I am working through data sets and exponential relations. I currently have to create a data set that contains such exponential relation.I chose f(x) = 2^(x+2) Thus my data set would be as follows:__x__ __y__ 0 4 1 8 2 16 3 32 4 64 5 128 6 256 7 512 8 1,024When I graph this, it looks different than the examples used, am I assigning the correct x and y values?

Answer:

approximately 10 times

Step-by-step explanation:

I hope this helps!

It is expected that a vowel will be spun approximately 10 times.

Spinner is divided into 6 equal sectors labeled with the alphabets A to F

We know that, the vowels in english are A, E, I, O, U.

In between A and , there are 2 vowels, A and E.

Probabilty of getting vowel in 1 spin = \(\frac{2}{6}\) = \(\frac{1}{3}\) = 0.33

The spinner is spun 30 times.

It is expected that a vowel will be spun =  0.33 × 30 times

                                                                 = 9.9 times = 10 times (approx)

Learn more about Spinner problem here :

https://brainly.com/question/27494042

#SPJ2

Answer:

True

Step-by-step explanation:

When dividing both sides by a negative number, you reverse the inequality sign.

Answer:

(A) True!

Step-by-step explanation:

Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative YOU MUST FLIP THE INEQUALITY SIGN.

ex:

x−15≤−2 Solve for x.

Answer:

3 of the cities surveyed had only a professional sports​ team.

Step-by-step explanation:

We solve this question treating these as Venn sets.

I am going to say that:

Set A: professional sports team.

Set B: Symphony.

Set C: Children's museum.

We start building from the intersection of these three.

6 had all three activities.

This means that \(A \cap B \cap C = 6\)

10 had a symphony and a​ children's museum,

This means that:

\((B \cap C) + (A \cap B \cap C) = 10\)

\((B \cap C) + 6 = 10\)

\((B \cap C) = 4\)

That is, 4 have only the symphony and children's museum, while 6 have all three.

10 had a professional sports team and a​ children's museum

\((A \cap C) + (A \cap B \cap C) = 10\)

\((A \cap C) + 6 = 10\)

\((A \cap C) = 4\)

14 had a professional sports team and a​ symphony

\((A \cap B) + (A \cap B \cap C) = 14\)

\((A \cap B) + 6 = 14\)

\((A \cap B) = 8\)

21 had a professional sports team

This means that:

\((A - B - C) + (A \cap B) + (A \cap C) + (A \cap B \cap C) = 21\)

In which (A - B - C) represents the cities which had only a sports team. So

\((A - B - C) + 8 + 4 + 6 = 21\)

\((A - B - C) = 3\)

3 of the cities surveyed had only a professional sports​ team.

The expression √36 - 2² is equivalent to the expression 2. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ √36 - 2²

Simplify the expression, then the value of the expression will be

⇒ √36 - 2²

⇒ 6 - 4

⇒ 2

The expression √36 - 2² is equivalent to the expression 2. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ1

Answer: The answer is 2

Step-by-step explanation:

Answer:

63 yd³

Step-by-step explanation:

V = lwh

V = 7 × 3 × 9

V = 189

Since the cubes are 1/3 yd³, you now multiply the volume of this figure which is if it were a 1 yd³.

189 × \(\frac{1}{3}\)

63 yd³

Answer:

discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

Step-by-step explanation:

Given that;

Range of the dataset = maximum value - minimum value = 74 - 16 = 58

total number of data set n = 50

Rule : \(2^{k}\) ≥ n

substitute value of n

\(2^{k}\) ≥ 50

k × log(2) = log( 50 )

k × 0.3010 = 1.69897

k = 1.69897 / 0.3010

k = 5.64

Hence, we have a total of 6 number of classes needed to be constructed.

so,

class width = 74 - 16 / 6 = 58 / 6 = 9.67

If the Data is discrete, the class boundaries are;

16 - 25

26 - 35

36 - 45

46 - 55

56 - 65

66 = 75

If the Data is continuous, the class boundaries are;

16 to less than 26

26 to less than 36

36 to less than 46

46 to less than 56

56 to less than 66

66 to less than 76

To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)

The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)

The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)

Solving for\(\(x\),\) we divide both sides of the equation by 3:

\(\(x = \frac{71}{3}\).\)

Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.

The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:

\(\(x = 2\pi r\).\)

Substituting the value of x we found earlier, we have:

\(\(\frac{71}{3} = 2\pi r\).\)

Solving for r, we divide both sides of the equation by \(\(2\pi\):\)

\(\(r = \frac{71}{6\pi}\).\)

Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.

In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.

For more such questions on triangle.

https://brainly.com/question/17335144

#SPJ8

Answer:

a = 2x

b = 3

Step-by-step explanation:

Consider the sum of cubes identity

a³ + b³ =(a + b)(a² -ab +b²)

for the polynomial 8x³ +27, we factorise

8x³ + 27

∛8 = 2

∛8 = x

∛27 = 3

Therefore, we can say that :

8x³ + 27 = (2x)³ + 3³

Using this: a³ + b³ =(a + b)(a² -ab +b²)

We can say that

a = 2x

b = 3

To confirm that: a = 2x and b = 3 we factorise 8x³ + 27

= (2x)³ + 3³

= (2x + 3)((2x)²− 2x × 3 + 3²)

= (2x + 3)(4x² - 6x + 9)

= 8x³ - 12x² +18x + 12x² - 18x + 27

= 8x³ + 27

Therefore, a = 2x and b = 3 is correct.

=

Using the conversion from the 24-hour system to the AM/PM system, the patient should take the medicine at 10 PM.

22 divided by 12 has remainder 10, hence 22 is equivalent to 10 PM.

More can be learned about the conversion from the 24-hour system to the AM/PM system at https://brainly.com/question/17477625

#SPJ1

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

For such more questions on translated

https://brainly.com/question/12861087

#SPJ8

The difference between depths in January and July is 14 feets

The depth of a local river averages 16 ft., which is represented as |−16|.

In January,  The depth of a local river measured 4 ft. deep, or |−4|

in July, The depth of a local river  18 ft., or |−18|

The average depth of a local river  is measured as -16 because it is below the ground level and hence measured or plotted on -y axis

the difference between depths in January and July can be measured as

|−18| -  |−4|

This is absolute sign which means every number inside this sign should be treated as positive

18 - 4 = 14

Hence, the difference between depths in January and July is 14 feets

To know more about Absolute sign -https://brainly.com/question/19538029

#SPJ1

Answer:

105 and 128

Step-by-step explanation:

The following percentages are listed below:

In this question we have seven cases of real life situations in which percentages are used. Mathematically speaking, percentages are represented by the following expression:

x = r / r' × 100       (1)

Where:

Now we proceed to determine quantities related to percentages:

2.8 mm as a per cent of 2.24 cm

x = (2.8 mm / 22.4 mm) × 100 %

x = 12.5 %

What per cent of 1.5 m is 60 cm?

x = (60 cm / 150 cm) × 100 %

x = 40 %

What per cent of 2 kg is 125 g?

x = (125 g / 2000 g) × 100

x = 6.25 %

What per cent of R 6 to 40 p?

x = (40 / 600) × 100

x = 6.667 %

What per cent of a day is 10 h?

x = (10 h / 24 h) × 100

x = 41.667 %

What per cent of 7 1 / 3 m in 5 1 / 2 m ?

x = [(11 / 2) / (22 / 3)] × 100 %

x = 75 %

To learn more on percentages: https://brainly.com/question/14979505

#SPJ1

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

More can be learned about angle measures at https://brainly.com/question/25716982

#SPJ1

The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

For similar question on cheapest price.

https://brainly.com/question/1153322  

#SPJ8

Answer: b(n)=10-4n for n >1

The function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.

"It is a number sequence with a common difference between successive terms."

For given example,

Given arithmetic sequence: 6, 2, -2, -6, . . .

Here, 2 - 6 = -4

-2 - 2 = -4

-6 - (-2) = -4

This means, the common difference is d = -4

If n is a positive integer, then the function a(n) = 10 - 4n (n > 0) generates given sequence.

For n = 1

⇒ a(1) = 10 - 4(1)

⇒ a(1) = 6

For n = 2,

⇒ a(2) = 10 - 4(2)

⇒ a(2) = 2

For n = 3,

⇒ a(3) = 10 - 4(3)

⇒ a(3) = -2

For n = 4,

⇒ a(4) = 10 - 4(4)

⇒ a(3) = -6

Therefore, the function a(n) = 10 – 4n for n > 0 generates the given arithmetic sequence.

Learn more about an arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

Answer:

-54 is a integer and rational number

Step-by-step explanation:

Answer:

C: maximum height=62.25 feet; time=3.85 seconds

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, y_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

\(y_{v} = -\frac{\Delta}{4a}\)

Where

\(\Delta = b^2-4ac\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(y_{v}\).

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

In this question:

The height of the ball, after t seconds, is given by the following equation:

\(h(t) = -16t^2 + 60t + 6\)

Which is a quadratic equation with \(a = -16, b = 60, c = 6\)

Maximum height:

Since a < 0, we can find the maximum value of the function. We have that:

\(\Delta = 60^{2} - 4(-16)(6) = 3984\)

\(y_{v} = -\frac{3984}{4(-16)} = 62.25\)

The maximum height is of 62.25 feet.

Seconds to reach the ground:

\(x_{1} = \frac{-60 + \sqrt{3984}}{2*(-16)} = -0.1\)

\(x_{2} = \frac{-60 - \sqrt{3984}}{2*(-16)} = 3.85\)

Since time is a positive measure, 3.85 seconds.

The correct answer is given by option C.

Answer:

two times x plus two

Step-by-step explanation:

The correct equivalent expression to the square root containing a variable is 2a³/5 and the correct option is E.

We shall simplify the expression of the square root containing a variable by carrying out basic mathematics operations to derive its equivalent as follows:

squre root of (36a⁸/255a²) = square root of (36a⁶ × a²/255 × a²)

a² is common and can be cancel out

square root of (36a⁸/255a²) = square root of (36a⁶/255)

square root of (36a⁸/255a²) = square of 36 multiplied by the square root of a⁶ all divided by the square root of 255 {take square root of each}

square root of (36a⁸/255a²) = 6a³/15

square root of (36a⁸/255a²) = 2a³ × 3/5 × 3

we divide through by the common factor 3

square root of (36a⁸/255a²) = 2a³/5

Therefore, the equivalent expression to square root of (36a⁸/255a²) is derived as 2a³/5 which is option E.

Know more about equivalent expression here: https://brainly.com/question/24734894

#SPJ1

8300 is the product of 8.31 and 1,000

Multiplication is a method of finding the product of two or more numbers

We need to find the product of 8.31 and 1,000.

product of Eight point three one and thousand.

In the given numbers 8.31 is a decimal number and 1000 is a whole number.

To multiply both let us make thousand as a whole number by placing two zeros on right side of 1000 with a point.

1000.00

 ×  8.31

_________

8310

Hence, 8300 is the product of 8.31 and 1,000

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2

Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Grouped/color-coded scatter plot: a scatter plot with a third categorical variable added, shown by color or shape, to visualize relationships between two numerical variables.

Scatter plots that include a categorical variable are known as a "Grouped Scatter Plot" or a "Color-Coded Scatter Plot". In these plots, the points on the scatter plot are color-coded or shaped according to a third categorical variable, allowing for an easy visualization of the relationship between two numerical variables while taking into account the categorical variable.

Grouped scatter plots can help to visualize patterns and trends in the data that might not be immediately apparent in a regular scatter plot. For example, you can use a scatter plot to compare the relationship between the two numerical variables for different categories. This can give insights into how the relationship between the variables changes across the different categories, and can help to identify any outliers or exceptions to the general trend.

In a color-coded scatter plot, the color of each point on the plot represents the value of the categorical variable. This can help to quickly identify patterns and trends in the data based on the color of the points, and can make it easier to see how the relationship between the two numerical variables varies across different categories.

Learn more about Scatter plots here:

https://brainly.com/question/16920148

#SPJ4

Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

Learn more about college degrees at: https://brainly.com/question/30008674

#SPJ1

Answer:

Step-by-step explanation:

Try and draw it on a grid and just rotate your book up to 180