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2 years ago

Multiply.

Mathematics

1 answer:

Volgvan2 years ago

5 0

The product of -23 and -4 is 92

<h3>Product of negative numbers</h3>

Given the following expression below;

(−23)⋅(−4)

We are to find the product of the expression as shown;

(−23)⋅(−4) = -(20 + 3) * -(4)

Since the product of two negative signs is equal to positive, hence;

(−23)⋅(−4) =(+)(20+3) * 4

(−23)⋅(−4) = 20(4) + 3(4)

(−23)⋅(−4) = 80 + 12

(−23)⋅(−4) = 92

Hence the product of -23 and -4 is 92

Learn more on product here; brainly.com/question/17485302

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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:

$\mathbf{n = 7}$

$\mathbf{r = 4}$

<u>(a) Choose 4 of 7 paintings</u>

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

<u>(b) Arrange 4 of 7 paintings</u>

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

H(n) = 3^n+3; Find h (3n)

olya-2409 [2.1K]

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

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Answer:

2 fractions <em>are</em> equal

Step-by-step explanation:

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Say a recipe calls for 2 cups of flour to 3 eggs. That proportion, 2 cups flour : 3 eggs, will always stay the same, no matter how many serving we make. If we make 2 servings, we'd double to 4 cups and 6 eggs, but that wouldn't change the proportion. After all,

$\frac{2}{3}=\frac{4}{6}$

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Step-by-step explanation:

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