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Usimov [2.4K]
3 years ago
7

Which choice is the explicit formula for the following geometric sequence?0.5, -0.1, 0.02, -0.004, 0.0008, ...

Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0
a_1=0.5\\a_2=-0.1\\a_3=0.02\\a_4=-0.004\\a_5=0.0008\\\\a_n=a_1\cdot q^{n-1}\\\\q=a_2:a_1\to q=-0.1:0.5=-0.2\\\\a_n=0.5\cdot(-0.2)^{n-1}=0.5\cdot(-0,2)^n\cdot(-0.2)^{-1}\\\\=0.5\cdot(-0.2)^n\cdot(-5)=-2.5\cdot(-0.2)^n\\\\\boxed{a_n=-2.5\cdot(-0.2)^n}
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Otis paints the interior of a home for $45 per hour plus $75 for supplies. Shireen paints the interior of a home for $55 per hou
riadik2000 [5.3K]

Step-by-step explanation:

you should only make one equation:

75 + 45x = 30 + 55x

subtract the 30 frim both sides, then subtract 45x from both sides. you are left with:

45 = 10x

Divide by 10 and get:

4.5 = x

After 4.5 hours, the cost is equal for either worker.

8 0
3 years ago
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Sam has a rectangular field whose length and breadth are in the ratio 8:7. He wants to fence the field with bamboo to make it an
USPshnik [31]

Answer:

Length = 200 m

Breadth = 175 m

Step-by-step explanation:

Perimeter of the rectangular field = Total cost ÷ rate per metre

                                                        = 12000 ÷ 16

                                                        = 750 m

Length : breadth = 8 : 7

Length = 8x

Breadth = 7x

Perimeter = 750

2*(length + breadth) = 750

2*(8x + 7x) = 750

2* 15x = 750

  30x = 750

      x = 750/30

x = 25

Length = 8x = 8*25 = 200 m

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8 0
2 years ago
Joseph owns a hot dog stand and sells specialized hot dogs. He charges $1.50 for a plain hot dog and then an additional $0.50 fo
Lilit [14]

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Let

C--------> total cost of the hot dog

x-------> is the number of toppings

we know that

C=0.5x+1.5

where

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The y-coordinate of the y-intercept of the linear function is equal to \$1.5

That means -------> This is the cost of the hot dog without topping  

Hamburgers Stand

Let

C--------> total cost of the hamburger

x-------> is the number of toppings

we know that

C=0.25x+2.50

where

The slope of the linear equation is equal to 0.25\frac{\$}{topping}

The y-coordinate of the y-intercept of the linear function is equal to \$2.5

That means -------> This is the cost of the hamburger without topping

therefore

<u>the answer is</u>

The linear equation of the hamburger cost is equal to

C=0.25x+2.50


4 0
3 years ago
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Please help with #6. How do I find all of the real zeros? Thank you!!!
Morgarella [4.7K]

I'm assuming you're referring to problem 6. You are asked to find the number of x intercepts or roots, which is another term for "zero". I prefer the term root or x intercept as "zero" seems misleading. Anyways, all we do is count the number of times the graph crosses the x axis. This happens 4 times as shown in the attached image below. I have marked these points in red. The graph can directly cross over the x axis, or it can touch the x axis and then bounce back. Either way, it is considered an x intercept.

<h3>Answer: there are 4 x intercepts (or 4 roots)</h3>

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melamori03 [73]

<u>Answer: </u>

When you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

<u>Solution: </u>

Information provided in the question seems to be less . so assuming following two things.

1)Given function p = n + 5 do not include shipping cost as shipping cost is also dependent on number of tees.

2)If shipping charges for 3 tees is 5 , then shipping charges of 1 tee is \frac{5}{3}

When you buy 2 tees , n = 2

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So total price you pay for two tees = 8 + 5 = 13 unit price.

When you buy four tees, n = 4  

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Shipping charges =( \frac{5}{3} ) x 4 = \frac{20}{3}

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Hence when you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

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