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Evgen [1.6K]
3 years ago
15

which sequences are arithmetic? check all that apply. –8.6, –5.0, –1.4, 2.2, 5.8, … 2, –2.2, 2.42, –2.662, 2.9282, … 5, 1, –3, –

7, –11, … –3, 3, 9, 15, 21, … –6.2, –3.1, –1.55, –0.775, –0.3875, …
Mathematics
2 answers:
olga2289 [7]3 years ago
7 0

Your answers are A,C,D

sergiy2304 [10]3 years ago
4 0
In an arithmetic sequence, the next term is found by adding a constant term to each number to arrive at the next number. The common difference can be found by subtracting the first term from the second term.

-8.6, -5.0, -1.4, 2.2, 5.8....the common difference here is 3.6
-8.6 + 3.6 = -5.0
-5.0 + 3.6 = -1.4
1.4 + 3.6 = 2.2
2.2 + 3.6 = 5.8
so this IS an arithmetic sequence.

2,-2.2, 2.42, -2.662, 2.9282...there is no common difference..so this is not an arithmetic sequence

5,1,-3,-7,-11....common difference is -4
5 + (-4) = 1
1 + (-4) = -3
-3 + (-4) = -7
-7 + (-4) = -11
this IS an arithmetic sequence

-3,3,9,15,21...common difference is 6
-3 + 6 = 3
3 + 6 = 9
9 + 6 = 15
15 + 6 = 21
this IS an arithmetic sequence

-6.2, -3.1, -1.55, -0.775, -0.3875...this is not an arithmetic sequence
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rewona [7]
A bit blurry, but if I'm making it out correctly, that's

\displaystyle\int t\sqrt{(t^2-9)^3}\,\mathrm dt=\int t(t^2-9)^{3/2}\,\mathrm dt

Set u=t^2-9. Then \mathrm du=2t\,\mathrm dt, or t\,\mathrm dt=\dfrac{\mathrm du}2. The integral is then equivalent to

\displaystyle u^{3/2}\dfrac{\mathrm du}2=\frac12\int u^{3/2}\,\mathrm du
=\dfrac12\dfrac{u^{5/2}}{\frac52}+C
=\dfrac12\times\dfrac25u^{5/2}+C
=\dfrac15u^{5/2}+C
=\dfrac15(t^2-9)^{5/2}+C
6 0
3 years ago
Suppose the adult population of Micronesia is 100,000 people. Of these 100,000 people, 20,000 are not in the labor force. Of the
QveST [7]

Answer:

b. 6.25%

Step-by-step explanation:

In order to obtain the unemployment rate in Micronesia, you have to divide the amount unemployees that still in the labor force between the amount of people in the labor force.

The labor force is defined as the number of people employed plus the unemployed people who are seeking work.

The number of people employed is the people who work part time plus the people who are fully employed (the remainder of the 80,000 people). Therefore:

14,000 + (80,000 -16,000 - 4,000 - 14,000)

14,000+46,000=60,000

The number of unemployed people who are seeking work is:

4,000

The labor force is:

60,000 + 4,000 = 64,000

The unemployment rate is:

4,000/64,000 = 0.0625

Multiplying by 100 to obtain the percentage:

0.0625(100)=6.25%

7 0
3 years ago
Is the point (5, -7) a solution to the equation <br> Y &gt; -2x + 3
nordsb [41]
No,isn’t solution
-7>-2*5+3
-7>-7 wrong
3 0
3 years ago
How many different four-digit numbers can be formed with the numbers 7; 4; 5; 1; 2; 9; and 8?
vodomira [7]
Two answers are possible.
One is with the repetition of digits.
The other is without repetition of digits.
ANSWER 1: With Repetition
Numbers: 1,2,4,5,7,8
There are 4 digits __ __ __ __
1st digit can be filled by any of the 6 numbers.
Similarly 2nd, 3rd and 4th digits.
Hence each digit will have 6 possibilities.
Therefore no.of 4 digit numbers that can be formed are 6 x 6 x 6 x 6 = 1296
ANSWER 2: Without Repetition
4 digits __ __ __ __
Now the first digit can be filled by any of the six numbers. Therefore there are 6 possibilities
The second digit will have only 5 possibilities as one of the numbers gets used up by the 1st digit.
Similarly the 3rd and 4th digits will have 4 and 3 possibilities respectively.
Therefore no.of 4 digit numbers that can be formed are 6 x 5 x 4 x 3 = 360
8 0
3 years ago
Please help immediately
goldfiish [28.3K]

Answer:

The probability of rolling a 3 and then a 5 is 1/36.

Step-by-step explanation:

Rolling a six sided die is an independent event.  That means for each roll, you have the same chance of rolling a number as the previous roll.  Since there are six different numbers on a die, then there are six different outcomes for each roll - 1, 2, 3, 4, 5 or 6.  The chances that you would roll a '3' is 1 out of 6, or 1/6.  The chances that you would roll a '5' is also 1 out of 6, or 1/5.  However, when we combine these events, we need to take each probability and multiply them.  So, the probability of rolling a '3' and then a '5' is 1/6 x 1/6 or 1/36.  

7 0
3 years ago
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