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riadik2000 [5.3K]
3 years ago
5

What is the explicit rule for the sequence?

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0
The sequence given is an arithmetic sequence;
the explicit formula for the sequence is:
an=a+(n-1)d
where
a=first term
n=index
d=common difference
from the sequence
a=34
d=26-34=-8
thus the explicit formula will be:
an=34-8(n-1)
an=34-8n+8
an=42-8n

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If a rectangular prism with a length of 12 feet and a width of 9 feet has a surface area of 930 square feet find its height
WINSTONCH [101]

Answer:

The height is 17 ft

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(LW +WH + LH)

where L = length, W = width, and H = height

We know SA = 930, L = 12, and W = 9

930 = 2(12*9 +9H + 12H)

Divide each side by 2

930/2 = 2/2(12*9 +9H + 12H)

465 = (12*9 +9H + 12H)

Combine like terms

465 = 84+21H

Subtract 84 from each side

465-84 = 84-84+21H

357 = 21H

Divide by 21

357/21=21H/21

17 = H

The height is 17 ft

4 0
4 years ago
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Question Progress
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Answer:

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Step-by-step explanation:

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3 years ago
Which of the following BEST defines an output? please help me, I've been stuck on this one for a while!​
NeTakaya

A statement which best defines an output is: B. an output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).

<h3>The types of function.</h3>

In Mathematics, there are different types of functions and these include the following;

  • Periodic function
  • Inverse function
  • Modulus function
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In this context, we can infer and logically deduce that a statement which best defines an output is that it's the result of a relation or the function rule, which usually are the y-values in a set of ordered pairs, on a table or a graph.

Read more on function here: brainly.com/question/9315909

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Complete Question:

Which of the following best defines an output?

A. An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

B. An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

C. An output is a special type of relation for which there is a rule that pairs each input with exactly one output.

D. An output is a set of ordered pairs in which no y-value repeats.

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1 year ago
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Step-by-step explanation:

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