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const2013 [10]
3 years ago
5

Shannon and Kristoph are dividing numbers written in scientific notation.

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
4 0

Answer:

Shannon's expression:

\frac{4.2 \times 10^{9} }{1.4 \times 10^{4} }

Kristoph's expression:

\frac{4.2 \times 10^{2} }{1.4 \times 10^{-3} }

<h3>(A)</h3>

Notice that both expression has the same coefficient numbers: 4.2 and 1.4. That means to have the same results, we just need to have the same powers.

Without dividing the complete expression, you can observe that both powers are the same, because each you subtract 9-4 = 5, and 2-(-3) = 5, both gives the same exponent to the power of 10.

Therefore, both expression give the same result, because they have the same numbers and the same powers.

<h3>(B)</h3>

Let's solve the division to have the result in scientific notation.

Shannon's expression:

\frac{4.2 \times 10^{9} }{1.4 \times 10^{4} }=3 \times 10^{9-4}=3 \times 10^{5}

Kristoph's expression:

\frac{4.2 \times 10^{2} }{1.4 \times 10^{-3} }=3 \times 10^{2-(-3)}=3 \times 10^{5}

<h3>(C)</h3>

The standard form refers to each number written without the power. To do so, we need to move the decimal points the number of spots as the exponent demands. Notice that the exponent is 5, that means, we need to move the decimal point 5 spots to the right.

3 \times 10^{5}=300000

Therefore, the standard value of the expressions is 300,000.

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A is

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2 years ago
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The answer is 
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3 years ago
I don't really understand the question so can someone help me answer the question please?​
Ksivusya [100]

Answer:

1/ 3

Step-by-step explanation:

If each of the cards is turned over, the probability of picking up a card of one type P(E) becomes equal to:

=> P(E) = number of cards of the required type/ total number of cards

● Total number of spades( ♤ ) = 3

{the queen, one ace and the nine are all spades}

● Total number of cards = 6

Probability of drawing a spade= 3/ 6

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● Total number of "7" = 1

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Probability of drawing a 7

= 1/ 6

Now, what's asked is the difference in the probabilities of drawing a spade and a seven.

= 1/ 2 - 1/ 6

= 3/ 6 - 1/ 6

= 2/ 6

= 1/ 3

Hence, 1/ 3 of a greater chance of drawing a spade over a 7.

5 0
2 years ago
2abc - 3ab = -30? if a =2, b = -3 and c= 4
velikii [3]

Is your question true or false?

2abc - 3ab = -30? if a =2, b = -3 and c= 4

plug in

2(2)(-3)(4) - 3(2)(-3) = -30

Simplify

-48 + 18 = -30

-30 = -30

Both sides are equal so

It's true.


6 0
3 years ago
What is the quotient of 2 : 6 in simplest form? O A 3 4 0 B. 1 3 D. lo​
snow_tiger [21]

answer:

B. 2:6 is equal to 1:3

2 and 6 are both even so you can split both of them in half and you would get 1 and 3

3 0
3 years ago
Read 2 more answers
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