<h3>
Answer:</h3>
<u>Given equation</u> :- 6m² + 7n
where,
- <u>Constant</u> = 0.
- <u>Variable</u> = m, n.
- <u>Terms</u> = 6m² , 7n.
Answer:
<u>x = 1.2√2</u>
Step-by-step explanation:
Taking the cosine value of the angle :
- cos 45° = 1.2/x
- 1/√2 = 1.2/x
- <u>x = 1.2√2</u>

We know that

because of the Pythagorean trig identity

.
Answer:
The rate is 1.75 feet/seconds or 105 feet/minute.
Step-by-step explanation:
Given that,
Li walks at a constant rate of 7 feet in 4 seconds
To find the constant of proportionality, divide 7 feet by 4 seconds.
So,

1.75 ft/s is the constant of proportionality
We know that, 1 minute = 60 seconds
k = 105 feet/minute
So, the rate is 1.75 feet/seconds or 105 feet/minute.
Answer: (20.86, 22.52)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-

, where
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
By considering the given question , we have


n= 58
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, 95% confidence interval for the amount of time spent on administrative issues will be :





Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)