The answer is 52. remember PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction) you can use "please excuse my dear aunt sally" to help you remember! :)
Answer: it will take 9 hours.
Step-by-step explanation:
The rain is falling at the rate of 1.5 inches per hour. This means that the height of water in the barrel is increasing in arithmetic progression.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 18 inches
d = 1.5 inches
The expression becomes
Tn = 18 + 1.5(n - 1)
For the number of hours it would take to collect 30 inches of rain in the barrel, Tn = 30
Therefore,
30 = 18 + 1.5(n - 1)
1.5(n - 1) = 30 - 18
1.5(n - 1) = 12
n - 1 = 12/1.5 = 8
n = 8 + 1
n = 9
So,
The slope-intercept form is as follows:
y = mx + b
"m" is the slope, and "b" is the y-intercept. The y-intercept for this equation is (0,b).
Our equation is
That means that
is the slope, and -3 is the y-intercept.
The sin <ABC means that AC/AB. So we know AB=34. AC/AB=8/17. So the length of AC is 16. cos<ABC means BC/AB. tan<ABC means AC/BC.
Answer:
Step-by-step explanation:
1 Simplify 19-7 to 12.
12^2−8×3+4×3−5
2 Simplify 12^2 to 144
144−8×3+4×3−5
3 Simplify 8×3 to 24.
144−24+4×3−5
4 Simplify 4×3 to 12.
144−24+12−5
5 Simplify 144-24 to 120.
120+12-5
6 Simplify 120+12 to 132.
132-5
7 Simplify.
127
