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3 years ago

Which expression is equivalent to the expression shown? Need help

Mathematics

1 answer:

densk [106]3 years ago

3 0

Answer:

$5^{15}$

Step-by-step explanation:

$(5^3)^{9}$ ÷ $5^{12}$

= $5^{3(9)}$ ÷ $5^{12}$

= $5^{27}$ ÷ $5^{12}$

= $5^{(27-12)}$

= $5^{15}$

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Which system of equations corresponds to this matrix multiplication operation

faltersainse [42]

Answer:

Option (B)

Step-by-step explanation:

$\begin{bmatrix}5 & 2 & 1\\ 7 & -5 & 2\\ -5 & 3 & 1\end{bmatrix}\times \begin{bmatrix}x\\ y\\ z\end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}$

By applying multiplication property of the matrices,

$\begin{bmatrix}(5x+2y+z)\\ (7x-5y+2z)\\(-5x+3y+z) \end{bmatrix}=\begin{bmatrix}16\\ 3\\ 12\end{bmatrix}$

Therefore, system of equations formed will be,

5x + 2y + z = 16

7x - 5y + 2z = 3

-5x + 3y + z = 12

Option (B) will be the correct option.

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2 years ago

Read 2 more answers

a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?

erastovalidia [21]

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

$\frac{4}{20} = \frac{x}{360}$

Cross multiply:

$1440 = 20x\\$

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

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2 years ago

What is the rate of increase in water pressure in atm/km

Masja [62]

Answer:

Rate of increase in water pressure is 992

Step-by-step explanation:

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2 years ago

Part 2: Create a scenario for a geometric sequence. For example, Anthony goes to the gym for ______ minutes on Monday. Every day

Ugo [173]

An example scenario is:

Anthony goes to the gym for 20 minutes on Monday. Every day he multiplies his gym time by 2.

On the fifth day, he will spend spend 320 minutes in the gym.

The formula used to determine the 5th term is,

a5 = 20 x 2^(r -1)

where r is the common ratio equal to 2.

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3 years ago

What percent of a dollar is a nickel and a penny? It is ______% of a dollar.

TiliK225 [7]

Answer:

6 %

Step-by-step explana

100 pennies makes a dollar... you just add 5 for the nickel and 1 fo the penny and it makes 6

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2 years ago