9c + 4 = -23
9c = -27
c = -3
64 = 2 ^6
16 = 2^4 =
2^ 6*(2x+4) = 2^4 * 5x
6(2x+4) = 20x
10/3 x = 2x +4
4/3 x = 4
x = 3
you can also use logarithms like so
(2x+4)ln64 = 5x ln16
ln64/ln16 = 3/2
3/2 * 2x + 3/2 * 4 = 5x
3x + 6 = 5x
2x = 6
x = 3
Answer:
3rd one and last one
Step-by-step explanation:
First one:
4 × 3 × 4 = 48
Second one:
1 × 2 × 4 = 8
Third one:
2 × 3 × 5 = 30
Fourth one:
2 × 5 × 4 = 40
Fifth one:
2 × 2 × 4 = 16
Process of elimination:
The first one is itself greater than 47 units³, so this is definitely not one of the two;
A combination of the fourth prism and the smallest one as the second will give a volume of 48 units³, which is greater than 47 so this prism is also not one of the two we are looking for;
This leaves the second, third and fifth;
The second and third sum to 38, which is less than 42 so it is not the correct combination;
Similarly, the second and last gives only 24 so it is not the correct combination;
This leaves the only remaining option of the third and fifth;
30 + 16 = 46, which confirms this to be the correct combination.
Answer:
x > 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-2(x - 3) < 4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide -2 on both sides: x - 3 > -2
- Add 3 to both sides: x > 1
Here we see that any value <em>x</em> greater than 1 would work as a solution to the equation.
Answer:
t = 2.5 s
Step-by-step explanation:
Suppose you have a water-balloon launcher. The balloon is 3 ft high when it leaves the launcher. Its equation is :

The above equation is a quadratic equation. The general equation is :

Here, a = 16, b = 38.8 and c = 3
The solution of quadratic equation is given by :

So, at t = 2.5 s the balloon is in air.