Answer:
dont use this
Step-by-step explanation:
oinf+euiv=4
Answer:
option C
x = 2 , x = -5
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 12
exponents = (x² + 5x - 4) , (2x + 6)
12^(x² + 5x - 4) = 12^(2x + 6)
12^((x² + 5x - 4) /(2x + 6)) = 1
12^((x² + 5x - 4) -(2x + 6)) = 1
12^(x² + 5x - 4 - 2x - 6) = 1
12^(x² + 5x - 2x - 4 - 6) = 1
12^(x² + 3x - 10) = 1
ln (12^(x² + 3x - 10)) = ln(1)
(x² + 3x - 10)ln(12) = 0
ln(12) = 0 rejected
x² + 3x - 10 = 0
Now solve the quadratic equations by factorisation.
(x-2)(x+5) = 0
x = 2 , x = -5
I would use the pythagorean theorem to find the lengths of each side. a² + b² = c².
Side AB is one we're looking for. If you make other right triangle with that same side you can see that one length is 4 and the other is 3. So, 4² + 3² = c² → 25 = c² → 5 = c. Side AB is length 5.
Side AC is another. Do the same with that side and you get that one length is 4 and the other is 3. (This is the same one as above) so side AC is length 5.
Side BC is the last one. One of the lengths is 1 and the other is 1 → 1² + 1² = c² → 2 = c² → 1.414213562 = c so side BC is approximately length 1.41.
Add each length up and you get a perimeter of roughly 11.4
Answer: the sample size should be 39
Step-by-step explanation:
The sample mean is the point estimate for the population mean. Confidence interval is written as
Sample mean ± margin of error
Margin of error = z × σ/√n
Where
σ = population standard Deviation
n = number of samples
z represents the z score corresponding to the confidence level
From the information given,
σ = 4 minutes
Margin of error = 75 seconds. Converting to minutes, it becomes 75/60 = 1.25 minutes
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96
Therefore,
1.25 = 1.96 × 4/√n
1.25/1.96 = 4/√n
0.6378 = 4/√n
√n = 4/0.6378 = 6.27
n = 6.27² = 39
Answer:
Reflection over the x-axis
Step-by-step explanation:
To get from Triangle A to Triangle B, Triangle A must be reflected over the x-axis. On Triangle A, the left-most point is at (1, -2). The corresponding point on Triangle B is at (1, 2). The rule for reflecting over the x-axis is (x, y) -> (x, -y). So, (1, -2) -> (1, 2).
I hope this helps :))
