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Mrac [35]
3 years ago
13

a brand new candlestick has a length of one foot the candlestick is lit and left to burn at a rate of 1/2 inch per hour

Mathematics
1 answer:
Degger [83]3 years ago
3 0

Answer:

24 hours

Step-by-step explanation:

One foot is 12 inches. 12÷1/2=24 so it will take 24 hours for the candle to burn down.

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The universal set in this diagram is the set of integers from 1 to 15. place the integers in the correct place in the venn diagr
neonofarm [45]

Answer:


Step-by-step explanation:

Given :  universal set in this diagram is the set of integers from 1 to 15.

Solution :

The intersection of odd integer,multiples of 3 and Factors of 15 are 3,15

The intersection of odd integer and Factors of 15 are 1,5

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The remaining odd integers are 7,11,13

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Refer the attached figure for the answer.

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kolbaska11 [484]

Answer:

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Step-by-step explanation:

Given:

The expression to expand is given as:

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Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

(a + b)(c + d) = ac + ad + bc + bd

(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)

Therefore, the equivalent expression after expanding is given as:

(x-3)(x-9)(x-4)=x^3-16x^2+75x-108

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Evgen [1.6K]

Answer:

1,05

Step-by-step explanation:

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