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4 years ago

Write a recursive formula for the sequence 9, 6, 3, 0, … Then find the next term.

Mathematics

1 answer:

Dmitry [639]4 years ago

4 0

Answer:

f[1] = 9; f[n] = f[n-1] -3
-3

Step-by-step explanation:

The first term is 9, so f[1] = 9.

Each term is 3 less than the one before, so f[n] = f[n-1] -3.

Three less than the last term shown is ...

0 -3 = -3

The recursive formula is ...

f[1] = 9
f[n] = f[n-1] -3

The next term is -3.

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Slove the equation 5m²=10m<br>

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Answer:

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3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST

tiny-mole [99]

The expressions for each of the given statements are

a. 6 + z

b. 20 - x

c. x/6 - 8

d. x + 5/4

<h3>Writing an expression </h3>

From the question, we are to write an expression for each of the given statement

a. the sum of 6 and z

That is,

6 + z

b. the difference between 20 and x

That is,

20 - x

c. 8 less than the quotient of x divided by 6

That is,

x/6 - 8

d. x increased by 5 divided by 4

That is,

x + 5/4

Hence, the expressions for each of the given statements are

a. 6 + z

b. 20 - x

c. x/6 - 8

d. x + 5/4

Learn more on Writing an expression here: brainly.com/question/17651563

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1 year ago

Suppose compact fluorescent light bulbs last, on average, 11,500 hours. The distribution is normal and the standard deviation is

juin [17]

Answer:

2.275%

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

from the question, x = 12,300 hours , mean = 11,500 hours while Standard deviation(SD) = 400 hours

Plugging the values we have;

z-score = (12,300-11,500)/400 = 800/400 = 2

Now, we want to calculate P(z ≤ 2)

This is so because we are calculating within a particular value

To calculate this, we use the z-score table.

Mathematically;

P(z ≤ 2) = 1 - P(z > 2) = 1 - 0.97725 = 0.02275

To percentage = 2.275%

6 0

3 years ago

A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following

antiseptic1488 [7]

Step-by-step explanation:

The complete frequency distribution table for the data has been attached to this response.

The frequency column contains values that are the number of times the given range of hours appear in the data. For example, numbers in the range 0 - 2 hours, appear <em>9</em> times in the data. Also, the numbers in the range 3 - 5 appear <em>6</em> times. The same logic applies to other ranges.

The relative frequency column contains the ratio of the number of times the given range of hours appear in the data, to the total number of outcomes. The total number of outcomes is the sum of all the frequencies on the frequency column. This gives 38 as shown.

So, for example, to get the relative for the numbers in the range 0-2, divide their frequency (9) by the total outcome or frequency (38). i.e

9 / 38 = 0.24

Also, to get the relative for the numbers in the range 3-5, divide their frequency (6) by the total outcome or frequency (38). i.e

6 / 38 = 0.16

Do the same for the other ranges.

5 0

3 years ago

50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.

Nady [450]

Answer:

(1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

m = (3 - 5)/(4 - (-1)) = -2/5

<u>Perpendicular slope:</u>

-1/m = 5/2

<u>Perpendicular line passes through S(-1, -2):</u>

y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2

m = (-2 - 3)/(-1 -4) = -5/-5 = 1

<u>Perpendicular slope:</u>

-1/m = -1/1 = -1

<u>Perpendicular line passes through Q(-1, 5):</u>

y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

<u>Solve the system of equations to get the coordinates of the orthocenter:</u>

5/2x + 1/2 = x + 4
5x + 1 = -2x + 8
7x = 7
x = 1

<u>Find y-coordinate:</u>

y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

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3 years ago