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inna [77]
3 years ago
7

What is the fifth term in the geometric sequence described by this explicit formula y=40×(-2)^(n-1)​

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

The fifth term is 620

Step-by-step explanation:

y=40×(-2)^(n-1)​

The 5th terms means n=5

y = 40 * (-2) ^ (5-1)

  = 40 * (-2) ^4

  = 40 * (16)

  = 640

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The sum of 237 and six times the opposite of a number is 405. What is the number?
Bond [772]

Answer:

(A) x=-28

Step-by-step explanation:

237 -6x = 405           [note that 6*(-x) is (-6x)]

  -6x = 168           [subtract 237 from both sides]

   x = -28             [divide both sides by (-6)]

6 0
2 years ago
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
Help please, i need a maths wizz!! :( (See pinned pics for questionS)
lana66690 [7]

Answer:

200 people attended screen 1

150 to screen 2 and 150 to screen 3

for question 2:it's 265.1

8 0
3 years ago
Angle A = 7x + 40 degrees
sashaice [31]
It equals 0.0192727261287227 mathamatics
8 0
3 years ago
What is the ratio of the number of days in the week that do not begin with the letter "T" to the number of days in the week that
ruslelena [56]

Answer:

  2 : 5

Step-by-step explanation:

2 days of the week begin with the letter T (Tuesday, Thursday).

5 days of the week do not begin with the letter T (Sunday, Monday, Wednesday, Friday, Saturday).

The ratio of those that do to those that do not is ...

  (begin with T) : (do not begin with T)

  2 : 5

6 0
3 years ago
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