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tankabanditka [31]
3 years ago
14

How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0
120 x (1/6) = 20 times
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Identify the factors of x2 + 25y2. ...?
Sveta_85 [38]
Is the equation like this? x^2 + 25y^2?
If the equation is like that, the answer would be (x-5y)^2 or (x-5y)(x-5y).
how did I get this? Just divide the factors or the get the square root of 25y^2 and it would be 5y. Then just try if it is positive or negative. In this case, it is negative because there is no factor w/ no exponential form. I hopemy answer helped you.
4 0
3 years ago
35. Explain the difference between the reciprocal of x^2
Scorpion4ik [409]

Answer:

As you can see, the difference between the reciprocal of x^2 and the inverse of   x^2 is that \frac{1}{x^2} =x^{-2} and \sqrt{x} =x^{\frac{1}{2}.

Step-by-step explanation:

First lets find both the reciprocal of x^2 and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of x^2, 1 is the denominator, so

\frac{x^2}{1} =\frac{1}{x^2}

To find the inverse of a function, you first need swap the locations of x and y in the equation

y=x^2\\\\x=y^2

Now, you need to solve for y

y^2=x\\\\y=\sqrt{x}

Now, lets rewrite each of these to better compare them

\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}

As you can see, the difference between the reciprocal of x^2 and the inverse of

7 0
3 years ago
Find the sum
lakkis [162]

Answer:

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

Step-by-step explanation:

Let

S = 2b/(b+a)^2 + 2a/(b^2-a^2)   factor denominator

= 2b/(b+a)^2 + 2a/((b+a)(b-a))     factor denominators

= 1/(b+a) ( 2b/(b+a) + 2a/(b-a))    find common denominator

= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a))   expand

= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a))  simplify & factor

= 2/(b+a)(b^2+a^2)/((b+a)(b-a))  simplify & rearrange

= 2(b^2+a^2)/((b+a)^2(b-a))

Numerator = 2(b^2+a^2)    or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

4 0
3 years ago
SOLVE.PLS HELP HURRY I PUT TEN POINTS! click to see full and the lines mean the estimate here is the question:estimate then add
dimaraw [331]
The first one is 17 13/15 the second one is 22 1/20
4 0
3 years ago
PLEASE ANSWER QUICK One year, the population of a city was 164,000. Several years later it was 182,040. Find the percent increas
Katena32 [7]

Answer:

There was an 11% increase.

Step-by-step explanation:

The formula to find a percent increase is this: (original amount - new amount / original amount) * 100

If you fill in the formula, you get this:

(164,000 - 182,040 / 164,000) * 100

Solve:

(-18,040 / 164,000) * 100 ---> If the number being divided is negative, find the absolute value.

(18,040 / 164,000) * 100 =

0.11 * 100

11%

5 0
3 years ago
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