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].
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eduphoria! - School
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SA Desmos Scientific
Can you write the equation of a parallel line through the given coordinate and
type the correct code? Please remember to type in ALL CAPS with no spaces. *
Puzzle #4
1:
Find the equation
parallel to
Y: -2x 10
through (3, -1)
2:
Find the equation
parallel to
-1
• 12
through (3,-1)
answer choices
A: - B:
C:
Y'j* Y.-2x•7 y.-24-4
D: E
F:
Y 3*.7 Y-3
y=-2x1
G: H:
y.-24.5 y2x8 Y 3-1
T: -1.
3:
Find the equation
parallel to
y = -2x - 18
through (-3, 2)
4:
Find the equation
parallel to
-1
Y
3
through (12,-5)
Type the 4-
letter code into
the answer
box. All CAPS
no spaces.
X.16
Your answer
Answer: GACI
Step-by-step explanation:
20 POINTS
NEED HELP ASAP
If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)
A. x-3
B. x-1
C. 5x-1
D. 5x-3
I need help and thanks in advance
Step-by-step explanation:
b²-4ac
(10)²-4(-4)(-8)
=100+16+32
=148
A store has a sale with 10% off every item. When you enter the store, you receive a coupon that states that you receive an additional 40% off. Is this equal to a discount? Explain your answer.
The total percent of reduction is _____% , so this __ * is or is not * __equal to a discount.
Step-by-step explanation:
Step one:
We are told that the store offers off 10% of sales, this means that the store is offsetting the price down by 10% hence a price reduction.
Moreso, a coupon is a voucher entitling the holder to a discount off a particular product. the coupon is 40%, hence this is equal to a discount, that is price reduction by 40%.
Step two:
Say the price of an item is $100, a coupon if 40% will entitle the holder to only pay $60, that is
=40/100*100
=0.4*100
=$40 off
= 100-40
=$60
The total percent of reduction 10+40= 50%
This is equal to a discount on the sales price
x-1
1
X+4
+
2x+1
=
x-2
2x²-3x-2
Answer:
x = 2π3
Step-by-step explanation:
csc(x)csc(x) , x=πx=π
3x+2y+zx+y+z3x+2y+zx+y+z , x=2x=2 , y=3y=3 , z=1z=1
cot(3x)cot(3x) , x=2π3
Hope this helps :)
Write these following fractions in order from greatest to least
1/9
1/2
1/8
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{1}{9} = \frac{1 \times 8}{9 \times 8} = \frac{8}{72} \\ [/tex]
[tex] \frac{1}{2} = \frac{1 \times 36}{2 \times 36} = \frac{36}{72} \\ [/tex]
[tex] \frac{1}{8} = \frac{1 \times 9}{8 \times 9} = \frac{9}{72} \\ [/tex]
_________________________________
[tex] \frac{8}{72} < \frac{9}{72} < \frac{36}{72} \\ [/tex]
[tex] \frac{1}{9} < \frac{1}{8} < \frac{1}{2} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Thus the order from greatest to least is :
[tex] \frac{1}{2} \: , \: \frac{1}{8} \: , \: \frac{1}{9} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the circumference of a circle with a radius of
6 cm
Answer:
C = 12π cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
Circumference: C = 2πrStep-by-step explanation:
Step 1: Define
Radius r = 6 cm
Step 2: Find C
Substitute: C = 2π(6)Multiply: C = 12πfind the exact value of sin(4π3+π4)
sin(4(3.141593^3)+3.141593^4)
sin((4)(31.006277)+3.141593^4)
sin(124.025107+3.1415934)
in(124.025107+97.409091)
sin(221.434198)
=0.998844
Tbh, might be wrong on this one. I'm on the road so didn't double-check my answer.
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol
Answer:
1. A
2. B
3. A
4. B
5. A
Step-by-step explanation:
Edge 2022
Answer:
A: 24 > 16B: -22 < -6C: 21 > -18D: -25 < 5E: does not changeExplanation: Correct on Edg 2020.
10)
In 1990, about 13.8 million students were enrolled in U.S. colleges. In
2000, about 14.9 million students were projected to be enrolled in U.S.
colleges. Find the average rate of change in the number of students per
year.
Answer:
0.77% increase per year
Step-by-step explanation:
total % increase in the number of college students between 1990 and 2000:
= (14.9 - 13.8) / 13.8 = 1.1 / 13.8 = 0.07971 = 7.971%
average rate of increase per year:
1.07971 = (1 + r)¹⁰
¹⁰√1.07971 = ¹⁰√(1 + r)¹⁰
1.007699 = 1 + r
r = 1.007699 - 1 = 0.007699 = 0.77% increase per year
1) Escribe cuatro nombres para la rectaIJ
2) Nombra 3 segmentos de recta distintos que estén sobre HF.
3) Nombra 5 rayos que tengan el mismo extremo.
4) ¿Son BD y DB el mismo rayo? Explica si son el mismo rayo.
Answer:
GeraldineLucero Mejia Castillo,Magda CamanCastro,AnibalUlises Galiano Grados,Juan David
Step-by-step explanation:
ojala que te cirva
What is the equation for the line that passes through (3, 2) and has a slope
equal to 12
3
Answer:
Step-by-step explanation:
Remark
I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4
If that is the case then what you have so far is
Solution
y = 4x + b
The given point determines b
Givens
x = 3
y = 2
Given point
2 = 4*3 + b
2 = 12 + b
b = 2 - 12
b = -10
The equation is y = 4x - 10
Alright Soldier I need help, Solve for Percent Error, Calculate the percent error if the experimental value of the density of gold is 18.7 g/cm^3 and the accepted value is 19.3 g/cm^3
Answer:
Step-by-step explanation:
so the steps to doing this are as follows :
Subtract the accepted value from the experimental value.
Take the absolute value of step 1.
Divide that answer by the accepted value.
Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%
Round 61.7625 to the neares
Answer:
Nearest whole: 62
Nearest tenth: 61.8
Nearest hundredths: 61.76
Nearest thousandths: 61.763
PLEASE YALL I need HELP ASAP PLEASE PLEASE PLEASE I WILL MARK YOU AS BRANLIEST IF CORRECT
White an equation in slope intercept form whose slope is 10 and y intercept is -3.
Answer:
y = 10x - 3
Step-by-step explanation:
Answer:
f(x)=10x+-3
f(x)=mx +b
m= slope
b= y intercept
Step-by-step explanation:
Suppose that your school's environmental club wants to travel to the state capital to participate in an Earth Day festival. The rental of a bus for the day will cost $895. Lunch and festival activities will cost $25 per student. Your club advisor thinks that the fee for participating should not be more than $60. How many students must be recruited for the trip. Write a mathematical model for this.
Answer:
Mathematical model is:
(895/n) + 25 ≤ 60
Number of students must not be less than 26
Step-by-step explanation:
We are told that;
- the rental of a bus for the day will cost $895.
- Lunch and festival activities will cost $25 per student
If the number of students are n, then cost per student for bus rent is; $895/n
Thus, total amount per n number of students to participate is;
895/n + 25
Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.
Thus in form of inequality, we have;
(895/n) + 25 ≤ 60
Subtract 25 from both sides to get;
(895/n) ≤ 60 - 25
(895/n) ≤ 35
Multiply both sides by n and then divide both sides by 35;
895 ≤ 35n
26 ≤ n
Select the correct answer from the drop-down menu. Coulomb's law is given by F=^K^q1^q2/r^2, where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them. Rewrite the formula for Coulomb's law to solve for r. The formula for r is _____ .
(I've added a pic of the formula and the three pull down answers)
Answer:
ANSWER IS B
Step-by-step explanation:
The formula for the Coulomb's law with respect to r is given by the equation r = ( Kq₁q₂ / F )^1/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
F = Kq₁q₂ / r²
where F is the force, K is a constant, q1 and q2 are the charges on the two bodies, and r is the distance between them
On simplifying for r , we get
Multiply by r² on both sides , we get
Fr² = Kq₁q₂
Divide by F on both sides of the equation , we get
r² = ( Kq₁q₂ / F )
Taking square roots on both sides of the equation , we get
r = ( Kq₁q₂ / F )^1/2
Hence , the equation is r = ( Kq₁q₂ / F )^1/2
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Hey! Just do the first one! :) I also need this fast- so help! :((
Answer:
the second one
Step-by-step explanation:
that's the answer
What is the unit price of 6 pounds of chocolate that costs $51.00?
Answer:
$8.50 per pound
Step-by-step explanation:
51/6=8.5
The price of 1 pound is $8.5
What is an Equation ?An equation is a statement that relates expressions with constants or another expressions.
It is given that
6 pounds of chocolate costs $51
then let 1 pound of chocolate costs $x
The equation formed will be
x = $51/6 = $8.5
Therefore the price of 1 pound is $8.5
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Which of the following is not a Quadrilateral
Answer:
triangle?
Step-by-step explanation:
Answer:
A circle
Step-by-step explanation:
can i get brainliest
Let's assume your process yields products with a mean diameter of 12.50mm and σ = 0.010mm. If the specification calls for a range of 12.480mm - 12.530mm, what percentage of parts will have a diameter within these limits?
Answer:
There is a 97.59% that diameter of the product will fall in the specified range.
Step-by-step explanation:
Let X be the r.v. the diameter of a product
X~N(12.5, (0.010)²)
P(12.48 < X < 12.53) = P(X < 12.53) - P(X < 12.48)
Convert the x-values to corresponding z-values
[tex]Z_{1} = \frac{12.48 - 12.50}{0.01} = -2\\\\Z_{2} = \frac{12.53 - 12.50}{0.01} = 3\\\\[/tex]
Then, using the standard normal distribution cumulative probability tables:
[tex]P(X < 12.53) - P(X < 12.48) = P(Z < 3) - P(Z < -2)\\\\= P(Z < 3) - (1 - P(Z < 2))\\\\= 0.9987 - (1 - 0.9772)\\\\= 0.9987 - 0.0228\\\\= 0.9759[/tex]
Mrs. Garcia deposited $2500 into a new bank account. The bank pays 1.5% interest compounded annually on this account. She makes no additional deposits or withdrawals. How much is in her account at the end of 2 years?
Step-by-step explanation pls! :)
Answer:
$2575.5625
Step-by-step explanation:
2500*(1.015)^2
=$2575.5625
PLS GIVE BRAINLIEST
1st Year 2500*1.015=2537.5
2nd Year 2537.5*1.015=2575.5625
If you have two nickels and two dimes and nine pennies how much will that be
What is the slope of the line?
Answer:
The correct answer is Integer ;)
Abigail has $400 in her savings account. She wants to keep at least $160 in the account.
She withdraws $40 each week for food. Write and solve an inequality to show how many
weeks she can make withdrawals from her account.
Answer:
400-40x x=6
Step-by-step explanation:
400 in total. minus 40 each week (x)
40 × 6= 240
400-240=160
8=1/4(x+16) in simplest form
Answer:
X = 16
Step-by-step explanation:
multiply 1\4 by (x+16)
u got 8 = 1\4x +4
32 = x + 16
-x = -16
so x = 16
Hope you got it.
Mark it as Brainliest .
Answer:
x=16
Step-by-step explanation:
I HOPE THIS HELP
A 12-oz box of cereal costs $1.68.
What is the cost per Ounce?
Plz help I’ll give 20 points
Vocabulary Is every relation also a function? Explain.
A. No. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.
B. Yes. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.
C. Yes. A relation is a special type of function where each input maps to exactly one output. In a function, an input can have one or more outputs.
d. No. A function is a special type of relation where each input maps to exactly one output. In a relation, an input can have one or more outputs.
Answer:
It is B
Step-by-step explanation:
A user's vocabulary is a collection of often used words in their language. A vocabulary is a helpful and important instrument for communication and knowledge acquisition that develops with age.
One of the most challenging aspects of acquiring a new language is developing a wide vocabulary.
The correct answer is B. Yes. A function is a special type of relation where each input maps to exactly one output. In relation, an input can have one or more outputs.
Words that will be used in all of the classes. Cause and effect, comparison and contrast, and challenge and remedy are some characteristics of text pattern terms. With terms like imagine, forecast, and justify, functional vocabulary can also help with question generation.
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Cole's soup recipe is shown in the table above. What is the ratio of water to chicken stock? Express the ratio as a fraction in simplest form.
Answer:
2:3
Step-by-step explanation:
4:6, you would have to divide both sides by 2 to get the simplest answer which is 2:3, hope this helps