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3 years ago

What is the value of the following expression when d=2? 3d + (2.d)-4

Mathematics

1 answer:

Lostsunrise [7]3 years ago

6 0

Answer:

Step-by-step explanation:

I used a calculator and the answer is 6

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Alicia has 7 paintings she wants to hang side by side on her wall.

melisa1 [442]

The question is an illustration of permutation and combinations.

The number of ways she can choose 4 out of the 7 paintings is 35
The number of ways she can arrange 4 out of the 7 paintings is 840

The given parameters are:

$\mathbf{n = 7}$

$\mathbf{r = 4}$

(a) Choose 4 of 7 paintings

Choosing 4 of 7 paintings implies combination.

So, we have:

$\mathbf{^nC_r = \frac{n!}{(n - r)!r!}}$

Substitute values for n and r

$\mathbf{^7C_4 = \frac{7!}{(7 - 4)!4!}}$

$\mathbf{^7C_4 = \frac{7!}{3!4!}}$

Expand

$\mathbf{^7C_4 = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4 !}}$

$\mathbf{^7C_4 = 35}$

Hence, the number of ways she can choose 4 out of the 7 paintings is 35

(b) Arrange 4 of 7 paintings

Arranging 4 of 7 paintings implies permutation.

So, we have:

$\mathbf{^nP_r = \frac{n!}{(n - r)!}}$

Substitute values for n and r

$\mathbf{^7P_4 = \frac{7!}{(7 - 4)!}}$

$\mathbf{^7P_4 = \frac{7!}{3!}}$

Expand

$\mathbf{^7P_4 = \frac{7 \times 6 \times 5 \times 4 \times 3!}{3!}}$

$\mathbf{^7P_4 = 840}$

Hence, the number of ways she can arrange 4 out of the 7 paintings is 840

Read more about permutation and combinations at:

brainly.com/question/15301090

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3 years ago

A store sells a popular toy for $29 each. the manufacturergets 25% of the total revenue. After the store sells 500 toys, how muc

ahrayia [7]

(500 x 29) x .25 = 3,625

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3 years ago

Read 2 more answers

D = {x|x is a whole number} E = {x|x is a perfect square between 1 and 9} F = {x|x is an even number greater than or equal to 2

ser-zykov [4K]

E = {x|x is a perfect square between 1 and 9} = {1,4
F = {x|x is an even number greater than or equal to 2 and less than 9}
D = {x|x is a whole number}

answer
D ∩ (E ∩ F) = 4

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4 years ago

-3\sqrt(8x^(2))*7\sqrt(3x^(3))

deff fn [24]

The answer would be:
-7sqrt(6x)/4x^3

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3 years ago

You are designing a room for a house and are drawing a floor plan. The room is actually 18 feet wide. On your floor plan, you dr

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The scale factor would be 3 to 1

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