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seropon [69]
3 years ago
6

pls help fooood At dinner time in RSM Summer Camp, David noticed that he had three choices of soups, four choices of salads, two

choices of sandwiches, and a choice between tea and juice. If David wanted to select one item from each category including one drink, how many different orders could he make?
Mathematics
1 answer:
prohojiy [21]3 years ago
8 0

Answer:

48

Step-by-step explanation:

To figure this out, we need to multiply the option together.

3*4*2*2=48

There are 48 different orders

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Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3, 1)
elixir [45]

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, the distance between (-5,8) and (-3,1) is

d=\sqrt{(-3-(-5))^2+(1-8)^2}

d=\sqrt{(-3+5)^2+(-7)^2}

d=\sqrt{(2)^2+(-7)^2}

d=\sqrt{4+49}

d=\sqrt{53}

Therefore, the distance between two points (-5,8) and (-3,1) is \sqrt{53} units.

3 0
3 years ago
Could someone check this again ​
ANTONII [103]

Answer:

yeah your right

Step-by-step explanation:

5 0
3 years ago
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Sarah biked the same distance each day for 6 days. If she traveled 468 kilometers altogether, how many kilometers did she travel
I am Lyosha [343]
76 kilometers per day.

Step by step

468 divided by 6 = 76

76•6=468
8 0
3 years ago
skew-symmetric 3 x 3 matrices form as subspace of all 3 x 3 matrices and find a basis for this subspace.
Neporo4naja [7]

Answer:

a) ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

b) therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

Step-by-step explanation:

Given the data in the question;

W = { A| Air Skew symmetric matrix}

= {A | A = -A^T }

A ; O⁻ = -O⁻^T        O⁻ : Zero mstrix

O⁻ ∈ W

now let A, B ∈ W

A = -A^T       B = -B^T

(A+B)^T = A^T + B^T

= -A - B

- ( A + B )

⇒ A + B = -( A + B)^T

∴ A + B ∈ W.

∝ ∈ | R

(∝.A)^T = ∝A^T

= ∝( -A)

= -( ∝A)

(∝A) = -( ∝A)^T

∴ ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

A ∈ W

A = -AT

A = \left[\begin{array}{ccc}o&a&b\\-a&o&c\\-b&-c&0\end{array}\right]

= a\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] +b\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] +c\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]

therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

8 0
3 years ago
Solve the system of equations
ira [324]

Answer:

  B) x = 2, y = 1

Step-by-step explanation:

Add the two equations to eliminate the x-variable.

  (x +3y) +(-x +6y) = (5) +(4)

  9y = 9 . . . . . . .simplify

  y = 1 . . . . . . . . divide by 9

You can substitute this value into either equation to find x.

  x + 3(1) = 5

  x = 2 . . . . . . . . subtract 3

The solution is (x, y) = (2, 1).

7 0
3 years ago
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