X=3 is a relation because there is no context for it to be a function. x is a variable, and there is no equation to support it. Therefore, it has to be 3.
Answer:
a₅₂ = - 212
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 8 and d = a₂ - a₁ = - 12 - (- 8) = - 12 + 8 = - 4 , then
a₅₂ = - 8 + (51 × - 4) = - 8 - 204 = - 212
9514 1404 393
Answer:
yes
Step-by-step explanation:
A horsepower is on the order of 746 watts*, so 2 1/2 times that will be less than 2500. The motor can be used to drive the fan.
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* "horsepower" has several different definitions, depending on the application and the units system being used. All are less than 1000 W, so the above conclusion is valid in any case.
Answer:
2, 1, 3, 4, 6, 5
Step-by-step explanation:
The rate of change of function f(x) on an interval [a, b] is defined as ...
average rate of change = (f(b) -f(a))/(b -a)
For the function h(x) = 2^-x, this will be ...
arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)
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1. For the interval [0, 2], the average rate of change is ...
arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375
1 goes in the 2nd answer blank
2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.
Answer: See explanation
Step-by-step explanation:
Based on the scenario in the question, the expression to calculate the number of boxes of sugar Alonso can buys will be:
= 2.75 + 11.50S ≤ 55
When solved further, this will be:
2.75 + 11.50S ≤ 55
11.50S ≤ 55 - 2.75
11.50S ≤ 52.25
S ≤ 52.25 / 11.50
S ≤ 4.54
He can buy 4 boxes of sugar