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slega [8]
3 years ago
13

(6 x 10^2) ÷ (3x 10^-5)

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0
The answer is 20000000
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Evaluate the definite integral using the graph of f(x)<br> (Image included)
Tanya [424]

a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

\displaystyle \int_0^3 f(x) \, dx = \frac12 \times 3 \times 5 = \boxed{\frac{15}2}

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

\displaystyle \int_3^5 f(x) \, dx = \int_3^4 f(x) \, dx + \int_4^5 f(x) \, dx = \int_3^4 f(x) \, dx - \int_3^4 f(x) \, dx = \boxed{0}

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

\displaystyle \int_5^9 f(x) \, dx = -4\times5 = -20

Then by linearity, we have

\displaystyle \int_0^9 f(x) \, dx = \left\{\int_0^3 + \int_3^5 + \int_5^9\right\} f(x) \, dx = \frac{15}2 + 0 - 20 = \boxed{-\frac{25}2}

8 0
2 years ago
I’m sorry I’m bad at math and I need help
Natali [406]

A or B

I'm confuseddd omg

5 0
3 years ago
Celeste uses 24 inches of ribbon from a spool that holds 36 inches of ribbon. Which shows equivalent representations for the par
never [62]
Your simplified answer is indeed 2/3 (or 60%, or 0.6) because the fraction 24/36 can be simplified by dividing both the numerator and denominator by 6, which leaves you with 2/3.
3 0
3 years ago
Helppppppppppppppppppppppp
DiKsa [7]

Answer:

gotta be  answer A

Step-by-step explanation:

you can search up f(x) = square root of x

7 0
3 years ago
I dont know why it says im in high school im in middle school. But anyways can someone please explain how to get percentage.
tigry1 [53]

Answer:

Step-by-step explanation:

To change a decimal into a percent you multiply by 100.

If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5

6 0
3 years ago
Read 2 more answers
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