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nadya68 [22]
3 years ago
7

Which of the following is equivalent to log816? a. 2 b. 1.248 c. 4/3 d. 3/4

Mathematics
2 answers:
Anna11 [10]3 years ago
8 0

Answer:  The correct option is (c) \dfrac{4}{3}.

Step-by-step explanation:  We are to select the correct value that is equivalent to the following expression :

E=\log_8{16}.

We will be using the following logarithmic properties :

(i)~\log a^b=b\log a,\\\\(ii)~\log_ab=\dfrac{\log b}{\log a}.

So, the given expression becomes

E\\\\=\log_8{16}\\\\\\=\dfrac{\log16}{\log8}\\\\\\=\dfrac{\log2^4}{\log2^3}\\\\\\=\dfrac{4\log2}{3\log2}\\\\\\=\dfrac{4}{3}.

Thus, the required value is \dfrac{4}{3}.

Option (c) is CORRECT.

ElenaW [278]3 years ago
5 0
X=4/3
C 4/3 hope this helped
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3 years ago
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Damian works after school. Each
nadya68 [22]

Answer:

f(x) = 12x = 10

Step-by-step explanation:

We need a linear equation in the slope-intercept form.

y = mx + b

where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value

Let's look in the table.

1 hour: $22

2 hours: $34

The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.

The difference in time between 1 hour and 2 hours is 1 hour.

In 1 hour he earns $12. That means the slope is 12.

We know he earns $22 for working a total of 1 hour.

Start at 1 hour and $22 on the table.

Subtract 1 hour from 1 hour to get 0 hours.

Subtract $12 form $22 to get $10.

That means for 0 hours he gets $10. b = 10

The equation is

y = 12x + 10

In function form, we have:

f(x) = 12x = 10

5 0
2 years ago
Theo is building a garden against his house. He bought two pieces of wood that are each five feet long. He wants to create a tri
liubo4ka [24]
Given:
two pieces of wood that are 5 feet long each.
form a triangle with a perimeter of a whole number.
third side the triangle will be the house 

Since two sides are already of the same length, he can create an isosceles triangle. 

An isosceles triangle has two equal sides and two equal angles.

Assuming that the 3rd side is also 5 feet long, then, he can create an equilateral triangle.

An equilateral triangle has three equal sides and three equal angles, measuring 60° each angle.
7 0
3 years ago
Min has a shelf filled with books. The books have different thicknesses. This line plot shows the thickness of each book. He pil
Vladimir [108]

Answer:

$2\frac{1}{4} \ inch$

Step-by-step explanation:

We have the four thickest books from the line plot given by

Two books of $\frac{1}{2}$ inch thick and the two books of $\frac{5}{8}$ inch thickness.

So when the two $\frac{1}{2}$ inch thick book is being piled on the top of a $\frac{5}{8}$ inch thick books.

Therefore, the total thickness of the pile of books is given by :

$=2 \times \frac{1}{2}+2 \times \frac{5}{8}$

$=\frac{9}{4}$

$=2\frac{1}{4} \ inch$

Therefore, the thickness of the pile is $2\frac{1}{4} \ inch$ .

7 0
3 years ago
Question 4 of 5
Alex787 [66]

The data set that has a variation, or mean absolute deviation, similar to the data set in the given dot plot is; Option D

<h3>How to Interpret Dot Plots?</h3>

The given dot plots options are as seen in the attached brainly link.

Now, the sample dot plot shows a total of 10 dots with 3 dots on 52, 2 dots on 53, 1 dots each on 54, 55, 56, 57, 58.

Looking at the options, the only one that represents the variation, or mean absolute deviation of the given sample is Option D.

Read more about Dot Plots at; brainly.com/question/22247061

#SPJ1

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2 years ago
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