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Arturiano [62]
3 years ago
5

Use the definition of logarithm to simplify each expression

Mathematics
1 answer:
iragen [17]3 years ago
4 0
\log_{10}10=1\\
\log_{10}10000=5\\
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Gabriel interviewed his 30 classmates on whether or not they own a bike and live near a pool. He displayed his results in the tw
snow_tiger [21]

Answer:

The true statement is:

<u>A) Over half of the bike owners live near a pool. </u>

Step-by-step explanation:

See the attached table

According to the data of the table, we will check which statement is true.

A) Over half of the bike owners live near a pool.

The number of the bike owners = 8 + 7 = 15

The bike owners live near a pool = 8

The percentage of the bike owners live near a pool to all the bike owners= 8/15 = 0.533 > 0.5

<u>The statement is true.</u>

B) Less than 55% of his classmates live near a pool.

The number of classmates = 30

The number of classmates live near a pool = 8 + 10 = 18

The number of classmates live near a pool to all

classmates = 18/30 = 0.6 = 60% > 55%

<u>The statement is wrong.</u>

<u></u>

C) About 50% of his classmates don't live near a pool.

Don't live near a pool = live near a pool

So, the same explanation of statement B

<u>The statement is wrong.</u>

<u></u>

D) 2/3 of his classmates that live near a pool don't own a bike.

The number of classmates live near a pool = 8 + 10 = 18

The number of classmates live near a pool and don't own a bike = 10

The percentage of classmates live near a pool and don't own a bike to classmates live near a pool = 10/18 = 0.556 < 2/3

<u>The statement is wrong.</u>

5 0
4 years ago
Read 2 more answers
Write a real world situation for the following equations:
Jet001 [13]
2. Snap gym costs $120 for registration fee and $25 each month. Awesome gym costs $45 each month with no registration fee. After how many months will the cost of the two gyms be equal ? 3. Awesome video game has a total of 100 points. If you are out, you miss 6 points. Cool video game has a total of 160 points. If you are out, you miss 10 points. After how many times of getting out will you have the same number of points on both the games ?
3 0
3 years ago
Find the value of x.
AURORKA [14]

Answer:

x=129 °

Step-by-step explanation:

A secant is a line that intersects a circle in two places. The secants interior angle theorem states that when two secants intersect a circle inside a circle, the measure of any one of the angles formed is equal to half of the sum of the two intersecting arcs. Therefore, one can apply this theorem here:

x=\frac{204+54}{2}

Simplify,

x=\frac{204+54}{2}

x=\frac{258}{2}

x=129

7 0
3 years ago
What is the distance between the points (3,12) and (14,2)
Licemer1 [7]

Answer:

square root of 221

Step-by-step explanation:

d= sqrt (14-3)^2 + (2-12)^2

sqrt 121+100= sqaure root of 221

6 0
4 years ago
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What is the y-intercept of the line graphed below?
Sergeu [11.5K]

Answer:

I think it's -3 if I'm right

8 0
3 years ago
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