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kotykmax [81]
2 years ago
10

The weekly pay for working a job is given by the function P(h) = 15h, where "h" is the number of hours worked. The company restr

icts workers to a maximum of 40 hours per week. The tax on the pay is given by the function T(P) = 0.18P, where "P" is the weekly pay. What is the BEST description of the domain for the tax function T(P)? A) {0, 1, 2, 3, ..., 40} B) {0, 15, 30, 45, ..., 600} C) {any nonnegative real number ≤ 40} D) {any nonnegative real number ≤ 600}
Mathematics
2 answers:
Soloha48 [4]2 years ago
8 0

Answer:

The answer is D

Step-by-step explanation:

Blababa [14]2 years ago
6 0

Answer:

Either B or D.

Step-by-step explanation:

I consider both options valid. It all depends on how the employer is keeping track of time, ie if the pay "ticks" every 60 minutes, or an employee is allowed to clock in half hours.

Will I be able to work 30 and a half hour for example? If I'm allowed to, D.

If I have to work multiple of 60 minutes, B.

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The scatterplot below shows the number of weeks that students have been in keyboarding class and the number of mistakes that the
Arlecino [84]

Answer:A

Step-by-step explanation:

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6 0
2 years ago
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Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a n
Svetradugi [14.3K]

Answer:

Part a) The scale of the new blueprint is \frac{5}{8} \frac{in}{ft}    

Part b) The width of the living room in the new blueprint is 9.4\ in

Step-by-step explanation:

we know that

The scale of the original blueprint is

\frac{2}{5}\frac{in}{ft}

and

the width of the living room on the original blueprint is 6 inches

so

<em>Find the actual width of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft

<em>Find the actual length of the living room, using proportion</em>

\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft

<em>Find the scale of the new blueprint</em>, divide the length of the living room on the new blueprint by the actual length of the living room

\frac{15}{24} \frac{in}{ft}

simplify  

\frac{5}{8} \frac{in}{ft}      

<em>Find the width of the living room in the new blueprint, using proportion</em>

\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in

3 0
2 years ago
Levi bought 14 chicken wings for $22.40 how much would it cost for 12 wings
777dan777 [17]

Answer:

x =19.20

Step-by-step explanation:

We can use ratios to solve

14 wings      12 wings

------------- = ---------------

22.40          x

Using cross products

14x = 22.40 * 12

14x =268.8

Divide each side by 14

14x/14 = 268.8/14

x =19.20

8 0
2 years ago
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Which of the following lists of three numbers could form the side lengths of a triangle? <img src="https://tex.z-dn.net/?f=A.%20
yan [13]

Answer:

B. 122, 257, 137

Step-by-step explanation:

The triangle inequality rule states that the sum of any two sides of a triangle must be greater than the third side. If A, B and C are sides of a triangle then A + B > C, A + C > B, B + C > A

Testing for the options:

1) 10, 20, 30

10 + 20 (= 30) is not greater than 30. It cannot form a triangle

2) 122, 257, 137

122 + 137 (259) is greater than 257. It can form a triangle

3) 8.6, 12.2, 2.7

8.6 + 2.7 (11.3) is not greater than 12.2. It cannot form a triangle

4) 1/2, 1/5, 1/6

1/5 + 1/6 (11//30) is not greater than 1/2. It cannot form a triangle

8 0
2 years ago
What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
2 years ago
Read 2 more answers
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