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harina [27]
3 years ago
6

Which of these is incorrect? A) 41,792 < 42,699 B) 42,699 > 43,595 Eliminate C) 42,699 < 44,792 D) 43,595 > 41,792

Mathematics
2 answers:
eimsori [14]3 years ago
4 0
B is the correct answer
RoseWind [281]3 years ago
4 0
B is the one that is incorrect
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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
A radio is being discounted 20% if the sale price of the radio is $51.44 what is the original price of the radio Radio is being
Grace [21]
Original price of the radio is $64.30

Sale price - $51.44
Discount rate - 20%

This means that $51.44 is the discounted price or is equivalent to 80% of the original price, since the 20% equivalent is deducted from the original price.

To get the original price, divide $51.44 by its corresponding percentage, 80%.

$51.44 / 80% = $64.30

To get the discount, multiply the original price by its discount rate

$64.30 x 20% = $12.86

To get the sales price, deduct the discount from the original price.

$64.30 - $12.86 = $51.44
100% - 20% = 80%

6 0
3 years ago
Solve the equation <br> 1/6(12z-18)=2z-3
Romashka-Z-Leto [24]
1/6(12z-18)=2z-3

12/6z-18/6 =2z-3

2z-3=2z-3

 there are infinite solutions for this equation or all real numbers
8 0
3 years ago
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