Answer:
2
Step-by-step explanation:
Answer:
1/8, 1/4, 1/2, 1/2, 1/8 plus 1 tablespoon, 3/8, 1/16, 1/2, 1/8, 1/4
Step-by-step explanation:
multiply the denominator by 2 for each one because fractions are smaller as the number gets bigger.
1. We assume, that the number 40 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 40, so we can write it down as 100%=40.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=40
2) x%=21
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=40/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 21 is what percent of 40
100%/x%=40/21
(100/x)*x=(40/21)*x - we multiply both sides of the equation by x
100=1.90476190476*x - we divide both sides of the equation by (1.90476190476) to get x
100/1.90476190476=x
52.5=x
x=52.5
now we have:
21 is 52.5% of 40
Answer:
3 is the root of the equation.
Step-by-step explanation:
We have to find the root of the polynomial equation x(x-2)(x+3)=18.
We can find the same by using a graphing utility and the system of equations.
We can make two equations which are given by

Now, we plot the graph of these equations and the x-coordinate of the intersection point will be the root of the equation.
the graph has been shown in the attached file.
The intersection point is (3, 18) and the x-coordinate is 3.
Therefore, 3 is the root of the equation.
Answer:
A.) TRUE
B.) TRUE
C.) FALSE
D.) FALSE
E.) FALSE
Step-by-step explanation:
Given that :
SMARTPHONE A:
RAM : 256 MB
ROM : 32 GB
CAMERA RESOLUTION : 8 MP
SMARTPHONE B:
RAM : 288 MB
ROM : 64 GB
CAMERA RESOLUTION : 4 MP
SMARTPHONE C:
RAM : 128 MB
ROM : 32 GB
CAMERA RESOLUTION : 5 MP
Determine the truth value of each of these propositions.
A) Smartphone B has the most RAM of these three smart- phones.
TRUE ; 288 > (256 and 128)
B) Smartphone C has more R O M o r a higher resolution camera than Smartphone B.
C ROM > B ROM = FALSE
C CAMERA RESOLUTION > B camera resolution = TRUE
FALSE or TRUE = TRUE
C.) Smartphone B has more RAM, more R OM, and a higher resolution camera than Smartphone A.
RAM = TRUE ; ROM = TRUE ; CAMERA RESOLUTION = FALSE
TRUE and TRUE and FALSE = FALSE
d) If Smartphone B has more RAM and more R O M than Smartphone C, then it also has a higher resolution camera.
CAMERA RESOLUTION ON SMARTPHONE B IS LESS, HENCE, STATEMENT = FALSE
e) Smartphone A has more RAM than Smartphone B i f and only if Smartphone B has more RAM than Smart- phone A.
1st statement = FALSE
2nd condition = TRUE
FALSE and TRUE
= FALSE