Answer:
6 x -10^4 or 6.3718 x -10^4
Step-by-step explanation:
by single digit it is 6 but anyother it is the other one
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
Amount of Niobium-91 initially
= 300/91 =3.2967mol
2040 years = 3 ×680 = 3 half-lives
therefore, amount left = 0.4121mol
mass of Niobium-91 remaining = 0.4121 ×91 =37.5g
Please give brainliest
Step-by-step explanation:
Total money paid=$110+$5.5=115.5
Cost of each shirt=$8
Therefore,
No. of T shirt req.=115.5/8=14.4
So they req. 15 T-Shirts
Answer:
m = -1
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Therefore,
slope = (-12-(-9))/(-6-(-9))
= -3/3
=-1