n our very first module, we looked at numeration systems and the different bases that various cultures used. The Babylonian system was base 60; the Mayan system was base 20 (almost); and our Hindu-Arabic system is base 10. You read in the Grace Hopper biography that computers use a base 2 system. In base 2, only two symbols are used, so all numbers are represented with 0s and 1s. A. Change the number 100 (base ten) to a numeral in base two. B. Change the number 1010101 (base two) to a numeral in base ten. C. This is a fun problem! The moon is approximately 238,900miles from Earth. Admiral Hopper explained to David Letterman that a nano-second is one-billionth of a second. The maximum distance that electricity (or light) can travel in one nano-second is approximately one foot. How many seconds will it take to send an electronic signal from Earth to the Moon

2

step-by-2step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

answer

step-by-step explanation: