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Fudgin [204]
4 years ago
12

4. A bank vault has 3 locks with a key for each lock. Key A is owned by the bank manager. Key B is owned by the senior bank tell

er. Key C is owned by the trainee bank teller. In order to open the vault door at least two people must insert their keys into the assigned locks at the same time. The trainee bank teller) can only open the vault when the bank manager is present in the opening. X= Bank Manager Y= Senior Bank teller Z= Trainee bank teller. (25 marks) LO 01 a) Construct a truth table for this system
Mathematics
1 answer:
Amanda [17]4 years ago
6 0

1 means that he is present, 0 means that he is not.

True means that they can open.

\begin{array}{cccccccccccc} \text{X} &&& \text{Y} &&& \text{Z} &&& \text{True} \\1 &&& 1 &&& 1&&& 1  \\ 1 &&& 1 &&& 0&&&1 \\  0 &&& 1 &&& 1&&&0 \\  1 &&& 0 &&& 1&&&1 \\  0&&& 1 &&& 0&&&0 \\   0 &&& 0 &&& 1&&&0 \\  1 &&& 0 &&& 0&&&0 \\  0 &&& 0 &&& 0&&&0 \\ \end{array}

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Which of the following algebraic expressions is not simplified?
Hunter-Best [27]

Answer:

B. x+2x

Step-by-step explanation:

we will verify each options

option-A:

we have

x+1

we can see that x and 1 are different terms

so, they are not like terms

so, we can not combine or simplify it

so, this is in simplest form

this is FALSE

option-B:

we have

x+2x

we can see that 2x and x are same type of terms

so, they are  like terms

so, we can  combine or simplify it

x+2x=3x

So, this expression is not in simplest form

this is TRUE

option-C:

we have

x^2+x

we can see that x^2 and x are different terms

so, they are not like terms

so, we can not combine or simplify it

so, this is in simplest form

this is FALSE

option-D:

we have

5x^3-x

we can see that 5x^3 and x are different terms

so, they are not like terms

so, we can not combine or simplify it

so, this is in simplest form

this is FALSE



7 0
3 years ago
In isosceles ΔABC, AC = BC, AB = 6 in, CD ⊥ AB, and CD = 3 in. Find the perimeter of the isosceles triangle.
Hoochie [10]

Answer:

Step-by-step explanation:

Consider the given triangle ABC, we have AC = BC, AB = 6 in, CD ⊥ AB, and CD = 3 in. Using ΔCDB, we have

(CB)^{2}=(CD)^{2}+(DB)^{2}

(CB)^{2}=(3)^{2}+(3)^{2}

CB=\sqrt{9+9}

CB=\sqrt{18}in

Therefore, CB=CA=\sqrt{18}in (Given)

Now, Perimeter of an isosceles triangle is given By: 2a+b

⇒2(\sqrt{18})+6=2(4.24)+6=8.48+6=14.48in

which is the required perimeter of isosceles triangle.

6 0
3 years ago
Read 2 more answers
Tom made fruit punch for a party. He mixed 2 gallons of orange juice, 4 quarts of pineapple juice, 3 pints of cranberry juice, a
Lunna [17]

Answer:

15.5 quarts

Step-by-step explanation:

1.5 +8 + 4 + 2

there is need to convert the measures that are not in quarts to quarts

1 gallon  = 4 quarts  : 2 x 4 = 8 quarts

1 cup = 0.25 quarts : 0,25 x 8 = 2 quarts

1 pint = 0.5 quarts : 0.5 x 3 = 1.5 quarts

Total quarts = 1.5 +8 + 4 + 2 = 15.5 quarts

8 0
3 years ago
7.21 as a percentage
kirill115 [55]
721% is the right answer.
5 0
3 years ago
Question<br> Francie rode her bike for 2.5<br> hours at 12 miles per hour. How far did she ride?
DochEvi [55]

Answer:

30 miles

Step-by-step explanation:

2.5 h

12 miles per hour

12x2.5=30

6 0
3 years ago
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