-1}\:0,2543612468... \\ \\ 15° ≈ m∠X[/tex]
I am joyous to assist you at any time.
Dla każdej z liczb 20, 60, 150, 300, znajdź liczbę : a) o 10% większa, b) o 20% mniejszą, c) o 50% mniejsza,
Odpowiedź:
Prosimy sprawdzić wyjaśnienie
Wyjaśnienie krok po kroku:
Na numer: 20
a.) 10% więcej;
(1 + 10/100) * 20;
1,10 * 20 = 22
b.) 20% mniej
(1 - 20/100) * 20
0,8 * 20 = 16
c.) 50% mniej
(1 - 50/100) * 20
0,5 * 20 = 10
Dla numeru 60:
a.) 10% więcej;
(1 + 10/100) * 60;
1,10 * 60 = 66
b.) 20% mniej
(1 - 20/100) * 60
0,8 * 60 = 48
c.) 50% mniej
(1 - 50/100) * 60
0,5 * 60 = 30
Na numer 150;
a.) 10% więcej;
(1 + 10/100) * 150;
1,10 * 150 = 165
b.) 20% mniej
(1 - 20/100) * 150
0,8 * 150 = 120
c.) 50% mniej
(1 - 50/100) * 150
0,5 * 150 = 75
Dla numeru 300;
a.) 10% więcej;
(1 + 10/100) * 300;
1,10 * 300 = 33%
b.) 20% mniej
(1 - 20/100) * 300
0,8 * 300 = 240
c.) 50% mniej
(1 - 50/100) * 300
0,5 * 300 = 150
SOMEONE PLEASE ANSWER THIS CORRECTLY AND SHOW HOW THE EQUATION WOULD LOOK LIKE!!!!!!! PLEASE HELP ASAPPPPPPPPP!!!!!!!!!!!!!
Answer:
The answer is C
Step-by-step explanation:
The plumber works $90 per hour and has earned a total of $955, to find the number of hours he worked, you divide the total amount of money by the amount of money he earned every hour. Which would be [tex]\frac{955}{90}[/tex] = H or 90H = 955.
Find the area of each composite figure.
Answer:
89.14 Sq . meter
Step-by-step explanation:
Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :
4 metres × 16 metres
= 64 sq. meter
Area of semicircle :
(pi×r^2)/2
= {(22/7)× (8/2)^2}/2
= (22×4×4)/(7×2)
= 176/7
= 25.14 sq. meter
Now , area of whole figure= (64+25.14)sq. meter
= 89.14 sq. meter
Help me for a cookie
Answer:
145 degrees
Step-by-step explanation:
1. A straight line is 180 degrees
2. 180-35=145
Find the two whole numbers that are the closest to √42. Explain your reasoning
The two whole numbers that are the closest to √42 are 6 and 7.
The given number is √42.
What is the square root of a number?The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
The square root of √42 =6.48
The two whole numbers that are the closest to √42 are 6 and 7.
Therefore, the two whole numbers that are the closest to √42 are 6 and 7.
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What is the meaning of data in mathematics?
Answer:
Data can be defined as a collection of facts or information from which conclusions may be drawn. Example of Data EXAMPLE :The data shown below are Mark's scores on five Math tests conducted in 10 weeks.
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION!!!!
ILL GIVE 20 POINTS
Answer:
D. This was the first time Judicial Review took action in court.
Step-by-step explanation:
The graph of f(x)=x is given which graph represents g(x)=1/3x
Answer:
Where are the graphs
Step-by-step explanation:
Answer the photo below thanks
Answer:
you have it marked correctly-A.1,2
Step-by-step explanation:
they are the same only flipped around
Answer:
A . 1 and 2
Step-by-step explanation:
count the squares
help please with math
Answer:
(2 x a)+(3 x b)+c=total points
Step-by-step explanation:
Expand 40 76/100 into decimal form then write the whole number with decimal.
Answer:
40.76
Step-by-step explanation:
gimme ye points
HELP PLS!!! make sure to submit a pic of the graph!
Graph the piecewise function.
Answer:
I cant graph on here
Step-by-step explanation:
Answer:
3x-5 if x≤-1 = Green
-2x+3 if -1<x<4 = Orange
2 if x≥4 = Purple