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natulia [17]
3 years ago
5

Prime factorization practice All factors

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
1. -1•5•5 or also -1•5²
2. -1•7•7 -1•7²
3. -1•7
4. -1•13
5. -1•2•2•2•3 -1•2³•3
6.-1•2•2•2•2•3 -1•2^4•3
7. -1•2•2•2•3•7 -1•2³•3•7
Both factorization are correct it just depends on your teacher how she/he wants you to write it.
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Explanation:

You move the decimal point two spots to the left to go from 2.85% to 0.0285

Or you can think of it like this:

2.85% = (2.85)/100 = 0.0285

since "percent" means "per 100"

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8 0
3 years ago
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What is the absolute value of -25?
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To play basketball with her friends, Evangeline needs to pump air in her ball, which is completely deflated. Before inflating it
Nadya [2.5K]

Answer:

ρ_air = 0.15544 kg/m^3

Step-by-step explanation:

Solution:-

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                             m1 = 0.615 kg

- The air is pumped into the ball and weight again. The new reading of the ball's weight is:

                            m2 = 0.624 kg

- The amount of air ( mass of air ) pumped into the ball can be determined from simple arithmetic between inflated and deflated weights of the ball.

                           m_air = Δm = m2 - m1

                           m_air = 0.624 - 0.615

                           m_air = 0.009 kg

- We are to assume that the inflated ball takes a shape of a perfect sphere with radius r = 0.24 m. The volume of the inflated ( air filled ) ball can be determined using the volume of sphere formula:

                         V_air = 4*π*r^3 / 3

                         V_air = 4*π*0.24^3 / 3

                         V_air = 0.05790 m^3  

 

- The density of air ( ρ_air ) is the ratio of mass of air and the volume occupied by air. Expressed as follows:

                         ρ_air = m_air / V_air

                         ρ_air = 0.009 / 0.05790

Answer:            ρ_air = 0.15544 kg/m^3                      

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3 years ago
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