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nlexa [21]
3 years ago
11

Can you please tell me the answers to all of these

Mathematics
1 answer:
Svetllana [295]3 years ago
4 0

be smart be funny be kind smell good watch tv do homework

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What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125
kykrilka [37]
Since the sequence is geometric, there is some constant r such that the sequence is recursively given by

a_n=ra_{n-1}

By this definition, you can recursively substitute into the right hand side the definition for a_{n-1},a_{n-2},\ldots to find an explicit formula for the nth term.

a_n=ra_{n-1}=r^2a_{n-2}=r^3a_{n-3}=\cdots=r^{n-1}a_1=-625r^{n-1}

You know the second term, which means you can find r:

a_2=-625r^{2-1}\implies125=-625r\implies r=-\dfrac15

So, the 7th term of the sequence is

a_7=-625\left(-\dfrac15\right)^{7-1}=-\dfrac1{25}
8 0
3 years ago
Steve ordered Plastic cases for storing his baseball cards each case has a length of 12 cm a width of 6.5 cm and a height of 1.2
BigorU [14]
Volume for rectangular prism is l x w x h
12cm x 6.5cm x 1.25cm = 97.5cm^3

3 0
3 years ago
Use the distributive property of multiplication to find 6×21 <br><br> Hint: 21 = 1 + 20.
Monica [59]

Answer:

126

Step-by-step explanation:

First multiply 6 by 1. This equals 6. Then, multiply 6 by 20 to get 120. 6+120=126.

3 0
3 years ago
HURRY!!!!<br> What is the equation of the line shown in this graph?
zalisa [80]

Answer:

x = - 2

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

Where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, - 3) and (- 2, 2)

Both of these points have an x- coordinate of - 2, thus

x = - 2 ← equation of line

3 0
4 years ago
If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?
Zanzabum

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2},\stackrel{y}{-10})~~ \textit{we know } \begin{cases} x=2\\ y=-10 \end{cases}\implies -10=k2\implies \cfrac{-10}{2}=k\implies -5=k \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-5x~\hfill

8 0
3 years ago
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