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3 years ago

11

Find the percent of each number

1 answer:

iragen [17]3 years ago

7 0

1321 x .03 = 36.93
631 x .45 = 283.95
100 x .01 = 10
350 x .25 = 62.5

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Which function can be used to represent the graphed geometric sequence? f(x) = 80(One-fourth) Superscript x minus 1 f(x) = 320(O

telo118 [61]

You can use the formula for getting the xth term of a geometric sequence for the graphed points.

The function that represents the graphed geometric sequence is given by

Option A: $f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

<h3>What is a geometric sequence and how to find its xth terms?</h3>

There are three parameters which differentiate between which geometric sequence we're taking about.

The first parameter is the initial value of the sequence.
The second parameter is the quantity by which we multiply previous term to get the next term.
The third parameter is the length of the sequence. It can be finite or infinite.

Suppose the initial term of a geometric sequence is $a$ and the term by which we multiply the previous term to get the next term is $r$

Then the sequence would look like

$a, ar, ar^2 , ar^3 ....$

(till the terms to which it is defined)

Thus, the xth term of such sequence would be

$f(x) = \text{xth term} = ar^{x-1}$

<h3>How to find the function representing the graphed geometric sequence?</h3>

The points plotted in the graph are

(1,80), (2, 20), (3, 5)

The x coordinate shows the position of the term and the y coordinate shows the value of that position's term in the sequence.

So we have the sequence as

$80, 20, 5 ...$

Thus, a = 80

and we have

$r = \dfrac{ar}{a} = \dfrac{20}{80} = \dfrac{1}{4}$

Thus, the multiplication factor for the given sequence is r = 1/4

Thus, by using the xth term formula, we have:

$f(x) = \text{xth term} = ar^{x-1} = 80 \times (\dfrac{1}{4})^{x-1}\\\\f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

Thus,

The function that represents the graphed geometric sequence is given by

Option A: $f(x) = 80 \times (\dfrac{1}{4})^{x-1}$

Learn more about geometric sequence here:

brainly.com/question/11266123

8 0

3 years ago

What is the slope of the line given by the equation y = -5x? Enter your answer as an integer or fraction in lowest terms. BTW ca

faust18 [17]

Answer:

slope = - 5

Step-by-step explanation:

given the equation of a line in the form

y = mx ← m is the slope

y = - 5x is in this form with slope m = - 5

7 0

3 years ago

Any athlete who fails the Enormous State University's women's soccer fitness test is automatically dropped from the team. Last y

castortr0y [4]

Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.

Conditional Probability

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.
$P(A \cap B)$ is the probability of both A and B happening.
P(A) is the probability of A happening.

In this problem:

Event A: Fail the test.
Event B: Unfit.

The probability of <u>failing the test</u> is composed by:

46% of 37%(are fit).
100% of 63%(not fit).

Hence:

$P(A) = 0.46(0.37) + 0.63 = 0.8002$

The probability of both failing the test and being unfit is:

$P(A \cap B) = 0.63$

Hence, the conditional probability is:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873$

0.7873 = 78.73% probability that Mona was justifiably dropped.

A similar problem is given at brainly.com/question/14398287

3 0

3 years ago

Solve these equations fast.

Alekssandra [29.7K]

<span>(6 + 3i)(6 − 3i) = 45
</span><span>(4 − 5i)(4 + 5i) = 41
</span><span>(−3 + 8i)(−3 − 8i) = 73</span>

4 0

4 years ago

Read 2 more answers

A) What is the mZRST?<br> S<br> 64°<br> T

Vladimir [108]

Answer:

S =64

T=64

here is your answer

5 0

3 years ago