Answer:
2cot²(x)
Step-by-step explanation:
The simplified expression for cot²x/1+cot²x, cos²x.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f (x), with all x being real values, is said to be periodic.
Given, A trigonometric function [tex]\frac{cot^2x}{1 + cot^2x}[/tex],
Now, Using different trig identities we have,
[tex]= \frac{cot^2x}{cosec^2x}[/tex]
[tex]= \frac{\frac{cos^2x}{sin^2x}}{\frac{1}{sin^2x}}[/tex]
[tex]= {\frac{cos^2x}{sin^2x}}\times\frac{sin^2x}{1}[/tex].
= cos²x.
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Solve the system of equations.
3x-2y = 3
-4x + 5y = -11
On solving the provided question, we can say that - the value of x and y by the linear equation will be x = 12 and y = -21
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here, we have
3x-2y = 3
-4x + 5y = -11
and on solving we got
x = 12 and y = -21
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Please help with this question pls
Answer:
4+m
Step-by-step explanation:
You can't put them together 'cause they aren't like terms, so you just keep the sign that put them together in the first place.
Tony purchased a total of 18 bikes and magazines.Each book costs $12.How many books and magazines did he buy for $240
(You must define you variables and show your equations)
Tony purchased 12 books and 6 magazines for a total of $240.
What is equation?An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.
He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.
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hello i need help with my math question please thank.
The three ways to purchase a vehicle include: (1) On lease (2) On hire purchased and (3) On cash basis
How to purchase a vehicle?A vehicle can be purchased on the following ways:
Lease: This involves granting the user access on the property over a period of time before he could make payment
Hire purchase: In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis
Cash: In this method the buyer pays cash at prompt or on the point of purchase
Advantages include:
It places the buyer on good life without cash
He enjoys the luxurious life
Disadvantages:
He can run away with the vehicle
The seller looses in cash of accident taking the life of the buye
Additional expenses include
Cost of maintenance
Repairs
Fueling
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if the lines x+y=5 and 2x +2y+6=0 are parallel, find the distance between them
This a final question can anyone help ASAP
Answer:
4.6
Step-by-step explanation:
Find the median of the following set of numbers. 98, 67, 98, 102, 74, 95, 99
Answer:
98
Step-by-step explanation:
to find median you put the numbers in order from least to greatest then you see what number is in the middle
Answer:
98Step-by-step explanation:
The median of an information set is found by putting the information set in ascending numerical order and identifying the center number. If there are an odd number of data values within the data set, the median could be a single number. If there are an excellent number of data values within the data set, the median is that the average of the 2 middle numbers. Sorting the information set for the values entered above we have:
98, 67, 98, 102, 74, 95, 99
Since there's an odd number of data values during this data set, there's just one middle number. With 7 data values, the center number is that the data value at position 4. Therefore, the median is 98.
A factory makes 1200 shirts every 6 hours. The factory makes shirts for 9 hours each workday. enter the fewest number of workdays the factory will need to make 12,600
Answer: 7
Step-by-step explanation:
9/6 = 1.5
1200 x 1.5 = 1800 (t-shirts a work day)
12 600/1800 = 7
7 work days
Use the figure shown to answer the question that follows.
What is the order of rotation of this figure?
2
4
6
8
On solving the provided question we can say that - The number of times the geometric figure maps onto itself during a 360° rotation is the order of rotational symmetry.
What is the order of rotation?The order of rotational symmetry is the maximum number of rotations that a geometry may fit in. 360°A°, where A° is the smallest angle by which a figure may be rotated from its rotated shape to match its original shape, represents the degree of rotational symmetry. (180 degrees) A shape's degree of rotational symmetry is determined by how many times a perfect circle may be turned while maintaining its appearance. Only when a triangle is back in its original beginning position will a full 360° revolution appear the same.
If a geometric figure maps onto itself when rotated around an angle at its center, it possesses rotational symmetry.The number of times the geometric figure maps onto itself during a 360° rotation is the order of rotational symmetry.
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$576.188 rounded to the nearest hundredth I see
Answer:
$576.19
Step-by-step explanation:
Ian shuffles a standard deck of 52 playing cards and turns over the first four cards, one at a time. He records the number of aces he observes.
Have the conditions for a binomial setting been met for this scenario?
Yes, a success is “ace.”
Yes, all four conditions in BINS have been met.
No, we do not know how many aces will occur in those first four cards.
No, the cards are not being replaced, so the independence condition is not met.
Answer:
D No, because the cards are not being replaced in the deck after they are turned over, the independence condition has not been met.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
lucky guess
HELP PLSSS ILL GIVE BRAINLEST NOO FILES OR LINKS WILL REPORT
The graph of y = ax? + c, where a and c are
constants, is shown. What is the value of a ?

Answer:
A = 1/4
Step-by-step explanation:
Answer:
A = 1/4 is the correct answer
WILL MARK BRAINLIEST!
Given: parallelogram ABCD, calculate the length of AD
Answer:
15
Step-by-step explanation:
Due to it being a parallelogram 6x-10=3x+5 which makes it 3x-10=5 when you subtract both sides by 3x then you add 10 to both sides to make 3x = 15 which gets you x = 5 finally you put this into 4x-5 which is 4*5-5, 20-5=15 so the answer is 15
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Just need the answer to this question. No explanation needed
The distance of the ship from lighthouse found using sine law at both locations are 14.12 miles and 4.8 miles.
What is sine law?
The sine law asserts that the ratio of a triangle's side length to the sine of its opposing angle, which is constant for all three sides.
From the given figure we can find θ = 30 - 10 = 20°
According to sine law, we can write the following equation,
[tex]\frac{9.6}{sin \theta} = \frac{x}{sin \angle ABL} = \frac{y}{sin \angle LAB} \\[/tex]
From the figure, we get that ∠LAB= 10° (alternate angles)
∠LBC = 30°
∠ABL = 180 - 30 = 150°
θ = 20°
Substituting above values in the equation we get ,
[tex]\frac{9.6}{sin 20} = \frac{x}{sin 150} = \frac{y}{sin 10} \\\\\frac{9.6}{0.34} = \frac{x}{0.5} = \frac{y}{0.17}[/tex]
Solving the above we get,
x = 14.12
y = 4.8
Therefore the ship began 14.12 miles from the lighthouse and after travelling 9.6 miles south it is at 4.8 miles from the lighthouse.
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Find the measure of m∠A (inside the triangle).
Find the measure of m∠B.
Find the measure of m∠C.
Answer:
85 degrees
Step-by-step explanation:
180=x+4x-20
180=5x-20
200=5x
x=40
C=2(40)+5
C=80+5
C=85
Hey can someone pls help me? I’m confused. It says “find the value of x using complementary angels.”
Answer:
x = 9 if there is any confusion, please ask questions
Step-by-step explanation:
so in math, a complementary angle is when two angles add up to 90 degrees.
to find this, you have to do 90-81
90 - 81 = 9
How much more interest would be earned on a 100,0000 CD for 9 months than for 6 monthd
There is a $1,000 additional interest earned on a $100,000 CD (Commercial Paper) for 9 months than for 6 months.
How is the additional interest determined?The additional interest earned for a 9-month CD over a 6-month CD can be computed using the subtraction operation.
Firstly, the interests on the 9-month CD and 6-month CD are worked out separately, using the interest formula: Principal x Rate x Time.
The interest for the 6-month CD is subtracted from the interest for the 9-month CD. The result is the difference or additional interest earned.
Commercial Deposit = $100,000
Annual Percentage Rate = 4%
Monthly Percentage Rate = 0.333% (4%/12)
Interest for 9 months = $3,000 ($100,000 x 4% x 9/12)
Interest for 6 months = $2,000 ($100,000 x 4% x 6/12)
The difference in interest earned = $1,000 ($3,000 - $2,000) or ($100,000 x 4% x 3/12)
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Question Completion:APY = 4%
Malika owns a small business selling bagels. She knows that in the last week 63
customers paid cash, 22 customers used a debit card, and 13 customers used a credit
card
Based on these results, express the probability that the next customer will pay with
cash as a fraction in simplest form.
slove system equations
x+y=8
x-y=4
x=? y=?
Answer:
Step-by-step explanation:
To solve this system of equations, you can use the substitution method.
In this method, you solve one of the equations for one of the variables in terms of the other variable. Then you substitute this expression into the other equation. This will give you a single equation in one variable, which you can solve to find the value of that variable. Finally, you can substitute this value back into one of the original equations to find the value of the other variable.
To solve this system using substitution, we can solve the second equation for y:
y = x - 4
Then, we substitute this expression for y in the first equation:
x + (x - 4) = 8
Combining like terms, we get:
2x - 4 = 8
Adding 4 to both sides, we get:
2x = 12
Dividing both sides by 2, we find that:
x = 6
Now we can substitute this value back into one of the original equations to find the value of y. Let's substitute it into the second equation:
x - y = 4
Substituting 6 for x, we get:
6 - y = 4
Subtracting 6 from both sides, we find that:
y = 2
So the solution to the system of equations is x = 6 and y = 2.
Answer:
x=6, y = 2
Step-by-step explanation:
If you add 2 expressions, 2x = 12, so x = 6.
So the other one y = 2.
Ratio is equivalent to the ratio of 120 to 36
120:36 is equivalent to 10:3
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"The trick with ratios is to always multiply or divide the numbers by the same value.
Given here the ratio is 120:36≡10:3
Hence, 120:36 is equivalent to 10:3
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if a Relation is a Function
in the
1) ((−1, 8), (0, 15), (1, –4), (2, 0)) 2) {(-5, 2), (5, 2), (0, -3), (3,-8)) 3) ((-2, 7), (6, 2), (−2, −3), (0, 9))
is a function
because there is not any
Points which have the
X-Coordinate and differen
y-Coordinates.
4) {(7,2), (4,-6), (2,-2). (4,-9)} 5) {(2, 3), (2, 4), (2, 5), (2,6)}
6) {(1,4), (2,4), (3, 4), (4-4)}
1). The relation given; { (−1, 8), (0, 15), (1, –4), (2, 0) } as given is a function.
2). The relation given; { (-5, 2), (5, 2), (0, -3), (3,-8) } as given is a function.
3). The relation given; { (-2, 7), (6, 2), (−2, −3), (0, 9) } as given is not a function.
4). The relation given; { (7,2), (4,-6), (2,-2). (4,-9) } as given is not a function.
5). The relation given; { (2, 3), (2, 4), (2, 5), (2,6) } as given is not a function.
6). The relation given; { (1,4), (2, 4), (3, 4), (4, -4) } as given is a function.
What is a function?It is important to know that a function is a special kind of relation in which case no one input value, x is assigned more than one output value.
On this note, when a relation is such that one of its input values is assigned two or more output values; such relation is not a function.
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What is the value of x in the equation below?
1/3(12x-24) = 16
2
6
8
10
9514 1404 393
Answer:
(b) 6
Step-by-step explanation:
Eliminating parentheses gives ...
4x -8 = 16
Dividing by 4, we have ...
x -2 = 4
x = 6 . . . . . . add 2
Solve the following quadratic equation for all values of x in simplest form.
4(x 2−5)−1=3
The solutions to the equation 4(x² − 5) − 1 = 3 are ±√6
How to determine the solutions to the equation?From the question, we have the following parameters that can be used in our computation:
4(x 2−5)−1=3
Express properly
This gives
4(x² − 5) − 1 = 3
Subtract -1 from both sides of the equation
So, we have the following representation
4(x² − 5) = 4
Divide both sides by 4
This gives
x² − 5 = 1
Subtract -5 from both sides of the equation
So, we have the following representation
x² = 6
Take the square root of both sides
x = ±√6
Hence, the solution is ±√6
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plz anserw these questions. i will give brainelst
Answer:
Hello, their has been a update to brainly. we no longer accept images, **** off
Step-by-step explanation:
What number is equivalent to
32 + 6 – (14 – 5 × 2) ÷ 4
A
234
B
1012
C
14
D
15
Answer:
C you all welcome:)
Step-by-step explanation:
A was wrong sorry to tell you
Jared bakes 2 apple pies. He cuts the two pies into pies. Each piece is 1/8 of a pie. How much pie did Jared. cut?
He cut 16 pieces
I really hope this helps :D
will mark brainlist!! please help
Answer:
(2 2) is answer of this question
Answer:
(2,2) is the solution to both lines A and B
Step-by-step explanation:
this is because they both intersect at point (2,2)
Subtract the sum of 9 3/4 and 3 1/8 from 18 7/16
help pls
Answer:
-26/25
Step-by-step explanation:
I took the quiz and I got an A+
Answer:
5 7/16
Step-by-step explanation:
First off, make all the numbers have the same denominator.
In this case, the best one would be 16.
For 9 3/4, the four goes into 16 four times. So you multiply the 3 by four, and get 12 in the numerator. So it is now 9 12/16.
Next we have 3 1/8. 8 goes into 18 2 times. So you multiply 1 by 2 and get 2 in the numerator. So it is now 3 2/16.
Now, lets add the two together:
3 2/16+9 12/16 =
12 14/16
Now we know the sum of the two numbers.
Lets subtract this from 18 7/16:
18 7/16-12 14/16
=
5 7/16
This is your answer!
Hope this helps! :)
Is the vertex of -x^2q-2x+10=0 parabola a maximum value or minimum value?
The vertex of the parabola -x² - 2x + 10 = 0 occurs at (-1,11), It is a maximum value.
Determine whether the parabola is maximum value or minimum value?Given the equation of the parabola;
-x² - 2x + 10 = 0
First, the maximum of a quadratic function occurs at;
x = -b/a, if a is negative, the maximum value of the function is f( -b/2a)
f_max(x) = ax² + bx + c occurs at;
x = -b/2a
Now, find the value of x = -b/2a
Plug in a = -1 and b = -2
x = -( -2/2(-1) )
x = -( -2/-2) )
x = -( 1 )
x = -1
Hence;
f(x) = -x² - 2x + 10
f( -1 ) = -( -1 )² - 2( -1 ) + 10
f( -1 ) = -1 + 2 + 10
f( -1 ) = -1 + 12
f( -1 ) = 11
Therefore, maximum occurs at (-1,11).
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Jason found the measure of angle A