Step-by-step explanation:
given that
first term (a1) = 100

common ratio = 1/ 2
the series in Geometric Progression
the first five terms are
a1 = 100
a2 = 100/2 = 50
a3 = 50/ 2 = 25
a4 = 25/ 2 = 12.5
a5 = 6.25
Answer: See explanation
Step-by-step explanation:
Let the coupling that are in the second box be represented by x.
We are informed that a box contains 315 half inch conduit couplings and weighs 119 pounds and that an identical box also contains half-inch conduit couplings and weighs 47 pounds. This can be represented in an equation as:
315/119 = x/47
Cross multiply
119 × x = 315 × 47
x = (315 × 47) / 119
x = 14805/119
x = 124.4
There are about 124 couplings in the box.
Answer:
Our expressions is f(x) = 3|x-7|-7
- in positive values |x-7| is x-7 ⇒f(x) = 3x-28
- in negative ones |x-7| is 7-x wich is the opposite⇒f(x) = 14-3x
Let's calculate the limits in +∞ and -∞
So the right staement is B
The best estimate of the solution to this system of equations is about (23,14)
Answer:
As shown in picture, the circle is divided into 2 arcs, one of them is 142 deg.
Then the other one A is 360 - 142 = 218 deg (property of sum of all arcs on circle).
As the property of angle created by a tangent line:
x = (1/2) x arc A = (1/2) x 218 = 109 deg
Hope this helps!
:)