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Vinvika [58]
4 years ago
9

Please help and please tell me how you got the answer will mark brainliest

Mathematics
1 answer:
valentinak56 [21]4 years ago
6 0

Answer:

Steve's pay is the highest and is equal to 55 dollars per hour.

The column for pay corresponding to 1 hour is $55.

Step-by-step explanation:

Geeta's pay:

The equation for Geeta's pay is given as:

p=75+45h

Where, 'p' is in dollars and 'h' is in hours.

The above equation is a linear equation of the form y=mx+b, where 'm' is the rate of change of pay or the pay per hour.

So, the pay per hour of Geeta is 45 dollars.

Richard's pay:

The graph of Richard's pay is a straight line. The slope of the line gives the rate of change of pay or the pay per hour.

The slope of the line is given as:

Slope = Rise over run = \frac{80-50}{1-0}=30 dollars per hour.

So, Richard's pay per hour is 30 dollars.

Steve's pay:

The table of hours and pay is given.

The rate of change or pay per hour can be obtained by using two values of both hours and pay.

Consider h=3\ and\ h=5 and p=165\ and\ p=275

Now, pay per hour = \frac{275-165}{5-3}=\frac{110}{2}=55 dollars

Therefore, Steve's pay per hour is 55 dollars.

The column for pay corresponding to 1 hour is $55.

On comparing, Steve's pay is the highest and is equal to 55 dollars per hour.

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Answer:

r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m

If we convert the height to meters like this:

h = 9.6 cm *\frac{1m}{100 cm}= 0.096m

And we want to find the volume of the cone and is given by:

V = \pi r^2 h

And replacing we got:

V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3

Step-by-step explanation:

For this case we have a right circular cone with a height of 9.6cm and a base with a diameter of 2.9m. We can find the radius like this:

r = \frac{D}{2}= \frac{2.9m}{2}= 1.45 m

If we convert the height to meters like this:

h = 9.6 cm *\frac{1m}{100 cm}= 0.096m

And we want to find the volume of the cone and is given by:

V = \pi r^2 h

And replacing we got:

V = \pi (1.45m)^2 (0.096m) =0.634 m^3 \approx 0.6 m^3

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If
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It's easy to show that 7\tan(4x) is strictly increasing on x\in\left[0,\frac\pi8\right]. This means

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and

m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7

Then the integral is bounded by

\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)

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Step-by-step explanation:

so,

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now we need to transform this equation that actually x is calculated out of y.

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=> for a formal function definition

y = (-x + 2)/9

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