If y(x)=1/3cos^34x,then dy/dx is​

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Answer 1
Answer:

Answer:

(dy)/(dx)=-4\cos^(2)  4x \sin4x

Step-by-step explanation:

We have y=f(x)=(1)/(3) \cos^(3) 4x and we have to find (dy)/(dx)

Now,y=f(x)=(1)/(3) \cos^(3) 4x  

Differentiating both sides of the equation with respect to x we get,

(dy)/(dx) = (1)/(3) * 3 * \cos^(2) 4x * (-\sin4x) * 4 {Since we know the formula(dx^(n) )/(dx) =nx^(n-1)and another formula(d(\cos x))/(dx) = -\sin x}

(dy)/(dx)=-4\cos^(2)  4x \sin4x ( Answer )


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A teaspoon of common table salt contains about 2,000 mg of sodium. how many grams of sodium is this?

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Answer:

2 grams

Step-by-step explanation:

multiply by 1000

What is the greatest common factor of 8 and 9

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The greatest common factor of 8 and 9 is 1. The largest positive integer that divides two numbers without producing a remainder is known as the greatest common factor (GCF).

We have the numbers 8 and 9 in this instance. We must uncover the elements that both numbers have in common and choose the biggest one to determine their GCF. In comparison to the factors of 9, which are 1, 3, and 9, the factors of 8 are 1, 2, 4, and 8.

The highest positive integer that divides both 8 and 9 is 1, hence the only factor they have in common is that. Therefore, 1 is the number that connects 8 and 9 most frequently.

To know more about factor :

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Answer:The factors of 8 are: 1, 2, 4, 8

The factors of 9 are: 1, 3, 9

Then the greatest common factor is 1.

Step-by-step explanation:How to Find the Greatest Common Factor (GCF)

There are several ways to find the greatest common factor of numbers. The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result.

Factoring

To find the GCF by factoring, list out all of the factors of each number or find them with a Factors Calculator. The whole number factors are numbers that divide evenly into the number with zero remainder. Given the list of common factors for each number, the GCF is the largest number common to each list.

Example: Find the GCF of 18 and 27The factors of 18 are 1, 2, 3, 6, 9, 18.

The factors of 27 are 1, 3, 9, 27.

The common factors of 18 and 27 are 1, 3 and 9.

The greatest common factor of 18 and 27 is 9.

Example: Find the GCF of 20, 50 and 120

The factors of 20 are 1, 2, 4, 5, 10, 20.

The factors of 50 are 1, 2, 5, 10, 25, 50.

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.

The common factors of 20, 50 and 120 are 1, 2, 5 and 10. (Include only the factors common to all three numbers.)

The greatest common factor of 20, 50 and 120 is 10.Prime Factorization

To find the GCF by prime factorization, list out all of the prime factors of each number or find them with a Prime Factors Calculator. List the prime factors that are common to each of the original numbers. Include the highest number of occurrences of each prime factor that is common to each original number. Multiply these together to get the GCF.

You will see that as numbers get larger the prime factorization method may be easier than straight factoring.

Example: Find the GCF (18, 27)

The prime factorization of 18 is 2 x 3 x 3 = 18.

The prime factorization of 27 is 3 x 3 x 3 = 27.

The occurrences of common prime factors of 18 and 27 are 3 and 3.

So the greatest common factor of 18 and 27 is 3 x 3 = 9.

Example: Find the GCF (20, 50, 120)

The prime factorization of 20 is 2 x 2 x 5 = 20.

The prime factorization of 50 is 2 x 5 x 5 = 50.

The prime factorization of 120 is 2 x 2 x 2 x 3 x 5 = 120.The occurrences of common prime factors of 20, 50 and 120 are 2 and 5.

So the greatest common factor of 20, 50 and 120 is 2 x 5 = 10.

Please help with these math questions

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3) A
slope= (y2-y1)/(x2-x1)
(1--5)/(4-1)
6/3=2

4) 5/8
slope= (y2-y1)/(x2-x1)
(-1-4)/(-8-0)
-5/-8=5/8

5) 1/2
2x-4y=10
Change it into slope intercept form
-4y=-2x+10
y=1/2x-10/4
slope=m=1/2

Hope this helps. 

Two angles are supplementary. One angle measures 90 degrees. What is the measurement of the other angle? A.90 B.10 C.100 D.0PLEASEEEE HURRY

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Answer:

it will have to be 90 degrees, because two angles that are supplementary add up to be 180 degrees so 90 + 90 is 180. hope this helps

Step-by-step explanation:

How is the Pythagorean theorem related to the distance formula? Explain.

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The distance formula is used to find the distance between two points and the Pythagoras theorem is used to find the missing length in a right-angled triangle.

What is Pythagoras's Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y)

D = √((x-p)^2 + (y-q)^2) \: \rm units.

The distance formula is a formalization of the Pythagorean Theorem using (x,y).

The distance formula is used to find the distance between two points and the Pythagoras theorem is used to find the missing length in a right-angled triangle.

So, they are the same thing in two different contexts.

Learn more about Pythagoras' theorem here:

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Answer:

The distance formula is a formalisation of the Pythagorean Theorem using (x,y) . They are the same thing (but the distance formula is for working out the distance between two points and Pythagoras theorem is for working out the missing length in a right-angled triangle) in two different contexts.

Step-by-step explanation:

Three coins, a quarter, nickel and penny, are tossed. What is the probability that all three coins will show heads. Show in an organized list.

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Since all of the coins only have 2 sides, heads or tails, the equation will be: 1/2 * 1/2 * 1/2  = Answer.  Multiply the probability of getting a head for 1 coin by 3 since there are 3 coins. The probability of having all three heads will be 1/8.