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maksim [4K]
3 years ago
14

Average = 55 seconds

Mathematics
1 answer:
mezya [45]3 years ago
7 0
(54.3+56.1+n)/3 = 55
54.3+56.1+n = 165
54.6 = n
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Guys I, need help with this please help it is due today
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4. .5 per ounce so 3.5 for 7 ounces
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6 0
2 years ago
The recursive rule for a sequence is shown.an=an−1+9a1=21 what is the explicit rule for this sequence?
bixtya [17]

Answer:

Meaning of Explicit rule , is the general rule for a sequence.

The given sequence is defined as,

a_{n}=a_{n-1}+9a_{1}-21----(1)

Common Difference(d) of an airthmetic Sequence= N th term - (N-1) th term

                                 =a_{n}-a_{n-1}\\\\=a_{n-1}-a_{n-2}                                            

Equation 1 can be written as,

a_{n}-a_{n-1}=9 a_{1}-21\\\\ d =9a_{1}-21

General rule or explicit rule for this sequence is given as:

a_{n}=a_{1} +(n-1)d\\\\a_{n}=a_{1}+(n-1)(9a_{1}-21)\\\\a_{n}=a_{1}+9na_{1}-21 n-9a_{1}+21\\\\a_{n}=-8a_{1}+21+n(9a_{1}-21)

6 0
3 years ago
The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represent
Rzqust [24]

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

8 0
1 year ago
Write the equation of the line whose slope is m=−9 and y-intercept is (0,5) in Slope Intercept Form. Show all work below.
alexgriva [62]
Y=mx+b is slope intercept form...
m=slope
b=y-intercept
Answer- y=-9+5
5 0
2 years ago
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The number -2 is a solution to which of the following inequalities?
lorasvet [3.4K]

Answer:

b

Step-by-step explanation:

3 0
2 years ago
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