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tekilochka [14]
3 years ago
5

Convert 5.100 × 10-3 to ordinary notation. a.0.0005100 b.0.005100 c.510.0 d.5100

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0
5.100 x 10⁻³ = 5.100 x 0.001
                    = 0.005100      (shift the decimal point for 5 by 3 units left)

Alternatively, because 10⁻³ = 1/1000, therefore
5.100 x 10⁻³ = 5.1/1000

           0.0051
         ---------------
1000 | 5.100
           5000
           -------------
              1000
              1000
            
This yields the same result.

Answer: b. 0.005100
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Math Geniuses, I need your help!
vesna_86 [32]

Answer:

100

Step-by-step explanation:

Since the second 4 is two decimal points away from the first 4, the answer should be 100 (two zeros)

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3 years ago
The weights of five grapefruits are 7 47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. Using the
gulaghasi [49]

Answer:

<u>The approximate total weight of the grapefruits, using the clustering estimation technique is B. 35 ounces.</u>

Step-by-step explanation:

We notice that the weights of the grapefruits given are slightly down or above 7, then we will use <em>7 as our cluster</em> for the estimation, as follows:

Weights

7.47 ⇒ 7

7.23  ⇒ 7

6.46  ⇒ 7

7.48  ⇒ 7

6.81  ⇒ 7

<u>Now we can add up 7 + 7 + 7 + 7 + 7 for the weights of the grapefruits and the approximate total weight is B. 35 ounces.</u>

8 0
3 years ago
Read 2 more answers
A parallelogram has a base 4.5 mi and height 4.9 mi. what is the area?​
Paul [167]

Answer:

22.05 mi.²

Step-by-step explanation:

A = bh

A = (4.5 mi)(4.9 mi)

A = 22.05 mi.²

7 0
3 years ago
Write the equations for the line parallel and the line perpendicular to the given line passing through the given point.
pashok25 [27]

Answer:

10. y=2x+1                                              y = -1/2x +1

11. y=-1/3x +6                                          y = 3x -4

12. y=-5x-18                                            y=1/5x + 14/5

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.

10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.

Parallel                                           Perpendicular

(y-1)=2(x-0)                                       (y-1)==-1/2(x-0)          

y-1=2x                                              y-1 = -1/2 x

y=2x+1                                              y = -1/2x +1

11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.

Parallel                                           Perpendicular

(y-5)=-1/3(x-3)                                        (y-5)=3(x-3)          

y-5=-1/3x+1                                            y-5 = 3x - 9

y=-1/3x +6                                              y = 3x -4

12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.

Parallel                                           Perpendicular

(y-2)=-5(x--4)                                           (y-2)=1/5(x--4)          

y-2=-5(x+4)                                              y-2 = 1/5(x +4)

y-2=-5x -20                                              y-2 = 1/5x +4/5

y=-5x-18                                                    y=1/5x + 14/5


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5/16

You have to simplify both sides of the equation, then isolating the variable.
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