Answer:
56 coins for 0.50 cents
Step-by-step explanation:
The next term is 1.4 larger than the one before it, so the appropriate choice is

_____
However, the description

also correctly describes the relationship between a1 and a2, for example. While this equation is technically correct, it is less useful to work with, so is probably not the expected answer.
Answer:
3
Step-by-step explanation:
It is a well known trick that when you add together the digits of a number, if they are a multiple of 3 then the number is divisible by 3. Let's go through the options and check them:
7+5+7+0=19 not a multiple of 3
7+5+7+1=20 not a multiple of 3
7+5+7+2=21 multiple of 3
7+5+7+3=22 not a multiple of 3
7+5+7+4=23 not a multiple of 3
7+5+7+5=24 multiple of 3
7+5+7+6=25 not a multiple of 3
7+5+7+7=26 not a multiple of 3
7+5+7+8=27 multiple of 3
7+5+7+9=28 not a multiple of 3
As you can see, only 3 of these were possibilities that satisified the conditions. Hope this helps!
Answer:
x = 71°
Step-by-step explanation:
By applying triangle sum theorem in ΔBHD,
m∠DBH + m∠BHD + m∠HDB = 180°
40° + m∠BHD + 31° = 180°
m∠BHD = 180° - 71° = 109°
m∠BHD + m∠DHE = 180° [Linear pair of angles]
109° + x° = 180°
x = 180° - 109°
x = 71°
Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:

Where "b" is the base (
and
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 (
) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when
,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.