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zheka24 [161]
3 years ago
7

Write the first five terms of the sequence defined by the explicit formula

Mathematics
2 answers:
Gwar [14]3 years ago
8 0

The correct answer  is: 19, 13, 3, -11, -29


denis-greek [22]3 years ago
5 0

<u>Answer:</u>

The correct answer option is: 19, 13, 3, -11, -29.

<u>Step-by-step explanation:</u>

We are given the following explicit formula for an arithmetic sequence:

a_n=21-2n^2

So to find the first five terms of this sequence, we will substitute the values of n (num here in the given formula:

a_1=21-2(1)^2\\\\a_1=19


a_2=21-2(2)^2\\\\a_2=13


a_3=21-2(3)^2\\\\a_3=3


a_4=21-2(4)^2\\\\a_4=-11


a_5=21-2(5)^2\\\\a_5=-29

Therefore, the first five terms of the sequence defined by the explicit formula a_n=21-2n^2 are 19, 13, 3, -11, -29.


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mrs_skeptik [129]

The number of outcomes possible from flipping each coin is 2, therefore;

  • The expression that can be used to find the number of outcomes for flipping 4 coins is: 2•2•2•2

<h3>How can the expression for the number of combinations be found?</h3>

The possible outcome of flipping 4 coins is given by the sum of the possible combinations of outcomes as follows;

The number of possible outcome from flipping the first coin = 2 (heads or tails)

The outcomes from flipping the second coin = 2

The outcome from flipping the third coin = 2

The outcome from flipping the fourth coin = 2

The combined outcome is therefore;

Outcome from flipping the 4 coins = 2 × 2 × 2 × 2

The correct option is therefore;

  • 2•2•2•2

Learn more about finding the number of combinations of items here:

brainly.com/question/4658834

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7 0
2 years ago
Order of operation with Integers
vovikov84 [41]

Answer:

8

Step-by-step explanation:

<em>we have to follow PEDMAS.</em>

<u>what we have to do in each operation:</u>

Parenthesis ~  100 + 8 to the second power

Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power

Multiplication  ~  none

Division ~  10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power

Addition ~ 100 + 8 to the 2nd power

Subtraction ~ 10 to the 2nd power - (100+8 to the second power)

<u>doing the work:</u>

we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.

E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.

we can skip M because there isn't any multiplication to do.

D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8

A: we already did the addition in the parenthesis part.

S: we already did the addition in the parenthesis part.

5 0
3 years ago
one light flashes every 2 minutes and another flashes every 7 minutes. If both lights flash together at 1pm, what is the first t
vovangra [49]
Light A flashes every 2 minutes while light B flashes every 7. The goal is to figure out when both lights flash at the same time and then figure out the other part later. You have to find the common multiples of 7 and 2. Meaning that you have to find out which number can they both be multiplied into. In this case, it is 14 because 7 can be multiplied by 2 to get 14 and 2 can be multiplied by 7. So if every 14 minutes they flash together at the same time, now you need to find out what time AFTER 3 will they both flash. You know that they both flashed at 1:00 so they will flash again at 1:14 and 1:28 and so on, but you need to find out when is the soonest they will flash after 3. 2 hours after the 1:00 flash will be 3:00 so that is 120 minutes. 120 minutes divided by 14 minutes comes to 8.5 but you dont need the decimal. Just simply multiply 14 by 8 and that comes to 112 minutes and if you add that to 1:00 you get 2:52. so they flashed at 2:52 so the next time they flash will be 14 minutes after 2:52. Sorry for the super long answer
6 0
3 years ago
Michael makes 60% of his free-throw attempts. If Michael attempts two free-throws,
nikklg [1K]
<h3>Answer:  12/25</h3>

====================================================

Reason:

60% = 60/100 = 0.6 is the probability of making any given free-throw.

1 - 0.6 = 0.4 is the probability of missing any given free-throw.

We have these probabilities

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  • B = P(missing 1st, making 2nd) = 0.4*0.6 = 0.24

The probability of making exactly one free throw is A+B = 0.24+0.24 = 0.48

Convert this to a fraction:

0.48 = 48/100 = (4*12)/(4*25) = 12/25

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2 years ago
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xxTIMURxx [149]

Answer: $122.50

Step-by-step explanation:

We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours

The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.

These times combined = 8 hours, 45 minutes

\frac{45}{60} minutes in an hour = \frac{3}{4} of an hour.

The total time worked was 8 \frac{3}{4} hours.

Multiply 8.75 × $14 = $122.50

I am not a professional, simply using prior knowledge.

Note- it would mean the world to me if you could mark me brainliest!

8 0
3 years ago
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