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3 years ago

What is the product of 0.51 times 0.24

Mathematics

2 answers:

ira [324]3 years ago

6 0

0.1224 is your answer bud

svet-max [94.6K]3 years ago

5 0

The correct answer is 0.1224.

In order to find this, we need to first multiply these as if they have no decimal places.

51*24 = 1224

Now, we count the number of decimals in the original equation and move the decimal place that many times. Since there are 4 numbers after decimals in the original equation, we put 4 after in the answer.

.1224

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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill

abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

$V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}$

To find A and k

V(0) = A = 3 million

Hence V = $3e^{kt}$

V(6) = 1.5

i.e. $1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552$

$V(t) = 3e^{-0.11552t}$

a) Using the above value of k , we have

$V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794$ million per year.

4 0

3 years ago

An arithmetic sequence has this recursive formula:

Marianna [84]

Answer:

Option D is the correct option.

please see the attached picture for full solution..

Hope it helps...

Good luck on your assignment...

5 0

3 years ago

83 Tee (CsT Sequences and Functions

NISA [10]

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x y

1 4

2 -5

3 -14

4 -23

5 -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

3 0

3 years ago

33. A competition question requests students to form a three-digit number.

aniked [119]

Answer:

532

Step-by-step explanation:

532 = 2·2·7·19

There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.

The sums of factors of these numbers are ...

38, 18, 30, 28, 68, 22

The number of interest is 532.

7 0

3 years ago

5. A solid has a circle of radius r as its base. All sections of the solid perpendicular to the diameter along the x-axis are is

AleksandrR [38]

Answer:

$\frac{16r^3}{3}$

Step-by-step explanation:

In this cross sections problem, we can integrate from -r to +r (so that the integral covers the entire base of the solid).

$\int\limits^r_a {2(x^2+r^2 )} \, dx$

The formatting for the integral did not let me put -r on the lower bound, so i replaced it with a, just know that a represents -r here.

Evaluating the integral gives use that it is equal to;

$\frac{16r^3}{3}$

Caution: this answer may not meet your needs, but this is the answer I have come up with with the given information.

If you found this answer helpful please consider leaving 5 stars, giving it a like, or if you asked this question, mark this answer as Brainliest. Thanks!

4 0

3 years ago