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zavuch27 [327]
3 years ago
14

1)

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Note the common difference d between consecutive terms of the sequence

8 - 6 = 10 - 8 = 2

This indicates that the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 6 and d = 2, thus

a_{n} = 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula

Hence

a_{130} = (2 × 130) + 4 = 260 + 4 = 264

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Jessica brought a cooler to the family picnic filled with 32 cans of regular soda and 18 cans of diet soda. What is the ratio of
natta225 [31]

Answer:

ratio of regular to diet soda = 16/9

Step-by-step explanation:

Jessica brought a cooler to the family picnic filled with 32 cans of regular soda and 18 cans of diet soda. This means

Number of cans of regular soda = 32

Number of cans of diet soda = 18

Total number of soda brought to the family picnic = number of cans of regular soda + number of cans of diet soda

= 32 + 18= 50

the ratio of regular soda cans to diet cans in the cooler= 32/18

Divide numerator and demo minator by 2, we have 16/9.

The fraction cannot be reduced further. So ration of regular to diet soda = 16/9

8 0
3 years ago
The expression sin 57° is equal to
ValentinkaMS [17]

Answer:

cos(33^{\circ})

Step-by-step explanation:

Given

sin(57^{\circ})

Required

Determine an equivalent expression

In trigonometry:

sin(\theta)= cos(90^{\circ} - \theta)

In sin(57^{\circ})

\theta=57^{\circ}

Substitute 57^{\circ} for \theta

in sin(\theta)= cos(90^{\circ} - \theta)

sin(57^{\circ})= cos(90^{\circ} - 57^{\circ})

sin(57^{\circ})= cos(33^{\circ})

Hence, the equivalent expression is: cos(33^{\circ})

5 0
3 years ago
Can someone help me with this please thank you
o-na [289]
For 19 it is number 2 that does not have x = 20.
for 20 its the last one that the variable does not equal 12.
the answer for 21 is 6.
and the answer for 22 is 72.
8 0
3 years ago
The quotient of j and 8" can be expressed as:
jek_recluse [69]
The quotient is the result of dividing one number by another.
Quotient = dividend / divisor
For example:
7 : 5 = 7/5 ( 7/5 is the quotient )
Quotient = j : 8 = j / 8
Answer:
A ) j / 8 
6 0
3 years ago
What is the unit form using the largest unit possible for 4tens+6tens
Gre4nikov [31]
40 + 60 = 100

Hundrends place
4 0
3 years ago
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