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Sedbober [7]
3 years ago
8

What is the fifth term of the arithmetic sequence 7,3,-1....

Mathematics
1 answer:
Dmitrij [34]3 years ago
7 0
The formula is a1+d(n-1). 7+ -4(5-1). a5 = -9.
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Formula for the flow of current in an electrical<br> circuit, V= IH, for I
HACTEHA [7]

Answer:V/H=I

Step-by-step explanation:

v=IH

V/H=I

3 0
2 years ago
Syracuse and New York City are 240 miles apart. One car left Syracuse heading for New York City at an average of 65 mph. A secon
bazaltina [42]
Let x be the distance from Syracuse where they pass. The first car travels a distance of x in time x/65 while the second car travels a distance 240-x in time (240-x)/55. They pass at the same time after leaving their starting points so x/65=(240-x)/55.
Cross-multiplying we get: 55x=65(240-x)=15600-65x, 120x=15600, x=15600/120=130 miles.
They pass 130 miles from Syracuse.
6 0
3 years ago
How to determine if the columns of a matrix are linearly independent?
astra-53 [7]
Let's consider an arbitrary 2x2 matrix as an example,

\mathbf A=\begin{bmatrix}\mathbf x&\mathbf y\end{bmatrix}=\begin{bmatrix}x_1&y_1\\x_2&y_2\end{bmatrix}

The columns of \mathbf A are linearly independent if and only if the column vectors \mathbf x,\mathbf y are linearly independent.

This is the case if the only way we can make a linear combination of \mathbf x,\mathbf y reduce to the zero vector is to multiply the vectors by 0; that is,

c_1\mathbf x+c_2\mathbf y=\mathbf 0

only by letting c_1=c_2=0.

A more concrete example: suppose

\mathbf A=\begin{bmatrix}1&2\\4&8\end{bmatrix}

Here, \mathbf x=\begin{bmatrix}1\\4\end{bmatrix} and \amthbf y=\begin{bmatrix}2\\8\end{bmatrix}. Notice that we can get the zero vector by taking c_1=-2 and c_2=1:

-2\begin{bmatrix}1\\4\end{bmatrix}+\begin{bmatrix}2\\8\end{bmatrix}=\begin{bmatrix}-2+2\\-8+8\end{bmatrix}=\mathbf 0

so the columns of \mathbf A are not linearly independent, or linearly dependent.
8 0
3 years ago
glenn needs 20 minutes to clean his room. if his little sister veronika pulls things out while he is cleaning, it takes 60 minut
mihalych1998 [28]
The answer is 50 minutes
6 0
3 years ago
Read 2 more answers
How many sides has an equiangular polygon if one of its exterior angles is 25 5/7?
lys-0071 [83]
Step One
Figure out the interior angle
25 5/7 = 25.714285 repeating. The interior angle is the supplement of this angle.

180 - 25.714285 = 154.2857
The formula relating the number of sides and the interior equal angle is

interior equal angle = 180 ( 1 - 2/n) where n is the number of sides. (Google equiangular polygon to find this formula.)

154.2857 / 180 = 1 - 2/n) 
0.8571428 = 6/7 = 1 - 2/n
1/7 = 2/n
n = 14 sides
This figure is regular as well as equiangular.
6 0
3 years ago
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