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Tanya [424]
3 years ago
9

PLEASE HELP ASAP!!

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

The first term of the sequence is -120.

Step-by-step explanation:

The formula for the "nth" term of a geometric sequence is shown below:

an = a0*r^(n-1)

Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:

a0*r^(n-1) = an

a0 = an/[r^(n-1)]

We then apply the data given to us

a0 = 31.45728/[-0.8^(7-1)]

a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120

The first term of the sequence is -120.

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A square patio has a perimeter of (32x+8) feet. What is the length of the patio?
kotykmax [81]
<h3>Hello There!!</h3>

<u>Given</u>

Perimeter = (32x + 8)

<u>To </u><u>Find</u>

Length of the Patio

<u>We Know,</u>

\text{Perimeter of Square = 4 × sides}

\text{ 32x + 8} = 4 \times  \text{sides} \\  \\   \fbox{dividing each side with 4} \\  \\  \implies  \text{( 32x} \div 4) + (8 \div 4) =  \frac{4 \times  \text{sides}} {4} \\  \\ \implies  \text{8x + 2} =  \frac{ \cancel4 \times  \text{sides}} { \cancel4}   \\  \\  \implies  \text{sides} = \text{8x + 2}

\therefore \text{ Length of the Patio} =  \text \red{ \underline{8x + 2 feet}}

<h3>Hope this helps!!</h3>
6 0
2 years ago
Joshua has $560. He wants to buy a laptop that costs $320 as well as a case for the laptop that costs $65 and is currently on sa
Igoryamba

Answer:$154.73

Step-by-step explanation:

Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73

6 0
3 years ago
An ice cream cone has a height of 14 cm and
sergejj [24]

Answer:

height of cone(h)=14cm

volume of cone(v)=528cm³

radius of cone =?

now,

by using formula

  • v=1/3πr²h
  • 528=1/3A×r²×14
  • r²=113.14
  • r=4.83cm

hope it helps.

6 0
2 years ago
a dish has 21,245,673 bacteria in it. The population of bacteria will decline by 80% every day. How many bacteria will be presen
Ivahew [28]

Answer:

33993.0768

Step-by-step explanation:

You can multiply the number of bacteria by (0.2^4). The 0.2 is for the 20% that  left after each day. The (^4) is for the 4 days that have passed.

6 0
3 years ago
I need help with this please :)
Marina CMI [18]

9514 1404 393

Answer:

  all are Not Equivalent

Step-by-step explanation:

The coefficient of t³ in the target expression is -3. In order for that to be the result of simplifying any of the given expressions, they must have ( )^(t^3) in the denominator. None do, so none of the offered choices is equivalent to the given expression.

_____

The expressions simplify like this:

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4 0
2 years ago
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