Answer:the original height of the candle is 14.8 inches
Step-by-step explanation:
A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
d = - 0.2 (it is decreasing)
n = 8
T8 = 13.4 inches
We want to determine the value of the first term, a. Therefore,
13.4 = a - 0.2(8 - 1)
13.4 = a - 1.4
a = 13.4 + 1.4 = 14.8 inches
Answer:
All points between z = 0 and z = 7 along the z-azis in R3 x-y-z plane
Step-by-step explanation:
The inequality 1
z
7 represents all sets of points on the z-axis in the R3 plane that lies bewteen z = 0 and z= 7.
It is represents a line segment joining two point z= 0 and z=7 along z- axis in the R3 plane, while x=0 and y=0 on the x-y plane.
Answer:
first blank: mean
second blank: greater than
third blank: increased
fourth blank: greater than
Step-by-step explanation:
I can't see the options in each blank, even though I completed them with reasonable options.
The MAD of a set of data is the average distance between each data value and the mean. 400 is further than the mean than the MAD. This, increases the variability of the originally data set. As a consequence, the inclusion of 400 will result in a greater MAD