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Illusion [34]
2 years ago
8

What value of x makes the equation 3^(x-5)=27^(x+4) true?

Mathematics
1 answer:
SVEN [57.7K]2 years ago
7 0

Answer:

The attached file contains the solution to the question

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How do i find the length of a square when the perimeter is 54cm
kozerog [31]

Answer:

Divide the perimeter by four.

Step-by-step explanation:

Because it is a square, all four sides should be the same length. If all sides have to be equal, you divide your perimeter by the amount of sides the shape has.

8 0
3 years ago
34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a
Vlad1618 [11]

Answer:

24.6 < μ < 27.2

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{3.8}{\sqrt{34}} = 1.3

The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.

The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.

So the correct answer is:

24.6 < μ < 27.2

4 0
3 years ago
For f(x) = 0.02(2)^x find the average rate of change from x= 3 to x= 8
Fudgin [204]

None of the offered choices is correct.

f(3) = 0.02·2³ = 0.02·8 = 0.16

f(8) = 0.02·2⁸ = 0.02·256 = 5.12

Then the average rate of change is

... (f(8) - f(3))/(8 - 3) = (5.12 -0.16)/5 = 4.96/5 = 0.992

5 0
3 years ago
Are the equations 9x=5x+4 and 14x=4 equivilant?​
Paha777 [63]

Answer:

No

Step-by-step explanation:

First solve both equations:

1) 9x = 5x + 4

Simplifying

9x = 5x + 4

Reorder the terms:

9x = 4 + 5x

Solving

9x = 4 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

9x + -5x = 4 + 5x + -5x

Combine like terms: 9x + -5x = 4x

4x = 4 + 5x + -5x

Combine like terms: 5x + -5x = 0

4x = 4 + 0

4x = 4

Divide each side by '4'.

x = 1

Simplifying

x = 1

2) 14x = 4

14x = 4 (divide both sides by 14 to get x)

14x/14 = 4/14

x = 0.285714285714

As you can see, the value of x in the second equations is less than one, therefore making these algebraic equations not equivalent.

4 0
2 years ago
Read 2 more answers
Jan's average score after fifteen tests was 82. Her average on the next five tests was 90. What was her average score for all tw
Leokris [45]

Answer:

86

Step-by-step explanation:

82+90=172

172/2 (divided by two because thats how many numbers we added up to get 172)

172/2=86

86 is your answer

4 0
3 years ago
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