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4 years ago

Evaluate the expression 4!

Mathematics

2 answers:

kow [346]4 years ago

5 0

Answer:

Step-by-step explanation:

Using the definition of factorial

n! = n(n - 1)(n - 2) ....... × 3 × 2 × 1, hence

4! = 4 × 3 × 2 × 1 = 24

miss Akunina [59]4 years ago

3 0

Answer:

Step-by-step explanation:

$n!=1\cdot2\cdot3\cdot...\cdot n\\\\\text{Therefore}\\\\4!=1\cdot2\cdot3\cdot4=24$

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What’s the minimum and maximum of values for t for which |t +3| <2

qaws [65]

Answer:

pull over the number aboove the final answer, then you round

Step-by-step explanation:

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4 years ago

Please help me!!! 30 minutes left

Lesechka [4]

Option D:

$\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

To find which expression is equivalent to the given expression.

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $(ab)^m=a^mb^m$

$$=\frac{5^3 a^3 b^{3}}{30 a^{-6} b^{-7}}$

Using exponent rule: $\frac{1}{a^{m}}=a^{-m}, \quad \frac{1}{a^{-m}}=a^{m}$

$$=\frac{125 a^3 b^{3}a^{6} b^{7}}{30 }$

$$=\frac{125 a^3 a^{6} b^{3} b^{7}}{30 }$

Using exponent rule: $a^{m} \cdot a^{n}=a^{m+n}$

$$=\frac{125 a^{3+6} b^{3+7} }{30 }$

$$=\frac{125 a^{9} b^{10} }{30 }$

Divide both numerator and denominator by the common factor 5.

$$=\frac{25 a^{9} b^{10} }{6 }$

$$\frac{(5 a b)^{3}}{30 a^{-6} b^{-7}}=\frac{25 a^{9} b^{10} }{6 }$

Therefore, $\frac{25 a^{9} b^{10} }{6 }$ is equivalent to the given expression.

Hence Option D is the correct answer.

4 0

3 years ago

1. f(x) = 9x^2 - 3 <br> Find the vertex

Margarita [4]

(0,-3)
Was the two supposed to be on the top

4 0

4 years ago

Read 2 more answers

If the points below represent a direct variation, find the missing value (5,14)and (x,28)

bekas [8.4K]

X = 10. 14 x 2 = 28. 5 x 2 = x

8 0

3 years ago

Can someone help me with this geometry question ASAP ty

Sophie [7]

Answer:

angle S 100 option C

Step-by-step explanation:

P and S are consecutive angles

Interior angles of a parallelogram

1. Opposite angles are congruent

2. Consecutive angles are supplementary (They add to 180 )

(2x+20) + (3x+10) = 180

5x+30 = 180

5x = 150

x= 30

angle S 3x30 +10 =

90 +10 = 100

The other angle P 2x30 +20 = 60 +20 = 80

100 +80 = 180

5 0

3 years ago