how to solve 3x-2
…………..

Answer:

60% i got it

Step-by-step explanation:

6000/500= 12

12/20*100= 60%

Answer:67%

Step-by-step explanation:

To calculate depletion expense, you need to determine the depletion per unit. The depletion per unit can be calculated by taking (cost of the resource) / total units of capacity.

Depletion is an accounting method used to allocate the cost of natural resources over their useful life. It is commonly used in industries such as mining, oil and gas extraction, and timber harvesting, where companies extract and deplete natural resources as part of their operations.

The first step in calculating depletion expense is to determine the cost of the resource. This includes all costs incurred to acquire and develop the resource, such as exploration costs, development costs, and acquisition costs. These costs are typically capitalized and then allocated over the estimated recoverable units of the resource.

Once you have determined the cost of the resource, you need to calculate the total units of capacity. This refers to the estimated amount of resource that can be extracted or harvested from the reserve. For example, in mining, it could be measured in tons of ore, while in oil and gas extraction, it could be measured in barrels or cubic feet.

To calculate the depletion per unit, divide the cost of the resource by the total units of capacity. This will give you the amount of depletion expense that should be recognized for each unit extracted or harvested.

It's important to note that there are different methods for calculating depletion expense, such as units-of-production method and percentage depletion method. The units-of-production method calculates depletion based on actual production or extraction during a given period. On the other hand, the percentage depletion method allows for a fixed percentage deduction from gross income based on statutory rates.

In conclusion, to calculate depletion expense, you need to determine the depletion per unit by dividing the cost of the resource by the total units of capacity. This allows for an appropriate allocation of costs over the useful life of natural resources.

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Answer:

y = 3x + 1

Step-by-step explanation:

The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

Answer:

UwU

Step-by-step explanation:

Use the distributive property to factor a monomial out of a polynomial. Factors are numbers that multiply together to produce another number. For example, 2 and 10 are factors of 20, as are 4 and 5 and 1 and 20. Factoring is the process of breaking a number down into its multiplicative factors.

Answer: Factoring is the opposite of using the distributive property to multiply. If you had: 7(3x + 8), you would distribute the 7 and multiply it both both terms. Factoring reverses that process.

Step-by-step explanation: Hope am right!

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

If you have a required return of 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, you would be willing to pay approximately $206,595.71 for this investment.

To determine the value you would be willing to pay for this investment, we can use the concept of present value. The present value of an investment is the current worth of the future cash flows it will generate. In this case, the investment will pay you $800 a month for 40 years.

To calculate the present value, we can use the formula:

\(PV = CF / (1 + r)^n\)

Where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods.

In this case, the cash flow is $800 per month, the required return is 6% per year (or 0.06/12 = 0.005 per month), and the number of periods is 40 years * 12 months = 480 months.

Plugging these values into the formula, we have:

PV = $800 / \((1 + 0.005)^(480)\)

Calculating this expression, we find that the present value is approximately $206,595.71. Therefore, you would be willing to pay approximately $206,595.71 for this investment to achieve your required return of 6% per year, compounded monthly.

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There are 7 different non-congruent right triangles with integer side lengths and a perimeter of less than 75.

We can solve this problem by generating all possible triangle side lengths and then checking if the triangle is a right triangle and if the perimeter is less than 75.

First, we start with the smallest possible triangle with sides of lengths 3, 4, and 5. This triangle is a right triangle and has a perimeter of 12, which is less than 75.

Next, we move on to the next largest triangle with sides of lengths 5, 12, and 13. This triangle is also a right triangle and has a perimeter of 30, which is less than 75.

We keep increasing the side lengths until the perimeter is greater than or equal to 75. After this point, we stop generating triangles because they will no longer be less than 75.

Through this process, we have found that there are 7 different non-congruent right triangles with integer side lengths and a perimeter of less than 75. These triangles are (3, 4, 5), (5, 12, 13), (6, 8, 10), (7, 24, 25), (8, 15, 17), (9, 12, 15), and (10, 24, 26).

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Answer:74.1176470588

Step-by-step explanation:

Answer:well you should have paid more attention in class

Step-by-step explanation:

The length of YZ if the value of XY and YZ is 7

If the point Y is on line segment XZ, then;

XY + YZ = XZ

Given the following parameters

XY=2 and YZ=5,

Substitute the given parameters

XZ = 2 + 5

XZ = 7

Hence the length of YZ if the value of XY and YZ is 7

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Answer:

3

Step-by-step explanation:

Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean  and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean.

here, we have,

Given,

In the question:

The times to pop a regular bag of microwave popcorn without burning it are Normally distributed with a mean time of 140 seconds and a standard deviation of 20 seconds. The times to pop a mini bag of microwave popcorn without burning it are Normally distributed with a mean time of 90 seconds and a standard deviation of 15 seconds.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 140, standard deviation of 20, sample of 4:

By the Central Limit Theorem, the distribution is approximately normal.

Mean is the same, of 140.

n = 4 , σ = 20, thus:

s = σ /√n  

 = 20/√4

 = 10

Thus, the correct answer is:

Approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

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The number of coffee mugs that can be made is 12.

From the information, the pottery studio has 11 pounds of clay and it It takes 7/8 of clay to make a coffee mug.

The number of coffee mugs that can be made will be:

= Number of pounds of clay / Fraction used for each mug

= 11 / 7/8

= 11 × 8/7

= 88 / 7

= 12

There'll be 12 coffee mugs.

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Answer:

1/5

rise over run

1- the inches

over 5- the days

The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

atom is a particle of matter that uniquely defines a chemical element. An atom consists of a central nucleus that is surrounded by one or more negatively charged electrons. The nucleus is positively charged and contains one or more relatively heavy particles known as protons and neutrons.

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

$47.3

Explanation:

First, we need to find the corresponding value for the all-brick apartment located downtown. So, taking into account the table, we will use the value 0.43 because he wishes to ensure his belongings.

Then, using the fact that the value of the belongings in the apartment is about $11,000, we get that we can calculate how much he will have to pay as follows:

Therefore, he will have to pay $47.3 for insurance.

The value of x from the given triangle is 7√2 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given triangle, one of the angle in right angle triangle is 45°, opposite side is 7 units and hypotenuse is x units.

We know that, sinθ =Opposite/Hypotenuse

sin45°=7/x

1/√2=7/x

x=7√2 units

Therefore, the value of x is 7√2 units.

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equation of the circle with given data is,

Hence, option 3 is correct.

Answer:

0

Step-by-step explanation:

To solve this, you first plug in the 4 and 2 where the x and y's go, making the expression (4 - 2(2))*(4 + 2(2)). Then you solve each parenthesis (below).

(4 - 2(2))*(4 + 2(2)).

(4 - 4)*(4 + 4).

0*8

0

Hope this helped! If you have any questions, feel free to message me :)

The equivalent fractions are
1.) 5/6 > 4/6

5.) 7/8 > 4/8
9.) 8/10 < 15/10
13.) 6/8 < 7/8

what is a fraction?

A fraction is a mathematical expression that represents a part of a whole or a division of one quantity into equal parts. It consists of two parts, a numerator and a denominator. The numerator represents the number of equal parts of the whole and the denominator represents the total number of parts the whole is divided into.

1.) 5/6 ___ 2/3

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 6 and 3 is 6. So, to make the denominator of 2/3 equal to 6, multiply both the numerator and denominator by 2:

2/3 * 2/2 = 4/6

Now, both 5/6 and 4/6 have a common denominator of 6. So, we can easily compare:

5/6 __ 4/6

5/6 is greater than 4/6, so the answer is 5/6 > 4/6

5.) 7/8 ___ 1/2

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 8 and 2 is 8. So, to make the denominator of 1/2 equal to 8, multiply both the numerator and denominator by 4:

1/2 * 4/4 = 4/8

Now, both 7/8 and 4/8 have a common denominator of 8. So, we can easily compare:

7/8 __ 4/8

7/8 is greater than 4/8, so the answer is 7/8 > 4/8

9.) 8/10 ___ 3/4

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 10 and 4 is 10. So, to make the denominator of 3/4 equal to 10, multiply both the numerator and denominator by 5/5:

3/4 * 5/5 = 15/10

Now, both 8/10 and 15/10 have a common denominator of 10. So, we can easily compare:

8/10 __ 15/10

8/10 is less than 15/10, so the answer is 8/10 < 15/10

13.) 3/4 ___ 7/8

To compare these fractions, it's best to find equivalent fractions with a common denominator. A common denominator for 4 and 8 is 8. So, to make the denominator of 3/4 equal to 8, multiply both the numerator and denominator by 2:

3/4 * 2/2 = 6/8

Now, both 6/8 and 7/8 have a common denominator of 8. So, we can easily compare:

6/8 __ 7/8

6/8 is less than 7/8, so the answer is 6/8 < 7/8

Hence, the equivalent fractions are
1.) 5/6 > 4/6

5.) 7/8 > 4/8
9.) 8/10 < 15/10
13.) 6/8 < 7/8

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Answer:

131.688

Step-by-step explanation:

In a convex polygon, the sum of all the exterior angles is always equal to 360 degrees. Given that the four of the exterior angles each measure 56 degrees, we can find the measure of the fifth angle by following these steps:

Here is the step by step explanation

1. Calculate the sum of the four exterior angles that is  4 x 56 = 224 degrees.

2. Subtract the sum of the four angles from the total sum of exterior angles in a convex polygon (360 degrees): 360 - 224 = 136 degrees.

Therefore, the measure of the fifth exterior angle is 136 degrees.

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Answer:

(b)

Step-by-step explanation:

This is inverse variation.  As y increases (but not allowed to be zero), x decreases.  Thus, (b) is correct:  y varies inversely with x.

The relation between the variables in the equation x= -3/y. Thus, (b) is correct, y varies inversely with x.

Let there are two variables p and q,

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

\(p \propto q\)  

where, that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then, m and n are said to be inversely proportional to each other if

\(m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}\)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by;

\(m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}\)

As , increasing one variable will decrease the other variable if both are inversely proportional.

Here the relation between the variables in the equation x= -3/y;

This is inverse variation, As y increases (but not allowed to be zero), x decreases.

Thus, (b) is correct, y varies inversely with x.

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The mean is 16 and the standard deviation is 1.5.

a) Create a stemplot with the given data.

Stem | Leaves

1 | 2 2 3 3 4 5 5 6 6 7 7 8

b) Find the Five Number Summary for this data set.

The five number summary is:

Minimum: 12

First Quartile (Q1): 15

Median: 16

Third Quartile (Q3): 18

Maximum: 20

c) Identify if there are any outliers. Be sure to show your work.

There are no outliers in this data set. The data points are all within 1.5 times the interquartile range of the median.

d) Construct a boxplot.

Minimum     12

Q1       15

Median    16

Q3       18

Maximum    20

e) What is the shape of the distribution

The distribution is symmetric.

f) What measure of center and measure of variability would be best choice for this data? Explain your reasoning

The mean and standard deviation would be the best measures of center and variability for this data. The mean is a good measure of center because the data is symmetric. The standard deviation is a good measure of variability because the data is not too spread out.

g) Find the mean and standard deviation for the given data set.

The mean is 16 and the standard deviation is 1.5.

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Interval should we restrict cosine so as to obtain a one-to-one function, so that the resulting inverse is a function will be 0 ≤ x ≤π.

The standard trig functions repeat themselves means they are periodic. Therefore, multiple input values of the function, the same output value appeaed. This makes inverse functions impossible to construct. To solve equations involving trig functions, it is imperative for inverse functions to exist. Thus, mathematicians have to restrict the trig function to create these inverses.

To define an inverse function, the original function must be one-to-one. For a one-to-one correspondence to exist. (a) each value in the domain must correspond to exactly one value in the range, and (b) each value in the range must correspond to exactly one value in the domain. The second is not but the first restriction is shared by all functions. The sine function, for example, does not satisfy the second restriction, since the same value in the range corresponds to many values in the domain.

Sine function is not one to one. To define the inverse functions for sine and cosine, the domains of these functions are restricted. The restriction that is placed on the domain values of the cosine function is 0 ≤ x ≤ π . This restricted function is called Cosine. Note the capital ^ C deg in Cosine.

Graph of restricted cosine function. The inverse cosine function is defined as the inverse of the restricted Cosine function Cos -1 (cos x) = x ≤ π Therefore

Graph of inverse cosine function.

y = Cos ^ - 1 * x where 0 <= y <= π and - 1 ≤ x ≤1

Identities for the cosine and inverse cosine:

cos(Cos ^ - 1 * x) = x

- 1 ≤ x ≤1

Cos ^ - 1 * (cos x) = x

0 ≤ x ≤π

The inverse sine function's development is similar to that of the cosine. The restriction that is placed on the domain values of the sine function is

- π/2 ≤ x ≤ π/2

Graph of inverse sine function.

- π/2 ≤ x ≤ π/2

The graphs of the functions y = cos x and y = cos - 1 x are reflections of each other about the line y = x The graphs of the functions y = sin x and y = Sin - 1 xare also reflections of each other about the line y = x.

Interval should we restrict cosine so as to obtain a one-to-one function, so that the resulting inverse is a function will be 0 ≤ x ≤π.

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Answer:

The skydiver has an initial height of 3600.

Step-by-step explanation:

3600 is the y-intercept in the form y=mx+b

In the point (0,3600) .Time is the x-axis and Height is the y-axis.

Replacing,

3600= m(0)+b

b=3600

Taking another point: (2, 3536)

We apply the formula to obtain the slope.

m= (y2-y1) / (x2-x1)

m= (3536 - 3600) / (2-0)

m= -64 / 2

m= -32

Joining all the terms:

y=-32x+3600

The stated statement states that 5856 gallons were delivered in a single day.

According to WebMD, drinking a gallon of water every day may considerably increase your energy level. This is one reason to strive for this goal. Poor energy is a frequent issue. Some people experience midday sluggishness and would prefer a soda or indeed a cup of tea than a drinking glass of water.

488 dozen gallons will be delivered in a day.

G stands for the quantity of gallons supplied that day.

Remember: 12 is one dozen.

Hence, 488 gallons * 12 = 5856 gallons were supplied in a single day.

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Answer:

2-241x

Step-by-step explanation: