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2 years ago

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64, –48, 36, –27, ... Which formula can be used to describe the sequence? f(x + 1) = 3/4 f(x) f(x + 1) = -3/4 f(x) f(x) = 3/4 f(

x + 1) f(x) = -3/4 f(x + 1)

1 answer:

marysya [2.9K]2 years ago

5 0

Answer:

the formulae given do not make sense.

Step-by-step explanation:

You might be interested in

If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?

marissa [1.9K]

Answer: 58 ft × 58 ft

Step-by-step explanation:

Let the length of the region = x feet

And, the width of the region = y feet

Since, the perimeter of the region = 234 feet ( Given )

⇒ $2(x+y) = 234$

⇒ $x+y = 117$

⇒ $y = 117 - x$

Again the area of the region, A = xy

⇒ $A(x) = x(117-x)$

⇒ $A(x) = 117x - x^2$

By differentiating the above equation with respect to x,

⇒ $A'(x) = 117 - 2x$

For maxima or minima,

$A'(x) = 0$

$\implies 117 - 2x = 0$

$\implies -2x = -117$

$\implies x = 58.5$

Again differentiating equation A'(x) with respect to x,

We get, A''(x) = -2

Hence, For x = 58.5 A''(x) = negative

⇒ For x = 58.5 feet the area A(x) is maximum,

⇒ The length of the region having maximum area = x = 58.5 feet

And, the width of the region having maximum area = y = 117-x= 117 - 58.5=58.5 feet,

⇒ The dimension of the region having the maximum area = 58.5 ft × 58.5 ft

8 0

2 years ago

Read 2 more answers

Sally makes balloon designs for various parties. She charges a $25 fee per party plus$10 per hour for her work. How much money d

Morgarella [4.7K]

Answer:

75

Step-by-step explanation:

10 times 5 = 50

50 + 25 = 75

10 per hour

25 per party

8 0

2 years ago

each of the variables a, b, c, d, e and f represents a different positive real number. given the equations below, which variable

slega [8]

Answer:

The greatest value is "e"

Step-by-step explanation:

We have the following equations:

a. 1.31 a = f

b. 1.12b=f

c. 1.01c=f

d. 0.98d=f

e. 0.31e =f

Then solving for "a", "b", "c", "d" and "e" we have:

a. a = f /1.31

b. b=f/1.12

c. c=f /1.01

d. d=f / 0.98

e. e=f / 0.31

Now, given that in all the equations "f" represents the same number, the gratest value it's going to be the option in which "f" is divided by the smaller number.

The option in which f is divided by the less number is option e because, in this case, f is divided by 0.31.

8 0

2 years ago

16. A train travels at an average speed of 85 miles per hour. If a trip

STALIN [3.7K]

Answer:

340 miles

Step-by-step explanation:

From definition of speed, it's distance traveled per unit time

Speed=Distance/time

Making distance the subject

Distance=Speed* time

Substituting speed of 85 miles per hour and time of 4 hours

Distance=85*4=340 miles

Therefore, if the train maintains the same speed, the distance between Sue's house and Kentucky is approximately 340 miles

5 0

2 years ago

Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length o

Mazyrski [523]

Answer:

13

Step-by-step explanation:

From the question, we are given a triangle HNK with an angle of 90°

The length of hypotenuse H K is n,

the length of HN is 12

the length of N K is 6.

From the above values, obtained in the question, we can see that this is a right angled triangle.

We are asked to find the length of the hypotenuse.

We can use Pythagoras Theorem of solve for this.

c² = a² + b²

where c = HK = n

a = NK = 6

b = HN = 12

c² = 6² + 12²

c² = 36 + 144

c² = 180

c = √180

c = 13.416407865

Approximately to the nearest whole number = 13

Therefore the value of HK = n = 13

We can also use Law of Cosines as given in the question to solve for this.

a² = b² + c² - 2ac × Cos A

where c = HK = n

a = NK = 6

b = HN = 12

Hence

c² = a² + b² - 2ab × Cos C

c = √ (a² + b² - 2ab × Cos C)

Where C = 90

c = √ 6² + 12² - 2 × 6 × 12 × Cos 90

c = 13.42

Approximately to the nearest whole number ≈ 13

Therefore the value of HK = n = 13

8 0

2 years ago