A Ferris wheel rotates 9π/8 radians prior to making a stop. The total height of the Ferris wheel is 246 ft. How far around did the Ferris wheel travel?

Answer:

1. x = 4

2. x = 2

3. x = -1

4. x = -3

Step-by-step explanation:

1. (x4)-(2•(x3)))-13x2)+14x)+24  = 0

2. ((x4) -  2x3) -  13x2) +  14x) +  24  = 0

3.  Find roots (zeroes) of :       F(x) = x4-2x3-13x2+14x+24

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  24.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,8 ,12 ,24

Answer:

x = 24

Step-by-step explanation:

[tex] \sqrt{x - 8} - 3 = 1 \\ \sqrt{x - 8} = 1 + 3 \\ \sqrt{x - 8} = 4 \\ squaring \: both \: sides \: \\ {( \sqrt{x - 8)} }^{2} = {4}^{2} \\ x - 8 = 16 \\ x = 16 + 8 \\ \huge \red{ \boxed{x = 24}}[/tex]

Answer:

Here you go :)

Step-by-step explanation:

1. w = 25

2. y = 7

3. x = 7

Answer:

Step-by-step explanation:

The event is a red car vehicle. So, the experimental probability would be the ratio between the total number of red car vehicles and the total number of cars.

Notice that there are 22 red vehicles in total, and there are 100 cars in total. So, the ratio is

[tex]P=\frac{22}{100} = \frac{11}{50} = 0.22[/tex]

Therefore, there are 22% of chances that the next vehicle in the lot is a red car.

Answer:

-36

Step-by-step explanation:

-48+12=-36

Answer: -36

Step-by-step explanation: −48−(−12)

=−48−(−12)

=−48+12

=−36

Answer:

where is the unknow value

Step-by-step explanation:

Answer:

4 / 15

Step-by-step explanation:

The total number of ways 2 students can be picked is 15 * 14 = 210 because you have 15 students to begin with and after you pick one, you're left with 14 more to choose from.

The total number of ways a senior and a junior can be picked is 8 * 7 = 56 because there are 8 seniors and 7 juniors.

The probability will then be 56 / 210 = 4 / 15. Hope this helps!

Answer:4x(x^2+2x+3)

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Answer: 90

Step-by-step explanation: mAB =180° as it is a straight angle

x=180-120= 60°

so,The number should be less than 180 but more than 60, be divisible by 30 and be a 2 digit no.

nos. divisible by 30 between 60 and 180 are 90,120 and 150

But there is only one of these that are 2 digit i. e. 90

Therefore, the no. is 90

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Answer:

(25%)

Step-by-step explanation:

12√4=3√1=3=25%

Answer:

Denoting 2 desired numbers: x and y, then:

x + y = 17

2x = 3y + 4

<=>

x = 17 - y

2*(17 - y) = 3y + 4

<=>

x = 17 - y

34 - 2y = 3y + 4

<=>

x = 17 - y

5y = 30

<=>

y = 6

x = 17 - 6 = 11

Hope this helps!

:)

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

           = 5.5cm

Volume = π × 5.5² × 16

             =1520.5cm³

Answer:

1.775 pints of white paint

Step-by-step explanation:

1) Find out how much blue paint was used

In order to do that, we must figure out what is three-fourths of 7.4...

[tex]7.4(\frac{3}{4} ) = 5.625[/tex]

That means that Sasha used 5.625 pints of blue paint.

2) Find out how much white paint was used

In order to do that, we must subtract the amount of blue paint (5.625) from the total amount of paint (7.4)...

7.4 - 5.625 = 1.775

That means that Sasha used 1.775 pints of white paint.

I hope this helps!

Answer:

1.775 white paint would be the answer

Simplify using distributive property

xy+x+y^2+3y+2

Answer: xy+y2+x+3y+2

Step-by-step explanation: =(x+y+2)(y+1)

=(x)(y)+(x)(1)+(y)(y)+(y)(1)+(2)(y)+(2)(1)

=xy+x+y2+y+2y+2

=xy+y2+x+3y+2

Answer:

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me my frnd...

Answer:

The selling price of the painting would be $63.00

Step-by-step explanation:

discount amount = x

original price = $210

discount % = 70%

Formula: discount amount/original price = discount%/100%

x/210 = 70/100

x · 100 = 70 · 210

100x = 14,700

100x/100 = 14,700/100

x = $147.00

Formula:

Sale price = original price - discount = final answer

Sale price = $210 - $147 = $63.00

Answer:

A rectangle that has the same volume can be the opposite of  that.

Step-by-step explanation:

The length = 4

the width = 20

the height = 6

Hope this helps,

v= l ×w×h

ヾ(・ω・`)ノ

No, the surface areas are not the same.

Answer:

Step-by-step explanation:

Answer:

3915 cubic inches

Step-by-step explanation:

Let's individually find the volume of both, and then combine them. For the triangle, we know that the length of the triangular base is 7 inches, the height is 10 inches, and the length of the prism is 29 inches. Therefore, the area of the triangular prism is 7*10*29/2=1015 cubic inches. For the rectangular prism, you simply need to multiply all of the dimensions together, getting 10*10*29=2900 cubic inches. Adding these together, you get a total of 3915 cubic inches. Hope this helps!

Answer:

$220,000

Step-by-step explanation:

Given;

The annual median income for a registered nurse = $65,000

The annual median income for a registered dietitian = $54,000

The difference in the annual income of the registered dietitian from Nurse;

d = 65,000 - 54,000

d = $11,000

In 20 years, the cumulative difference in their earnings is;

Td = 20 × $11,000

Td = $220,000

Therefore, in 20 years the registered nurse will earn $220,000 more than the registered dietitian.

Answer: 77

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Answer:

r=3.25

Step-by-step explanation:

Answer:

r = 3.25

Step-by-step explanation:

Solve for r:

0.5 (r + 2.75) = 3

Multiply both sides of 0.5 (r + 2.75) = 3 by 2:

2×0.5 (r + 2.75) = 2×3

2×0.5 = 1:

1 (r + 2.75) = 2×3

2×3 = 6:

1 (r + 2.75) = 6

Multiply both sides of 1 (r + 2.75) = 6 by 1:

1×1 (r + 2.75) = 1×6

1×1 = 1^2:

1^2 (r + 2.75) = 1×6

1^2 = 1:

1 (r + 2.75) = 1×6

1×6 = 6:

r + 2.75 = 6

Subtract 2.75` from both sides:

r + (2.75 - 2.75) = 6 - 2.75

2.75 - 2.75 = 0:

r = 6 - 2.75

6 - 2.75 = 3.25:

Answer: r = 3.25

Answer:

                  z = -165

Step-by-step explanation:

            z

Simplify   ——

           11

 z    

 —— -  -15  = 0  

 11    

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  11  as the denominator :

          -15     -15 • 11

   -15 =  ———  =  ————————

           1         11  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

z - (-15 • 11)     z + 165

——————————————  =  ———————

      11             11    

Equation at the end of step  2  :

 z + 165

 ———————  = 0  

   11    

Step  3  :

When a fraction equals zero :

3.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 z+165

 ————— • 11 = 0 • 11

  11  

Now, on the left hand side, the  11  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  z+165  = 0

Solving a Single Variable Equation :

3.2      Solve  :    z+165 = 0  

Subtract  165  from both sides of the equation :  

                     z = -165

One solution was found :

                  z = -165

Answer:

80

Step-by-step explanation:

[tex]f(7)=2(7)^{2} -3(7)+3[/tex]

[tex]= 2(49)-21+3\\=98-21+3\\=80\\[/tex]

Answer:

5 or above round up 4 or below round down

15.5

The numbers after the rounded digit becomes zeroes

Hope this helps

Step-by-step explanation:

Answer:

15.5 hope this helps

:)

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

i got it right on khan academy

Answer:

1/16

Step-by-step explanation:

Got It on Khan academy

Answer:

The median is 2 lower quartile is 11 and upper quartile is 6

Step-by-step explanation:

hope this helps

Answer:

* x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

Step-by-step explanation:

Through factorization;

x^4 + 95x^2 – 500 = 0, ⇒ u^2 ⇒ x^2,

u^2 + 95u - 500 = 0, ⇒ factors of -500; -25, 20, -50 * 10, -2 * 250, -5 * 100...

( u )^2 + ( - 5 + 100 ) + ( - 5 * 100 ) = 0,

( u - 5 )( u + 100 ) = 0,

u = 5, and y = - 100

Substitute u back into format x^2;

u = x^2, 5 = x^2, | x | = √5 ⇒ x = - / + √5,

u = x^2, - 100 = x^2, | x | = √- 100 ⇒ x = - / + 10i

* Answer: x ⇒ plus-or-minus StartRoot 5 EndRoot and ±10i *

A equation in form of [tex]ax^{2} +bx+c=0[/tex] is known as quadratic equation.

Solutions of given equations are [tex]x=\pm\sqrt{5}[/tex] and [tex]x=\pm10i[/tex]

Given equation are, [tex]x^{4} +95x^{2} -500=0[/tex]

Substitute [tex]x^{2} =m[/tex] in above equations. So, equation become

                    [tex]m^{2}+95m-500=0\\\\m^{2}+100m-5m-500=0\\\\m(m+100)-5(m+100)=0\\\\(m-5)(m+100)=0\\\\m=5,m=-100[/tex]

So, [tex]x^{2} =5,x=\pm\sqrt{5}[/tex]

     [tex]x^{2} =-100,x=\pm10i[/tex]

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