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3 years ago

On Tuesday, there were 4 more sheep in the field. Write a ratio to show the

Mathematics

2 answers:

N76 [4]3 years ago

6 0

Answer:

ratio ----4:12

i got the answer by there are 4 sheep to the total number of animals in the feild, which is 12

so 4 to 12

noname [10]3 years ago

6 0

The ratio is definitely 4:13

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What is the nth term rule of the quadratic sequence below?

Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

Given sequence:

6, 20, 40, 66, 98, 136, ...

Calculate the first differences between the terms:

$6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136$

As the first differences are not the same, calculate the second differences:

$14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38$

As the second differences are the same, the sequence is quadratic and will contain an n² term.

The coefficient of the n² term is half of the second difference.

Therefore, the n² term is: 3n²

Compare 3n² with the given sequence:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

The second operations are different, therefore calculate the differences between the second operations:

$3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18$

As the differences are the same, we need to add 5n as the second operation:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2 &-2 & -2 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0

2 years ago

A day care worker found 28 children absent one day during an epidemic of chicken pox. If this was 35% of the total number of chi

creativ13 [48]

Answer:

80 children attend this day care,

Step-by-step explanation:

Let x represent the number of children that attend this day care center. The day care worker found 28 children absent one day during an epidemic of chicken pox.

If this was 35% of the total number of children attending the day care center, it means that the number of children absent one day during the epidemic of chicken pox can be expressed as

35/100 × x = 0..35×x = 0.35x

Therefore,

0.35x = 28

x = 28/0.35= 80

7 0

3 years ago

Luke shaded 20 squares on his hundreds grid Bella shaded 30 squares on her grid what two decimals are greater than Luke's decima

DanielleElmas [232]

I think it could be any 2 in between because it says greater than Luke's decimal which is .20 and less than Bekkas decimal which is .30

5 0

3 years ago

Read 2 more answers