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vampirchik [111]
3 years ago
9

Which choice is the explicit formula for the following geometric sequence? 0.2, -0.06, 0.018, -0.0054, 0.00162

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer:

aₙ = 0.2(-0.3)⁽ⁿ⁻¹⁾

Step-by-step explanation:

The geometric sequence with the first term a, a common ratio r has the nth term given as

Tₙ = arⁿ⁻¹

where Tₙ is the nth term

From the given sequence

a = 0.2

r = -0.06/0.2

= -0.3

Hence the nth term

= 0.2 * -0.3ⁿ⁻¹

The right option is E

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Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r
kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours)        Dinghy Rowboat        Labor Available

Metal Work 2             3                       120

Painting         2              2                        110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = 2x+3y

So, total hours for Painting = 2x+2y

So, equation becomes:

2x+3y\leq 120

2x+2y\leq 110

x\geq 0

y\geq 0

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0
3 years ago
Which equation represents the line shown in the graph?
Verizon [17]
Answer: C

The slope is y = -1/2x
4 0
3 years ago
Help me I need the answer ASAP ! Aundrea painted the background of a square mural on the wall using 138ft^2 of paint .which meas
Klio2033 [76]

Hey there! I'm happy to help!

Since this mural is a square, all the sides are the same. This means that you square on of the sides to get the area (multiply it by itself). If we have the area and want to find a side, we just go backwards and use something called the square root!

If we plug this into our calculators...

√138≈11.74734

We see that is closest to B. 12 ft.

You could also figure this out without a calculator. 138 is very close to 144, which is 12². All the other answer options are way too big.

Have a wonderful day! :D

8 0
3 years ago
Evaluate z+z+ z for x=2, y=-3, z= -4.<br><br>a. -6<br>b. -12<br>c. 12<br>d. -9<br>​
riadik2000 [5.3K]

Answer:

b.-12

Step-by-step explanation:

kamehameha This ans

6 0
3 years ago
Read 2 more answers
Write equations to solve these problems
dangina [55]

Answer:

Step-by-step explanation:

a) 60 = 50x

x = 60 / 50 = 1.20

1.20(100) = 120%

b 50 = 60x

x = 50/60 = 0.83333....

0.83333(100) = 83.333... % or 83⅓%

6 0
2 years ago
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