To graph: The equation y = 30 , 000 − 400 t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1 . The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
To graph: The equation y = 30 , 000 − 400 t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1 . The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
Solution Summary: The graph of the equation y=30,000-400t is shown below.
To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
(b)
To determine
To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
(c)
To determine
To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
(d)
To determine
To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
(e)
To determine
To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.
Q3
4 Points
Let T: R4 → R³ be the linear transformation defined by the formula
11
x1+x3+2x4
T
x2 + 3 + 24
Is
−1 +222 +23
I
i. (2 points) Find the standard matrix of T.
ii (2 points) Determine if I is one-to-one and determine if I' is onto.
Please select file(s) Select file(s)
The three right triangles below are similar.
The acute angles LL, LR, and ZZ are all approximately measured to be 66.9°.
The side lengths for each triangle are as follows.
Note that the triangles are not drawn to scale.
Z
20.17 m
60.51 m
66.9° 7.92 m
66.9°
80.68 m
66.9°
23.76 m
31.68 m
Take one
18.55 m
K
P
55.65 m
X
74.2 m
Y
(a) For each triangle, find the ratio of the length of the side opposite 66.9° to the length of the
hypotenuse. Round your answers to the nearest hundredth.
JK
JL
PQ
PR
XY
☐
XZ
(b) Use the ALEKS Calculator to find sin 66.9°, cos 66.9°, and tan 66.9°.
Round your answers to the nearest hundredth.
sin 66.9° = ☐
cos 66.9°
tan 66.9° = ☐
(c) Which trigonometric function gives each ratio of sides in part (a)?
Osine
Ocosine
Otangent
none of these
According to an economist from a financial company, the average expenditures on "furniture and household appliances" have been lower for households in the Montreal area than those in the Quebec region.
A random sample of 14 households from the Montreal region and 16 households from the Quebec region was taken, providing the following data regarding expenditures in this economic sector.
It is assumed that the data from each population are distributed normally.
We are interested in knowing if the variances of the populations are equal. a) Perform the appropriate hypothesis test on two variances at a significance level of 1%. Include the following information:
i. Hypothesis / Identification of populations ii. Critical F-value(s) iii. Decision rule iv. F-ratio value v. Decision and conclusion
b) Based on the results obtained in a), is the hypothesis of equal variances for this socio-economic characteristic measured in these two populations upheld?
c) Based on the results obtained in a),…
Chapter 1 Solutions
Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)