the general solution to
Sin2x = Cosx+l

Answer:

The Commutative Law of Addition.

Step-by-step explanation:

Basically, this law says we can swap numbers over and still get the same number when we add. This has demonstrated exactly that.

Hope this helped!

Answer:

Associative property

Answer:

is a measure of the average absolute distance between each data value and the mean of a data set.

Formula for how high the ball rebounds on the nth bounce is 80 (3/4)ⁿ  ft and the rebound on 5th bounce is 14.24 ft.    

It is given that the ball is dropped from 80 ft and it rebounds (3/4)th of the height it has fallen.

Firstly , using logic ,

The height reached by the ball on its 1st rebound = 80(3/4) = 60 ft

Similarly , calculating on it's 2nd rebound = 60(3/4) = 45 ft

and on 3rd rebound = 45(3/4) ft.

This forms a sequence , known as GP (Geometric Progression).

A Geometric Progression in mathematics, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Hence , here the first term : a = 60 ft

and common ratio is : r = 3/4

the general term for rebound on nth bounce

= 60 * (3/4)ⁿ⁻¹  = 80 (3/4)ⁿ  ft

Using the above expression , the rebound on 5th bounce                             = 60 * (3/4)⁵ = 14.24 ft.

To know more about Geometric Progression, go to

brainly.com/question/4853032

#SPJ4

This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.

The total number of raffle tickets sold at the end of 9 years is approximately 9,818.  

To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.

Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.

Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4

Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92

Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666

Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)

Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56

The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.

The correct option is 9,818.

For more questions on raffle tickets

https://brainly.com/question/2083262

#SPJ8

Answer:

The first table is correct!

Step-by-step explanation:

If you divide the Y-var by they by the X-var you would get 12 (as an answer) for all of them...which makes them proportional, YW! :D

Table 1

\(\\ \rm\Rrightarrow \dfrac{84-48}{7-4}=\dfrac{108-84}{9-7}\)

\(\\ \rm\Rrightarrow 12=12\)

Hence verified

Answer:

Step-by-step explanation:

Answer:

Rs 57750

Step-by-step explanation:

width =5 m

length of first parallel road 70 m

area of first road 70×5=350 sq.m

length of second road 45 m

area of second road =45×5=225 sq.m

area of the common part of cross road with 5 m width that lies at the

center of the park 5×5 = 225 sq.m

area of roads = area of first road +area of second cross road−common area

=(350+225)−25

=575−25

=550sqm

​

cost of the construction per sq.m =Rs.105

total cost =550×105=Rs 57750

Answer:

where

Step-by-step explanation:

where are the problems i dont see them explain to me

Answer:

well im not sure about 1 and 3 but i think for number 2 it would be 18 games in total

Step-by-step explanation:

Answer:

Genotype: 100% rr
phenotype: 100% white

Step-by-step explanation:

since there are no dominant genes the cross will definitely be a rr genotype

for me i think and calculated 9 levels

Answer:

x = 11

Step-by-step explanation:

The two angles measuring (7x + 14)° and (9x - 8)° are corresponding angles, which are always congruent to each other and thus equal to each other.  

Step 1:  Thus, we can find the value of x by setting the two angles equal to each other:

7x + 14 = 9x - 8

7x + 22 = 9x

22 = 2x

11 = x

Optional Step 2:  We can check that we've found the correct answer by plugging in 11 for x in both (7x + 14) and (9x - 8) and checking that we get the same number:

7(11) + 14 = 9(11) - 8

77 + 14 = 99 - 8

91 = 91

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

Learn more about sine of angles on https://brainly.com/question/22649800

#SPJ1

Answer:

see image

Step-by-step explanation:

one by one, move each point

there are 84 different area codes possible with this plan.

Why it is and what is a code?

There are 7 possible choices for the first digit, 3 possible choices for the second digit and 7 - 3 = 4 possible choices for the third digit. So, using the multiplication principle, the total number of possible area codes is:

7 x 3 x 4 = 84

Therefore, there are 84 different area codes possible with this plan.

A code is a set of symbols or instructions used to represent information or instructions in a form that is understood by a computer or other device. It is a system of rules or algorithms used to convert information or data into a specific format for transmission, storage, or processing.

Codes can be used for a variety of purposes, such as programming, encryption, decoding, or data compression, among others. They are a fundamental component of modern computing and digital communication systems.

To know more code related question visit:

https://brainly.com/question/17204194

#SPJ1

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

\(=\frac{5000}{100}*8\\ =400\)

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

\(=\frac{5400}{100}*8\\ =432\)

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

To know more about interest rate visit:

https://brainly.com/question/13324776?referrer=searchResults

#SPJ1

The agent will get $47.2746 for his commission.

So, we have to take out 6% of $787.91 in order to obtain the commission of the agent.

Then,

Therefore, $47.2746 will the agent get for his commission.

Know more about percentages here:

https://brainly.com/question/24304697

#SPJ9

Answer:

our first questions about the steepness of a surface: starting at a point on a surface given by f(x,y)f(x,y), and walking in a particular direction, how steep is the surface? We are now ready to answer the question.

We already know roughly what has to be done: as shown in figure 14.3.1, we extend a line in the xx-yy plane to a vertical plane, and we then compute the slope of the curve that is the cross-section of the surface in that plane. The major stumbling block is that what appears in this plane to be the horizontal axis, namely the line in the xx-yy plane, is not an actual axis—we know nothing about the "units'' along the axis. Our goal is to make this line into a tt axis; then we need formulas to write xx and yy in terms of this new variable tt; then we can write zz in terms of tt since we know zz in terms of xx and yy; and finally we can simply take the derivative.

So we need to somehow "mark off'' units on the line, and we need a convenient way to refer to the line in calculations. It turns out that we can accomplish both by using the vector form of a line.♡

69200000 in scientific notation is  6.92 × 10⁷.

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Scientific Notation is a special way of writing numbers:

For example 800 is written as 8 × 10² in Scientific Notation.

Therefore, let's write the scientific notation of the number 69200000.

Hence,

69, 200, 000 = 6.92 × 10⁷

The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.

learn more on scientific notation here:https://brainly.com/question/10386920

#SPJ1

Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

What is measurement?

An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.

Given:

Elena has a pet parakeet that weighs 6 when measured in one unit and

170 when measured in a different unit.

We have to find the correct units from grams and ounces for these.

We know that, 1 ounce is greater than 1 gram.

1 ounce = 28.3495 grams

Multiply both sides by 6.

6 ounces = 170.097 grams

Approximate the values to the nearest whole number.

6 ounces = 170 grams

Therefore, 6 ounces = 170 grams.

Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.

To know more about measurement, click on the link

https://brainly.com/question/25770607

#SPJ1

The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.

The length is the quantitative measurement of a distance from one point to another position.

Length can also refer to the size of an object that has width or/and height.

The square of 2,200m² = 46.9 meters (√2,200)

The square of 2,400m² = 48.99 meters (√2,400)

The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.

Thus, the possible value of the side length of the plot of land is A. 48 meters.

Learn more about calculating possible side lengths at https://brainly.com/question/17139119

#SPJ1

A. 48 meters

B. 46 meters

C. 44 meters

D. 50 meters

Answer:

I think its 19.75

Answer: 56.52mm

Step-by-step explanation:

First, you have to find the circumference of the wheel and divide it by 25 since the spokes are equally spaced.

The equation for the circumference of a circle is:

C = 2πr

C = 2 x π x 225

C = 1413

Then, you divide it by 25

1413/25 = 56.52

Expression for given numerical is: 9+ (2/x)

Given that we have an word equation that is 9 more than the quotient of 2 and  x

A quotient is a quantity produced by the division of two numbers.

Quotient of 2 and x is \(\frac{2}{x}\).

Nine(9) more  than 2/x is = 9+ (2/x)

So we have an expression that is:

              9+ (2/x)                          

learn more about quotient on brainly.com/question/16134410

#SPJ9

Answer:

You pay 67.5 for the shoes.

Step-by-step explanation:

10% of 75 is 7.5.

75 - 7.5 = 67.5

Please Mark Brainliest!

Answer:

Here ya go! Hope it helps