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.
Find the powers
$a^{2}=5+2 \sqrt{6}$
$a^{3}=11 \sqrt{2}+9 \sqrt{3}$
The cubic term gives us a clue, we can use a linear combination to eliminate the root 3 term $a^{3}-9 a=2 \sqrt{2}$ Square $\left(a^{3}-9 a\right)^{2}=8$ which gives one solution. Expand we have $a^{6}-18 a^{4}-81 a^{2}=8$ Hence the polynomial $x^{6}-18 x^{4}-81 x^{2}-8$ will have a as a solution.
Note this is not the simplest solution as $x^{6}-18 x^{4}-81 x^{2}-8=\left(x^{2}-8\right)\left(x^{4}-10 x^{2}+1\right)$
so fits with the other answers.
Answer:
The quantity of currency in the pockets does Stephanie has is 45 nickles and 10 dims .
Step-by-step explanation:
Given as :
The total amount of money does Stephanie have = $ 3.25
The total money is in the form of nickels and dimes
Let the number of nickels = n
And The number of dims = d
∵ we know that 20 nickles makes 1 dollar
And 10 dimes makes 1 dollar
So , in total of 3.25 dollar the number of dime and nickles be
∵ 20 nickles makes 1 dollar
∴ 45 nickles will makes × 45 dollar
I.e 45 nickles will makes 2.25 dollar
Now, ∵ 10 dimes will make 1 dollar
So, The total number of nickles and dimes satisfying equation
45 nickles + 10 dimes = 2.25 dollar + 1 dollar = 3.25 dollar
Hence The quantity of currency in the pockets does Stephanie has is 45 nickles and 10 dims . Answer