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AlekseyPX
3 years ago
6

(b)The sum of n terms of a certain series is 3n² + 10n for all values

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

Step-by-step explanation:

The nth term just mean how to work out the next number in he series. In this series of numbers, you have to square three n and add it onto 10 n to do this.

N is the term- the number it comes in the sequence.

Example:

2 3 4 5 6

2= the first terof the sequence

3= second term

4=3rd term

And so on

To work out what the next term is (6th term) you use this expression:

N+1

The first term is 2. As it is the first n=1. 1+1=2 so that works

The seco d term is 3. As it is the second term n=2. 2+1+3 so that works

And so on

This might help

But you have to do the rest

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About 80% of the egg rolls sold in the US grocery stores are made in Houston Texas .A skilled wrapper can make 4,000 egg rolls i
alukav5142 [94]

If a skilled wrapped does 4000 egg rolls in an 8-hour day, then he does 4000 / 8 = 500 egg rolls per hour. It means that he can make 500 / 60 = 8,(33) egg rolls per minute. So Bettie's claim is not reasonable.

It would be reasonable if the wrapper would make 1 * 60 = 60 egg rolls per hour and 60 * 8 = 480 egg rolls in one shift. So she's far away from truth :)

Hope this helps!

7 0
3 years ago
Read 2 more answers
Charlie guesses that his dog weighs 34. 5 pounds. The dog actually weighs 32. 7 pounds. What is the percent error in Charlie’s g
expeople1 [14]

Percent error is the amount of error to actual value, in percent. The percent error in Charlie’s guess is approximately: Option D: 5.5%

<h3>How to calculate the percent error?</h3>

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

\rm Percent \: Error = |\dfrac{Error}{Actual value}|\times 100 \\\\Percent \: Error = | \dfrac{\text{(Actual Value - Estimated Value)}}{Actual value}|\times 100 \\

(here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5)

For the given case, it is specified that:

Actual weight of dog = 32.7 pounds

Guessed weight of dog, by Charlie : 34.5 pounds.

Error = 32.7 - 34.5 = -1.8 pounds

Thus, percent error in Charlie's guess is calculated as:

\text{Percent Error} = |\dfrac{-1.8}{32.7}| \times 100 \approx 5.5\%

Hence, the percent error in Charlie’s guess is obtained approximately is given by: Option D: 5.5%

Learn more about percent error here:

brainly.com/question/25749180

3 0
2 years ago
35 POINTS! PLEASE HELP MEEE!!! HURRY PLEASE IM RUNNING OUT OF TIME!!!!!!!!!!!!!!!!!
lesantik [10]

Answer:

<h2>CYLINDER</h2>

Surface Area = 471.2 cm^2

<h2>TRIANGULAR PRISM</h2>

Surface Area = 60.75 m^2

Step-by-step explanation:

<h2>CYLINDER</h2>

The surface area formula for a cylinder is π x diameter x (diameter / 2 + height), where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is π x radius x 2 x (radius + height). ( π =3.14 )

FORMULA:

π x 5 x 2 x 15

WORK:

π x 5 = 15.7

15.7 x 2 = 31.4

31.4 x 15 = 471

<h2>TRIANGULAR PRISM</h2>

The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width1 + length x width2 + length x base.

FORMULA:

2 x (2.5 x 1.5/2) + (6 x 4) + (6 x 4) + (6 x 1.5)

WORK:

(2.5 x 1.5) = 3.75/2 = 1.875

1.875 x 2 = 3.75

(6 x 4) = 24

(6 x 4) = 24

(6 x 1.5) = 9

3.75 + 24 + 24 + 9 = 60.75

5 0
3 years ago
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Mr.Walden wrote the expression StartFraction p Superscript negative 5 Over q Superscript 0 EndFraction. He asked his students to
SSSSS [86.1K]

Answer:

Brianna

Step-by-step explanation:

(p^-5)/q⁰

(p^-5)/1

1/p⁵

1/p⁵ × q⁰

4 0
3 years ago
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Find the equation of a line that passes the points (5, -9) and (0, -3)
kobusy [5.1K]

Answer:

y = -6/5x - 3

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

<u>Step 1:  Find Slope</u>

m = \frac{y2-y1}{x2-x1}

m = \frac{-3 - (-9)}{0 - 5}

m = \frac{-3 + 9}{-5}

m = \frac{6}{-5}

m = \frac{-6}{5}

<u>Step 2:  Plug into Point Slope Form</u>

(y - (-3)) = -6/5(x - 0)

y + 3 - 3 = -6/5x - 3

y = -6/5x - 3

Answer:  y = -6/5x - 3

5 0
3 years ago
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