Answer:
-1/2
Step-by-step explanation:
We need to get a common denominator of 10
-4/5 *2/2 = -8/10
-8/10 +3/10
-5/10
Divide the top and bottom by 5
-1/2
Answer:
10 in.
Step-by-step explanation:
The area of a rhombus is the product of the lengths of the diagonals divided by 2.
Let the diagonals be x and y.
area = xy/2
Here you have
area = 40 in.^2
x = 8 in.
We are looking for y, the other diagonal.
xy/2 = area
(8 in.)y/2 = 40 in.^2
(8 in.)y = 80 in.^2
y = 10 in.
Answer: The other diagonal has length 10 in.
We have that
<span>A).Formulate a recursive sequence modeling the number of grams after n hours.
a(n) = 0.75*a(n-1)
</span>B) .Use the model to calculate the amount of contaminants after the third hour of the experiment.
<span> for the first hour
</span>a(1) = 0.75*a(0)
<span>a0=400 g
a1=(3/4)400 = 300 g
for the second hour
</span>a(2) = 0.75*a(1)
<span>a1=300 g
a2=(3/4)300 = 900/4 g
for the third hour
</span>a(3) = 0.75*a(2)
<span>a2=900/4 g
(3/4)900/4 = 2700/16 = 168.75 g
the answer is </span>168.75 g
A customer borrowed $2000 and then a further $1000 both repayble in 12 months. What would he have saved if he had taken out one loan for $3000 repayable in 12 months?
He took two different loans, it charged him loan processing fee twice, two-time documentation process, and of course, extra time spent for second loan. Instead, he could take single loan of $3000 with one-time processing fee, one-time documentation process, and time-saving also.
Step-by-step explanation:
the domain is the interval or set of all valid input values (values of x).
while the range is the interval or set of all valid result values (y values).
so, we don't need to look at the answer options dealing with y. the domain only concerns x.
and when you look at the graph it shows you that every number on the x-axis from all the way to the left to all the way to the right is valid (from -infinity to +infinity).
and the function itself (the cubic root of x) did not provide any theoretical limits. you can take the cubic root from any number, positive or negative.
therefore, the third answer option is correct (all x, where x is a real number).
