MATHEMATICS HIGH SCHOOL

The following function defines a recessive sequence:f(0) = -4
f(1) = 12

f(n) = -3•f(n -1) - 2•f(n - 2); for n > 1

Which of the following sequences is defined by this recursive function?
A) -4, 12, -28, 60, …
B) -4, -12, -28, -60, …
C) -4, 12, -18, 54, …
D) -4, 12, -18, -54, …

Answers

Answer 1
Answer: f(0)=-4\nf(1)=12\n\nf(n)=-3f(n-1)-2f(n-2)\n\nf(2)=-3f(2-1)-2f(2-2)=-3f(1)-2f(0)=-3\cdot12-2\cdot(-4)\n=-36+8=-28\n\nf(3)=-3f(3-1)-2f(3-2)=-3f(2)-2f(1)=-3\cdot(-28)-2\cdot12\n=84-24=60\n\nAnswer:A)\ -4;\ 12;-28;\ 60;...

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A company makes a product and has no way to determine which ones are faulty until an unhappy customer returns it. Three percent of the products are faulty and will cost the company $200 each in customer service and repairs. If the company does not refund the customer when repairing the item, how much should the company charge to make a profit of $2.00 per item? $6.00 $6.19 $8.00 $8.25

Answers

(x) - (0.03)(200) = 2.00 
Let x be the company charge to make the profit 

solving for x gives 8$

Answer: $8.00


Step-by-step explanation:

Given: Percent of products which are faulty=3%=0.03

Cost of each faulty product =$200

Let x be the company charge to make the profit .

According to the question,



x-0.03*200=2.00\n\Rightarrow\ x-6.00=2.00\n\Rightarrow\ x=2.00+6.00\n\Rightarrow\ x=$8.00


Hence, the company should charge $ 8.00 to make a profit of $2.00 per item.

The Line Of Symmetry Divides A Design So That Every Point On One Side Of The Line _____ A Point On The Other Side Of It. A. Coincides With B. Is Equal To C. Is Rotated To D. Becomes

Answers

The Line Of Symmetry Divides A Design So That Every Point On One Side Of The Line coincides with a point on the other side

The correct answer is A. Coincides with

Answer: The answer is A. Coincides with


Step-by-step explanation:

The magnitude, M, of an earthquake is defined to be M=log I/S, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.–1.5?
–0.5?
1.5?
3.6?

Answers

Given:
M = log I/S

M = magnitude
I = intensity of the earthquake
S = intensity of the standard earthquake

The minimum intensity of a standard earthquake is 10.
Intensity of the earthquake is 35 times the standard earthquake. So,
10 x 35 = 350

M = log 350/10
M = log 35
M = 1.544 or 1.5  Third option
the answer is 1.5 have a good day

You toss a coin and roll a number cube. Find P(tail and a six).

Answers

there are 6 heads and 6 tails as and outcome so
H-T, H-T, H-T, H-T, H-T, H,T

Heads - 1
Heads - 2
Heads - 3
Heads - 4
Heads - 5
Heads - 6
Tails - 1
Tails - 2
Tails - 3
Tails - 4
Tails - 5
Tails - 6
We have to find the probability of tail and 6 so there is only one tail and a  6
 P(tail and a six) = 1/12 = 0.08
hope it helps

There will be 12 possible outcomes. So, the probability of (tail and a sic) would be equal to = 1/12

1/12 is your answer..........

A sphere has a diameter of 12 ft. what is the volume of the sphere? give the exact value in terms of .

Answers

Formula of volume of a Sphere is : V = 4/3 πr³

Here, Diameter (2r) = 12, so radius (r) = 12/2 = 6 feet
Substitute it into the formula,
V = 4/3 π(6)³
V = 4/3 *216π
V = 288π Ft² [ Answer in the term of π ]

You can also solve it for numeral value by substituting the value of π = 22/7
V = 288 * 22/7 = 905.15 Ft² [ Answer in numbers ]

Hope this helps!

The volume of the sphere is 905.15 square feet.

Given

A sphere has a diameter of 12 feet.

What is the volume of the sphere?

The volume here depends on the diameter of the radius of the sphere since if we take the cross-section of the sphere, it is a sphere.

The surfacearea of the sphere is the area or region of its outer surface.

The volume of the sphere is calculated by the following formula;

\rm Volume \ of \ sphere = (4)/(3)\pi r^3

Where r is the radius of the sphere.

The radius of the sphere is given by;

\rm Radius = (Diameter)/(2)\n\nRadius = (12)/(2)\n\nRadius = 6 \ feet

Therefore,

The volume of the sphere is;

\rm Volume \ of \ sphere = (4)/(3)\pi r^3\n\n\rm Volume \ of \ sphere = (4)/(3) * 3.14 * (6)^3\n\n\rm Volume \ of \ sphere = (4)/(3) * 3.14 * 216\n\n\rm Volume \ of \ sphere = 905.15 \ feet^2

Hence, the volume of the sphere is 905.15 square feet.

To know more about the Volume of the sphere click the link given below.

brainly.com/question/381274

Brooke has set up 70 chairs in equal rows for the class talent show.But,there is not room for more than 20 rows. What are the possible number of rows that brooke could set up?

Answers

She can not fit more than twenty rows in the class so anything equal to twenty or less (not including zero or negative numbers) would be fine. We don't have a limit for how many chairs in a row so I'm answering assuming that is not a problem so 20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,2, or 1 row(s) would be possible
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