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2 years ago

What is the twentieth term of the arithmetic sequence 21, 18, 15, 12, ... ?

Mathematics

1 answer:

Vaselesa [24]2 years ago

8 0

Answer:

-36

Step-by-step explanation:

21, 18, 15, 12....

All you have to do is subtract 3 less on each number you get, until u get to the twentieth term....

21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, -36

-36 is the twentieth term of this arithmetic sequence

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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Name the pairs of equivalent ratios: 2:3, 9:12, 8:5, 1:2, 2:1, 16:10, 3:6, 6:9, 5:8, 3:4 Tell how you know they are equivalent.

Svetach [21]

Answer:

Step-by-step explanation:

2:3 And. 6:9

3:4 And 9:12

8:5 and 16:10

1:2. And 3:6

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2 years ago

A van and a bicycle move towards each other. The speed of the van is 80 km per hour, and the speed of the bike is 20 km per hour

otez555 [7]

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Bike > ________300km_________< Van

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In one hour, the bike will have moved 20km and the van would have moved 80km.

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300km-(20km+80km) = 200km

So now the distance between them is 200km.

Now another hour passes. The distance between them was 200km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

200km-(20km+80km) = 100km

So now the distance between them is 100km

Now another hour passes. The distance between them was 100km. But the bike moved 20km and the van moved 80km, since its been one hour. Which means the distance between them is less.

100km-(20km+80km) = 0km

So now the distance between them is 0km, which means they have met. If we count, it took them 3 hours.

Step 1)

Add both speeds. 20km+80km=100km

Step 2)

Total distance between them = 300km

So do 300km/100km = 3hours.

______

The solution is: .

————

Hope this helped!

4 0

2 years ago

What is the reference angle for the angle with measure −π4?

tresset_1 [31]

Answer:

D -7π4

Step-by-step explanation:

Just took the test my dude :D

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2 years ago

Read 2 more answers

Using logarithm table evaluate the <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%20%5D%7B1.376%7D%20%7D%7B%20

DedPeter [7]

Answer: 3.845312455 just put it in a scientific calculator

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3 years ago

Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees a

Ivenika [448]

Answer:

<h2>70 possible groups</h2>

Step-by-step explanation:

Given the total number of employee to be equal to 12 temporary employee.

Number of women employee = 5 women

Number of men employee = 12 - 5 = 7 men

If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.

Combination has to do with selection. For example, if r objects are to be selected from n pool of similar objects, this can be done in nCr different ways.

$nCr = \frac{n!}{(n-r)!r!}$

According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .

$5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups$

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3 years ago