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Lyrx [107]
3 years ago
5

Charlie makes 9 dollars for each week of work. Write an equation to represent his total pay p after working h hours

Mathematics
1 answer:
sertanlavr [38]3 years ago
3 0

Answer:

p = 9h

Step-by-step explanation:

:-)

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Answer:

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What equation has a constant of proportionality equal to 4
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3 years ago
At 7:00 a.m., Alicia pours a cup of tea whose temperature is 200°F. The tea starts
EastWind [94]

Answer:

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, y = 128(0.989)x + 72

When the temperature is 172°F we have;

170 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (170 - 72)/128

= 98/128

= 0.7656

log(0.989)ˣ = log(0.7656)

x·log(0.989) = log(0.7656)

x = log(0.7656)/log(0.989)

= 24.15 minutes

4 0
3 years ago
the area of a rectangle is 4,320 ft2. The ratio of the length to the width is 6:5. Find the length of the rectangle.
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The ratio of sides = 6/5
multiply by constant a
width=5a
length = 6a
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4320=30a^2
4320/30= a^2
144=a^2
a=12
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Length = 72
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Answer:

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Step-by-step explanation:

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