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3 years ago

A radioactive substance decays according to the formula A=A0e^kt

1 answer:

4 0

Without needing fancy formulas, we can conclude that after 10 years, half of the substance will be left. So, we can make our own formula:
amount remaining = 1 / 2^(years/10)
So, after 5 years
amount remaining = 1 / 2^(5/10)
amount remaining = 1 / 2^(.5)
amount remaining = 1 / 1.414213562 
amount remaining = 0.70711 * 20 grams
amount remaining = 14.1421356237 grams

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Simplify 8 3/4 plus 9 2/8

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

8 3/4 + 9 2/8

We can simplify 2/8 by dividing the top and bottom by 2

8 3/4 + 9 1/4

Add the whole numbers

8+9 = 17

3/4 + 1/4 = 4/4 = 1

Add this to the whole numbers

17+1 = 18

8 0

3 years ago

Can someone help me round up decimals plzz

boyakko [2]

In this situation, 0.782 would be rounded to 0.8

how to round a decimal: take the underlined number and look to the number located to the RIGHT of the underlined number, if the number to the right of the underlined number is 4 or less you leave the underlined number as is - but if the number right to underlined number is 5 or greater you round the underlined number up by one

ex. 1.83 [round to the nearest tenth]

answer: 1.80

instead of keeping the 3 [hundredth] you turn it into a 0.

3 0

3 years ago

Is this a complementary, supplementary, vertical, or adjacent ill give brainly

WINSTONCH [101]

Answer:

its complemtary

Step-by-step explanation:

check this photo

6 0

3 years ago

The congruence theorem that can be used to prove △LON ≅ △LMN is SSS. ASA. SAS. HL.

Zinaida [17]

Answer:

The correct option is SSS (Side-Side-Side) Theorem

Step-by-step explanation:

The question is incomplete because the diagrams of ΔLON and ΔLMN are not given. I have attached the diagram of both triangles below for better understanding of the question.

Consider the diagram attached below. We have to find the congruence theorem which can be used to prove that ΔLON ≅ ΔLMN

We can see in the diagram that both triangle have a common side that is LN. It means 1 side of both triangles is congruent because LN≅LN

Consider the sides ON and MN. Both side have a single bar on them, which means that it is given that both of these side are congruent. Hence ON≅MN

Consider the sides LO and LM. Both side have a double bars on them, which means that it is given that both of these side are also congruent. Hence LO≅LM

SSS theorem states that if all sides of the triangles are congruent, then the triangles themselves are also congruent, which is the same case in this question

4 0

3 years ago

Read 2 more answers

AN SOMEONE PLEASE HELP ME SOLVE THIS!!

stepan [7]

A) Scale factor:

Divide 2 congruent sides:

24 / 36 = 0.667

From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.

B) Volume = (1/2 x base x side) x height:

Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.

C) Find the height of the prism:

7776 = (1/2 * base * sides) x height

7776 = (1/2 x 36 x 48) * height

7776 = 864 * height

Height = 7776 / 864 = 9 inches.

The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.

Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.

3 0

3 years ago