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mestny [16]
3 years ago
15

How many numbers between 111 and 100100100 (inclusive) are divisible by 444 or 999?

Mathematics
1 answer:
FrozenT [24]3 years ago
6 0

Answer:

100100100/999=100,200

100100100=225,450

325,650 would be your answer

Step-by-step explanation:

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Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level. sim
charle [14.2K]

Gaming a video-game designer is using the expression 6n3 in a program to determine points earned, where n is the game level.

Given expression is 6n^3. the given expression is for the nth level.

To simplify the expression for the  n^2 level, we plug in n^2  in the place of 'n' in the given expression

6n^3

6(n^2)^3 (multiply the exponents)

6n^6


5 0
3 years ago
Read 2 more answers
Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).
zzz [600]

Answer:

F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

Step-by-step explanation:

We have given F(S)=\frac{7e^{-7s}}{s^2-49}

Now  F(S)=e^{-7s}G(s)

Here G(S)=\frac{7}{S^2-49}

Now first find the Laplace inverse of G(S)

Using partial fraction

\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}

7=A(S-7)+B(S+7)

On comparing the coefficient

A=\frac{1}{2}  and B=\frac{-1}{2}  

On putting the value of A and B  

G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}

Taking inverse Laplace

G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}

Now in G(s) there is onether term e^{-7s}

So F(t)=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}

6 0
3 years ago
Write 58 1/2 in radical form
Natalija [7]
58^(1/2) is √58 if that is what you meant
4 0
3 years ago
A standard number cube is tossed. Find the following probability. ​P(greater than 4 or odd​)
lorasvet [3.4K]
A standard cube has 6 possible outcomes. But since we want to find P(4+ or odd), the outcomes become more narrow.
So:
6 outcomes -> 1, 2, 3, 4, 5, 6

But we want to find 4+
So:
4+ = 4, 5, 6

We also want to find all odd possibilities.
So:
odd = 1, 3, 5

As you can see, there is a 5 in both the 4+ and the odd numbers so 5 will only be counted once.
P(4+ or odd) = 1, 3, 4, 5, 6

So the probability of having an outcome that is P(4+ or odd) is:
5/6 or 0.8333 or 83.33%

Hope I helped!
8 0
3 years ago
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The slope of the line going through the points 2,6 and -1,-3
Verizon [17]
Answer: 3
hope that helps!

8 0
3 years ago
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