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2 years ago

7. Simplify this what’s the answer?

Mathematics

1 answer:

trasher [3.6K]2 years ago

3 0

first the square root of 4 is 2 so we can sub that in.

now we have 2(2*2)^-2.

2 * 2 of course is 4

with 2(4)^-2, keep in mind that negative exponents just mean to "flip" the number and turn the exponents positive.

so 4^-2 is the same as 1/4^2 or 1/16.

finally 1/16 * 2 = 2/16. 2/16 simplified is 1/8.

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2 years ago

Read 2 more answers

At 7:00 a.m., Alicia pours a cup of tea whose temperature is 200°F. The tea starts

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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

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2 years ago