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Sedaia [141]
2 years ago
7

How will the volume of a cube change if its edge becomes twice as long; 3 times as long; 10 times as long; n times as long?

Mathematics
1 answer:
Mumz [18]2 years ago
8 0

Let, initial side is a.

When side is n times long, new side na.

Initial volume, V_i=a^3

Final volume, V_f=(na)^3=n^3a^3

Change in volume, V_f-V_i=\Delta V =a^3(n^3-1)

For, n = 2 :

\Delta V = 7a^3

n = 3 :

\Delta V = 26a^3

n = 10 :

\Delta V = 999a^3

Hence, this is the required solution.

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Whats the first term of geometric sequence ___ 1,5,25,
zzz [600]

Answer:

0,2

Step-by-step explanation:

the rule of this geometric sequence is: divide 5

we turn the sequence to 25,5,1,_

Like <u>25:5=5;5:5=1;</u><u>1:5=0,2</u>

I hope it'll help you much

Thank you for asking

7 0
3 years ago
Identify the independent and dependent variables in the following situation: The more hours Beth studies, the higher the GPA she
grandymaker [24]
Hours and studying: independent
GPA: dependent
5 0
3 years ago
What are the factors of 32?
Mumz [18]
The factors of 32 is 1,2,4,8,16, and 32.

7 0
2 years ago
Read 2 more answers
The polynomial equation x^3-4x^2+2x+10=x^2-5x-3 has complex roots 3+-2i What is the other root? Use a graphing calculator and a
kirill115 [55]

Answer:

B. -1

Step-by-step explanation:

x^3-4x^2+2x+10=x^2-5x-3

We know it has 3 roots since it is a 3rd degree polynomial.

Two of the roots are (3+2i) and (3-2i)

Subtract x^2-5x-3 from both sides

x^3-4x^2+2x+10-(x^2-5x-3)=x^2-5x-3 -(x^2-5x-3)

Distribute the minus sign

x^3-4x^2+2x+10-x^2+5x+3=x^2-5x-3 -x^2+5x+3

x^3 -5x^2+7x +13 =0

Graphing this equation , we see that it crosses the x axis at x=-1

That covers the three roots, 1 real and two complex

7 0
3 years ago
RS = 6y+2, ST=3y +7, and RT=13y-23 What is the value of y? y =________ Find STand RT. ST =_______ RT =_______
svlad2 [7]

Answer:

<h2><em> y = 8, ST = 31 and RT = 81</em></h2>

Step-by-step explanation:

Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT

Om substuting the expression into the formula;

6y+2+3y +7 = 13y - 23

collect the like terms

6y+3y-13y+2+7+23 = 0

-4y+32 = 0

Subtract 32 from both sides

-4y+32-32 = 0-32

-4y = -32

y = -32/-4

y = 8

Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST

ST = 3(8)+7

ST = 24+7

ST = 31

Similarly,

RT = 13y-23

RT = 13(8)-23

RT = 104-23

RT = 81

<em>Hence y = 8, ST = 31 and RT = 81</em>

6 0
3 years ago
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