Answer:
46
Step-by-step explanation:
Let number is x greater than 21 and x less than 71.
Now, according to question,
21+x=71−x
2x=50
x=25
So, required number is 21+x=21+25=46.
Alternatively,
The required number would be the average or mean of 21 and 71.
So, required number =
2
(21+71)
=46.
Answer:
Option D (the weight of crab) would be the correct choice.
Step-by-step explanation:
- In mathematics, the sum being analyzed depending on a variety of parameters, which have been calculated as explanatory variables, has become a response variable.
- It is analogous with the utilization of the definition of variables of the study. A variable with an order to respond is categorized as either a dependent variable.
Some other preferences are not connected with the sustaining. So choice D is the right one.
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
In this question:
Composite function:
The composite function is:
At x = 1
So
When x = 1, (f◦g)(x) is -2.
We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
