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elixir [45]
3 years ago
9

Suppose the interval ​[negative 3−3​,negative 1−1​] is partitioned into nequals=44 subintervals. What is the subinterval length

Upper Delta xΔx​? List the grid points x0​, x1​, x2​, x3​, x4. Which points are used for the​ left, right, and midpoint Riemann​ sums?
Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

Answer: Δx​ = 0.5

Step-by-step explanation:

We have the interval:

​[−3​, −1​]

and we partition it into 4 equal intervals.

first, the range of our interval is equal to the difference between the extremes, this is:

-1 - (-3) = -1 + 3 = 2

Then, if we divide it into 4, we have 4 segments with a range of:

2/4 = 0.5

Then the subinterval delta is 0.5, and the 4 intervals are:

​[−3​, -2.5​],  ​[−2.5, −2​],  ​[−2​, −1.5​],  ​[−1.5, −1​]

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Step-by-step explanation:

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marshall27 [118]

Answer:

y = 16\frac{2}{3} x + 100 or y = \frac{50}{3} + 100

Step-by-step explanation:

The equation of a line is y = mx + b, with m being the slope and b being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is y = mx + 100.

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use \frac{y_{2} - y_{1}}{x_{2} - x_{1}  } to find the slope.

Let's substitute in our points.

\frac{150-100}{3-0}

Simplify.

\frac{50}{3}

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is 16\frac{2}{3}.

We'll put that in our equation for a line and...bam!

y = 16\frac{2}{3} x + 100 or y = \frac{50}{3} + 100

6 0
3 years ago
Amber cut a 20-inch board into some shorter boards.
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Answer:

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Step-by-step explanation:

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3 years ago
Miss Green tells you that a right triangle has a hypotenuse of 13 and a leg of 5 she asked you to find the other leg of the tria
Natalka [10]

Answer:

The other leg of the triangle is 12.

Step-by-step explanation:

Given:

Hypotenuse of triangle is 13 and a leg(Leg1) is 5.

Let, the other leg of the triangle (Leg2) be x.

Now, putting the formula:

(Hypotenuse)^{2}=(Leg1)^{2}+(Leg2)^{2}

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Taking square root both sides

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4 years ago
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IrinaVladis [17]

Answer:

If 55 + 5x = 0 then x = -11

Step-by-step explanation:

To find x just get it by itself

55 + 5x = 0

subtract 5x

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then divide by -5

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3 years ago
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