Answers
Answer:
(a) 12
Step-by-step explanation:
The integral over the reverse range is the opposite of the integral over the forward range. The integral over adjoining ranges is the integral over the whole range.
Application[tex]\displaystyle \int_{-1}^5{f(x)}\,dx=\int_{-1}^1{f(x)}\,dx+\int_{1}^5{f(x)}\,dx\\\\=\int_{-1}^1{f(x)}\,dx-\int_{5}^1{f(x)}\,dx=5-1=4[/tex]
Then 3 times the integral is ...
[tex]\displaystyle 3\int_{-1}^5{f(x)}\,dx=3(4)=\boxed{12}[/tex]
Related Questions
What is the area of this shape?
Answers
Answer:
720
Step-by-step explanation:
3. Given: AE is a tangent of OO
m/FAE = 85
m AB= 40
m BC= 16
m CD= 10
m212=55
mZGAK = 75
Answers
Given: AE is a tangent to circle OO, m/FAE = 85, m AB = 40, m BC = 16, m CD = 10, m 212 = 55, m ZGAK = 75.What is required to be found out?We need to find mEGAP. So, mEGAP = 230/2 = 115.
Solution:According to the Theorem, "If a line is drawn tangent to a circle at the endpoint of a diameter, then the angle formed by the line and the diameter is a right angle."Therefore, the diameter would be OO.Now, we need to find the value of m EGA.From the angle of the segment, we know that a circle is 360 degrees and that an arc is equal to the angle subtended by it.
If 212° = 55°, then arc AKB = 360° - 212° = 148°.
Similarly, we can calculate arc GAC = 360° - 75° = 285°.So, arc AKC = arc AKB + arc GAC = 148° + 285° = 433°.As arcs AKC and KGD are opposite, they are equal.
Therefore, arc KGD = 433°.It is given that the length of arc KGD is 40+16+10 = 66. Therefore, the length of the entire circle is 433/360 x 66 = 80.02.
Most importantly, the value of m EGA is 360° - 75° - 55° = 230°.Therefore, m EGAP = 230/2 = 115.Answer: m EGAP = 115.
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Using a graphical method, solve the quadratic equation:
-X2 - 2x + 3 = 0
Answers
2-2x+3=0
5-2x=0
-5 -5
-2x=-5
/-2 /-2
x=2.5
---
hope it helps
sorry if I'm wrong
the X confused me
(see picture) Find the measures of the numbered angles in each isosceles trapezoid.
Answers
I hope it’s correct please mark me :)
. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?
Answers
Answer:
8
Step-by-step explanation:
line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye
7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51
Answers
Answer:
B. -27
Step-by-step explanation:
7*-5= -35 6*2 = 12 . t= 4
-35 + 12 = -23
-23 - 4 = -27
Answer: B. -27
Step-by-step explanation:
7(-5) + 6(2) - 4
-35 + 12 - 4
-23 - 4
= -27
Use the elimination method to solve the system of equations.Choose the correct ordered pair. - x + y = - 2 and 2 x - 3y = 4
Answers
Answer:(2,0) x=2,y=0
Step-by-step explanation:
Let's solve your system by elimination.
−x+y=−2;2x−3y=4
Multiply the first equation by 2,and multiply the second equation by 1.
2(−x+y=−2)
1(2x−3y=4)
Becomes:
−2x+2y=−4
2x−3y=4
Add these equations to eliminate x:
−y=0
Then solve−y=0 for y:
−y=0
−y/−1 =0/−1
(Divide both sides by -1)
y=0
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−x+y=−2
Substitute0foryin−x+y=−2:
−x+0=−2
−x=−2(Simplify both sides of the equation)
−x/−1 = −2/−1
(Divide both sides by -1)
x=2
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answers
Answer:
90 degrees c
Step-by-step explanation:
Hope this helps and have a wonderful day!!!
Also can you give me brainlist???
Answer:
90 degrees celsius
Chris said that a fraction equivalent to 9/12 is 3/6
Answers
Answer:
9/12 is equal to 3/4.
Step-by-step explanation:
9 and 12 can both be divided by 3. In the fraction, divide both the top and the bottom by 3 and you get 3/4.
9/12 simplified is 3/4.
I suspect where Chris went wrong was that he though 9 divided by 2 was 3. In reality, it's 4.5.
Maybe he went wrong because he accidentally divided 12 by 2 instead of 3.
The fraction 9/12 and 3/6 are not equivalent as 91/2 is 3/4.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Chris said that a fraction equivalent to 9/12 is 3/6.
We know we write fractions in the simplest form.
Now, In the fraction 9/12 we can factor out 3 to both the numerator and the denominator.
Therefore, The fraction 9/12 is equivalent to 3/4.
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A Box Contain 2 yellow and 3 blue
Cards in how many ways Can 3 Cards
be selected if
(a) If at least 1 card must be yellow
(b) If at least 1 Card must be blue
pls show your Woking
Answers
Answer:
2/5= yellow
3/5= blue
Step-by-step explanation:
total cards= 2(yellow) + 3 (blue)
=5 cards total
probability for drawing yellow card= 2/5
probability for drawing blue card= 3/5
Step-by-step explanation:
a)2:5
2/5x100=40%
b)3:5
3/5x100=60%
i don't what U want so, I hope it'll help U
Please help!! I’ll give you brainliest!!
I can even Venmo someone like 5$ if they wanna do it
Answers
Answer:
1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges
Step-by-step explanation:
In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius
The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]
1) The radius is r = 4 which is greater than one so it Diverges.
2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.
3) The radius is 0.5 which is less than 1 so it Converges.
4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.
5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.
The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.
6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.
7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.
to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]
8) plug in given information
[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]
9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.
Hopefully the work I did was right. Have a good one!
Proving triangles similar
Answers
Answer: SIDE ANGLE SIDE
Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73
Answers
Answer:
I think its 2.73 not sure tho
Step-by-step explanation:
Answer:
I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)
Step-by-step explanation:
Which statement below about the quiz scores is true?
Answers
Answer:
need the whole question .....
Step-by-step explanation:
Answer:
The median score is 80 ;)
Step-by-step explanation:
TRUE OR FALSE LOOK THE PHOTO
Answers
Answer:
False
Step-by-step explanation:
3 and 6 are alternating interior angles. If A and B were parallel, Angle3 would be equal to (180 - Angle6). Because the question indicated that they're congruent, the two lines are not parallel.
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!
An experiment involves flipping a fair coin and rolling a fair six-sided die. List all possible outcomes of the experiment. Use an organized list, table, or tree diagram.
A. What is the probability of getting a head and an even number?
B .What is the probability of getting a tail and the number 4?
D .What is the probability of getting a 5?
Answers
Answer:
Step-by-step explanation:
1. 1/2
2. 1/4
3. 1/8
PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
Answers
If u add them n+(n+1) you get 157
So,
n+n+1=157
2n=156
n=78
Help me explanation
Answers
Answer:
number 2 - x=50, y =69
Step-by-step explanation:
Angles in a polygon of a pentagon add up to 540
so 180 +125+98+98 = 429
540 - 429 = 111
now you do x = 50 so
2 times 50 which is 100
then plus 11 which is 111
can you help me with this??
Answers
9514 1404 393
Answer:
relative maxima: x=-3, +1relative minima: x=-1, +5Step-by-step explanation:
The relative maxima are the peaks, the highest points. There are two of them. One is to the left of the y-axis at about x=-3; the other is to the right of the y-axis at about x=1.
The relative minima are the valleys, the lowest points. There are two of those, also. One is to the left of the y-axis at about x=-1; the other is to the right of the y-axis at about x=5.
relative maxima: x=-3, +1relative minima: x=-1, +5
The value of [-10] is?
A.11
B.-10
C.-9
Answers
Answer:
B = -10
Step-by-step explanation:
the answer is B = - 10
Answer:
b. -10
Step-by-step explanation:
what happens to the graph of y = |x| when the equation changes to y |x-9|?
Answers
Help with number two please:)
Answers
Well 6x3=18
So 5x3=15
[tex] \sqrt[3]{4( \sqrt[3]{6 + \sqrt[3]{10)} } } [/tex]
Answers
Answer: 77824
Step-by-step explanation:
PLEASE HELP ME FAST, I ASKED THIS ALREADY AND ALL I GOT WAS ONE OF THOSE SCAM LINKS :( IF YOU GIVE AN EXPLANATION I CAN GIVE YOU BRAINLIEST!
Two angle measures in a triangle are 47° and 43°. What type of triangle is it?
Also, I just wanted to say that I can only give brainliest if two people answer. Thank you!
Answers
Answer:
Right triangle
Step-by-step explanation:
Answer:
Right triangle
Step-by-step explanation:
To find the third angle, we add the two known angles.
47 + 43 = 90
The sum of all the angles of a triangle is always 180.
Therefore, we subtract 90 from 180 to find the third, unknown angle.
180 - 90 = 90
Because 90 degrees is the third angle, and 90 degrees is a right angle, this is a right triangle.
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!! IF YOU PUT A LINK YOU WILL BE REPORTED!!!!!!!!!
Answers
Answer:
A. False
B. True
C. True
D. True
Step-by-step explanation:
Hey man good luck that’s all i can say brotha
If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item. Please explain. Thank you.
Answers
So $300
Answer: 300
Step-by-step explanation:
20% of $250 is $50
So $300
Solve for 0 Round your answer to the nearest tenth.
20
13
A =
degrees
Answers
Answer:
1.835
Step-by-step explanation:
use pythagoras theorem to find missing side
use sin to find missing angle
missing side/13 = 1.835
Answer these questions please i need to pass my grade but i dont know this
Answers
Here’s a pic
First you got to find the area which is length x width x height.
I can’t attach two papers sorry but here’s the bottom
i'll give brainliest
reflect (-4,4) in the x-axis
Answers
Answer:
(-4,-4)
Step-by-step explanation:
Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.
In this coordinate: (-4,4)
Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).
The new coordinates after being reflected across the x-axis are (-4,-4).
C In circle K, segment is tangent to the circle at point A. If the radius of the circle has a length of 5 units and the tangent has a length of 12 units, then what is the length of ?
Answers
The length of segment BC is approximately 10.92 units.
To find the length of segment BC, we can use the properties of a tangent to a circle.
In a circle, a tangent is perpendicular to the radius drawn to the point of tangency. Therefore, triangle ABC is a right triangle with AB as the hypotenuse.
Given that the radius of the circle is 5 units and the tangent AB has a length of 12 units, we can apply the Pythagorean theorem to find the length of segment BC.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides (BC and AC).
Applying the theorem to triangle ABC:
AB^2 = BC^2 + AC^2.
Substituting the given values:
12^2 = BC^2 + 5^2.
144 = BC^2 + 25.
Rearranging the equation:
BC^2 = 144 - 25.
BC^2 = 119.
Taking the square root of both sides:
BC = √119.
Therefore, the length of segment BC is approximately equal to √119 units.
Since it's not possible to represent the square root of 119 exactly as a whole number or fraction, we can leave the answer as √119 or approximate it as a decimal. The decimal approximation for √119 is approximately 10.92.
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