Step-by-step explanation:
In Mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the first prime number, 2. The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime.This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime.
Over the interval [0, 2), what are the solutions to sin(2x) = 2cos(x)? Check all that apply,
Answer:
pi/2 and 3pi/2
Step-by-step explanation:
on edge
The required solutions to sin(2x) = 2cos(x) are the following as : [tex]\:x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The equation of trigonometry functions is given in the question:
sin(2x) = 2cos(x)
We have to determine the solution to the given trigonometry equation
As per the question, we have
⇒ sin(2x) = 2cos(x)
Rewrite the above trigonometry equation,
⇒ sin(2x) - 2cos(x) = 0
⇒ 2sin(x)cos(x) - 2cos(x) = 0
Common factor out from the equation,
⇒ 2cos(x)[sin(x) - 1] = 0
Solving each part separately
2cos(x) = 0 and sin(x) - 1 = 0
cos(x) = 0 and sin(x) = 1
[tex]\:x=\frac{\pi }{2}+2\pi n, and \:x=\frac{3\pi }{2}+2\pi n[/tex].
Thus, the required solutions to sin(2x) = 2cos(x) are the following: [tex]\:x=\frac{\pi }{2}+2\pi n,\:x=\frac{3\pi }{2}+2\pi n[/tex].
Learn more about Trigonometric functions here:
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Trapezoid ABCD is similar to trapezoid EFGH which OF THE FOLLOWING PROPORTIONS MUST BE TRUE ?
) B. Communicate Precisely LaTanya wants to place
a lamp halfway between the chairs at points C
and D. How can you find the point where the
lamp should go?
C
Hi, you've asked an incomplete question. I attached the missing caption that completes the question.
Explanation:
By looking closely at the caption we notice there are measuring coordinates along the margin of the caption. To find the middle of the chairs, take note of the total coordinate distances between points C and D;
For the vertical axis, the distance is 4For the horizontal axis, the distance is 2Substracting both differences in distances we get 2 (4-2) so at point (10, 7) we find the middle or halfway between the chairs at points C and D.
Express in p/q form 0.125125125
Answer:
Step-by-step explanation:
Solution
0.125125125
Cut . Thus after cut . Count numbers then we get there is 9 numbers so divide it in form of 0 like
Thus after cutting . we get
125125125
___________
1000000000
It is in p/q form
Answer:
[tex]\frac{125}{999}[/tex]
Step-by-step explanation:
Create 2 equations with the repeating numbers 125 placed after the decimal point.
let x = 0.125125125 → (1) ← multiply both sides by 1000 )
1000x = 125.125125125 → (2)
Subtract (1) from (2), thus eliminating the repeating decimal
999x = 125 ( divide both sides by 999 )
x = [tex]\frac{125}{999}[/tex] ← in the form [tex]\frac{p}{q}[/tex]
The temperature was 12°C before the storm. During the storm, the temperature dropped 19°C. What was the temperature at the end of the storm?
Answer:
-7 degrees celsius
Step-by-step explanation:
12-19=-7
Answer:
-7
Step-by-step explanation:
12 - 19 = -7
How much is 50 dollars
Answer:
50 dollars
Step-by-step explanation:
B
Find the perimeter of the triangle.
A)
20
B)
151
Eliminate
12 + 174
12 + VAT
HELPP PLEASE
Answer:
B
Step-by-step explanation:
I just need a walkthrough or step by step process on how to get it so i can understand :)
Answer:
The answer and explanation is located in the screenshot.
Step-by-step explanation:
Hope this helped! And have a wonderful day!
Rewrite the following expression using the distributive property: 12x + 20
Answer: 4(3x +5) or 2(6x +20)
Step-by-step explanation:
Question 2 options: It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma
Answer:
(That is, find P(X≥5)) (keep 4 decimal places)
Step-by-step explanation:
JUST TRUST ME
Help please as soon as possible :)))
Answer:
24m 10+3+3+2+6
Step-by-step explanation:
Answer:
i believe its 24m surface area
Step-by-step explanation:
sorry if wrong
PLEASE, I NEED HELP FAST!
n²-4-n-2 is equal to
A) (n-2)n
B) (n-2)(n+1)
C) (n+2)(n-3)
D) (n+2)n
And please write good explanation, not only the answer. Thank you!
How many 5-digit positive integers are there all of whose digits are even?
a) 500
b)2500
c)3125
d)12500
e) 45000
Answer:
45,000
Step-by-step explanation: There are 45,000 5 digit positive integers whose didgit-sum is odd.
Which like is the Skew to RQ. (hint not MN)
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 2/3 and y-intercept at (0,-2)?
O A. y = 2/3 x - 2
O B. y = -2/3x + 2
O c. y = -2x - 2/3
O D. y = -2/3 = x - 2
Step-by-step explanation:
A,
because we can use the formula y=mx+c
In the diagram find m angle BAC
Answer:
I'm thinking b not 100 percent sure
Answer:
The answer is B) 122 degrees
GIVING BRAINLIEST FOR WHO ANSWERS FIRST.
Answer:
Option D: 66 degrees
Step-by-step explanation:
Interior angles of a triangle add up to 180 degrees.
Thus, 90+24+x=180 would be the equation you make to solve:
90+24+x=180
114+x=180
x=66
So <x=66 degrees
In physics, the current (I), potential difference (V), and resistance ® of an electrical circuit are known to stand in the following relation. i=V/R Which of the following is the same equation solved for V?A. V=IR B. V= I(1-R) C. V=I/R D.V=R/I
Answer:
Step-by-step explanation:
The current that flows through most substances is directly proportional to the voltage V applied to it. The German physicist Georg Simon Ohm (1787–1854) was the first to demonstrate experimentally that the current in a metal wire is directly proportional to the voltage applied: I∝V I ∝ V .
what is the value of x in 6x=54
Answer:
x=9
Step-by-step explanation:
6(9)=54
At a rap concert, the ratio of the number of boys to the number of girls is 9: 5. If there
are 320 more boys than girls, how many boys and how many girls are at the concert?
Answer:
177.78
Step-by-step: Let's solve your equation step-by-step.
9
5
=
320
x
Step 1: Cross-multiply.
9
5
=
320
x
9*x=(320)*(5)
9x=1600
Step 2: Divide both sides by 9.
9x
9
=
1600
divided by 9 which will give you 177.78
solve this mathematical problem
20W!4X 10w! 2=?
Answer:
this is just simplified
800w!^2
-3x=2x+19 solve pls
Answer:
-19/5
Step-by-step explanation:
2x+3x+19=0
5x=-19
x=-19/5
What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negativeWhat is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive Negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative Negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative
Answer:
The sign is positive.
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
Therefore, the sign of the answer is positive.
Hope this helped!
Answer:
The sign is postive
Step-by-step explanation:
(-5)(-3)
= 15 (double negative)
15(-8)
=-120 (positive negative)
(-120)(-6)
= 720 (negative negative)
-9x - 5y = 26
4x -4y = -24
Answer:
(-4, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
-9x - 5y = 26
4x - 4y = -24
Step 2: Rewrite systems
4x - 4y = -24
Add 4y to both sides: 4x = 4y - 24Divide 4 on both sides: x = y - 6Step 3: Redefine systems
-9x - 5y = 26
x = y - 6
Step 4: Solve for y
Substitution
Substitute in x: -9(y - 6) - 5y = 26Distribute -9: -9y + 54 - 5y = 26Combine like terms: -14y + 54 = 26Isolate y term: -14y = -28Isolate y: y = 2Step 5: Solve for x
Define original equation: 4x - 4y = -24Substitute in y: 4x - 4(2) = -24Multiply: 4x - 8 = -24Add 8 to both sides: 4x = -16Divide 4 on both sides: x = -4Step 6: Graph
Check the solution set.
Each bottle of perfume contains 2.1 fluid ounces of perfume. The store sells 30 bottles. How many fluid ounces of perfume did the store sell in total
Answer:
63
Step-by-step explanation:
Answer:
Step-by-step explanation:so did u pass the edulastic test
PLEASE HELP We have a line 3x+5y=20 what is the slope of the perpendicular line to this line
Answer: The slope is 3/5x
Step-by-step explanation:
Rewrite it
5y = -3x + 20
Divide by 5
y = -3/5x + 4
turn the slope into a positive
y = 3/5x
For the formula x = 3y - z, what is the value of x when y = 4 and z = 1?
Answer:
here, x=3y-z then,
(substitute value of y and z)
x=3×4-1
=12-1
x=11ans
Justin wants to buy a new pair of Jean's. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will just have to pay for the jeans?
Answer:oyoyoyohkyhiibjgi
Step-by-step explanation:
ykhitrjhithihtrnht
8. The number of dandelions growing on your lawn triples every 3 days. If your lawn started out
with 15 dandelions, how many dandelions would you have after 3 weeks?
Answer:
There will be 32805 dandelions after 3 weeks
Step-by-step explanation:
To determine number of dandelions after 3 weeks
1 week = 7 days
∴ 3 weeks = 3 × 7 days = 21 days
Hence, we will determine the number of dandelions after 21 days.
From the question,
The number of dandelions growing on the lawn triples every 3 days and if the lawn started out with 15 dandelions,
Then, After 3 days, there will be 3 × 15 dandelions = 45 dandelions
After 6 days, there will be 3 × 45 dandelions = 135 dandelions
After 9 days, there will be 3 × 135 dandelions = 405 dandelions
After 12 days, there will be 3 × 405 dandelions = 1215 dandelions
After 15 days, there will be 3 × 1215 dandelions = 3645 dandelions
After 18 days, there will be 3 × 3645 dandelions = 10935 dandelions
After 21 days, there will be 3 × 10935 dandelions = 32805 dandelions
Hence, there will be 32805 dandelions after 3 weeks.
best answer get brainly
Farrell football team has a total 30 uniform shirts.20% of the uniforms are medium-sized how many uniforms are medium?
Answer:
I would believe that it would be close 7 whatever is closest to seven bro
Answer:
12
Step-by-step explanation:
20%=2/5
2/5 is equivalent to 12/30
therefore 12 uniforms are medium