You are going in the right direction. For the distance of ST I get √136
√(-5-1)² + (6+4)² =
√(-6)² + (10²) =
√ 36 + 100 =
√136
√34² + √136² =√170²
34 + 136 = 170
170 = 170
Answer:
Step-by-step explanation:
rewrite as multiplication
look to factor
, difference of 2 squares and perfect square
, finish factoring and simplify
2(x+3)
Answer:
Step-by-step explanation:
The probability can be defined as the ratio between the possible events and the total number of outcomes.
In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.
Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.
Therefore, the probability is
The right answer is the last choice.
9514 1404 393
Answer:
14.1 years
Step-by-step explanation:
Use the compound interest formula and solve for t. Logarithms are involved.
A = P(1 +r/n)^(nt)
amount when P is invested for t years at annual rate r compounded n times per year.
Using the given values, we have ...
13060 = 8800(1 +0.028/365)^(365t)
13060/8800 = (1 +0.028/365)^(365t) . . . . divide by P=8800
Now we take logarithms to make this a linear equation.
log(13060/8800) = (365t)log(1 +0.028/365)
Dividing by the coefficient of t gives us ...
t = log(13060/8800)/(365·log(1 +0.028/365)) ≈ 0.171461/0.0121598
t ≈ 14.1
It would take about 14.1 years for the value to reach $13,060.
Answer:
1/4 < 5/4
Step-by-step explanation:
Since the numbers have the same denominator, we compare the numerators
1<5
so 1/4 < 5/4
