The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

Given :

An equation 2cot x = -3sec x .

To Find :

the values of x in [0, 360°) which satisfy the given equation.

Solution :

Converting cot x and sec x in the form of sin x and cos x.

[tex]\dfrac{2cos \ x}{sin\ x}= \dfrac{-3}{cosx}\\\\2cos^2 x +3 sin\ x =0\\\\2( 1 - sin^2 x ) + 3sin \ x = 0 \\\\2sin^2 x -3sin\ x -2 = 0\\\\2sin^2\x -4sin\ x + sin\ x -2 = 0\\\\2sin\ x( sin\ x - 2 )+ 1( sin \ x - 2 ) = 0\\\\sin \ x = \dfrac{-1}{2} \ or\ sin \ x = 2[/tex]

Neglecting sin x = 2 because sin x cannot be greater than 1.

x = π - π/6, π + π/6

x = 5π/6 and x = 7π /6

Therefore, the values of x in [0,360°) is  5π/6 and x = 7π /6 .

Answer:

Work = Force × distance = 500 × 15 = 7,500 J.

Hope this helps! Merry Christmas and Happy New Year!

Total work done by pushing the car for a distance of 15 m using a force of 500 N is 7500 Joule.

The total work done can be derived in terms of the products of force applied and the total distance covered.

Therefore,

Total work done = force × distance = 500 × 15 N-m = 7500 Joule

Hence, 7500 Joule work is done.

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Step-by-step explanation:

3^(-3) * 10^(-2)

= 1/27 * 1/100

= 1/2700.

Answer:

1/2700

Step-by-step explanation:

3^-3=1/3^3

10^-2=1/10^2

1/3^3 x 1/10^2 = 1/2700  or .00037

Answer:

$20,240

Step-by-step explanation:

Multiply 22,000 by 0.92% since if you subtract 0.08 which is equivalent to 8% from 1, you would need that percentage to get to your final answer which is $20,240.

Another option is to do the same thing except multiply 22,000 by 0.08% in which $1,760 is being cut off as it decreases.  Subtract that number from $22,000 to get the same answer mentioned earlier.

Answer:

$20,240

Step-by-step explanation:

This is a simple interest formula.

$22,000*(8%/100%) = $1760

$22,000-$1760 = $20,240

Answer:

There is no variable factor common to 24a and 6

Step-by-step explanation:

First number = 24a

Other number = 6

Pime factorisation of 24a = 2×2×3×2×a

Pime factorisation of 6= 3×2

Common factors = 6

Hence, there is no variable factor common to 24a and 6, Other common factor is 6.

Answer:

4 - 2m + 3

Step-by-step explanation:

when you distribute the negative sign you will get this

Answer:

B on Edge

Step-by-step explanation:

Answer:

X= 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two shapes are similar

As per similarity, the corresponding sides have same ratio. Knowing the ratio we can find the value of the side x:

Answer:

2 is the value that provides the same result with f(x) and g(x).

Step-by-step explanation:

You can solve this by saying:

f(x) = g(x)

and then solving for x.

So let's do it:

[tex]f(x) = g(x)\\-0.5x + 2 = 2x - 3\\2x + 0.5x = 2 + 3\\2.5x = 5\\x = 2[/tex]

This tells us that when x = 2, the two functions will have identical values.  Let's try them out to confirm it!

f(x) = -0.5x + 2

f(2) = -0.5 * 2 + 2

f(2) = -1 + 2

f(2) = 1

g(x) = 2x - 3

g(2) = 2 * 2 - 3

g(2) = 4 - 3

g(2) = 1

So we can see that 2 is the value that produces the same result in both charts.

The input value that produces the same output value in both charts is 2. so the correct answer is option D.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

here, we have,

You are given two functions  f (x) = -0.5X +2 and g(x) = 2x - 3

x      f(x)

-3     3.5

-2     3

-1     2.5

0     2

1      1.5

2     1

3     0.5

The second table is given below:-

x      g(x)

-3      

-2      

-1      

0    

1      

2      

3      

We will put the points and will find the value of functions:-

g(-3) = 2(-3) - 3 = -6 -3 = -9

g(-2) = 2 -(-2) -3 = -7

g(-1) = 2( -1) -3 = -3

g(0) = 2 - 0  - 3 = -3

g(1) = 2.1 - 3 = -1

g(2) = 2.2 -3 = 1

g(3) = 2.3 -3 = 3

Hence the second table will be

x      g(x)

-3      -9

-2      -7

-1       -5

0       -3

1        -1

2       1

3       3

The input value that produces the same output value in both charts is 2.

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Answer:

0.05n + 0.10 d =24.40

Step-by-step explanation:

Nickel is worth 0.05 of a dollar(1)

The system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week is:

n + d = 368

0.05n + 0.10d = 24.40

The number of nickels and dimes Anthony saved at the end of the first week can be determined using two equations. This is known as simultaneous equations.

The total number of nickels and dimes in the jar is 368. This can be represented with the equation:

nickels + dimes = 368

n + d = 368. This would be the first equation.

A nickel is equal to 0.05 of a dollar and a dime is equal to 0.1 of a dollar. The total sum of money in the jar is $24.40. This means that the value of dimes and nickels in the jar is $24.40. This can be represented with the equation: 0.05n + 0.10d = 24.40. This is the second equation.

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Answer:

135

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

3³ · (12 - 2) ÷ 2

Step 2: Evaluate

Answer:

ounces

Step-by-step explanation:

moat likely ounces because of the size of the ring

The correct answer from the choices listed above is the first option, ounces.

Weight is the measure of the force of gravity acting on a body.

The weight of a gold ring most likely is expressed in ounces. The weight of gold is measured in troy ounces (1 troy ounce = 31.1034768 grams), but its purity, or "fineness" has been measured in a few different ways: "parts fine," "% gold", and carats.

Hence, the answer is ounces.

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900 hope this helped

Answer:

I believe the answer is c hope this helps

Answer:

D

Step-by-step explanation:

Answer:

i think its D! pls let me know if im wrong.

Step-by-step explanation:

Answer:500 miles

Step-by-step explanation:

Answer:

$7.198 * 10^6

Step-by-step explanation:

Given that :

Total Area of Alaska = 5.9 * 10^5 mi²

Cost of Alaska per square mile = $12.20

Total amount paid to purchase Alaska:

(Total area in square miles * Cost per square mile)

(5.9 × 10^5) * $12.20

(5.9*12.20) * 10^5

71.98 * 10^5 dollars

= $7.198 * 10^6

Hence, amount the United States paid Russia for the purchase of Alaska is approximately $7.198 * 10^6

Answer:

1. Write the expression:       (5.9 × 105)(12.2)

2. Multiply the decimal values:      

✔ 71.98

× 105

3. Write in scientific notation:      

✔ 7.198

×  

✔ 10 to the sixth power

The United States paid Russia approximately  

✔ $7,200,000

for Alaska.

Step-by-step explanation:

Answer:

Step-by-step explanation:

52/-4 = -13

khdsylye

Answer:

I got 52!

Step-by-step explanation:

I searched it up to confirm it! C:

Answer:

[tex]4x+8y= 1848\\\\x+y= 283[/tex]

Step-by-step explanation:

Step one:

The admission price for children is $4

The admission price for adults is $8

Let be the number of children and

let y be the number of adults.

The total amount the theater collects in admissions for the day is $1848.

4x+8y= 1848-----------1

The total number of visitors is 283.

x+y= 283----------------2

Step two:

the system of equation for the situation is

4x+8y= 1848

x+y= 283

Answer:

10

Step-by-step explanation:

refer attachment for detailed answer

Answer:

C

Step-by-step explanation:

Answer:

1. B

2. A

3.C

Step-by-step explanation:

Answer:

3x/4 - 17

Step-by-step explanation:

Answer:

ca=14

Step-by-step explanation:

Answer: 275$

I'm not entirely sure I did this right! But at least try!!!

Step-by-step explanation:

20/100 = 55/x (cross multiply)

20x = 5,500 (divide)

X = 275

The original price of the pair of jeans is $ 68.75

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The sale price of the jeans = $ 55.00

The discounted percentage of the pair of jeans = 20 %

Let the original price of the jeans be = A

To calculate the original price of the jeans ,

Original price of the jeans A will be discounted percentage less than and is equal to the sale price of the jeans

So ,

Original price of the jeans A - discounted percentage of the pair of jeans = Sale price of the jeans

And ,

A - ( 20/100 ) A = 55

( ( 100A - 20A ) / 100 )A = 55

(80/100 ) A = 55

( 4/5 ) A = 55

Multiply by 5/4 on both sides , we get

A = ( 55 x 5 ) / 4

A = 275/4

A = $ 68.75

Therefore , Original price of the jeans A = $ 68.75

Hence , the original price of the jeans is $ 68.75

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Answer:

a. 25/33

b. 36

c. 1/15

d. 35/12

e. 19/12

Answer:

The answer is X > 1 hope that helps!

Step-by-step explanation:

Answer:

f=2

Step-by-step explanation:

hope this helps you

Answer:

2^4

Step-by-step explanation:

16 = 2x2x2x2 = 2 to the power of 4

Answer:

2^4

Step-by-step explanation:

Hope this helped have an amazing day!

9514 1404 393

Answer:

  C  none of the above

Step-by-step explanation:

We can simply drop the parentheses and collect terms.

  2r +(t +r) = 2r + t + r = (2r +r) +t

  = 3r +t