
solve for "r", to see what the radius is
keep in mind that, the diameter is just "2r"
Step-by-step explanation:
(this probably won't help so sorry) this is how I would do it:
6x+24 =90
90-24=66
6x= 66
66/6 =11
x=11
Answer:
a.

b.

Step-by-step explanation:
a. From the information provided, we can deduce that the population death's follows a Geometric sequence in the form
where
and 
#Since the population is reducing,
can is obtained as 
#The
term is obtained using the formula
, given a=1200
The number of ants alive after every month (in first 4 months)

The ant's alive after 4 months is obtained as the value of 

Hence, 936 ants are alive after 4 months.
b. As with the above question, the kitten population follows a geometric sequence:
.
#Since it's a growing population , the common ration is the sum of 100% + the growth rate,
and
and 
The population after 4weeks will be:

Answer:
Part 1) Is a cubic expression
Part 2) The quadratic expression is 12x² + 8x − 1
Step-by-step explanation:
Part 1) Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) <u>By the number of terms</u> is a trinomial, because has three terms
b) <u>By their degree</u> The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Part 2) Choose the expression that represents a quadratic expression
we know that
If the expression is a quadratic equation , then the highest exponent of the variable is 2
therefore
The quadratic expression is 12x² + 8x − 1
Just convert the fractions into decimals. for example, 6 1/2 equals 6.5 as a decimal. 1 9/10 would be converted to 1.9. Then just do 6.5-1.9, and that equals 4.6.