The Ferris wheel at the State Fair of Texas is 450 feet across the center. How many feet would a person travel if they rode around the ferris wheel 6 times? PLEASE give a explanation

Answer:

(7, 3.5)

Step-by-step explanation:

find the distances between the x and y

9 and 5 are 4 apart, and 2 and 5 are 3 apart

divide those distances by 2

4/2 = 2, 3/2 = 1.5

add those distances to the smaller of the x and y

5 + 2 = 7, 2 + 1.5 = 3.5

those two numbers are the midpoint (7,  3.5)

Answer:

Tip of $1.60

The total is $9.60

Step-by-step explanation:

(20% × $8) + $8

$1.60 + $8

$9.60

Answer:

C. g has been shifted down five units and to the left two units from f

Step-by-step explanation:

Sana makatulong

From the above, it can be seen that the nature of polynomial functions is dependent on its degree. Higher the degree of any polynomial function, then higher is its growth. A function which grows faster than a polynomial function is y = f(x) = ax, where a>1. Thus, for any of the positive integers n the function f (x) is said to grow faster than that of fn(x).

Thus, the exponential function having base greater than 1, i.e., a > 1 is defined as y = f(x) = ax. The domain of exponential function will be the set of entire real numbers R and the range are said to be the set of all the positive real numbers.

It must be noted that exponential function is increasing and the point (0, 1) always lies on the graph of an exponential function. Also, it is very close to zero if the value of x is mostly negative.

Exponential function having base 10 is known as a common exponential function. Consider the following series:

Derivative of logarithmic and exponential function 5

The value of this series lies between 2 & 3. It is represented by e. Keeping e as base the function, we get y = ex, which is a very important function in mathematics known as a natural exponential function.

For a > 1, the logarithm of b to base a is x if ax = b. Thus, loga b = x if ax = b. This function is known as logarithmic function.

Derivative of logarithmic and exponential function 2

For base a = 10, this function is known as common logarithm and for the base a = e, it is known as natural logarithm denoted by ln x. Following are some of the important observations regarding logarithmic functions which have a base a>1.

   The domain of log function consists of positive real numbers only, as we cannot interpret the meaning of log functions for negative values.

   For the log function, though the domain is only the set of positive real numbers, the range is set of all real values, i.e. R

   When we plot the graph of log functions and move from left to right, the functions show increasing behaviour.

   The graph of log function never cuts x-axis or y-axis, though it seems to tend towards them.

Derivative of logarithmic and exponential function 3

   Logap = α, logbp = β and logba = µ, then aα = p, bβ = p and bµ = a

   Logbpq = Logbp + Logbq

   Logbpy = ylogbp

   Logb (p/q) = logbp – logbq

Exponential Function Derivative

Let us now focus on the derivative of exponential functions.

The derivative of ex with respect to x is ex, i.e. d(ex)/dx = ex

It is noted that the exponential function f(x) =ex  has a special property. It means that the derivative of the function is the function itself.

(i.e) f ‘(x) = ex = f(x)

Exponential Series

Exponential Functions

Exponential Function Properties

The exponential graph of a function represents the exponential function properties.

Let us consider the exponential function, y=2x

The graph of function y=2x is shown below. First, the property of the exponential function graph when the base is greater than 1.

Exponential Functions

Exponential Function Graph for y=2x

The graph passes through the point (0,1).

   The domain is all real numbers

   The range is y>0

   The graph is increasing

   The graph is asymptotic to the x-axis as x approaches negative infinity

   The graph increases without bound as x approaches positive infinity

   The graph is continuous

   The graph is smooth

Exponential Functions

Exponential Function Graph y=2-x

The graph of function y=2-x is shown above. The properties of the exponential function and its graph when the base is between 0 and 1 are given.

   The line passes through the point (0,1)

   The domain includes all real numbers

   The range is of y>0

   It forms a decreasing graph

   The line in the graph above is asymptotic to the x-axis as x approaches positive infinity

   The line increases without bound as x approaches negative infinity

   It is a continuous graph

   It forms a smooth graph

Exponential Function Rules

Some important exponential rules are given below:

If a>0, and  b>0, the following hold true for all the real numbers x and y:

       ax ay = ax+y

       ax/ay = ax-y

       (ax)y = axy

       axbx=(ab)x

       (a/b)x= ax/bx

       a0=1

       a-x= 1/ ax

Exponential Functions Examples

The examples of exponential functions are:

   f(x) = 2x

   f(x) = 1/ 2x = 2-x

   f(x) = 2x+3

   f(x) = 0.5x

Solved problem

Question:

Simplify the exponential equation 2x-2x+1

Solution:

Given exponential equation: 2x-2x+1

By using the property: ax ay = ax+y

Hence, 2x+1 can be written as 2x. 2

Thus the given equation is written as:

2x-2x+1 =2x-2x. 2

Now, factor out the term 2x

2x-2x+1 =2x-2x. 2 = 2x(1-2)

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

2x-2x+1 = – 2x

Answer:

p = 132 - 30d

Step-by-step explanation:

Here, we can plug in x = 6 into the equation provided at the end of the problem.

p = 6[25 - (3 +5d)]

p = 150 - 18 - 30d

p = 132 - 30d

Answer:

19 units²

Step-by-step explanation:

Divide into three shapes:

Large rectangle BEFA

Large triangle - BCE

Small triangle - CDE -

BEFA = 4x3 = 12

BCE = 1/2x4x2 = 4

CDE = 1/2x3x2 = 3

12+4+3=19

Answer:

x = -6

Step-by-step explanation:

Answer:

Step-by-step explanation:

18:12*3=4,5

5000*4,5:100=225

5000+225=5225

Answer:

a) y-2=1/2(x-6) b) The y-intercept of this line is -1.

Step-by-step explanation:

y-y1=m(x-x1)

y-2=1/2(x-6)

------------------

y=1/2x-6/2+2

y=1/2x-3+2

y=1/2x-1

y=mx+b where m=slope and b=y-intercept.

Answer:

D

Step-by-step explanation:

Its d because if she feeds her dog 1/8 every day  for 3 days 3 times 8 is 24. I'm not very good at explaining things but its 24 days

Answer:

[tex](13x + 2) + (7x - 10) \\ = 13x + 2 + 7x - 10 \\ = 13x + 7x + 2 - 10 \\ = 20x - 8[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

It should be 20x-8

Step-by-step explanation:

(13x+7x)(2-10)

add like terms and get..

20x-8

Answer:

y=a+be^(-1/4t)

Step-by-step explanation:

We can solve the characteristic equation, 4r^2+r=0 to help.

Factor:

r(4r+1)=0

This implies r=0 or 4r+1=0.

The second equation can be solved by subtracting 1 on both sides and then dividing boths sides by 4 like so:

4r+1=0

4r+1-1=0-1

4r=-1

4r/4=-1/4

r=-1/4

So r=0 and r=-1/4 which means the general solution is y=ae^(0t)+be^(-1/4t)

Simplifying gives y=a+be^(-1/4t) since e^0=1.

Let's check our solution.

y=a+be^(-1/4t)

y'=0+-1/4be^(-1/4t)

y''=0+1/16be^(-1/4t)

Plug in:

4y''+y'=0

4*1/16be^(-1/4t)+-1/4be^(-1/4t)=0

1/4be^(-1/4t)+-1/4be^(-1/4t)=0

0=0 is a true equation so the solution has been verified.

Answer: ( 60 ) , or ( -4)

Step-by-step explanation:

Answer:

√3/3

Step-by-step explanation:

tan=sin/cos=1/2/sqrt(3)/2=1/sqrt(3)

hope it helps

have a great day

Answer:

12^4/5

Step-by-step explanation:

When doing this you put the number the base is raised to on top of the fraction and the root number on the bottom

Answer:

[tex]y = 3x - 6[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (4,6)[/tex]

[tex](x_2,y_2) = (3,3)[/tex]

Required

Equation in slope intercept

First, calculate the slope.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3-6}{3-4}[/tex]

[tex]m = \frac{-3}{-1}[/tex]

[tex]m = 3[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 3(x - 4) +6[/tex]

[tex]y = 3x - 12+6[/tex]

[tex]y = 3x - 6[/tex]

Answer:

2.0943951 radians

Step-by-step explanation:

Answer:

-3,2

Step-by-step explanation:

B

Answer:

B

Step-by-step explanation:

The x coordinate always goes first, and then the y coordinate comes next. An easy way to remember is "walk before you fly." In this case, the x coordinate is -3, and the y coordinate is 2. So: (-3,2)

Answer:

A 45/28

Step-by-step explanation: because a tangnt  means a a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.  so 45 and 28 are on it so it has to be A

Step-by-step explanation:

y-2=2(x-0)^2

Vertex: (0,2)

Axis of Symmetry is x=0

Opens upward

Hope that helps :)

Answer:

All residents of the community

Step-by-step explanation:

Not sure if this is fully correct but the 2nd and 3rd option is wrong (Edg 2021)

The correct option is b. the 230 residents who were interviewed.

Given,

A community is considering raising funds to pay for improvements to the community swimming pool.  community leaders went door-to-door in a few neighborhoods and interviewed residents. Of the 230  residents contacted, 157 support raising funds to pay for improvements.

Now we have to find the sample in this setting.

A sample is the specific group that you will collect data from.

Here,  230  residents contacted, so the Sample is 230 residents.

Hence the correct option is b.the 230 residents who were interviewed.

For more details on Sample follow the link:

https://brainly.com/question/350477

Answer:

8:18:24

Step-by-step explanation:

2:4:6 = 12 parts

12 parts = 50 Marbles

1 part = 50/12 = 4 Marbles (approx)- Cannot be decimal

2 Parts = 2*4= 8

4 Parts= 4*4.5=18(approx)

6 Parts= 6*4 =24

[tex]4^{2}=3*a\\16=3a\\a=5\frac{1}{3}[/tex]

Answer:

Area of shape = 10.8 m²

Step-by-step explanation:

Given:

Length of rectangle 1 = 4000 mm = 4 m

Width of rectangle 1 = 1200 mm = 1.2 m

Length of rectangle 2 = [6200-1200] mm = 5 m

Width of rectangle 2 = 1200 mm = 1.2 m

Find:

Area of shape

Computation:

Area of shape = Area of rectangle 1 + Area of rectangle 2

Area of shape = [(4)(1.2)] + [(5)(1.2)]

Area of shape = 4.8 + 6

Area of shape = 10.8 m²

Answer:

1/8

Step-by-step explanation:

The fractional probability that the die lands on 4, 5 or 6 and the coin is tails is 1 / 4.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that a six-sided die is tossed and a coin is flipped. The die lands on 4, 5 or 6 and the coin are tails.

The probability of getting 4, 5, and 6 is,

P = 3 / 6

P = 1 / 2

The probability of getting tail,

P = 1 / 2

The probability that the die lands on 4, 5 or 6 and the coin is tails is,

Probability = ( 1 / 2 ) x 9 1 / 2 )

Probability = 1 / 4

Learn more about probability here:

brainly.com/question/16484393

#SPJ6

The statement that is true for the retangular doors and windows is the area of the door is 3.24 times the area of the window.

The perimeter of a rectangle is the sum of the whole side of the rectangle.

Therefore,

perimeter of a rectangle = 2l + 2w

where

Therefore, each dimension of the door is 1.8 times the dimension of the window.

Hence,

let

the width of the window = x

the length of the window = y

Therefore,

perimeter = 2(x+ y)

The perimeter of the doors will be as follows:

perimeter of the doors = 2(1.8(x) + 1.8(y))

perimeter of the doors = 3.6(x + y)

area = lw

Therefore,

area of window = xy

area of doors = 1.8x(1.8y)

area of doors =  3.24xy

learn more on rectangle here: https://brainly.com/question/16175684