Answer:
15.625
Step-by-step explanation:
- (2.5)^3 = 2.5 · 2.5 · 2.5
- 2.5 · 2.5 · 2.5 = 6.25 · 2.5
- 6.25 · 2.5 = 15.625
Therefore, (2.5)^3 = 15.625.
Hello!
To solve, we want to isolate the x on one side of the equation. We can use inverse operations to put numbers on the other side to find x.
First we undistribute our parentheses.
12x-66+15=21
We subtract 15 from both sides (it cancels out the 15 on the left side, making it 0).
12x-66=6
Now we add 66 to both sides, as -66+66=0
12x=72
Finally, we divide both sides by 12.
x=6
I hope this helps!
Answer: x = -2, y = -10
Step-by-step explanation:
solve for x first in the equation -2x+3=7
-2x+3=7
-2x = 4
x = -2
now plug that x value into the other equation so we can find y
3x+1 = 5+y
3(-2)+1 = 5+y
-6+1 = 5+y
-5=5+y
-10 = y
Answer: 3.751*10^18kg
Step-by-step explanation:
δ =619.09−0.000097p....equa1 where p (the distance from the center of the earth) is measured in meters and δ is measured in kilograms per cubic meter.
Calculating the density of air at 5km above earth surface
P = 5000m + 6370000m = 6.375*10^6m
δ = 619.09 -(.000097* 6.375*10^6)
δ = 0.715kg/m^3 = density
Since Mass = density*volume...equ2
To calculate volume of air around the spherical earth at height 5km
V = (4/3 pai R^3) - (4/3pai r^3) ...equation 3 where R =6.375*10^6m, r = 6.37*10^6
Substituting R and r in equation 2 to solve for volume of air
V = 1.085*10^21 - 1.08*10^21
V = 5.25*10^18m^3
Substituting δ and V into equation 2 to solve for mass of air
M = 0.715 * (5.25*10^18)
M = 3.751*10^18kg
Answer:
240
Step-by-step explanation:
