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Free_Kalibri [48]
3 years ago
9

5 x (10^2) is equal to: 450 4,500 45,000 450,000

Mathematics
1 answer:
vazorg [7]3 years ago
4 0
5 x (10^2) =
5 x 100 = 500

I guess you mean:
4,5 x (10^2) =
4,5 x 100 =
450

Which acctually is a valid answer.
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Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
kari74 [83]
10, 14, 18 ....

notice, we get the next term by simply adding 4 to the current term, thus "4" is the "common difference, and we know that 10 is the first term.

\bf n^{th}\textit{ term of an arithmetic sequence}
\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=10\\
d=4\\
n=17
\end{cases}
\\\\\\
a_{17}=10+(17-1)(4)\implies a_{17}=10+(16)(4)
\\\\\\
a_{17}=10+64\implies a_{17}=74\\\\
-------------------------------

\bf \textit{ sum of a finite arithmetic sequence}
\\\\
S_n=\cfrac{n(a_1+a_n)}{2}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
----------\\
a_1=10\\
a_{17}=74\\
n=17
\end{cases}
\\\\\\
S_{17}=\cfrac{17(10+74)}{2}\implies S_{17}=\cfrac{17(84)}{2}\implies S_{17}=714
6 0
3 years ago
Read 2 more answers
Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?
Sergeu [11.5K]

Answer:

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Step-by-step explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )

5 0
3 years ago
Read 2 more answers
Determine the slope and y-intercept of the line.<br> y = -69x - 346
Tpy6a [65]

Answer:

Slope: -69

Y-intercept: -346 or (0, -346)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -69x - 346

    m = -69

    b = -346

6 0
3 years ago
me n my dad share the cost of a meal the ratio of 2:3 i payed £52.20 whats the total cost of the meal
Vlada [557]
For every 2 you pay your dad pays 3

52.20 / 2 = 26.1

26.1 * 3 = 78.30 ( amount dad pays)

total = 78.30 + 52.20 = 130.50


3 0
3 years ago
What number is 50%of 30
jonny [76]
50% of 30 is 15. 50% of anything is its half


8 0
3 years ago
Read 2 more answers
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