Use substitution to find Limit of StartStartFraction cosine (StartFraction pi x Over 4 EndFraction) OverOver x + 1 EndEndFraction as x approaches 3.
ANSWER: C
Answers
Answer:
C
Step-by-step explanation:
- square root 2 / 8
[tex]\bold{ \lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1} } = \bold{-\frac{\sqrt{2} }{8} }[/tex] , the correct answer is option (C)
What is limit?"A limit is the value that a function approaches as the input approaches some value."
What is substitution in mathematics?"Substitution is the process of replacing an algebraic letter with its value. "
Given: [tex]\lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1}[/tex]
By substitution the value of limit,
[tex]\lim_{x \to 3} \frac{cos(\frac{\pi x}{4} )}{x+1}[/tex]
= [tex]\frac{cos(\frac{\pi (3)}{4} )}{(3)+1}[/tex]
= [tex]\frac{cos(\frac{3\pi}{4} )}{4}[/tex]
= [tex]\frac{-\frac{1}{\sqrt{2} } }{4}[/tex]
= [tex]-\frac{1}{4\sqrt{2} }[/tex]
= [tex]\bold{-\frac{\sqrt{2}}{8} }[/tex]
Hence, option (C) is the correct answer.
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Related Questions
pleaseee!! ur help means a lot
Answers
Answer:
just use scan your question with camera. the problem is in brainly already. :)
Mr. Crowder wants to get a new fit for class. He finds some Gucci glasses on sale for 20% off. If the glasses originally cost $240, what will the sales price be?
A)$192
B)$48
C)$288
D)$220
Answers
Answer:
A) 192
Step-by-step explanation:
20% = 0.2
240(0.2) = 48
This means $48 will be taken from the original price so:
240 - 48 = 192
Plot the following data points.
1
4
,
3
4
, 1
1
2
, 2 , 2
1
2
, 2
1
2
, 3
1
2
Answers
Answer:
Step-by-step explan4ation:
The data points are plotted on the graph below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
We will assume the data points as,
Sales of a particular product over time.
Year Sales
2015 50
2016 100
2017 150
2118 200
2019 250
2020 300
Now,
We can make ordered pairs as,
(2015, 50), (2016, 100), (2017, 150), (2018, 200), (2019, 250), (2020, 300).
The graph of the data point are given below.
Thus,
The data points are plotted on the graph below.
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The complete question.
Sales of a particular product over time.
Year Sales
2015 50
2016 100
2017 150
2118 200
2019 250
2020 300
Plot the following data points.
2. A bag contains 3 red, 4 white, and 5 blue marbles. Jason begins removing marbles from the bag at
random, one at a time. What is the maximum number of marbles he must remove to be sure that the bag
consist at least 1 marble of each colour?
(a) 1
b) 2
(c) 4
(d) 10
Answers
Answer:
c
the total number of marbles are 12 and there are 3 colours so you divide 12 by 3
help!!
differentiate
[tex] { {e}^{x} }^{2} log_{10}(2x) [/tex]
Answers
Rewrite the function using the change-of-base identity as
[tex]e^{x^2} \log_{10}(2x) = e^{x^2} \dfrac{\ln(2x)}{\ln(10)}[/tex]
Apply the product rule:
[tex]\left(e^{x^2} \log_{10}(2x)\right)' = \left(e^{x^2}\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \left(\dfrac{\ln(2x)}{\ln(10)}\right)'[/tex]
Use the chain rule:
[tex]\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(x^2\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac{(2x)'}{2\ln(10)x}[/tex]
Compute the remaining derivatives:
[tex]\left(e^{x^2} \log_{10}(2x)\right)' = 2xe^{x^2} \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac2{2\ln(10)x} = e^{x^2}\left(\dfrac{2x\ln(2x)}{\ln(10)} + \dfrac1{\ln(10)x}\right)[/tex]
If you like, you can convert back to base-10 logarithms:
ln(2x) / ln(10) = log₁₀(2x)
1 / ln(10) = ln(e) / ln(10) = log₁₀(e)
Then
[tex]\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(2x\log_{10}(2x)+\frac{\log_{10}(e)}x\right)[/tex]
The graph shows the distance in miles, d, a car travels in hours. Explain why the graph does or does not represent a proportional relationship between the variables d and t.
Answers
Answer:
The graph shows a proportional relationship because t=50, and that pattern follows.
Step-by-step explanation:
The graph shows a proportional relationship because t=50, and that pattern follows.
The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
What is the speed of a body?The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.
The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, considering it for the car,
[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]
In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.
It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.
Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
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Please help!
How much wrapping paper would you need to cover a rectangular box that is 6 inches by 8 inches by 3.5 inches?
Answers
Answer: 192 inches^2
Step-by-step explanation:
Basically what they want you to find is surface area which is adding the area of all the sides.
6*3.5*2+8*3.5*2+6*8*2=SA
42+56+96=SA
SA= 192 inches^2
FIND THE CIRCUMFERENCE OF CIRCLE A! (no outside links or ill report you)
Answers
The answer is 131.88
Step-by-step explanation:
because circumference is radius times 2 times pi (aka 3.14) so you do 21 times 2 = 42 times pi which is 131.88
List the steps that you will do in order to solve for 39 ÷ (12 + 1)− 2 × (4 + 15).
Answers
Answer: -35
1. Simplify 12 + 1 to 13.
39 divided by 13 - 2 (4 + 15)
2. Simplify 4 + 15 to 19.
39 divided by 13 - 2 • 19
3. Simplify 39 divided by 13 to 3.
3 - 2 • 19
4. Simplify 2 • 19 to 38.
3 - 38
5. Simplify.
-35
9514 1404 393
Answer:
simplify parenthesesdivide 39/13multiply 2(19)subtract 3-38Step-by-step explanation:
The order of operations tells you to evaluate parentheses first.
Step 1: simplify (12+1) and (4+15)
39÷13 -2×19
Then it tells you to do multiplication and division, left to right.
Step 2: divide 39÷13
3 -2×19
Step 3: multiply 2×19
3 -38
Finally, addition and subtraction are done, left to right.
Step 4: subtract 38 from 3
-35
What is the choice to this picture?
Answers
Answer:
4th option
Step-by-step explanation:
The points R', S', T', U' are obtained by a reflection in the line y = - 3
This is a horizontal line passing through all points with a y- coordinate of - 3
RSTU and R'S'T'U' are equidistant from this line
Find the area of the following figure. Assume that all lines that appear to be parallel are parallel. Round to the nearest tenth if necessary.
Answers
Answer:
466in³
Step-by-step explanation:
Cut the figure in to two rectangles and one triangle. Draw an imaginary line like I did in the photo. Then solve the area of each one. First to solve the area of a, or the largest rectangle, multiply 29 by 10. You will get 290. Next, solve the area of b, or the small rectangle. Multiply 7 by 16, and you will get 112. Then, solve the area of the triangle. To get the length of the base of the triangle, subtract 10 and 7 from 25. The base length is 8. Solve the area of the triangle by multiplying 8 by 16 and then dividing by two. The area is 64. Finally, add all the areas. 290+112+64= 466. The area of the figure is 466in³.
Figure A ~ Figure B
Find the volume of figure A
Answers
Answer:
Step-by-step explanation:
The value of a figure dependents from the value of "π"
So, it can be 1374.45 ft³ or 1375 ft³
✏--------------
[tex]Given:- \\\\R_15~ft\\\\R_2=2\\\\v=88[/tex]
[tex]\frac{R_1}{R_2} =\frac{5}{2}[/tex]
[tex]\frac{(R_1)^3}{(R_2)^3} =\frac{v_1}{v_2}[/tex]
[tex]\frac{5^3}{2^3} =\frac{v_1}{88}[/tex]
[tex]8v_1=11,000[/tex]
[tex]v_1=1375ft^3[/tex]
✂ -----------------hope it helps...
have a great day!!
Quadrilateral:
Could it be:
Rectangle
Rhombus
Square
Parallelogram
Or none?
Answers
Answer:
I think they are all Quadrilateral since they all have 4sides
HELPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
13 - 20
Step-by-step explanation:
That is definitely correct
How do you solve this help
Answers
Answer:
y= -2x +3
Step-by-step explanation:
Name the relationship Someone please help I really need help! (NO LYING ) (NO LINKS)
Answers
Answer:
dude what relationship?
we don't see anything u need to give us clues for something
Answer:
Answer is 2 s
Step-by-step explanation:
You're the bus driver the bus driver pick up 50 kids and then drops off 25 how old is the bus driver???
Answers
Answer:
25
Step-by-step explanation:
25
Well the amount of kids on the bus is 25 left but I don't know how old the buss drivers is
HELP PLEASE NO RANDOM ANSWERS
Answers
Answer:
1. Answer is 162 2. Answer is 159.2
Step-by-step explanation:
In the first one we calculate both triangles by using and multiply it by 2 since we have 2 triangles
then we calculate the rectangle
and then we put them all together and get the answer which is 162.
in the second one we calculate the trapezoid then rhombus, then we put them together and get our answer which is 159.2
Which choice is equivalent to the fraction below?
2/5
A. 2.5
B. 5 divided 2
C. 2 divided 5
D. 2-5
Answers
EXPLANATION:
The / or the fraction sign in 2/5 represents division
so just replace the / with a division sign
and get
2 divided by 5.
Which expression is equivalent to 16x^4 - 64?
(4x^2 - 8)^2
(8x^2 - 32)^2
(4x^2 + 8)(4x^2 - 8)
(8x^2+32)(8x^2-32)
Answers
Answer:
3237342324=4234463284324234324-34234327432423423+2343242879485326556252434=7
Step-by-step explanation:
Jose is going to use a random number generator 500 times. Each time he uses it, he will get a 1,2,3, or 4.
Complete the following statement with the best prediction.
Jose will get something other than a 2.
A
Exactly 250 times
(Choice B)
B
Close to 250 times but probably not exactly 250 times
(Choice C)
C
Exactly 375 times
(Choice D)
D
Close to 375 times but probably not exactly 375 times
Answers
Answer:
The answer is close to 375 time but not exactly 375 times
Step-by-step explanation:
I put this is the Khan Academy test and this one was the right one
Journal entries to record cash dividends are made on the:
A. Record date and payment date.
B. Declaration date, record date, and payment date.
C. Declaration date and record date.
D. Declaration date and payment date.
Answers
Journal entries to record cash dividends are made on the:
D: Declaration date and payment date.
The ratio of dividends relative to the net income that is earned during a period of time is referred to as dividend payout ratio.
These dividends are defined as cash payments made to the stockholders out of the profits generated during that same period.
The higher the payout ratio, the lower are the earnings retained by the company and the lower the payout ratio, the higher the earnings retained by the company.
Now, when entering these cash dividends into a journal, the date of declaration of the dividends and the date of payment must be recorded.
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Answer:
Journal entries to record cash dividends are made on the:
D: Declaration date and payment date.
The ratio of dividends relative to the net income that is earned during a period of time is referred to as dividend payout ratio.
These dividends are defined as cash payments made to the stockholders out of the profits generated during that same period.
The higher the payout ratio, the lower are the earnings retained by the company and the lower the payout ratio, the higher the earnings retained by the company.
Now, when entering these cash dividends into a journal, the date of declaration of the dividends and the date of payment must be recorded.
Read more at; brainly.com/question/16102531
Step-by-step explanation:
The distance between Daytona Beach and Tallahassee is about 143,000 m. How many kilometers is this?
Answers
Answer:
There are 212.89 miles from Tallahassee to Daytona Beach in southeast direction and 251 miles (403.95 kilometers) .
4) If the area of a triangle is
72 square feet and the base is 12 feet, what is the height?
Help ASAP
Answers
Answer:
The height is 12 feet.
Step-by-step explanation:
The formula for area of a triangle is 1/2 ⋅ b (base) ⋅ h (height).
Now let's plug in the numbers.
According to the word problem, the base is 12 feet.
As of now, our equation is: 1/2 ⋅ 12 ⋅ h
The only number times 1/2 that would give you an answer of 72 is 144.
12⋅12 = 144.
This means the height is 12.
And, 1/2 ⋅ 12 ⋅ 12 ⋅ = 72.
Because the area of the triangle is 72, 72 is the number we are looking for.
Therefore, the height is 12.
I really hope this made sense, it was a bit rushed.
Enter the ratio equivalent to sin (Y).
Answers
9514 1404 393
Answer:
5/13
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relation ...
Sin = Opposite/Hypotenuse
The side opposite Y is the one that does not have Y in its name: XZ. The hypotenuse is the longest side: YX. Then your ratio is ...
sin(Y) = XZ/YX
sin(Y) = 5/13
Helpppppp me confused
Answers
Answer:
A = 4.5
B = 40.5
C = 4π or 12.566
D = 16
Step-by-step explanation:
A
6 x .5 = 3
3 x .5 = 1.5
1.5 x 3 = 4.5
B
12 x 3/4 = 9
1/2 (9)(9) = 40.5
C
8 x .25 = 2
π2² = 4π or 12.566
D
24 x 1/3 = 8
6 x 1/3 = 2
2 x 8 = 16
HELP NOW QUICKKK PLZZZZ ITS TIMED WILL GIVE BRAINLYIST
Answers
Answer:
480. Since each one is 120 and there are 4 of them then its 120*4
Step-by-step explanation:
The product of two consecutive even integers is 48. Find the integers
Answers
Answer:
The two consecutive integers are 6 and 8 or -8 and -6.
Step-by-step explanation:
The product of two consecutive even integers is 48, and we want to find the two integers.
We will let x represent the first even integer.
Then the consecutive even integer will be (x + 2).
Its product is 48. Therefore:
[tex]x(x+2)=48[/tex]
Solve for x. Since this is a quadratic, we should get one side to equal to 0. Expand:
[tex]x^2+2x=48[/tex]
Subtract 48 from both sides:
[tex]x^2+2x-48=0[/tex]
Factor:
[tex](x+8)(x-6)=0[/tex]
Zero Product Property:
[tex]x+8=0\text{ or } x-6=0[/tex]
Solve for each case:
[tex]x=-8\text{ or } x=6[/tex]
Therefore, our two consecutive integers are 6 and 8 or -8 and -6.
Can anyone help me with this
Answers
1/2 * 6/19
3/19
What is 5% as a fraction?
Answers
Answer:
The answer would be 5/100 or 1/20 in it's simplest form
Step-by-step explanation:
So let's say you have only 5% of a pie and the rest of your family gets the rest, if you put that in a form of a fraction, the answer would be 5 over 100 (5/100). But if you simplify, the answer would be 1/20 since 5 goes into 5 once and 20 goes into 100 5 times.
Ignore the messy writing, i was in a hurry.