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yaroslaw [1]
3 years ago
13

Find the product 4 times 80

Mathematics
1 answer:
Zolol [24]3 years ago
3 0
The answer is 320 to find the product you can just do 4 times 8 and then add a zero
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Find a1, for the arithmetic series<br> with S14 = - 420 and d = -6.
faust18 [17]

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} n = 14\\ d= -6 \end{cases} \\\\\\ a_{14}=a_1+(14-1)(-6)\implies a_{14}=a_1+(13)(-6)\implies a_{14}=a_1-78 \\\\[-0.35em] ~\dotfill

\bf \textit{sum of a finite arithmetic sequence} \\\\ S_n=\cfrac{n(a_1+a_n)}{2}\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ \cline{1-1} n= 14\\ S_{14}=-420\\ a_{14}=a_1-78 \end{cases}\implies S_{14}=\cfrac{n(a_1+a_{14})}{2} \\\\\\ -420=\cfrac{14[a_1+(a_1-78)]}{2}\implies -420=7(2a_1-78)\implies \cfrac{-420}{7}=2a_1-78 \\\\\\ -60=2a_1-78\implies 18=2a_1\implies \cfrac{18}{2}=a_1\implies 9=a_1

8 0
3 years ago
If<br> tan (0) = -√3<br> then one possible value of<br> 0<br> in degrees is:
barxatty [35]

One possible answer is 120°

6 0
2 years ago
Simplify this algebraic expression completely. <br> 6x – 4(x + 3)
Arturiano [62]
6x - 4(x + 3)
6x -4x -12. Distribute
2x - 12. Combine like terms
5 0
3 years ago
Read 2 more answers
A + (−5) = −12<br><br> What is a
kherson [118]
A + -5 = -12

A - 5 = -12

A = -7.

This is the solution.
7 0
3 years ago
Read 2 more answers
ms. ling's cooking class made 3 gallons of blackberry jam and 14 cups of strawberry jam. how many cups of jam did the class make
PtichkaEL [24]
1 gallon=16 cups
3 times 16=48

plus 14 mroe
48+14=62 cups total
4 0
3 years ago
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