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leonid [27]
3 years ago
9

Which expression is equivalent to 5−4/4−3 ? −64 −1/64 1/64 64

Mathematics
2 answers:
Mariulka [41]3 years ago
7 0

Solution:

The expression is

\frac{5-4}{4^{-3}}=1 \times 4^3= 4 \times 4 \times 4=64→→→Used law of indices here ,\frac{1}{a^{-m}}=a^m and\\\\ a^m = a \times a \times a (\text{m times})

Option D: 64 is right choice.

Anton [14]3 years ago
5 0
Its 64 hope you get a good grade
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About 543 out of every 1,000 people in United States owned a cell phone in 2003.In japan,the are was 68 for every 100 people.How
Softa [21]

Answer:

The greater percent of cell phone ownership in Japan than the U.S was <u>13.7%</u>.

Step-by-step explanation:

Given:

About 543 out of every 1,000 people in United States owned a cell phone in 2003.

In japan,the are was 68 for every 100 people.

Now, to find the greater percent of cell phone ownership in Japan than the U.S.

So, to get the percent of people owned cell phone in United States:

\frac{543}{1000}\times 100

=0.543\times 100

=54.3\%.

Now, to get the percent of people owned cell phone in Japan:

\frac{68}{100} \times 100\\\\=0.68\times 100\\\\=68\%.

So, to get the percent greater of cell phone ownership in Japan than the U.S we subtract the percent of people owned cell phone in United States from the percent of people owned cell phone in Japan:

68\%-54.3\%\\\\=13.7\%.

Therefore, the greater percent of cell phone ownership in Japan than the U.S was 13.7%.

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3 years ago
This figure represents a step in a compass-and-straightedge construction. Identify the construction.
aleksley [76]

a congruent line segment

4 0
3 years ago
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Which number is halfway between 318970 and 719070​
Juliette [100K]

Answer:

it is 519020

Step-by-step explanation:

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State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
valentinak56 [21]

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

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b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

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3 years ago
A boy visiting New York City views the Empire State building from a point on
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Answer:

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3 0
3 years ago
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