Step 1: find the area of the base
A=l*w = 8.25*5.5 = 45.375
Step 2: find the perimeter of the base
P=2l+2w = 2(8.25) + 2(5.5) = 16.5 + 11 = 27.5
Step 3: find the surface area of the prism
SA=2A+Ph = 2(45.375) + 27.5(4.5) = 90.75 + 123.75 = 214.5
Hope this helps
For this case we must resolve each of the inequalities and find the solution set.
Inequality 1:
We subtract 7 from both sides of the inequality:
We divide between 12 on both sides of the inequality:
Thus, the solution is given by all values of x less than
Inequality 2:
We add 8 to both sides of the inequality:
We divide between 5 on both sides of the inequality:
Thus, the solution is given by all values of x greater than
The solution set is given by:
(-∞, 
) U (
,∞)
Answer:
(-∞, ) U (,∞)
Answer:
(2h-3k)(m-n)
Step-by-step explanation:
factor by grouping, you can group the first two terms and the last two terms:
2h(m-n) + (-3k)(m-n)
there will be one factor in common, use that factor in combination with the factors that are not duplicated:
(2h-3k)(m-n)
Answer: b) τ = 0.3
Step-by-step explanation:
Given the data :
Amount of salt (x)____% body fat(y)
0.2 _______________20
0.3 _______________30
0.4 _______________22
0.5 _______________30
0.7 _______________38
0.9 _______________23
1.1 ________________30
The correlation Coefficient as obtained from the online pearson correlation Coefficient calculator is 0.3281 = 0.3 (to one decimal place) which implies that a weak positive correlation or relationship exists between the preferred amount of salt taken to the percentage body weight of an individual. This is because the value is positive and closer to 0 than 1. The closer the weaker the degree of correlation. With positive values implying a positive relationship (that is an increase in variable A leads to a corresponding increase in B and vice-versa).
Answer: They are inverses of each other
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Explanation:
We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.
and,
Both composite functions lead to x each time.
The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.
