Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Answer:
2cos2x
Step-by-step explanation:
Using the Chain rule
[tex]\frac{d}{dx}[/tex] (sin2x)
= cos2x × [tex]\frac{d}{dx}[/tex] (2x)
= cos2x × 2
= 2cos2x
Kelly had one liter of soda she divided equally into 10 classes to share with her friends how much total did each friend get.: 1 Deciliter, 1 centiliter, or 1 milliliter???
Answer:
1 decilitre
Step-by-step explanation:
You can look up charts for these. Look up litre chart
Solve for X
(10x - 1)=(14x - 37)
(make them equal to each other)
10x-1 = 14x-37
(combine like terms)
-4x = -36
(divide by -4)
x=9
Hope this helps! Have a good day/night!
if x is a factor of y and y is a factor z, then x is a factor of z. true or false
Answer:
True; this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].
Step-by-step explanation:
"[tex]x[/tex] is a factor of [tex]y[/tex]" means that there is a whole number [tex]p[/tex] such that [tex]x\, p = y[/tex].
Likewise, [tex]y[/tex] is a factor of [tex]z[/tex] if and only if there is a whole number [tex]q[/tex] such that [tex]y\, q = z[/tex].
This [tex]x[/tex] would be a factor of [tex]z[/tex] if there is some whole number [tex]r[/tex] such that [tex]x\, r = z[/tex].
The first equality [tex]x\, p = y[/tex] implies that [tex]y[/tex] may be substituted with [tex]x\, p[/tex].
Substitute the [tex]y[/tex] in the second equality [tex]y\, q = z[/tex] with [tex](x\, p)[/tex] to obtain:
[tex](x\, p)\, q = z[/tex].
Rearrange to obtain:
[tex]x\, (p\, q) = z[/tex].
The product of two whole numbers is still a whole number. Since [tex]p[/tex] and [tex]q[/tex] are both whole numbers, [tex]p\, q[/tex] would also be a whole number.
Thus, if [tex]r = p\, q[/tex], then [tex]x\, r = x\, (p\, q) = z[/tex], while [tex]r[/tex] would be a whole number.
Therefore, this [tex]x[/tex] would indeed be a factor of [tex]z[/tex].
In your own words, describe how to find the GCF for a set of numbers. Use the numbers 24 and 32 as an example. (PLS HELP ILL GIVE 50 points and brainlest also no links please, thanks)
Answer:
8
Step-by-step explanation:
We can find GCF by prime factorising
24 = 2³ × 3
32 = 2⁵
Common factor = 2³ = 8
Hence,
GCF of 24 and 32 is 8.
Hope it helps
through: (3, 5), slope = 5/3
Explain please
Step-by-step explanation how to get answer:
Slope is Rise over Run
Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.
For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.
A cone has a height of 15 millimeters and a radius of 15 millimeters. What is its volume?
Use a 3.14 and round your answer to the nearest hundredth,
Answer:
10,597.50 cubic mm
Step-by-step explanation:
V(cone) = [3.14(h)(r²)] ÷ 3
= 3.14(15)(15²) ÷ 3
= 10,597.5
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answer:
x > -1
Step-by-step explanation:
Add 9 to both sides of the inequality.
-10 +9 < x -9 +9
-1 < x
In the form of the answers, ...
x > -1
The solution for the given inequality is x > -1. The correct option is the last option x > -1
Linear inequalitiesFrom the question, we are to determine the solution for the given inequality
The given inequality is -10 < x - 9
To solve an inequality, we will solve for the variable. The variable here is x
The inequality can be solved as follows
-10 < x - 9
Add 9 to both sides
-10 +9 < x - 9 + 9
Simplifying
-1 < x
Now, if -1 < x
Then,
x > -1
Hence, the solution for the given inequality is x > -1. The correct option is the last option x > -1
Learn more on solving Linear inequalities here: https://brainly.com/question/246993
express the following ratio in the simplest form 7.2m to 24cm
Answer:
Our simplified ratio is 3:10.
Step-by-step explanation:
We are given this ratio:
7.2:24We can tell that 7.2:24 = 7.2/24. Now, let's simplify.
=> 7.2/24 = 6/20=> 6/20 = 3/10Our simplified fraction is 3/10. Now, let's turn it back to ratio form.
=> 3/10 = 3:10Conclusion:
Therefore, our simplified ratio is 3:10.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Any two figures in a plane can be proven congruent by:
A. the fact that they are the same shape.
B. the fact that all of their angles are the same measurement.
C. a series of rigid motions that takes one figure to the other.
D. having at least three corresponding parts.
Answer:
A.
Step-by-step explanation:
Definition:
GEOMETRY
(of figures) identical in form; coinciding exactly when superimposed.
solve the algebraic equation below
(9x2x2+6x+5)+(3x2-5x-9)
Answer:
x+38
Step-by-step explanation:
ok so try to understand my explaination!
it goes by simplifying one by one :)
(18*2+6x+5)+(3*2-5x-9)
(41+6x)+(-3-5x)
41+6x-3-5x
41-3=38
6x-5x=(1)x
x+38
try to understand, im not amazing at explaining :)
Mr. Green orders some cookies from a local youth group. Using his order form shown below, complete the last column to find the total to be paid. Quantity Description Unit Price Total of Line 1 Krispy Kosmos $2.89 $ 2 Chewy Chocos $3.19 $ 1 Gooey Globs 2.99 $ Total $ 5.2% tax $ Total to be paid $ a. $9.54 b. $12.26 c. $12.90 d. $18.64 Please select the best answer from the choices provided A B C D
From the computation done, it can be denoted that the total price that will be paid will be $12.90.
1 Krispy Kosmos at $2.89 = $2.89
2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38
1 Gooey Globs at $2.99 = $2.99
Total = $2.89 + $6.38 + $2.99 = $12.26
We'll then add the sales tax of 5.2%, therefore, the total value will be:
= $12.26 + (5.2% × $12.26)
= $12.26 + $0.638
= $12.90
In conclusion, the correct option is $12.90.
Learn more about prices on:
https://brainly.com/question/1293276
Answer:
C
Step-by-step explanation:
Edg 2022
The ratio of three numbers is 4 : 1 : 7. The sum of the numbers is 24. What are the three numbers?
Answer:
8, 2, 14
Step-by-step explanation:
sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then
24 ÷ 12 = 2 ← value of 1 part of the ratio, then
4 parts = 4 × 2 = 8
7 parts = 7 × 2 = 14
The 3 numbers are 8, 2, 14
Jada types 120 words per minute how many words does jada type in 1.5 minutes
Answer:
180
Step-by-step explanation:
May I please receive help?
Answer:
(32)2
1024
(28) 2
784
1024-784= 240
I think nearest 10 can 256 or 225 then find square
Luke cut down a tree that was 27.6 feet tall. Then he cut the tree into 6 equal pieces to take it away. What is the length of each piece?
Answer:
4.6 feet (explanation of division)
Answer:
The length of each piece is 4.6 feet
Step-by-step explanation:
HELP WITH THESE 3 QUESTIONS (BRIANLIEST AND 50 POINTS) hint: question 1 is answered (NO LINKS)
Amos scored 100 points while playing 3 rounds of a game.
Round 1 : 30 points
Round 2 : 25 points
Round 3 : ?
How many points did he score in round 3?
Complete the steps to solve the problem
1. What do you need to solve for in this problem? Choose a variable to represent this unknown value. answer: Round 3 = x
x + 30 + 25 = 100
2. Using the variable you chose, write an equation to represent this situation. (Hint: You may want to put the number of points in each round on one side and the total number of points on the other.
3. Solve this equation to find how many points Amos scored in round 3. Show your work.
Answer:
45 points in round 3
Step-by-step explanation:
x + 30 + 25 = 100
combine like terms
30+25 = 55
x + 55 = 100
- 55 - 55
--------------------
x = 45
therefore, Amos scored 45 points in round 3
hope this helps! :D
have a MIRACULOUS day, and brainliest is immensely appreciated!! <3
Answer:
x = 45 points
Round 3 : 45 points
Step-by-step explanation:
Starting Information:
100 points = 3 rounds
Round 1 : 30 points
Round 2 : 25 points
Round 3 : x
Subtraction:
To find x we need to subtract 30 and 25 from 100
100 - 25 - 30 = x points
Combine -30 and -25 into -55
100 - 55 = x
100 - 55 = 45
In round 3 he scored 45 points
Addition:
To find x we need to add 30 + 25 + x and get a sum of 100
25 + 30 + x = 100
Combine 25 and 30
55 + x = 100
Subtract 55 from each side
x = 45
Here are the 2 expressions I used:
25 + 30 + x = 100
100 - 25 - 30 = x
Note:
My work is not number assigned but hopefully you can understand it :)
Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180
Answer:
x + 49 + 28 = 180
Step-by-step explanation:
The angle adjacent to x on the left is vertically opposite 49° and is congruent.
The 3 angles then lie on a straight line and sum to 180° , that is
x + 49 + 28 = 180
Please help!!! No links!!! Solve the system of equations below by graphing both equations with pencil and paper! What is the solution?? Use the photo below!!!
What equation can be written for this graph?
Pls help!!!
Answer:
y = 25x
Step-by-step explanation:
This is a straight line, so the formula is:
y = ax + b
a is the slope and b is the y-intercept.
Slope formula:
a = (y2 - y1)/(x2 - x1)
Select two random points from the line:
Point 1: x=2 and y=50Point 2: x=4 and y=100Slope a = (100 - 50)/(4 - 2) = 50/2 = 25
=> y = 25x + b
Use one of the points to find b:
50 = 25*2 + b
=> b= 0
So the equation is y=25x
1 3/8+3 1/3 please
Answer
Answer:
4 17/24
Step-by-step explanation:
3/8=9/24
1/3=8/24
8+9=17
sorry first know it had to be a fraction so I'm pretty sure this is what you are looking for 113/24.
Step-by-step explanation:
this is the right answer please mark me as Brainliest
hope this helps
question in the picture, please answer!! 50 points!
Answer:
First of all its 25 points. Second of all the answer is B.
Step-by-step explanation:
Consider the relation {(1,3), (2,5), (-6,-3), (0,0)}. What is the range of the relation?
Answer:
the domain is:
{
−
3
,
0
,
1
,
6
}
the range is:
{
2
,
3
,
4
,
−
6
,
4
}
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation:
{
(
−
3
,
2
)
,
(
0
,
3
)
,
(
1
,
4
)
,
(
1
,
−
6
)
,
(
6
,
4
)
}
:
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is:
{
−
3
,
0
,
1
,
6
}
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is:
{
2
,
3
,
4
,
−
6
,
4
}
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Answer:
the domain is: { − 3 , 0 , 1 , 6 }
the range is: { 2 , 3 , 4 , − 6, 4 }
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation: { ( − 3, 2) , ( 0 , 3 ) , ( 1 , 4 ) , ( 1 , −6 ) , ( 6 , 4 ) } :
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is: {− 3 , 0 , 1 , 6 }
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is: { 2 , 3 , 4 , − 6, 4 }
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Have a good day/night!
if I was 14 in 1947 then how old am I?
What is the unit rate of scoops of high-protein food to scoops of high-fiber food if the food is made up of 80% high-fiber chimp food to 20% high-
protein food?
(answer in fraction)
Answer:
10. 31.14
10/31+14
Step-by-step explanation:
Find the circumference of a circle with a radius of 2.4 m
Answer:
here,
circumference of circle (c)=2πr
=2×22÷7×2.4
15.0857143.
Write from least to greatest
Answer:
-9.5, -9, -8.5, -4, -2.5, 0, 7.7, 8
Step-by-step explanation:
hopes this helps <3
45
23
+(−
45
23
)
GOAL: Your goal is to create a collage out of real life scenario that involves one of the different kinds of variation. Create a collage showing how variation can be applied in the current situation in the world right now. ROLE: Artist AUDIENCE: Art Enthusiast SITUATION: You have participated in a contest and must make an artwork with a theme: “MATH IN THE NEW NORMAL: ADOPTING, CONNECTING AND ENJOYING”. As an aspiring artist you are going to show people how variation is important in real life. PRODUCT: Collage with problems and solution involving variation STANDARD FOR ASSESSMENT: Clarity, Accuracy and Creativity
Answer: How is this math
Step-by-step explanation: What can I help you with? I’m not sure what you’re asking
When a number is added to of itself, the result is 24. The equation that models this problem is n +
n = 24.
7
What is the value n?
n = 18
On = 20
0 n=218
O n=23
Answer:
n = 20
Step-by-step explanation:
n + 1/5 n = 24
n + n/5 = 24
LCM = 5
5n/5 + n/5 = 24
( 5n + n )/5 = 24
5n + n = 5 x 24
6n = 120
n = 120 / 6
n = 20
What is the equation of the line that passes
through the points (3,-1) and (7, 3)?
Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
