Answer:
x = -1
Step-by-step explanation:
6 − 4x = 6x − 8x + 8
Combine 6x and −8x to get −2x.
6 − 4x = −2x + 8
Add 2x to both sides.
6 − 4x + 2x = 8
Combine −4x and 2x to get −2x.
6 − 2x = 8
Subtract 6 from both sides.
−2x = 8 − 6
Subtract 6 from 8 to get 2.
−2x = 2
Divide both sides by −2.
Divide 2 by −2 to get −1.
Hope this helps and have a great day! =D
Answer: 4 7/12 cups of popcorn
Step-by-step explanation:
Answer:
Just Assume that the transverse axis is horizontal
Answer:
14.99 hours
Step-by-step explanation:
The formula for half-life is given as,
R/R' = 2ᵃ/ᵇ...................... Equation 1
Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.
Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours
Substitute into equation 1 and solve for b
1/(0.0156) = 2⁹⁰/ᵇ
Taking the log of both side
log[1/(0.0156)] = log(2⁹⁰/ᵇ)
log[1/(0.0156)] = 90/b(log2)
90/b = log[1/(0.0156)]/log2
90/b = 6.0023
b = 90/6.0023
b = 14.99 hours
b = 14.99 hours.
Hence the half-life of Sodium-24 is 14.99 hours
Answer:
32 
Step-by-step explanation:
Given:
- The slant length 10 units
- A right square pyramid with base edges of length 8
Now we use Pythagoras to get the slant height in the middle of each triangle:
= 
= 
units
One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.
= 
= 6 units.
Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:
- The height 3 units
- A right square pyramid with base edges of length 4
So the volume of it is:
V = 1/3 *3* 4
= 32
