MATHEMATICS HIGH SCHOOL

1, ½, 0, ...; 16th term

Answers

Answer 1
Answer:

Answer:

a₁₆ = - (13)/(2)

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

(1)/(2) - 1 = - (1)/(2)

0 - (1)/(2) = - (1)/(2)

this indicates the sequence is arithmetic with nth term formula

a_(n) = a₁ + d(n - 1)

where a₁ is the first term , d the common difference , n the term number

here a₁ = 1 , d = - (1)/(2) , n = 16 , then

a₁₆ = 1 + (- (1)/(2) × 15 ) = 1 + (- (15)/(2) ) = (2)/(2) - (15)/(2) = - (13)/(2)

Related Questions

At a local pizza parlor, the large pies have a diameter of 16 inches. each large pie can be cut into either 8 slices or 12 slices based on customers preference. how much larger is the area of a slice of pizza from the 8 piece pie then the area of a slice of pizza from the 12 piece pie round your answer to the nearest tenth of a square inch (please explain how you got the answer)
In circle P, diameter QS measures 20 centimeters.What is the approximate length of arc QR? Round to the nearest tenth of a centimeter. explain.
230.071 in expanded form
Solve the Equation 70 = -7(-2 - 2z)z = 4z = -28z = -112z = 784
Explain your answerSimplify the difference.(4w2 - 7w - 6) - (8w2 + 2w - 3)Choose one answer.a. -4w2 - 9w - 3 b. 12w2 + 9w + 3 c. -4w2 - 5w - 9 d. 12w2 - 5w - 9

Car Stars Auto Rental charges $35 a day plus $0.25 per mile. Car Express Auto Rental charges $17 a day plus $0.40 per mile.What number of miles results in the same cost for one day?
A. 50 miles
B. 90 miles
C. 100 miles
D. 120 miles

Answers

x=number of miles
stars cost is 35+price for driving
price for driving=cost per mile times number oof miles
starts=35+0.25x

express is 17+0.4x

when will prices be equal?
set eaqual to each other

35+0.25x=17+0.4x
subtract 0.25x from both sides
35=17+0.15x
subtract 17 from both sides
18=0.15x
divide both sides by 0.15
120=x

answer is 120 miles

answer is D

Answer:

the answer is "D"

PROVE: ((1+cosx)/sinx)+(sinx/cosx)=((cosx+1)/(sinx+cosx)). Idk what to do because I'm pretty sure the way I did it was wrong...

Answers

I'll take the picture.
(1+cos\theta)/(sin\theta)+(sin\theta)/(cos\theta)=\frac{cos\theta+1}{sin\theta{cos\theta}}
Multiply by sin\theta{cos\theta} to get:
(1+cos\theta)sin\theta=cos\theta+1, which means that sin\theta=1, like wtf?
I guess you got to this result.
Btw, if it's an equation you get that \theta=k\pi, for k integer.

The graph below shows the distance, y, in miles, of a bee from its hive, for a certain amount of time, x, in minutes:Based on the graph, what is the initial value of the graph and what does it represent?0.4 mile per minute; it represents the speed of the bee
0.4 mile; it represents the original distance of the bee from its hive
4 miles; it represents the original distance of the bee from its hive
4 miles per minute; it represents the speed of the bee

Answers

Answer:

C. 4 miles; it represents the original distance of the bee from its hive

Step-by-step explanation:

We are given,

The graph showing the distance between a bee hive for a certain amount of time.

Now, from the graph, we see that,

When the time is 0 mins, then the distance from the bee hive is 4 miles.

Thus, the initial value of the graph is 4 miles and it represents the original distance of the bee hive from the hive.

So, option C is correct.
4 Miles; it represents the orginal distance of the bee form its hive
the line starting so high up means that that spot is the starting location of the bee

What is the sum of the angle measures in a 22-gon?360°
2,200°
3,600°
3,960°

Answers

Answer:

Option 3rd is correct

the sum of the interior angles measures in a 22-gon is, 3600°

Step-by-step explanation:

Sum of the interior angles of a polygon of n -sides is given by:

\tetx{Sum} = (n-2) * 180^(\circ)        ....[1]

As per the statement:

Given that:

n = 22-gon

Substitute in [1] we have;

\text{Sum} = (22-2) * 180^(\circ)

⇒\text{Sum} = 20 * 180^(\circ)

⇒\text{Sum} =3600^(\circ)

Therefore, the sum of the interior angles measures in a 22-gon is, 3600°

The sum of the angle measures in a 22-gon is 3600° (option c).

The sum of the angle measures in an n-gon (polygon with n sides) can be calculated using the formula:

Sum of interior angles = (n - 2) * 180°

For a 22-gon, n = 22, so the sum of the interior angles is:

Sum = (22 - 2) * 180°

Sum = 20 * 180°

Sum = 3600°

Therefore, the correct answer is option C: 3,600°.

To know more about angle:

brainly.com/question/31818999


#SPJ6

What is 8.2016 rounded to the nearest tenth

Answers

8.2 is the answer to your question
the answer is 8 the  answer is 8 the asnwer is 8

Let u = w² ≥ 0 . (a) Compute the exact risk premium if initial wealth is 4 and if a decision maker faces the lottery (-2, 1/2 ; +2, 1/2 ). Explain why the risk premium is negative.

Answers

Answer:

The risk premium is positive, indicating a preference for certainty over risk.

Step-by-step explanation:

The risk premium is a measure of how much someone is willing to pay to avoid a risky situation or to insure against potential losses. It is the difference between the expected value of a gamble (or lottery) and the guaranteed (certain) outcome.

In this case, you're dealing with a decision maker who has initial wealth of 4 and faces the following lottery:

   Option A: A loss of 2 with a probability of 1/2

   Option B: A gain of 2 with a probability of 1/2

Let's calculate the expected value of this lottery:

Expected Value (EV) = (Probability of Option A) * (Value of Option A) + (Probability of Option B) * (Value of Option B)

EV = (1/2) * (-2) + (1/2) * (2)

EV = -1 + 1

EV = 0

The expected value of this lottery is 0. This means that, on average, the decision maker doesn't expect to gain or lose wealth; it's a fair game in terms of expected value.

Now, to calculate the risk premium, we compare this lottery to a certain outcome. In this case, the certain outcome is keeping the initial wealth of 4.

Risk Premium = Guaranteed Outcome - Expected Value of Lottery

Risk Premium = 4 - 0

Risk Premium = 4

The risk premium is 4, which means that the decision maker is willing to pay up to 4 to avoid taking this lottery. This is because the lottery is a risky proposition, and the decision maker values the certainty of keeping their initial wealth at 4 over the gamble, even though, on average, the gamble doesn't result in a gain or loss. Therefore, the risk premium is positive, indicating a preference for certainty over risk.
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A company manufactures and sells novelty mugs. The manufacturing costs consists of a fixed cost of R8000 AND A VARIABLE COST OF R15.00 per mug. The mugs are sold at R35 each. Assume a linear profit function.1. Determine the profit function. 2. What is the break-even level. 3. Draw a graph depicting a profit function.
Need help fast what are all the solution to this problem
3m - 3(m+8) > 3m(Teacher didn't go over this hopefully I can get an explanation)