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3 years ago

A skydiving company insists

Mathematics

1 answer:

34kurt3 years ago

5 0

Answer:

A skydiving company insists that its customers weigh at least 130 pounds, but no more than 280 pounds, including parachute and other gear. If the total weight of all gear is 25 pounds, write and solve a compound inequality that represents the weight range without gear that is acceptable.

105 ≤ x ≤ 255

think this is what you meant . . .

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Which definite integral approximation formula is this: the integral from a to b of f(x)dx ≈ (b-a)/n * [<img src="https://tex.z-d

Stella [2.4K]

The answer is most likely A.

The integration interval [a, b] is split up into n subintervals of equal length (so each subinterval has width (b - a)/n, same as the coefficient of the sum of y terms) and approximated by the area of n rectangles with base (b - a)/n and height y.

n subintervals require n + 1 points, with

x₀ = a

x₁ = a + (b - a)/n

x₂ = a + 2(b - a)/n

and so on up to the last point x = b. The right endpoints are x₁, x₂, … etc. and the height of each rectangle are the corresponding y 's at these endpoints. Then you get the formula as given in the photo.

• "Average rate of change" isn't really relevant here. The AROC of a function G(x) continuous* over an interval [a, b] is equal to the slope of the secant line through x = a and x = b, i.e. the value of the difference quotient

(G(b) - G(a) ) / (b - a)

If G(x) happens to be the antiderivative of a function g(x), then this is the same as the average value of g(x) on the same interval,

$g_{\rm ave}=\dfrac{G(b)-G(a)}{b-a}=\dfrac1{b-a}\displaystyle\int_a^b g(x)\,\mathrm dx$

(* I'm actually not totally sure that continuity is necessary for the AROC to exist; I've asked this question before without getting a particularly satisfying answer.)

• "Trapezoidal rule" doesn't apply here. Split up [a, b] into n subintervals of equal width (b - a)/n. Over the first subinterval, the area of a trapezoid with "bases" y₀ and y₁ and "height" (b - a)/n is

(y₀ + y₁) (b - a)/n

but y₀ is clearly missing in the sum, and also the next term in the sum would be

(y₁ + y₂) (b - a)/n

the sum of these two areas would reduce to

(b - a)/n = (y₀ + 2 y₁ + y₂)

which would mean all the terms in-between would need to be doubled as well to get

$\displaystyle\int_a^b f(x)\,\mathrm dx\approx\frac{b-a}n\left(y_0+2y_1+2y_2+\cdots+2y_{n-1}+y_n\right)$

7 0

3 years ago

Is 0.84 less than greater than or equal to one half

Neporo4naja [7]

One half is 0.50, so compare 0.84 to 0.50. Which is true?

0.84 is greater than 0.50
0.84 equals 0.50
0.84 is less than 0.50.

8 0

3 years ago

Read 2 more answers

Urgent helps bxjdidjdjjfjdhhdhdh

MatroZZZ [7]

Answer:

l=40

Step-by-step explanation:

The area is calculated as

A = wl

1200=30l

1200/30=l

40=l

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3 years ago

Alan sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $5.10. How much will he earn

inysia [295]

Alan will make $28.50 from 5 large necklaces and $15.30 from 3 small necklaces. $43.80 in total :)

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3 years ago

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Pls tell me how to convert a fraction into a decimal! I’m having sm trouble understanding:(

pogonyaev

Answer:

1. 0.875 2. 0.666… 3. 2.25 4. 0.8333…

Step-by-step explanation:

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number. Hope you get it! :)

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3 years ago