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Komok [63]
3 years ago
13

When a die is rolled three times, there are how many possible outcomes?

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0
6 outcomes every roll, 6^3 = 216
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A cylinder and a come have the same volume. The cylinder has a radius of 2 inches and a height of 3 inches. The cone has radius
MrRissso [65]

Answer: 4in

Step-by-step explanation:

Volume of a cylinder = πR²H

Volume of a cone = 1/3πr²h

πR²H = 1/3πr²h

π is very common so it could be cancelled, so the equation now becomes

R²H = 1/3r²h

3R²H = r²h

Now substitute for the values

h = 3 x 2² x 3

--------------

3²

= 9 x 4/9

= 4in.

Therefore, the height of the cone

h = 4in.

4 0
2 years ago
Assume that T is a linear transformation. Find the standard matrix of T. T: R^3 right arrow R^2 , T(e 1) =(1,2), and T(e2 ) =( -
irina [24]

Answer:

A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]

Step-by-step explanation:

Given

T:R^3->R^2

T(e_1) = (1,2)

T(e_2) = (-4,6)

T(e_3) = (2,-6)

Required

Find the standard matrix

The standard matrix (A) is given by

Ax = T(x)

Where

T(x) = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]

Ax = T(x) becomes

Ax = [T(e_1)\ T(e_2)\ T(e_3)]\left[\begin{array}{c}x_1&x_2&x_3\\-&&x_n\end{array}\right]

The x on both sides cancel out; and, we're left with:

A = [T(e_1)\ T(e_2)\ T(e_3)]

Recall that:

T(e_1) = (1,2)

T(e_2) = (-4,6)

T(e_3) = (2,-6)

In matrix:

(a,b) is represented as: \left[\begin{array}{c}a\\b\end{array}\right]

So:

T(e_1) = (1,2) = \left[\begin{array}{c}1\\2\end{array}\right]

T(e_2) = (-4,6)=\left[\begin{array}{c}-4\\6\end{array}\right]

T(e_3) = (2,-6)=\left[\begin{array}{c}2\\-6\end{array}\right]

Substitute the above expressions in A = [T(e_1)\ T(e_2)\ T(e_3)]

A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]

Hence, the standard of the matrix A is:

A = \left[\begin{array}{ccc}1&-4&2\\2&6&-6\end{array}\right]

6 0
3 years ago
The football team ordered 2 pizzas, they didn't eat 1/12 of one pizza and 2/4 of the other. How much pizza was left?
kodGreya [7K]
To equally divide the pizzas, let's use a similar point to base on the remaining pizzas. On the first pizza 1/12 was not eaten an the other was 2/4. Use 12 as the base parts. 1/12 +2/4. 2/4 is equal to 1/2, so let's used 6/12 (also 1/2) to replace 2/4 to add both fractions. 1/12+6/12=7/12.
3 0
3 years ago
Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz Group A uses a
Anastaziya [24]

Answer:

Step-by-step explanation:

The answer is b trust me

8 0
3 years ago
Read 2 more answers
There are eight employees on the Game Shop's sales teams. Last month, they sold a total of g games. One of the sales teams membe
liberstina [14]

Answer:

g/8 - 17

Step-by-step explanation:

Number of employees = 8

Total games sold = g

Average sales per employee = total games sold / number of employees = g/8

Chris sold 17 fewer games than the average sales per employee :

Chris sale = average sale per employee - 17

Chris sales = g/8 - 17

4 0
2 years ago
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