<h2>
Answer:</h2><h2>
The correct option is d. (i) and (ii)</h2>
Step-by-step explanation:
The total miles covered per day = 45
No of commuting days in a week = 5
Total miles in a week = 45 * 5 = 225
The total amount spent on gasoline = $ 38
Cost of gasoline per gallon = $ 2.48
The number of gallons consumed per week = 
= 15.32 gallons of gasoline per week.
This confirms (ii) statement
The amount spend on gasoline per mile = 
= $0.17
This confirms (i) statement
The number of miles per gallon of gasoline = 
= 14.68 miles
The statement (iii) is false.
For question 38 it would be C. -38 because -38 - 7 is -45 and -45 divided by 9 is -5.
Question 35 would be B. 4/5 because 80% converted into a decimal is 4/5.
Hope these helped!! :)
Answer:
The area can be written as
And the value of it is approximately 1.8117
Step-by-step explanation:
x = u/v
y = uv
Lets analyze the lines bordering R replacing x and y by their respective expressions with u and v.
- x*y = u/v * uv = u², therefore, x*y = 1 when u² = 1. Also x*y = 9 if and only if u² = 9
- x=y only if u/v = uv, And that only holds if u = 0 or 1/v = v, and 1/v = v if and only if v² = 1. Similarly y = 4x if and only if 4u/v = uv if and only if v² = 4
Therefore, u² should range between 1 and 9 and v² ranges between 1 and 4. This means that u is between 1 and 3 and v is between 1 and 2 (we are not taking negative values).
Lets compute the partial derivates of x and y over u and v
Therefore, the Jacobian matrix is
![\left[\begin{array}{ccc}\frac{1}{v}&u \, ln(v)\\v&u\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cfrac%7B1%7D%7Bv%7D%26u%20%5C%2C%20ln%28v%29%5C%5Cv%26u%5Cend%7Barray%7D%5Cright%5D)
and its determinant is u/v - uv * ln(v) = u * (1/v - v ln(v))
In order to compute the integral, we can find primitives for u and (1/v-v ln(v)) (which can be separated in 1/v and -vln(v) ). For u it is u²/2. For 1/v it is ln(v), and for -vln(v) , we can solve it by using integration by parts:
Therefore,
Answer:
27 inches
Step-by-step explanation:
We can use a ratio to solve
10 15
---- = ----
18 x
Using cross products
10x = 15*18
10x=270
Divide each side by 10
10x/10 = 270/10
x = 27
Answer:
27
Step-by-step explanation:
You are given that 99 have an automatic transmission. Of those, 64 had only automatic transmission, and 8 had both automatic transmission and power steering. Then the number that have automatic transmission and air conditioning, but not power steering is ...
99 -64 -8 = 27
