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Kobotan [32]
3 years ago
12

A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

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Vesna [10]

Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(-3) = x = -3

f(x) = x²

Step 2: Substitute and Evaluate

f(-3) = (-3)²

f(-3) = 9

7 0
3 years ago
The prism shown has a volume of 3,024 cm3.
Arlecino [84]

Answer:

14cm

Step-by-step explanation:

To find volume, you need to multiply the height width and length together. So when you have one missing measurement, to find it, you need to do the same steps except for put a variable for the missing measurement. And continue to do the problem as you would. Here is how I solved it.

V=12x18xH

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Then to find the missing side, do 3024/216 which equals 14.

7 0
3 years ago
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Drag the correct graph to the box under the equation it corresponds to.<br><br> HELP YOU GUYS
ra1l [238]

Answer:

<h2>See below</h2>

Step-by-step explanation:

I can't drag and drop the graphs, but I can graph the equations shown. Then, all you will have to do is match the graphs shown the the graph that I will provide.

<h3>EQUATION 1: y = x² - 2</h3>

Graph Properties:

Opens up

Vertex is 0, -2

Axis of symmetry is x = 0

Graph photo shown in file called equation 1 graph

<h3>EQUATION 2: y = 2x²</h3>

Graph Properties:

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Axis of symmetry is x = 0

Graph photo shown in file called equation 2 graph

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I'm always happy to help :)

5 0
3 years ago
10m^3 of air weigh 13 kg.
Lemur [1.5K]

49.686‬ kg

Step-by-step explanation:

Since the density of the air remains constant in the question

We can represent this equation as a ratio;

10 m³ =  13 kg

(4.2 * 3.5 * 2.6)  m³ = ? (x) kg

4.2 * 3.5 * 2.6 = 38.22

We cross multiply

38.22 * 13 = 10 * x

X = 496.86‬ /10

X = 49.686‬

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30GB trust me I will not let you fail

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120/4 = 30gb

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