Answer:
1 Stamp = $0.65
Stamps Bought= $158.60/0.65
=244 Stamps
Nearly 81 moons will be required to equate the mass of moon to the mass of earth.
Step-by-step explanation:
Mass of earth is 5.972*10^24 kg.
Mass of the moon is 7.36*10^25 g = 7.36*10^22 kg
As mass of the Earth is given as 5.972 * 10^24 kg and mass of the moon is given as 7.36 * 10^22 kg, then the number of moons required to make it equal to the mass of earth can be calculated by taking the ratio of mass of earth to moon.
Mass of Earth = Number of moons * Mass of Moon
Number of Moons = Mass of Earth/Mass of moon
Number of moons = 5.972 * 10^24/7.36*10^22= 81 moons.
So nearly 81 moons will be required to equate the mass of moon to the mass of earth.
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
Answer:
4 pound
Step-by-step explanation:
From the question :
2 gallons of water = 8 pound bag
Number of pound bag per gallon of water ;
Let the number of pound = x
Using cross multiplication, we'll have :
2 gallons = 8 pounds
1 gallon = x pounds
Cross multiply
2x = 8
x = 8 /2
x = 4
Hence, 1 gallon of water mixes 4 pound bag of concrete.
