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Katena32 [7]
3 years ago
10

How many different six-digit decimal numbers can be formed where the first digit is a 1 or the last digit is a 5?

Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer:

10000 different numbers

Step-by-step explanation:

The numbers will have the form 1XXXX5, in this case, the order is important because 123465 is a different number to 123645. To know the total of differents decimal numbers, use the formula of permutation with repetition:

n^r

n is the number of options, n=10, and r the number of times you have to place a digit, r=4.

10^4=10000

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In the Central Grand Prix, out of 30 cars that started the race, 12 of them finished. What percent of the cars finished the race
zvonat [6]

Answer:

40% finished, which means that 60% did not.

Step-by-step explanation:

a = p*w

12 = p*30

12/30=p

.40 = p

40%

6 0
3 years ago
Can u proof it pls indeed help<br>ΑΔΒ = ΒΔΑ.​
Contact [7]

Answer:

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6 0
4 years ago
A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
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lesya692 [45]

Answer:36

Step-by-step explanation:

36 to the third power

5 0
3 years ago
Solve for a in the figure shown.
aleksandrvk [35]

Answer: 58 is the answer

hope this help and here my steps use a mark or a pin

and line it with the line if it's wrong sorry for the wrong

answer

7 0
3 years ago
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