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2 years ago

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

Mathematics

1 answer:

nadezda [96]2 years ago

3 0

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

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With food prices becoming a great issue in the world; wheat yields are even more important. Some of the highest yielding dry lan

Rzqust [24]

Answer:

Option E) 61.6

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 bushels per acre

Standard Deviation, σ = 30 bushels per acre

We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X>x) = 0.90

We have to find the value of x such that the probability is 0.90

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 100}{30})=0.90$

$= 1 -P( z \leq \displaystyle\frac{x - 100}{30})=0.90$

$=P( z \leq \displaystyle\frac{x - 100}{30})=0.10$

Calculation the value from standard normal table, we have,

$P(z$

$\displaystyle\frac{x - 100}{30} = -1.282\\x = 61.55 \approx 61.6$

Hence, the yield of 61.6 bushels per acre or more would save the seed.

7 0

3 years ago

The right end of this board lines up with the marks halfway between 4 and 5 (Iready) How long is the board?

cupoosta [38]

Answer:

$Halfway = 4.5$

Step-by-step explanation:

Given

4 and 5

Required

Determine the halfway

This is calculated as:

$Halfway = \frac{1}{2}(4 + 5)$

$Halfway = \frac{1}{2}(9)$

Remove bracket

$Halfway = \frac{1}{2} * 9$

$Halfway = 4.5$

5 0

2 years ago

Sample Work Suppose you are constructing a LEGO Technic Land Rover Defender with a total of 2573 pieces. You have already put to

ahrayia [7]

Answer:

The relationship is linear.

Step-by-step explanation:

A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.

The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:

y=m*x + b

In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:

y=5*x + 253

The relationship is linear.

6 0

2 years ago

A dolphin jumps 54 times in a 6 hour

Kazeer [188]

Answer:

18 jumps would be expected in a 2 hour period.

Step-by-step explanation:

Given : A dolphin jumps 54 times in a 6 hour period.

To find : At this rate, how many jumps would be expected in a 2 hour period?

Solution :

Applying unitary method,

In 6 hour period Dolphin jumps 54 times.

In 1 hour period Dolphin jumps $\frac{54}{6}$ times.

In 1 hour period Dolphin jumps 9 times.

In 2 hour period Dolphin jumps $2\times 9$ times.

In 2 hour period Dolphin jumps 18 times.

Therefore, 18 jumps would be expected in a 2 hour period.

8 0

2 years ago

What is the answer to 24+n/4=10

MA_775_DIABLO [31]

Answer:

n = -56

Step-by-step explanation:

first subtract the 24 from both sides. you get -14.

then multiply 4 to -14.

you get -56

8 0

3 years ago

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