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galina1969 [7]
3 years ago
7

a worker's earring E are a function of the number of hour, H at a rate of 12/hr. write a function tule for the solution. How man

y hours would a person have to work to earn 384?
Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

E=12(H)

A person should work 32 hours to earn $384

Step-by-step explanation:

A worker's earring E are a function of the number of hour, H at a rate of 12/hr.

We need to write the function.

The function will be:

Earning is represented by E and Hour is represented by H

E=12(H)

Now, How many hours would a person have to work to earn 384

We are given E=384, we need to find H

Putting values in above function and finding hours H

E=12(H)\\384=12(H)\\H=\frac{384}{12}\\H= 32

So, A person should work 32 hours to earn $384

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Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due
ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

        Formula :   d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

      Formula : D=\sqrt{(x2-x1)^2+(y2-y1)^2}

⇒                     D = \sqrt{20^2t^2+15(t-1)^2}

Now let           F(t) = D^2(t)

                ∵    F'(t) = 800t + 450(t-1) =  1250t -450\\F'(t) =0

⇒                     t= 450/1250

⇒                     t= .36 hours

⇒                       = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0
3 years ago
NEED HELP NOW!!!
Amiraneli [1.4K]

<em><u>D.</u></em><em><u> </u></em>

<em><u>Explanation</u></em><em><u>:</u></em>

<em><u>a landscape of farmland bisected by long straight roads"</u></em>

<em><u>divide into two parts.</u></em>

<em><u>hope</u></em><em><u> I</u></em><em><u> help</u></em><em><u> you</u></em><em><u> ☺️</u></em><em><u>❤️</u></em>

<em><u>:</u></em><em><u>)</u></em><em><u> </u></em><em><u> </u></em><em><u>:</u></em><em><u>></u></em>

8 0
2 years ago
Given h(x) = -5x + 3, find h(5).
cluponka [151]

Answer:

h(5) = -22

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

h(x) = -5x + 3

h(5) is x = 5

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function]:                                                                                h(5) = -5(5) + 3
  2. Multiply:                                                                                                             h(5) = -25 + 3
  3. Add:                                                                                                                   h(5) = -22
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Neporo4naja [7]
Answer to 1: 648
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3 years ago
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What is the midpoint of a segment whose endpoint are (13,-24) and (-17,-6) ?
dolphi86 [110]
The midpoint is (-2, -15)

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3 years ago
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