if tan 0 =-3/4 and 0 is in quadrant IV, what is cos 20 & tan 20

Answers

Answer 1

Using Trigonometric ratios, Tan(20 ) = -24/7 and cos(20) = 7/25

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.

It can be simpler to use a calculator when necessary. (See under)

The reference angle will be less than 45° since the magnitude of the tangent is less than 1. If the angle is less than 90 degrees when doubled, it will remain in the fourth quadrant, where the tangent is negative and the cosine is positive.

Additionally, you can use the identities.

cos(2) is equal to (1 - tan()2)/(1 + tan()2).

cos(2θ) = (1 -(-3/4)²)/(1 +(-3/4)²) = ((16-9)/16)/((16+9)/16)

cos(2θ) = 7/25

Tan(2)=2tan()/(1 -tan(2)2) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)

tan(2θ) = -24/7

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Related Questions

What is the solution to y 6 =- 3y 26?.

Answers

The solution to y+6 =- 3y-26 is 8.

The solution to the equation y+6 =- 3y-26 is to solve for y. This can be done by rearranging the equation and combining like terms. The equation can be rearranged to -3y-y+6 = -26.

Combining the like terms yields -4y+6 = -26.

To solve for y, subtract 6 from both sides.

These yields -4y = -32.

Finally, divide both sides by -4 to obtain y = 8.

Therefore, the solution to the equation y+6 =- 3y-26 is y = 8.

Understanding the solution to an equation is a critical part of algebra and can be used to solve a variety of problems. There are many methods for solving equations, and it is important to understand each type and how to employ them appropriately. Solving equations like y+6 =- 3y-26 requires rearranging the equation and combining like terms to obtain the solution. Once the equation is in a simpler form, the solution can be found by applying basic math operations.

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Can some please help I need to get this answer?

Answers

The hypotenuse square in a right-angled triangle is equal to the sum of the squares of the two shorter sides, according to the Pythagorean theorem.

Pythagoras, a Greek philosopher who was born around 570 BC, is honored in the name of the theorem. Perhaps more than any other mathematical theorem, the theorem has been demonstrated numerous times using a variety of techniques. There are many different types of proofs, some of which go back thousands of years, including both geometric proofs and algebraic proofs.

The Pythagorean relation holds true when Euclidean space is represented by a Cartesian coordinate system in analytical geometry: the squared distance between two points equals the sum of squares of the difference in each coordinate between the points.

[tex]c=\sqrt{ a2+b2}= \sqrt{ 3.92+82}=8.9[/tex]

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a pet store gives away 3 dog treats with every food bowl sold. write an expression to represent this situation please help asap tysm

Answers

Y = 3X

Y is the amount of dog treats given away
X is the amount of food bowls sold

Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. What will the account balance be after 5 years?

Answers

The balance in the account of Jayden after 5 years will be $3,886.27.

What is compound interest?

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Jayden invests $2,644.93 in a retirement account with an interest rate of 8% compounded annually. Then the amount after 5 years is calculated as,

A = $2,644.93 x (1 + 0.08)⁵

A = $2,644.93 x (1.08)⁵

A = $2,644.93 x 1.469

A = $3,886.27

The balance in the account of Jayden after 5 years will be $3,886.27.

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What’s 900+900
Just doing this cause it’s fun

Answers

1800??????????? We love fun
900+900=1800 :D !!!!!!!!!!!!!!!!

How do i solve this?

Answers

Answer:

x = 45/2 or 22.5

Step-by-step explanation:

Since we are given CDE ~ KLM, we know that C is similar to K, D is similar to L, and E is similar to M. The problem asks to find DE, so by comparison, it is known that DE is similar to LM.

From the two triangles, KM is similar to CE, and we can see that the ratio between the two is 8:15. We are given LM, which is 12, so we can find x using this equation to compare the smaller triangle to the bigger one:

KM/CE = LM/DE

Plug in your given values:

8/15 = 12/x

Find x:

x = 45/2 or 22.5

Is the inverse of a function always a function example?.

Answers

Every function has an inverse, but not every inverse will be a function.

A function takes a starting value, performs some operation on this value, and creates an output answer.

The inverse function takes the output answer, performs some operation on it, and arrives back at the original function's starting value.

An inverse relation is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function.

A function is a one-to-one function if and only if each second element corresponds to one and only one first element.

Example:

consider the inverse of the function an f(x)=2x-4.

y=2x-4

x=y-4

x+4=y

f⁻¹(y)=x+4

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What is the value of ƒ(g(3)) when ƒ(x) = x³ + 5x² − 2x − 1 and g(x) = x² –
- -
- 4?

Answers

The value of the function ƒ(g(3)) is 239, when  ƒ(x) = x³ + 5x² − 2x − 1  and g(x) = x² – 4.

What is function?

A function is an equation with just one solution for every value of y in the equation. A function pairs each input of a particular type with exactly one output.

Instead of y, it is typical to name functions f(x) or g(x). f(2) instructs us to calculate the value of our function when x is equal to 2.

We have given to find ƒ(g(3))

when ƒ(x) = x³ + 5x² − 2x − 1

and g(x) = x² – 4

When g(3) = (3)² – 4

= 9 - 4

= 5

For

ƒ(g(3)) = (5)³ + 5(5)² − 2(5) − 1

= 125 + 125 - 10 - 1

= 239

Thus, the value of the function ƒ(g(3)) is 239, when  ƒ(x) = x³ + 5x² − 2x − 1  and g(x) = x² – 4.

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A bracelet has two colors of beads. The ratio of green beads to blue beads is 2:7. There are 18 green beads. How many beads are there in total?

Answers

63
hope this helps
Good luck

Answer:

81 Bead in total

Ratio: 18:63

Step-by-step explanation:

2*9 = 18

7*9 = 63

What is 30% of 85  URGENT

Answers

Answer: 30 percent of 85 is 25.5

Answer:

the answer is 25.5

Step-by-step explanation:

this is because 85 in our question is equivalent to thus you just need to cross multiply

Use the Distributive Property to simplify the expression.


9(2n+1) =


PLs help me fast .

Answers

To distribute,

multiply 9 times 2n plus 9 times 1.

9*2n+9*1

18n+9 is your final answer.

Best wishes!

In a certain tate about 3/5 of regitred voter particated in 2016 election what fraction of regitred voter did not

Answers

The fraction of registered voter that did not participate was 2/5

What is a fraction?

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

To solve this exercise we have to perform a mathematical operation with fractions:

Information about the problem:

Total = 1Registered voter participated= 3/5No. did not participate = ?

Calculating the fraction of the registered voter that did not vote we get:

No. did not participate = Total - Registered voter participated

No. did not participate = 1 - 3/5

No. did not participate = (5 - 3) /5

No. did not participate = 2/5

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There are 16 ounces in one pound.

A box of nails weighs 4 pounds. Using

the variable w. Write and solve a

division equation to find how many

ounces the box weighs.

Answers

According to the equation, the weight of box in ounces is 64.

Firstly let us represent the weight of box with w. Now, the formula to be used for calculation of the weight of box is -

The weight of box in ounces = weight of box in pounds × number of ounces in one pound/one

Keeping the values in formula to find the value of weight of box in ounces.

The weight of box in ounces = 4 × 16/1

Performing multiplication and division on Right Hand Side of the equation to find the weight of box in ounces

The weight of box in ounces = 64 ounces

Thus, the weight of box in ounces is 64.

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The ratio of peanuts to raisins is 2:8. What percent of the peanuts and the raisins are peanuts? I need this ASAP.

Answers

Step-by-step explanation:The ratio of peanuts to raisins is 2:8, which means for every 2 peanuts there are 8 raisins. To find the percentage of peanuts, we need to divide the number of peanuts by the total number of peanuts and raisins and then multiply by 100.So, 2 peanuts / (2 peanuts + 8 raisins) * 100 = 20%.Therefore, 20% of the peanuts and raisins are peanuts.

Answer:

20%

Step-by-step explanation:

2+8=10

10*10=100

2*10=2

Please can you give me brainliest?

A plane rises from​ take-off and flies at an angle of 14 with the horizontal runway. When it has gained 950 ​feet, find the​ distance, to the nearest​ foot, the plane has flown.

Answers

The distance, to the nearest foot, the plane has flown is 3926.887 feet.

What are Angles?

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians

The horizontal runway, the distance plane flied and the height gained forms a right angled triangle.

Let x be the distance plane flied.

Height gained = 950 feet

Angle that plane makes with the horizontal runway = 14°

Sin 14 = Opposite side / Hypotenuse

Sin 14 = 950 / x

x = 950 / sin 14

x = 3926.887 feet

Hence the distance plane flied is 3926.887 feet.

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What are the 4 properties of multiplication examples?.

Answers

The 4 properties of multiplication are Associative Property, Commutative Property, Distributive Property, and Identity Property.

The properties of multiplication are particular rules that are used while multiplying numbers. These properties help simplify expressions easily and, hence, have a significant role in solving all kinds of mathematical expressions, whether algebraic expressions, fractions, or integers.

Associative Property: (P × Q) × R = P × (Q × R)

For example, (4 × 5) × 3 = 4 × (5 × 3) = 60.

Commutative Property: P × Q = Q × P

For example, 3 × 4 × 2 = 2 × 3 × 4 = 24.

Distributive Property: P(Q + R) = PQ + PR; P(Q - R) = PQ - PR

For example, 3(2 + 4) = (3 × 2) + (3 × 4) = 6 + 12 = 18.

Identity Property: P × 1 = P

For example, 4 × 1 = 4, or 1 × 27 = 27.

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a+b=b-a
what are some numbers to make this equation true?​

Answers

Answer:

b =0nand a =0 simple beacaes3 0-0=0and 0+0=0

The ratio of markers to crayons in an artist's collection is 4:3. Which of the following ratios is equivalent to 4:3?

Answers

Answer:

A

Step-by-step explanation:make brainiest

How do you solve systems by elimination with multiplication?.

Answers

To solve the given system of equations using elimination method following steps need to follow:

Equate the coefficient in opposite sign by multiplying the equation by required number for the variable you want to eliminate.

As given in the question,

Steps required to solve the given system of equations by elimination method with multiplication:

To eliminate x-term equate the coefficient of x in opposite sign.

4x + 3y = 1  __(1)

3x + 4y = 1  __(2)

1. Multiply 3 to (1) and -4 to (2)  to eliminate the x-term.

12x + 9y = 3  __(3)

-12x - 16y = -4   __(4)

2. Now add (4) from (3)  and eliminate x-term.

12x + 9y = 3  

-12x - 16y = -4

0x -7y = -1

⇒ y = 1 / 7.

Therefore, solution of the system of equation using elimination method with multiplication is:

Equate the coefficient in opposite sign by multiplying the equation by required number for the variable you want to eliminate.

The above question is incomplete , the complete question is :

How do you solve systems of equations by elimination method with multiplication?.

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Use 4 of the 5 numbers shown to make the equations true.

Each number can be used only once.

Answers

The answers to the two blank portions are, √64 = 8 and ∛1000 = 10.

What are surds and indices?

We are aware that there are two different sorts of radicals. Surds are created when a number is raised to a power that makes it greater than zero but less than one. Indices are created when a number is raised to a power that makes it bigger than one.

We know 10×10 = 100.

10¹×10¹ = 100.

10² = 100.

√100 = 10.

Similarly ∛1000 = 10.

As ∛1000 = ∛(10×10×10) = ∛10³ = 10.

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What is range and X range?.

Answers

The range of a set of numbers is the difference between the maximum and minimum values in the set.  X range is a type of range chart used to identify patterns in data points over a period of time.

The Range of a dataset is determined by subtracting the smallest value from the largest value in that dataset, providing an indication of the total spread of the data points. Range is a useful metric for understanding the variability of data points and for comparing different datasets.

X Range is a type of range chart used to identify patterns in data points over a period of time. It is a graphical representation of the range of data points and can help to identify trends and seasonal patterns. X Range charts are particularly useful for understanding how data points fluctuate over time, and can be used to identify any outliers in the data that may require further investigation.

X Range charts can be used to identify any clusters of data points, and to compare different data sets. X Range charts are also useful for understanding the overall volatility of a dataset and for making predictions about future data points.

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Which equation is true?

A.
3
4
=
9
16
B.
6
8
=
4
3
C.
3
5
=
8
10
D.
12
16
=
36
48

Answers

Answer: a and c

Step-by-step explanation:

Which data set could be represented by the boxplot shown?

A. {6, 6, 8, 8, 9, 12, 13, 13, 14}
B. {6, 6, 7, 9, 9, 12, 13, 14, 16}
C. {6, 7, 8, 9, 10, 11, 12, 13, 14}
D. {6, 7, 9, 9, 9, 12, 13, 14, 14}

Answers

A data set which could be represented by the boxplot shown include the following: A. {6, 6, 8, 8, 9, 12, 13, 13, 14}.

What is a box-and-whisker plot?

In Mathematics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided above, the five-number summary for the given data set include the following:

Minimum = 6First quartile = 7.Median = 9.Third quartile = 13.Maximum = 14.

For the median, we have:

Median = 6, 6, 8, 8, 9, 12, 13, 13, 14

Median = 9.

In conclusion, we can logically deduce that the median of the given data set is equal to 9 while the first quartile is 7 and the third quartile is 13.

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For what values of k is the quadratic equation 9x2?.

Answers

The possible values of k for the quadratic equation 9x² - 5kx + 1 = 0 has equal roots are 6/5 and -6/5.

The standard form of an quadratic equation is, ax² + bx + c = 0, a ≠ 0 and a,b,c --> constants. The quadratic formula for solution of above equation is, x = ( - b ±√b² - 4ac)/2a , where Discriminate, D is equals to b² - 4ac . We have an quadratic equation, 9x² - 5kx + 1 = 0 --(*)

Step 1 : Determining the discriminant of the quadratic equation : After comparing the equation (*) with standard one , a = 9 , b = - 5k and c = k . So, discriminate formula , D = b² - 4ac

=> D = (- 5k)² - 4×9×1

=> D = 25 k² - 36

Step 2: Determining the values of k : We have equation (*) has equal roots then according to the nature of the roots of an quadratic equation When the value of discriminant, D = 0, then the quadratic equation has real and equal roots.

So, 25 k²- 36 = 0

=> 25 k² = 36

=> k² = 36/25

=> k = ±√36/25

=> k = ± 6/5

Hence, the values of k are ± 6/5.

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Complete question:

For what values of k is the quadratic equation 9x² - 5kx + k = 0, has equal roots?

A pharmaceutical company wants to test the effectiveness of a new allergy drug. The company identifies 250 females​ 30-35 years old who suffer from severe allergies. The subjects are randomly assigned into two groups. One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug. After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ (a) through​ (c) below.

Answers

After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

What is the hypothesis?

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

The average temperature during the winter in the Arctic tundra i -34C. You can convernt Celete C to degree farenhite F uing the formula F=9\5C 32

Answers

The average temperature during the winter in the Arctic tundra i -34C which is also 93.2 degrees Fahrenheit

The difference between the freezing point of water and its boiling point at normal atmospheric pressure is divided into exactly 100 equal parts to determine the temperature in degrees Celsius (degrees). Water has a freezing point set at 0° and a boiling point set at 100°.

Therefore, a 100°C difference is precisely equivalent to a 180°F difference. As a result, each degree in Celsius is equivalent to 1.8 degrees Fahrenheit.

The 34 Celsius to Fahrenheit formula is a linear function:

[°F] = ([34] x 9 ⁄ 5) + 32.

Therefore, we get:

34 C to F = 93.2 °F

34 °C in °F = 93.2 Fahrenheit

34 C in F = 93.2 degrees Fahrenheit

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FV of $600 each 6 month for 4 year at a nominal rate of 8%, compounded emiannually. Do not round intermediate calculation. Round your anwer to the nearet cent

Answers

The future value of the $600 invested semi-annually at 8% nominal interest rate for 4 years is $1369.44 rounded to the nearest cent.

The formula to use in this case is FV = PV(1 + r/n)^nt, where FV is the future value, PV is the present value, r is the nominal interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given the information in the problem, we know that:

PV = $600 (the present value)

r = 0.08 (the nominal interest rate as a decimal)

n = 2 (the interest is compounded semi-annually)

t = 4 (the number of years)

Plugging these values into the formula, we get:

FV = $600(1 + 0.08/2)^(2*4)

To solve for FV, we need to calculate (1 + 0.08/2)^(2*4)

= (1.04)^8

=2.2824

FV = $600*2.2824

FV = $1369.44

Thus, the future value of the $600 invested semi-annually at 8% nominal interest rate for 4 years is $1369.44 rounded to the nearest cent.

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PV = $600 (the present value)

r = 0.08 (the nominal interest rate as a decimal)

n = 2 (the interest is compounded semi-annually)

t = 4 (the number of years)

Plugging these values into the formula, we get:

FV = $600(1 + 0.08/2)^(2*4)

To solve for FV, we need to calculate (1 + 0.08/2)^(2*4)

= (1.04)^8

=2.2824

FV = $600*2.2824

FV = $1369.44

Select the correct answer

Nia wants to check whether the finance charge applied in her credit card statement is correct. To do this, she needs to calculate the average daily

balance in her account for the previous billing cycle. She made a table to do the calculation. The billing cycle is 31 days

What was Nia's average daily balance in this billing cycle?

Balance

Days

7

10

$745. 00

$585. 15

$245 20

$90. 75

A. $13,420. 00

B. $13,418. 00

c. $800. 00

D. $432. 84

E. $430. 48

Answers

The Nia's average daily balance in this billing cycle was equals to the $432.85. So, correct choice is option(D).

Nia wants to check whether the finance charge applied in her credit card statement is correct or not. For this she made a table to do this calculation. The billing cycle is 31 days is present in above figure. We have to calculate the Nia's average daily balance in billing. Average daily balance of Nid is represented by:

Average mean = (Days x Balance)/Total Number of days

So, Days × balance = (745.0 x 7) + (1555. 15 × 10) + (245.20 × 7) + (90.75 × 7)

= 5215 + 5851.5 +1716.4 + 635.25

= $13418.15

Total number of days = 7+ 10 + 7 + 7 = 31 days

Hence, the Average = 13418.15/31

= $432.84

Hence, required average daily balance is $432.84.

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1. You have always wanted to learn how to juggle, so you decide to buy a brand new chainsaw that retails for $153. If sales tax is 6%, what is the total price you pay?

2. You are a real estate agent, and you sell your client's house for $350,000, earning a 5% commission. How much did you earn?

3. You fail out of school and are forced to become a traveling hamster salesperson. You earn 4% commission on all sales, and after two grueling weeks you manage to sell $710 worth of product. How much do you make?

Answers

Answer:

1. The total price you pay is $162.18

2. You earn $17,500

3. You earn $28.40

Step-by-step explanation:

1. 153 times 6% or 153 times 0.06 = 9.18

153 + 9.18 = 162.18

2. 350,000 times 5% or 350,000 times 0.05 = 17500

3. 710 times 4% or 710 times 0.04 = 28.4

Subtract 33 1/3% of 36 from 50% of 88.
Add explanation.

Answers

The value of the expression is 32.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

50% of 88 - 33(1/3)% of 36

This can be written as,

= 50/100 x 88 - (100/3)/100 x 36

= 44 - 12

= 32

Thus,

The value is 32.

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I NEEED HELP AASAP IM BEGGING MATH 10TH GRADE PROVE CIRCLES ARE SIMILAR URGENT PLEASE HELP I NEED IT RN! THANKS7. Critique Reasoning Julio states that he can use the SAS Triangle CongruenceTheorem to prove that two right triangles are congruent. He constructs two righttriangles to have congruent hypotenuses and one set of congruent legs. What doesJulio need to do in order to use the SAS Triangle Congruence Theorem? Explain yourreasoning How to determine whether krnl has been patched or not? What is an impact of a food allergy on someones life? What is the slope of the line 3x 7y 9?. a nurse is providing teaching about lifestyle modifications to address a client's pelvic organ prolapse. the nurse understand that the majority of these changes focus on: What are the main points in Trifles?. Bill's Hardware is a hardware store in a small community. Bill Snyder is the owner, and he employs 11 people who work various hours, six days a week. Bill has software that tracks his inventory, finances, and so on.Which of the following is data (not information) you might expect to find?a. Bill pays his employees 11 holidays.b. The employees at Bill's Hardware make an average of $11.30 per hour.c. Bill's employees work an average of 31 hours a week.d. The customers who shop at Bill's Hardware average one visit every 27 days. Gaseous ammonia chemically reacts with oxygen O2 gas to produce nitrogen monoxide gas and water vapor. Calculate the moles of water produced by the reaction of 0.070mol of ammonia. Be sure your answer has a unit symbol, if necessary, and round it to the correct number of significant digits. when evaluating the impact of a single writer on the history of a cause or issue, you should read the author's own words because which of the following is a chemical change?group of answer choicesO ice melting O ice being carvedwaterO boiling water O breaking down into hydrogen and oxygen to complete the project you will use two templates (i.e., a word and an excel template). both templates can be found in the project templates section below. these two documents contain important information that will guide you with the assignment and help you brainstorm how to improve the basic information provided in the weekly getta byte project videos. the course project is divided into four parts. part 1 includes sections a and b. this deliverable is due in week 2. part 2 includes sections c and d. this deliverable is due in week 4. part 3 includes sections e and f. this deliverable is due in week 6. part 4 includes section g and the compilation of sections a through g. this deliverable is due in week 8 and must be compiled into a single word document. the sine of the angle at a is equal to side bc divided by side ab. the sine of angle a is therefore equal to: As a quartz pebble is transported by a stream, thepebble will become more rounded as a result ofA) dissolving as water is running over the rockB) abrasion by colliding with other rocksC) deposition in well-sorted layersD) resistance to weathering and erosion which of the following compounds has the strongest intermolecular forces? group of answer choices c7h16 c8h18 c9h20 c5h12 c6h14 What animals don't feel pain?. Choose the three items that correctly describe "salutary neglect" with regards to american history. Write the polynomial expression is which the GCF of is factored from the polynomial 24x^(3) - 8x^(2) + 4 the bug has the greater acceleration because it has the smaller massthe windshield has the greater acceleration because it has the greater massthey both have the same magnitude of acceleration The numeric components of the electric field in a region of space can be calculated using the equations E; fzy and Ey (0, Y) and (X,Y) ? Which of the following expressions vields the potentia difference between the points (0,y) and (x,Y)a. -6yb. 6yc. -3x^2yd. 3x^2ye. 3x^2y-6