24 marbles in the first group
28 marbles in the second group
Answer:
A. Area of ABCD = 240 
B. 60 cm
C. 36 cm
D. 50 cm
Step-by-step explanation:
Given: AB = 24cm BC = 10cm and AE = 13cm.
A. Since a rectangle is a 2 dimensional figure, it has no volume but area.
So that,
the area of the rectangle ABCD = length x width
= 24 x 10
= 240 
B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.
=
+ 
=
+ 
= 676
BD = 
= 26
BD = 26 cm
so that,
the circumference of BCD = 10 + 24 + 26
= 60 cm
C. To calculate the circumference of the BEC triangle,
AC = 26 cm, AE = 13 cm
CE = 26 - 13
= 13 cm
CE = 13 cm
The circumference of the BEC triangle = 13 + 13 + 10
= 36 cm
D. The circumference of the DEC triangle = 13 + 13 + 24
= 50 cm
Answer:
60 minutes
Step-by-step explanation:
to find this, we will first determine how long it takes austin to run one mile.
18 miles / 180 minutes
1 mile / 10 minutes
it takes austin to run 10 minutes to run 1 mile
now, we will multiply the number of minutes it takes by 6 to find how long it takes austin to run 6 miles.
1 mile / 10 minutes
6 miles / 60 minutes
it takes austin 60 minutes to run 6 miles
Consider the exponential function 
By definition, the domain of a function is the set of input argument values for which the function is real and defined.
Let we take
then 
then 
then 
If we chose larger values of x, we get larger function values.
For example, If we take 


Thus if we choose smaller and smaller values of x. the f unction values will be smaller and smaller functions.
Thus the domain of the function is the set of all real numbers.
Thus the range is limited to the set of positive real numbers. That is, 
If we choose larger values of x, we will get larger function values, as the function values will be larger powers of 2.
If we choose smaller and smaller x values, the function values will be smaller and smaller fractions.