ANSWER:
\(\begin{gathered} \sin 2x=\frac{12}{13} \\ \cos 2x=-\frac{5}{13} \\ \tan 2x=-\frac{12}{5} \end{gathered}\)STEP-BY-STEP EXPLANATION:
We know that cotagent is given as follows:
\(\begin{gathered} \cot x=\frac{\text{ adjacent }}{\text{ opposite}} \\ \text{ therefore} \\ \text{adjacent = 2} \\ \text{ oppoiste = 3} \\ \text{ hypotenuse =}\sqrt[]{2^2+3^2}=\sqrt[]{4+9}=\sqrt[]{13} \end{gathered}\)Therefore:
sin 2x:
\(\begin{gathered} \sin 2x=2\sin x\cdot\cos x \\ \sin x=\frac{\text{ opposite}}{\text{ hypotenuse}}=\frac{3}{\sqrt[]{13}} \\ \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}=\frac{2}{\sqrt[]{13}} \\ \sin 2x=2\sin x\cdot\cos x=2\cdot\frac{3}{\sqrt{13}}\cdot\frac{2}{\sqrt{13}}=\frac{12}{13} \end{gathered}\)cos 2x:
\(\begin{gathered} \cos 2x=\cos ^2x-\sin ^2x \\ \sin ^2x=\mleft(\frac{3}{\sqrt{13}}\mright)^2=\frac{9}{13} \\ \cos ^2x=\mleft(\frac{2}{\sqrt{13}}\mright)^2=\frac{4}{13} \\ \cos 2x=\frac{4}{13}-\frac{9}{13}=-\frac{5}{13} \end{gathered}\)tan 2x:
\(\tan 2x=\frac{\sin 2x}{\cos 2x}=\frac{\frac{12}{13}}{-\frac{5}{13}}=-\frac{12}{5}\)Write the expression as a product of polynomials: p(c–d)+c–d
The simplified expression as a product of polynomials is given as follows:
(c - d)(p + 1).
How to simplify the expression?
The expression for this problem is defined as follows:
p(c - d) + c - d.
The expression can be defined as an addition in which the terms are given as follows:
p(c - d).(c - d).The common factor to both of the terms of the addition is given as follows:
(c - d).
The quotients of each term relative to the common factor are given as follows:
p(c - d)/(c - d) = p.(c - d)/(c - d) = 1.Hence the simplified expression is given as follows:
(c - d)(p + 1).
(the plus sign for p + 1 is because the expression is an addition and not a subtraction).
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A one-tailed hypothesis test with the t statistic Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminished capacity for remorse, superficial charm, thrill seeking, and poor behavioral control. ASPD is not normally diagnosed in children or adolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. James Blair and his colleagues have studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. They have found that children with antisocial tendencies have selective impairments, with significantly more difficulty recognizing fearful and sad expressions. Suppose you have a sample of 40 16-year-old children with antisocial tendencies and you are particularly interested in the emotion of disgust. The average 16-year-old has a score on the emotion recognition scale of 11.80. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 16-year-olds. Stated using symbols:_________. This is a __________ tailed test. Given what you know, you will evaluate this hypothesis using a________ statistic.
Step-by-step explanation
The answers in bold is what was required from the question.
the null hypothesis using symbol:-
H₀ : μ = 11.80
the alternative hypothesis using symbol:-
H₁: μ ≠ 11.80
This is a one tailed test. Given what you know, you will evaluate this hypothesis using a t test statistic.
Alpha level = 0.05
Sample size = n
Degree of freedom = n-1 = 40-1 = 39
To use the t distribution we will have to find the critical value from the t table this value is 1.685
But the question does not have sample mean and sample standard deviation. So I was unable to solve for the standard error
please help. there is also another picture that goes with this one
 
                                                We see that A, B, C, and E are straight lines, but D is a parabola. The graph of a quadratic equation is a parabola, so que equation of D is y = 0.1x² (the only quadratic function of the set).
Among the straight lines, there is only one of them with a negative slope, and this is line E. The only equation that has a negative slope is y = 9 - 0.5x, so this is the equation of the line E.
Now, we see that C passes through the origin, so the y-intercept must be 0. The only linear equation that has a y-intercept equal to 0 is y = x, so this is the equation of the line C.
Additionally, B and C are parallel, so they must have the same slope. Since B has a slope of 1, the equation of B must be y = x + 2, which has a slope 1.
Finally, the equation of A is y = 2x + 2 (the only one remaining).
If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation:
908636549723 times 47647647 divided bye 98
Answer:
4.4177953e17
Step-by-step explanation:
i think that's the answer im not sure i worked it out in my notebook sorry if it's wrong
Which expression represents the phrase?
"20 decreased by the sum of 6 and b."
 
                                                Answer:
The answer is D.
Step-by-step explanation:
The phrase "20 decreased by the sum of 6 and b." means that since the word sum is the word for the result of two numbers being added together, it would make sense if you look at ( 6 + b ), and since you're also decreasing the result by 20, that would mean subtracting it by 20, so you get 20 - ( 6 + b ).
I hope this helps you :D
HELPPPP
PLEASE EXPLAIN 
AND NO LINKS
 
                                                Answer:
77.5
Step-by-step explanation:
(22 - 9)/2 = 13/2 = 6.5
9 * 5 + 2 * (6.5 * 5)/2 = 45 + 6.5 * 5 = 77.5
Write the slope-intercept form of the equation for each line.
 
                                                Step-by-step explanation:
points on the line: (4, -2) & (-5, 3)
gradient of the line = -5/9
general equation for all straight lines: y = mx + c
substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c
therefore, c = 2/9
so the general equation is y = (-5/9)x + 2/9
I need alot of help with this question???
 
                                                 
                                                Answer:
no clue bro just help yourself
Step-by-step explanation:
add them
or multiply or divide or subtract and you'll get it
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve? 
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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una persona tiene 6 chaquetas y 10 pantalones. de cuántas formas distintas puede combinar estas prendas?
The total number of combinations is given as follows:
60.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways for one experiment and n ways for another experiment, then there are m x n ways in which the two experiments can happen simultaneously.
This can be extended to more than two trials, where the number of ways in which all the trials can happen simultaneously is the product of the number of outcomes of each individual experiment, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
The parameters for this problem are given as follows:
\(n_1 = 6, n_2 = 10\)
Hence the total number of combinations is given as follows:
6 x 10 = 60.
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Which of the following is a true statement of the figure?
An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:
A
D
D
C
=
D
C
C
B
A
C
A
B
=
D
B
D
C
A
D
D
C
=
A
B
C
B
B
C
B
A
=
D
C
C
B
Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Ray BE is a bisector of angle CBA,
∠CBE = ∠EBA = 60°
∠EBD = ∠EBA - ∠DBA
∠EBD = 60 - 30 = 30
So,
∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]
Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following statements is true if ray BE is a bisector of angle CBA?
A. Ray BD is a bisector of angle CBA.
B. ∠EBD is congruent to ∠CBE.
C. Ray BE is a bisector of angle ABE.
D. ∠EBD is congruent to ∠DBA.
 
                                                            What operation can you use on both sides of the equation 100=100+y to solve the equation for y? Solve the equation for y.Then explain how to check the solution.
The operation " Subtract 100 on both the sides" ,you can use on both sides of the equation 100=100+y to solve the equation for y. We can check this by substituting back this into the equation and see whether both the sides are equal.
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
100=100+y
Subtract 100 on both the sides
=> 100-100 = 100-100 + y
=> 0=0+y
=> 0 = y
=> y=0
checking the solution:
Put y=0 into the given equation
=> 100=100+0
=> 100 = 100
We can see that both the sides are equal( true). So, y=0 is the solution
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Help please
Condense to a single logarithm is possible 
In(6x^9)-In(x^2)
The logarithm expression can be simplified to:
In(6x^9)-In(x^2) =7·ln(6x)
How to write this as a single logarithm?There are some logarithm properties we can use here.
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
(these obviously also apply to the natural logarithm)
Now let's look at our expression, it says that:
In(6x^9)-In(x^2)
Using the first rule, we can rewrite this as.
In(6x^9)-In(x^2) = ln(6x^9/x^2)
Now solving the quotient in the argument:
ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)
That is the expresison simplified.
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190 muitiplied by 186
Answer:
35340
Step-by-step explanation:
please like my answer
Answer: 35340
Step-by-step explanation: just multiply
1) What will be the total interest paid on a 30-year mortgage loan
of $135,000 at 4.296 interest?
Answer:
173 988
Step-by-step explanation:
£135,000 of 4.296% times 30
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
A magician performs in a hall that has a seating capacity of 1,000 spectators. With ticket prices set at $47, average attendance has been 640 spectators. A marketing survey shows that for each dollar the ticket price is lowered, the average attendance increases by 20. Find the price that maximizes revenue from ticket sales.
The price that maximizes revenue from ticket sales is $ 11, 445.
We have,
Ticket price = $47
Let x the decreasing number of the ticket price.
So, The revenue is
R = ticket price x numbers of spectator
R(x) = ( 47 - x ) ( 640 + 20x)
= 30,800 + 940x - 640x -20x²
= -20x² + 300x + 30,800
Now, Taking derivatives on both sides
R'(x) = -40x + 300
and, R'(x) = 0
-40x = -300
x = 7.5
So, the price per ticket is
= 47- 7.5
= $ 39.5
and, R(max) = -20(39.5)² + 300(39.5) + 30,800
R(max) = -31205 + 42650
R(max) = $ 11, 445
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Answer:
$39.50
Step-by-step explanation:
Help please! (view image below)
I'm not sure if the answer is 1 or not, can someone help me understand?
 
                                                Reading the distance time graph showing Nora's journey from home to store, to the bank, and back home, the distance in blocks from home is
2 blocks from homeHow to find the distance in blocks from home to the storeInformation given in the problem include
Nora left her house and drove to the store.
She stopped and went inside.
Since we looking for the distance from the home to the store the information above will guide us
at (0, 0) Nora was at home
at (2, 2) Nora is at the store
The ordered pair (2, 2) means
2 minutes elapsed 2 blocks from homeThen we can say that Nora was 2 blocks from home with 2 minutes elapsed
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What is the rate of decrease 
$16, 000(.85) ^t
Answer:
%17
Step-by-step explanation:
How many different ways are there to arrange the letters in the word MISSISSIPPI?
 
                                                Answer: 34,650 permutations
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
write inequality shown y=-11/7x-4
Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:
y ≤ -11/7x - 4
This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.
Step-by-step explanation: .
Fill in the missing values to make the equations true.
 
                                                The missing terms in the logarithmic equation are solved
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
a)
log₄ 11 + log₄ 5 = log₄ ( a )
Now , the value of a is
From the logarithmic properties , we get
log A + log B = log AB
So , a = 11 + 5 = 16
b)
log₅ 3 - log₅ ( a ) = log₅( 3/5 )
From the logarithmic properties , we get
log A − log B = log A/B
So , a = 5
c)
log₇ 8 = 3 log₇ ( a )
From the logarithmic properties , we get
log Aⁿ = n log A
8 = 2³
So , a = 3
Hence , the logarithmic equation is solved
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35 devide 28 with decimals pls help 
Answer:
1.25
Step-by-step explanation:
The answer in decimal is 1.25
35/28= 1.25
= 35 ÷ 28
by 1
=35 - 28 = 7
Introducing decimals
= 70 to 28
by 2
= 70 - 56 = 14
adding zero to 14
= 140 to 28
by 5
= 140 - 140 =0
the answer is 1.25
I did it this way through division hope you'll understand. All the best.
Which of the following proves ABC=ADEF?
 
                                                Answer:
C) ASA
Step-by-step explanation:
Use what's given to limit your options:
We have two pairs of congruent angles, <B and <E, <C and <F, which means we can eliminate choices B and D because both don't account for both angle pairs.
Since we read proofs from left to right, only C works because the side is in between.
Suppose that the functions p and q are defined as follows.
 
                                                 
                                                Answer:
Step-by-step explanation:
Hello,
qop(2)=q(p(2))
p(2) = 4+3=7
\(q(7) = \sqrt{7+2}=\sqrt{9}=3\)
so
qop(2)=3
and poq(2)=p(q(2))
\(q(2)=\sqrt{2+2} = \sqrt{4}=2\)
p(2) = 7
so poq(2)=7
thanks
The answer is "\(\bold{(q \circ p)(2)= 3}\ and \ \bold{(p \circ q)(2)=7}\)" and the further explanation can be defined as follows;
Given:
\(\to \bold{p(x)=x^2+3}\\\\\to \bold{q(x)=\sqrt{x+2}}\)
Find:
\(\bold{(q \circ p)(2)=?}\\\\\bold{(p \circ q)(2)=?}\)
Solve the value for \(\bold{(q \circ p)(2)}\\\\\):
\(\to \bold{(q \circ p)(2)= q \circ p(2) =q(p(2))}\\\\\)
\(\therefore\\\\ \to \bold{p(2)=2^2+3= 4+3=7}\\\\\ \because \\\\ \to \bold{q(p(2))=\sqrt{7+2}=\sqrt{9}=3}\)
Solve the value for \(\bold{(p \circ q)(2)}\\\\\):
\(\to \bold{(p \circ q)(2)= p \circ q(2)= p (q(2))}\\\\\)
\(\therefore\\\\ \to \bold{q(2)=\sqrt{2+2}=\sqrt{4}=2}\\\\\ \because \\\\ \to \bold{p(q(2))=2^2+3= 4+3=7}\)
Therefore the final answer of "\(\bold{(q \circ p)(2)= 3}\ and \ \bold{(p \circ q)(2)=7}\)"
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CAN SOMEONE LLEASE HELP ME IM SO LOST!!
 
                                                Answer: 1324 in^2
Step-by-step explanation:
Answer this guys please
 
                                                \(\longrightarrow{\green{A.\:-8}}\) ✔
Step-by-step explanation:
\(f(x )= - {x}^{2} + 1\)
Plugging in the value "\(x\:=\:-3\)" in the above expression, we have
\(f( - 3) = - ({ - 3})^{2} + 1 \\ \\ = - ( - 3 \times - 3) + 1 \\ \\ = - (9) + 1 \\ \\ = - 9 + 1 \\ \\ = - 8\)
\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)
\( \quad \quad \quad \quad \tt{f(x) = { - x}^{2} + 1} \: \: when \: \: x = - 3\)
Let's try!\( \quad \quad \quad \quad \tt{ ⟶f(x) = { - x}^{2} + 1}\)
\( \quad \quad \quad \quad \tt{⟶f(-3) = {- (-3)}^{2} + 1}\)
\( \quad \quad \quad \quad \tt{⟶ f( - 3) = { - (9) + 1}}\)
\(\quad \quad \quad \quad \tt{⟶ f( - 3) = { - 9 + 1}}\)
\(\quad \quad \quad \quad \tt{ ⟶f( - 3) = { -8}}\)
Hence, The answer is:\(\quad \quad \quad \quad \boxed{\tt{ \color{green}f( - 3) = { - 8}}}\)
_________
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                                                            A machine can produce 6 yards of fabric in 2 minutes. If it works at the same rate, how much fabric can the machine produce in 1 and 1/2 hours?
Answer:
im not sure but i think is 1
4