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2 years ago

5

If 50 grams of a radioactive substance decomposed to 42 grams in 2 years, then, to the nearest gram, the amount left after 5 yea

rs is
30 grams

32 grams

22 grams

40 grams

28 grams

1 answer:

Inga [223]2 years ago

3 0

Answer:

30 grams

Step-by-step explanation:

50-42=8

8÷2=4

4=1 year

5×4=20

50-20=30

Hope u can understant

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2.4%

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There were 12 girls on the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of

Naily [24]

Answer:

1/4

Step-by-step explanation:

3 out of 12 stored over 10:

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2 years ago

What 5 consecutive odd numbers equal 200

dimulka [17.4K]

Answer:

{36, 38, 40, 42, 44}

Step-by-step explanation:

You are implying that you are adding up 5 consecutive numbers, and should use the word "add" or the word "sum."

"The sum of 5 consecutive odd numbers is 200" leads to:

x + (x+2) + (x+4) + (x+6) + (x+8) = 200. Note how each number is 2 more than the number preceding it. In this way you can guarantee that all of the 5 numbers are odd.

Summing up, we get 5x + 20 = 200, or 5x = 180.

Dividing both sides by 5, we get x = 36.

Then the 5 consecutive integers are

{36, 38, 40, 42, 44}. These add up to 200.

Unfortunately, these are consecutive EVEN numbers, not odd numbers.

Please ensure that you have copied down this problem correctly.

5 0

3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

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3 years ago

I PROMISE BRAINLIST; 5-STARS; THANKS!! IT'S VERY SIMPLE; BELIEVE ME!!!!!

DochEvi [55]

Answer:

2. B

3. C

4. B

5. D

Step-by-step explanation:

2) The sequence is multiplying by -2 each time. This means that it is geometric.

The next two terms would be:

$32*-2=-64\\-64*-2=128\\128*-2=-256$

This means that the answer is B

3) The sequence is being multiplied by $\frac{1}{3}$ each time. This means that it is geometric.

The next 3 terms would be:

$3*\frac{1}{3} =1 \\\\1*\frac{1}{3} =\frac{1}{3} \\\\\frac{1}{3} *\frac{1}{3} =\frac{1}{9}$

I am assuming that the answer is C and that you were unable to type the fractions.

4) We know that the common difference is 1.5, so that is the coefficient of our variable and the starting value is 15. This means that we can write an equation as follows

$f(x)=1.5(x-1)+15$

Now we can find the first 4 terms

$f(1)=15.0\\f(2)=16.5\\f(3)=18.0\\f(4)=19.5$

This would mean that the answer is B

5) We know that this is a geometric series, we know the common ratio, and we know the first term. This means we can write the equation as follows

$f(x)=4.5(10)^{x-1}$

Now we can find the first 4 terms

$f(1)=4.5\\f(2)=45\\f(3)=450\\f(4)=4500$

Unless you meant that the ratio was $\frac{1}{10}$ , the answer is D, none of the above

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3 years ago