Answer:
see below
Step-by-step explanation:
All of the given data sets have x-values that are sequential with a difference of 1. That makes it easy to determine the sort of sequence the y-values make.
<u>first choice</u>: the y-values have a common difference of -2. This will be matched by a linear model.
<u>second choice</u>: the y-values have a common difference of +2. Again, this will be matched by a linear model.
<u>third choice</u>: the y-values have a common ratio of -2. This will be matched by an exponential model.
<u>fourth choice</u>: the y-value differences are 3, 5, 7, increasing by a constant amount (2). This is characteristic of a sequence that has a quadratic model.
Answer:
z (min) = 705
x₁ = 10
x₂ = 9
Step-by-step explanation:
Let´s call x₁ quantity of food I ( in ou ) and x₂ quantity of food II ( in ou)
units of vit. C units of vit.E Cholesterol by ou
x₁ 32 9 48
x₂ 16 18 25
Objective function z
z = 48*x₁ + 25*x₂ To minimize
Subject to:
1.-Total units of vit. C at least 464
32*x₁ + 16*x₂ ≥ 464
2.- Total units of vit. E at least 252
9*x₁ + 18*x₂ ≥ 252
3.- Quantity of ou per day
x₁ + x₂ ≤ 35
General constraints x₁ ≥ 0 x₂ ≥ 0
Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:
z (min) = 705
x₁ = 10
x₂ = 9
Answer: 60 degrees
Step-by-step explanation: triangles are come to 180 if you add all angles correctly. therefore if you do 180-90-30, you'll get 60.
Answer:
26 children
Step-by-step explanation:
346-8*40
346-320
26
Answer:
p ≤ 8
Step-by-step explanation:
Given the following :
Maximum weight elevator can hold ≤ 1800
Weight of delivery person and packages = 520 pounds
Average weight of a person = 160 pounds
Inequality to show how many additional people elevator can hold?
(weight of delivery person and packages + average weight of persons * number of persons) ≤ 1800
Let p = number of persons
(520 + 160p) ≤ 1800
160p ≤ 1800 - 520
160p ≤ 1280
p ≤ 1280 / 160
p ≤ 8