5.) Write an inequality that represents each statement

John grey bought a basic car for $32,750.00, with options that cost $375.00. there's a 6% sales tax in his state and a combined

Arturiano [62]

If it doesn't mean options as an added cost, it would be a total of $34,765.
If it means options as an added cost it would total to $35,140

7 0

3 years ago

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Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

Darina [25.2K]

Answer:

Given definite integral as a limit of Riemann sums is:

$\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Step-by-step explanation:

Given definite integral is:

$\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}$

Substituting (2) in above

$f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Riemann sum is:

$= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

4 0

3 years ago

In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the s

kaheart [24]

Answer:

positive slope

(0,3)

slope = 2

Step-by-step explanation:

Slope of the given line is positive

If the line is sloping upward from left to right, so the slope is positive (+).

or if the angle made by the line to the x axis is < 90 it's slope is positive.

y-intercept of the line is (0,3)
The y intercept is the point where the line crosses the y axis. At this point x = 0.
slope of the line is 2

slope = (y2 - y1) / (x2 - x1)

lines passing through points (1,5) (0,3)

slope = (3 - 5) / (0 - 1)

= -2 / -1 = 2

7 0

3 years ago

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What is the slope of the line (2,3) (1,-2)?

jarptica [38.1K]

Answer: The slope is 5

Step-by-step explanation:

You can calculate the slope of the line with this fomula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Given the points (2,3) and (1,-2), you can identify that:

$y_2=-2\\y_1=3\\x_2=1\\x_1=2$

Now, the final step is to substitute these values into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ , getting that the slope of this line is:

$m=\frac{-2-3}{1-2}$

$m=\frac{-5}{-1}\\\\m=5$

8 0

3 years ago

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Part of the student's solution for finding the quotient 288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2 Which

Neporo4naja [7]

Answer:

A. 10 + 2

Step-by-step explanation:

288 ÷ 24 is shown below. 240 ÷ 24 = 10 288 – 240 = 48 48 ÷ 24 = 2

After obtaining the quotient of 288 ÷ 24 = 10,

Multiplying the divisor 24 by 10 = 240 and subtracting 240 from 288 to obtain the remainder = 48, the divisor is again used in 48 and the quotient obtained is added to the intula quotient value of 10 ; (10 + 2) and the process repeated

6 0

2 years ago