Answer: 37 kilograms of walnuts should be mixed.
Step-by-step explanation:
Let x represent the number of kilograms of peanuts needed to make the mixture.
Let y represent the number of kilograms of walnut needed to make the mixture.
The mixture to be made is 100 kg. It means that
x + y = 100
The worth of the mixture is $3.24 per kilogram. It means that the total worth of the mixture is
3.24 × 100 = $324
peanuts cost $2.50 per kilogram and walnuts cost $4.50 per kilogram. It means that
2.5x + 4.5y = 324- - - - - - - - - -1
Substituting x = 100 - y into equation 1, it becomes
2.5(100 - y) + 4.5y = 324
250 - 2.5y + 4.5y = 324
- 2.5y + 4.5y = 324 - 250
2y = 74
y = 74/2 = 37
x = 100 - y = 100 - 37
x = 63
The probability that a plant in the experiment receives visible or ultraviolet light is 7/10.
<u>Step-by-step explanation</u>:
The total number of plants in the experiment = 30 plants
Plants that receive visible light alone = 12 plants
Plants that receive ultraviolet light alone = 15 plants
Plants that receive both visible and ultraviolet light = 6 plants
<u>step 1</u> :
<em>Probability = No. of required events / Total number</em>
<u>step 2</u> :
P(visible) = 12 / 30
P(ultraviolet) = 15 / 30
P(both) = 6 / 30
<u>step 3</u> :
P(visible or ultraviolet) = P(visible) + P(ultraviolet) - P(both)
= 12/30 + 15/30 - 6/30
= 21/30
P(visible or ultraviolet) = 7/10
Answer:
1. S(1) = 1; S(n) = S(n-1) +n^2
2. see attached
3. neither
Step-by-step explanation:
1. The first step shows 1 square, so the first part of the recursive definition is ...
S(1) = 1
Each successive step has n^2 squares added to the number in the previous step. So, that part of the recursive definition is ...
S(n) = S(n-1) +n^2
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2. See the attachment for a graph.
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3. The recursive relation for an arithmetic function is of the form ...
S(n) = S(n-1) +k . . . . . for k = some constant
The recursive relation for a geometric function is of the form ...
S(n) = k·S(n-1) . . . . . . for k = some constant
The above recursive relation is not in either of these forms, so it is neither geometric nor arithmetic.
Answer:
152
Step-by-step explanation:
So first I find the area of the big rectangle going down, which is 14x8=112
And then I do the flap thingies on the side: 5x4=20x2=40
112+40=152
Answer
C
Step-by-step explanation:
