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Pani-rosa [81]
1 year ago
14

a group of scientists studied the amount of erosion at a beach. the scientists determined that the equation y=-0.5x+26 models th

e amount of shoreline, y, in feet, x decades after 1950. which statement is true based on the model?
Mathematics
1 answer:
Ahat [919]1 year ago
4 0

Take into account that x represents the number of decades after 1950. Moreover, consider that -0.5x is a decrease in the values of y, each decade.

Then, you can conclude that each decade, that is, every 10 years, the shoreline reduces 0.5 feet.

Hnece, you have:

The shoreline is reduced by 0.5 foot every 10 years

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Explain why each of the following integrals is improper. (a) 4 x x − 3 dx 3 Since the integral has an infinite interval of integ
erma4kov [3.2K]

Answer:

a

   Since the integral has an infinite discontinuity, it is a Type 2 improper integral

b

   Since the integral has an infinite interval of integration, it is a Type 1 improper integral

c

  Since the integral has an infinite interval of integration, it is a Type 1 improper integral

d

     Since the integral has an infinite discontinuity, it is a Type 2 improper integral

Step-by-step explanation:

Considering  a

          \int\limits^4_3 {\frac{x}{x- 3} } \, dx

Looking at this we that at x = 3   this  integral will be  infinitely discontinuous

Considering  b    

        \int\limits^{\infty}_0 {\frac{1}{1 + x^3} } \, dx

Looking at this integral we see that the interval is between 0 \ and  \  \infty which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  c

       \int\limits^{\infty}_{- \infty} {x^2 e^{-x^2}} \, dx

Looking at this integral we see that the interval is between -\infty \ and  \  \infty which means that the integral has an infinite interval of integration , hence it is  a Type 1 improper integral

Considering  d

        \int\limits^{\frac{\pi}{4} }_0  {cot (x)} \, dx

Looking at the integral  we see that  at  x =  0  cot (0) will be infinity  hence the  integral has an infinite discontinuity , so  it is a  Type 2 improper integral

     

7 0
3 years ago
Algebra 2!exponential growth rate of 7%?
bixtya [17]

Answer:

A = 325(1.07)^1

Step-by-step explanation:

first one shows an increase of 70%

second one shows a decrease of 7%

Last shows a decrease of 93%

6 0
3 years ago
Please help! Correct answer only please!
victus00 [196]
The answer would be A , that’s his slugging percentage ! Hope this helps !
6 0
3 years ago
You learned from your science teacher that water expands when you freeze it. The next time you freeze your water bottle, you lea
Nata [24]
Can you add the question to the problem?
6 0
4 years ago
Can someone help me with these
NISA [10]
Perimeter can be found by the formula : Perimeter =  2L + 2 W

Perimeter =  2L + 2 W

Perimeter = 2(2a) + 2(a + 1) .   ← Option 4

Perimeter = 4a + 2a + 2

Perimeterr = 6a + 2                  ← Option 5

Perimeter can also be found by simply adding up all the 4 sides:
Perimeter = L + W + L + W

Perimeter = L + W + L + W

Perimeter = 2a + a + 1 + 2a + a + 1   ← Option 3

Perimeter = 3a + 1 + 3a + 1                ← Option 1


Answer: Option 1, 3, 4 and 5 are correct.
8 0
3 years ago
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