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horrorfan [7]
3 years ago
5

José writes this problem:

Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

675÷1600

Step-by-step explanation:

no other one is correct just that one

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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
Reuben rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 86 cents for each mile
RUDIKE [14]

Answer:He drove it for 126 miles

Step-by-step explanation:

3 0
2 years ago
The basic wage earned by a truck driver for a a 40 hour week is 560.00$ for overtime work the driver is paid one and a half hour
Lubov Fominskaja [6]

Answer:

$7

Step-by-step explanation:

overtime = 1/2 x daily hourly rate

daily hourly rate = amount earned in a week / total hours worked

560 /40 = 14

overtime = 14/2 = 7

6 0
2 years ago
Name the slope perpendicular to 3/4.
Gnom [1K]

Answer:

The perpendicular slope is -4/3

Step-by-step explanation:

Perpendicular slopes multiply to -1

m * 3/4 = -1

Multiply each side by 4/3

m * 3/4 *4/3 = -1 * 4/3

m = -4/3

The perpendicular slope is -4/3

8 0
3 years ago
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Two boys on bicycles start from the same place at the same time. One cyclist travels 15 miles per hour, the other travels 12 mil
11111nata11111 [884]

Answer:

v

Step-by-step explanation:

cxx

3 0
3 years ago
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