For $360, a rock-climbing gym offers yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Write an equation to find the number of visits after which the total cost for a member and the total cost for a nonmember are the same. Then solve the equation.

[tex]\(4.56 \times 10^3\) bulbs/week. After \(9.36 \times 10^2\)[/tex] weeks, approximately [tex]\(4.27 \times 10^6\)[/tex] bulbs produced.

To find the total number of light bulbs the company will produce in [tex]\(9.36 \times 10^2\)[/tex] weeks, you multiply the number of light bulbs produced each week by the number of weeks:

[tex]\[(4.56 \times 10^3) \times (9.36 \times 10^2)\][/tex]

When you multiply numbers in scientific notation, you multiply the coefficients and add the exponents. So:

[tex]\[(4.56 \times 10^3) \times (9.36 \times 10^2) = (4.56 \times 9.36) \times (10^3 \times 10^2)\]\[= 42.6816 \times 10^{3+2}\]\[= 42.6816 \times 10^5\][/tex]

Now, we rewrite [tex]\(42.6816\)[/tex] in scientific notation:

[tex]\[42.6816 = 4.26816 \times 10^1\][/tex]

So, the total number of light bulbs the company will produce is:

[tex]\[4.26816 \times 10^1 \times 10^5 = 4.26816 \times 10^{1+5} = 4.26816 \times 10^6\][/tex]

In scientific notation, the best estimate of the number of light bulbs the company will make in [tex]\(9.36 \times 10^2\) weeks is \(4.27 \times 10^6\).[/tex]

Final answer:

An obtuse angle is one measuring between 90 and 180 degrees. Without a diagram, one cannot name a specific obtuse angle with vertex 'n', but generally, any angle appearing to open wider than 90 degrees at vertex 'n' can be considered obtuse.

Explanation:

To determine an angle with a vertex named 'n' that is obtuse, you need to know that an obtuse angle is one that measures more than 90 degrees but less than 180 degrees. Unfortunately, without a diagram or more context, it's impossible to provide a specific example. However, if you're looking at a diagram where an angle is labeled with the vertex 'n', and you can see that the angle opens wider than a right angle (which is exactly 90 degrees), then that angle is likely obtuse.

For instance, let's consider an angle named angle XnY, where 'n' is the vertex or corner point. If the measure of angle XnY is say, 120 degrees, it is definitively an obtuse angle because it falls between 90 and 180 degrees. The notation for an obtuse angle with vertex 'n' could be written as angle XnY (where 'X' and 'Y' stand for the names of the other points that form the angle with vertex 'n').

Any angle with its vertex at point "n" that measures more than 90 degrees and less than 180 degrees would be considered an obtuse angle.

An angle is a measure of the amount of rotation needed to bring one line or plane into coincidence with another, generally measured in degrees or radians.

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Therefore, any angle with its vertex at point "n" that measures more than 90 degrees and less than 180 degrees would be considered an obtuse angle. An example of such an angle could be ∠ABC, where point B is the vertex and the angle measures, for instance, 120 degrees.

The sales tax on clothing that costs $180 with a sales tax rate of 6% would be $10.80.

We have,

To calculate the sales tax on clothing that costs $180 with a sales tax rate of 6%, you can use the following formula:

Sales Tax = (Sales Price) x (Tax Rate)

Substituting the given values:

6% = 6/100 = 0,06

So,

Sales Tax = $180 x 0.06

Calculating the result:

Sales Tax = $10.80

Therefore,

The sales tax on clothing that costs $180 with a sales tax rate of 6% would be $10.80.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ6

In the equation 4(y - 30) =4y + 12, the correct option is no solution. Therefore, option A is correct.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation. For an unknown quantity represented by an unknown variable, equations are then solved to determine its value. It is clear that a statement is not even an equation if there is no "equal to" sign in it.

Let's solve the equation,

4(y - 30) =4y + 12

4y - 120 = 4y + 12

The value of 4y is got cancelled from both the sides, then the equation has no solution.

To know more about Equation:

https://brainly.com/question/10413253

#SPJ2

My answer would be the fourth one... 2/14

n  = unknown number

5 less than 4 times a number = 4n-5

2 more than 3 times a number = 3n+2

 so you have 4n-5 = 3n +2

add 5 to both sides:

4n=3n+7

subtract 3n from both sides:

n = 7

Answer:

One rule to remember that everyone forgets is, multiply the base number as many times as what the exponent is. So for example, 3² is not 3 x 2 = 6, it's    3 x 3 = 9. Hope that makes sense! :)

Step-by-step explanation:

Answer: 7 sections.

Step-by-step explanation:

Given : Jason draws a line in the sand at the beach.

The line is [tex]\dfrac{7}{8}[/tex] ft long.

He wants to divide the line into sections that are each  [tex]\dfrac{1}{8}[/tex] ft long.

Then, the number of section will the line be divided into is given by using division operation:-

[tex]\dfrac{7}{8}\div\dfrac{1}{8}[/tex]

[tex]\dfrac{7}{8}\times8=7[/tex]  [Change [tex]\dfrac{1}{8}[/tex] by its reciproval (8) to convert division operation into multiplication]

Hence, the line will divided into 7 sections.