Answer:
1 : 9.75 * 10⁷
Step-by-step explanation:
To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.
Answer:
11%
Step-by-step explanation:
$72.15 - $65.00=$7.15 /$65.00=.11 or 11%
There are 13 green marbles in the bag.
Step-by-step explanation:
Total marbles = 18
Let,
Green marbles = x
Blue marbles = y
According to given statement;
The number of green marbles is 2 less than 3 times the number of blue marbles.
x = 3y-2 Eqn 1
x+y=18 Eqn 2
Putting value of x from Eqn 1 in Eqn 2;

Dividing both sides by 4

Putting y=5 in Eqn 1

There are 13 green marbles in the bag.
Keywords: linear equation, substitution method
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The term with degree 4 is

.
The coefficient of the term is the constant number that is being multiplied with the variable of the term. In case of

, the variable is x raised to the power 4 and the constant term that is being multiplied to the variable is 5.
So the coefficient of of term of degree 4 is 5.
Thus correct answer is option D
Answer: 233 min
Step-by-step explanation:
This problem can be solved by the following equation:
(1)
Where:
is the quantity left after time 
is the initial quantity
is the time elapsed
is the constant of decay for the material
So, firstly we need to find the value of
from (1) in order to move to the next part of the problem:
(2)
Applying natural logarithm on both sides of the equation:
(3)
(4)
(5)
(6)
(7) Now that we have the value of
we can solve the other part of this problem: Find the time
for
.
In this case we need to isolate
from (1):
(8)
(9)
Finally: