Which of these graphs represents a function?

Answer:

64

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

At x=(-27+√759)/40, f(x) is minimum

At x=(-27-√759)/40, f(x) is maximum , for the given function f(x)=8x⁵+27x⁴-2x³-0x₂+0+6

A relative maximum point occurs when the function's direction switches from increasing to decreasing (making that point a "peak" in the graph). A relative minimum point, on the other hand, is a point at which the function switches from decreasing to growing (making that point a "bottom" in the graph).

If f'(k) = 0, and f"(k) = 0, then x = k is a point of relative maxima. The point at x= k is known as the relative maxima, and f(k) is known as the maximum value of f. If f'(k) = 0, and f"(k) >0, then x = k is a point of relative minima. The point at x = k is known as the relative minima, and f(k) is known as the minimum value of f.

Given,

f(x)=8x⁵+27x⁴-2x³-0x₂+0+6

f(x)=8x⁵+27x⁴-2x³+6

f'(x)=40x⁴+108x³-6x²=0

20x²+54x-3=0

x= (-54±√54²-2(20)(-3))/4(20)

x=(-54±√3036)/4(20)

x= (-54± 2√759)/4(20)

x= (-27±√759)/40

f"(x)=40x+54

f"((-27±√759)/40)=40((-27±√759)/40)+54

= -27+√759+54

=  27+√754≥0

∴ At x=(-27+√759)/40, f(x) is minimum.

At x=(-27-√759)/40

f"(x)=40x+54

=40((-27-√759)/40)+54

=-27-√754+54

=27-√754≤0

∴ At x=(-27-√759)/40, f(x) is maximum.

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Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

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5/6 - 1/9=?/? - ?/? = ?/? , value of each (?/?) is

5/6 -1/9 =15 /18 -2/18 =13 /18.

As given,

5/ 6 - 1/9 =?/? -?/? =?/?

Convert the given terms into like terms

Least common multiple of (6,9)=18

Value of each ( ?/?)

(5/6 ) × ( 3/3) -(1/9) × (2/2)

= 15 /18 - 2/18

= 13 /18

Therefore,5/6 - 1/9 = ?/? - ?/? = ?/? , value of each (?/?) is equal to

5/6 -1/9 = 15 /18 -2/18 = 13/18.

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Answer:$16.25

Step-by-step explanation:You subtract 25-12 and get 13 then you multiply 125 to that 13 and get $16.25

Answer:

the better hitter is Kit is the better hitter

Step-by-step explanation:

9/21 is the greatest so hope that helps.

Answer:

Step-by-step explanation:

663.98

Answer: 663.98

Step-by-step explanation:

(8.42*109)=917.78

(2.35*108)=253.8

917.78-253.8=663.98

The area under the normal probability density function (p.d.f.) within 1.96 standard deviations of the mean on both sides is approximately 0.95.

In a normal distribution, the area under the p.d.f. curve represents probabilities. The area between the mean and 1.96 standard deviations to the left or right represents approximately 95% of the data. Since the normal distribution is symmetrical, we can split this area equally on both sides, resulting in approximately 0.475 (or 47.5%) on each side.

To calculate the total area, we add up the areas on both sides: 0.475 + 0.475 = 0.95. This means that 95% of the data falls within the range of 1.96 standard deviations from the mean. Consequently, the remaining 5% is distributed outside this range (2.5% to the left and 2.5% to the right). Therefore, the correct answer is A. 0.05, which corresponds to the area outside the range of 1.96 standard deviations from the mean.

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The statement "They are called from an instance of the class." is not true about static methods.

Static methods are class-level methods that can be accessed without creating an instance of the class. They are associated with the class itself rather than specific instances of the class.

This means that static methods can be called directly using the class name, without the need to create an object or instance of the class.

For example, if we have a class called "MathUtils" with a static method called "multiply", we can call the method as:

MathUtils.multiply(5, 10);

We don't need to create an instance of the MathUtils class before calling the multiply method.

Static methods are defined by placing the keyword "static" after the access specifier (e.g., public, private) in the method header. This keyword indicates that the method belongs to the class and can be accessed without creating an instance.

In summary, static methods are not associated with instances of the class and can be accessed directly through the class name. They are not called from an instance of the class.

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The statement about using the line of best fit for the given scatter plot is; False

When we have a scatter plot, it is always best to look for the line of best fit or curve of best fit depending on the nature of the variation of the plotted points.

Now, from the scatter plot image attached, we can see that the points are already looking like a curved plot form and so what we will need her will be a curve of best fit and not a line of best fit plot and as such the statement about using a line of best fit plot is false.

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Answer:

He rented 82 games

Step-by-step explanation:

296=3x+50

246=3x

x=82

Answer:

spent on game rented

= $296 - $50

= $246

games rented

= $246 ÷ $3

= 82

The slope of the line is zero because the line is parallel to the x-axis.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is zero because the line is parallel to the x-axis. Then the equation is given as,

y = - 2

The slope of the line is zero because the line is parallel to the x-axis.

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The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Step-by-step explanation:

Formula 1: V = lwh

V = 10 x 8 x 6

V = 480

Formula 2: V = 2lw + 2lh + 2wh

V = 2(10 x 8) + 2(10 x 6) + 2(8 x 6)

V = 480

Ans: 52 cm²

Ok done. Thank to me >:333

Answer:

hope it helps

Step-by-step explanation:

ans = -4

Answer:

4

Step-by-step explanation:

Let A be the point wich coordinates are (2, -4)

-4 is the ordinate (y)

To find the distance from the x axis use the absolute value.

D (the distance) = | -4| = 4

The distance from the x-axis is 4

Answer

\( {f}^{ - 1} (x) = \frac{5}{2} x - 5.\)

Step by step

\(y = \frac{2x}{5} + 2\)

Swap roles of x and y

\(x = \frac{2}{5} y + 2\)

Then

\(5x = 2y + 10\)

So

\(2y = 5x - 10\)

Hence

\(y = \frac{5}{2} x - 5\)

Therefore

\( {f}^{ - 1} (x) = \frac{5}{2} x - 5.\)

When a person walking \( \frac{1}{5}\) mile in \( \frac{1}{15}\) hour, then the speed ( distance travelled per unit time) of person is equals to the 3 miles per hour.

The speed is defined as the rate at which a particular object covers a certain amount of distance. This speed can be fast or slow. That is simply defined as the rate of change in distance per unit of time. It is defined as Speed=\(\frac{d}{t }\)

We have a person who is walks along the road. The distance travelled by person =

\( \frac{1}{5}\) mile

Time taken by him to travel the distance 1/5 mile \(= \frac{ 1}{15}\) hours.

We have to determine the persons speed per hour. Using the speed formula, now the speed of person, \(s = \frac{ \frac{ 1}{5} }{\frac{1}{15} }\)

= 3 miles/hour

Hence, required value of speed is 3 miles per hour.

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Answer:

C: She subtracted 15 from each side of the equation.

Step-by-step explanation:

30 = 15 - 3x

-15

   15 = -3x

The math operation Amanda did to apply in her first step is She subtracted 15 from each side of the equation, the correct option is C.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that;

Equation is 30 = 15 - 3x

Now,

We can  check this by adding 15 to both sides of her first step and see that you get back the original equation.

15 = -3x 15 + 15 = -3x + 15 30 = 15 - 3x

Therefore, by the given equation answer will be  She subtracted 15 from each side of the equation.

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13) The scientific notation is        1.4354125 * 10⁸. 14) The scientific notation is        1.4354125 * 10⁻¹. 15) The scientific notation is 22366.0992. 16) The scientific notation is 1.55 * 10¹⁰.

Let's solve the given expressions and write the answers in scientific notation:

13) \((6.125*10^3) * (2.345*10^4)\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^4) = 14.354125 * 10^(3 + 4) = 14.354125 * 10^7 = 1.4354125 * 10^8\)

\(= 1.4354125 * 10^8\)

14) \((6.1258*10^3) * (2.345*10^{-4})\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^{-4}) = 14.354125 * 10^{3 - 4} = 14.354125 * 10^{-1} = 1.43541258* 10^{-1}\)

\(= 1.4354125 * 10^{-1}\)

15) \(3700.13 * (6.04*10^4)\)

To multiply a decimal number and a number in scientific notation, we simply multiply the decimal by the coefficient of the scientific notation:

3700.13 × 6.04 = 22366.0992

Since the answer does not need to be expressed in scientific notation, the result is 22366.0992.

= 22366.0992

16) \((6.2*10^4) / (0.4*10^{-5})\)

To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:

\((6.2 / 0.4) * (10^4 / 10^{-5}) \\= 15.5 * 10^{4 - (-5}) \\= 15.5 * 10^9 \\= 1.55 * 10^{10}\\= 1.55 * 10^{10}\)

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The indefinite integral of the given function is ln|10ax + bx¹⁰| + C, where C is the constant of integration.

The indefinite integral, also known as the antiderivative, is the reverse process of differentiation.

When we integrate a function, we obtain a family of functions, each of which differs by a constant known as the constant of integration (C).

In this problem, we are asked to evaluate the indefinite integral of the function (a+bx⁹)/(10ax+bx¹⁰) with respect to x. To begin, we can use the substitution method to simplify the integral. Let u = 10ax + bx¹⁰, then du/dx = 10a + 10bx⁹, and dx = du/(10a + 10bx⁹).

Substituting these values, we get:

∫(a+bx⁹)/(10ax+bx¹⁰) dx = ∫(a+bx⁹)/(u) * (du/(10a + 10bx⁹))

Simplifying this expression, we get:

∫(1/u)du = ln|u| + C

Substituting back the value of u, we get:

ln|10ax + bx¹⁰| + C

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Complete Question:

Evaluate the indefinite integral. (Use C for the constant of integration.)  

∫a+bx⁹ / 10ax+bx¹⁰ dx

If the functions f and g are inverses of each other, then g(f(x)) = x and f(g(x)) = x

If f and g are inverses of each other, then g(f(x)) = x and f(g(x)) = x for all values of x in the domain of the functions.

The reason for this is that the composition of a function with its inverse is equal to the identity function.

To see why, consider g(f(x)). Since f and g are inverses of each other, g(f(x)) is equivalent to g(f(g(y))) for some y in the domain of g.

But since g is the inverse of f, f(g(y)) is equal to y for all y in the domain of g.

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A ternary string is a string composed of characters 0, 1, and 2. The number of ternary strings that contain exactly n characters, each of which is one of three types, is 3^n.Exactly 5 0s, 5 1s, and 5 2s are required for the ternary string, which means that the total number of characters is 15.

Each of these characters can be one of three types (0, 1, or 2). As a result, the total number of possible strings is 3^15. This is equivalent to 14,348,907. We arrived at this conclusion by computing 3 to the fifteenth power.Explanation:When constructing a sequence of three symbols, the first symbol has three alternatives, the second symbol has three alternatives, and so on. There are n choices for each of the n characters, resulting in a total of 3^n possible sequences.Example 1:Let's assume we have to create 5-character sequences with three symbols: a, b, and c. There are 3*3*3*3*3 = 243 possible sequences since there are three choices for each symbol.Example 2:Let's assume we have to construct a 10-character sequence using three symbols: 0, 1, and 2. There are 3*3*3*3*3*3*3*3*3*3 = 59,049, a total of 59,049 possible 10-character sequences. We can perform the same calculation for 15-character strings using the same logic.

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1. pipes

2.cold drink cans

3.water tanks

4.candle

Answer:

both points are solutions to the equation

Step-by-step explanation:

to determine whether a point is a solution to an equation, you insert the (x,y) coordinate into the equation and see if the equation is true

1. (0,1/2)

2y - x = 1

2(1/2) - 0 = 1

1 - 0 = 1

1 = 1

true

2. (-7,-3)

2y - x = 1

2(-3) - (-7) = 1

-6 + 7 = 1

1 = 1

true

Answer:

8

Step-by-step explanation:

\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)

Answer:

.7

Step-by-step explanation:

The ratio of the volume of the Sun to the volume of the Earth can be calculated using the formula for the volume of a sphere, V = (4/3)πr³, where r is the radius of the sphere.

Since we know that the diameter of the Sun is about 100 times the diameter of the Earth, we can say that the radius of the Sun is 50 times the radius of the Earth.

Therefore, the ratio of the volumes of the Sun and the Earth can be expressed as follows:

V (Sun) = (4/3)π(50r)³V (Earth)

            = (4/3)πr³V (Sun) / V (Earth)

            = [(4/3)π(50r)³] / [(4/3)πr³]V (Sun) / V (Earth)

            = (50³r³) / r³V (Sun) / V (Earth)

            = 50³V (Sun) / V (Earth)

            = 125,000,000

So, the best approximation for the ratio of the volume of the Sun to the volume of the Earth is 10⁸ (which is answer choice D).

Therefore, option (D) is the correct option.

Note: A helpful tip to remember this formula is to divide the volume of a sphere by π/6, which will give you the formula for the surface area of a sphere.

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