Answer:
17576000 different possible license plates
Step-by-step explanation:
Note that in the question, repetition is allowed for both the letters and digits.
For the first letter, there are 26 choices to make. For the each of the letters, there are 26 choices for the second letter, and for each of the letters, there are another 26 choices for the third letter.
Therefore, this gives us 26x26x26 = 17576 possible pairs of letters.
For the three numbers, we have ten possibilities for the first digit, ten possibilities for the second digit, and ten possibilities for the third digit.
Therefore, this gives us 10x10x10 =1000 possible numbers.
The combined possibility of the license plates in both three letters and three numbers is 17576 x 1000 = 17576000 different possible license plates.
Answer:
145
Step-by-step explanation:
Its the opposite angle of 145
Answer:
11.81 minutes
Step-by-step explanation:
Here is a simple step-by-step explaination of how to solve this word problem:
Since the truck has 2,400L in it to begin with, the first part of our equation will be 2,400L

Next we know that the water in the truck decreases at a <u>rate</u> of 110L/min, or <u>Liters per minute</u>.
So we will put that in the equation:

Now that we have our equation set up, its time to solve.
To figure out how much water it needs to lose in <u>total</u> to end up with 1100 L left, we subtract 1,100 from 2,400.

Now we can take that number and divide it by how many liters per minute were lost.
So the total amount of time it took for the truck to have 1,100 L left is 11.81 minutes. Your answer would be
B.
min
Hope this helps! : )
The curve has been attached and the answer choices are:
y = 3x² – 2x + 1
y = 3x² – 6x + 3
y = 3x²<span> – 7x + 1
</span>
The attached graph has a vertex in the first quadrant. Therefore, the coordinates of the vertex would be both positive.
Let's start with first equation:
y = 3x² – 2x + 1
using the equation of axis:
x = -b/2a
x = 2/6
x = 1/3
SUbstituting the value of x in the main equation to get the y-coordinate of the vertex.
y = 3(1/3)² – 2(1/3) + 1
y = 3/9 – 2/3 + 1
y = 1/3 – 2/3 + 1
y = (1 - 2 + 3)/3
y = 2/3
Hence, the vertex would be:
(h,k) = (1/3 , 2/3)
Also, the leading coefficient is positive, so the parabola would be concave up.
Thus the final answer choice will be:
y = 3x² – 2x + 1