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julia-pushkina [17]
3 years ago
12

Express the given logarithm in terms of common logarithms. Then approximate its value to four decimal places.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
4 0

Answer:

3.4594

Step-by-step explanation:

To change the base of a logarithm

• log_{b} x = \frac{log_{c}x }{log_{c}b }

where c represents the new base

Changing the base from 2 to 10

log_{2} 11 = \frac{log_{10}11 }{log_{10}2 } ≈ 3.4594

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Lapatulllka [165]

Answer:

11/9

Step-by-step explanation:

It's called a calculator

Pls give Brainliest!!

3 0
3 years ago
Read 2 more answers
What is the solution to this system of equations, and what does it mean to the contractor? The solution (0, 20) tells the contra
oksano4ka [1.4K]

The question is incomplete. Here is the complete question:

A contractor has two choices for billing a completed job.

· $500 flat rate, regardless of the number of hours worked

· $20 per hour worked

The graph shows the relationship between pay per hour and number of hours worked for both scenarios.

What is the solution to this system of equations, and what does it mean to the contractor?

A.The solution (0, 20) tells the contractor the minimum amount that can be charged.

B.The solution (0, 500) tells the contractor the maximum amount that can be charged.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Answer:

The graph is attached below.

C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Step-by-step explanation:

As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.

The hourly rate is given as $20.

The solution to the given lines drawn on the graph is the point of intersection of the two curves.

As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.

So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.

Hence, the correct option is (C).

3 0
3 years ago
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What is the answer to number 18?
dmitriy555 [2]

Answer: 3n ×9

Step-by-step explanation:

The product of 3 times a N number equals 3n or 3 ×N but you should write 3n then times it by 9

7 0
3 years ago
The Research Triangle in North Carolina is formed by Raleigh, Durham, and Chapel Hill. Is this triangle a right triangle? Explai
ryzh [129]

The triangle is not a right triangle. This is because the sum of the square of the two shorter lengths is not equal to the square of the longest length.

<h3>Is the triangle a right triangle?</h3>

In order to determine if the triangle is a right triangle, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where a = length

b = base

c = hypotenuse

12 ² + 24²

= 144 + 576 = 720

29² = 841

To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

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7 0
2 years ago
Assume that women's heights are normally distributed with a mean given by , and a standard deviation given by . μ = 63.5 in σ =
tresset_1 [31]
<span> (a) if 1 woman is randomly selected, find the probability that her height is less than 64 in
using z-score formula:
z-score=(x-mu)/sig
(64-63.5)/2.8
=0.18
thus
P(x<64)=P(z<0.18)-=0.5714

B] </span><span> if 33 women are randomly selected, find the probability that they have a mean height less than 64 in
using the central limit theorem of sample means, we shall have:
2.8/</span>√33=0.49
since n>30 we use z-distribtuion
z(64)=(64-63.5)/0.49=1.191
The
P(x_bar<64)=P(x<1.191)=0.8830
8 0
3 years ago
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