Answer:
Fred's age: 26 Natalie's age: 15
Step-by-step explanation:
F + N = 41
-) F + 3N = 71
____________
=> -2N = -30
=> N = 15
F + 15 = 41 => F = 26
Given :
The half-life of carbon 14 is 5,730 years.
To Find :
How much would be left of an original 50-
gram sample after 2, 292 years.
Solution :
We know, rate law for first order reaction is given by :
...1)
Here, is initial amount and is final amount.
And
Putting value of half time in above equation, we get :
Putting value of k in equation 1) , we get :
Hence, this is the required solution.
Answer:
The correct option is;
21 ft
Step-by-step explanation:
The equation of the parabolic arc is as follows;
y = a(x - h)² + k
Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)
We therefore have;
y = a(x - 20)² + 25
Whereby the parabola starts from the origin (0, 0), we have;
0 = a(0 - 20)² + 25
0 = 20²a + 25 → 0 = 400·a + 25
∴a = -25/400 = -1/16
The equation of the parabola is therefore;
To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28
Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;
.
Ya sure.... What's your doubt?
Answer:
Area of Triangle is calculated by:
AT = baseT x heightT x (1/2)
Area of Rectangle is calculated by:
AR = baseR x heightR
Given AT = AR, baseT = baseR
=> heightT x (1/2) = heightR
=> heightT = 2 x heightR
or
height of triangle is two times larger than height of rectangle
Hope this helps!
:)