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castortr0y [4]
3 years ago
5

Which answer shows 9 x 10 ^ -5 written in standard form ?

Mathematics
1 answer:
coldgirl [10]3 years ago
5 0

Answer:

  D  0.00009

Step-by-step explanation:

9 × 10^-5 = 9 × 1/10^5 = 9 × 1/100,000

  = 9 × 0.00001

  = 0.00009

_____

<em>Comment on place value</em>

The exponent of 10 associated with the place value in a decimal number increases from 0 to the left of the decimal point, and decreases from -1 to the right of the decimal point:

  100. = 10²

  10. = 10¹

  1. = 10⁰

  0.1 = 10⁻¹

  0.01 = 10⁻²

  0.001 = 10⁻³

  0.0001 = 10⁻⁴

  0.00001 = 10⁻⁵

This simple realization can help you immensely with scientific notation.

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If 225.00 yields 27.00 in x years as simple interest at the rate of 4% per annum find x​
Lyrx [107]

Answer:

3 years

Step-by-step explanation:

By simple interest formula:

i =  \frac{prt}{100}  \\  \\ 27 =  \frac{225 \times 4 \times x}{100}  \\  \\ x =  \frac{27 \times 100}{900}  \\  \\ x =  \frac{2700}{900}  \\  \\ x = 3 \: years

6 0
3 years ago
What is the solution (x,y) to the system of equations below? -2x = 4y +6 2(2y+3) = 3x - 5
mixer [17]

Answer:

B

Step-by-step explanation:

Given the 2 equations

- 2x = 4y + 6 → (1)

2(2y + 3) = 3x - 5 → (2)

Distribute left side of (2)

4y + 6 = 3x - 5 → (2)

Substitute 4y + 6 = - 2x into (2)

- 2x = 3x - 5 ( subtract 3x from both sides )

- 5x = - 5 ( divide both sides by - 5 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (1)

- 2(1) = 4y + 6

- 2 = 4y + 6 ( subtract 6 from both sides )

- 8 = 4y ( divide both sides by 4 )

y = - 2

Solution is (1, - 2 ) → B

5 0
4 years ago
Read 2 more answers
? x 1/100 = 1,200 what is the missing number?
andrew-mc [135]

Answer: 120,000

Step-by-step explanation:

Let the question mark = x

x*1/100 = 1200

Multiply by 100 on both sides:

x = 1200*100

x = 120,000

8 0
2 years ago
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4) A skating rink rents skates at $3.95 for the first hour plus $1.25 for each additional hour. When you returned your skates, y
galina1969 [7]

Answer:

3 hours

Step-by-step explanation:

First we can find how much money you had to pay for keeping the skates for the additional hours:

$7.70-$3.95=$3.75

Now we find how many hours you kept the skates...

$3.75/$1.25 per hour=3 hours

3 0
2 years ago
If twice the age of son is added to age of father, the sum is 56. But if twice the age of the father is added to the age of son,
MAVERICK [17]

Answer:

Age of Father- 36

Age of Son- 10

4 0
2 years ago
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