Answer:
14,15,16
Step-by-step explanation:
Let x be the first number
Consecutive means in a row
x+1 is the second number
x+2 is the third number
x+ x+1 + x+2 = 45
Combine like terms
3x+3 = 45
Subtract 3 from each side
3x+3-3=45-3
3x = 42
Divide each side by 3
3x/3 = 42/3
x =14
The first number is 14
The second number is 14+1 = 15
The third number is 14+2 =16
Answer:
y + 7 = 45(x + 2).
Step-by-step explanation:
y - y1 = m(x - x1)
Here m = 45 and (x1, y1) = (-2, -7) so we have:
y - (-7) = 45(x - (-2))
y + 7 = 45(x + 2).
260 quarts * 36 hours = 9,360 quarts
260 * 20 hours = 5,200 quarts ---> 260 quarts / 10 hours = 26 quarts per hour ---> 26 quarts * 4= 104 quarts ---> 5,200 + 104 = 5,304 quarts per day
Let's start with triangle RST. This is a 30-60-90 triangle, which means it has the relationship x - x sqrt(3) - 2x.
If RS is 2 sqrt(3), then ST must be 2 and RT must be 4.
Triangle QRT is a 45-45-90 triangle, which means it has the relationship x - x - x sqrt(2).
If RT is 4, then RQ must also be 4.
Answer: x = 4
Hope this helps!
We can use the subtraction property of logs to expand the right side of the equation:
log(1/H*) = log(1) - log(H*)
No matter what base we’re using, log(1) = 0, so this simplifies to -log(H*). We’re also given a pH value of 3.6, so we can substitute this value into the original equation along with -log(H*) to get
3.6 = -log(H*)
Multiplying by -1 on both sides:
-3.6 = log(H*)
And rewriting in exponential form:
H* = 10^(-3.6) = 0.0003 (rounded to the nearest ten thousandth)
