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allsm [11]
3 years ago
12

3. Label the matrix according to the dimensions. *

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0
Add a picture please
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I need help with this points if right
fomenos

Answer:

A

Step-by-step explanation:

90-49=41

41-3=38

49+(38+3)=90

6 0
3 years ago
Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
Use the Remainder Theorem to determine f(2) when f(x) = -x3 + 6x - 7
saul85 [17]

Step-by-step explanation:

f(2)= -2×2×2+ 6×2 -7

=-8+12-7

=-3

7 0
3 years ago
A scientist makes a graph of temperature versus time. Temperature will be plotted on the ______ axis.
trapecia [35]
Temperature will be plotted on the y-axis
3 0
3 years ago
Read 2 more answers
Which of the following is NOT true about complementary angles? (A) Both angles are acute. (B) Neither angle can be a right angle
tester [92]

Answer:

(D) Their angle measures cannot be equal.

Step-by-step explanation:

(A) It's fine if both angles are acute.

(B) None of the angles can be a right angle.

(C) Their sum has to be 90°.

(D) Their angle measures can be equal.

3 0
3 years ago
Read 2 more answers
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