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1 year ago

Select the function that represents a geometric sequence.

Mathematics

1 answer:

alina1380 [7]1 year ago

3 0

The function that represents a geometric sequence is given by:

C. $A(n) = P(1 + i)^{n-1}$ , where n is a positive integer.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

Following this pattern, a function that is also a geometric sequence is:

C. $A(n) = P(1 + i)^{n-1}$ , where n is a positive integer.

For the function, we have that:

$a_1 = P, q = 1 + i$ .

More can be learned about geometric sequences at brainly.com/question/11847927

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What is 4/5 times 7/12

slamgirl [31]

Answer:

$\frac{28}{60}$ ( $\frac{7}{15}$ )

Step-by-step explanation:

b/c 4/5*7/12

means 4*7 and 5*12

then28/60

hope it's helpful

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3 years ago

Which point lies on the line with point-slope equation y-3 = 4(x+7)?

Snowcat [4.5K]

Answer:

The answer would be (-7,3)

Step-by-step explanation:

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2 years ago

All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca

lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that $\mu = 82, \sigma = 4.5$

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{92 - 82}{4.5}$

$Z = 2.22$

$Z = 2.22$ has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0

3 years ago

What is: <br> 8x - 2(4 + 3x)

Angelina_Jolie [31]

$8x-2(4+3x) =0\\ 8x-8-6x=0 \\ 2x-8=0 \\ 2x=8 \\ x=4$

6 0

3 years ago

Read 2 more answers

In the diagram, the straight line ABC is parallel to EFG and DB is parallel to FC. Given that ABD=38 degrees and DFE=62 degrees.

Elanso [62]

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

<h3>The condition for two parallel lines.</h3>

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

<u>Note:</u> m is the slope.

<h3>What is the alternate interior angles theorem?</h3>

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

<ABD = <BDH = 38°

<DFE = <HDF = 62°

For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

∠BDF + <DFC = 180°

<DFC = 180 - ∠BDF

<DFC = 180 - 100

<DFC = 80°.

For angle CFG, we have:

∠DFE + <DFC + <CFG= 180°

<CFG = 180° - ∠DFE - <DFC

<CFG = 180° - 62° - 80°

<CFG = 38°.

Read more on parallel lines here: brainly.com/question/3851016

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4 0

2 years ago