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JulijaS [17]
3 years ago
6

V36 What smallest number should be multiplied to 288 in order to make it a perfect cube?​

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

6

Step-by-step explanation: We observe that if 288 is multiplied by (2 x 3), then its prime factors will exist in triples. Thus, the required smallest number by which 288 be multiplied to make it a perfect cube i: (2 x 3)=6. 1,331 is a perfect cube.

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Find the solution of the system of equations.
Alexandra [31]

Answer:

x = -3

y = 9

Step-by-step explanation:

Add two equations up

4x + 5y - 9x - 5y = 33 - 18 add or subtract like terms

-5x = 15 divide both sides by -5

x = -3 we can use this information to find the value of y

4x + 5y = 33 replace x with -3

4 * (-3) + 5y = 33

-12 + 5y = 33 add 12 to both sides

5y = 45 divide both sides by 5

y = 9

5 0
3 years ago
How much more would $1000 earn in 5 years in an account compounded continuously than an account compounded quarterly if the inte
choli [55]
\bf ~~~~~~ \textit{Compounding Continuously Interest Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$1000\\
r=rate\to 3.7\%\to \frac{3.7}{100}\to &0.037\\
t=years\to &5
\end{cases}
\\\\\\
A=1000e^{0.037\cdot 5}\implies A=1000e^{0.185}\\\\
-------------------------------\\\\

\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3.7\%\to \frac{3.7}{100}\to &0.037\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &5
\end{cases}
\\\\\\
A=1000\left(1+\frac{0.037}{4}\right)^{4\cdot 5}\implies A=1000(1.00925)^{20}

compare both amounts.
8 0
3 years ago
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navik [9.2K]

Answer:

71 degrees

Step-by-step explanation:

its an isosceles triangle so those angles are equal. Draw it out if that helps you.

5 0
3 years ago
I need help with this please i can't figure out.
Gala2k [10]
That should be right, because the absolute value of -9 would be 9, but the negative sign in front makes it -9.
6 0
3 years ago
Read 2 more answers
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Answer: A do

Step-by-step explanation: Because for every two mile she run she walk three mile

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