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3 years ago

Write a formula for the sequence of cube numbers: 1, 8, 27, 64, ….

Mathematics

1 answer:

Marianna [84]3 years ago

4 0

Answer: $n^3$ , where n = 1,2,3,4,.....

Step-by-step explanation:

The given sequence : 1, 8, 27, 64, ….

We observe that the terms are perfect cubes of consecutive integers (starting from 1) .

Terms can be written as:

First term = $a_1=1=1^3$

Second term= $a_2=8=2^3$

Third term = $a_3=27=3^3$

Fourth term = $a_4=64=4^3$

Thus , for any nth term ,the formula for the sequence is : $n^3$ , where n = 1,2,3,4,.....

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4.009 x 10-3 in decimal form

katrin2010 [14]

Answer:

the 3 represent a one thousand

so that means 4.oo9* 1000 = =49

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3 years ago

Distribute the problem <br> 2(3-8y)

77julia77 [94]

Answer:

Step-by-step explanation:

Hello!

apply distributive law

$a(b - c) = ab - ac$

2(3-8y)=2.3-2.8y

2.3=6
-2.8y= -16y

=6-16y

Hope it helps!

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2 years ago

*will give brainlist**okay so u want to know how much diapers u will use for 3 years basically and then the details to help u ea

pochemuha

ok so divide 1500 by 250 to determine how many boxes you need to by in 1 year

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So the answer is you will spend $540 in total

8 0

3 years ago

What is the equation of a line that passes through the points (-3, 4) and (2,8)?

ziro4ka [17]

Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (-3,4) and (2,8) in the above formula, we get;

$m=\frac{8-4}{2+3}$

$m=\frac{4}{5}$

Thus, the slope of the line is $m=\frac{4}{5}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

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

Substituting the point (-3,4) and $m=\frac{4}{5}$ in the above formula, we have;

$y-4=\frac{4}{5}(x+3)$

$y-4=\frac{4}{5}x+\frac{12}{5}$

$y=\frac{4}{5}x+\frac{12}{5}+4$

$y=\frac{4}{5}x+\frac{32}{5}$

Thus, the equation of the line is $y=\frac{4}{5}x+\frac{32}{5}$

6 0

3 years ago

. A survey of 30 students is taken. 11 students say that mathematics is their favorite subject. Based on this survey, how many s

Sveta_85 [38]

Ok, so based on a survey - you know that out of 30 students, 11 said that their favourite subject is mathematics. :-)

This means that:

11/30 of these students think mathematics if their favourite subject.

Now, in order to answer your question, we are going to have to change the denominator of the fraction above to 1000. Whatever we do to the denominator of this fraction, we must do to the numerator of this fraction.

Example:

$\frac { 11 }{ 30 } \times \frac { \frac { 1000 }{ 30 } }{ \frac { 1000 }{ 30 } } \\ \\ =\frac { \frac { 11000 }{ 30 } }{ 1000 } \\ \\ =\frac { 366.\dot { 6 } }{ 1000 }$

This means that rounded to the nearest ten, theoretically speaking, 370 students out of 1000 would say that mathematics is their favourite subject.

7 0

4 years ago

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