Answers:
1) The dependent variable is the boiling point of water and the independent variable is the altitude.
2) The slope would represent the average decrease of the boiling point of water per every one thousand feet that the altitude increase.
Explanation:
1) given
Table:
<span>Altitude
(in thousands of feet) Boiling Point of Water (Fahrenheit)
(sea level) 0
212
0.5 211.1
1.0 210
2.0 208.4
2.5 207.5
3.0 206.6
4.0 204.8
4.5 203.9
2) The independent variable is the input of the function, and the dependent variable is the output of the function.
The input determines the output once the rule is established.
Therefore:
a) the independent variable is the altitude, and
b) the dependent variable is the boiling point of water in Farenheit.
3) The slope of the graph would be:
change in the dependent variable change in boiling point
slope = --------------------------------------------------- = ---------------------------------
</span> change in the independent variable change in altitude
Therefore, the slope represents the average change in the boiling boilin point of water every one thousand feet on change of altitude.
If the relationship is not linear, then the slope is not constant, and you will have different slopes for different parts.
If the slope is negative, means that as the altitude increase the boiling point of water decrease.
You can calculate the slope using any two pair of points (data)
212 - 210 2
slope =---------------- = ------- = - 2
0 - 1 - 1
or, using other pair of points:
204.8 - 210 -5.2
slope = --------------------- = --------- = -2.6
4.0 - 2.0 2.0
As you see, the slope is not constant. So, the function is not linear.
Seca(1-sina)(seca+tana)=1
Left hand side
=(1-sina) (seca +tana) / cosa
=seca +tana - sinaseca - sinatan / cosa
=seca + tana -tana -(sin^2a/cosa) / cosa
=(1/cosa - sin^2a/cosa) / cosa
= (1-sin^2a / cosa) / cosa
= (1-sin^2a)/ (cos^2a)
=1 (verified)
Answer - 8
explanation -
6/3 = 2, meaning each “fourth” is 2. the whole team, (4/4) would be 4x2, which is 8
940 million kilometers (584 million miles).
This question is incomplete
Complete Question
Mariah and Clarence are planning for a dinner party. The grocery store is selling a 25- pound turkey for $60 . Mariah states, "that means it costs $2.40 per pound of turkey." Clarence states, "that means $2.4 pounds of turkey cost $1 Is Mariah's statement, Clarence's statement, both statements, or neither statement correct?
Answer:
Mariah's statement is correct
Step-by-step explanation:
Mariah and Clarence are planning for a dinner party. The grocery store is selling a 25- pound turkey for $60 .
From the statements given above, we are to find the unit rate . This means the cost of the turkey per pound
Hence, the calculation is given below:
25 pounds of turkey = $60
1 pound of turkey = x
Cross Multiply
25 × x = $60 × 1
x = $60/25
x = $2.40
1 pound of turkey cost $2.40
Therefore, Mariah's statement is correct
