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2 years ago

Which number follows the three rules below?

Mathematics

2 answers:

Damm [24]2 years ago

7 0

The answer is #3. for next time remember the five or more raise the score, four or less let it rest.

gregori [183]2 years ago

5 0

Answer: 3. 199.751

rounded to nearest tenth is 199.8

rounded to nearest hundredth is 199.75

rounded to nearest whole number is 200.

Hope it helps!

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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

Car Value A family buys a car for 20,000The value of the car decreases about 20% each year. After 6 yr, the family decides to se

Advocard [28]

Answer:

No, the car is losing value not gaining it.

Step-by-step explanation:

3 0

3 years ago

Mr. Hamilton has 60,000 to invest in a tax-free fund and in a money market fund. The tax-free fund pays 7.5%, and the money mark

Valentin [98]

Answer:

He should invest $31,000 in tax-free to get a return of $4,790

Step-by-step explanation:

Let the amount he will invest in tax-free be $x while the amount in money market be $y

Adding both we have the total;

x + y = 60,000 ••••••••(i)

Then let’s work with the percentages;

7.5% of x + 8.5% of y = 4,790

7.5/100 * x + 8.5/100 * y = 4,790

7.5x/100 + 8.5y/100 = 4790

multiply through by 100

7.5x + 8.5y = 479000 ••••••(ii)

From i, y = 60,000 - x

Put this into ii

7.5x + 8.5(60,000-x) = 479000

7.5x + 510,000 -8.5x = 479000

8.5x - 7.5x = 510,000 - 479,000

x = $31,000

6 0

3 years ago

The ___ is the part of the neuron that carries information away from the cell body.

notka56 [123]

Answer:

axons

Step-by-step explanation:

The axons is the part of the neuron that carries information away from the cell body.

6 0

3 years ago

Read 2 more answers

Whoever answers this i will give them brainliest

allsm [11]

Answer:

1/2, 4 and 8 i think

6 0

3 years ago