(2x) + 11 < 44
x is multiplied by two because we are looking for twice of x. 11 is added to the 2x because we are looking for eleven more than the sum of twice of x. Since 2x + 11 is less than 44, we use the lesser than ( < ) symbol.
Answer:
5.131 × 10¹⁴ Hz
Step-by-step explanation:
<u>Planck relation</u>
where:
- E = Energy of the photon (J).
- h = Planck's constant (J · s).
- f = frequency of light produced (Hz).
Given values:
- E = 3.4 × 10⁻¹⁹ J
- h = 6.626 × 10⁻³⁴ J · s
Substitute the given values into the formula and solve for f:
Answer:
The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
Step-by-step explanation:
Mean SAT scores = 1026
Standard Deviation = 209
Mean ACT score = 20.8
Standard Deviation = 4.8
We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.
The formula to calculate the z-score is:
Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.
z-score for junior scoring 860 in SAT exam will be:
z-score for junior scoring 16 in ACT exam will be:
The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.
I got you, bro
Answer:
(x+4)(x+18)
Explanation
Let's factor x2+22x+72
x2+22x+72
The middle number is 22 and the last number is 72.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 22
Multiply together to get 72
Can you think of the two numbers?
Try 4 and 18:
4+18 = 22
4*18 = 72
Fill in the blanks in
(x+_)(x+_)
with 4 and 18 to get...
(x+4)(x+18)
Answer:
(x+4)(x+18)