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vlabodo [156]
2 years ago
14

Consider the equation log(3x - 1) = log28. Explain why 3x - 1 is not equal to 8. Describe the steps you would take to solve the

equation, and state what 3x - 1 is equal to
Mathematics
2 answers:
astraxan [27]2 years ago
7 0

Answer:

Answers on edge :)

Step-by-step explanation:

The bases are not the same, so you cannot set 3x - 1 equal to 8.

You can evaluate the logarithm on the right side of the equation to get 3.

You can use the definition of a logarithm to write 3x - 1 = 1000.

irina [24]2 years ago
6 0
This is because logarithm has its own set of properties that is different from algebra. The term log(3x - 1) is equivalent to log 3x/log 1. If we continue to rearrange and find x, the solution would be:

log(3x - 1) = log28
log 3x/log 1 = log 28
log 3x = log 28 * log 1 = 0
3x = 10⁰ = 1
3x = 1
x = 1/3

<em>So, that means 3x - 1 = 3(1/3) - 1 = 0.</em>
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What is the Y - Intercept?
schepotkina [342]
Y intercept is 24. ( y intercept is when x=0 )
3 0
3 years ago
How many different simple random sampmes of size 5 can be obtained from a pppulation whose size is 43?​
Nesterboy [21]

Answer:

Number of random samples = 962598

Step-by-step explanation:

A random sample represents  the responses for a certain survey of a part of the population.

A sample size is the part of the population being surveyed.

For a population N the number of different random samples that can be chosen for a sample size x can be calculated as = NCx

This can be calculated as :

NCx=\frac{N!}{x!(N-x)!}

Given:

Population size = 43

Sample size = 5

Number of random samples = 43C5

⇒ \frac{43!}{5!(43-5)!}

⇒ \frac{43!}{5!(38)!}

⇒ \frac{43\times42\times41\times40\times39}{5\times4\times3\times2\times1}    [Canceling out the common terms]

⇒  962598   (Answer)

4 0
2 years ago
Calculate the angle to the nearest degree: csc (x) = 1.0353
sammy [17]

Answer:

75^{\circ}

Step-by-step explanation:

Given: \csc (x) = 1.0353

To find: angle to the nearest degree

Solution:

A triangle is a polygon that has three sides, three angles ,and three vertices.

Trigonometry explains the relationship between the sides and angles of the triangle.

The angle can be expressed in two forms: degrees or radians.

\csc (x) = 1.0353\\x=74.995\approx 75^{\circ}

5 0
3 years ago
You row a canoe x miles per hour down a river for 20 minutes. On the return trip, you travel 1 mile per hour slower. The return
ozzi

Answer:

Total Distance = 2 miles

Step-by-step explanation:

We know D = RT where

D is distance

R is rate (speed)

T is time

First Leg:

Rate = x mph

Time = 20/60 = 1/3 hour

Hence, D = RT, Distance = x * 1/3 = x/3 miles

Second Leg:

Rate = x - 1

Time = 30/60 = 1/2 hour

Distance = (x - 1) * 1/2 = (x-1)/2

Total distance is the sum of both the legs, hence,

Total distance = \frac{x}{3}+\frac{x-1}{2}=\frac{2x+3(x-1)}{6}=\frac{2x+3x-3}{6}=\frac{5x-3}{6} miles

Since both the distance are equal we can equate and solve:

\frac{x}{3}=\frac{x-1}{2}\\2x=3x-3\\x=3

Plugging this x = 3 into the total distance expression, we get:

\frac{5x-3}{6}\\\frac{5(3)-3}{6}\\=2

Total distance, 2 miles

5 0
3 years ago
$1876 per month for 12 months<br> A) $22,512<br> B) $225.12<br> c) $1888<br> D) None of these
insens350 [35]

Answer:

The answer is A

Step-by-step explanation:

We need to multiply 1876 by 12. 1876 * 12 = 22, 512. That's our answer

5 0
3 years ago
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