2 years ago

write an equation that defines the graph of y=x^2 after it is shifted vertically 2 units up and horizontally 3 units left

Mathematics

1 answer:

kenny6666 [7]2 years ago

4 0

The new equation is y = (x + 3)^2 + 2

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The volume of a storage tank is 1695.6 m3. The radius is 6m. How tall is the storage<br> tank?

Andreas93 [3]

Answer:

the storage tank is a cylinder.

The formule to calculate the volume is:

$v =\pi{r}^{2} \times h$

$h = v \div \pi {r}^{2}$

$h = 1695.6 \div 36 \times \pi = 14.992$

7 0

2 years ago

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<img src="https://tex.z-dn.net/?f=%5Csqrt25" id="TexFormula1" title="\sqrt25" alt="\sqrt25" align="absmiddle" class="latex-formu

anzhelika [568]

Answer:

Rational

Step-by-step explanation:

The square root of 25 is 5, which is a rational number.

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2 years ago

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Find the sum of a finite geometric sequence from n = 1 to n = 6, using the expression −2(5)n − 1.

vazorg [7]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=5\\
n=6
\end{cases}
\\\\\\
S_6=-2\left( \cfrac{1-5^6}{1-5} \right)$