the first ferris wheel was built in 1893 in chicago. It’s diameter was 250 feet. How many feet did the ferris wheel rotate with one complete turn?

Answers

Answer 1

Answer:

about 785.4

Step-by-step explanation:

The circumference of a circle is pi times the diameter:

C = πd

C = π·(250 ft) ≈ 785.4 ft

_____

Most scientific or graphing calculators have the value of π built in. If yours doesn't, a value good for at least 6 significant figures is the ratio 355/113.

Answer 2
Final answer:

The ferris wheel rotates approximately 785 feet in one complete turn. This was calculated using the circumference formula, 2πr, with the radius derived from the given diameter of 250 feet.

Explanation:

To solve this problem, we need to determine the circumference of the Ferris wheel as that would be equivalent to the distance the ferris wheel rotated in one complete turn. The formula to calculate the circumference of a circle (or ferris wheel in this case) is 2πr (2 times pi times the radius), where 'r' is the radius of the circle. However, since we're given the diameter of the Ferris wheel as 250 feet, we know that the radius 'r' would be half of the diameter. That would imply that the radius in this case is 250/2 = 125 feet. So, using the aforementioned formula, the circumference would therefore be 2 × π × 125, or approximately 785 feet. Therefore, with each complete turn, the Ferris wheel would rotate by about 785 feet.

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Related Questions

Help please on both please

Answers

On what I don’t see anything on here

What value would be placed in the space shown to create a perfect square trinomial?
x^2 - 3x +___
1) 3/2
2) 9/4
3) - 9/4
4) -3/2

Answers

Answer:

9/4 (Answer 2)

Step-by-step explanation:

Take half the coefficient of x and square that result:

(1/2)(-3) = -3/2

Squaring this, we get 9/4 (Answer 2)

To create a perfect square trinomial [tex]\frac{9}{4}[/tex] should be placed in the space shown in x^2 - 3x +___

How to form a trinomial equation?

The trinomial equation is of the form
[tex]x^{2}[/tex] - 2ax + [tex]a^{2}[/tex]

given equation is [tex]x^{2}[/tex] - 3x + _

comparing the two equation

2ax = 3x

a = [tex]\frac{3}{2}[/tex]

[tex]a^{2}[/tex] = [tex]\frac{9}{4}[/tex]

[tex]x^{2}[/tex] - 3x +  [tex]\frac{9}{4}[/tex]  =  [tex]( x- \frac{3}{2} )^{2}[/tex]

Therefore, option 2) 9/4 is the correct answer

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the sum of two numbers is 24. Twice the smaller number is 3 less than the larger number. What are the two numbers ?

Answers

Final answer:

To find the two numbers, we set up a system of equations and solve it to find the values of x and y.

Explanation:

To solve this problem, we can set up a system of equations. Let's represent the two numbers as x and y. Since the sum of the two numbers is 24, we can write the equation:



x + y = 24



Twice the smaller number, which is 2x, is 3 less than the larger number, so we can write the equation:



2x = y - 3



Now we can solve this system of equations using substitution or elimination method. Let's start with substitution method:




 From the first equation, we can rewrite it as y = 24 - x.
 Substitute this value of y into the second equation: 2x = (24 - x) - 3.
 Simplify the equation: 2x = 21 - x.
 Add x to both sides: 3x = 21.
 Divide both sides by 3: x = 7.
 Substitute this value of x back into the first equation to find y: y = 24 - 7 = 17.



Therefore, the two numbers are 7 and 17.

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the two numbers are 7 and 17.

The problem states that the sum of two numbers is 24 and that twice the smaller number is 3 less than the larger number. Let's denote the smaller number as 'x' and the larger number as 'y'. According to the first condition, we have:

x + y = 24 ... (1)

For the second condition, twice the smaller number (2x) is 3 less than the larger number (y), so we have:

2x = y - 3 ... (2)

To find the two numbers, we solve these equations simultaneously. By rearranging equation (2), we get y = 2x + 3. Substituting this into equation (1), we have:

x + (2x + 3) = 24

3x + 3 = 24

3x = 24 - 3

3x = 21

x = 7

Now that we have the smaller number, we substitute x back into equation (1) to find the larger number:

7 + y = 24

y = 24 - 7

y = 17

Thus, the two numbers are 7 and 17.

1. Victoria is opening a pet store. She will start by making custom dog collars. If the collar cost her $3 each, the embellishments $2, and $0.15 per bag, what is her unit cost per collar?

Answers

Answer:

$5.15

Step-by-step explanation:

A dog collar usually consists of a base(collar), the embellishments and the bag in which it is packed.

As we are given,

Collar Price = c = $3

Embellishment price = e = $2

and

Bag price = b =$0.15

The cost of one collar will be the cost of all these combined.

So,

Cost of collar = c+e+b

=3+2+0.15

=5.15

So the price of one collar is $5.15 ..

Answer:

5.15

Step-by-step explanation:

Please Help Quickly!!

A box contains red, blue, green, purple, and yellow crayons such that the probability of drawing a purple crayon is 3/7.

Answers

Answer:

Option C.

Step-by-step explanation:

It is given that a box contains red, blue, green, purple, and yellow crayons such that the probability of drawing a purple crayon is 3/7.

We draw two crayons randomly such that both draws are independent.

Let X be a random variable that assigns the number of purple crayons to each outcome.

We need to find the range of X.

If no purple crayon is selected, then X=0

If 1 purple crayon is selected, then X=1

If 2 purple crayons are selected, then X=2

The range of X is {0,1,2}.

Therefore, the correct option is C.

10 points which of the following describes the graph ? Help
Needed

Answers

ANSWER

First choice

EXPLANATION

The graph of f(x) and

[tex] {f}^{ - 1} (x)[/tex]

are symmetric about the line y=x.

This means that the graph of

[tex]{f}^{ - 1} (x)[/tex]

is the reflection of f(x) in the line y=x.

This explains why the composition of a function and its inverse yields x, as the result.

The first choice is correct.

Solve the equation x2 - 2x - 7= 0 by using
the quadratic formula.​

Answers

B is the correct choice

Final answer:

We used the quadratic formula (-b ± √(b² - 4ac) / 2a) to solve the quadratic equation x² - 2x - 7 = 0. We identified a, b, and c from the equation, plugged them into the formula, and solved for x to find the roots of the equation.

Explanation:

The subject of your question involves solving the equation

x2 - 2x - 7 = 0

using the

quadratic formula.

This is a task in Algebra, a branch of Mathematics. The quadratic formula is a tool for solving equations of the form

ax² + bx + c = 0

, also known as quadratic equations. If we apply the quadratic formula, which is -b ± √(b² - 4ac) / 2a, to solve for your equation, we start by identifying a = 1, b = -2, and c = -7 from your equation. Substituting these into the formula gives:

x = [2 ± √((-2)² - 4*1*(-7))] / 2*1

After simplifying the above, we will get the solutions for x which are the roots of the quadratic equation.

We used the quadratic formula to solve the algebraic equation x2 - 2x - 7 = 0.

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REALLY NEED THIS PLZZ ANSWER ESY I JUST DON'T KNOW PLZZZZZZZZZZZWhich quadratic rule represents the data in the table? 20PTS AND BRAINLIEST !!!!!!!!!!!!!!!

x –1 0 1 2 3
y –4 –5 –4 –1 4

A.)y = –2x² + 5
B.) = –x² + 5
C.) y = x² – 5
D.y = x² + 5

Answers

Answer:

It is answer C

Step-by-step explanation:

Answer:

C.) y = x^2 -5

Step-by-step explanation:

The table pair (x, y) = (0, -5) tells you that the constant will be -5. Only answer choice C has that value for the constant.

___

You can check other (x, y) values in the rule to see that they work.

what is the volume of a regular pyramid having a base area of 24 in.² and a height of 6 inches?

Answers

Answer:

48 in³

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

V = [tex]\frac{1}{3}[/tex] × area of base × height

here area of base = 24 and height = 6, so

V = [tex]\frac{1}{3}[/tex] × 24 × 6 = 8 × 6 = 48 in³

Please assist, thank you.

Answers

Answer:

392 ft²

Step-by-step explanation:

Break this area into two parts, that is, into two trapezoids.  The first trapezoid, on the left, has length 8 ft and average length (30 ft + 27 ft)/2, so its area is (8 ft)(28.5 ft) = 228 ft ².

The second trapezoid has width 8 ft and average length (19 + 22)/2 ft, or 8 ft by 20.5 ft).  The area of this part is 164 ft².

Thus, the total area is 164 ft² + 228 ft², or 392 ft²

(y 3 - 4y 2 + 7y - 6) divided by (y - 2)

Answers

Answer:

Quotient: y^2 -2y +3

Remainder = 0

Step-by-step explanation:

We need to solve he equation:

y^3-4y^2+7y-6 ÷ y -2

It is solved in the figure attached below:

After solving we get

Quotient: y^2 -2y +3

Remainder = 0

1. Halla la circunferencia de un círculo cuyo diámetro es 18 cm.​

Answers

Answer:

C ≈ 56.55

Step-by-step explanation:

First I translated this into English.

"Find the circumference of a circle whose diameter is 18 cm."

Formula:

C = 2πr

Translated in Spanish:

Primero tienes que dividir la circunferencia por dos. Luego lo enchufas en la fórmula para "R" y resuelves.

English Translation:

First you have to divide the circumference by two. Then you plug it into the formula for "R" and solve.


Write a polynomial function in factored form with zeros at −2, 5, and 6.

Answers

Answer:

f(x) = (x + 2)(x - 5)(x - 6)

Step-by-step explanation:

given the zeros of f(x) are x = a, x= b and x = c, then the factors are

(x - a), (x - b) and (x - c)

The function is then the product of the factors

f(x) = (x - a)(x - b)(x - c)

Here zeros are x = - 2, x = 5 and x = 6, thus the factors are

(x + 2), (x - 5) and (x - 6), so

f(x) = (x + 2)(x - 5)(x - 6) ← in factored form

Final answer:

To create a polynomial with zeros at -2, 5, and 6, the factored form is (x + 2)(x - 5)(x - 6).

Explanation:

To write a polynomial function in factored form with zeros at −2, 5, and 6, we start by creating factors based on these zeros. Each zero corresponds to a factor of the polynomial where the variable x is set equal to the zero value. Therefore, the factors would be (x + 2), (x - 5), and (x - 6). We then multiply these factors together to get the polynomial.

The factored form of the polynomial is then (x + 2)(x - 5)(x - 6). If you wanted to write this polynomial in standard form, you would expand the factors to get x³ - 9x² + 4x + 60.

12 _ (7 - 4) +5 _ 3 = 19

Answers

The first blank is "division" and the second blank is "multiplying"

12 / (3) = 4

5 x 3 = 15

15 + 4 = 19

Final answer:

The student's equation 12 _ (7 - 4) + 5 _ 3 = 19 is solved by inserting addition after 12 and subtraction after 5, resulting in 12 + (7 - 4) + 5 - 3. Following correct order of operations, we get the desired result of 19.

Explanation:

The student has presented a mathematical equation with missing operations that needs to be solved to equal 19. To find the correct operations, we can see that 12 with an addition operation followed by 5 minus 3 gives us 14. Adding this to the original 12 gives us the desired result of 19. Hence, the missing operations are addition after the 12 and subtraction after the 5.

The equation now looks like 12 + (7 - 4) + 5 - 3 = 19. Here, we first perform the operation inside the parentheses, which is 7 - 4 = 3. Then, we substitute this result into the expression and proceed with the operations: 12 + 3 + 5 - 3. Next, we add the numbers together, which gives us 12 + 3 + 5 = 20, and finally deduct 3 to get 20 - 3 = 19.

This kind of problem teaches us the significance of operation placement within equations, as seen in different examples provided. Understanding the properties of arithmetic operations and the correct application of the order of operations (parentheses, exponents, multiplication and division, addition and subtraction) is crucial for solving such mathematical puzzles.

HELP! ASAP! Five friends ate in a restaurant together and split the cost, c, equally. Each person paid less than $10. Which statements represent the scenario? Check all that apply.

A. The situation can be represented using the inequality c ÷ 5 < 10.

B. The total cost of the food could be $40. The maximum total cost of the food could be determined by dividing 10 by 5.

C. When graphed, the number line would be shaded to the left of the maximum value.

D. The total cost of the food could be $50.

Answers

Answer:

I know that A is correct

B the first part is correct, But the second part isnt.

C I dont know, not a good grapher

D would be correct if there was tax.

Step-by-step explanation:

Answer:A,B,D are correct!

Step-by-step explanation:

Find the radius of a sphere with a surface area of 1024π square inches

Answers

Answer:

R = 16 in

Step-by-step explanation:

The formula of a Surface Area of a sphere:

[tex]S.A.=4\pi R^2[/tex]

R - radius

We have

[tex]S.A.=1024\pi\ in^2[/tex]

Substitute:

[tex]4\pi R^2=1024\pi[/tex]               divide both sides by π

[tex]4R^2=1024[/tex]             divide both sides by 4

[tex]R^2=256\to R=\sqrt{256}\\\\R=16\ in[/tex]

To find the radius of a sphere when you are given the surface area, you can use the formula for the surface area of a sphere, which is:
\[ \text{Surface area of a sphere} = 4 \pi r^2 \]
where \( r \) is the radius of the sphere. Now, let's solve for \( r \) using the surface area provided:
We are given that the surface area is \( 1024 \pi \) square inches, so we set that equal to the formula for the surface area:
\[ 1024 \pi = 4 \pi r^2 \]
To solve for \( r^2 \), we first divide both sides of the equation by \( 4 \pi \):
\[ \frac{1024 \pi}{4 \pi} = \frac{4 \pi r^2}{4 \pi} \]
On simplifying the left-hand side and cancelling \( 4 \pi \) from the right-hand side, we get:
\[ 256 = r^2 \]
Now, to solve for \( r \), we take the square root of both sides:
\[ r = \sqrt{256} \]
This results in:
\[ r = 16 \]
So, the radius of the sphere is 16 inches.

can somebody help me..... Please

Answers

Answer:

[tex]\large\boxed{B.\ \dfrac{7}{8}}[/tex]

Step-by-step explanation:

[tex]\text{Put the values}\ x=\dfrac{15}{8}\ \text{and}\ y=-3\ \text{to the expression}\ \dfrac{3}{8}y^2-\dfrac{4}{3}x:\\\\\dfrac{3}{8}(-3)^2-\dfrac{4}{3\!\!\!\!\diagup_1}}\cdot\dfrac{15\!\!\!\!\!\diagup^5}{8}=\dfrac{(3)(9)}{8}-\dfrac{(4)(5)}{8}=\dfrac{27}{8}-\dfrac{20}{8}=\dfrac{27-20}{8}=\dfrac{7}{8}[/tex]

Please help ASAP my grade is so dependent on this and I need help I’m so lost

Answers

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\frac{x}{4}[/tex] > - 16 ( multiply both sides by 4 )

x > - 64

To show the solution on a number line

Place an open circle ( indicating x ≠ - 64 ) at - 64

greater than - 64 is to the right of - 64 , hence the direction of the shaded line points to the right of - 64

Tell me if you have troubles understanding something!

25 points. What is the value of x in the figure?

Answers

The inside angle next to the 70 degrees would be 180 - 70 = 110 degrees.

The measure of an outside angle is equal the the sum of the two opposite inside angles.

X is an exterior angle and it's 2 opposite inside angles are 40 and 110.

X = 40 + 110 = 150 degrees.

The answer is E.

Use the relation to answer the following questions. Graph the relation. State the domain of the relation. State the range of the relation. Is the relation a function? How do you know? Answer:

Answers

Answer:

All answers in the pic attached

Determine whether the two figures are similar if so give the similarity ratio of the smaller figure to the larger figure figures are not drawn to scale

Answers

[tex]\bf \cfrac{\textit{small prism}}{\textit{large prism}}\qquad \qquad \stackrel{~\hfill \textit{yes 1:4}}{\cfrac{18}{72}\implies \boxed{\cfrac{1}{4}}\qquad \cfrac{4}{16}\implies \boxed{\cfrac{1}{4}}\qquad \cfrac{3}{12}\implies \boxed{\cfrac{1}{4}}}[/tex]

The figures are same and the ratio of the adjacent sides of the small rectangular prism to big is 1:4 option first is correct.

What is a cuboid?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

As we can see in the figure two three-dimensional figures are given.

To know whether the two figures are similar or not we first find the ratio of the adjacent sides.

4/16 = 1/4

3/12 = 1/4

18/72 =1/4

The ratios are equal that's why the two figures are same, and the ratio is: 1:4

Thus, the figures are same and the ratio of the adjacent sides of the small rectangular prism to big is 1:4 option first is correct.

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What should be included in a financial plan to protect assets? a. how much money you will make b. how much money you will have in savings c. how much money you will invest d. how much insurance you will carry

Answers

A is the answer ; how much money you will make

How much money you will make is included in a financial plan to protect assets. Hence, option A is correct.

What is  a financial plan?

Financial plan is the compressive study and understanding of the financial goals with looking the current situation or current financial condition. Financial plan is the best way to achieve the targeted goal in life, as it give a map and blueprint to the person to go with.

Some of the strategies to make the financial plan -

Income, tax filing status, number of children, etc.Person's financial objectives and a broad perspectivea strategy to pay off debt.Investment strategy individual insurancean estate strategytax planning techniques.

Thus, option A is correct.

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If x= -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?
A) The discriminant is negative.
B) The discriminant is -3.
C) The discriminant is 0.
D) The discriminant is positive.

Answers

Answer:

C) The discriminant is 0.

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

How do I count by twelfths

Answers

12,  x 1 = 12

12 x 2 =24  

12 x 3 = 36

12 x 4 =48

12 x 5= 60  

12 x 6 =72  

 

12 x 7 = 84

 

12 x 8= 96

12 x 9= 108  

12 x 10 = 120  

 

12 x 11=132

12x 12= 144

hope this helps

cjvjfgxgxhzjxjcjgkfifjffifi

Answers

Answer:

∛x^4

Step-by-step explanation:

x^(4/3) = ∛x^4

Last option is the answer

The last one is the answer.

5. Clarissa has 20 DVDs that she owns. She puts
them into different categories. She owns 16 comedy
movies. Which fraction is equivalent to the number
of DVDs that are comedy movies?
A. 4/8
B. 4/5
C. 1/4
D. 4/16

Answers

Answer

B. 4/5

Explanation

Since Clarissa has 20 DVDs, it is safe to assume that the denominator will be 20 since that is the complete total.

She also owns 16 comedy movies which is the numerator.

So far, the fraction we have is 16/20

Now reduce that number into simplest terms

16/4 = 4

20/4 = 5

4/5

Use the order of operations to simplify the expression
23 + 5 × 10 ÷ 2 – 33 + (11 – 8)

A. 9
B. 41
C. 10
D. 55

Answers

For this case according to the order PEMDAS we have:

P: Perform the parenthesis calculations

E: Simplify exponential expressions

MD: Multiplications and divisions from left to right

AS: Addition and subtraction from left to right.

We have:

23 + 5 * 10÷2-33 + (11-8) =

23 + 5 * 10÷2-33 + 3 =

23 + 50÷2-33 + 3 =

23 + 25-33 + 3 =

48-33 + 3 =

15 + 3 =

18

Thus, the value of the expression is 18

ANswer:

18

how much interest is earned on a principal of $575 invested at an interest rate of 7% compounded annually for nine years?​

Answers

Answer:

$482.11 in interest

Step-by-step explanation:

Use the compound amount formula.  Calculate the compound amount and then subtract the principle to find the amount of interest earned.

A = P(1 + r)^t, where r is the interest rate as a decimal fraction

This becomes:

A = $575(1 + 0.07)^9, or A = $1057.11.

Subtracting the principal:  A - P:  $1057.11 - $575 = $402.11

The total interest earned is $482 on a principal of $575 invested at an interest rate of 7% compounded annually for nine years

What is compound interest?

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, P = $575, n = 9 and r = 7%.

∴ A = 575(1 + 7/100)⁹.

A = 575(1.07)⁹.

A = 575(1.84).

A = 1057.

So, Interest earned is (A - P) = (1057 - 575) = $482.

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helppppppppppoppppp??

Answers

Answer:

1st option because those angles are a linear pair.

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?





Answers

Answer:

x = 4 ± [tex]\sqrt{19}[/tex]

Step-by-step explanation:

Given

x² - 8x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ± [tex]\sqrt{19}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{19}[/tex]

Final answer:

To solve the equation x^2 - 8x = 3 by completing the square, we first rearrange the equation, add 16 to both sides to form a perfect square, and then take the square root of both sides resulting in the solution set {4 + √19, 4 - √19}.

Explanation:

Completing the Square Method

To solve the equation x2 − 8x = 3 by completing the square, follow these steps:

Move the constant term to the right side of the equation: x2 − 8x = 3 becomes x2 − 8x − 3 = 0.Add ½ of the coefficient of x, squared, to both sides to complete the square: The coefficient of x is -8, so ½ of -8 is -4, and (-4)2 is 16. Thus, add 16 to both sides: x2 − 8x + 16 = 3 + 16.Now the equation is (x − 4)2 = 19, which shows a perfect square on the left.
To find the value of x, take the square root of both sides: x − 4 = ±√19.Add 4 to both sides to solve for x: x = 4 ±√19.

The solution set for the equation is {4 + √19, 4 − √19}.

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