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NARA [144]
3 years ago
5

Can anyone please help me with this?

Mathematics
2 answers:
dolphi86 [110]3 years ago
6 0

Answer:

idk i can't realy see type it out.

Step-by-step explanation:

Vesna [10]3 years ago
5 0

75.645

kinetic energy is

1/mvsquare

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In an arithmetic sequence, a_17 = -40 and a_28 = -73. Please explain how to use this information to write a recursive formula fo
Vinvika [58]

An arithmetic sequence

a_1,a_2,a_3,\ldots,a_n,\ldots

is one in which consecutive terms of the sequence differ by a fixed number, call it <em>d</em>. This means that, given the first term a_1, we can build the sequence by simply adding <em>d</em> :

a_2=a_1+d

a_3=a_2+d

a_4=a_3+d

and so on, the general pattern governed by the recursive rule,

a_n=a_{n-1}+d

We can exploit this rule in order to write any term of the sequence in terms of the first one. For example,

a_3=a_2+d=(a_1+d)+d=a_1+2d

a_4=a_3+d=(a_1+2d)+d=a_1+3d

and so on up to

a_n=a_1+(n-1)d

In this case, we're not given the first term right away, but the 17th. But this isn't a problem; we can use the same exploit to get

a_{18}=a_{17}+d

a_{19}=a_{17}+2d

a_{20}=a_{17}+3d

and so on, up to the next term we know,

a_{28}=a_{17}+11d=-40+11d

(Notice how the subscript of <em>a</em> on the right and the coefficient of <em>d</em> add up to the subscript of <em>a</em> on the left.)

The 28th term is -73, so we can solve for <em>d</em> :

-73=-40+11d\implies -33=11d\implies d=-3

To get the first term of the sequence, we use the rule found above and either of the known values of the sequence. For instance,

a_{17}=a_1+16d\implies-40=a_1-16\cdot3\implies a_1=8

Then the recursive rule for this particular sequence is

\begin{cases}a_1=8\\a_n=a_{n-1}-3&\text{for }n>1\end{cases}

7 0
3 years ago
A rectangular prism with a length of 4 and one-fourth units, height of 2 units, and width of 1 unit.
Andreyy89

Answer: The answer is 8 units

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A runner finished a total of 1500 kilometers in races before retiring she finished thirty-two 15 kilometer races. The rest of he
Triss [41]

Answer:

102 of runner's races were 10-kilometer races.

8 0
2 years ago
Read 2 more answers
What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)?
LekaFEV [45]
Something funny is that the x value of the vertex lies directl in the middle of the x intercepts
so
we see the x intercepts or 0's at x=8 and 2
the average is x=5
so find f(5) to find the y value of the vertex
f(5)=(5-8)(5-2)
f(5)=(-3)(3)
f(5)=-9

vertex is at (5,-9)

the actual way the teacher wants is to expand then compltete the square to get into the form f(x)=a(x-h)^2+k where the vertex is (h,k)
but whatever


verrtex is at (5,-9)
7 0
3 years ago
Rico is estimating 139 x 18 Find his mistake and correct it.<br><br><br> 100 x 10 =1,000
mel-nik [20]
139 is suppose to be 140 and 18 is suppose to be 20, 140 x 20 = 2800
Home this works
4 0
3 years ago
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