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3 years ago

Write a recursive definition for the sequence 21,16,11,6

1 answer:

8 0

Hello :
6-11=11-16=16-21=-5
<span> the sequence is arithmetic r=-5

</span><span>a recursive definition is : an+1 = an -5</span>

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What is the greatest common factor of 8

Alex787 [66]

We need another number, we can't find the greatest common factor of one number :)

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3 years ago

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Select the descriptions that are true of the equation y - 6= - 3(x+2). Select all that apply.

Lapatulllka [165]

The point-slope form:

$y-y_1=m(x-x_1)$

We have

$y-6=-3(x+2)\to y-6=-3(x-(-2))$

Therefore

<h3>slope = -3 and the point (-2, 6)</h3>

------------

2x - y = 4 <em>it's standard form Ax + By = C</em>

y = 2x - 4 <em>it's slope-intercept form y = mx + b</em>

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4 years ago

What is the volume of the solid generated when the region in the first quadrant bounded by the graph of y=x^3, the x-axis, and t

son4ous [18]

Answer:

The first thing we need to do is to find the area bounded by:

y = x^3

y = 0

between:

x = 0 and x = 2

This is the integral of the given function between x = 0 and x = 2, written as:

$\int\limits^2_0 {x^3} \, dx = \frac{2^4}{4} - \frac{0^4}{4} = 2^2 = 4$

This means that the area of the bounded region is 4 square units.

Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.

The volume is:

V = (4 square units)*(2*pi units) = 8*pi cubic units.

(Notice that no option coincides with this, there may be a mistake in the options)

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3 years ago

Write standard form, expanded form and word form at the top of the page write five numbers that are at least 8 digits long

Sindrei [870]

Answer:

Kindly check explanation

Step-by-step explanation:

28,136,720

Word form: Twenty eight Million, One hundred and thirty-six thousand, seven hundred and twenty

Expanded form: (2 * 10,000,000) + (8 * 1,000,000) + (1 * 100,000) + (3 * 10,000) + (6 * 1000) + (7 * 100) + (2 * 10) + (0 * 1)

2.) 67, 564, 312

Sixty seven million, five hundred and sixty four thousand, three hundred and twelve

(6 * 10,000,000) + (7 * 1,000,000) + (5 *100,000) + (6 * 10,000) + ( 4 *1000) + (3* 100) + (1 * 10) + (2 * 1)

3.) 534, 235, 260

Five hundred and thirty four million, two hundred and thirty five thousand, two hundred and sixty.

(5 * 100,000,000) + ( 3 * 10,000,000) + (4 * 1,000,000) + (2 * 100,000) + ( 3 * 10,000) + (5 * 1,000) + (2 * 100) + (6 * 10) + (0 * 1)

4.) 43, 780, 523

Fourty three million, seven hundred and eighty thousand, five hundred and twenty three.

(4 * 10,000,000) + (3 * 1,000,000) + (7 * 100,000) + (8 * 10,000) + (0 * 1000) + (5 * 100) + (2 * 10) + (3 * 1)

5.) 456,156, 156

Four hundred and fifty six million, one hundred and fifty six thousand, one hundred and fifty six

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4 years ago

What are the next 3 numbers in the number sequence?<br> 23,31,41, 53?

aksik [14]

Answer:

61, 71, 83

Step-by-step explanation:

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3 years ago

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