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White raven [17]
3 years ago
6

Write an equation for the nth term of the geometric sequence. Then find a sub 6

Mathematics
1 answer:
Ilya [14]3 years ago
4 0

Answer:

a_n = -192(\frac{-1}{4})^{n-1}

a_6= \frac{3}{16}

Step-by-step explanation:

Explicit Formula: a_n = a_1(r)^{n-1}

Step 1: Find <em>r</em>

-192/48 = -4

So we are dividing -4 or multiplying -1/4

Step 2: Write explicit formula

a_n = -192(\frac{-1}{4})^{n-1}

Step 3: Find a_6

a_6 = -192(\frac{-1}{4})^{6-1}

a_6= \frac{3}{16}

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Suppose that 16 inches of wire costs 80 cents. At the same rate, how much in cents will 11 inches of wire cost
irga5000 [103]

Find the cost of 1 inch by dividing 80 cents by 16 inches, then multiply that cost by 11:


0.80 / 16 = 0.05 per inch.


11 inches x 0.05 = 0.55


It will cost 55 cents.

5 0
3 years ago
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Find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2
fiasKO [112]

Hi!

3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}

5 0
2 years ago
On Friday, a fruit stand sold a total of 92 apples and oranges. On Saturday, the fruit stand sold four times the number of apple
andreev551 [17]

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Step-by-step explanation:

Let o be the number of oranges sold on Friday and

a be the number of apples sold on Friday

So,

A total of 92 was sold on Friday will yield the equation

a+o = 92

On Saturday,

4 times the number of apples = 4a

2 times the number of oranges = 2o

So,

4a+2o = 284

Hence,

The system of equations is:

a+o = 92\\4a+2o = 284

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/669100
  • brainly.com/question/663692

#LearnwithBrainly

5 0
3 years ago
Choose ALL the adjacent angles
natka813 [3]

Answer:

d, e, g, and h.

Step-by-step explanation:

Adjacent angles sit next to each other, and don't overlap.

7 0
2 years ago
A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

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⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

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⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
2 years ago
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