Answer: X = -12
Step-by-step explanation: 1) 12 + x/4 = 9
2) 12 + x/ 2^2 = 9
3) x/ 2^2 + 12 = 9
Answer:
1. Absolute value
: d. | - 7| = 7
2. All real numbers
: b. 3x = 3x
3. x = -5 : c. 5x = -25
4. No solution
: a. |2x| = -10
5. Adding the opposite to both sides of the equation.
: e. Canceling
Step-by-step explanation:
1. Absolute value
: d. | - 7| = 7
The absolute value is considered the distance to 0... so if there's a negative sign in the value, the negative sign disappears.
2. All real numbers
: b. 3x = 3x
If we divide both sides by 3, we have x = x, which will always be true.
3. x = -5 : c. 5x = -25
If we multiply each side by 5, we have 5(x) = 5(-5) thus 5x = -25
4. No solution
: a. |2x| = -10
The result of an absolute value cannot be a negative number. So, that has no solution since there's no value of x that would make this true.
5. Adding the opposite to both sides of the equation.
: e. Canceling
If you have for example (x = -5) and you add 5 on both sides, you cancel the value on the right side... (becomes x + 5 = 0).
Answer:
Positive
Step-by-step explanation:
If you look at the plot you can see as the population goes up the years go up as well, so you can tell that they are positive since they go from left to right up.
Hope this helps :)
Before it hits your tap, unfiltered water from the Catskills winds its way through 6,000 miles of pipes aqueducts and tunnels.
Most of New York City's water -- 90 percent -- comes from the Kensico Reservoir. It holds 30 billion gallons and then travels to the ultra violet treatment facility in Westchester County, where 12,000 bulbs treat 1 billion gallons of water a day.
Hope this helps
Answer:
Step-by-step explanation:
For a first order decay, fraction remaining = 0.5n where n = number of half lives elapsed.
fraction remaining = 55% = 0.55
0.55 = 0.5n
log 0.55 = n log 0.5
-0.2596 = -0.301 n
n = 0.8625 = # of half lives elapsed
0.8625 half lives x 2.5 billion years/half live = 2.16 billion years have elapsed = age of the rock
b) 0.15 = 0.5n
log 0.15 = n log 0.5
-0.824 = -0.301 n
n = 2.74 half lives
2.5 billion years/half life x 2.74 half lives = 6.85 billion years = age of rock
