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
Learn with an example Tony built a new fence in the yard and decided to paint it red. He started painting it at 12:00 P.M. and finally finished at 1:00 P.M. How long did it take to paint the new fence? hours minutes
Answer:
1 hour
Step-by-step explanation:
if he started at 12 pm, then in 1 hour he would finnish
Can someone please help me solve this
Answer:
all the numbers +
Step-by-step explanation:
HELP SOMEONE!!!!!! PLZZZZ!!!
Find all complex numbers $z$ such that $z^4 = -4.$
Since -4 = 4 exp(iπ), by DeMoivre's theorem and using the fact that cos and sin are both 2π-periodic,
[tex]z^4 = 4 \exp\left(i\pi\right) \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi + 2i\pi k\right)\right)[/tex]
where k = 0, 1, 2, or 3. Then the 4th roots of -4 are
[tex]k = 0 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+0\right)\right) = \sqrt2 \exp\left(i\dfrac\pi4\right)[/tex]
[tex]k = 1 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+2i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{3\pi}4\right)[/tex]
[tex]k = 2 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+4i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{5\pi}4\right)[/tex]
[tex]k = 3 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+6i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{7\pi}4\right)[/tex]
Need help I can’t fail this assignment. Answer asap!
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
6x + 5y = 10
5y = -6x + 10
y = (-6/5)x + 2
so a perpendicular line has slope 5/6
y = (5/6)x + b
plug in our desired point
3 = (5/6)6 + b
b = -2
y = (5/6)x - 2
I might be able to help you pass this assignment, but better learn it yourself as I cannot assure you will pass the class.
One of those "Win the battle but lose the war" type situations.
I actually need help-
Step-by-step explanation:
The answer im just guessing but teachers like to do false false true true so sorry if im wrong
A woman walks x km north, then (x+7) km east. She is now 13km from her starting point. Find x.
write the equation of the line that has a slope of O and passes through the point (6, -8).
Answer:
y=-8
Step-by-step explanation:
y-y1=m(x-x1)
y-(-8)=0(x-6)
y+8=0
y=0-8
y=-8
write 321.51 to the nearest tenths
Step-by-step explanation:
321.5 is the correct answer
The tenths is the number after the decimal points always
EXAMPLES
3.4
4.2
You get the point.
Now to round you look at the second number if it is lower than 5 make it a zero
321.50 is equivalent to 321.5
So that's the answer: 321.5.
(If the thingy is bigger than five make the number left to it increase by one)
(If it's equal to five make the number increase, different places have different rules)
4. Out of the 75 people who baked
Christmas cookies, forty six percent
burned the cookies. How many people
burned their cookies?
Answer:
34.5 people
Step-by-step explanation:
Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.
Answer:
克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何
The average of two numbers is 70. If one of the number is 32, what is the 2nd number?
Answer:
The second number would be 108.
Step-by-step explanation:
Multiply 70 by 2 and subtract 32 from the product.
Multiple 120 by 5.
1) 60, 2) 125, 3) 600, 4) 1205
Answer: the answer is 600 or the letter C
Answer:
3) 600
Step-by-step explanation:
5 x 0 = 05 x 2 = 10 put the 1 from the ten on top of the 1 in 1205 x 1 = 55 + 1 = 6answer 600Write the square root -10 in simplest radical form
Answer:
The square root of 10 is expressed as √10 in the radical form and as (10)½ or (10)0.5 in the exponent form. The square root of 10 rounded up to 10 decimal places is 3.1622776602
Step-by-step explanation:
hope this is correct
What is m<9 = 130 degrees, What is m<4
Answer:
50 degrees
Step-by-step explanation:
They are alternate exterior angles, so they add up to 180 degrees.
What is the slope of the line throught (-9, 6) and (-3, 9)?
Answer:
The slope is 1/2
Step-by-step explanation:
To find slope, use the formula y2-y1/x2-x1
Plug the points in and solve.
9-6/(-3)-(-9)
3/-3+9
3/6
1/2
Answer:
[tex]m=\frac{1}{2}[/tex]
Step-by-step explanation:
Formula:
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Assign the points as [tex]x_1[/tex], [tex]x_2[/tex], and, [tex]y_1[/tex], [tex]y_2[/tex]
[tex](-9 = x_1, 6=y_1) \:\:\:\:(-3=x_2, 9=y_2)[/tex]
Plug these points into the formula; solve
[tex]\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{9-6}{-3-(-9)}\\=\frac{1}{2}[/tex]
[tex]\bold{m=\frac{1}{2}}[/tex]
Therefore, [tex]\frac{1}{2}[/tex] is the slope of the line through [tex](-9, 6)[/tex] and [tex](-3, 9)[/tex].
A square that measures 2 inches by 2 inches.
What is the perimeter of the square?
Answer:
8
Step-by-step explanation:
this is because a square has 4 and one side has a measurement of 2in
so you would and all the sides (2+2+2+2) which will give you an answer of 8
PLS HELP ME WITH THIS GEOMETRY QUESTION :000
Answer:
b. the triangles are congruent by ASA
explanation: you can see that both triangles share the same angles at M and P so they are the first angle then R is the second angle because this is a vertical angle in both triangles then they share a side because of R being the midpoint of PM
help me my due is In 10 minutes. I don’t know
Step-by-step explanation:
You take the first amount ex: 80 then times 0.2 (20%->0.2) and ad the result to 80
If the measure of wyz =27 what is the measure of zyx
Answer:
27
Step-by-step explanation:
compitative property
evaluate 3c + 6y for c=5 and y=6
Answer:
51
Step-by-step explanation:
because 3(5)+6(6)
Answer:
51
Step-by-step explanation:
3c+6y
3(5)+6(6)
15+36
51
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
3. The vertices of a rectangle are R(-5, -5), S(-1,-5), 7(-1, 1), and U(-5, 1). After translation,
R' is the point (-11, -11). Find the translation rule and coordinates of U'.
O(x, y) → (x – 6, y + 6); (-11, 7)
O(x, y) → (x – 6, y - 6); (-11, -5)
(x + 6, y-6); (1, -5)
O(x, y) → (x + 6, y + 6); (1,7)
O(x, y) ☺
U' = x - 6 , y + 6
U' = ( - 5 - 6 ) , ( 1 + 6 )
U' = ( - 11 ) , ( 7 )
U' = - 11 , 7
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths of the missing sides of figure B.
A 4 sided polygon, labeled A, with sides labeled as follows: left, 15, top, 12, right, 18, bottom, 20. A smaller, 4 sided polygon, labeled b, oriented the same way, has left side labeled: 3.
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
How to find Scale Factor?Scale factor = dimension of new figure / dimension of original figure
The polygons given are shown in the diagram attached below.
Figure A is the original figure
Figure B is the new figure.
x, y, and z has been used to mark the missing sides of figure B.
One dimension of original figure = 15
Corresponding dimension of the new figure = 3
Scale factor = new/original = 3/15
Scale factor = 1/5
To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:
x = 12 × 1/5 = 2.4
y = 18 × 1/5 = 3.6
z = 20 × 1/5 = 4
In summary:
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
Learn more about scale factor on:
https://brainly.com/question/2826496
is a persons weight a function of their height why
Answer:
nope
Step-by-step explanation:
it's not because let's say for example we have two students who weigh 130 pounds on of them could just be very wide but the other one could be really tall which results in his weight.
Although in some cases if both people are athletes and you say that they are not wide then it could give you a not exact estimate of how tall he is.
Casey bought 9 tickets to a concert. The total charge was $104, including a $5 service charge. Write an equation you can use to solve to find c, the cost of one ticket.
Answer:
104-5/9
Step-by-step explanation:
just divided ND SUBTRACT
inverse function of y = 3x
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
HELLLPPPPPPP! PLZZZZ DUE TODAYYYY!
Answer:
it is the first one
Step-by-step explanation:
What is the temperature shown on
the thermometer?
A Jeep Grand Cherokee costs about $45,000 right now. What would be the monthly payment if you could get a 60 month loan at 7.5% APR? Can you afford this?
The monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
First, we need to get the amount on the cost of the Jeep at the rate of 7.5% using the formula
Amount = Principal + Interest
Given the following parameters
Interest = PRTR is the rate = 7.5%T is the time in years = 5 yearsGet the interest
Interest = 45,000 * 0.075 * 5 Interest = $16,875Get the amount;
Amount = $45,000 + $16,875Amount = $61,875Calculate the monthly payment:
Monthly payment = Amount/60Monthly payment = $61,875/60Monthly payment = $1,031.25Hence the monthly payment if you could get a 60-month loan at 7.5% APR is $1,031.25
Learn more on compound amount here: https://brainly.com/question/24924853
Use the long division method to find the result when 12x3 + 4x2 - 23x + 10 is
divided by 3x – 2.
-
Refer to attatchment.
Answer:
4x2+4x-5
Step-by-step explanation:
Hopes this helps
Plz markas brainliest