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3 years ago

Using the slope intercept form graph the equation y = -5/2 +3

Mathematics

1 answer:

kramer3 years ago

5 0

Answer:

It is a straight horizontal line where the line is only on 0.5.

Step-by-step explanation:

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For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered fo

frutty [35]

10.25 hours on average

8+12+12+9=41

41/4= 10.25

7 0

3 years ago

Integrate the following

enot [183]

I suppose you mean to have the entire numerator under the square root?

$\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx$

We can use a trigonometric substitution to start:

$x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt$

Then for $x=2$ , $t=\sec^{-1}1=0$ ; for $x=4$ , $t=\sec^{-1}2=\frac\pi3$ . So the integral is equivalent to

$\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt$

We can write

$\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t$

so the integral becomes

$\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}$

7 0

3 years ago

Subtract. Use models if needed.<br><br><br> (12x + 3) – (2x + 10)

Galina-37 [17]

1.)combine like terms: 12-2x=10x 3-10=-7

10x-7

4 0

3 years ago

Read 2 more answers

Which mapping diagram represents a relationship that is a function?

Georgia [21]

Mapping A would be the one

3 0

3 years ago

Would you rather receive $10,000 a day for 31 days or a penny that doubles in value every day for 31 days?

bagirrra123 [75]

This shows how much you would make per day for both choices.

Total earned in 31 days for $10,000 per day: $310,000

Explanation

$10,000 every day in 31 days.

Total earned in 31 days for penny: 21,474,836.47

Explanation

Day 1: $0.01

Day 2: $0.02

Day 3: $0.04

Day 4: $0.08

Day 5: $0.16

Day 6: $0.32

Day 7: $0.64

Day 8: $1.28

Day 9: $2.56

Day 10: $5.12

Day 11: $10.24

Day 12: $20.48

Day 13: $40.96

Day 14: $81.92

Day 15: $163.84

Day 16: $327.68

Day 17: $655.36

Day 18: $1,310.72

Day 19: $2,621.44

Day 20: $5,242.88

Day 21: $10,485.76

Day 22: $20,971.52

Day 23: $41,943.04

Day 24: $83,886.08

Day 25: $167,772.16

Day 26: $335,544.32

Day 27: $671,088.64

Day 28: $1,342,177.28

Day 29: $2,684,354.56

Day 30: $5,368,709.12

Day 31: $10,737,418.24

7 0

3 years ago