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Sindrei [870]
3 years ago
10

Find the 6th term in the sequence:100,60,36

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

Step-by-step explanation:100,60,36

hello :

the common ratio in the sequence:100,60,36  ( geometric sequence )

is : r = 60/36 = 36/100 = 0.6    the first term is : A1= 100

the n-ieme term is : An= A1× r ^(n-1)

An = 100× (0.6) ^(n-1)

the 6th term is : A6 = 100×(0.6)^5

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Let T: Mmxn(R)Mmxn(R) be the function defined
alexandr402 [8]

Answer:

True. See the explanation and proof below.

Step-by-step explanation:

For this case we need to remeber the definition of linear transformation.

Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:

1) T(x+y) = T(x) + T(y)

2) T(cv) = cT(v)

For all vectors x,y \in V and for all scalars c \in R. And A is called the domain and B the codomain of T.

Proof

For this case the tranformation proposed is t: M_{mxn} (R) > M_{nxm} (R)

Where T(A) = A^T

For this case we have the following assumption:

1) The transpose of an nxm matrix is an nxm matrix

And the following conditions:

2) T(A+B) = (A+B)^T = A^T + B^T = T(A) + T(B)

And we can express like this T(A+B) =T(A) + T(B)

3) If A \in M_{mxn}(R) and c \in R then we have this:

T(cA) = (cA)^T = cA^T = cT(A)

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.

5 0
3 years ago
C(1)=−20<br> c(n)=c(n−1)+10<br><br> Find the second term in the sequence. <br> ​
svet-max [94.6K]

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

5 0
3 years ago
What are the measures of angles M and N?
romanna [79]

Answer:

mM = 113 and mN = 61

Step-by-step explanation:

In a Cyclic quadrilateral, the rule states that:

The sum opposite interior angles is equal to 180°

In the above diagram, we have cyclic quadrilateral KLMN

According to the rule stated above:

Angle K is Opposite to Angle M

So, Angle K + Angle M = 180°

Angle K = 67°

67° + Angle M = 180°

Angle M = 180° - 67°

Angle M = 113°

Angle L is Opposite to Angle N

so Angle L + Angle N = 180°

Angle L is given as = 119°

119° + Angle N = 180°

Angle N = 180° - 119°

Angle N = 61°

Therefore, Angle M = 113° and Angle N = 61°

7 0
3 years ago
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Dimas [21]
What kind of subject do you tutor in ? c:
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3 years ago
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Brooke and Lamont ran a half marathon. Brooke finished in 1 hour 55
harkovskaia [24]

Answer:

D

Step-by-step explanation:

1:55 is lower that 125 minutes

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