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3 years ago

9

10.Last week Dirk and his roommates ate of a carton of yogurt, and this week they ate 3% of a carton. How much more yogurt did t

hey eat this week compared to last week?

1 answer:

myrzilka [38]3 years ago

3 0

Answer:

10% more this week compared to last week or for a fraction it would be 1/10 more than last week

Step-by-step explanation:

tell me if i got it right plz

and if i got it right plz mark brainliest

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Which number is between 0.5 and 8/9?

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To know which number is between 0.5 and 8/9, let us convert all numbers in the same form, the decimal form. 8/9 is equivalent to 0.89.
Option A is 0.29. Option B is 0.14. Option C is 0.21 and option D is 0.29. From the given choices above, THERE IS NO CORRECT ANSWER. None of the choices given fits to be a number that is between 0.50 and 8/9. Hence, the given choices may be incorrect.

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Which of the following is an improper integral?

guapka [62]

Answer:

A) $\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx$

General Formulas and Concepts:

<u>Calculus</u>

Discontinuities

Removable (Hole)
Jump
Infinite (Asymptote)

Integration

Integrals
Definite Integrals
Integration Constant C
Improper Integrals

Step-by-step explanation:

Let's define our answer choices:

A) $\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx$

B) $\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx$

C) $\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx$

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

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