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Lera25 [3.4K]
3 years ago
12

Convert 49 to base 3.

Mathematics
1 answer:
Effectus [21]3 years ago
6 0
3.542487498 = base 3 to convert 49
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Larry, Mary, and Terry each had a full glass of juice. Larry drank 3/4 of his. Mary drank 3/8 of hers. Terry drank 7/10 of his.
KiRa [710]
Answer is Mary because
8/8 is a whole
4/8 is a half
3/8 is less than 1/2


3 0
3 years ago
Read 2 more answers
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
Hitman42 [59]

Answer:

a) C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty).

b) C(x) decreases in (8\,s, 10\,s).

Step-by-step explanation:

Let C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850, where x is the quantity of insecticide, measured in hundreds of liters, and C(x) is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of C(x) are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

C'(x) = 3\cdot x^{2}-54\cdot x+240 (1)

Please notice that regions where C(x) is increasing has C'(x) > 0, whereas C'(x) < 0 when C(x) < 0.

We notice that C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty). Besides, C(x) decreases in (8\,s, 10\,s).

6 0
3 years ago
Suppose you deposit $1200 into a savings account that compounds interest continuously at 3.9%. You left your money in the accoun
kodGreya [7K]

Answer: you would have $1772 at the end of 10 years.

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = $1200

r = 3.9% = 3.9/100 = 0.039

t = 10 years

Therefore,

A = 1200 x 2.7183^(0.039 x 10)

A = 1200 x 2.7183^(0.39)

A = $1772 to the nearest dollar

4 0
4 years ago
David is the coach of the Bingtown Cougars hockey team. There are 2 minutes left in the game they are playing and they are curre
sweet [91]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Use rounding or compatible numbers to estimate the sum 171+ 727
maw [93]
171 + 727 = 898.

We can round it off to 900.
6 0
3 years ago
Read 2 more answers
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