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yanalaym [24]
4 years ago
15

Simplify the expression 1 point 3² x 4+5 29 54 41 81

Mathematics
1 answer:
Yuri [45]4 years ago
3 0

3*3*4+5=9*4+5=36+5=41

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aleksandr82 [10.1K]

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n=5, -5

5 0
2 years ago
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Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract
anyanavicka [17]

Answer:

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8

Step-by-step explanation:

The sum you are trying to understand is this.

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}

Remember that in general when you have a geometric series  

\sum\limits_{n = 0}^{\infty} a*r^n you have that

\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}      and that equality is true as long as     |r| < 1.

Therefore here we have

\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n        and   \big|\frac{-1}{15} \big| = \frac{1}{15} < 1

Therefore we can use the formula and

\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n =  \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16  = 15/8

5 0
3 years ago
Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?
vova2212 [387]
f(x)= -2 (x - 2) ( x - 4)

if x=2 ⇒ f(x)=y=0 ⇒ graph of f(x) intercept x axis in (2,0)
if x=4 ⇒ f(x)=y=0 ⇒ graph of f(x) intercept x axis in (4,0)
if x=0 ⇒f(x)= -2 *(-2)*(-4)= - 16 ⇒ graph of f(x) intercept y axis in (0,- 16)

⇒ f(x)= -2 (x - 2) ( x - 4) is the answer
3 0
3 years ago
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If you deposit Tsh 4000 into an account paying 9% annual interest compound monthly ,low long until there is Tsh 10000 in the acc
pav-90 [236]

Answer:

It will take 10.63 years.

Step-by-step explanation:

Giving the following information:

Present value (PV)= $4,000

Future Value (FV)= $10,000

Interest rate (i)= 9% annual compounded

<u>To calculate the time required to reach $10,000, we need to use the following formula:</u>

n= ln(FV/PV) / ln(1+i)  

n= number of years

n= ln(10,000 / 4,000) / ln(1.09)

n= 10.63

It will take 10.63 years.

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3 years ago
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ankoles [38]

Answer:

answer is a

Step-by-step explanation:

8 0
3 years ago
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