Answer:
Step-by-step explanation:
To solve, we need to take square root of both sides first:
Now we use the property of radical shown below to simplify square root of 28:
Property:
Now, we have:
Now we take 4 to the other side and isolate x:
first answer choice is right.
Answer:
Option (4)
Step-by-step explanation:
Perimeter of a polygon is the sum of measures of all sides of the polygon.
From the picture attached,
Distance run by Dallas = Perimeter of the ground
= 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50
= 256 yards
Total warm up run by Dallas = 256 yards
Therefore, Option (4) will be the correct option.
Answer:
d.
Step-by-step explanation:
Hello!
The population is the set of elements that you are interested in studying. In this example, the instructor wants to know the number of days Lake Tahoe Community College math students are absent from class during a quarter. To do so she will take a random sample of math students and register the number of absences of each student. Each math student is an element of the population.
Then the population is "Lake Tahoe Community College math students"
I hope it helps!
Answer:
(5 - y) ^3 = 125 - 75y + 15y^2 - y^3
Step-by-step explanation:
Binomial expression
1
1. 1
1. 2. 1
1. 3. 3. 1 --------power of 3
( 5 - y) ^3
( 5 - y) (5 - y) (5 - y)
( a + b) ^3 = a^3 + 3a^2b + 3ab^2 + b^3
a = 5
b = -y
( 5 - y) ^2 = ( 5 - y) (5 - y)
= 5( 5 - y) - y(5 - y)
= 25 - 5y - 5y + y^2
=(25-10y+y^2)
( 25 - 10y + y^2)( 5 - y)
= 5(25 - 10y + y^2) - y( 25 - 10y + y^2)
= 125 - 50y + 5y^2 - 25y + 10y^2 - y^3
Collect the like terms
= 125 - 50y - 25y + 5y^2 + 10y^2 - y^3
= 125 - 75y + 15y^2 - y^3
Hello.
The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.
The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.
Your answer is: "C.)"
I hope this helps!