About 84.82
Step-by-step explanation:
The formula to find the volume of a cone is pi*r^2*(h/3). The formula to find radius is diameter/2. 6/2=3. Since r=3 and h=9, pi*3^2*(9/3)=84.82
The given inequality is:
-5c + 2 ≤ 27
Subtracting 2 from both sides, we get:
-5c + 2 - 2 ≤ 27 - 2
-5x ≤ 25
Dividing by 5 on both sides we get:
- x ≤ 5
Multiplying by -1 we get:
x ≥ 5
Remember that multiplying or dividing by a negative number changes the direction of inequality symbol.
From the given options, the second graph correctly represents this solution.
Answer:
see explanation
Step-by-step explanation:
3x² + 5x + 2 = 0
(a)
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 2 = 6 and sum = 5
The factors are + 3 and + 2
Use these factors to split the x- term
3x² + 3x + 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x + 1) + 2(x + 1) = 0 ← factor out (x + 1) from each term
(x + 1)(3x + 2) = 0
(b)
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = -
In order to evaluate the expression, certain order should be followed. We should start by evaluating terms in brackets, then move on to any multiplication or division and finally evaluate addition and subtraction.
In the given term, we will start by evaluating the term in brackets and then evaluate the subtraction outside the bracket.
It is also good to know the following (note the signs and the resulting operation):
2 + 2 = 4
2 - 2 = 0
2 + -2 = 2 - 2 = 0
-2 -2 = -4
-2 + -2 = -2 -2 = 4
-2 + 2 = 0
Now for the term we have:
<span> n-n-(n+n-m) where m = 6 and n = -10
Substituting in the expression, we will get:
-10 - -10 - (-10 + -10 - 6)
which can be written as:
-10 + 10 - (-10 - 10 - 6)
evaluating the term in brackets we get:
-10 + 10 - (-26)
which can be written as:
-10 + 10 + 26 = 0 + 26 = 26
Therefore, the final result is 26.</span>
5% of $450 is $22.50
Add.
450+22.50
Sum.
472.50 for one years interest.