Answer:
Total number of choices with a straw: 12
Total number of choices without a straw: 12
Total number of choices: 24
Step-by-step explanation:
Taj has a choice of:
- water, iced tea, or lemonade (3 options)
- with lemon or lime twist (2 options)
- served in a small or large glass (2 options)
This made a total of 3*2*2: 12 different choices
if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24
Answer:
Some of the Exponents = -2 that is true, not 2.
Step-by-step explanation:
Let's check one at a time.
(a)The 6 without an exponent is equivalent to the 6 having a 0 exponent.
and 
= 6 (no exponent. 6 
1 therefore this statement is False.
(b)The sum of the exponents is -2.
let's check , if the base is same we can add the exponents that is the exponent rule.(well established).
if we add exponents in the given expression we get.
, therefore we can see that the sum of the exponents = -2 this is true.
(c) An equivalent expression is 65.6-7, lets evaluate our above expression, it is equal to 
which we can see that 
,therefore this statement is false as well.
Answer:
Step-by-step explanation:
The equation for photon energy is given by:
Where:
This equation telling us that the higher the frequency of the photon, the greater its energy. And the longer the photon wavelength, the lower its energy.
So, replacing the data provided in the previous equation:
Answer:
(1, 3)
Step-by-step explanation:
x - 3y = -8
3x + y = 6
Isolate a variable in one of the equations:
y = 6 - 3x
Substitute the value of y into the other equation:
x - 3(6 - 3x) = -8
Use distributive property:
x - 18 + 9x = -8
Combine like terms:
10x - 18 = -8
Isolate the variable:
10x = 10
x = 1
Substitute the value of x into any equation:
3(1) + y = 6
3 + y = 6
Isolate the variable:
y = 3
Answer: 50
Step-by-step explanation:
