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nika2105 [10]
3 years ago
10

License plates are made using letters followed by digits. How many plates can be made if repetition of letters and digits is​ al

lowed
Mathematics
1 answer:
Semmy [17]3 years ago
4 0

How many plates can be made if repetition of leters and digits is allowed? 26*26*10*10=67,600 plates can be made.

this is what i looked up and got sry if its not

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6+2i
aliya0001 [1]
\frac{6+2i}{3+3i}=\frac{6+2i}{3+3i}\times\frac{3-3i}{3-3i}
\frac{6+2i}{3+3i}=\frac{18-18i+6i-6i^{2}}{9-9i+9i-9i^{2}}
\frac{6+2i}{3+3i}=\frac{18-12i+6}{9+9}
\frac{6+2i}{3+3i}=\frac{24-12i}{18}
\frac{6+2i}{3+3i}=\frac{12(2-i)}{18}
\frac{6+2i}{3+3i}=\frac{2(2-i)}{3}
\frac{6+2i}{3+3i}=\frac{2}{3}(2-i)
\frac{6+2i}{3+3i}=\frac{4}{3}-\frac{2i}{3}
3 0
4 years ago
the equation d=1/2n (n-3) gives the number of diagonals D for polygon with n sides. use this equation to find the number of side
alekssr [168]
To solve this problem you must apply the proccedure shown below:

 1. You have that:

 - T<span>he equation d=1/2(n(n-3)) gives the number of diagonals for the polygon.

 - The polygon that has 65 diagonals..

 2. When you clear n, you obtain:

 d=n(n-3)/2
 d=(n^2-3n)/2
 2x65=n^2-3n
 n^2-3n-130=0
 
 3. When you solve the quadratic equation, you obtain:

 n=13

 Therefore, the answer is: 13 sides.  </span>
3 0
3 years ago
Read 2 more answers
Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by
elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate x^4.

We have

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h

Expand the numerator using the binomial theorem, then simplify and compute the limit.

\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}

In general, the derivative of a power function f(x) = x^n is \frac{df}{dx} = nx^{n-1}. (This is the aptly-named "power rule" for differentiation.)

3 0
2 years ago
4 cm
NNADVOKAT [17]
I think the answer is A or D
7 0
3 years ago
Read 2 more answers
Find the value of x in each case. Give reasons to justify your solutions!
velikii [3]

Answer:

x = 27

Step-by-step explanation:

Since AC and DE are parallel lines, then

∠ BAD = ∠ EDF= 2x ( corresponding angles )

The sum of the 3 angles in Δ BAD = 180°, thus

2x + 2x + 72 = 180, that is

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

7 0
3 years ago
Read 2 more answers
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