Answer:
If a neutral object loses 1.5x106 electrons, then what will be its charge? ... Felect = (9x109 N/m2/C2)•(4.65 x 10-6 C)•(7.28 x 10-6 C)/(0.658 m)2 = 0.704 N.
Step-by-step explanation:
The cut point with the y axis for both graphs occurs when x = 0
We have then:
For f (x):
The cut point with the y axis is:

For g (x):
The cut point with the y axis is:

Therefore, the value of k is given by the vertical displacement of the graph k units.
We have then:

From here, let's clear k:
Answer:
The value of k is -2
Answer:
The third graph is the graph of the given function
Step-by-step explanation:
A simple technique that can be used to identify the graph that matches the given function is; determination of the x and y-intercepts. In this case, determining the y-intercept and then using elimination will suffice in matching the function with its graph. At the y-intercept the value of x is always zero, so we replace x with zero in the right hand side of the equation; y(x) = 2^(0+3) = 8. The graph of the function should therefore cross the y-axis at the point (0,8). The third graph is the graph of the given function.
Answer:
37 yd²
Step-by-step explanation:
The computation of the surface area of this triangular pyramid is shown below:
The surface area of this triangular pyramid is
But before that
Lateral area = 3(1 ÷ 2) × base × height
= (3 ÷ 2)(4 yd)(5 yd)
= 30 yd²
Now
base area = 1 ÷ 2 × base × height
= 1 ÷ 2(4 yd)(3.5 yd)
= 7 yd²
Now the total surface area is
surface area = lateral area + base area
= 30 yd² + 7 yd²
= 37 yd²
13: Since f(1)=10, the sequence must start with 10. We have only one sequence starting with 10, and indeed it verifies f(n+1)=f(n)-2, i.e. the next term is 2 less than the previous one.
14: If y varies directly with x, then there is a constant of variation k such that

In your case, F varies directly with m, with a constant of variation of 32.2, so we have
