Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it.

volume of cylinder = pi x r^2 x height

 using 3.14 for pi

volume = 3.14 x 12^2 x 30 = 13564.8 cubic feet

 D is the correct answer

Final answer:

The expression x^3 - 9 is indeed a polynomial because it consists of a variable raised to a non-negative integer exponent and a constant. The highest power of the variable is 3, which makes the degree of the polynomial also 3.

Explanation:

To determine whether the expression x^3 - 9 is a polynomial and to state its degree, we need to look at the characteristics of polynomials. A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

The expression in question, x^3 - 9, fits this definition because it involves a single variable x raised to a non-negative integer exponent (3), and a constant term (-9).

Next, to identify the degree of the polynomial, we look for the highest power of the variable in the expression. The highest power of x in x^3 - 9 is 3. Therefore, this expression is indeed a polynomial, and its degree is 3.

The correct answer to the question is: a. yes, 3.

Final answer:

The identity sin x cos x tan x cot x = 1 is false. By using the definitions of tan and cot, we can show that sin x cos x tan x cot x simplifies to sin x cos x.

Explanation:

The student has asked to prove or disprove the identity sin x cos x tan x cot x = 1. To verify this identity, we need to remember the definitions of the trigonometric functions. The tangent (tan) of an angle is the ratio of the sine (sin) to the cosine (cos) of that angle, and the cotangent (cot) is the reciprocal of the tangent.

Therefore, tan x = sin x / cos x, and cot x = cos x / sin x. When we multiply tan x by cot x, we get:

tan x × cot x = (sin x / cos x) × (cos x / sin x) = 1

Now, multiplying this result by sin x cos x gives:

sin x cos x tan x cot x = sin x cos x × 1 = sin x cos x

Therefore, the correct equation is sin x cos x tan x cot x = sin x cos x, which means the correct answer is:

(C) the identity is false. sin x cos x tan x cot x = sin x cos x

Answer:

its b

Step-by-step explanation:

I just did the assignment

Answer:

It is 52 degrees

Step-by-step explanation:

In a rhombus each diagonal bisects a pair of opposite angles.

Angle JKN is half of angle JKL

Angle JKN = 52°

Solution:

Drawn an equilateral triangle of side 2 inches.

One side is parallel to Bottom of page.

Then from the center of the right side draw two parallel lines an inch apart and an inch long.

Then drawn a line from the end of one of the parallel lines to the end of the other parallel line.

The Arrow is pointing in East of South or South of East and North of West or West of North Direction.

The smaller number is 1 and the larger number is 3.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Let the numbers be x and y.

The sum of two numbers is twice their difference.

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

The larger number is 2 more than twice the smaller.

That means,

y = x + 2.

Then,

(x + x + 2) = 2(x + 2 - x)

2x + 2 = 4

x = 1

And y = 3

Therefore, the numbers are 1 and 3.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ2

Answer:

It's actually this

Step-by-step explanation

(told it to convert to rectangular form)

The complex number 5/2(cos 150° + i sin 150°), in the form a + bi, can be written as -(5√3)/4 +i(5/4).

Complex numbers are used to define imaginary numbers, that is, the square roots of negative numbers. √-1 is represented as i.

In the question, we are given a complex number 5/2(cos 150° + i sin 150°), and are asked to represent it in the form a + bi.

We know that complex numbers can be written in two forms, a + bi or r(cos θ + i sin θ).

The relation between these are:

r² = a² + b²,

a = r cos θ, b = r sin θ,

tan θ = b/a.

So, comparing 5/2(cos 150° + i sin 150°), to r(cos θ + i sin θ), we can say that r = 5/2, and θ = 150°.

Therefore, a = r cos θ = (5/2) cos 150° = (5/2) (-cos 30°) = -(5√3)/4

b = r sin θ = (5/2) sin 150° = (5/2) sin 30° = 5/4.

Therefore, the complex number 5/2(cos 150° + i sin 150°), in the form a + bi, can be written as -(5√3)/4 +i(5/4).

Learn more about complex numbers at

https://brainly.com/question/10662770

#SPJ2

The example of conditional probability is Probability of getting an A on a test, given that you didn't fail the test.

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

For Conditional probability, the event should be dependent events.

Also, the probability of an event and the condition is that the other event has already been occurred.

Here, in Probability of getting an A on a test, given that you didn't fail the test is  example of conditional probability because  " you didn't fail the test " already occurred and now find the probability of getting A.

Learn more about conditional probability here:

https://brainly.com/question/1523913

#SPJ5

Answer:

Correct option is D.

Step-by-step explanation:

we have to choose the option for which number produces a rational number when added to 0.6

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or finite(infinite then repeating). If they aren't, then these are called irrational numbers.

Let's try each of the choices:

A. The term 0.5050050005... is irrational number. Now, when 0.6  is added to it, the sum would be irrational.

B. √2 is an irrational number because its exact value is 1.4142135.. Even if you add 0.3 to it, the answer would still be irrational

C. Obviously, π is an irrational number and addition of rational to irrational always results in irrational.

D. The term [tex]\frac{5}{7}[/tex] is a rational number. Now, when 0.6 or [tex]\frac{6}{10}[/tex] is added to it, the sum would be [tex]\frac{92}{70}[/tex] This is a rational number.

Therefore, the answer is D.