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3 years ago

5

Match the angle with the quadrant in which it terminates.

1 answer:

ale4655 [162]3 years ago

8 0

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Determine 7th term in the geometric sequence whose first term is 5 and whose common ratio is 2.

blagie [28]

$\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=5\\
r=2\\
n=7
\end{cases}
\\\\\\
a_7=5\cdot 2^{7-1}\implies a_7=5\cdot 2^6\implies a_7=320$

7 0

3 years ago

A tip in a restaurant has been typically figured at 15% of the total bill.

Anastasy [175]

Answer:

4.5 dollars (before tax id assume)

5 0

3 years ago

Find the value of c that completes the square.<br> n2- 26n + c

saul85 [17]

Step-by-step explanation:

b^2=4ac

b= -26, a=1, c=?

-26^2=4*1*c

676=4c

c=676/4

c=169

4 0

3 years ago

(11-6)^2+6x2-(3+3)^2<br><br> A. 0<br><br> B. 1<br><br> C. 16<br><br> D. 26

Dahasolnce [82]

Answer: =1

Step-by-step explanation:

$\left(11-6\right)^2+6\cdot \:2-\left(3+3\right)^2$

$=5^2+6\cdot \:2-\left(3+3\right)^2$

$=5^2+6\cdot \:2-6^2$

$=25+6\cdot \:2-6^2$

$=25+6\cdot \:2-36$

$=25+12-36$

$=1$

3 0

2 years ago

Choose the correct simplification of the expression ( 4x/y)^2.

erik [133]

$\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2} \end{gathered}$}$

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

$\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} } \end{gathered}$}$

Expand (4x)².

$\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} } \end{gathered}$}$

Calculates 4 to the power of 2 and gets 16.

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} } \end{gathered}$} }$

6 0

1 year ago