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Aneli [31]
3 years ago
15

a circular picture is 8 inches in diameter. part a what is the area of the picture in square inches? 4 sq inches 8 sq inches 16

sq inches 32 sq inches
Mathematics
2 answers:
Pepsi [2]3 years ago
6 0
It would be 90000000000 because thats just what i think it would be 
Yuliya22 [10]3 years ago
3 0

Answer:

4 sq inches

Step-by-step explanation:

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Which equation finds the volume of a cube with a side length of 2n6 units?
Xelga [282]

Answer:

Volume of the cube = (2n6)³

Step-by-step explanation:

Volume of a cube = L*B*H

Volume of a cube= L*L*L=L³ (since all the sides of the cube are equal.

Volume of the cube = (2n6)³

7 0
3 years ago
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 [<em>a</em>, <em>b</em>] is split up into <em>n</em> subintervals of equal length (so each subinterval has width (<em>b</em> - <em>a</em>)/<em>n</em>, same as the coefficient of the sum of <em>y</em> terms) and approximated by the area of <em>n</em> rectangles with base (<em>b</em> - <em>a</em>)/<em>n</em> and height <em>y</em>.

<em>n</em> subintervals require <em>n</em> + 1 points, with

<em>x</em>₀ = <em>a</em>

<em>x</em>₁ = <em>a</em> + (<em>b</em> - <em>a</em>)/<em>n</em>

<em>x</em>₂ = <em>a</em> + 2(<em>b</em> - <em>a</em>)/<em>n</em>

and so on up to the last point <em>x</em> = <em>b</em>. The right endpoints are <em>x</em>₁, <em>x</em>₂, … etc. and the height of each rectangle are the corresponding <em>y </em>'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 <em>G(x)</em> continuous* over an interval [<em>a</em>, <em>b</em>] is equal to the slope of the secant line through <em>x</em> = <em>a</em> and <em>x</em> = <em>b</em>, i.e. the value of the difference quotient

(<em>G(b)</em> - <em>G(a)</em> ) / (<em>b</em> - <em>a</em>)

If <em>G(x)</em> happens to be the antiderivative of a function <em>g(x)</em>, then this is the same as the average value of <em>g(x)</em> 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 [<em>a</em>, <em>b</em>] into <em>n</em> subintervals of equal width (<em>b</em> - <em>a</em>)/<em>n</em>. Over the first subinterval, the area of a trapezoid with "bases" <em>y</em>₀ and <em>y</em>₁ and "height" (<em>b</em> - <em>a</em>)/<em>n</em> is

(<em>y</em>₀ + <em>y</em>₁) (<em>b</em> - <em>a</em>)/<em>n</em>

but <em>y</em>₀ is clearly missing in the sum, and also the next term in the sum would be

(<em>y</em>₁ + <em>y</em>₂) (<em>b</em> - <em>a</em>)/<em>n</em>

the sum of these two areas would reduce to

(<em>b</em> - <em>a</em>)/<em>n</em> = (<em>y</em>₀ + <u>2</u> <em>y</em>₁ + <em>y</em>₂)

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
Thomas has 21 singles, 30 triples, and 13 homeruns. What is his SLG so far if he has 198 at bats?​
Sedaia [141]

Answer:

51 % batting percentage

Step-by-step explanation:

3 0
2 years ago
Simplify and give the answer in standard form: (3/8+5/12) ÷ (8/-15 x 27/16)
lina2011 [118]
Jakdjskfkskajdiwneosj….. -95/288
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2 years ago
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In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining
kykrilka [37]

Answer:

C

Step-by-step explanation:

Now, what we know is that the total distance from the dormitory to the city is 1 if expressed in fraction. What we need to know is the fraction of the journey that is scheduled as the last part.

We can get this by subtracting the fractions of the first two phases from 1.

This goes as follows:

1 - (1/5) - (2/3) = 2/15

Now, we know that the final 8 kilometers constitute a fraction of just 2/5

Hence, we know that 2/15 of the total journey is 8 kilometers.

Let the total journey distance be T. This means that 2/15 of T is 8km

2/15 * T = 8km

T = ( 8 * 15 )/2 = 120/2 = 60km

6 0
3 years ago
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