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2 years ago

What is the volume of the cube if the side length is 40cm

Mathematics

1 answer:

swat322 years ago

7 0

Answer:

The formula to find the volume of a cube : s^3 so

S=40 cm

Now

by the formula,

40^3

64000

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An object is dropped from a height of 400 feet. The amount of time, in seconds, the object takes to hit the ground can be found

lidiya [134]

-16t^2+400=0

16t^2=400

take square root on both sides.

$\sqrt{16t^2} =\sqrt{400}$

4t=20

t=20/4

t=5

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3 years ago

What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?

Akimi4 [234]

$\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
a_4&-4096rrr\\
&-4096r^3\\
&64
\end{array}\implies -4096r^3=64
\\\\\\
r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}}
\\\\\\
r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\
-------------------------------$

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-\frac{1}{4}\\
a_1=-4096\\
n=6
\end{cases}
\\\\\\
a_6=-4096\left( -\frac{1}{4} \right)^{6-1}\implies a_6=-4^6\left( -\frac{1}{4} \right)^5$

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3 years ago

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Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?

lilavasa [31]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 2 &,& 3~) 
% (c,d)
&&(~ 4 &,& -3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-3}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}$

now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus

$\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{-3}{1}\\\\
negative\implies +\cfrac{3}{ 1}\qquad reciprocal\implies +\cfrac{ 1}{3}\implies \cfrac{1}{3}$

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3 years ago

Pls help don’t answer if you don’t know ill give out brainliest

Vesnalui [34]

I want to help but i cant see the picture! tell me the question and i will solve it!

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3 years ago

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What is the answer for <br> -6n-2n=16

djverab [1.8K]

Answer:

n=-2

Step-by-step explanation:

-6n-2n=16

-8n=16

n=16/-8

n=-2

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4 years ago

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What is the volume of the cube if the side length is 40cm​

What is the volume of the cube if the side length is 40cm