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Irina18 [472]
2 years ago
5

Adrian belter hit 48 home run during the 2004 major league baseball season, but only hit 19 home runs in 2005 season. By what pe

rcent did belters home run production decrease from 2004 to 2005?
Mathematics
1 answer:
Alex777 [14]2 years ago
5 0
Difference = 48-19
= 29
production decrease = 29 × 100/ 48
= 60.41%
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If a=9 and d-1=27 and a=d find a and d​
Zina [86]

Answer:

A= 9

D=10

Step-by-step explanation:

a=d-1

9=d-1

10=d

3 0
3 years ago
Here we will study the function f (x) = e ^ x sin (x), where x ∈ [0, 2π]. a) Determine where the function is decreasing and incr
Semmy [17]

fff

f(x) = e^x sin (x)

To find increasing and decreasing intervals we take derivative

f'(x) = e^xsin(x)+e^x(cosx)= e^x(sinx+cosx)

Now we set the derivative =0  and solve for x

e^x(sinx+cosx)=0

sinx + cosx =0

divide whole equation by cos x

\frac{sinx}{cosx} + \frac{cosx}{cosx} =0

tanx +1 =0

tanx = 1

x=\frac{3\pi }{4} and  x=\frac{7\pi}{4}

Now we pick a number between 0 to  \frac{3\pi }{4}

Lets pick  \frac{\pi }{2}

Plug it into the derivative

f'(x) =e^{\frac{\pi }{2}}(sin(\frac{\pi}{2})+cos(\frac{\pi }{2}))

= 4.810 is positive

So the graph of f(x) is increasing on the interval [0, x=\frac{3\pi }{4})

Now we pick a number between   \frac{7\pi}{4} to 2pi

Lets pick  \frac{11\pi}{6}

Plug it into the derivative

f'(x) =e^{\frac{11\pi}{6}}(sin(\frac{11\pi}{6})+cos(\frac{11\pi }{6}))

= 116 is positive

So the graph of f(x) is increasing on the interval (\frac{7\pi }{4}, 2\pi)

Increasing interval is (0,\frac{3\pi }{4}) U (\frac{7\pi }{4}, 2\pi)

Decreasing interval is (\frac{3\pi}{4}, \frac{7\pi}{4})

(b)

The graph of f(x) increases and reaches a local maximum at x=\frac{3\pi}{4}

The graph of f(x) decreases and reaches a local minimum at x=\frac{7\pi}{4}

(c)

f(0) = 0

f(2\pi)=0

f(\frac{3\pi }{4})=7.46

f(\frac{7\pi}{4})=-172.64

Here global maximum at x=\frac{3\pi}{4}

Here global minimum at x=\frac{7\pi}{4}


3 0
3 years ago
Read 2 more answers
Last year a business earned 4.1*10^6 dollars in income.This year the business earned 2.05*10^8 dollars in income.Which best desc
jenyasd209 [6]

Answer:

This year the business earned about 50 times as much as it did last year

Step-by-step explanation:

I got this answer because you have to have the same exponents so for the last year's income the exponent is 6 so you have to raise that up to 8 so you have to move the decimal of 4.1, two places to the left which will get you 0.041 and so you divide 2.05 by 0.041 and you get 50 so 2.05 is 50 times bigger than 0.041. I hope this helped.

3 0
4 years ago
You have saved $2,000 to take a trip anywhere in the world. Fill in the following budget below to help you plan your dream trip.
Norma-Jean [14]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Plz help!<br><br> According to the graph, what are the domain and range of f(x)
notsponge [240]

Answer:

Domain: [0, 40]

Range: [0, 20]

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)
  • Range is the set of y-values that are outputted by function f(x)
  • Interval Notation - [a, b] denotes inclusive, (a, b) denotes exclusive

Step-by-step explanation:

According to the graph, we see that our x-values span from 0 to 40. Since both are closed dots, they are included in the domain:

Interval Notation [0, 40]

Inequality Notation 0 ≤ x ≤ 40

According to the graph, we see that our y-values span from 0 to 20. Since both are closed dots, they are included in the range:

Interval Notation [0, 20]

Inequality Notation 0 ≤ y ≤ 20

8 0
3 years ago
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