100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?
-
Upload
bathsheba-chapman -
Category
Documents
-
view
225 -
download
1
Transcript of 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?
![Page 1: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/1.jpg)
![Page 2: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/2.jpg)
100 100 100 100
200 200 200 200
300 300 300 300
400 400 400 400
500 500 500 500
![Page 3: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/3.jpg)
Click here for answer
If 2^x = 8^3,
what exponent can x be?
![Page 4: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/4.jpg)
Click here for answer
If r = -2 and t = -5,
find the value of
r^4 + t?
![Page 5: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/5.jpg)
Click here for answer
How many prime numbers
are factors of 210?
![Page 6: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/6.jpg)
Click here for answer
A fraction is equivalent to 4/5.
The sum of the numerator and denominator of the fraction is 36.
What is the fraction?
![Page 7: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/7.jpg)
Click here for answer
Two nearby lights are flashing, one every 7 seconds and one every 5
seconds.
How many seconds long are the intervals between simultaneous
flashings?
![Page 8: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/8.jpg)
If D is the midpoint of segment AC and C is the midpoint of segment AB, what is the length of segment AB if the length
of segment BD is 12 cm?
Click here for answer
![Page 9: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/9.jpg)
Click here for answer
A garden hose lies coiled in a circular pile about 2 feet across.
If there are 6 coils,
estimate the length of the hose.
![Page 10: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/10.jpg)
Click here for answer
What is the sum of the interior angles of a polygon with 32 sides?
![Page 11: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/11.jpg)
Click here for answer
The angles of a triangle
are in a ratio of 1:2:6.
What kind of triangle results?
![Page 12: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/12.jpg)
Click here for answer
How many sides does a polygon have if the sum of the measures of the interior
angles is 2,520?
![Page 13: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/13.jpg)
What is the probability picking a King from a deck of cards?
Click here for answer
![Page 14: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/14.jpg)
You flip a coin.
The first eight flips come up heads.
What is the probability the ninth flip will be a tail?
Click here for answer
![Page 15: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/15.jpg)
A standard die is rolled.
What is the probability of rolling an even number?
Click here for answer
![Page 16: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/16.jpg)
A jar contains 3 red balls, 2 white balls, and 1 green ball.
What is the probability of picking a white ball?
Click here for answer
![Page 17: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/17.jpg)
Suppose a die is rolled twice.
What is the probability that an odd number will occur both times?
Click here for answer
![Page 18: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/18.jpg)
Click here for answer
A plumber charges $48 for each hour he works plus an additional service charge of $25.
At this rate, who much would the plumber charge for a job that took 4.5 hours?
![Page 19: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/19.jpg)
Click here for answer
The equation of a line is 8x – 4y = 17.
What is the slope of the line?
![Page 20: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/20.jpg)
Click here for answer
Write an open sentence to represent the statement:
5 less than twice a number is
3 more than the number
![Page 21: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/21.jpg)
Click here for answer
Solve for x:
¾ x + 14 = 38
![Page 22: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/22.jpg)
Suppose you start with $39.65 in the bank.
Each day you put in $1.35 more than you put in the previous day.
How much money will you have in the bank on the 12th day?
Click here for answer
![Page 23: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/23.jpg)
Click here to select a different question.
2^x = 8^3
2^x = (2^3)^3
x = 9
![Page 24: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/24.jpg)
Click here to select a different question.
(-2)^4 + (-5) =
16 – 5 =
11
![Page 25: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/25.jpg)
Click here to select a different question.
Prime factors of 210 are:
2, 3, 5, and 7,
therefore there are 4 prime factors
![Page 26: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/26.jpg)
Click here to select a different question.
Fractions equivalent to 4/5 are
8/10, 12/15, 16/20, …
and 16 + 20 = 36
![Page 27: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/27.jpg)
Click here to select a different question.
The least common multiple
of 5 and 7 is 35
![Page 28: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/28.jpg)
Click here to select a different question.
AB = 16 cm
D CA B
![Page 29: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/29.jpg)
Click here to select a different question.
Circumference = 2πr
The radius is half the diameter or ½ of 2 feet,
therefore, 2(3.14)(1) = 6.28
and since there are 6 coils
6(6.28) = 37.68 feet
![Page 30: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/30.jpg)
Click here to select a different question.
To find the sum of the angles of a polygon with n sides,
use (n-2)180,
Therefore (32 – 2)180 = 5400 degrees
![Page 31: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/31.jpg)
Click here to select a different question.
If the sides are in a ratio of 1:2:6,
then x + 2x + 6x = 180
9x = 180
x = 20,
Therefore the angles are
20, 2(20) = 40, and 6(20) = 120 which means the triangle is a scalene, obtuse triangle.
![Page 32: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/32.jpg)
Click here to select a different question.
If (n – 2)180 = 2520 then divide both sides of the equation by 180 to get
(n - 2) = 14 and add 2 to both sides to get 16 sides
![Page 33: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/33.jpg)
There are 4 Kings in a deck of 52 cards,
Therefore the probability is
4/52 or 1/13
Click here to select a different question.
![Page 34: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/34.jpg)
No matter how many times you flip a coin,
the probability of tossing a tail is ½.
Click here to select a different question.
![Page 35: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/35.jpg)
The probability for rolling an even number is
3/6 or 1/2
Since there is are 3 odd numbers between 1 and 6.
Click here to select a different question.
![Page 36: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/36.jpg)
Since there are 2 white marbles out of a total of 6 marbles,
Then the probability of pulling out a white marble is 2/6 or 1/3.
Click here to select a different question.
![Page 37: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/37.jpg)
The probability of rolling an odd number on the first roll is 3/6 or 1/2, and the same is
true for the second roll,
therefore 1/2 x 1/2 = 1/4
Click here to select a different question.
![Page 38: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/38.jpg)
Click here to select a different question.
The cost of 4.5 hours of labor at $48 per hour
4.5 x $48 = $216
plus the $25 = $241
![Page 39: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/39.jpg)
Click here to select a different question.
8x – 4y = 17
Subtract 8x from both sides and
-4y = -8x + 17
Then divide both sides of the equation by -4
y = 2x – 17/2
so the slope is 2
![Page 40: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/40.jpg)
Click here to select a different question.
5 less than 2 times a number is 3 more than the number
2x – 5 = x + 3
![Page 41: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/41.jpg)
Click here to select a different question.
To solve ¾ x + 14 = 38,
Subtract 14 from both sides
¾ x = 24
Then multiply both sides by 4/3
to get 32
![Page 42: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/42.jpg)
Click here to select a different question.
$39.65 + $1.35 + 2($1.35) +3($1.35) + …
+ 12($1.35) = $144.95
![Page 43: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/43.jpg)
![Page 44: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/44.jpg)
Final Jeopardy Question
ABCDEF is a regular hexagon.
Diagonals are drawn
from B to F, B to D, and F to D.
What is the measure of angle <FBD?
Click here to find the answer!
![Page 45: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/45.jpg)
Final Jeopardy Answer
The diagonals form an equilateral triangle BDF, therefore each angle including <FBD
measures 60 degrees.
60
![Page 46: 100 200 300 400 500 Click here for answer If 2^x = 8^3, what exponent can x be?](https://reader036.fdocuments.net/reader036/viewer/2022062720/56649ef35503460f94c059eb/html5/thumbnails/46.jpg)