Answer:
Step-by-step explanation:
1) Change the mixed fractions into improper fractions:
2) Multiply the first fraction by 2/2 and the second fraction by 5/5 in order to create common factors on the denominator (You can do this because you are essentially multiplying by one, for example 2/2 = 1):
3) Simplify the numerator(top part) while keeping the denominator(bottom part) the same:
It is good equation. Look, that:
81 = 3 x 3 x 3 x 3 = 3^4.
So you have to solve:
3^x = 3^4
exponents have to be the same, so
x=4
That's mean that A(4) = 81
Answer:
3x - 8
Step-by-step explanation:
To find f(x + 1) substitute x = x + 1 into f(x)
f(x + 1) = 3(x + 1) - 7 = 3x + 3 - 7 = 3x - 4
Similarly
f(1) = 3(1) - 7 = 3 - 7 = - 4
Hence
f(x + 1) + f(1) = 3x - 4 - 4 = 3x - 8
Area of circle = pi (d/2)^2
area of semi-circle =0.5* pi (d/2)^2
=0.5* pi (6/2)^2
=14.14
To solve this problem, let us recall that the formula for
probability is:
Probability = total number of successful events / total
events
Where in this case, an event is considered to be successful
if the sum is 3 on the pair of six sided dice.
First, let us calculate for the total number of events. There
are 6 numbers per dice, therefore the total number of combinations is:
total events = 6 * 6 = 36
Next, we calculate for the total number of combinations
that result in a sum of 3. We can identify that there are only two cases that
result in sum of 3. That is:
1st case: first dice rolls 1, second dice
rolls 2
2nd case: first dice rolls 2, second dice
rolls 1
Hence, total number of successful events = 2. Therefore the
probability is:
Probability = 2 / 36 = 1 / 18 = 0.0556 = 5.56%
