<h3>
Answer: 360</h3>
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Explanation:
We have 3 even values (2,4, and 6) so this is the number of choices we have for the units digit. Recall that a number is even if the units digit is 0,2,4,6 or 8.
Once we have the units digit selected, we have 6-1 = 5 choices for the first slot, 6-2 = 4 choices for the second slot, and so on until we get down to 6-5 = 1 choice for the fifth slot
We could write it out like this
- slot one = 5 choices
- slot two = 4 choices
- slot three = 3 choices
- slot four = 2 choices
- slot five = 1 choice
- slot six = units digit = 3 choices
Multiply those values out: 5*4*3*2*1*3 = 360
There are 360 different even numbers possible.
Answer:
0 - 20
1 -22
5 - 30
10 - 40
15 - 50
20 - 60
Step-by-step explanation:
The initial amount this equation is 20 so that is why at 0 shirts its still 20 dollars for the set up fee and 2 dollars per shirt. Now that we have this information we can actually make a linear equation
y = 2x + 20
y = the total cost
x = the number of shirts
All you have to do next is plug in the number of shirts to get the total cost
Example: 2(1) + 20 = y
2 + 20 = y
22 = y
Meaning for 1 shirt it would be 22 dollars in total
Answer:
A. -2sin(x)sin(0.4x)
Step-by-step explanation:
At x=0, the given expression evaluates to zero.
For x near zero, the given expression is slightly negative. You know this because cos(1.4x) decreases faster than cos(0.6x), so their difference will be negative.
Of the answer choices, you can eliminate C and D because they are not zero at x=0. You can eliminate choice B, because it is positive for values of x near zero. The only viable choice is A:
-2sin(x)sin(0.4x)
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Of course, a graphing calculator can help you figure this out. See the attachment. The given expression is plotted using a solid red line; the answer choice A is plotted using blue dots.
9514 1404 393
Answer:
x ≈ 0.7798
Step-by-step explanation:
For this to be an exponential function, the variable needs to be in the exponent. That is, parentheses are needed.
e^(8x) = 512
8x = ln(512) . . . . . take the natural log
x = ln(512)/8 ≈ 0.7798
3.2+4=7.2
6.6/2.2=3
3+7.2=10.2
10.2
