over a two hours time period, a snail moved 108 inches . how far is this in yards?​

Answer:

A. Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (StartFraction pi over 2 EndFraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Step-by-step explanation:

edge

The supplementary relationship between sine and cosine  

to write sin(x + y) is  sin x cos y + cos x sin y. and correct steps are

Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles. It is expressed as ratios of sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), cosecant(cosec) angles. For example, cos2 x + 5 sin x = 0 is a trigonometric equation.

What is Sin(a + b) Identity in Trigonometry?

Sin(a + b) is the trigonometry identity for compound angles. It is applied when the angle for which the value of the sine function is to be calculated is given in the form of the sum of angles. The angle (a + b) represents the compound angle.

sin (a + b) = sin a cos b + cos a sin b

According to the question

sin(x+y)

= cos ([tex]\frac{\pi }{2} - (x+y)[/tex])

Now as (cos (x-y) = cosx cosy - sinx siny )

=  Cos ([tex]\frac{\pi }{2}-x[/tex])cos(-y) - sin([tex]\frac{\pi }{2}-x[/tex])sin(-y)

By using identity sin(–y) = –sin(y) and cos(–y) = cos(y)      

=  Cos ([tex]\frac{\pi }{2}-x[/tex])cos(-y) - sin([tex]\frac{\pi }{2}-x[/tex])sin(-y)  

=  sin x cos y - cos x sin(-y)  

= sin x cos y + cos x sin y

Hence, the supplementary relationship between sine and cosine  

to write sin(x + y) is  sin x cos y + cos x sin y. and correct steps are

Use the complementary relationship between sine and cosine to rewrite sin(x + y) as Cosine (Start Fraction pi over 2 End Fraction minus (x + y) ). Apply the cosine sum identity. Then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

To know more about trigonometric equation and Sin(a + b) Identity here:

https://brainly.com/question/11919000

#SPJ3

Answer:

5

Step-by-step explanation:

Use the Exterior Angle Theorem.

The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.

In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:

17x - 4 + 8x = 121

First, combine like terms:

17x + 8x - 4 = 121

(17x + 8x) - 4 = 121

(25x) - 4 = 121

Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides of the equation:

25x - 4 (+4) = 121 (+4)

25x = 121 + 4

25x = 125

Next, divide 25 from both sides:

(25x)/25 = (125)/25

x = 125/25

x = 5

5 is your value for x.

~

Answer: 2^6

Step-by-step explanation: 2^4 x 2^3 is simplified to 2^7, 2^7/2^5 is 2^2, 2^2 x 2^4 is simplified to 2^6

Answer:

3,628,800 arrangements

Step-by-step explanation:

Permutation has to do with arrangement.

The number of ways to arrange n objects is expressed as:

n! = n(n-1)(n-2).... (n-r)!

If Sharel buys 10 charms for the bracelet, the number of ways the charms can be arranged is  10! ways

10! = 10*9*8*7*6*5*4*3*2*1

10! = 720*840*6

10! = 3,628,800 arrangements

Hence there are 3,628,800 arrangements of charms

Answer:

Probability = 0.943

Step-by-step explanation:

15.6% = 0.156(probability of handwritten records with missing data)

X = random variable denoting number of handwritten records whose data are missing

Values of x = 0,1...10

Using the binomial distribution

X~binomial (10,0.156)

P(x<=3)

P(x= 0)+p(x=1)+...+p(x=3)

10C0(0.156)⁰(1-0.156)¹⁰+10C1(0.156)¹(1-0.156)⁹+10C2(0.156)²(1-0.156)⁸+10C3(0.156)³(1-0.156)⁷

This gives a probability of 0.943.

Complete question :

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Bachelors = $53000

Masters = $65000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = b

Salary of Master's degree holder = 2b - 41000

Master's + bachelor's salary = $118,000

Hence,

2b - 41000 + b = 118,000

3b = 118000 + 41000

3b = 159000

b = 159000 / 3

b = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2b - 41000

2(53000) - 41000 = 65000

Answer:

5.25 litres.

Step-by-step explanation:

6 bottles * 3.5 litres = 21 litres of juice total.

21 / 4 = 5.25 litres per person.

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

where

is the change in the y-coordinate

is the change in the x-coordinate

For the initial climb (pink line), we have:

Therefore, the slope in this part is

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

3)

Again, to calculate the slope of the hill, we use:

where

is the change in the y-coordinate

is the change in the x-coordinate

For the green hill, we have:

So the rate of change is

4)

As before, the rate of change of the hill is

For the blue hill, we have:

So the rate of change is

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

For the blue hill:

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Answer:

slope would be zero

Step-by-step explanation:

It is not moving on the graph

Hope this helps!

Answer:

7mm : 3000 mm ; 1 : 428 4/7

Step-by-step explanation:

Given that :

Given a drawing produced using a scale :

7 millimeters = 3 meters ; the scale factor for the drawing

Comparing units in millimeter and units on meter

1000 mm = 1 meter

Hence,

3000 mm = 3 meter

Then, we can say;

7 millimeters = 3000 millimeters

7mm : 3000 mm

Divide through by 7

1 : 428 4/7

The question is wrong bro.

If it is ....

[tex]3 {x}^{2} - 2x + 1 = [/tex]

The coefficient of x² is (( 3 ))

& the coefficient of x is (( -2 ))

_________________________________

If it is .....

[tex]3x - 2x + 1[/tex]

[tex]x + 1[/tex]

The coefficient of x² is (( zero 0 ))

& the coefficient of x is (( 1 ))

Answer: -0.55

Step-by-step explanation: We can assume we start off with 0$ of money, so if you lose 1 quarter, 2 dimes, and 2 nickels you would be 55 cents in debt, so 55 cents in debt would be -0.55. -25-20-10=-55.

Unless you are looking for the amount of money not counting whether or not you are in debt so that would just be 0.55.

Answer:

no 7+2 is 9 so yeah ;)))))))))))))))

Answer: x=2 and y=-3

Step-by-step explanation: you’re welcome

Answer: The y intercept would be different

Step-by-step explanation:

Answer:

f(7x−1)=63x−16

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1

9x = 7x + 6, 2x = 6, x = 3

Answer:

The function written in python is as follows:

import random

def simulate():

    count = 0

    for i in range(1,51):

         num = random.randint(200,1000)

         if num == 781:

              count = count + 1

    print(count)

Step-by-step explanation:

This line imports the random library

import random

This line defines the function

def simulate():

This line initializes count to 0

    count = 0

This line iterates from 1 to 50

    for i in range(1,51):

This line generates random number between 200 and 999

         num = random.randint(200,1000)

This line checks if random number is 781

         if num == 781:

If yes, the count variable is incremented by 1

              count = count + 1

This line prints the number of times 781 is generated

    print(count)

Step-by-step explanation:

Given data

old price= $35,600

new price=$30,189

Absolute change= old price -new price

Absolute change=35,600-30,189

Absolute change=5411

Relative change=(old price -new price)/old

Relative change=(35,600-30,189)/35,600

Relative change=5411/35,600

Relative change=0.151

the relative change is a percentage= 0.151*100= 15.1%

Answer:

The slope is -4

The y-int is -5

Step-by-step explanation:

The slope intercept form is structured as:

y= mx + b

Being m is the slope and b is the y-intercept.

5/4; it is an inproper fraction in a group of proper ones. it also doesnt have a 2 anywhere.

20/25; it is the only one that isnt simplified. it also has double didgits in both the numerator and denominator

Answer:

x<6/7

Step-by-step explanation:

7x/3 < 2

Multiply both sides by 3,

7x < 6

Divide both sides by 7,

x < 6/7

Answer:

x>6/7

Step-by-step explanation:

7x/3>2

Answer:b

Step-by-step explanation: