The charge Q is 512 c.
Step-by-step explanation:
Step 1:
The equation is 
, where q and Q are the charges, R is the distance between the charges, and F is the force between the charges.
From the question, we have;
F = 40 Newton, R = 16 m and q = 20 C.
We need to calculate Q.
Step 2:
By substituting the values of F, R, and q in the equation, we get
.
We cross multiply to solve Q.
So Q = 512 C.
Answer:
The area of rectangle is 12cm² and the perimeter is 14cm.
Step-by-step explanation:
First, you have to find the length of the rectangle using Pythagoras Theorem :
a² + b² = c²
a² + 3² = 5²
a² = 5² - 3²
a² = 16
a = √16
a = 4 cm
Next, you have to find the perimeter and area of rectangle :
Perimeter = 2(length + breadth)
P = 2(4 + 3)
P = 2(7)
P = 14 cm
Area = length×breadth
A = 4×3
A = 12 cm²
In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
Given:
The graph of a line.
To find:
The point-slope form of the given line.
Solution:
From the given graph it is clear that the line passes through the point (1,5) and (0,-1). So, the slope of the line is:
The slope of the line is 6 and it passes through the point (1,5). So, the point slope form of the line is:
Therefore, the point-slope form is , slope is 6 and the point is (1,5).
Dime value: $0.10
Nickel value: $0.05
For this word problem, you are asked to create an algebraic expression (an equation) for the unknown variables.
Now, we know that a dime is worth $0.10 or 10 cents and a nickel is worth $0.05 or 5 cents. So, all you would have to do is create an equation that takes those values into account.
5n + 10d
Your algebraic expression would be B. 5n + 10d
I hope this helps!
