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svetlana [45]
2 years ago
7

Pls answer this.....really need help pleaseee <3

Mathematics
2 answers:
faust18 [17]2 years ago
8 0

Answer:

Step-by-step explanation:

1. 1.2×10³ as an ordinary number?

1.2\times\:10^3\\\\10^3=1000\\\\=1000\times\:1.2\\\\=1200

2.

200  000= 2\times 10^5\\\\200  000 =200\times 10^3

54000 =54\times 10^3\\\\

327000 = 327\times 10^3\\\\327000 = 32.7\times 10^4

3.

149 000 000\:km \\\\=149\times 10^6\\ or\\14.9\times 10^7

4.

5.

0.05 = 50\times 10^-^3\\ \\0.807=807\times 10^-^3\\\\0.00261=2.61\times 10^-^3

6.

0.000139\:m = 1.39\times 10^-4

7. I think all the numbers are written in standard form

Art [367]2 years ago
3 0

Answer:

1.) 1200

2.) 200,000= 2.0 × 10⁵ .  54000 = 5.4 × 10⁴ .  127000 = 1.27 × 10⁵

3.) 149000000 = 1.49  × 10⁸

4.) 2.5 × 10⁻² = 0.025

5.)  5 × 10⁻² .  8 × 10⁻¹    0.00261 = 2 × 10⁻³

6.)  0.000139m  = 1.39 × 10⁻⁴

7.) <em>0.6 × 10⁶</em> changes to 6.0 × 10⁵

<em>0.54 × 10⁻¹²</em><em>  </em>changes to 5.4 × 10⁻¹³

8 × 10⁻⁵ changes to 8.0 × 10⁻⁵

10 × 10³ changes to 10 × 10⁴

44 × 10⁷  changes to 4.4 × 10⁸

1 × 10² changes to 1.0× 10²

Step-by-step explanation:

1. <u>Positive</u> exponents: Whatever the Power of 10 in standard form, move the decimal that many places to the right.

2,3 & 7.  Standard Form <u>always</u> uses <em><u>One digit to the left of the decima</u></em><em>l</em>, then some power of 10. That digit must be equal or greater than 1, but less than 10. <em>T</em><em><u>here must be at least one digit to the right of the decimal,</u></em> even if it is 0.

4. <u>Negative</u> exponents: Whatever the Power of 10 in Standard Form, move the decimal that many places to the l<u>eft</u> to write as a regular decimal (old fashioned)

5 & 6. Reverse of 4.  How many places you moved the  decimal to the right, thats the number you put as the negative exponent of 10 in Standard Form.

7. AAUGH! Same as 2 & 3 but more confusing! There are <em><u>rules!</u></em>

I hope this helps.

Check out Scientific Notation, another name for Standard Form.

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Answer:

y - 2 =  - 5(x - 2)

Step-by-step explanation:

y - 2 =  - 5(x - 2) \\ y - 2 =  - 5x + 10 \\ y =  - 5x + 10 + 2 \\ y =  - 5x + 12 \\ y  = 12 - 5x \\

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\boxed{\mathrm{view \ explanation}}

Step-by-step explanation:

The difference of two cubes formula is given as:

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a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel
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Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

                             = 24000 - 750x + 2400x - 75x²

                             = 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

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Price per Wind chime = $ 150 + 15(11)

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So,

The price per wind chime that will maximize revenue = $ 315

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3 years ago
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Andrej [43]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

9^2 + x^2 = 15^2

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x = \sqrt{144

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3 years ago
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