DUE FRIDAY WELL WRITTEN ANSWERS ONLY PLEASE HELP!!!
The height in feet of a seat on a Ferris wheel is given by the function h(t)=50sin(2πt/10) + 60. Time t is measured in minutes since the Ferris wheel started. How long does it take for the Ferris wheel to make one full revolution?

The probability of C and D being mutually exclusive is not possible because they occur  independently  with a probability of 0.18.

The formula for evaluating the probability of independent events is

\(P(A and B) = P(A) * P(B)\)

Then

P(A) and P(B) =  probabilities of events A and B respectively.

For the given case,

we keep two independent events C and D with probabilities

Here,

P(C) = 0.3

P(D) = 0.6

Then, the evaluated  probability of both events occurring together is

\(P(C and D) = P(C) * P(D)\)

          \(= 0.3 * 0.6\)

          = 0.18

Then, C and D are not mutually exclusive events the reason behind it is  they can occur independently of each other with a probability of 0.18.

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x=12.0; y=19.6

Option 4 is the right answer.

What are the properties of tangent of the circle?

A tangent is correctly formed only if touches the circle at only one point. A tangent never passes through a circle, that is, it never crosses the circle while entering its interior. A tangent is also not known for intersecting the circle at the two different points.

Since, in a circle the radii are equal.

So, OA=OB=x=12

Tangent to a circle is the line that touches the circle at only one point.

The length of tangents from an external point to a circle are equal.

By the theorem,

If two tangents are drawn from an external point of the circle, then they are of equal lengths.

So, AC =BC (by the theorem)

AC and BC look to be tangents- tangents to a circle from a point are congruent.

So, AC is congruent to BC.

Thus, AC=BC=y=19.6

Hence, x=12.0 and y=19.6

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Answer:

answer is A. 423

Step-by-step explanation:

1- find the formula

2- identify the surface area of a prism

3-

1/2 x 6 x 8 x 2 +8 x 16 + 10 x 16 + 6 x 16= 432

SA= 2 triangles + 3 rectangle

The mean of p, q, and r is (p + q + r) / 3 = (23 + 3 + 29) / 3 = 55 / 3 = 18.33.

The mean of three numbers is the sum of the numbers divided by 3.

The mean of three numbers is the sum of the numbers divided by 3. If the mean of p and q is 13, we can write the equation:

(p + q) / 2 = 13

Multiplying both sides by 2, we get:

p + q = 26

Similarly, if the mean of q and r is 16, we can write the equation:

(q + r) / 2 = 16

Multiplying both sides by 2, we get:

q + r = 32

And if the mean of r and p is 7, we can write the equation:

(r + p) / 2 = 7

Multiplying both sides by 2, we get:

r + p = 14

We now have three equations that we can use to solve for p, q, and r:

p + q = 26

q + r = 32

r + p = 14

Adding the first and third equation, we get:

2p + 2q = 40

Dividing both sides by 2, we get:

p + q = 20

And substituting this into the first equation, we get:

p + q = 26

p + q = 20

So,

p + q = 26 = 20

q = 3

Substituting q = 3 into the second equation, we get:

r + 3 = 32

r = 29

And finally, substituting q = 3 and r = 29 into the first equation, we get:

p + 3 = 26

p = 23

The mean of p, q, and r is (p + q + r) / 3 = (23 + 3 + 29) / 3 = 55 / 3 = 18.33.

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Answer:

300ft^2

Step-by-step explanation:

The probability that the result of both rolls of the die is 1/9

Probability is a numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. For example if a coin is thrown, the possibilities are to get a head or a tail. This means the total possible outcome is 2.

For the die rolled twice. A die has six faces, rolling twice will give 6x6=36 possible outcome

The probability for an event to occur = sample space/ total possible outcome

To get 5 as result for the two rolls is either 2,3or 3,2or 1,4or 4,1. Which means the sample space is 4

P(5)= 4/36

= 1/9

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Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

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Step-by-step explanation:

6×(2.5)+1.5

15+1.5

16.5

or

f(x)= 6x+1.5

f(2.5)= 6(2.5)+15

f(2.5)=16.5

You're welcome please add me as ur friend and brainiest please

Answer:

x=2 and y=11

Step-by-step explanation:

2x+4=x+6

=> x=2

then

y-4=x+5

y=2+5+4

=>y=11

Answer:

See below.

Step-by-step explanation:

The lines on the sides of the figure represent congruency. We'll solve x first by taking the lines with the values x + 6 and 2x + 4. Since they are congruent, they are equal.

2x + 4 = x + 6

x + 4 = 6

x = 2

Now that we know that x is equal to 2, we can solve for the two congruent lines at the top.

y - 4 = x + 5

y - 4 = (2) + 5

y - 4 = 7

y = 11

Now you can substitute those values to find the side lengths.

y - 4 = 11 - 4 = 7

x + 5 = 2 + 5 = 7

2x + 4 = 2(2) + 4 = 4 + 4 = 8

x + 6 = 2 + 6 = 8

Answer:

2/6 + ⅓ + ½

= (2+2+3)/6

= 7 / 6

= 1⅙

Step-by-step explanation:

brainliest plz

Answer:

1  1/6

Step-by-step explanation:

Find the common denominator for 6, 3, 2

6 is divisible evenly by all three of those numbers so 6 is the lowest common denominator.

Convert all the fractions into sixths.

The first fraction is already done.

1/3.....  the denominator needs to be multiplied by 2 so you have to multiply the numerator by the same amount.

1/3 x 2/2 = 2/6

1/2.... the denominator needs to be multiplied by 3 so you do the same thing to the numerator.

1/2 x 3/3 = 3/6

Now you have

2/6 + 2/6 + 3/6 = 7/6

Simplify the answer

6/6 = 1  so remove 6/6 from 7/6 and you are left with just 1/6

So your answer will be 1 and 1/6  or  1  1/6

First row = 25

Second row = 27

Third row = 29

This is 25, 27, 29...

there are 30 rows, this is n = 30

common difference = d = 27 - 25 = 2

then, we use the formula:

so, 83 is the last term:

that mean 1620 total seats, therefore:

answer: $4,050,000

Answer:

100 probably

Step-by-step explanation:

Becuase it was bisected and bisect me as to divide in to two.. So when u get 50 deg.. The total is 100

Answer:

it can have any about 3 and up as long as it is a 2d shape and it has to have straight lines

Answer:

They all vary. All a polygon needs is straight sides, two dimensions, and equal length sides.

Step-by-step explanation:

Hope this helps!

Answer:

mommy

Step-by-step explanation:

The value of the function \(f(x)=3x^{2} -2x\) for x=4 is 40.

The given function is \(f(x)=3x^{2} -2x\).

We need to evaluate the given function for x=4.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

To find the value of the given function replace x with 4 and simplify.

That is, \(f(4)=3(4)^{2} -2 \times 4=48-8=40\).

Hence, the value of the function \(f(x)=3x^{2} -2x\) for x=4 is 40.

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Answer:

square:48

triangle:16

circle:6.28

Step-by-step explanation:

square: b x h = base * height

triangle: 1/2 x bh = 1/2 x base x height

circle: 3.14 x r square = 3.14 x 4 x 1/2

4 because is radius square = 2 x 2 = 4

Answer:

ask your teacher

Step-by-step explanation:

Answer:

heres the square root of 20 4.47214 but i dont know what else to do for this answer. (sorry)

Step-by-step explanation:

√20 = √(4 * 5) = √4 * √5 = 2√5 ≈ 4.47214

The equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.

The position of the particle is given by the vector-valued function r(t) = (t + 4) i + (t2 + 5) j, where i and j are the standard basis vectors in the x and y directions, respectively. To find an equation in x and y whose graph is the path of the particle, we can eliminate the parameter t.

We start by solving for t in terms of x: t = x - 4. Substituting this expression into the equation for y, we get y = (x - 4)2 + 5 = x2 - 8x + 21.

Therefore, the equation in x and y whose graph is the path of the particle is y = x2 - 8x + 21. This is a parabolic equation, which is symmetric about the vertical line x = 4. It opens upward since the coefficient of x2 is positive, indicating that the particle moves upwards as time increases.

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Options:

A. y=-3x-6

B. y=2x-23

C. y=-7x-16

D. y=x-17

E. y=-2x+9

Answer:

C. y=-7x-16

E. y=-2x+9

Step-by-step explanation:

Given

\((x,y) = (-5,19)\)

Required

Choose two equations

To do this, we simply substitute -5 for x in each of the options.

Whichever gives y=19 is true for the given solution

\(A.\ y=-3x-6\)

\(y=-3(-5)-6\)

\(y=15-6\)

\(y=9\)

\(B.\ y=2x-23\)

\(y=2(-5)-23\)

\(y=-10-23\)

\(y = -33\)

\(C.\ y=-7x-16\)

\(y=-7(-5)-16\)

\(y=35-16\)

\(y=19\)

\(D.\ y=x-17\)

\(y=-5-17\)

\(y=-22\)

\(E.\ y=-2x+9\)

\(y=-2(-5)+9\)

\(y=10+9\)

\(y = 19\)

Options C and E are true

Answer:

8 · (32 · x^5 / 9 x^3 y^4)

Answer:

4

Step-by-step explanation:

Answer:

1)

\( \frac{19}{12} \: or \: 1\frac{7}{12} \)

2)

\( \frac{5}{21} \)

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base =  π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h   ⇒  h= v/πx²    ⇒   h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒  A(x) =  2*π*x² + 2πx (V/πx² )

A(x) =  2*π*x² + 800/x

Taking derivatives:

A´(x)  =  4πx  - 800/x²

A´(x) = 0                4πx  - 800/x² =0     ⇒ πx - 200/x² = 0

( πx³  -  200 )/ x²  = 0      

πx³  -  200 = 0      

x = 4 cm

and h = 400/πx²    ⇒  h = 78.6 cm

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Answer:

The profit he made from each tin he sold is Rs. 180

Ratio is a comparison of two or more numbers that indicates how many times one number contains another.

How to determine this

Given a large amount of pink paint by mixing red and white paint in ratio 2 : 3

i.e Red paint to White pant = 2 : 3

= 2 + 3 = 5

To find the amount red paint = 2/5 * 10

= 20/5

= 4 liters

Amount of white paint = 3/5 * 10

= 30/5

= 6 liters

To find the cost per liter of red paint = Rs. 800 per 10 liters

= 800/10 = Rs. 80

So, the cost of red paint = Rs. 80 * 4 = Rs. 320

The cost per liter of white paint = Rs. 500 per 10 liters

= 500/10 = Rs. 50

So, the cost of white paint = Rs. 50 * 6 = Rs. 300

The total cost of Red paint and White paint = Rs. 320 + Rs. 300

= Rs. 620

To find the profit he made

= Rs. 800 - Rs. 620

= Rs. 180

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