Help find centroid for these

Answer:

Total time = (length of one song) x (number of songs)

Length of one song = 3/8 minutes

Number of songs = 12

Total time = (3/8) x 12

Total time = 36/8

Simplifying the fraction, we get:

Total time = 4 and 4/8 minutes

Total time = 4 and 1/2 minutes

Therefore, Michael sang for a total of 4 and 1/2 minutes.

Answer:

The answer is going to be A. [tex]8x^{3} + 16x^{2} - 4x + 15[/tex]

Step-by-step explanation:

The simplified expression is (x+1)^2/(2x-1).

To simplify the expression ((x)/(x+1)+1)*(1+x)/(2x-1), we can begin by multiplying the numerator and denominator of the first fraction by x+1 to eliminate the fraction in the numerator:

((x)/(x+1)+1)*(1+x)/(2x-1)

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

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

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

= (x^2 + 2x + 1)/(2x-1)

Now, the expression is simplified to (x^2 + 2x + 1)/(2x-1).

We can further simplify this expression by factoring the numerator as (x+1)^2:

(x^2 + 2x + 1)/(2x-1) = (x+1)^2/(2x-1)

Note that I did not solve for any variables or values, as the original expression did not provide an equation or specific values to solve for. Instead, I simplified the expression to its most simplified form.

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Answer:

Follow the guided instructions below to rotate the figure 90° clockwise about the point (2, 3).

Step-by-step explanation:

Follow the guided instructions below to rotate the figure 90° clockwise about the point (2, 3).

Answer:15 because it is connected to the line

Step-by-step explanation:

Answer:

8.9

Step-by-step explanation:

9.0-0.1= 8.9

which is one-tenth less than 9

The answer is f(-x) = x^4 + 6x + 2 and the function is neither even nor odd.

To find f(-x), we simply substitute -x for x in the original function:

f(-x) = (-x)^4 - 6(-x) + 2 = x^4 + 6x + 2

Now, to determine if f is even, odd, or neither, we compare f(x) and f(-x). If f(x) = f(-x), then the function is even. If f(x) = -f(-x), then the function is odd. If neither of these conditions are met, then the function is neither even nor odd.

In this case, f(x) = x^4 - 6x + 2 and f(-x) = x^4 + 6x + 2. These are not equal, so the function is not even. However, if we multiply f(-x) by -1, we get:

-f(-x) = -x^4 - 6x - 2

This is also not equal to f(x), so the function is not odd either. Therefore, the function is neither even nor odd.

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If the ratio is less than 1, then the series converges, and if the ratio is greater than 1, then the series diverges.

To find the properties that two units are sold in a given day, the formula P(2) is used.

The Ratio Test can be used to determine the convergence or divergence of the series given by the expression n=1∑[infinity]2nn2→.

To use the Ratio Test, you must calculate the ratio of the values of the  successive terms that occurs in the series.

The ratio is calculated by dividing the n+1th term by the nth term.

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Converting 33 pints into quarts is 16.5 Quarts.

The pint (symbol: pt) is a unit of volume or capacity in both the imperial and United States customary measurement systems.

The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups.

To calculate 33 Pints to the corresponding value in Quarts,

We multiply the quantity in Pints by 0.5 (conversion factor).

In this case we should multiply 33 Pints by 0.5 to get the equivalent result in Quarts:

33 Pints x 0.5 = 16.5 Quarts

Hence, 33 Pints is equivalent to 16.5 Quarts.

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Match the description with the step accordingly:

How many times larger is 2 × 10⁻² then 3 × 10⁻⁶: Divide the larger Scientific Notation by the smaller Scientific Notation - divide coefficients and subtract exponents.

Difference between 2 × 10⁻² and 3× 10⁻⁶: Subtract by getting the same exponent to be like terms.

400 times 2 × 10³: Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

Scientific notation is a way of expressing numbers that are too large or too small (usually would result in a long string of digits) to be conveniently written in decimal form.

To find How many times larger is 2 × 10⁻² then 3 × 10⁻⁶. Divide the larger Scientific Notation by the smaller Scientific Notation - divide coefficients and subtract exponents. That is:

(3 × 10⁻⁶)/(2 × 10⁻²) = 3/2 × 10⁻⁶⁻⁽⁻²⁾ = 1.5×10⁻⁴

To find the difference between 2 × 10⁻² and 3× 10⁻⁶. Subtract by getting the same exponent to be like terms. That is:

2×10⁻² - 3×10⁻⁶ = (2 × 10⁻²) - (0.0003× 10⁻²)

                           = (2 - 0.0003) × 10⁻²

                           = (2 - 0.0003) × 10⁻²

                           = 1.9997× 10⁻²

For 400 times 2 × 10³. Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents. That is:

400 × 2 × 10³ = 4 × 10² × 2 × 10³

                     = 4 × 2 × 10³ × 10²

                     = 4 × 2 × 10³⁺²

                     = 8 × 10⁵

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Answer:

300

Step-by-step explanation:

x(100%-7%)=279

        0.93x=279

                x=300

The car travels 4 feet in 1 second, 16 feet in 4 seconds, 24 feet in 6 seconds, 32 feet in 8 seconds.

Distance is a measure of the amount of space between two objects or points. It is the length of the shortest path between the two points, and it is typically measured in units such as meters, kilometers, miles, or feet.

In mathematics, distance is often calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

The car travels 4 feet in 1 second, which is equivalent to a rate of 4 feet per second.

The car also travels 16 feet in 4 seconds, which is also equivalent to a rate of 4 feet per second.

Similarly, the car travels 24 feet in 6 seconds, 32 feet in 8 seconds, and so on, all at a constant rate of 4 feet per second.

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Answer: The total height of the SUV and the box is 9 feet 1 inch.

Step-by-step explanation:

To solve this problem, we first convert the height of the SUV and the box from feet and inches to inches. The height of the SUV is 6 feet 4 inches, which is equal to 76 inches. The height of the box is 2 feet 9 inches, which is equal to 33 inches. We then add the heights of the SUV and the box to get the total height:

76 inches + 33 inches = 109 inches

To convert this back to feet and inches, we divide by 12 to get 9, with a remainder of 1. Therefore, the total height of the SUV and the box is 9 feet 1 inch.

[tex]\huge\begin{array}{ccc}a_1=-2\\a_2=1\\a_3=6\\a_{10}=97\end{array}[/tex]

[tex]a_n=n^2-3[/tex]

Find the first 3 terms and the 10th term.

Substitute

n = 1, n = 2, n = 3 and n = 10:

[tex]a_1=1^2-3=1-2=-2\\\\a_2=2^2-3=4-3=1\\\\a_3=3^2-3=9-3=6\\\\a_{10}=10^2-3=100-3=97[/tex]

55.5% is equivalent to 5/9.

percentage, a relative value indicating hundredth parts of any quantity.

A baseball team won of its games of  5/9 this season.

We need to find the equivalent percentage of 5/9.

To convert 5/9 to a percentage, we can multiply it by 100.

(5/9) x 100 = 55.5%

So, the percentage equivalent to 5/9 is 55.5%.

Therefore, 55.5% is equivalent to 5/9.

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The width of a rectangle is 2 ft less than 4 times the length, so the model for the width W in terms of the length L is W = 4L - 2.

To solve this problem, we need to create a model for the width W in terms of the length L. According to the problem, the width of the rectangle is 2 ft less than 4 times the length. This can be written as:
W = 4L - 2

This equation represents the relationship between the width and the length of the rectangle. It shows that the width is equal to 4 times the length, minus 2. Therefore, the correct answer is a. W=4L - 2.

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Answer:

To simplify this expression, we first need to evaluate the expression inside the parentheses:

10 - 9 + 6 = 7

Now we can substitute this value back into the original expression:

10 + 28 ÷ 7 (7) = 10 + 4(7) (since 28 ÷ 7 = 4)

= 10 + 28

= 38

Therefore, 10 + 28 divided by 7 (10-9+6) equals 38.

Answer:

Ans = (1.50 x 29 movies) + 16

Step-by-step explanation:

y represents total costs

x represents how many movie he rents

$1.50 is the rent of each movie

$16 is the fixed fee

thus

y = 1.50 x + 16

Ans = (1.50 x 29 movies) + 16

1). 1/4

2). 11/15x

3). 3x/7

1. To add or subtract the rational expressions 5/8 and 3/8x, we need a common denominator. The smallest common denominator is 8x, so we can rewrite each expression with a denominator of 8x:

5/8 = 5x/8x

3/8x = 3/8 * 1/x = 3x/8x

Now we can combine the numerators and simplify:

5x/8x - 3x/8x = (5x - 3x)/8x = 2x/8x = 1/4

Therefore, 5/8 - 3/8x = 1/4.

2. To add or subtract the rational expressions 9/15x and 2/15x, we again need a common denominator. The smallest common denominator is 15x, so we can rewrite each expression with a denominator of 15x:

9/15x = 3/5x

2/15x = 2/15 * 1/x = 2/15x

Now we can combine the numerators and simplify:

3/5x + 2/15x = (9 + 2)/15x = 11/15x

Therefore, 9/15x + 2/15x = 11/15x.

3. To add or subtract the rational expressions 5x/7 and -2x/7, we already have a common denominator of 7. We can simply combine the numerators:

5x/7 - 2x/7 = (5x - 2x)/7 = 3x/7

Therefore, 5x/7 - 2x/7 = 3x/7.

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The equivalent expression is option D)  [tex]81/m^7.[/tex]

What is the equivalent expression?

In mathematics, an equivalent expression is one that has the same value or meaning as another expression, even though it may look different. In other words, two expressions are equivalent if they simplify to the same value or form.

To simplify the expression [tex](3m^{(-4)})^3 * (3m^5)[/tex], we need to apply the power of a power property of exponents, which states that [tex](a^b)^c = a^(b*c)[/tex].

Using this property, we can rewrite [tex](3m^{(-4)})^3[/tex] as [tex]3^3[/tex] * [tex](m^{(-4)})^3 = 27 * m^{(-12)[/tex]. Similarly, we can rewrite (3m⁵) as 3 * m⁵.

Substituting these values back into the original expression, we get:

[tex](3m^{(-4)})^3 * (3m^5) = 27 * m^{(-12)} * 3 * m^5[/tex]

[tex]= 81 * m^{(-12+5)[/tex]

[tex]= 81 * m^{(-7)[/tex]

Therefore, the equivalent expression is option D) [tex]81/m^7.[/tex]

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The area οf the shaded regiοn will be (area οf bigger rectangle - area οf white rectangle) 5x²+7x-26.

A rectangle is a type οf quadrilateral, which is a fοur-sided pοlygοn. A rectangle has the fοllοwing prοperties:

It has fοur straight sides, which are perpendicular tο each οther (at right angles).

It has fοur right angles (90-degree angles).

Its οppοsite sides are equal in length and parallel tο each οther.

Its diagοnals are equal in length and bisect each οther.

Nοw,

Area οf shaded regiοn= area οf bigger rectangle - area οf white rectangle.

As Area οf rectangle= length × Breadth

then

Area of shaded region [tex]= (3x-4)(2x+2)-(x-3)(x-6)[/tex]

[tex]=6x^2+6x-8x-8 -x^2+6x+3x-18\\=5x^2+7x-26[/tex]

hence,

         The area οf the shaded regiοn will be 5x²+7x-26.

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The simplified functions of f(g(x)) and g(f(x)) are: f(g(x))=x3 and g(f(x))=x3−6x2+12x−6

To find the function f(g(x)), we need to substitute g(x) into f(x). This means we will replace the x in f(x) with the expression for g(x):

f(g(x))=f(x3+2)=(x3+2)−2

Simplifying this expression gives us:

f(g(x))=x3

Similarly, to find the function g(f(x)), we need to substitute f(x) into g(x):

g(f(x))=g(x−2)=(x−2)3+2

Simplifying this expression gives us:

g(f(x))=x3−6x2+12x−6

Therefore, the functions f(g(x)) and g(f(x)) are:

f(g(x))=x3

g(f(x))=x3−6x2+12x−6

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Diameter of flu virus particle is 8.1 × 10⁻⁸ meter

Scientific notation is a way of representing numbers that are too large or too small to be easily written in decimal form because they require very long strings of digits to  be written. This is sometimes called scientific or standard exponential format, or British standard format.

Given,

Diameter of water molecule = 2.7 × 10⁻¹⁰ meters

Flu virus particle is 300 times bigger than water molecule

Diameter of flu virus

= 300 × 2.7 × 10⁻¹⁰

= 810 × 10⁻¹⁰

= 8.1 × 10⁻⁸ meter

Hence, 8.1 × 10⁻⁸ meter is the diameter of the Flue virus particle.

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The value of the digit 4 in 5,040 is 100 times more than that of the digit 4 in 4,670.

At the unit place of both numerals, there is a digit 4. The place value of a digit determines how valuable it is in a number. The position of the digit from the number's rightmost side determines its place value.

The value of the digit 4 in the tens place of the number 4,670 is 4 x 10 = 40.

The value of the digit 4 in the thousands position of the number 5,040 is 4 x 1000, or 4000.

Therefore, As 4000/40 = 100, the value of the digit 4 in 5,040 is 100 times more than that of the digit 4 in 4,670.

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The building's depression angle relative to the plane is found as  24.49°.

According to an aerial photographer who specializes in taking pictures of real estate properties.

The ideal shot should be taken at a height of around 406 feet and a distance of 891 feet from the structure.

Height h = 406 ft

Distance d =891 ft

The building's depression angle relative to the plane:

tan Ф = Height / Distance

tan Ф = 406 / 891

tan Ф = 0.455

Ф = 24.49°

Thus, the building's depression angle relative to the plane is found as  24.49°.

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The table with order pairs (-3,2), (0, 2), (3, 7),(5, 8) (6, 8) represents the function.

A relation is a function if it has only One y-value for each x-value.

In the given tables the third table represents the function.

The left bottom table is the third table.

As we observe the other tables there are repeating values of x.

In a function, for every y value there should be one unique x value.

(-3,2), (0, 2), (3, 7),(5, 8) (6, 8) represents the function.

Hence, the table with order pairs (-3,2), (0, 2), (3, 7),(5, 8) (6, 8) represents the function.

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In a linear equation, There is one more test this quarter 39.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                    Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

lowest average score = 80% * 50  = 40

 suppose the final exam score she must get at least x.

   ( x + 45 + 38 + 36) = 4 ≥ 40

                                x ≥ 39

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Therefore, the predicted population of Alaska in 2040 is approximately 1,038,428.

Given by the question.

P₀ = 410,851

P = 739,818

t = 2017 - 1980 = 37

r = ln (739818/410851) / 37

r ≈ 0.0136

Therefore, the equation that models the population of Alaska t years after 1980 is:

P(t) = 410,851 * [tex]e^{(0.0136*t)}[/tex]

To predict the population of Alaska in 2040, we need to find the value of P (60), since 2040 is 60 years after 1980:

P (60) = 410,851 * [tex]e^{(0.0136*60)}[/tex]

P (60) ≈ 1,038,428

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yes

im not sure though try it!

Answer:

f(-4) = 15

Step-by-step explanation:

A function is notated as f(x), because the x is the value you are putting in. For example. In f(x) = x + 5, the value you are putting in is x, and the output would be x + 5.

So in this case, we have f(x) = -7x-13. We are to figure out f(-4), so we can simply put in -4 as the x-value;

-7(-4) - 13

28 - 13

15

And so the value of f(-4) = 15

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Answer:

9

Step-by-step explanation:

f times 9 = 7x - 13 = 9 pls make me brianlist