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lys-0071 [83]
3 years ago
9

Consider the geometric sequence: 3, 15, 75, 375, 1875 ... 1. What is the constant ratio, r, for this sequence? 2. Use r to write

the explicit formula for the sequence. 3. What type of function does the formula represent? What is its base?
Mathematics
2 answers:
zalisa [80]3 years ago
7 0
R= 5

a_{n} =3* 5^{n-1}


bezimeni [28]3 years ago
5 0

Answer:

1.  r=5

2.  a_{n} =3*5^{n-1}

3. It is an arithmetic function. The base is 3

Step-by-step explanation:

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3 Max travels to see his brother's family by car. He drives 216 miles in 4 hours.
OLga [1]

Answer:

54 miles per hour

Step-by-step explanation:

If you divide the number of miles (216) by the hours (4) you get 54.

4 0
4 years ago
Box plot i dont understand any thing about it
Inga [223]

Answer:

Just put the numbers in order then the interquartile range would be the largest number from the high quartile and the lowest number from the lower quartile.

5 0
4 years ago
Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
blagie [28]
A.
5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0

B.
3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\hbox{add 12 to both sides} \\
x=11
3 0
3 years ago
A walkway surrounds a rectangular garden. The width of the garden is 3 meters, and the length
rusak2 [61]

Answer:

You are given the width of the garden which is w= 8 feet

length of the garden which l= 6 feet

the width of the walkway is x

so for every side of the garden there is an x

so length overall would be 8+2x (length of garden + x one side + x other side)

and width overall would be 6 + 2x (width of garden + x of one side + x of other side)

area of rectangle is length*width

so the expression would be (8+2x)*(6+2x)

:))) smile....

I hope it is correct.

Step-by-step explanation:

5 0
3 years ago
Write the formula for the following sequence.<br>5.8, 3.6, 1.4,...<br>PLEASE SHOW YOUR WORK.​
sladkih [1.3K]

tn = t(n - 1)- 2.2

common difference is

3.6 - 5.8 = -2.2

let T1 = 5.8

T2 = 3.6

assuming we are to find T2

T2 = T(2-1) -2.2

= T1 -22

= 5.8 -2.2

= 3.6

3 0
3 years ago
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