How many numbers between 100 and 200 can be expressed as powers of 2? show the steps you followed.
which power of 2 is closest to 1000? show your work

Let x = the number 2 must be raised to to make 100
Let y = the number 2 must be raised to to make 200













So the integer powers of 2 that would fall between 100 and 200 are between 6.64 and 7.64 - 7 is the only one.

Following a similar method for the second question:
Let z = the number 2 must be raised to to make 1000







So  is the closest power of 2 to 1000.

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )

step-by-step explanation:

only stephen hawking would know.