On which interval is y = sin(x) strictly increasing?
(Negative pi, negative StartFraction pi Over 2 EndFraction)
(0, pi)
(StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction)
(0, StartFraction pi Over 2 EndFraction)
Answers
Answer:
The function is strictly increasing on (0, π/2)
Step-by-step explanation:
We are given the function;
y = sin x
Let's find the derivative;
dy/dx = cos x
Now, Cos 0 = 1
Cos (π/4) = 1/√2
Cos (π/2) = 0
From the above, we can see that as x approaches 0 from (π/2), the value of (cos x) approaches 1. This means it's increasing from 0 to 1.
Thus, the function is strictly increasing on the interval (0, π/2)
Answer:
D. (0, pi/2)
Step-by-step explanation:
If you graph y=sin(X) (I used desmos) then you find that the graph is increasing from 0 to pi/2 :)
Related Questions
What the solution for x is in 14+x=3a+ab?
Answers
Answer: a= x+14 /b+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Simplifying
14 + x = 3a + ab
Solving
14 + x = 3a + ab
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + -14 + x = 3a + -14 + ab
Combine like terms: 14 + -14 = 0
0 + x = 3a + -14 + ab
x = 3a + -14 + ab
Reorder the terms:
x = -14 + 3a + ab
Simplifying
x = -14 + 3a + ab
BRAINLIEST PLEASE JELP
What is the slope of a line perpendicular to the given line?
Answers
Answer:
4
Step-by-step explanation:
The perpendicular slope means opposite reciprocal
opposite: 1/4
reciprocal: 4
Answer:
The slope is undefined
Step-by-step explanation:
Rate me please
12(4x -1/4x ) 2 + 5(4x-1/4x) - 2
solve it
Answers
"1.5" was replaced by "(15/10)".
5*(4*x-(15/10)*x)+12-(4*x-2)=0
Simplify 3/2
3
((5 • (4x - (— • x))) + 12) - (4x - 2) = 0
2
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
Adding a whole to a fraction
Rewrite the whole as a fraction using 2 as the denominator
Subtracting a whole from a fraction
Rewrite the whole as a fraction using 2 as the denominator
Pull out like factors :
4x - 2 = 2 • (2x - 1)
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
17x+28
—————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
17x+28 = 0
HELP pleasee and ty to whoever does!!
Answers
26) 50 percent chance
27) 25 percent chance
28) About 25 times
29) About 20 times
After some bad news (due to a revolutionary but ultimately doomed process for making toast in a microwave oven), stock in Seraj Food Industries fell by 40%, to $324 a share. What was the original price of a share? Thank you so much i'll mark brainliest!
Answers
Answer:
Around $650
Step-by-step explanation:
The original price of a share is $540.
Given that, Seraj Food Industries fell by 40%, to $324 a share.
What is the percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
Let the original price of share be x.
x - 40% of x = 324
⇒ x - 40/100 × x = 324
⇒ x - 0.4x = 324
⇒ 0.6x = 324
⇒ x = 324/0.6
⇒ x = 540
Therefore, the original price of a share is $540.
To learn more about the percentage visit:
https://brainly.com/question/24159063.
#SPJ2
If the perimeter of the regular pentagon is 75 cm what is the length of each side
Plz help nowww
If you wanna be crowed a brainliest:-)
Answers
Answer:
15 (mark me brainliest if you want and lmk if you need more help understanding)
Step-by-step explanation:
perimeter is (l*w)*2
if a pentagon is 5 sided, you do 75/5 which is 15.
each side has 15 cm
I need helpppp IDKK
Answers
Answer:
Step-by-step explanation:
Choice
Answer:
Can you award me brainest
excavation scientists excavating a dinosaur mapped the site on a coordinate plane. if one bone lies from (-5,8) to (10,-1) and a second bone lies from (-10,-3) to (-5,-6) are the bones parallel ? explain
Answers
Answer:
Tengoo
Step-by-step explanation:
Miedo
Find the value of x.
81°
39°
X=??
PLEaSE ILL GIVE YOU BRAINLIEST AND 15 POINTS
Answers
Answer:
It's "P"
Step-by-step explanation: Please give me my 15 points
Answer:
X= 60º
Step-by-step explanation:
If you are solving for a ∆, a ∆ has a degree of 180º. This thus when added up gets you.
81º + 39º = 120º
180º - 120º = 60º
Therefore in conclusion, X would be 60º.
f(x) = 3x - 5 and g(x) = 5x + 8. Find 3g(x) - 2f(x).
Answers
Answer:
9x + 34
Step-by-step explanation:
3g(x) - 2f(x); f(x) = 3x - 5 & g(x) = 5x + 8.
3(5x + 8) + - 2(3x - 5) (Plug g(x) & f(x) into equation)
15x + 24 + - 6x + 10 (Use distributive property)
9x + 34 (Combine like terms) - This is as much as it can be simplified.
f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).
Answers
Answer:
(f+g)(x) = 3x - 8 -x -4
(f+g)(x) = 2x-12
(f+g)(5) - substitute 5 into x
(f+g)(5) = 2(5)-12
(f+g)(5) = 10-12
(f+g)(5) = -2
Step-by-step explanation:
school sold 2 adult tickets and 10 child tickets for a total of $56. The school took in $52 on the second
The school that Elisa goes to is selling tickets to a fall musical. On the first day of ticket sales the
second day by selling 4 adult tickets and 5 child tickets. What is the price each of one adult
ticket and one child ticket?
Answers
Answer:
x+y=4+8=12
$12 for one of each
or if you mean indivually (the wording confused me)
$4 for child, $8 for adult
Step-by-step explanation:
x=adult
y=child
2x+10y=56
4x+5y=52
iin order to be able to subtract values and find x and y im going to multiply 4x+5y=52 by two and get 8x+10y=104
8x+10y=104
-2x+10y=56
6x=48 divide each side by 6
x=8
plug 8 back into an equation to find cost of y
2(8)+10y=56
-16 -16
10y=40
y=4
Which number line shows the graph of 0.3
Answers
Answer:
im dumb im sorry but u can look it up
Step-by-step explanation:
can someone help simplify this 6n+5(10n−7)
Answers
Answer:
21n-35
Step-by-step explanation:
6n+5(10n-7)
distribute 5
6n+15n-35
add 6 and 15
21n-35
you cant subtract 21 and -35 because they arent like terms
When I graph the inequality symbol > should it be a open or closed
circle on the number line?
Answers
Answer:
It should be open.
Step-by-step explanation:
Hope this helped!
You bike 11.2 miles in 1.4 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
Answers
Answer:17
Step-by-step explanation:
Answer:
Y=8x
Hope this helped
Step-by-step explanation:
I’m not sure what this one is . Can anyone help
Answers
Answer
Im not that sure i wish i could help
Step-by-step explanation:
have a good rest of ur day :)
Answer:
105
Step-by-step explanation:
A straight line is worth 180 degrees. Therefore, if you subract the given angle (75) from 180 you will get 105.
180-75=105 degrees.
(19 x 10 ^5)- (5 x 10 ^5)
Answers
Answer:
1400000
1.4⋅10^6 for science notation ;)
Answer:
1400000x
Step-by-step explanation:
Polynomial factorization topic toh diba?
Create a one step equation using the numbers 4 and 6. One you create the
equation, solve it and find the solution.
Answers
Answer:
x=1.5
Step-by-step explanation:
4x=6
6/4=1.5
PLease help with this question? I also need an explanation on how you got the answer
Answers
Answer:
25%
Step-by-step explanation:
1. there are 8 triangles
2. 2 twos
3. 2/8
4. 2/8=25%
Answer right with proof please.
Answers
Answer:
the answer is a
Step-by-step explanation:
you times the 1/6 by 2 to get 2/12 then 3/4 by 3 to get 9/12 so all your fractions have the same denominator and the do the rest of the math with the new fractions and the same whole numbers that went with them. hope this helps
Given a 30-60-90 triangle with a hypotenuse of 11 mm solve for the other sides. (Explain)
Answers
Answer:
Need a calculator
Step-by-step explanation:
This will be hard to explain without the ability to draw an example.
The one thing you can memorize is SOH - CAH - TOA
This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).
When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.
So a right triangle has two legs (sides) and the hypotenuse. If you use the first angle ( 30 degrees) you can use the formulas above to calculate the side length.
Pick either the SOH or the CAH. Let's use SOH and write out the equation:
SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)
You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm. You end up with SIN(30 degrees) X 11m = Opposite Side.
So the side directly across from the 30 degree angle should be 5.5mm
You can do the exact same thing with the 60 degree angle.
SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm) OR
SIN(60 degrees) X 11mm = Opposite Side
This comes out to about 9.5mm
You can check the math by using the other equation CAH
Start with the 30 degree angle and solve for the adjacent side. This is the side that is touching the 30 degree angle. Equation will be
COS(30 degrees) X 11mm = Adjacent Side or about 9.5mm
The other equation will give you the side that is touching the 60 degree angle.
COS(60 degrees) X 11mm = Adjacent Side or 5.5mm
You can also use one last thing to check your math. The Pathagorean Theorem says in a right triangle [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.
[tex]5.5^{2}[/tex] + [tex]9.5^{2}[/tex] should equal [tex]11^{2}[/tex]. Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).
Which best explains the relationship between the two triangles below? Triangle D C A. Angle D is 51.2 degrees and angle A is 96.5 degrees. Triangle S R T. Angle S is 32.3 degrees and angle R is 96.5 degrees. Triangle A D C is similar to triangle R T S because Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T. Triangle A D C is similar to triangle R T S because Angle A is similar to angle R, Angle C is similar to angle S, and Angle D is similar to angle T. Triangle A D C is not similar to Triangle R T S because Angle D is not congruent to Angle S. Triangle A D C is not similar to Triangle R T S because C D less than S T, D A less than T R, and C A less than S R.
Answers
Answer:
Answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
i just take the test
PLEASE HELP ME IT'S DUE TODAY IF CORRECT I'LL MAKE BRAINYLIST!!!!
Answers
Answer:
A
Step-by-step explanation:
just add 1 to each side and divide by 2
When finding the product, what is the first step?
(-c)x(-2a)x12b
btw the x's are multiply signs.
Thanks :)
Answers
Answer:
24abc
Step-by-step explanation:
(-c)*(-2a)*12b
Multiply the numbers
-1 * -2 *12 = 24
Multiply the variables
c*a*b = abc
Put it back together
24abc
what is the next 3 terms for (-6,42,-294,2058)
Answers
Answer:
es
Step-by-step explanation:
Answer:
A. 14,406. it runs by a -7 sequence, so D would be the 6th in the sequence.
Step-by-step explanation:
PLEASE HELP ASAP! (picture is attached) You real one if you do
Answers
Answer:
x is equal to 1
Step-by-step explanation:
In an online practice test, Sam got 11 correct answers. However, 3.5 points were deducted for incorrect answers. If he scored 18.5 points in the test, how much did he score for each correct answer?
Answers
write your answer here
Answers
[tex]0.0063 = 63 \times {10}^{ - 4} = 6.3 \times {10}^{ - 3} \\ [/tex]
Done... ♥️♥️♥️♥️♥️
Answer:
what she said ^^ :)
Which of the following ratios is not 4:9
8 : 18
12 : 36
20 : 45
16 : 36
Answers
Answer:
I think 12 : 36 I not so sure though