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sammy [17]
3 years ago
8

⦁ The average distance from the sun to the planet Mercury is about 58,000,000 km. The diameter of a human hair is about 0.0025 c

m.
⦁ What is the distance from the sun to Mercury written in scientific notation?
⦁ What is the diameter of a human hair written in scientific notation?
⦁ In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
I have no idea what to answer our teacher hasent taught us this and its overdue please help
Mathematics
2 answers:
dalvyx [7]3 years ago
7 0

Answer:

distance is 5.8x10^7 km

The diameter is 2.5x10^-3 cm

Step-by-step explanation:

Fantom [35]3 years ago
4 0

Answer:

The distance is 5.8x10^7 km

The diameter is 2.5x10^-3 cm

and before a comparison is made both numbers have to be written in the same unit. meaning the km has to be converted to cm or vice versa.

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Solve the following system of equations for all three variables.
xz_007 [3.2K]

Answer:

Step-by-step explanation:

-2x + 3y – 4z = 8    ----------------(I)

5x – 3y + 5z = -8    -----------------(II)

7x – 3y + 3z = 8 ------------------(III)

Add equation (I) & (II) and thus y will be eliminated

(I)        -2x + 3y – 4z = 8

(II)        <u>5x – 3y + 5z = -8</u>    {Add}

           3x          + z  = 0   ------------------------(A)

Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.

(II) * (-1)         -5x + 3y - 5z = +8

                     <u>7x – 3y + 3z = 8</u>   {Add}

                     2x         -2z   = 16   ---------------(B)

Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x

(A) * 2          6x + 2z = 0

(B)                 <u>2x - 2z  = 16</u>   {Add}

                     8x         = 16

Divide both sides by 8

                             x = 16/8

                          x = 2

Plugin x = 2 in equation (A)

3x + z = 0

3*2 + z = 0

 6 + z = 0

       z = -6

Plug in x = 2 and z  = - 6 in equation (I)

-2x +3y - 4z = 8

-2*2 + 3y - 4*(-6) = 8

-4 + 3y + 24 = 8

     3y   + 20 = 8

               3y = 8 - 20

               3y = -12

                 y = -12/3

y = -4

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7 0
3 years ago
Read 2 more answers
The difference of the square of a number and 28 is equal to 3 times that number
Pepsi [2]

Answer:

- 4, 7

Step-by-step explanation:

Let the required number be x.

Therefore, according to the given condition:

{x}^{2}  - 28 = 3x \\  {x}^{2}  - 3x - 28 = 0 \\  {x}^{2}  - 7x + 4x - 28 = 0 \\ x(x - 7) + 4(x - 7) = 0 \\ (x - 7)(x + 4) = 0 \\ x - 7 = 0 \: or \: x + 4 = 0 \\ x = 7 \: or \: x =  - 4 \\

5 0
3 years ago
Sophia drops her pencil in a cup and
MariettaO [177]

Answer:

5cm

Step-by-step explanation:

Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

<em>-kiniwih426</em>

4 0
3 years ago
If the average weight for cats is 12
Mariulka [41]

Answer:

3 standard deviations

from the mean is 6 pounds to 18 pounds.

Step-by-step explanation:

The above question is solved using empirical rule

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the above question

μ = 12 pounds

σ = 2 pounds

Hence:.

3 standard deviations from the mean is calculated as

μ - 3σ

[12 - 3(2)] pounds

=( 12 - 6) pounds

= 6 pounds

μ + 3σ

[12 + 3(2)] pounds

=( 12 + 6) pounds

= 18 pounds

Hence,3 standard deviations

from the mean is 6 pounds to 18 pounds.

on:

5 0
3 years ago
Write 0.05 as a fraction. A) 1 12 B) 1 15 Eliminate C) 1 18 D) 1 9
zheka24 [161]

x=0.0\overline{5}\\\\x=0.0555...\qquad\text{multiply both sides by 10}\\\\10x=0.555...\qquad\text{multiply both sides by 10}\\\\100x=5.555...\\\\\text{Make the difference:}\\\\100x-10x=5.555...-0.555...\\\\90x=5\qquad\text{divide both sides by 90}\\\\x=\dfrac{5}{90}\\\\x=\dfrac{5:5}{90:5}\\\\x=\dfrac{1}{18}\\\\Answer:\ \boxed{0.0\overline{5}=\dfrac{1}{18}}\to\boxed{C)}

6 0
3 years ago
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