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labwork [276]
2 years ago
11

Avery and Collin were trying to challenge each other with equations for sequences. Avery was looking at an explicit equation tha

t Collin wrote.
t(n) = 4.5n − 8
Write the first 4 terms for the sequence.
What would Avery do to write the 15th term of this sequence?
Write a recursive equation for this sequence.
Mathematics
1 answer:
mel-nik [20]2 years ago
5 0

Answer:

ok

Step-by-step explanation:

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Consider this equation: –2x – 4 + 5x = 8 Generate a plan to solve for the variable. Describe the steps that will be used.
horrorfan [7]
We are given the function <span>–2x – 4 + 5x = 8  and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

-2x + 5x =8+4
Then, do the necessary operations.

3x = 12
x = 4.
The variable x has a value of 4.</span>
6 0
2 years ago
Read 2 more answers
Raj’s bathtub is clogged and is draining at a rate of 1. 5 gallons of water per minute. The table shows that the amount of water
Morgarella [4.7K]

Answer:

Draining rate is at 1.5 gallons per minute

That would be y = 1.5g / x.

From the function or the equation, here is the answer.

The range would be all real numbers such that 0 ≤ y ≤ 40.

Step-by-step explanation:

7 0
2 years ago
Milton is floating in an inner tube in a wave pool. He is 1.5 m from the bottom of the pool when he is at the trough of a wave.
posledela
This is the concept of sinusoidal, to solve the question we proceed as follows;
Using the formula;
g(t)=offset+A*sin[(2πt)/T+Delay]
From sinusoidal theory, the time from trough to crest is normally half the period of the wave form. Such that T=2.5
The pick magnitude is given by:
Trough-Crest=
2.1-1.5=0.6 m
amplitude=1/2(Trough-Crest)
=1/2*0.6
=0.3
The offset to the center of the circle is 0.3+1.5=1.8
Since the delay is at -π/2 the wave will start at the trough at [time,t=0]
substituting the above in our formula we get:
g(t)=1.8+(0.3)sin[(2*π*t)/2.5]-π/2]
g(t)=1.8+0.3sin[(0.8πt)/T-π/2]


3 0
2 years ago
A recipe requires one quarter cup of milk as a base and then, In addition, 1 cup of milk for every 4 cups of flour. Choose a lin
GrogVix [38]

Answer:

Step-by-step explanation:

Where are the choices?

m and f are the cups of milk and flour, respectively.

m = ¼f + 1

3 0
2 years ago
Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average
enot [183]
Then, 15 - x is the distance ran in the second part.
The time, t1, for the first part is t1 = xmi / 8mi/h
The time, t2, for the second part is t2 = (15 - x)mi / 20mi/h
The total time is t1 + t2 = 1.125 h
Then x/8 + (15 - x) / 20 = 1.125
To solve for x, multiply both sides by 40 (this is the least common multiple)
5x + 30 - 2x = 45
3x = 15

to find x divide: 15/3=5

And 15 - x = 10 mi.
First part:
Speed: 8mi/h
Distance: 5 mi
Time: 5mi/8mi/h = 5/8 h = 37.5 minutes
Second part
Speed: 20 mi/h
Distance: 10 mi
Average speed: 15mi/1.125h =13.33 mi/h
Distance: 15mi
Time: 1.125 h = 67.5 minutes 
7 0
2 years ago
Read 2 more answers
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