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Ann [662]
3 years ago
10

Identify the explicit function for the sequence in the table.

Mathematics
2 answers:
gulaghasi [49]3 years ago
8 0

Answer:C

Step-by-step explanation: substitute n=3 for all equations and see which equation accurately correlates to the graph for when x=3. When you do this you see that only option C is the correct equation

crimeas [40]3 years ago
5 0

Answer:

C). a(n) = 7 + (n - 1) * 12

Step-by-step explanation:

Plugin values into the equation.

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How would i write a recursive formula for 15625, 6250, 2500, 1000
neonofarm [45]
This is a geometric sequence.

a = 15625,

Common ratio = 6250/15625 = 2500/6250 = 0.4

an for GP = ar^(n - 1)

= 15625*(0.4)^(n - 1)
8 0
3 years ago
Solve the following system by graphing.<br> Y =<br> 2 + 5<br> y = -x-1
Klio2033 [76]

Answer:

Step-by-step explanation:

2x + 5 = -x  - 1

3x + 5 = -1

3x = -6

x = -2

y = 2 - 1

y = 1

(-2, 1)

4 0
3 years ago
a dragonfly can beat its wings 30 times per seconed.write an equation in slope intercept from that shows the relationship betwee
Andreas93 [3]

Answer:

s=30f

Step-by-step explanation:

S = second; F = flying time.

Since it can flap its wings 30 times, each second, we have already found our answer. The relationship between flying time (Wing flaps) and seconds is 30. In other words, it beats it's wings 30 times each second. Which is what the question asks.

Now we just have to write the equation:

s=30f

This is because the seconds are <u>dependent</u> on the flap of wings, so s would be the y value.

Hope it Helps!

4 0
3 years ago
Khianna is trying to help her neighbor Mrs. Johnson design and estimate the cost of a new square patio to be made from 16 inch s
Gnoma [55]

Part I: Scale Drawing

<span>Decide on a scale factor to represent the distance covered by the patio. Then, use the space below to design Mrs. Johnson’s patio to be a square that is at least 8 feet on each side.</span>

 a) Scale Factor: 1 in/ 2 ft 

Use a straightedge and a ruler to draw to scale a design for Mrs. Johnson’s patio

b) see the picture attached

Mrs. Johnson’s patio to be a square that is 10 ft x 10 ft

<span><span>c) What are the dimensions of Mrs. Johnson’s patio? </span>
</span>the dimensions of Mrs. Johnson’s patio are 10 ft x 10 ft

<span><span>d) Calculate the area of Mrs. Johnson’s patio.  Show all work.  
</span> </span>
area of the square=b²
where b is the length side of the square
b=10 ft
so
Area=10²-----> area =100 ft²

<span><span>e) How many pavers will be needed?  Show all work. </span>
</span>
we know that
1 paver is 16 in x 16 in dimensions
convert to ft
1 ft----------->12 in
x ft-----------> 16 in
x=16/12-----> x=4/3 ft
so
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  100 ft²
x=100/(16/9)------> x=100*9/16-----> x=56.25 pavers

if one box --------------> 12 pavers
x box---------> 56.25 pavers
x=56.25/12-----> x=4.68 box-------> x=5 boxes
5 boxes of pavers will be needed 

<span><span>f) What will it cost to build the patio?  Show all work. 
 </span> </span>
the cost of one box is--------> $99.99
5 boxes-----------> x
x=5*$99.99------>x=$499.95

the cost to build the patio is $499.95

Part II: Bigger Design

<span>There is a saying that bigger is better, so why not double the dimensions of Mrs. Johnson’s patio to make the side measurement twice as big? Mrs. Johnson and I think that it would better meet her needs.  After seeing the original estimation, she thinks that she could afford to double the size. I explained that making the patio twice as big would mean twice the cost. Mrs. Johnson says, “Let’s do it!”</span>

 

<span>a) What would be the new dimensions of Mrs. Johnson’s patio?
</span>the new  dimensions of Mrs. Johnson’s patio are 20 ft x 20 ft

<span>b) Calculate the new area of Mrs. Johnson’s patio.  Show all work.
</span>area of the square=b²
where b is the length side of the square
b=20 ft
so 
Area=20²-----> area =400 ft²<span>  
</span>
<span><span>c) How many pavers will be needed for the new design?  Show all work.
</span> </span>
1 paver is (4/3) ft x (4/3) ft dimensions

area of one paver=(4/3)²----> 16/9 ft²

if one paver has an area of----------------> 16/9 ft²
x pavers----------------------->  400 ft²
x=400/(16/9)------> x=400*9/16-----> x=225 pavers

if one box --------------> 12 pavers
x box---------> 225 pavers
x=225/12-----> x=18.75 box-------> x=19 boxes
19 boxes of pavers will be needed 

<span>d) What will it cost to build the bigger patio?  Show all work. 
</span>the cost of one box is--------> $99.99
19 boxes-----------> x
x=19*$99.99------>x=$1899.81
the cost to build the bigger patio is $1899.81

<span><span>e) Is Khianna right?  Will doubling the size of the patio, double the cost?</span>
</span>
<span>Khianna is wrong to double the dimensions the cost quadruples</span>

5 0
3 years ago
Plz help me!!! Giving brainliest if someone else answers it. I put 2 questions
Katarina [22]

Answer:

1) C

2) A

Hope it Helps!

:)

6 0
3 years ago
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