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bazaltina [42]
3 years ago
14

Mr. Clark wants to pay for his order with a $20 bill, but Jeremy does not have change. Jeremy tells Mr. Clark he will give him t

he change later. How will this affect the total amount of money Jeremy collects? Explain. What rational number represents the change that must be made to the money Jeremy collects?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

Answer:

$20 + $-11.25 = $8.75

Step-by-step explanation:

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Step-by-step explanation:

The given expression is

(4×10^8)(4×10^-7)/(4×10^8)

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Approximate the area under the curve over the specified interval by using the indicated number of subintervals (or rectangles) a
devlian [24]

Answer:

The area under the function \int\limits^3_1 {9-x^2} \, dx \approx 7.25..

Step-by-step explanation:

We want to find the Riemann Sum for \int\limits^3_1 {9-x^2} \, dx with 4 sub-intervals, using right endpoints.

A Riemann Sum is a method for approximating the total area underneath a curve on a graph, otherwise known as an integral.

The Right Riemann Sum is given by:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)

where \Delta{x}=\frac{b-a}{n}

From the information given we know that a = 1, b = 3, n = 4.

Therefore, \Delta{x}=\frac{3-1}{4}=\frac{1}{2}

We need to divide the interval [1, 3] into 4 sub-intervals of length \Delta{x}=\frac{1}{2}:

\left[1, \frac{3}{2}\right], \left[\frac{3}{2}, 2\right], \left[2, \frac{5}{2}\right], \left[\frac{5}{2}, 3\right]

Now, we just evaluate the function at the right endpoints:

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f\left(x_{3}\right)=f\left(\frac{5}{2}\right)=\frac{11}{4}=2.75

f\left(x_{4}\right)=f(b)=f\left(3\right)=0=0

Next, we use the Right Riemann Sum formula

\int\limits^3_1 {9-x^2} \, dx \approx \frac{1}{2}(6.75+5+2.75+0)=7.25

7 0
3 years ago
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