Answer:
There are no real solutions. The complex solutions are ...
(x, y) = (2.5-i√1.75, -2.5+i√1.75) or (2.5+i1.75, -2.5-i1.75)
Step-by-step explanation:
Subtract the first equation from the second.
y -y = (x^2 -6x +8) -(-x)
0 = x^2 -5x +8
Rewrite to facilitate completing the square:
x^2 -5x = -8
x^2 -5x +6.25 = -1.75 . . . . . add 6.25 to complete the square
(x -2.5)^2 = -1.75 . . . . . write as a square
x -2.5 = ±i√1.75 . . . . . . take the square root
x = 2.5 ± i√1.75 . . . . . . add 2.5; y is the opposite of this
Solutions are ...
- x = 2.5 +i√1.75, y = -2.5 -i√1.75
- x = 2.5 -i√1.75, y = -2.5 +i√1.75
_____
The graph shows the equations have no point of intersection, meaning there are no real solutions. The complex solutions are shown above.
Answer:
dV = - 5.73*10⁹ m³/s
Step-by-step explanation:
Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?
A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.
The volume of a square prism with base a and height h is given by
V = a²h
When the base and height are changing, we have
dV = 2ah(da/dt) + a²(dh/dt)
Given
a = 4 Km
h = 9 Km
da/dt = - 7 Km/min
dh/dt = 10 Km/min
we have
dV = 2(4 Km)(9 Km)(- 7 Km/min) + (4 Km)²(10 Km/min)
⇒ dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min
⇒ dV = - 5.73*10⁹ m³/s
Answer:
And 
The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group
.
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have 
groups and on each group from 
we have 
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by 
where k represent the number of groups.
The degrees of freedom for the denominator on this case is given by 
.
And the total degrees of freedom would be 
We can find the
And
The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group
.
And the we can find the F statistic 
<span>The total cost for Glenn Andrews is the value of the motorbike plus the sales tax. The sales tax is found multiplying the value times the percent sales tax rate, divided by 100. This is, tax sales = $3950 * 6% = $ 3950 * 6 /100 = 237. And the total cost was $ 3950 + $237 = $4187.</span>
Answer:
1) 8.073 (multiply 0.621 by 13km)
2)1,320,000,000(5280ft times 250,000)
3)37.850(10,000 divided by 264.2)
4)4hrs
5)157680000
(60 seconds in one minute and 60 min in one hr so 60 times 60 =3600 in one hr. then multiply 3600 by 24 for the entire day which is 86400sec. Then multiply that day by 365 which is 31536000 times 5 years which gets us our total of 157680000 seconds.
6) 758000 L
1 gal = 3.79 L so we have to multiply 3.79 times 200,000 which gets us 758000
Step-by-step explanation:
1) To get this answer we need to find out how many miles are in one kilometer. 0.621 mile is 1 km so we need to put 13 for km which will get 8.073 miles. SO the answer is 8.073
2) we need to find how many feet are in a mile. 1 mile= 5,280. so 5280 times 250,000 = 1320000000
3) 264.2 gal= 1 cubic meter so 10,000/264.2= 37.850
4) 1 hr= 60 min = 4hrs and 58 minutes roughly
5) 60 sec is 1 minute= so 60 times 60(the minutes in
