PROVE THAT:

cos 20° - sin 20° = ​​ \sqrt{2}sin25°

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]

First, use the co-function identity:

[tex]\sin(90-x)=\cos(x)[/tex]

We can turn the second term into cosine:

[tex]\sin(20)=\sin(90-70)=\cos(70)[/tex]

Substitute:

[tex]\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]

Now, use the sum to product formulas. We will use the following:

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

Substitute:

[tex]\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)[/tex]

Use the even-odd identity:

[tex]\sin(-x)=-\sin(x)[/tex]

Therefore:

[tex]\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)[/tex]

Replace the second term with the original term:

[tex]\cos(20)-\sin(20)=\sqrt{2}\sin(25)[/tex]

Proof complete.


Related Questions

Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

A. The slope of f(x) is greater than the slope of g(x).

B. The slope of f(x) is less than the slope of g(x).

C. The slope of f(x) is equal to the slope of g(x).

D. The slope of g(x) is undefined ​

Answers

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.

a graph of a line labeled f of x passing through 0, negative 1 and 3, 1

x g(x)

0 2

3 4

6 6

Slope is defined as the change of the y axis to the z axis of a plane.

Slope = ∆y/∆x

Slope = y2-y1/x2-x1

For f(x) with coordinates (0, -1) and (3,1)

x1 = 0, y1 = -1, x2 = 3 and y2 = 1

Slope of f(x) = 1-(-1)/3-0

Slope = 1+1/3

Slope = 2/3

For g(x), we will choose any two of the coordinates from the table. Using the coordinates (3,4) and (6,6)

x1 = 3, y1 = 4, x2 = 6 and y2 = 6

Slope of g(x) = 6-4/6-3

Slope of g(x) = 2/3

It can be seen that the value of both slopes are equal. Hence, the slope of f(x) is equal to the slope of g(x) is the correct option.

Answer:

The answer is C. The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

Did the test.

I need help ASAP!!

Can someone explain this? And answer it? I am so confused!!

Answers

Answer:

Step-by-step explanation: hope this helps

Please answer these 3 questions for 70 points 1 thanks 5 stars and brainiest

Answers

Answer:

Step-by-step explanation:

Problem 14: Mean 5.5, Range: 5.8

Problem 15: question #1 4, mode: 63

Probelm 16: Median 63, Range:  8.3

Answer:

14: Mean is 5.5 Hours

Range is 7.9 Hours

15: 4 Numbers

Mode is 6.3

16: Median is 6.3

Range is 8.3

Step-by-step explanation:

(I'll edit in the explanations momentarily)

The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.

Answers

Answer:

$86.40

Step-by-step explanation:

The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the

entire month). Water costs 0.20 dollars per liter.

How much did Trevor's family pay per minute on shower water

Average person=72 liters of water

6 people=72*6= 432 liters

Each person = 480 minutes

6 people=480*6= 2,880 minutes

Water=$0.20 per liter

Total cost of water= 432 * 0.20

= $86.40

Answer:

o.o3

Step-by-step explanation:

Which of the following describes a change in a shape's position or size?
A. reflection symmetry
B. image
O C. transformation
D. rotational symmetry

Answers

Answer:

The correct option is;

C. Transformation

Step-by-step explanation:

In mathematics, transformation refers to the relocation of an object called the pre-image from initial position to another new location at which point the object will be known as the image whereby there is a one to one mapping from each point on the pre-image to the image

The types of transformation includes reflection, rotation, and translation which involve changes in position and dilation, which involves changes in the size of the pre-image.

If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 100 satisfies the above conditions?

Answers

Answer:

91

Step-by-step explanation:

Look at multiples of 7 and you’ll find 91.

91 dived by 3 is 30 with a remainder of 1.

91 divided by 5 is 18 with a remainder of 1.

91 divid by 7 is 13 with no remainder.

91 is the number between 1 and 100 satisfies the above conditions

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that a number is divided by 3 or 5, the remainder is 1.

If it is divided by 7, there is no remainder

We need to find the number between 1 and 100 which satisfies the given conditions.

Let us consider 91.

When 91 is divided by 3 we get 30 and 1 as remainder.

91 divided by 5 is 18 with a remainder of 1.

91 divided by 7 is 13 it does not have any remainder or remainder is zero.

Hence, 91 is the number between 1 and 100 satisfies the above conditions

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

How to find the area of the shaded region

Answers

Answer:

61 cm^2.

See below.

Step-by-step explanation:

PLEASE ANSWER!!! Select the correct answer from each drop-down menu. Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.

Answers

Function transformation involves changing the position of a function.

The graph of g(x) is the graph of f(x) translated 2 units right, and [tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]

The function is given as:

[tex]\mathbf{f(x)=3x + 1}[/tex]

The graph of g(x) passes through (2,1) and (0,-5).

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{-5-1}{0-2}}[/tex]

[tex]\mathbf{m = \frac{-6}{-2}}[/tex]

[tex]\mathbf{m = 3}[/tex]

The equation is then calculated as:

[tex]\mathbf{g(x) = m(x -x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]

By comparing [tex]\mathbf{f(x)=3x + 1}[/tex] and [tex]\mathbf{g(x) = 3(x -2) + 1}[/tex]

The graph of f(x) is shifted 2 units to the right

Read more about function transformation at:

https://brainly.com/question/13810353

Simplify 2√28 - 3√63. I will give BRAINLIEST!

Answers

[tex]2\sqrt{28}-3\sqrt{63}=2\sqrt{4\cdot7}-3\sqrt{9\cdot7}=4\sqrt7-9\sqrt7=-5\sqrt7[/tex]

Which geometric figure has 120 rotational symmetry?

Answers

Answer:

Triangle

Step-by-step explanation:

Has 120° degrees of rotation and measure of the central angle and has 3-fold rotational symmetry

X+2/x-2 - x+3/x-1 solve ​

Answers

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[tex]x+\frac{2}{x} -2-x+\frac{3}{x} -1[/tex]

[tex]= \frac{-3x + 5}{x}[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

What is the value of x?
7
7 square root 2
14
14 square root 2

Answers

Answer:

14

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , thus

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 7[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 7 × 2 = 14

Answer:

x = 14i hope it helps :)

Step-by-step explanation:

[tex]Hypotenuse = x \\Opposite = 7\sqrt{2} \\\alpha = 45\\\\\Using \: SOHCAHTOA\\Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Sin 45 = \frac{7\sqrt{2} }{x} \\\\\frac{\sqrt{2} }{2} = \frac{7\sqrt{2} }{x} \\\\\sqrt{2x} = 14\sqrt{2} \\\\\frac{\sqrt{2x} }{2} = \frac{14\sqrt{2} }{2} \\x = 14[/tex]

please help me

Expand ( p + 6 )( p - 3 )​

Answers

Answer:

(p^2) + 3p - 18

Step-by-step explanation:

Have a nice day!

Answer:

2p+3

Step-by-step explanation:

(p+6)(p-3)

you have to open the brackets i.e

p+p+6-3

add p+p and you get 2p then you  subtract positive 6 from 3 and you get 3

so your answer will be 2p+3

The radius of the circle is increasing at a rate of 1 meter per day and the sides of the square are increasing at a rate of 3 meters per day. When the radius is 3 meters, and the sides are 20 meters, then how fast is the AREA outside the circle but inside the square changing

Answers

Answer:

The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.

Step-by-step explanation:

According to the statement of the problem, the circle is inside the square and the area inside the square but outside the circle, measured in square meters, is represented by the following formula. It is worth to notice that radius ([tex]r[/tex]) is less than side ([tex]l[/tex]), both measured in meters:

[tex]A_{T} = A_{\square} -A_{\circ}[/tex]

[tex]A_{T} = l^{2}-\pi\cdot r^{2}[/tex]

Now, the rate of change of the total area is calculated after deriving previous expression in time:

[tex]\frac{dA_{T}}{dt} = 2\cdot l\cdot \frac{dl}{dt} -2\pi\cdot r\cdot \frac{dr}{dt}[/tex]

Where [tex]\frac{dl}{dt}[/tex] and [tex]\frac{dr}{dt}[/tex] are the rates of change of side and radius, measured in meters per day.

Given that [tex]l = 20\,m[/tex], [tex]r = 3\,m[/tex], [tex]\frac{dl}{dt} = 3\,\frac{m}{day}[/tex] and [tex]\frac{dr}{dt} = 1\,\frac{m}{day}[/tex], the rate of change of the total area is:

[tex]\frac{dA_{T}}{dt} = 2\cdot (20\,m)\cdot \left(3\,\frac{m}{day} \right)-2\pi\cdot (3\,m)\cdot \left(1\,\frac{m}{day} \right)[/tex]

[tex]\frac{dA_{T}}{dt} \approx 101.150\,\frac{m^{2}}{day}[/tex]

The area inside the square and outside the circle is changing at a rate of 101.150 square meters per day.

there are 400 pages-to be read from a book.yesterday you read 1/4 of the pages. today you read 2/3 of the remains pages from the book.how many pages are left in the book

Answers

Answer:

100 pages

Step-by-step explanation:

Yesterday, there were 400 pages left unread so you read 1/4 * 400 = 100 pages yesterday. Today, there are 400 - 100 = 300 pages left unread so today, you read 2/3 * 300 = 200 pages. This means that there are 300 - 200 =   100 pages left in the book.

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $65 . For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was 1875 . What was the price of each kind of ticket?

Answers

Answer:

same day = 25

advanced = 40

Step-by-step explanation:

Let a = advanced tickets

s = same day tickets

s+a = 65

25a+35s = 1875

Multiply the first equation by -25

-25s -25a = -1625

Add this to the second equation

25a+35s = 1875

-25a -25s= -1625

---------------------------

     10s = 250

Divide each side by 10

10s/10 = 250/10

s =25

Now find a

s+a = 65

25+a = 65

a = 40

Answer: same day = 25

advanced = 40

multiple choice
a. 126 pie cm^3
b. 84 pie cm^3
c. 504 pie cm*3

Answers

Answer:

a. 126 pie cm^3

Step-by-step explanation:

Area of a circle = pi*r²

Volume = area*height

(pi*r²)*14

Since your answers are with Pi omit the Pi and times 3² * 14 = 126 pie cm³

Answer:

A. 126pi cm^3

Step-by-step explanation:

The volume of a cylinder can be found using the following formula.

[tex]v=\pi r^2 h[/tex]

First, we must find the radius. The radius is half of the diameter.

[tex]r=\frac{d}{2}[/tex]

The diameter of the cylinder is 6 cm.

[tex]r=\frac{6cm}{2}[/tex]

[tex]r= 3cm[/tex]

The radius is 3 cm.

Now, we can substitute values into the formula.

[tex]v=\pi r^2 h[/tex]

[tex]r= 3cm\\h=14 cm[/tex]

[tex]v=\pi (3cm)^2*14 cm[/tex]

Evaluate the exponent.

[tex](3cm)^2=3cm*3cm=9cm^2[/tex]

[tex]v=\pi*9cm^2*14cm[/tex]

Multiply 9 cm^2 and 14 cm

[tex]9 cm^2*14cm=126cm^3[/tex]

[tex]v=\pi*126cm^3[/tex]

The answer choices are in terms of pi, so we can simply rearrange our answer:

[tex]v=126\pi cm^3[/tex]

The volume of the cylinder is 126pi cubic centimeters and A is the correct answer.

Recall the equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day: Now, open the graphing tool and graph the equation. Use the pointer to determine how many hours of production there are in a day if the average number of non-defective refrigerators produced per hour is 15.

Answers

Answer:

The graph representing the above equation is attached below.

Step-by-step explanation:

The equation that modeled the average number of non-defective refrigerators produced per hour in terms of x, the number of hours of production per day is:

[tex]y=\frac{196-3x}{x}[/tex]

Simplify the expression as follows:

[tex]y=\frac{196-3x}{x}[/tex]

[tex]y=\frac{196}{x}-3[/tex]

The graph representing the above equation is attached below.

On moving the pointer to y = 15, it was determined that the value of x was 10.89.

The point is also plotted on the graph

Answer:

There would be 11 hours of production in a day.

Step-by-step explanation:

How do you solve
n= (2s-1)+(s-1)

Answers

Answer:

n=3s-2

Step-by-step explanation:

Step 1: Remove unnecessary parentheses (2s-1)

Step 2: Collect "Like Terms" (2s+s= 3s)

Last Step: Put them all together (n=3s - 2)

PLZ HELP! please answer both if you can!!
1. What is the area of the following triangle in square meters? Do not round your answer. A = a0 m 2

2.What is the average of the two bases in the following trapezoid in feet? 18 ft 11 ft 14.75 ft 22 ft

Answers

Answer:

0.324m^2 ; 18 ft

Step-by-step explanation:

Given the triangle :

Base (b) of triangle = 54cm

Height (h) of triangle = 1.2m

Area(A) of a triangle is given by:

0.5 * base * height

Base = 54cm = 54/100 = 0.54 m

Therefore,

A = 0.5 * 0.54m * 1.2m

A = 0.324m^2

2.) Average of the two bases in the trapezoid :

From the trapezium Given :

Base 1 = 15 feets

Base 2 = 7 yards

1 yard = 3 Feets

Therefore, base 2 in Feets = 7 * 3 = 21 Feets

Average of the two bases :

(21 Feets + 15 Feets) / 2

= 36 Feets / 2

= 18 Feets

Event A: Flipping heads on a coin #1. Event B: Flipping heads on a coin #2. What is P(A and B)?

Answers

Answer:

coin 1

Step-by-step explanation: i think this is it

Answer:

Heads is a 50, 50 situation. so 1/2 plus 1/2 is 1/4

Tell me the answer
69:?::89:36​

Answers

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A pair of opposite vertices of a square is (1, 2) and (3,4). Find the coordinates of the remaining
vertices of the square.​

Answers

Answer:

(3, 2) and (1, 4)

Step-by-step explanation:

Plot the two points on a graph.

The other two points are (3, 2) and (1, 4).

To do this with algebra, it takes a few steps.

The diagonals of a square are perpendicular and bisect each other. You are given opposite vertices, so first, find the midpoint of that diagonal.

((1 + 3)/2, (2 + 4)/2) = (2, 3)

The midpoint of the diagonal is (2, 3).

This diagonal has slope 1 and y-intercept 1, so its equation is

y = x + 1

The perpendicular bisector has equation

y = -x + 5

The two vertices we are looking for, lie in a circle whose center is the midpoint of the diagonals, (2, 3), and whose radius is half of the diagonal.

Use Pythagoras to find the diagonal's length.

2^2 + 2^2 = c^2

c^2 = 8

c = sqrt(8) = 2sqrt(2)

Half of the diagonal is sqrt(2). This is the radius if the circle.

The equation of the circle is

(x - 2)^2 + (y - 3)^2 = (sqrt(2))^2

(x - 2)^2 + (y - 3)^2 = 2

The points of intersection of this circle and the second diagonal are the two vertices you are looking for.

System of equations:

(x - 2)^2 + (y - 3)^2 = 2

y = -x + 5

Use substitution and substitute y with -x + 5 in the equation of the circle.

(x - 2)^2 + (-x + 5 - 3)^2 = 2

(x - 2)^2 + (-x + 2)^2 - 2 = 0

x^2 - 4x + 4 + x^2 - 4x + 4 - 2= 0

2x^2 - 8x + 6 = 0

x^2 - 4x + 3 = 0

(x - 3)(x - 1) = 0

x - 3 = 0   or x - 1 = 0

x = 3 or x = 1

Now we find corresponding y values.

y = -x + 5

x = 3

y = -3 + 5 = 2

This gives us (3, 2).

y = -x + 5

x = 1

y = -1 + 5 = 4

This gives us (1, 4).

Answer: (1, 4) and (3, 2)

PLS HELP I REALLY NEED IT

Answers

Answer:

x=9

Step-by-step explanation:

<B = <E  from the concurrency statement

5x = 45

Divide by 5

5x/5 = 45/5

x = 9

Answer:

Hey there!

These are similar triangles, and similar triangles have congruent angles.

Thus, we have 5x=45

Simplifying, we have x=9

Let me know if this helps :)

Convert to slope-intercept from: y-4=9(x-7)

Answers

Answer:

y = 9x - 59

Step-by-step explanation:

y - 4= 9(x-7)

y - 4 = 9x - 63

y - 4 + 4 = 9x - 63 + 4

y = 9x - 59

Answer:

Below

Step-by-step explanation:

● y-4 = 9(x-7)

Multiply 9 by (x-7)

● y-4 = 9x - 63

Add 4 to both sides

● y-4+4 = 9x-63 +4

● y = 9x - 59

if "f" varies directly with "m," and f = -19 when m = 14, what is "f" when m = 2

Answers

Answer:

f = - [tex]\frac{19}{7}[/tex]

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

- [tex]\frac{19}{14}[/tex] = k

f = - [tex]\frac{19}{14}[/tex] m ← equation of variation

When m = 2, then

f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]

how many seconds are there in a month of 30 days express it in scientific notation​

Answers

Answer: 2.592 x 10^6 seconds

Explanation:

There are 3600s in 1 hr

And 24hrs in 1 day which mean

There are 3600 x 24 = 86400s in 1 day

And one month = 30 days

86400 x 30 = 2, 592, 000s in 1 month

Write in scientific notation:

2, 592, 000 = 2.592 x 10^6

Factorise : x^2-9x-70 Step by Step​

Answers

Answer:

Step-by-step explanation:

x^2 - 9x - 70

we need to find two numbers whose sum is -9 and product id -17

The numbers are -14 and 5

By splitting the middle term,

x^2 - 14x + 5x - 70

= x ( x - 14 ) + 5 ( x - 14 )

( x + 5 ) ( x - 14 )

Hope this helps

Plz mark as brainliest!!!!!

Answer:

Step-by-step explanation:

Sum = -9

Product = -70

Factors = -14 , 5

x² - 9x - 70 = x² + 5x - 14x + (-14) * 5

                  =x(x + 5) - 14(x + 5)

                  = (x + 5)(x - 14)

I need helpp!! match the building block of geometry to the statement that defines it.

1)DIAGRAM

A)a formal statement declaring the meaning of
a word

2)DEFINITION

B)a visual tool representing mathematical
ideas to be interpreted

3)THEOREM

C)a mathematical statement proven using
postulates and definitions

4)POSTULATE

D)a mathematical statement taken as a fact

Answers

Answer:

1) [tex]DIAGRAM \mapsto B[/tex]  

2) DEFINITION [tex]\mapsto A[/tex]

3) THEOREM [tex]\mapsto C[/tex]

4) POSTULATE [tex]\mapsto D[/tex]

Step-by-step explanation:

1) DIAGRAM  B) A visual tool representing mathematical ideas to be interpreted

A diagram is the depiction or representation of information using symbols

2) DEFINITION A) A formal statement declaring the meaning of a word

A definition is a statement that outlines the meaning of a word or a group of words or a diagram, or a symbol or sign

3) THEOREM C) A mathematical statement proven using postulates and definitions

A general statement of a proposition that is by itself not evident, but given proof by a combination of postulates

4) POSTULATE D) A mathematical statement taken as a fact

An assumed truth taken as the foundation for further reasoning

Solve for x. This is for my math class, and I’ve been stuck on this for a while. Please help!

Answers

Answer:

Hey there!

Angles in a triangle add to 180 degrees.

24+134+2x=180

158+2x=180

2x=22

x=11

Let me know if this helps :)

Other Questions
Which of the following statements is true?A. Investment in another company's common stock is classified as a cash outflow from financing activities in the statement of cash flows.B. Losses on the sale of long-term assets are an adjustment reported in the operating activities section of the statement of cash flows under the indirect method.C. Dividends paid are classified as a cash outflow from operating activities in the statement of cash flows.D. Re-payment of long-term debt is classified as a cash outflow from investing activities in the statement of cash flows. * The American Diabetes Association estimates that 8.3% of people in theUnited States have diabetes. Suppose that a medical lab has developeda simple diagnostic test for diabetes that is 98% accurate for people whohave the disease and 95% accurate for people who do not have it. Themedical lab gives the test to a randomly selected person. What is theprobability that the diagnosis is correct? Explain each step. Jasmine is making 150 bracelets and she needs 26 cm of silver wire for each bracelet. She will buy either the 3.7 metre or the 10.5 metre packs. She wants to pay as little as possible for the silver wire. How much will she have to pay for the silver wire to make 150 bracelets? Un auto se mueve con MRU y recorre un espacio de 5km en un cuarto de hora (15 minutos) calcule la velocidad en m/s Directions: Deeply read Leonhardt's "The Choice Between Kneeling and Winning." After youread, answer the question: Why did Leonhardt write this? Support your answer with reasoningand evidence. Depending on the study, it is sometimes necessary for psychologists to be deceptive. Please select the best answer from the choices provided T F Why were most movies from the late 1890s until the early 1930s only filmed in black and white? The film used to make color motion pictures often overheated, which was a safety hazard, so it was generally not allowed. There were only a few people who could afford the technology to produce color motion pictures back then. Color films had to be hand-colored, frame by frame. Audiences did not want color motion pictures until later. HELP ASAP WILL MARK BRAINLIEST!!! Add or subtract. Write your answer in scientific notation. 4.2 x 10^6 1.2 x 10^5 2.5 x 10^5 3.3 x 10^9 + 2.6 x 10^9 + 7.7 x 10^8 8.0 x 10^4 3.4 x 10^4 1.2 x 10^3 Who were the first producers of rap records? how can i solve this factorial? A 6,2- P6- A 5,3 + P5 g One of the harmonics in an open-closed tube has frequency of 500 Hz. The next harmonic has a frequency of 700 Hz. Assume that the speed of sound in this problem is 340 m/s. a. What is the length of the tube If x is 5, then 6x = _____. please help >- The graph shows the weight of a jar when filled with different numbers of marbles.What does the y-intercept represent?A)The weight of the marbles without the jar.B)The weight of the jar without the marbles.C)The weight of one marble and the jar.D)The unit rate for each marble added. the indian physician sushruta wrote a medical text describing more than 300 procedures Data pertaining to a company's joint production for the current period follows Quantities produced 310 lbs. 260 lbsMarket value at split-off point . $10.2/lb. $20.4/lb Compute the cost to be allocated to Product L for this period's $792 of joint costs if the value basis is used. (Do not round intermediate calculations.) a. $295.81. b. $49619. c. $39600. d. $2,926.00. e. $962.19. Pioneer Venture Capital firm recently offered a biotech company $50 million funding in exchange for 25% of the biotech company's ownership. What is the company's implied post-money valuation For each of the following expressions, decide whether it is a polynomial. Explain your answer. 1. x2+3x12 I 2. 13x2y-9y2 3. 3x-3 4. 23t2-1t2 Name 3 Native American groups who sided with the French Need help 24 to 28 giving 30 points which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 0.5x+5y=0.5x+5y, equals, 0, point, 5, x, plus, 5 true?