(n+12) • 9
to simplify, use the distributive property
9 • 12 = 108
9 • n = 9n
9n • 108
Answer:
h = 2.7 m
Step-by-step explanation:
ΔADE and ΔABC are similar, hence ratios of corresponding sides are equal
DE / BC = AD / AB, that is
h / 0.9 = 18 / 6 ( cross- multiply )
6h = 16.2 ( divide both sides by 6 )
h = 2.7
Answer:
In average, houses in the particular area use 119,6 therms of gas during the month of January.
Step-by-step explanation:
The μ formula is:
μ= ΣXi/N
ΣXi= is the sum of each xi. xi is each observation in the sample.
N= Total number of observations.
For this case:
ΣXi= 125+103+118+ 109+ 122+ 82+ 99+ 138+ 151+ 149
ΣXi= 1196
N= 10
μ= 1196/10
μ= 119,6
In average, houses in the particular area use 119,6 therms of gas during the month of January.
Answer:
r = 144 units
Step-by-step explanation:
The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;
In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.
Substituting the terms of the equation and the derivative of r´, as follows,
Doing the operations inside of the brackets the derivatives are:
1 ) 
2) 
Entering these values of the integral is
It is possible to factorize the quadratic function and the integral can reduced as,
Thus, evaluate from 0 to 16
The value is 
Answer: John's situation
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each situation.
John’s situation:
The amount of money that John has (y) is equal to his school account (40) minus the product of the number of days (x) and the amount he spends per day( 3)
y =40-3x
As days pass by, John has less money (negative rate of change)
Judy's situation
The amount of money that Judy has in her savings account (y) is equal to the product of the number of days (x) and the amount he saves per day (20/2)
y = x (20/2)
