For a particular angle theta, the cosine function f(x)=a cos b(theta) has the following values with in one cycle of the function. f(0)=4; f(pi/4)=0; f(pi/2)=-4; f(3pi/4)=0; f(pi)=4 what is the rule for the cosine function? a. y=2 cos 4theta b. y=4 cos 2theta c. y=-4 cos 3theta d. y= 1/4 cos 2theta

Answers

Answer 1

Answer: Hello,

Answer B

y=4 cos(2θ)
Indeed,
cos 0=1 ==>to make 4, a=4

cos (Π/4)=√2 /2 Or cos (π/2)=0==> b=2

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Assume each variable has a different value. Which relations below are functions? a. {(a, b), (a, c), (a, d), (a, e)} b. {(a, b), (b, b), (c, b), (d, b)} c. {(a, b), (c, d), (e, f), (g, h)} d. {(a, a), (b, c), (c, c), (d, e)}A. choice a only

B. choices b and c only

C. choice c only

D. choices b, c, d only

Answers

A function is a relation in which every input value x has at most one output value y.

Consider all options:

a. Relation {(a, b), (a, c), (a, d), (a, e)} is not a function, because input value a has four different output values b, c, d and e.

b. Relation {(a, b), (b, b), (c, b), (d, b)} is a function, because every input value a, b, c and d have at most one output value b.

c. Relation {(a, b), (c, d), (e, f), (g, h)} is a function, because every input value a, c, e and g have at most one output value b, d, f and g, respectively.

d. Relation {(a, a), (b, c), (c, c), (d, e)} is a function, because every input value a, b, c and d have at most one output value a, c, c and e, respectively.

Answer: correct choice is D

i think its D but im not 100% sure let me know if its right

A number divide by 3 algebraic expression

Answers

An algebraic expression is with numbers.
Set the number as x.
So the expression would be:
x/3

Hope this helps :)

All paper money in the United States is the same size no matter what the value is. Paper money has an area of about 15.86 square inches and a length of about 6.1 inches. What is the width of paper money?inches

Answers

Your answer is about 2.6 inches. I hope I did this right because I want to help

How do i do this ????????????

Answers

Answer:

3.5

Step-by-step explanation:

4x < 14

To solve this inequality, we need to isolate x.
Since there are no complicated steps to it, we simply need to divide 14 by 4:

14 ÷ 4 = 3.5

So x = 3.5

Taylor charges $15 for the first hour of dog walking and $10 for each additional hour or fraction of an hour. The rates that Lucy charges for x hours of dog walking are modeled with the function shown.f(x) = LaTeX: \lbrace{LaTeX: \begin{matrix}\text{20x, 0 ≤ x ≤ 2}\\\text{10x, 2 4}\end{matrix}20x, 0 ≤ x ≤ 2 10x, 2 4

Who will charge more to walk a dog for 2.5 hours, Taylor or Lucy? How much more?

Who?:

How much more?:

Answers

Answer:

Taylor will charge more by $15

Step-by-step explanation:

Given

Taylor

First Hour = $15

Hourly Rate = $10

Lucy:

$f(x) = \left \{ {{20x,\ 0 \le \ x \ \le 2} \atop {10x, x>2}} \right.$

For a dog walk of 2.5 hours.

Taylor's charges is:

$Charges = First\ Hour + Hourly\ Rate * 2.5$

$Charges = \$15 + \$10 * 2.5$

$Charges = \$15 + \$25$

$Charges = \$40$

Lucy's charges is:

Here, we consider

$f(x) = 10x$ Because $x > 2$

i.e 2.5 > 2

So, Lucy's charges is:

$Charges = 10 * \$2.5$

$Charges = \$25$

By comparison;

Taylor will charge more by $15

The difference is calculated by:

$Difference = \$40 - \$25$

$Difference = \$15$

Which number line represents the solution set for this inequality?

−9x −12 ≤ 42

Answers

Number line 4 will represent the solution set of given inequality

−9x −12 ≤ 42.

What is inequality?

When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.

Given:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x ≤ 54

-9x/-9 ≤ 54/-9

x ≤ -6

To know more about inequality please visit:

brainly.com/question/28823603

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Answer:

Number line 4

Step-by-step explanation: