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Bond [772]
2 years ago
15

What is the true solution to 3 l n 2 + l n 8 = 2 l n (4 x)

Mathematics
2 answers:
IrinaVladis [17]2 years ago
8 0

Answer:  2

<u>Step-by-step explanation:</u>

3 ln (2) + ln (8) = 2 ln (4x)

  ln (2)³ + ln (8) =   ln (4x)²

  ln (2³ · 8)        =   ln (4x)²

      (2³ · 8)        =      (4x)²    

           64         =      16x²

            4          =          x²

           ±2        =           x

-2 is an extraneous solution because x > 0

The only valid answer is x = 2

notka56 [123]2 years ago
5 0

Answer:

C. on edge

Step-by-step explanation:

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The equation y=2x+3 represents the cost y (in dollars) of mailing a package that weighs x pounds. a. Graph the equation. b. Usin
FinnZ [79.3K]

Answer:

B. Slightly more than $5

Step-by-step explanation:

y = 2x + 3

Firstly we check variables to make sure we understand.

y = dollars

x = pounds

On the scale, it says 1.126 lb. Which means 1.126 pounds.

And so, x = 1.126

y = 2x + 3

y = 2(1.126) + 3

y = 2.252 + 3

y = 2.252

The graph for part a and park b. It is underneath. I wrote 1.1, because it is rounded down from 1.126 lb, which is part b. The one with one line and no dots is part a.

4 0
2 years ago
Which statement about a rotation is true? A. Rotating a right trapezoid around its vertical axis will form a cone. B. Rotating a
yawa3891 [41]

Rotating a shape involves moving it in a circular way around its axis

The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.

<h3>How to determine the rotation?</h3>

When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape

As a general rule, the rotation of a right triangle around its axis would form a cone.

Hence, the true statement about the rotation is (c)

Read more about rotation at:

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3 0
2 years ago
A market researcher for Eric’s Electronics wants to study TV viewing habits of residents in Chicago. The individuals in the surv
Elena L [17]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

σ = population standard Deviation

n = number of samples

From the information given

1) x = 17.5

σ = 5

n = 50

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, confidence level of 90% is 1.645

Margin of error = 1.645 × 5/√50 = 1.16

Confidence interval = 17.5 ± 1.16

3 0
3 years ago
Which diagram shows the 3d shape out of these on the photo.
sleet_krkn [62]

Answer:

C

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4 0
3 years ago
The sum of three numbers 13. The sum of twice the first number, five times the second number, and six times the third number is
Kruka [31]

Answer:

The three numbers are 56/5, -39/5 and 78/5.

Step-by-step explanation:

EQUATION 1:

First number: x

Second number: y

Third number: z

x + y + z = 19

EQUATION 2:

Sum of following is 77

Twice the first number: 2x

5 times the second number: 5y

6 times the third number: 6z

So, 2x + 5y + 6z = 77

EQUATION 3:

Difference between first and second number is 19.

x - y = 19

Equation 1: x + y + z = 19

Equation 2: 2x + 5y + 6z = 77

Equation 3: x - y = 19

1. Find x in terms of y

x - y = 19

x = 19 + y

2. Find y in terms of z by putting the value of x in first and second equation

  x + y + z = 19

  (19 + y)+ y + z = 19

  2y + z = 19 - 19

  2y + z = 0

  y = -z/2

and

2(19+y)+5y+6z=77

now putting the value of y in this equation

2(19-z/2)+5(-z/2)+6z=77

38 - z -5z/2 +6z = 77

5z/2 + 38 = 77

5z/2 = 39

z = 78/5

Now, y = -z/2

y = (-78/5)/2

y = -39/5

and  x = 19 + y

x = 19 - 39/5

x = 56/5

Therefore, the three numbers are 56/5, -39/5 and 78/5.

Keyword: Sum

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#LearnwithBrainly

7 0
2 years ago
Read 2 more answers
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