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2 years ago

A_n=59-3(n-1), 1,2,3... Find the first four terms of the sequence given by the following

Mathematics

1 answer:

lawyer [7]2 years ago

6 0

9514 1404 393

Answer:

59, 56, 53, 50

Step-by-step explanation:

Use n = 1 through 4 and evaluate.

a1 = 59 -3(0) = 59

a2 = 59 -3(1) = 56

a3 = 59 -3(2) = 53

a4 = 59 -3(3) = 50

The first four terms are 59, 56, 53, 50.

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A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water. A 6-inch-diameter ball is placed w

evablogger [386]

The water in the cylinder will be 1179π in³. Thus, 2nd answer choice is correct.

<h3>What is the volume of a right circular cylinder?</h3>

Suppose that the radius of the considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

$V = \pi r^2 h \: \rm unit^3$

A cylinder has an 18-inch diameter and is 15 inches tall. It is filled to the top with water.

A 6-inch-diameter ball is placed within the cylinder, and then the cylinder is filled with water.

We have to find the volume of the empty cylinder and then the volume of the ball.

Subtract the latter from the former.

The volume of the cylinder = πr^2h.

= π(9 in)²(15 in)

= 1215π in³

Volume of the ball = (4/3)π(3 in)³

= 36π in³

Subtracting

= 1215π in³ - 36π in³

= 1179π in³

Thus, 2nd answer choice is correct.

Learn more about the volume of cylinder here:

brainly.com/question/12763699

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7 0

1 year ago

Model the function rule y = -2x - 3 with a table of values. Show your work

alexandr402 [8]

Here's a table of the function y=-2x-3

7 0

3 years ago

How much money does the average professional hockey fan spend on food at a single hockey game? That question was posed to 10 ra

Vinil7 [7]

Answer:

Now we have everything in order to replace into formula (1):

$18-2.262\frac{2.75}{\sqrt{10}}=16.03$

$18+2.262\frac{2.75}{\sqrt{10}}=19.97$

Step-by-step explanation:

Information given

$\bar X=18$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.75 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=10-1=9$

The Confidence is 0.90 or 90%, the significance is $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical vaue would be $t_{\alpha/2}=2.262$

Now we have everything in order to replace into formula (1):

$18-2.262\frac{2.75}{\sqrt{10}}=16.03$

$18+2.262\frac{2.75}{\sqrt{10}}=19.97$

5 0

2 years ago

A bag contains purple marbles and white marbles, 30 in total. The number of purple marbles is 6 less than 5 times the number of

Nastasia [14]

The answer would be 9

7 0

3 years ago

Read 2 more answers

PLEASE HELP FOR BRAINLIEST

tatiyna

Answer:

It is a linear equation
The graph of the equation will show that the <em>y</em> values increase as the <em>x</em> values increase.

Step-by-step explanation:

The pay Michael gets (y) is the amount per paper ($0.40) multiplied by the number of papers (x) and that product added to the daily base pay of $5. Michael's daily pay (in dollars) can be described by ...

y = 5.00 + 0.40x

This is a linear equation with a positive slope (meaning y goes up when x goes up).

6 0

3 years ago