Answers
Answer:
b) you need one set of | | for the inside of the logarithm only.
c) pi^2 /56
Step-by-step explanation:
For b, you just need | | instead of ( ) for the inside of the natural logarithm part... .
For c...
Integral( arcsin(7/6x)/sqrt(36-49x^2),x=0..6/7).
Lets go ahead and fix up the the denominator so the multipler on x is the same as it is in numerator.
Factor our sqrt(36) on bottom. Note sqrt(36)=6.
1/6Integral(arcsin(7/6x)/sqrt(1-(7x/6)^2),x=0..6/7)
Let 7/6x=sin(v). Then 7/6 dx=cos(v) dv.
If x=0 then we solve 7/6(0)=sin(v) giving us v=0. Note sin(0)=0.
If x=6/7 then we solve 7/6(6/7)=sin(v) giving us v=pi/2. Note sin(pi/2)=1...and I chose this particular value for v so the sine curve didn't have a chance to make a new or start a new cycle.
1/6×6/7Integral(v/sqrt(1-(sinv)^2) cos(v)),v=0..pi/2)
Next step invokes the Pythagorean Identity sin^2(v)+cos^2(v)=1:
1/7Integral(v/cos(v) cos(v), v=0..pi/2)
1/7Integral(v, v=0..pi/2)
1/7(v^2/2, v=0..pi/2)
1/7((pi/2)^2/2-(0)^2/2)
1/7(pi^2/4/2)
1/7(pi^2/8)
pi^2/56
Related Questions
Add the matrices. Help please
Answers
Answer:
D) [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]
Step-by-step explanation:
You basically add the corresponding entries for each row and column:
[tex]\left[\begin{array}{cc}1&-4&3&5\end{array}\right]+\left[\begin{array}{cc}-2&6&-2&4\end{array}\right]=\left[\begin{array}{cc}1+(-2)&-4+6&3+(-2)&5+4\end{array}\right]=\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]
Therefore, option D, [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex], is correct.
Ms. Usman buys about 14.4 gallons of gas every other week. How many gallons of ir gas does she buy in a year?
Answers
Answer:
374.4 gallons
Step-by-step explanation:
there are 52 weeks in a year
every other week means once every two weeks
52 / 2 =26
14.4 gallons x 26 = 374.4 gallons
If you sleep 30% of the day. how many hours did you sleep?
answer fast please
Answers
Answer:
7.2 hours
Step-by-step explanation:
24 · 0.3 = 7.2
What is the answer to y=-2(-3/2)-9
Answers
Answer:
-6
Step-by-step explanation:
y = -2 x -3/2 - 9
3 - 9 = -6
Hey there!
y= -2 (-3/2) - 9
-2(-3/2) = [3]
y = 3 - 9
y = -6
Therefore, your answer is: y = -6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
What is the GCF of 9y and 12y?
Answers
9 - 1,3,9
12 -1,3,4,12
There is a y in both terms.
So, 3y is the greatest common factor.
Solve the equations below exactly. Give your answers in radians, and find all
possible values for t in the interval 0 (less than or equal to ) t (less than or equal to) 2 pi
If there is more than one
answer, enter your solutions in a comma separated list.
(a) sin (t) = - square root of 3 divide by 2
when t=
(b) cos (t) = 1/2
when t=
Answers
Answer:
See below (along with unit circle attached)
Step-by-step explanation:
[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]
[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]
[tex]cos(t)=\frac{1}{2}[/tex]
[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]
It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.
Draw two lines with a slope of 1 / 2. What do you notice about the lines?
Answers
Answer:
The lines would be parallel.
Step-by-step explanation:
lines with the same slope are parallel.
Part 1: Nouns
Directions: Write the plural form of each noun.
1. child
2. friend
3. baby
4. lunch
5. bike
Answers
Children
Friends
Babies
Lunches
Bikes
solve for x??????????
Answers
Answer:
x=4
Step-by-step explanation:
you take both equations, and make them equal to each other. so....
5x-6=3x+2 subtract 3x from both sides
2x-6=2 then add 6 to the other side.
2x=8 then divide 8 by 2.
X=8
Help bell bell help help help
Answers
Answer:
answer is ‐10
Step-by-step explanation:
(x+14) =(5x-74)pick like terms together (x+5x)=(+14‐74)(6x)=(‐60)divide by 6answer is ‐10You bought a magazine for $2 and some erasers for $5 each. You spent a total of $12. How many erasers did you buy?.
Answers
Answer:
2
Step-by-step explanation:
I got it right bro man my guy I got you
Hello, would be very nice if someone could help me ! :)
A finite geometric series is the sum of a sequence of numbers. Take the sequence
1, 2, 4, 8, ..., for example. Notice that each number is twice the value of the
previous number. So, a number in the sequence can be represented by the
function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th
number in the sequence is ∑^5 n-1 2^n-1.
This equation can also be written as S5 = 2^0+2^1+ 2^2+ 2^3+ 2^4. If we multiply this equation by 2. the equation becomes 2(S5) = 2^1+ 2^2+ 2^3+ 2^4+ 2^5
What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the
form ∑^a n-1 b^n-1 ?
Answers
Answer:
Step-by-step explanation:
2S₅ - S₅ = 2⁵ - 2⁰
S₅ = 2⁵ - 1
Sₙ = (bᵃ - 1) / (b - 1)
ms. valdez is preparing dinner for 6 people she bought an 8 pund tukey to rost for dinner and plans to distribute it evenly to each of the 6 people how many pounds of turkey should each person get
a- 1 1/3
b- 1 1/6
c 3/4
1/2
1/4
Answers
Answer:
A
Step-by-step explanation:
8/6 is also 1 1/3.
(assuming she doesn't include herself in the distribution).
A rectangular pool has a length of
4x + 7 feet and a width of 15x - 2 feet. Which
expression represents the perimeter of the
pool?
Answers
ChallengE
See attachment and answer :)
Answers
[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
Answer :[tex]\displaystyle{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}[/tex]
Step-by-step-explanation:
We have given an expression.
We have to simplify the expression.
The given expression is
[tex]\displaystyle{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\sqrt{16\:\times\:3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
We know that,[tex]\displaystyle{\boxed{\pink{\sf\:\sqrt{a\:\times\:b}\:=\:\sqrt{a}\:\times\:\sqrt{b}\:}}\:\cdots\sf\:a\:,\:b\:\geq\:0}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\sqrt{16}\:\times\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:4\:\times\:4\:\sqrt{3}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}}[/tex]
We know that,[tex]\displaystyle{\boxed{\blue{\sf\:\sqrt{\dfrac{a}{b}}\:=\:\dfrac{\sqrt{a}}{\sqrt{b}}\:}}\:\cdots\sf\:b\: > \:0}[/tex]
[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{\sqrt{1}}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:16\:\sqrt{3}\:-\:\dfrac{5}{2}\:\times\:\dfrac{1}{\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{16\:\sqrt{3}\:\times\:2\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{16\:\times\:2\:\sqrt{3}\:\times\:\sqrt{3}\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}} \\ \\\displaystyle{\implies\sf\:\dfrac{32\:\times\:3\:-\:5}{2\:\sqrt{3}}\:+\:6\:\sqrt{3}}[/tex]
[tex]\displaystyle{\implies\sf\:\dfrac{8\:\times\:4\:\times\:3\:-\:5\:+\:(\:6\:\sqrt{3}\:\times\:2\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:6\:\times\:2\:\times\:\sqrt{3}\:\times\:\sqrt{3}\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:(\:12\:\times\:3\:)}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:-\:5\:+\:12\:\times\:3}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{8\:\times\:12\:+\:12\:\times\:3\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:(\:8\:+\:3\:)\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{12\:\times\:11\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{132\:-\:5}{2\:\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}} \\ \\ \\ \displaystyle{\implies\sf\:\dfrac{127}{2\:\sqrt{3}}\:\times\:\dfrac{\sqrt{3}}{\sqrt{3}}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{2\:\times\:3}} \\ \\ \\\displaystyle{\implies\sf\:\dfrac{127\:\sqrt{3}}{6}} \\ \\ \\ \displaystyle{\therefore\:\underline{\boxed{\red{\sf\:4\:\sqrt{48}\:-\:\dfrac{5}{2}\:\sqrt{\dfrac{1}{3}}\:+\:6\:\sqrt{3}\:=\:\dfrac{127\:\sqrt{3}}{6}}}}}[/tex]
please help me on this
Answers
Answer:
10/9
Step-by-step explanation:
Round 4.645 to the nearest whole number! Please explain step by step to get marked
Answers
Step-by-step explanation:
to round 4.645 to the nearest whole number consider the tenths’ value of 4.645, which is 6 and equal or more than 5. Therefore, we have to round up: the whole number part of 4.645, 4, increases by 1 to 5, and the decimal point and all digits (.645) are removed.
4.645 rounded to the nearest whole number = 5
Simplify the ratio:
42 : 28 : 21
Please explain step by step to get marked as brainliest!
Answers
Answer:
6:4:3
Step-by-step explanation:
Use 7 to simplify
Graph the system. Use the graph to approximate
the solution of the equation.
Answers
Answer:
2.09
Step-by-step explanation:
And set them up as a function. We could set y equals to each side of it. So if we set y equals to the left-hand. Side we get Y is equal to three has to the X power.
Answer:
Plot a graph of the function y = log (x) and move it by 1 unit to the left.
Plot the graph of the function y = x ^ 2, reflect over the x-axis, and move it 10 units up.
The coordinates of the intersection of the graphs are the solution.
Solution: x=3
I think this your answer you did not really say your answer?????
I NEED HELP!!
If f(x) = x 3/2 , then f ' (4) =
A. -6
b. -3
c. 3
d. 6
e. 8
Answers
Answer:
f(x)=x(3/2)
f(4)=4*3/2
6
Help please and thanks!
Answers
okay. first you must get the properties of a triangle. all three angles are 180 degrees in total. the angle of a straight line is also 180 degrees. both the triangle and the straight line shares the same angle ACB. so you can conclude that 5x-35 = 2x+58
-2x from both sides and 3x-35= 58
so 3x = 58+ 35= 93
x= 31
ABC = 31x2 = 62
BCA = 180-58-62= 60 degrees
please give me brailiest . thanks!
Answer:
x =31°
ABC is 62°
BCA IS 60°
I HOPE THIS IS HELPING
write a quadratic equation in standard form.
1. -6 and 4 are solutions
2. 2 and 5 are solutions
1 and 2 are two different problems
Answers
Answer:
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
Step-by-step explanation:
If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...
(x -p)(x -q) = x^2 -(p+q) +pq
The x-term coefficient is the opposite of the sum of solutions.
The constant is the product of solutions.
This knowledge lets you write down the standard form equation with no particular effort.
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
PLEASE HELP WILL MARK BRAINLIEST!
Answers
Answer:
Step-by-step explanation:
[tex]12000(1+\frac{.12}{4})^{4*45}=2454040.31463\\=2454040[/tex]
Examine the figure. What is the measure of angle a?
Answers
Answer:
59Step-by-step explanation:
90+31=121
180-121=59
Answer:
a=59
basic fact:
angles on a straight line add up to 180
Step-by-step explanation:
we can ignore b for a start
31+90+a=180
121+a=180
121+59=180
a=59
inverse function of y = 3x
Answers
Answer:
f-1(x) = 1/3x would be the answer
Step-by-step explanation:
Answer:
y= 1/3x
Step-by-step explanation:
inverse function perform the opposite.
3/1 becomes 1/3
Find the least common denominator for these fractions. Enter your answer in
the space provided.
Answers
Answer: 27
Step-by-step explanation: LCM of 3 and 27 is 27.
x+18-3x=20 help me out
Answers
the bbc lenth is 19 which i like in my mouth an deven my throayt
cant seem to figure this out
Answers
Answer:
log14=1.146
log18=1.255
Step-by-step explanation:
Use log rules to break up the given logs, to be able to use the information give
Using the product rule, log14 = log(7 x 2) = log7 + log2
Substitute .845 + .301 = 1.146
Using the quotient rule, log18 = log(2 x 3 x 3) = log2 + log3 + log 3
Substite .301 + .477 + .477 = 1.255
The scale of a blueprint is 3 inches : 10 feet. On the blueprint, a house is 9 inches
a
long. What is the length in feet of the actual house?
Answers
Answer:
30/5=68x6=48 feet
Step-by-step explanation:
divide the demesions
HELP PLS which box has the largest IQR
Answers
Answer:
Box B i think.
Step-by-step explanation: