We know that 5x-3x =2x
So x(5x-3x)=x×2x
=(2x)^2
=4x^2
Which is given as 18.
X^2=18÷4
=4.5
So x=root over 4.5
Which is approximately 2.25
200 x 150 = 30,000 to purchase
200 x 175 = 35,000 when selling
35000 - 30000 is 5,000 capital gain
Answer:
Answer:
(B)
Step-by-step explanation:
We have to construct two equilateral triangles that is one with the side length of 2 inches and the another triangle with side length of 3 inches.
Now, both the triangles are equilateral triangles, thus they have same shape.
Also, both triangles have different side lengths, one having 2 inches and another having 3 inches, thus they have different size.
Hence, the true statement about the two triangles is:
The two triangles are the same shape but not the same size.
Therefore, option B is correct.
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10
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
