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4 years ago

5. Jane has 2 dimes, 6 nickels, and

Mathematics

2 answers:

Volgvan4 years ago

4 0

Answer:

The answer is $0.60

tresset_1 [31]4 years ago

4 0

3/5. Two dimes equals $0.20, 6 nickels equals $0.30, and 10 pennies equals $0.10. When you add those, you get 60 cents. We want the fraction, so our answer would be 60/100. However, you could simplify it if you want and get 3/5. hope this helps :)

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PLZ HELP THIS IS TIMED!!!!

mihalych1998 [28]

Answer:

For the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

Step-by-step explanation:

Given sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

To find the formula to describe the given sequence :

Let $a_1=\frac{-2}{3}$ , $a_2=-4$ , $a_3=-24$ ,...

First find the common ratio

$r=\frac{a_2}{a_1}$ here $a_1=\frac{-2}{3}$ and, $a_2=-4$

$=\frac{-4}{\frac{-2}{3}}$

$=\frac{4\times 3}{2}$

$=\frac{12}{2}$

$r=6$

$r=\frac{a_3}{a_2}$ here $a_2=-4$ and $a_3=-24$

$=\frac{-24}{-4}$

$=6$

$r=6$

Therefore the common ratio is 6

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is

$a_n=a_1r^{n-1}$

The formula which describes the given geometric sequence is

$f(x)=a_1r^{x-1}$ for x=1,2,3,...

$=\frac{-2}{3}6^{x-1}$ for x=1,2,3,...

Now verify that $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence or not

put x=1 and the value of $a_1$ in $f(x)=a_1r^{x-1}$ for x=1,2,3,...

we get $f(1)=-\frac{2}{3}(6)^{1-1}$

$=-\frac{2}{3}(6)^0$

$=-\frac{2}{3}$

Therefore $f(1)=-\frac{2}{3}$

put x=2 we get $f(2)=-\frac{2}{3}(6)^{2-1}$

$=-\frac{2}{3}(6)^1$

$=-\frac{12}{3}$

Therefore $f(2)=-4$

put x=3 we get $f(3)=-\frac{2}{3}(6)^{3-1}$

$=-\frac{2}{3}(6)^2$

$=-\frac{2(36)}{3}$

Therefore $f(3)=-24$

Therefore the sequence is f(1),f(2),f(3),...

Therefore the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence is verified

Therefore the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

7 0

4 years ago

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What are numbers called that are the same distance from 0 but in opposite directions

aliya0001 [1]

Opposites are the same difference from zero!

3 0

3 years ago

yolanda's bank is 1/2 full. After she adds 200 pennies, it is 5/6 full. How many pennies can Yoland's bank hold?

dimaraw [331]

1,000 pennies.
If it was 7/10 full then after she removed 200 pennies it was 5/10 full. (5/10 = 1/2) 
Therefore 2/10 is equal to 200 pennies. (7/10 - 5/10 = 2/10) 
If 2/10 is 200 then 10/10 is 1000 pennies.

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3 years ago

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HELP PLEASE ASAP

Ksju [112]

Step-by-step explanation:

the correct ones :

7³/7² =7

2^10/2 = 2^9

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3 years ago

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