Find the fifth term of a sequence represented by f(n)=5n-2

Answers

Answer 1
Answer:

The fifth term of a sequence that is represented by f(n) = 5n - 2 will be 23.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The sequence is formulated in the function f(n) is given as,

f(n) = 5n - 2

The fifth term of a sequence is calculated as,

f(5) = 5 x 5 - 2

f(5) = 25 - 2

f(5) = 23

The fifth term of a sequence that is represented by f(n) = 5n - 2 will be 23.

More about the function link is given below.

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Answer 2
Answer: Hello there!

My best guess would be to plug in 5 into n.

So:

f (n) = 5n-2

f (5) = 5 (5) -2

f (5) = 25-2

f (5) = 23

This is my GUESS. I'm not sure how to do this problem (it's been a while since I've done this).

So PLEASE get a second opinion or ask a teacher!

Hope this helped!

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Estimate the sum for 1,537 times 242 then find the sum

Answers

Answer: Two values are 369600 and 300000.

Step-by-step explanation:

If we rounding the integers to nearest  ones ,

1537 \text{change into }1540\n\n242\text{ change into }240\n\nSo,\n\text{Sum will be }\n=1540* 240\n=369600

If we rounding the integers to nearest tens,

1537\text{ changes to }1500\n242\text{ changes to }200\nSo,\n\text{Sum will be }\n=1500* 200\n=300000

Hence, by estimation, we get

Two values from above two cases are 369600 and 300000.

Final answer:

The estimated product of 1,537 and 242 is 300,000. The exact product is 372,094.

Explanation:

The question is asking to first estimate and then find the exact product of 1,537 and 242. To estimate, we could round 1,537 to 1,500 and 242 to 200 and then multiply those round numbers. This gives us an estimate of 300,000.

For the exact calculation, we have to multiply 1,537 by 242 which equals 372,094.  So, the exact product of 1,537 and 242 is 372,094.

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What is the written form of the fraction 1/3 ? Patty stirred 1/3 cup of milk into the macaroni and cheese. A. one-third B. one third

Answers

One third is the written form.
Also, just a bit of extra information! The decimal of 1/3 is 0.33(recurring)

Rachel :)
Hey there, 1/3 is written as B. one third, fractions are NEVER written as one-third

Calculate Continuous Growth and DecayQuestion
You deposit $1,500 into a bank that pays 4% continuous interest. What is the account balance after 2 years?
Round your answer to the nearest cent

Answers

If $1500 is deposited during a bank at 4% compoundedcontinuously then we'll get $1624.95 at the tip of two years.

What is compound interest?

It refers to the interest calculated on the principal and accumulated interest. Sum of cash after t years if interest is compounded continuously is Pe^(rt).

How to calculate sum after compounding?

The principal amount= $ 1500, rate of interest=4%, time period=2 years.

Sum after 2 years when interest is compounded continuously may be calculated as under:

Sum=1500*e^(0.04*2)

=1500*e^(0.08)

=1500*1.0833 [e^(0.08)=1.0833]

=1624.95

Hence we'll get $1624.95 after 2 years if interest is compounded continuously.

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\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \n\n A=Pe^(rt)\qquad \begin{cases} A=\textit{accumulated amount}\n P=\textit{original amount deposited}\dotfill & \$1500\n r=rate\to 4\%\to (4)/(100)\dotfill &0.04\n t=years\dotfill &2 \end{cases} \n\n\n A=1500e^(0.04\cdot 2)\implies A=1500e^(0.08)\implies A\approx 1624.93

You roll a number cube. You roll a number that is greater than 2 but less than 5.

Answers

The possible number you rolled is 3 and 4
The number you rolled must the larger than 2 which is 3, 4, 5, 6, on a cube, but it must be less than five so the possible number is 3 and 4.

The five values for a data set are:minimum = 11

lower quartile = 12

median = 23.5

upper quartile = 27

maximum = 33

A number line going from 0 to 40 in increments of 5.

Where will the different sections of the box plot be located?

The box will go from to 27.

A line dividing the box will go at .

The left whisker will go from 11 to .

The right whisker will go from to 33.

Answers

Answer:

The box-and-whisker plot for the given question is as shown at the attached figure.

Minimum = 11

Lower quartile = Q1 = 12

Median = Q2 = 23.5

Upper quartile = Q3 = 27

Maximum = 33

So, according to the given data and the figure:

  • The box will go from 12 to 27                ⇒ Q1 to Q3
  • A line dividing the box will go at 23.5   ⇒ Q2
  • The left whisker will go from 11 to 12     ⇒ Minimum to Q1
  • The right whisker will go from to 27 to 33  ⇒ Q2 to Maximum

Answer:

The box will go from  12 to 27.

A line dividing the box will go at 23.5

The left whisker will go from 11 to 12

The right whisker will go from 27  to 33.

Step-by-step explanation:

Just did it

Which inequality is represented by the graph?Which point is a solution to the inequality?

Answers

Answer:

y > 2x + 0.75

Step-by-step explanation:

We are given the following information:

The line in the graph passes through two points (0,0.75), (2,4.75)

We will find the equation of this straight line with the help of two point equation of straight line.

The equation of line is given by:

(y-y_1) = \displaystyle(y_2-y_2)/(x_2-x_1)(x-x_1)

where, (x_1,y_1), (x_2.y_2) is the point through which the line passes.

The equation of line is:

(y-0.75) = \displaystyle(4.75 - 0.75)/(2-0)(x-0)\n\n(y-0.75)= 2x\ny = 2x + 0.75

This line is not a part of the shaded region. Also shaded region lies on the left side of the line.

Hence, the inequality represented by graph is:

y > 2x + 0.75

Out of the given points, (2,5) satisfies the above inequality.

y > 2x + 0.75\n5 > 4 + 0.75 = 4.75

Answer:

The first answer is :  y > 2x + (3/4)

The second answer is : (2, 5)