Answer:
The smallest possible value for x is 
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so

The value of x must be greater than 
so
If x must be a whole number
therefore
The smallest possible value for x is 
M=c•p
multiplying the prince by the number of cars washed will give you the total amount of money the school has raised
Answer: Eleventh Grade
Step-by-step
The ratio of tenth graders to the school's total population is 86:255 = 33.7%.
The ratio of eleventh graders to the school's total population is 18:51 = 35.3%.
Since the probability of a student being in either tenth, eleventh, or twelfth grade = 1 = 100% (that is, certainty), then the probability of a randomly drawn student being in twelfth grade is (100-33.7-35.3)% = 31.0%.
When randomly choosing one student from the whole school, it is most likely (35.3%) that the student is in the eleventh grade.
Dana can type 90 words per minute.
Since, 1 minute =
hours
Therefore, number of words she can type = 
= 90×60
= 5400 words per hour
If she types
words in 'x' hours.
Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time
= 
Therefore, 


hours
Therefore, Dana types
words in 48.15 hours.
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Answer:
Option B , C , E are characteristics of the function .
Step-by-step explanation:
Given : function f(x)=2(x-4)^5.
To find : What are the characteristics of the function .
Solution : We have given that f(x)=2
.
By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.
Since , Option E is correct.
It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.
Option C is also correct.
By transformation rule it is vertical stretch and shift to right (B )
Therefore, Option B , C , E are characteristics of the function .