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Natali5045456 [20]
3 years ago
14

Which three temperatures represent the same temperature?

Mathematics
2 answers:
Vesna [10]3 years ago
5 0
C. 0 degrees Celsius is the equal to 32 Fahrenheit and 273 Kelvin
Elena L [17]3 years ago
4 0

d ) 100°C, 212°F, 273 K


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What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?
grin007 [14]

A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.  

1. Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{4};
  • 5\cdot 4=20=\overline{9};
  • 5\cdot 5=25=\overline{3};
  • 5\cdot 6=30=\overline{8};
  • 5\cdot 7=35=\overline{2};
  • 5\cdot 8=40=\overline{7};
  • 5\cdot 9=45=\overline{1};
  • 5\cdot 10=50=\overline{6}.

The multiplicative inverse of 5 in Z_{11} is 9.

2.   Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{3};
  • 5\cdot 4=20=\overline{8};
  • 5\cdot 5=25=\overline{1};
  • 5\cdot 6=30=\overline{6};
  • 5\cdot 7=35=\overline{11};
  • 5\cdot 8=40=\overline{4};
  • 5\cdot 9=45=\overline{9};
  • 5\cdot 10=50=\overline{2};
  • 5\cdot 11=55=\overline{7}.

The multiplicative inverse of 5 in Z_{12} is 5.

3.  Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{2};
  • 5\cdot 4=20=\overline{7};
  • 5\cdot 5=25=\overline{12};
  • 5\cdot 6=30=\overline{4};
  • 5\cdot 7=35=\overline{9};
  • 5\cdot 8=40=\overline{1};
  • 5\cdot 9=45=\overline{6};
  • 5\cdot 10=50=\overline{11};
  • 5\cdot 11=55=\overline{3};
  • 5\cdot 12=60=\overline{8}.

The multiplicative inverse of 5 in Z_{13} is 8.

8 0
3 years ago
Help with algebra please
Lena [83]
Domain - [-3,3] - What x values there are
Range- [-3,1] - What y values there are
6 0
3 years ago
Read 2 more answers
2x + 3y = 15<br> x + y = 6<br> Work out the values of x and y.
Igoryamba

Answer:

x is 3

and

y is 3

Step-by-step explanation:

(2*3)+(3*3) = 15

6+9 = 15

6 0
3 years ago
Describe each locus of points
mixas84 [53]

Answer:

. from line l. In a coordinate plane, the locus of points 5 units ... 30. * .. ... The distance between parallel lines 6 and m is 12 units. Point A is on ...

Step-by-step explanation:

6 0
3 years ago
Crayola makes 3 red crayons for every 2 brown crayons. On Tuesday, their factory made 1,000 more red crayons than brown. How man
miskamm [114]

Answer:

They make <u>2000</u> brown crayons on that day.

Step-by-step explanation:

Given:

Crayola makes 3 red crayons for every 2 brown crayons.

On Tuesday, their factory made 1,000 more red crayons than brown.

Now, to find the number of brown crayons they make that day.

Let the numbers of brown crayons be x.

So, the number of red crayons = 1000+x.

As given, 3 red crayons for every 2 brown crayons.

So, the ratio is 3:2.

Thus, 3 is equivalent to 2.

So, 1000+x  is equivalent to x.

Now, to get the number of brown crayons by using cross multiplication method:

\frac{3}{2} =\frac{1000+x}{x}

<em>By cross multiplying we get:</em>

3x=2000+2x

<em>Subtracting both sides by 2</em>x<em> we get:</em>

x=2000.

Therefore, they make 2000 brown crayons on that day.

7 0
3 years ago
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