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antoniya [11.8K]
2 years ago
11

Evaluate the equation of 3 x 10^-2

Mathematics
2 answers:
Vadim26 [7]2 years ago
7 0

Answer: \frac{3}{100} or 0.03

Step-by-step explanation:

3×10^{-2}

3 × \frac{1}{100}

⇒ \frac{3}{100}

⇒ 0.03

igor_vitrenko [27]2 years ago
6 0

Answer:

0.03

Step-by-step explanation:

the first thing you would do in this equation is to deal with the exponent

a negative exponent puts the number under 1

1/10^2

10^2 is also 100

1/100

3 * 1/100 is 3/100 so that is your answer

3/100 is also 0.03

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Solve the system of equations.
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Answer:

<u>Option b. (x = 3, y = 20, z = -14)</u>

Step-by-step explanation:

Given:

2x + 2y + 3z = 4

5x + 3y + 5z = 5

3x + 4y + 6z = 5

Solve using Cramer’s rule

∴ \left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]

∴A = \left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1

Ax = \left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3

Ay = \left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\

Az = \left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14

∴ x = Ax/A = -3/-1 = 3

   y = Ay/A = -20/-1 = 20

   z = Az/A = 14/-1 = -14

<u>So, the answer is option b. (x = 3, y = 20, z = -14)</u>

4 0
3 years ago
20 POINTS! TTM
g100num [7]

A relation is (also) a function if every input x is mapped to a unique output y.

In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:

  1. The first graph is exactly a vertical line, so it's not a function.
  2. The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
  3. The third graph is not a function, because you can draw vertical lines that cross the graph twice.
  4. Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
  5. The fifth graph is a function, because every vertical line crosses the graph once
  6. The last graph is a function, although discontinuous, for the same reason.
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3 years ago
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In a certain survey of 1,024 ​adults, 83​% reported having more than one television at home. Find the actual number of responden
irina [24]

Answer:

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Step-by-step explanation:

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3 years ago
Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of 7,500 ft2.
hram777 [196]

Answer: 1527

Step-by-step explanation:

Total Area = 7500 ft^2

Area covered by one student = Area of one circle

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r = radius of circle = 2.5/2 = 1.25 ft

Area covered by one student = π*1.25^2 = 4.91 ft^2

Number of students who can fit into total area = Total Area/Area covered by one student

Number of students who can fit into total area = 7500/4.91 = 1527.49

Hence the answer is 1527 students

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