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2 years ago

Write an explicit formula for an , the nth term of the sequence 29, 19, 9, ....

Mathematics

1 answer:

Anna35 [415]2 years ago

6 0

Answer:

$a_{n}$ = 39 - 10n

Step-by-step explanation:

There is a common difference between consecutive terms , that is

19 - 29 = 9 - 19 = - 10

This indicates the sequence is arithmetic with nth term ( expicit formula )

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 29 and d = - 10 , then

$a_{n}$ = 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n

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Which of the following are solutions to the following equation?

Alecsey [184]

Answer:

x=-7

x=7

Step-by-step explanation:

we have

$2x^{2}-98=0$

Solve for x

Adds 98 both sides

$2x^{2}-98+98=0+98$

$2x^{2}=98$

Divide by 2 both sides

$2x^{2}/2=98/2$

$x^{2}=49$

take square root both sides

$x=\pm7$

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3 years ago

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Step-by-step explanation:

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2 years ago

Question

Alik [6]

Here, we are required to find the equation, in terms of w, that could be used to find the dimensions of the storage unit in feet.

The polynomial is;. 3w³ + 22w + 24w = 5440ft³.

From the question;

Let the width = w
length, l = 3w + 4
height, h = w + 6

The volume of a rectangular prism is given by the product of its length, width and height. Thus;

Volume = l × w × h

Therefore, Volume, V = (3w +4) × w × (w +6)

To obtain the required polynomial, we expand the expression for Volume above;

V = (3w² + 4w) × (w + 6)

V = (3w² + 4w) × (w + 6)V = 3w³ + 22w² + 24w.

However, the volume of the rectangular prism has been given to be 5440 cubic feet.

Therefore, the polynomial is;

3w³ + 22w + 24w = 5440ft³.

Read more:

brainly.com/question/9740998

8 0

1 year ago

Read 2 more answers

if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t

AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is $c^2=a^2+b^2-2ab cos(C)$ , where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

$m^2=21^2+12^2-2(21)(12) cos(62)$

Simplify:

$m^2=441+144-504 cos(62)$

$m^2=585-504 cos(62)$

$m=\sqrt{585-504cos(62)}$

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0

2 years ago

State the domain and range of the given relation

GuDViN [60]

Answer:

work is shown and pictured

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2 years ago