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allsm [11]
2 years ago
10

INTERPRETATIONS OF THE DEFINITE INTEGRAL: Solar photovoltaic (PV) cells are the world’s fastest growing energy source. In year (

t) since 2007, PV cells were manufactured worldwide at a rate of S=3.7e^(0.61t) gigawatts per year. Estimate the total solar energy-generating capacity of the PV cells manufactured between 2007 and 2010. Round your answer to 3 decimal places.
Mathematics
1 answer:
bezimeni [28]2 years ago
7 0

Answer:

  31.747 GW

Step-by-step explanation:

The total cell capacity (C) manufactured in the time period is the integral of the rate of manufacture. So, we have ...

  C=\displaystyle\int\limits^3_0 {3.7e^{0.61t}} \, dt=\frac{3.7}{0.61}(e^{0.61\cdot 3}-1)\approx 31.747 \quad\text{GW}

About 31.747 GW of generating capacity was manufactured in that time interval.

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Which shows the best path to convert 100 liters to pints?
marishachu [46]

The best way to convert this is A-Liters-Cups-Pints

-Steel jelly

3 0
2 years ago
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A driver brings a car to a full stop in 2.0s. It’s acceleration is -11 m/s^2. How far did the car travel while braking
tensa zangetsu [6.8K]

Answer:

  22 m

Step-by-step explanation:

The distance traveled is ...

  d = (1/2)at^2

where "a" is the magnitude of the acceleration.

  d = (1/2)(11 m/s^2)(2 s)^2

  d = 22 m

The car traveled 22 meters while braking.

6 0
2 years ago
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Diep buys a loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his sandwich. Diep
Vladimir [108]

Answer:

a

Step-by-step explanation:

After d days, the loaf of bread is 65 - 15d long.

l = 65 - 15d.

The graph is discrete, as he cannot cut the bread for 1.5 days, or cut 5cm of the bread off.

7 0
2 years ago
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23) An extension ladder forming a 60° angle with the ground is placed against
Pachacha [2.7K]

Answer: the length of the extended ladder is 8√3 feet or 13.9 feet

the distance between the wall and the bottom of the ladder is 4√3 feet or 6.9 feet

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine the extended length of the ladder h, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 60 = 12/h

√3/2 = 12/h

h = 12 × 2/√3 = 24√3

h = 24√3 × √3/√3

h = 8√3

To determine the distance between the wall and the bottom of the ladder d, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse.

Therefore,

Cos 60 = d/8√3

0.5 = d/8√3

d = 0.5 × 8√3

d = 4√3

3 0
2 years ago
In a study of crime, the FBI found that 13.2% of all Americans had been victims of crime during a 1-year period. This result was
Mkey [24]

Answer: The lower bound of confidence interval would be 0.116.

Step-by-step explanation:

Since we have given that

p = 13.2%= 0.132

n = 1105

At 90%  confidence,

z = 1.645

So, Margin of error would be

z\sqrt{\dfrac{p(1-p)}{n}}\\\\=1.645\times \sqrt{\dfrac{0.132\times 0.868}{1152}}}\\\\=0.0164

So, the lower bound of the confidence interval would be

p-\text{margin of error}\\\\=0.132-0.0164\\\\=0.116

Hence, the lower bound of confidence interval would be 0.116.

3 0
2 years ago
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