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4 years ago

Choose the correct simplification of the expression f4 • f8.

Mathematics

2 answers:

hammer [34]4 years ago

8 0

Answer:

f^12

Step-by-step explanation:

In this equation, you need to add the two exponents so this would make f^12

hope this helps!

never [62]4 years ago

7 0

The correct answer is f^12

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Write an expression for the 12th partial sum of the series 3/2+7/3+19/6+... using summation notation

lapo4ka [179]

Answer:

$S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]$

$S_{12}=73$

Step-by-step explanation:

$First\ term\ of\ the\ series(a_1)=\frac{3}{2}\\\\Second\ term\ of\ the\ series(a_2)=\frac{7}{3}\\\\Third\ term\ of\ the\ series(a_3)=\frac{19}{6}\\\\a_2-a_1=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\\\\a_3-a_2=\frac{19}{6}-\frac{7}{3}=\frac{5}{6}\\\\Hence\ it\ is\ an\ Arithmetic\ Series\ with\ first\ term=\frac{3}{2}\ and\ constant\ difference=\frac{5}{6}$

$a_1=\frac{3}{2}+0\times \frac{5}{6}\\\\a_2=\frac{3}{2}+1\times \frac{5}{6}\\\\a_3=\frac{3}{2}+2\times \frac{5}{6}\\\\.\\.\\.\\a_n=\frac{3}{2}+(n-1)\times \frac{5}{6}\\\\S_n=a_1+a_2+a_3+......+a_n\\\\S_n=(\frac{3}{2}+0\times \frac{5}{6})+(\frac{3}{2}+1\times \frac{5}{6})+(\frac{3}{2}+2\times \frac{5}{6})+....+(\frac{3}{2}+[n-1]\times \frac{5}{6})\\\\S_n=\sum_{i=1}^n [\frac{3}{2}+(i-1)\times \frac{5}{6}]\\\\S_n=(\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+...n\ times)+\frac{5}{6}(1+2+3+4+...+(n-1))\\\\$

$S_n=\frac{3}{2}\times n+\frac{5}{6}\times \frac{n(n-1)}{2}\\\\$

$S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]$

$S_{12}=\frac{3}{2}\times 12+\frac{5}{6}\times \frac{(12)(12-1)}{2}\\\\S_{12}=18+55\\\\S_{12}=73$

5 0

4 years ago

I am so bad at this, help me...

kondor19780726 [428]

Answer: its 9 units ok yea

3 0

3 years ago

Solve for the value of x by applying the definitions of complementary and supplementary angles

Tatiana [17]

9514 1404 393

Answer:

x = 52

Step-by-step explanation:

The square corner symbol indicates the sum of the marked angles is 90°. (They are complementary.)

(x +3)° +35° = 90°

x° = 90° -38° = 52°

x = 52

4 0

3 years ago

PLZ ANSWER ASAP DUE IN A FEW MINS

Len [333]

Answer:

Solution given:

diameter=14cm

radius [r]=14/2=7cm

now

area of semi circle or shaded region: ½πr²=½(3.14*7²)=76.93cm²[approximately]

5 0

3 years ago

Write the algebraic expression for... 16 less than a number n

jarptica [38.1K]

Answer: n-16

Step-by-step explanation:

The algebraic expression for 16 less than a number n is thesame thing as subtracting 16 from n which will be represented as: n - 16.

Therefore, the algebraic expression for 16 less than a number n will be = n - 16

4 0

3 years ago