Total money = 150 + 95 + 210 + 45 + 55 + 165 = $720
Total months is 6
Mean = 720 / 6 = $120
Hi! ❄
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The rule for this sequence is 'multiply by -6'.
Verification ↓
-3*(-6)
18
18*(-6)-108
So the rule for the sequence is 'multiply by -6'
And the Common ratio is -6.
Hope that made sense !!
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Answer:
Step-by-step explanation:
2.
Surface area = ( 6 *10 ) *3 + ( ( 7*4.87) /2)*2 = 180 + 34.09 = 214.09
3.
Surface area = (5*10) *3 + (( 7*4.2)/2)*2 = 150 +29.4 = 179.4
Answer:
ρ_air = 0.15544 kg/m^3
Step-by-step explanation:
Solution:-
- The deflated ball ( no air ) initially weighs:
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
