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Harlamova29_29 [7]
3 years ago
10

Multiply. Write your answer in scientific notation.

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

  1.462 × 10^20

Step-by-step explanation:

Multiplication proceeds in the usual way. The rules of exponents apply. A final exponent adjustment is needed to put the number in scientific notation form. (Your calculator can do all of this for you.)

  (4.3×10^12)(3.4×10^7) = (4.3×3.4)×(10^12×10^7) = 14.62×10^(12+7)

  = 14.62×10^19

  = (1.462×10)×10^19 = 1.462×10^(1+19)

  = 1.462×10^20

_____

The rule of exponents used is ...

  (a^b)(a^c) = a^(b+c)

_____

I find it works well to estimate whether the product of the mantissas will be more than 10, then make adjustments to exponents before the multiplication:

  (4.3×10^12)(3.4×10^7) = (4.3×10^12)(0.34×10^8) = 1.462×10^(12+8)

  = 1.462×10^20

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6 0
3 years ago
A circular garden has a diameter of 8 meters and is divided into 8 equal portions. A gardener wants to plant roses in every othe
Tema [17]
The area of a circle with respect to its diameter is:

A=(πd^2)/4

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A=(πd^2)/8, since d=8:

A=(64π)/8 m^2

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8 0
4 years ago
Read 2 more answers
Rita has a debit of $324 how much money does she need so that she doesn't do anything but left with no additional money?
Ilya [14]

Rita has a debit of $324, or she owes 324. Her balance is -324

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hope this helps

8 0
4 years ago
What is the volume of A cube with the surface area of 600 in.²
GrogVix [38]

Answer:

1000 in³

Step-by-step explanation:

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Given the surface area of the cube = 600 in², then

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s² = 100 ( take the square root of both sides )

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8 0
4 years ago
How are sales tax, tip and markup related
Ronch [10]

one is based on the other, is just extra charge based on the one before it.

say the store manager bought some scooter, she paid $10 for it.

well, she's not going to sell it for $10 because there are other costs, shipping, storage, cleaning up the scooter while in the store before is sold, rent for the store and so on, so the scooter is going to sell for more than $10............ hmmmm say $15.

so then the manager bumped up the price by $5, that bumped up amount is the markup.

now, the manager was so nice to you, she was wearing a nice perfume, so you give her a tip, the tip is usually, not always, but usually based on the price of the product, say you give her 10% tip, so 10% of 15 is 0.15.

whenever you buy that scooter, it comes with sales tax, provincial taxation to pay for public works, so  you're not really going to pay $15 flat, it'll be $15 and some change, say tax is 20%, so you'll be buying that scooter for $15.30.

so, the scooter went from $10 to $15 due to markup to $15.15 with the tip to $15.45 if we add the 0.30 in tax.

the tip is based on the marked up price, and the tax is also based on the marked up price, though sometimes the tip is based on the after-tax price, not always.

7 0
3 years ago
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