Answer:
x + y = -6
Step-by-step explanation:
Answer:
y = (x - 2)(x + 4)(x - 1)
Step-by-step explanation:
Given the zeros of a function say x = a and x = b, then
The factors are (x - a) and (x - b) and
y = (x - a)(x - b)
Given the zeros are x = 2, x = - 4, x = 1, then
the factors are (x - 2), (x - (- 4)) and (x - 1), that is
(x - 2), (x + 4), (x - 1) , thus
y = (x - 2)(x + 4)(x - 1)
Answer:
the closest part the mechanic can chose is 0.5 inch
Step-by-step explanation:
fractional sizes given to the nearest 64th of an inch = 1/64 = 0.0156
the closest size to 0.492in = 0.492 + 0.0156 = 0.5076 inches
approximately, the closest part the mechanic can chose is 0.5 inch
Answer:
the time taken for the radioactive element to decay to 1 g is 304.8 s.
Step-by-step explanation:
Given;
half-life of the given Dubnium = 34 s
initial mass of the given Dubnium, m₀ = 500 grams
final mass of the element, mf = 1 g
The time taken for the radioactive element to decay to its final mass is calculated as follows;
![1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s](https://tex.z-dn.net/?f=1%20%3D%20500%20%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7B500%7D%20%3D%20%20%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%5C%5C%5C%5Clog%28%5Cfrac%7B1%7D%7B500%7D%29%20%3D%20log%20%5B%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%5D%5C%5C%5C%5Clog%28%5Cfrac%7B1%7D%7B500%7D%29%20%20%3D%20%5Cfrac%7Bt%7D%7B34%7D%20log%280.5%29%5C%5C%5C%5C-2.699%20%3D%20%5Cfrac%7Bt%7D%7B34%7D%20%28-0.301%29%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7B2.699%20%5Ctimes%2034%7D%7B0.301%7D%20%5C%5C%5C%5Ct%20%3D%20304.8%20%5C%20s)
Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.
Answer:
4x - 2
Step-by-step explanation:
3(2x - 2) - 2(x - 2) [Distributive Property]
6x - 6 - 2x + 4
4x - 2