Step-by-step explanation:
Total numbers of pizza toppings = 12
Number of three topping pizzas can be ordered are:
where = n = number of elements
k = number of elements choosen
n= 12 , k = 3
We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.
The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.
In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.
V=4/3πr^3
V=4/3(3.14)(4 cm)^3
V=4/3)(3.14)(64 cm^3)
V=267.9 cm^3
The volume of the sphere is 267.9 cubic centimeters.
The recursive formula can be used to generate the shown sequence
Step-by-step explanation:
Recursive formula is the formula that is used to generate the next term of a sequence using previous term.
The general form of arithmetic sequence's recursive formula is:
Given
5,-1,-7,-13,-19
Here
First of all we have to find the common difference of the sequence.
So,
Putting the value of d in the general recursive formula
Hence,
The recursive formula can be used to generate the shown sequence
Keywords: Sequence, arithmetic sequence
Learn more about arithmetic sequence at:
#LearnwithBrainly
Okay so for 2x-y > 3
Subtract -2 from each side
-y>-2x+3
Divide by -1
And when you divid you gotta switch signs
So it’s y<2x-3
3x-5y less than and equal to 25
Subtract 3
-5y is less than and equal to -3x+25
Then divide by -5
Flip since we divide
Y more than and equal to 3/5x-5
We always flip signs when we divid or multiple
I hope this help
Sorry if I’m wrong
Plane #1 speed: x mph
Plane #2 speed: (x+30) mph
time = time becomes
170 mi 185 mi
---------- = --------------
x x+30
Solving for x, the speed of the slower plane, we get
170x + 5100 = 185 x
5100
Then 15x = 5100, and x = ---------- (mi/hr) = 340 mph
15
The slower plane flies at 340 mph, and the faster one at 370 mph.