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Lynna [10]
3 years ago
11

Draw a Hasse diagram of the partial order << of the set {2,3,4,6,8,9,10,12} where a << b iff b is divisible by a.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Step-by-step explanation:

Consider the provided set {2,3,4,6,8,9,10,12}

Let the set is A.

A={(2 \prec 4), (2 \prec 6), (2 \prec 8), (2 \prec 10), (2 \prec 12), (3 \prec 6), (3 \prec 9), (4 \prec 8), (4 \prec 12), (6 \prec 12)}

Hence the required Hasse diagram is shown in figure 1:

In the Hasse diagram 2 and 3 are on the same level as they are not related.

The next numbers are 4, 6, 9, and 10. 4, 6 and 10 are divisible by both 2. 6 and 9 are divisible by 3. Then 8 and 12 are divisible by 4 also 12 is divisible by 6.

Hence, the required diagram of the partial order of the set {2,3,4,6,8,9,10,12} is shown in figure 1.

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Write ACUTE, RIGHT, OBTUSE, STRAIGHT or REFLEX for each of the following: ( 5 marks)
soldier1979 [14.2K]

Answer:

a. obtuse angle

b. right angle

c. reflex angle

d. straight

e. acute angle

3 0
3 years ago
The total weight for a family of 4 hippos is 14,007 pounds. The mother hippo
jeyben [28]
The father hippo weighs 6,204 pounds.

You subtract the weight of the other hippos from the total weight of the family to get this.
5 0
3 years ago
PLEASE HELP‼️‼️Drag the expression that is the most reasonable measurement for each object.
Afina-wow [57]

Answer:

<em>A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters</em>

<em />

<em>B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters</em>

<em />

<em>C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers</em>

<em />

<em>D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers</em>

Explanation:

<u><em>A. Length of a tour bus.</em></u>

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10meters = 11 meters. Thus, this is a reasonable length.

<u><em>B. Width of an apple.</em></u>

The most appropiate unit to measure the width of an apple should be centimer. It certanly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4centimeters.

<u><em>C. Distance from Earth to a Satellite</em></u>

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is notreasonalbe (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

<u><em></em></u>

<u><em>D. Thickness of a human hair</em></u>

Of course, kilometers, meters, centimeters and even milimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ milimeters.

In the internet you can find that diameter of the humar hairis in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement fot the thickness of a human hair.

7 0
3 years ago
The function C(t) = 5t 0.1t + 3.3 models the amount of a drug in a persons bloodstream over a period of time. What is a reasonab
enyata [817]
<span>y = 50x/(x+33)
x≠-33
xy + 33y = 50x
33y = x(50-y)
33y/(50-y)= x

or y≠50

=> yϵ R - {50} </span>
7 0
3 years ago
Read 2 more answers
Please help!! See the attachment, please!​
topjm [15]

Answer:

946

Step-by-step explanation:

we know that

The formula to find the sum is equal to

S=(a1+an)n/2

where

a1 is the first term

an is the last term

n is the number of terms

In this problem we have

n=11

a1=(98-2(1))=96

an=(98-2(11))=76

substitute the values in the formula

S=(96+76)(11/2)=946

5 0
3 years ago
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