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3 years ago

8

How many different outcomes are there if a cube with 4 red faces and 2 white faces is rolled once

1 answer:

Karolina [17]3 years ago

3 0

It is 3 how many different outcomes are they there are three outcomes road once

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Suppose that the functions u and w are defined as follows.

jasenka [17]

Answer(there are assumptions for this answer that you need to confirm and look at):

Assumptions: $u(x)=x^2+3$ and $w(x)=\sqrt{x+2}$

Answer if the operation is multiplication:

If you meant a closed dot which is the symbol for multiplication.

$(u \cdot w)(2)=14$

$(w \cdot u)(2)=14$

Answer if the operation is composition:

If you meant an open dot which is the symbol for composition.

$(u \circ w)(2)=7$

$(w \circ u)(2)=3$

Note: I don't know if you actually meant $w(x)=\sqrt{x+2}$ or if $w(x)=\sqrt{x}+2$ . Please let me know one way or the other.

Step-by-step explanation:

If we assume the functions are:

$u(x)=x^2+3$

$w(x)=\sqrt{x+2}$

$u \cdot w=w \cdot u$ since multiplication is commutative.

$u(2)=2^2+3$

$u(2)=4+3$

$u(2)=7$

$w(2)=\sqrt{2+2}$

$w(2)=\sqrt{4}$

$w(2)=2$

We are asked to find $(u \cdot w)(2)$ and $(w \cdot u)(2)$ .

The order doesn't matter in multiplication.

$(u \cdot w)(2)$

$u(2) \cdot w(2)$

$7 \cdot 2$

$14$

$(w \cdot u)(2)$

$w(2) \cdot u(2)$

$2 \cdot 7$

$14$

Now you might have meant composition which symbolized with an open circle, not a closed one.

$(u \circ w)(2)$

$u(w(2))$

$u(2)$ since $w(2)=2$

$2^2+3$

$4+3$

$7$

$(w \circ u)(2)$

$w(u(2))$

$w(7)$ since $u(2)=7$

$\sqrt{7+2}$

$\sqrt{9}$

$3$

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3 years ago

John is driving the country. He used 75 gallons of gas in 5 days. If he keeps using the gas at the same rate, how many gallons w

Alex Ar [27]

120.

To find out how much gas he is using per day, you can use 75/5 which comes to 15. Then multiplying 15 with the 8 days, you get a sum of 120.

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A cooler of drinks has 5 bottles of water for every 3 sodas. If there are 120 drinks in the cooler, how many are sodas?

jolli1 [7]

The ratio would be 75:45 so there would be 75 waters and 45 sodas

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A rectangular park is 100 yards long and 65 yards wide. Give the length and width of another rectangular park that has the same

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2* 100 + 2 * 65 = 330 perimeter
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2*90 + 2*75 = 330 perimeter
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The vertices of ΔABC are A(2, -5), B (-3, 5), and C (3, -3). The triangle is reflected over the x-axis. Use arrow notation to de

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