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3 years ago

Convert x = 4 to polar form

Mathematics

1 answer:

dezoksy [38]3 years ago

4 0

Answer: r = 4 sec θ

Explanation: Using: x = r cos θ then r cos θ = 4 ⇒ r = 4 cos θ = 4 sec θ

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Allison earns $14 an hour plus $20 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the w

Ronch [10]

Part a) Create an equation that shows the amount of money earned, E, for working x hours in a week when there is no overtime

Let

E-------> the amount of money earned

x------> number of hours worked

we know that

For $x\leq35$

$E=14x$

therefore

the answer part a) is

$E=14x$

Part b) Create an equation that shows the amount of wages earned, T, for working y hours of overtime

Let

T-------> the amount of money earned

y------> number of hours of overtime

we know that

$T=14*35+20y$

$T=\$490+20y$

therefore

the answer part b) is

$T=\$490+20y$

Part c) Allison earned $610 in 1 week. How many hours (regular plus overtime) did she work?

we know that

$35\ hours=\$490$

$\$610-\$490=\$120$

Divide $\$120$ by $\$20$ ----> to obtain the hours of overtime

$\frac{120}{20}=6\ hours\ of\ overtime$

Allison works

$35+6=41\ hours$

$Regular=35\ hours\\ Overtime=6\ hours$

therefore

the answer part c) is

$Regular=35\ hours\\ Overtime=6\ hours$

4 0

3 years ago

45 POINTS!! Please help me solve this Table I’m having a hard time this is my last chance to pass!

Anettt [7]

Solution:

Given function:

f(x) = x - 1

Solution (x = -2):

f(x) = x - 1
=> -2 - 1
=> -3

Solution (x = 0):

f(x) = x - 1
=> 0 - 1
=> -1

Solution (x = 2):

f(x) = x - 1
=> 2 - 1
=> 1

Solution (x = 3):

f(x) = x - 1
=> f(x) = 3 - 1
=> 2

8 0

2 years ago

Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number.

Setler79 [48]

Answer:

14 ounces

Step-by-step explanation:

16 ounces = 1 pound

Multiply the above equation by 7/8:

(7/8)(16 ounces) = (7/8)(1 pound)

14 ounces = 7/8 pound

5 0

3 years ago

3x+47y=1094 Solve for y.

padilas [110]

Answer:

$y = \frac{1094-3x}{47}$

General Formulas and Concepts:

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

3x + 47y = 1094

Step 2: Solve for y

Subtract 3x on both sides: 47y = 1094 - 3x
Divide both sides by 47: y = (1094 - 3x)/47

8 0

3 years ago

How can you get the graphs of the equations y= 1/3x+2 and y = 1/3x-2 from the graph of y=1/3x ?

slava [35]

<h2>Hello There today we will solve your equation</h2>

Here are the graphs

6 0

2 years ago