Answer: There are 198 different combinations.
Step-by-step explanation:
To solve this type of problem, first, we need to identify the selections.
We have 3 selections.
Baby doll, Jigsaw puzzle, and a stuffed dog.
Now, we need to count the numbers of options for each case:
Baby doll: 11 options.
Jigsaw Puzzle: 6 options.
Stuffed dog: 3 options.
To find the total number of different combinations, we need to multiply all the numbers of options together, this is:
Combinations = 11*6*3 = 198
There are 198 different combinations.
Answer:
C. 31 units
Step-by-step explanation:
Circumference of a circle is the distance around the circle and is given by C = pi•d
Your circle with a point and center given has a radius of 5 because from (2,1) to (7,1) is 5 units. Radius 5 means the diameter is 10.
C = pi•10
= 3.14•10
= 31.4 using 3.14 as an approximation for pi.
Circumference is approximately 31 units.
Answer:
x=√2, x=-√2, x= 3 and x=-3
Step-by-step explanation:
We need to solve the equation x^4 - 11x^2+18=0
We can replace x^4 = u^2 and x^2 = u
So, the equation will become
u^2 -11u+18 = 0
Factorizing the above equation:
u^2 -9u-2u+18 =0
u(u-9)-2(u-9)=0
(u-2)(u-9)=0
u=2, u=9
As, u = x^2, Putting back the value:
x^2 =2 , x^2 =9
taking square roots:
√x^2 =√2 ,√x^2=√9
x=±√2 , x = ±3
so, x=√2, x=-√2, x= 3 and x=-3
40,000 divided by 10 is 4,000
