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erastova [34]
3 years ago
6

Lesson 2: Semester B Exam Algebra 1 B Unit 7

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:these weren’t all right

Step-by-step explanation:

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A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much ca
Alex787 [66]

Answer:

∴35.97 mg caffeine would be left in the system after 5 hours.

Step-by-step explanation:

Given that,

A cup of coffee has approximately 310 mg of caffeine.

Caffeine decrease at a rate 35% per hour.

Exponential Function:

y(t)=y_0(1-r)^t

y(t)= Amount caffeine after t hours

y_0= Initial amount of caffeine

r= rate of decrease

t = Time in hour.

Here y(t)=?, y_0 = 310 mg, r=35%=0.35, t= 5 hours

y(t)=310(1-0.35)^5

      =35.97 mg

∴35.97 mg caffeine would be left in the system after 5 hours.

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3 years ago
Which graph shape represents the polar curve r = 1 + 4sin(θ)?
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Answer:

A cardioid

Step-by-step explanation:

A cardioid is a curve in the shape of a heart traced by a point on the circumference of a circle as it rolls around a fixed circle of the same radius.

The equation of vertical cardioid is r=a ± a\sin \theta

Given the polar curve is r= 1+ 4 \sin \theta

This is an equation of vertical cardioid.

So, it represents a cardioid.

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Option D!

Step-by-step explanation:

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