<h3>
Answer: 648</h3>
Explanation:
For the first slot, we have 9 digits to choose from (1 through 9).
Whatever we pick for the first choice, we have 9 choices left for the second slot. Say we picked 2 for the first slot. That means we have {0,1,X,3,4,5,6,7,8,9} to choose from. I used X to indicate we can't pick that digit any more. You'll see there are 9 items in that list.
Then for the third slot, we had 8 choices to pick from
Overall we have 9*9*8 = 81*8 = 648 different area codes possible where the first digit cannot be zero.
The number terms in the given expression is 3, they are 5xy, -3x and -82.
The given expression is 5xy-3x-82.
<h3>What is an expression?</h3>
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
In the given expression 5xy-3x-82, there are three terms, which are 5xy, -3x and -82.
Therefore, the number terms in the given expression is 3, they are 5xy, -3x and -82.
To learn more about an expression visit;
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Answer:
answer is the number 5
Step-by-step explanation:
First you square root 9 which is 3. Then u 3-1= 2. then u times 2 by 6 which equals = 12. Then minus 7 from this number. 12-7=5 ur number is 5.
Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
Answer:
-3e^-2x(x+1)
Step-by-step explanation:
formula of byparts integration:
g(x)∫f(x)dx-∫∫f(x).d/dx(g(x))dx
=(6x+3)∫e^-2x dx-∫∫e^-2x.d/dx(6x+3)dx
=(6x+3)((e-2x)/-2)-∫(e^-2x)/-2 .6 dx
=(6x+3)((e-2x)/-2)+3(e^-2x)/-2
=(6xe-2x+3e-2x+3e-2x)/-2
=(6xe-2x+6e-2x)/-2
=6e^-2x(x+1)/-2
=-3e^-2x(x+1)