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Marat540 [252]
3 years ago
10

How many​ one-to-one correspondences are there between two sets with 5 elements​ each?

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0
1st element can be matched with 5
2nd element can be matched with 4
3rd element can be matched with 3
etc.
Total number of correspondences = 5*4*3*2*1 = 120
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The area of rectangle ABCD is represented by the expression 2x2 – 13x + 21. The area of rectangle WXYZ is represented by the exp
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Answer:

Step-by-step explanation:

2x²-13x+21+6x²+29x-5

=8x²+16x+16

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3 years ago
It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
IRISSAK [1]

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

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2 years ago
Find the midpoint (6,3) and (14,9)
scoray [572]

Answer:

(10,6)

Step-by-step explanation:

The equation you would use to solve this is (x1+x2/2 , y1+y2/2) so when you plug in the numbers you get this (6+14/2 , 3+9/2) which eventually simplifies into (10, 6)

3 0
3 years ago
Assume we cut the last piece of the pie into two sections (1 and 2) along ray BD
earnstyle [38]

Answer:

If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

Step-by-step explanation:

From statement, we know that measure of the angle ABC is equal to the sum of measures of angles ABD (<em>section 1</em>) and DBC (<em>section 2</em>), that is to say:

m \angle ABC = m\angle ABD + m\angle DBC (1)

If we know that m\angle ABC = 40^{\circ}, m\angle ABD = 2\cdot x + 3 and m\angle DBC = 4\cdot x + 7, then the value of x is:

(2\cdot x + 3)+(4\cdot x + 7) = 40^{\circ}

6\cdot x +10^{\circ} = 40^{\circ}

6\cdot x = 30^{\circ}

x = 5

Then, we check the angles of each section:

Section 1

m\angle ABD = 2\cdot x + 3

m\angle ABD = 13^{\circ}

Section 2

m\angle DBC = 4\cdot x + 7

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If we want the greatest portion of pie, then you must choose the section with the greatest angle. Therefore, we must choose Section 2. But if we want the smallest portion of pie, then we must choose Section 1.

6 0
3 years ago
Yao Xin puts 3/10 liters of potting soil in each pot for planting flowers. She has 17/3 liters of potting soil. How many pots ca
kari74 [83]

For this case defining variables we have:

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y: number of liters of potting soil in each pot.

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N = \frac{x}{y}

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Rewriting we have:

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Rounding to the previous whole we have:

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Answer:

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4 0
3 years ago
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