suppose sinc(x)=-5/13 where x terminates in quadrant iii. find sin(2x)

Answers

Answer 1

The value of sin(2x) is -120/169 when x terminates in quadrant iii.

Since sinc(x) is negative and terminates in quadrant III, we know that sin(x) is negative and cos(x) is positive.

Let's first solve for sin(x) using the given value of sinc(x):

sinc(x) = sin(x)/x = -5/13

sin(x) = -5x/13

Using the Pythagorean identity, we can solve for cos(x):

cos(x) = sqrt(1 - sin^2(x)) = sqrt(1 - 25x^2/169)

Now we can use the double angle formula for sine:

sin(2x) = 2sin(x)cos(x) = 2(-5x/13)(sqrt(1 - 25x^2/169))

To simplify this expression, we can substitute sin(x) = -5x/13:

sin(2x) = -10x(sqrt(1 - 25x^2/169))/13

Note that x terminates in quadrant III, so it is negative. Thus, we can simplify further:

sin(2x) = 10x(sqrt(1 - 25x^2/169))/13

To know more about terminates,

https://brainly.com/question/28914840

#SPJ11


Related Questions

What is the classification of the angle shown??
A. acute
B. right
C. straight
D. obtuse

What is the classification of the angle shown??A. acuteB. rightC. straightD. obtuse

Answers

Answer:

Acute

Step-by-step explanation:

Josiah plants vegetable seeds in rows. Each row has the same number of seeds in it. He plants more than one row of seeds. What could be the total number of seeds he plants?

Answers

The total number of seeds that Josiah would plant would be = nR×S

How to determine the total number of seeds that Josiah will plant?

To determine the total number of seeds that Josiah will plant will be to add the seeds in the total number of rooms he planted.

Let each row be represented as = nR

Where n represents the number of rows planted by him.

Let the seed be represented as = S

The total number of seeds he planted = nR×S

Therefore, the total number of seeds that was planted Josiah would be = nR×S.

Learn more about multiplication here:

https://brainly.com/question/30340107

#SPJ1

what is the weighted mean, mean, and median overall rate of return on this investment portfolio?

Answers

The weighted mean takes into account the weight of each investment and can provide a more accurate measure of the overall rate of return on the portfolio than the mean or median.

The weighted mean, mean, and median overall rate of return on this investment portfolio can be calculated using the following formulas:

Weighted Mean: Weighted mean = (R1 x W1) + (R2 x W2) + (R3 x W3) + ...

Mean: Mean = (R1 + R2 + R3 + ...) / N

Median: Median = (N + 1) / 2

where R1, R2, etc. are the returns on individual investments, W1, W2, etc. are the weights assigned to each investment, and N is the total number of investments in the portfolio.

for such more questions on investment portfolio

https://brainly.com/question/30185428

#SPJ11

Type the integer that makes the following subtraction sentence true:
-57 - ? = -151

Answers

Answer:

94

Step-by-step explanation:

Its pretty simple,

The easiest way to find the missing number is to do 151-57, which = 94

Please help me
-5 x (-5)

Answers

Answer:

25x

Step-by-step explanation:

\(-5x\left(-5\right)\)

Frist Multiply the numbers: 5(-5) = -25

\(=-\left(-25\right)x\)

remove the parentheses.

=25x

Answer: 25x

Step-by-step explanation:

Brayen purchased a house that was worth $190,000. The value of the house increased by 7% each year for the next 5 years. a. The value of the house at any given moment during the first five years) is what percent of the value of the house exactly one year earlier? 1% Preview b. What number do we multiply the house's value by to determine the house's value one year later? Preview c. Write a function that determines the value of the house in thousands of dollars) in terms of the number of yearst since Taylor purchased the house, f(t) =

Answers

To determine the house's value one year later, we multiply the house's value by 1.07.

a. The value of the house at any given moment during the first five years is 107% of the value of the house exactly one year earlier. This is because the value increased by 7% each year.


b. To determine the house's value one year later, we multiply the house's value by 1.07. This is because the value increased by 7%.

c. The function that determines the value of the house in thousands of dollars in terms of the number of years since Brayen purchased the house is:
f(t) = 190(1.07)^t
where t is the number of years since Brayen purchased the house and f(t) is the value of the house in thousands of dollars.

To know more about function visit:

https://brainly.com/question/12431044

#SPJ11

Factor the expression completely.
2x-5x^2

If done correctly ill give brainliest and this is a test so please help fast!

Factor the expression completely.2x-5x^2If done correctly ill give brainliest and this is a test so please

Answers

Answer:

2

5

2

Step-by-step explanation:

=0.3

Is x+2 a factor of the polynomial f(x)=2x^4-3x^2-4x+1?

a. f(2)=0, so (x+2) is a factor.
b. f(-2)=29, so (x+2) is not a factor.
c. f(-2)=0, so (x+2) is a factor.
d. f(2)=13, so (x+2) is not a factor.

Answers

Answer:

B

Step-by-step explanation:

the value of the x should be the same if we want to verify whether x+2 is a factor of f(x)

so if x=-2 ,f(-2) = 29

x+2=0 f(0) = 1

f(0) \(\neq\) f(-2) ,so x+2 is not a factor

what it actually means it that if we move the graphic of f(x) to left along to x axis 2 units, the graphic of new one cannot coincide with the original one.

can anyone pls help? ​

can anyone pls help?

Answers

Answer:

Yes!!

Step-by-step explanation:

It is because -4 is smaller than 3. All negative numbers are smaller than positive ones. :)

Have an amazing day!!

Please rate and mark brainliest!!

Someone please Help me with this please

Someone please Help me with this please

Answers

Answer:

x= 70 degrees

y= 70 degrees

z= 35 degrees

Step-by-step explanation:

x=70 y=70 z=35 lmk if u need an explanation

What is the unit rate of 92 dollars for 2 video games

Answers

Answer:

It is $46 per video game because 92 divided by 2 is 46.

Step-by-step explanation:

one angle of a right angled triangle is 63degree .find the other angle in grades​

Answers

Answer:

27°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 63° = 180°

x + 153° = 180° ( subtract 153° from both sides )

x = 27°

Answer:

27 degrees

Step-by-step explanation:

A right angled triangle has 1 angle as 90 degree. And as you know the other angle is 63 degree, and the angle sum property of a triangle is 180 degrees. So-

Let's take 'x' as the other angle.

90 + 63 + x = 180

153 + x = 180

x = 180 - 153 = 27

x = 27 degrees

So, the other angle is 27 degrees.

All the angles of the right-angled triangle are- 90, 63, 27.

PLEASE HELP ASAP

ITS ENGLISH

PLEASE HELP ASAPITS ENGLISH

Answers

The option that best narrate the main idea of the summary is option C in the image attached.

What is the main idea of a passage?

The main idea is known to  be a term that connote the key, or most vital, notion or idea in any given summary, paragraph or passage.

Note that it is one that tends to tell  the aim and gives the direction of the paragraph or passage.

From the passage, we see that a lot of activities were going on as a result of the presence of the narrator who was held bound but was still treated well.

Therefore,The option that best narrate the main idea of the summary is option C in the image attached.

Learn more about main idea from

https://brainly.com/question/1119015

#SPJ1

PLEASE HELP thank you!!

PLEASE HELP thank you!!

Answers

Surface area:
5x4
5x8
5x8
4x5
4x5
4x5
4x8x2
4x4x2
Sum=256 in^2

find the distance between the skew lines with parametric equations x = 3 t, y = 1 6t, z = 2t, and x = 3 2s, y = 6 14s, z = −3 5s.

Answers

The distance between the skew lines is √[30625t² - 244000ts + 12864000].

What are skew lines?

Skew lines are two lines in space that do not intersect and are not parallel. They are not planes, as they do not lie in a single plane.

Given,

x = 3t, y = 16t, z = 2t and x = 32s, y = 614s, z = -35s

We need to find the distance between the skew lines.

To solve this problem, we will use the formula for the distance between two skew lines.

Distance between two skew lines = √[(x₁ - x₂)² + (y₁ - y₂)² + (z₁ - z₂)²]

Substituting the given values in the above formula,

Distance between two skew lines = √[(3t - 32s)² + (16t - 614s)² + (2t - (-35s))²]

= √[(3t - 32s)² + (16t - 614s)² + (2t + 35s)²]

= √[9t² - 64ts + 1024s² + 256t² - 9696st + 38416s² + 4t² + 140ts + 1225s²]

= √[1225t² - 9760ts + 51456s²]

= √[(1225 x 25)t² - 9760ts + 51456 x 25]

= √[30625t² - 244000ts + 12864000]

Therefore, the distance between the skew lines is √[30625t² - 244000ts + 12864000].

For more questions related to skew lines

https://brainly.com/question/2099645

#SPJ1

What is the probability of landing on a number greater then 5 and then landing on a number greater then 4

What is the probability of landing on a number greater then 5 and then landing on a number greater then

Answers

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating probability

\(Probability=\frac{number\text{ of required outcomes}}{number\text{ of total possible outcomes}}\)

STEP 2: Find the probability of landing on a number greater than 5

\(\begin{gathered} Pr(greater\text{ than 5\rparen}=Pr(6\text{ and above\rparen} \\ Pr(greater\text{ than 5\rparen}=Pr(6)=\frac{1}{4} \end{gathered}\)

STEP 3: Find the probability of landing on a number

May someone tell me if I’m correct cause I think I’m right but I need to double check with someone thanks

May someone tell me if Im correct cause I think Im right but I need to double check with someone thanks

Answers

Answer: Proportional

Step-by-step explanation: Any table that starts with (0,0), it means it’s proportional!

Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025? a. $2,190. 75 b. $2,044. 70 c. $1,703. 92 d. $1,217. 8.

Answers

The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month, so the correct option is A.

How to determine the amount using the standard 28/36 guides?

To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025, the following calculation must be made:

((73025 x 36) / 100) / 12 = X
(2,628,900 / 100) / 12 = X
26,289 / 12 = X
2,190.75 = X

Therefore, the maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

Learn more about mortgages in https://brainly.com/question/20589209

Answer:a

Step-by-step explanation:

The diagrams below show two cereal boxes of different sizes and prices. (a) big box 500 g $8.00 small box 300 g $5.40 Which of the boxes is better value for money? Show your workings.​

Answers

Answer: Small box has the lowest amount when divided, that box has the best value.

Step-by-step explanation:

Given data,

Big box = 500 g

It cost is $8.00

Small box = 300 g

It cost is $ 5.40

First switch the box that's in kilograms into grams.

One kilogram=1000 grams.

Then,    Big box = 500 g = $ 8.00

            Small box = 300 g = $ 5.40

Next divide the amount in each box by the cost of each box.

           Big box = 500/8

           Big box  = 62.5

           Small box = 300/540

           Small box  = 0.5555

Therefore,

So, since small box has the lowest amount when divided, that box has the best value.

Learn more about event correlation here: brainly.com/question/16430111  

#SPJ9                      

                         

What is the equation of the line that passes through (-5, 0) and (-3, 6)?

Answers

Answer:

y = 3x + 15

Step-by-step explanation:

y = mx + b

m = (y_2 - y_1)/(x_2 - x_1) = (6 - 0)/(-3 - (-5)) = 6/2 = 3

y = 3x + b

0 = 3(-5) + b

b = 15

y = 3x + 15

Solve the equation AB=BCAB=BC for AA, assuming that A,BA,B and CC are square matrices and BB is invertible.

Answers

The equation AB=BC for \(A=BCB^{-1}\).

The solution of AB = BC  for A, assuming that A,B and C are square matrices and B is invertible is

We have to solve the equation

AB = BC given that these all are square matrices and B is invertible.

Write the required Equation:

AB = BC

Multiply both sides by inverse of B

The multiplicative inverse of a matrix is the matrix that gives you the identity matrix when multiplied by the original matrix.

Since the outcome of multiplying a matrix by an identity matrix is always the same original non-identity (non-unit) matrix, as was previously stated, the identity matrix is also known as a "unit matrix."

⇒\(ABB^{-1} =BCB^{-1}\)

⇒\(AI=BCB^{-1}\)

⇒\(A=BCB^{-1}\)

Therefore, the solution of AB = BC is \(A=BCB^{-1}\).

For more such questions on matrix

brainly.com/question/13260356

#SPJ4

Which linear function represents the line given by the point-slope equation y - 8 = 1/2(x-4)?
Of(x) = x +4
Of(x) = x + 6
Of(x)=1/2x-10
Of(x)=1/2x-12

Answers

The linear function represents the line is y = 1/2x + 6

Linear functions

These are functions that has a leading degree of 1. Given the function in slope-intercept form;

y - 8 = 1/2(x-4)

Make y the subject of the formula

y = 1/2(x - 4) + 8

Expand

y = 1/2x -4/2 + 8

y = 1/2x - 2 +8

y = 1/2x + 6

Hence the linear function represents the line is y = 1/2x + 6

Learn more on linear function here: https://brainly.com/question/24349828

#SPJ1

2. The following set of count readings was made in a gradient-free γ-ray field, using a suitable detector for repetitive time periods of one minute: 18,500;18,410; 18,250;18,760;18,600;18,220;18,540;18,270;18,670;18,540. (a) What is the mean value of the number of counts? (b) What is its standard deviation (S.D.)? (c) What is the theoretical minimum S.D. of the mean? (d) What is the actual S.D. of a single reading? (e) What is the theoretical minimum S.D. of a single reading?

Answers

The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

Learn more about inflection point here:

https://brainly.com/question/29249123

#SPJ11

Consider the simple linear regression model: yi = β0 + β1xi + εi Show that minimizing the sum of squared residuals lead to the following least squares coefficient estimates: βˆ 0 = ¯y − βˆ 1x, ¯ βˆ 1 = Pn i=1(xi − x¯)(yi − y¯) Pn i=1(xi − x¯) 2 , where y¯ = 1 n Pn i=1 yi and x¯ = 1 n Pn i=1 xi .

Answers

The simple linear regression model is given by yi = β0 + β1xi + εi, where β0 is the intercept, β1 is the slope, xi is the predictor variable, yi is the response variable, and εi is the error term. These are the least squares coefficient estimates for the simple linear regression model.

The goal of least squares regression is to find the values of β0 and β1 that minimize the sum of the squared residuals.
To find the least squares coefficient estimates, we need to minimize the sum of the squared residuals. The residual is the difference between the observed value of yi and the predicted value of yi. The predicted value of yi is given by β0 + β1xi. Therefore, the residual can be written as yi - (β0 + β1xi).
The sum of squared residuals is given by:
Σi=1n (yi - β0 - β1xi)²
To find the values of β0 and β1 that minimize this sum, we take the partial derivatives with respect to β0 and β1 and set them equal to zero:
∂/∂β0 Σi=1n (yi - β0 - β1xi)² = 0
∂/∂β1 Σi=1n (yi - β0 - β1xi)² = 0
Solving these equations yields:
βˆ 0 = ¯y − βˆ 1x
and
βˆ 1 = Pn i=1(xi − x¯)(yi − y¯) / Pn i=1(xi − x¯)²
where y¯ = 1 n Pn i=1 yi and x¯ = 1 n Pn i=1 xi. These are the least squares coefficient estimates for the simple linear regression model.

Learn more about regression here

https://brainly.com/question/17004137

#SPJ11

1. Find the slant height of a square pyramid with a surface area of 57 square feet and a base perimeter of 12 feet

Answers

Answer:

Slant height = 8 feet.

Step-by-step explanation:

If the perimeter of the square base = 12 then each side of the base = 12/4

= 3  feet and its area = 3*3 = 9 ft^2

The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.

So total surface area = 57 = 9 + 4 * 1.5h

9 + 6h = 57

6h = 48

h = 8 feet.

A polynomial f and a factor of f are given. Factor f completely.
f(x) = 3x³ + 13x²+2x-8; x + 4

Answers

Answer:

(x+4)(3x-2)(x+1)

Step-by-step explanation:

A polynomial f and a factor of f are given. Factor f completely.f(x) = 3x + 13x+2x-8; x + 4

PLSSS HELPP FOR 150 POINTS NO JOKE CAN EVEN SEND U 50 MORE IF U HELP

PLSSS HELPP FOR 150 POINTS NO JOKE CAN EVEN SEND U 50 MORE IF U HELP

Answers

Answer:

what the other dude said

Step-by-step explanation:

a quadrilateral has 1 pair of equal sides what 2 shapes can it be

Answers

Answer: Square and rectangle

Step-by-step explanation:

Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?

Answers

Answer:


(7,3)


Hope this helps

Someone please help me

Someone please help me

Answers

Answer:

Slope = \(-\frac{1}{6}\)

Step-by-step explanation:

Slope = \(\frac{Rise}{Run}\)

Slope = \(\frac{6-10}{24-0}\)

Slope = \(-\frac{1}{6}\)

Answer:

-1/6

Step-by-step explanation:

Just use the formula Y2-Y1/X2-X1.

In this case if you substitute the coordinates of those numbers, then it would be 6-10/24-0 which is 24/-4 and if you simplify it, then you get the slope -1/6.

Other Questions
A giraffe runs at a rate of 32 miles per hour. Which equation models the situation?h = time spent running, in hoursd = distance run in miles32h = d32d = hh = 32 + dh = 32 d Which of the following are likely to be affected by a magnet?Check all that apply. A. Credit card B. A CD C. An audio cassette tape D. A wind up alarm clock an increase in government purchases of $200 billion will shift the aggregate demand curve to the right by Which expression does not factor?O m+1m-10 m +1m - 1ODONE c=3c2 + 5 .............. When starting a featheredge, sandpaper grit is increased in steps of up toA) 200B) 150C) 100D) 50grit at a time. please help!!!150-180 words. write a letter of complaint to the Mayor of your town/city about:value of money problem and vehicle maintenance problem in public transport. Give a solution to each problem a student throws a set of keys vertically upward to his fraternity brother, who is in a window 4.15 m above. the brother's outstretched hand catches the keys 1.70 s later. (take upward as the positive direction. indicate the direction with the sign of your answer.) Let Sn = So + X (n 1) X; i=1 be a simple random walk starting in the random variable So. That is, X1, X2,. of i.i.d. random variables independent of So such that = P[X +1]: = p and P[X Why is it useful or important to learn about the different religions that peoplearound the world practice? what tools or ideas are good to track micro-conversions? group of answer choices behavior segments in analytics utm codes in urls. demographics in analytics share of voice goals in analytics a tragedy of the commons results when individuals choose to use more than their fair share of a collective resource. under what circumstances are these tragedies more likely to occur? I NEED HELP ASAP, IM ON TIMER!!!How does this part of Lanyons letter help create suspense?by mentioning that the scene is set in Londonby describing a mysterious and nervous strangerby mentioning the pillars of the porticoby describing someone Lanyon knows well which TWO of the following quotes best support the answer the part A puritan laws and character Following are six situations that involve the audit risk model as it is used for planning audit evidence requirements in the audit of inventory as a result of negative externalities that are imposed by producers, costs are transferred to society and therefore firms incur production costs and have supply curves that are the full cost associated with producing their goods. Hey I need help ASAPppppp Part D: HLA-RELA Understand solving equations #$ process of reasoning and eplain the reasoning based on rational functions: This summer, 450 players, including 30 who received scholarships- attend Coach Drummond'= summcr lacrosse camp Next summer; the fixed cost is projected t0 increase to S1S,700 , and the cost for meals and snacks projected to Inctese 525 per player. Coach Drummond would like keep the price per player the same as this summer. She anticipales that least 450 players will attend next summer. Write recommendation Coach Drummond that analyzes the number of players she ill need to attend her camp next summer; the price per player, and the number of scholarships that she should offer. Provide evidence to support your answer. what are the causes of risky behaviour Find the average atomic mass of smithium ?