Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T = 
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 =
0.8 = 
By taking log on both the sides
log(0.8) =log[]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x = 
x = 2.1179
x ≈ 2.1179 seconds
2m²n² + 6mn² + 16n²
2n²(m²) + 2n²(m) + 2n²(8)
2n²(m² + m + 8)
Answer:
The correct answer is A.
A) The IQR of Karla's data in 13.
Step-by-step explanation:
The interquartile range can be defined as the difference of upper quartile and lower quartile range. If we want to find the IQR from the box plot, we can simply see the length of the box from the box plot, as it represent the IQR.
We can clearly see that:
IQR of Steve's data is 45 - 31 = 14, hence the second statement is incorrect
IQR of Karla's data is 52 - 39 = 13, hence the first statement is CORRECT
The difference of medians is 43 - 36 = 7
Hence the difference of medians is not the half or twice of IQR ranges of both data sets
Answer:
b) true
c) false
d) true
e) true
Step-by-step explanation:
b) Any line that contains an interior point of a circle is a secant of the circle. The center is an interior point, so a line that contains the circle center is a secant.
__
c) Chords of different lengths intercept arcs of different measures
__
d) Any line perpendicular to a radius at the point where the radius meets the circle is a tangent to the circle. The endpoint of a diameter is the endpoint of a radius, so a line perpendicular there will be a tangent.
__
e) The measure of an inscribed angle is half the measure of the intercepted arc, so all inscribed angles that intercept equal arcs are equal.
for ln(x), the base is e, the natural base (aprox equal to 2.718281828454590...) or 
for log(x), if no base is stated, assume base 10 or 
