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Alinara [238K]
3 years ago
11

Which exponent makes the statement true?

Mathematics
1 answer:
almond37 [142]3 years ago
8 0

Definition of negative exponent:

a^{-n} = \dfrac{1}{a^n}

Following the definition, we have:

\dfrac{1}{5^9} = 5^{-9}

Answer: -9

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Help! I'm a little stumped when it comes to variables in matrices. An explanation would be super rad!
iris [78.8K]

Answer:

30

Step-by-step explanation:

To find the determinant of a 3x3 matrix, you can use this method. (See picture.)

Start with the first number in the top row, and block off the row and column.  A 2x2 matrix will be left.  Find the determinant of this 2x2 matrix, and multiply it by the number in the top row.

Repeat for the other two numbers in the top row.  Add the first result, subtract the second, and add the third.

det A = -2 [(3)(-5) − (a)(0)] − 2 [(0)(-5) − (a)(0)] + b [(0)(0) − (3)(0)]

det A = -2 (3)(-5) − 0 + 0

det A = 30

8 0
3 years ago
In the figure, the measure of angle 6 is 141°. What is the measure of angle 5?
zalisa [80]
Angle 5 is 39 degrees
7 0
3 years ago
Read 2 more answers
An oxygen tank contained 212 12/3 liters of oxygen before 27 1/3 liters were used. If the tank can hold 240 3/8 liters, how much
lukranit [14]
So, initially   240\frac{3}{8} -212 \frac{12}{3} were empty:

this is :

240  \frac{3}{8} - 212  \frac{12}{3}  = 240  \frac{3}{8} - 212  +4 = 240  \frac{3}{8} - 216= 24  \frac{3}{8}

12/4 is 4 so that's why i substituted it with 4.

now, later 27 1/3 were used so we add this tho the original empty space

 24  \frac{3}{8}+ 27  \frac{1}{3} =  24  \frac{9}{24}+ 27  \frac{8}{24} = 51  \frac{17}{24}


which is the result!





5 0
3 years ago
Select the two binomials that are factors of this trinomial x^20 - x - 20
Mashcka [7]

Answer:

(x-5)(x+4)

Step-by-step explanation:

To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -20 and add to -1 for a and b.

20: 1, 2, 4, 5, 10, 20

-5+4 = -1

x^2-x-20 = (x-5)(x+4)

8 0
4 years ago
What is the greatest common factor c^2d^2​
Brums [2.3K]

Answer:

1

Step-by-step explanation:

Since there are no common prime factors, the only common factor for c²d² is 1, therfore it stays as is, c²d².

I am joyous to assist you anytime.

8 0
3 years ago
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