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3 years ago

Simplify the following expression. Log(x^3) -log (x^2)

Mathematics

1 answer:

Nuetrik [128]3 years ago

8 0

Since you are subtracting 2 logs, you write the single log as a quotient.

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What is the side length of the eectagkes

dedylja [7]

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Step-by-step explanation:

1. 5 in and 1/3 in

Here,

$Let\\l=5\\w=\frac{1}{3}\\Area=l*w\\=5*\frac{1}{3}\\=\frac{5}{3}\ in^2$

2. 5 in and 4/3 in

Here,

$l= 5\ in\\w=\frac{4}{3}\ in\\Area=l*w\\=5*\frac{4}{3}\\=\frac{20}{3}\ in^2$

3. 5/2 in and 4/3 in

$let\\l=\frac{5}{2}\\w=\frac{4}{3}\\Area= \frac{5}{2}*\frac{4}{3}\\=\frac{20}{6}=\frac{10}{3}\ in^2$

4. 7/6 in and 6/7 in

Let

$l=\frac{6}{7}\\w=\frac{7}{6}\\Area=l*w\\=\frac{6}{7}*\frac{7}{6}\\=1\ in^2$

Hence,

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Keywords: Rectangle, Area

Learn more about rectangles at:

#LearnwithBrainly

8 0

3 years ago

Explain how you can use a 10 by 10 grid to model 42%

tia_tia [17]

a 10-by-10 grid means there are 100 squares and percent is out of 100 so if you have 42% then you just need to fill in 42 squares

4 0

2 years ago

can some one also please help my one that i should do after i finds the area of the square aka how to find the area of the trian

Andre45 [30]

Answer:

6 square units

Step-by-step explanation:

Given shape is of a trapezoid:

$area \: of \: trapezoid \\ = \frac{1}{2} \times (4 + 2) \times 2 \\ \\ = 6 \: {units}^{2}$

Area of shape = area of square + area of triangle

$= 2^2 + \frac{1}{2} \times 2\times 2\\= 4 + 2\\= 6\: units^2 \\$

4 0

3 years ago

Write the first 5 terms of the recursive sequence defined below. a1=0 an=2(an-1)²-1, for n>1

Aleksandr-060686 [28]

Answer:

0, -1, 1, 1, 1

Step-by-step explanation:

Given recursive formula

a₁ = 0
aₙ = 2(aₙ₋₁)² - 1, for n>1

The first 5 terms are:

a₁ = 0
a₂ = 2(0)² - 1 = 0 - 1 = -1
a₃ = 2(-1)² - 1 = 2 - 1 = 1
a₄ = 2(1)² - 1 = 2 - 1 = 1
a₅ = 2(1)² - 1 = 2 - 1 = 1

7 0

3 years ago

You are creating a decorative rope that is at least 20 feet long. You do not have enough 6 inch beads to make the rope, so you w

Inessa05 [86]

You can use at most 24 beads that are 10 inches long to decorate the rope.

Step-by-step explanation:

Given,

Length of rope = 120 feet

1 foot = 12 inches

20 foot = 20*12 = 240 inches

Length of bead = 10 inches

Let,

x represents the number of beads used on rope.

As the rope is 240 inches long, therefore, the total length of beads cannot exceed 240 inches.

Length of each bead*Number of beads ≤ length of rope

$10*x\leq 240\\10x\leq 240$

Dividing both sides by 10

$\frac{10x}{10}\leq \frac{240}{10}\\x\leq 24$

You can use at most 24 beads that are 10 inches long to decorate the rope.

Keywords: inequality, division

Learn more about inequalities at:

#LearnwithBrainly

4 0

3 years ago