A seat’s position on a Ferris wheel can be modelled by the function y = 18 cos 2.8(x + 1.2) + 21, where y represents the height in feet and x represents the time in minutes. Determine the diameter of the Ferris wheel.

Answers

Answer 1

Step-by-step explanation:

A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.

h=-16t^2+16t+320

Answer 2
Step by step expression

Related Questions

a stone has a mass of 10kg on earth. calculate the weight on the moon. accelaration on the moon is 10 m/s2

Answers

Answer:

Weight of the stone is 100 N

Step-by-step explanation:

[tex]{ \boxed{ \bf{weight = mass \times acceleration}}} \\ { \sf{weight = 10 \times 10}} \\ { \sf{weight = 100 \: newtons}}[/tex]

Is the statement at the top true or false

Answers

Answer:

false

Step-by-step explanation:

these angles are horizonal

Please help explanation need it ?

Answers

Answer:

Sin(?)=35/48

?=Sin^-1(35/48)

?=46.82

? ≈ 47

OAmalOHopeO

write the equation in point -slope form using this graph

Answers

Step-by-step explanation:

Step 1:  Write the equation using point-slope form

Point-Slope Form:  [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

[tex]y-0=m(x-3)[/tex]

[tex]y = m(x-3)[/tex]

Step 2:  Find the slope

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m=\frac{-2-0}{-2-(-3)}[/tex]

[tex]m=\frac{-2}{1}[/tex]

[tex]m=-2[/tex]

Step 3:  Combine them together

[tex]y = m(x - 3)[/tex]

y = -2(x - 3)

IF NEEDED:  Completely factor

[tex]y = (-2 * x) + (-2 * -3)[/tex]

y = -2x + 6

Helppppp pleaseeee anyoneeeee

Answers

Alright, let's do some math!

We know that the constant is = 25, and that for every 1 year it grows by 80.

So, we can create the formula h= 80y+25. This is a really simple way of saying that h is equal to 80 x the value of y + the base of 25.

Now we just need to plug in the numbers and we will get our answers!

y=5    80(5)+25= 425

y=7    80(7)+25= 585

y=9    80(9)+25= 745

y=10    80(10)+25= 825

I hope this helps! :)

Answer:

y=5,h=345. y=7, h=505. y=9, h=665. y=10, h=745.

Step-by-step explanation:

y=5

Add 320 to when it was first planted.

y=7

Add 160 to when y=5.

y=9

Add 160 to when y=7.

y=10

Add 80 to when y=9.

Joan is cutting a roll of ribbon to be used as bows on gifts. If each bow takes 7/8 of a metre of ribbon and Joan has 7 m total of ribbon, how many bows can be made?

Answers

8 cus if they each take 7/8 then u can get 8

find the missing side.​

Answers

Answer:

24.8

Step-by-step explanation:

sin75 = 24/x

x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)

A random walk process for a single stock consists of the toss of a fair coin at the end of each day. If the outcome is heads, the stock price increases by 1.25 percent. If the outcome is tails, the stock price decreases by 0.75 percent. What is the drift of such a process

Answers

Answer:

+0.25

Step-by-step explanation:

Calculation to determine the drift of such a process

Using this formula

Drift=(Increases in stock price*50%)- (Decreases in stock price *50%)

Let plug in the formula

Drift = (0.5)(1.25) + (0.5)(-0.75)

Drift =0.625+ (0.375)

Drift = +0.25%

Therefore the drift of such a process is +0.25

given that the line a is parallel to line b and that line c is parallel to line d, if m∠13 = (12x-22)° and m∠14 = (9x-29)°, find m∠2

Answers

Answer:

70°

Step-by-step explanation:

m<13 + m<14 = 180

So, 12x-22+9x-29=180

or, 21x=180+29+22

or, 21x=231

or, x=11

now m<2=<m14=9x-29

or, m<2=9×11-29=70°

Answered by GAUTHMATH

If a moped goes 30 miles per hour, how many hours will it take to travel
217.5 miles?

Answers

It would take 7.25 Hours

217.5/30= 7.25

Answer:

217.5

Step-by-step explanation:

There are two ways to do this problem, first dividing to find the missing value. It will look like this:

217.5 ÷ 30 = 7.25

Or, using random numbers and multiplying it by 30, which is like this:

30 × 10 = 300

30 × 4 = 120

30 × 7 = 210

30 × 7.1 = 213

30 × 7.25 = 217.5

please explain this to me?​

Answers

Answer:

14cm + 3cm =17cm

Step-by-step explanation:

now find the area

y' = (x+1/[tex]\sqrt{x^{2} +1[/tex]

Answers

Answer:

Solving for x (rearranging) you get:

(x^3+x+(x^2+1)^1/2)/x^2+1=y

Step-by-step explanation:

Solve for x by simplifying both sides of the equation and solving for y by isolating y

If 5k = -25, then 5k - 1 = -25 - 1
Segment proof

Answers

yeah cuz u could +1 to each side of the second equation to get rid of both the -1’s and that is equivalent to the first equation :)

Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer

Answers

Answer: (13,-7)

Step-by-step explanation:

By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]

[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.

For finding the midpoint X variable do:

[tex](\frac{4+22}{2})=13[/tex]

For finding the midpoint Y variable do:

[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5​

Answers

Answer:

b

Step-by-step explanation:

i had it

Which of the lines below has a negative slope?


Answers

You can see if a slope is positive or negative by looking from left to right. If you look at graph A, the slope is going down. Therefore, the slope is negative. B is an undefined slope. C is a slope of 0, 0 isn’t negative. Finally, D is a positive slope.

The answer is A. Line A.

Answer:

A

Step-by-step explanation:

A negative slope goes down from left to right

A positive slope goes up from left to right

A zero slope is a horizontal line

An undefined slope is a vertical line

A  is a line that goes down from left to right

1_tanA/1+tanA=cotA_1/cotA+1​

Answers

Answer:

here,

L.H.S;

1-tanA / 1+tanA

=1-1/cotA / 1+1/cotA

= cotA-1/cotA / cotA+1/cotA

=cotA-1 / cotA+1

= R.H.S

proved

Answer:

if it's a math proof, i will think this is answer

Step-by-step explanation:

Identify the type of function represented by f(x)=4 x 2^x

Answers

Answer:

exponential growth

Step-by-step explanation:

f(x) is in the form  a* b^x

where a is the initial value and b is the growth/ decay factor

since b > 1 it is growth

This is the exponential form of a function

We have exponential growth

A rental car company offers two rental plans, Plan A and Plan B, for the same economy size car. For both plans, the total rental cost F(m) is a function of the number of miles M that the car is driven.

Plan A: f(m) = 0.12 + 75

Plan B: f(m) = 0.35m

I. In complete sentences, translate each function into a verbal model describing the total cost of the rental in terms of the number of miles that the car is driven.

II. For each function, determine how the rate of change will affect the total cost of a car rental.

III. For a car rental that will include a maximum of 250 miles for the duration of the rental, which plan is the most cost effective?

Answers

Answer:

Plan B

Step-by-step explanation:

I NEED HELP ASAP!!! i dont understand

Answers

Answer:

b

Step-by-step explanation:

A parabola represents a quadratic equation. For a point called the focus and a line called the directrix, the distance from each point of the parabola to the focus is equal to its distance to the directrix. For example, if the directrix of the parabola was y=0 and the focus was (1,1), the distance between each point on the parabola to (1,1) would be equal to its distance from the line y=0.

For a parabola that has a horizontal axis of symmetry (or when y² is in the equation rather than x²), one way to write its equation is of the form

(y-k)²  =4p(x-h), where (h,k) is the vertex. Now, we can try to match up this form with the equation we have,

y² = 24x

(y-k)² = 4p(x-h)

We can start by setting both sides with y equal to each other, as well as both sides containing x

y² = (y-k)²

square root both sides

y = y-k

k=0

24x = 4p(x-h)

divide both sides by 4

6x = p(x-h)

expand

6x = p*x - p*h

Because p*h does not contain an x value, we can say

6x = p * x

p = 6

6x = p*x - p*h

6x = 6x-6*h

subtract 6x from both sidex

6*h=0

h=0

Our equation is thus

y= 4(6)(x), with our vertex being (0,0) = (h,k)

The directrix is equal to x=h-p, and with p being 6, our directrix is thus

x=0-6 = -6

x=-6

when a certain number is added to 11 and the result is multiplied by 3, the final result is 45 . find the number​

Answers

Answer:

4

Step-by-step explanation:

Let the number = x

Added to 11 = 11+x

Multiply result by 3 = 3(11+x)

Final result = 45

Solving

3(11 + x) =45

33 +3x = 45

3x= 45-33

3x=12

X=4 by dividing both side by 3

Chọn bốn ví dụ sau Ví dụ nào không phải là phân số
A.3/-5 B.1,7/3 C.0/2 D.-13/-4

Answers

Answer:

a

Step-by-step explanation:

vì số âm không nằm ở dưới

find the missing segment in the image below​

Answers

Answer:

3

Step-by-step explanation:

Intercept theorem

DE // CB ⇒ [tex]\frac{AD}{AC} = \frac{AE}{AB}[/tex]

⇒ [tex]\frac{6}{6+?} =\frac{4}{4+2}[/tex]

⇒ ? = 3

solve for θ:

sin(θ-70)=cos(θ)

pls help and explain step by step
thank you ​

Answers

Answer:

Use this rule : cosx = sin (90 - x)

sin( x -70) = sin (90 - x)

x-70 = 90 - x

2x = 160

x = 80

What is the area of the figure below if all angles are right angles?
F: 2 square yards
G: 4 square yards
H: 5 square yards
J: 7 square yards
K: none of these ​

Answers

I think it’s 2 yards

The required area of the figure is 5 square yards.

What is area of rectangle?

Area of rectangle is defined as product of the length and width.

Suppose a rectangle and a square has been removed from rectangle.

Length of rectangle = 3  yards

Width of rectangle 2 yards

Length of square = 1 yards

Area of rectangle = 3 × 2 = 6 square yards

Area of square = 1 × 1 = 1 square yards

The required area of the figure = area of rectangle - area of square

Substitute the values

The required area of the figure = 6 - 1

The required area of the figure = 5 square yards

Hence, the required area of the figure is 5 square yards.

Learn more about Area of rectangle here:

brainly.com/question/20693059

#SPJ2


= X
20
100
60

Please help me

Answers

Answer:

x = 100

Step-by-step explanation:

(100-40)/2

= 60/2

= 30

So it's 100

Answered by GAUTHMATH

After getting RM24 from his mother, Samuel had 3 times as much as he had previously. How much did he have previously?​

Answers

Answer:

Samuel had RM8 previously

Step-by-step explanation:

24÷3=8

Find the value of x and y in the following figure​

Answers

Step-by-step explanation:

y+80+70=180

y+150=180

y=30

Now you can, easily find x

What is the volume of the solid? Let π=3.14

Answers

Answer:

V = 7234.56 km^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 (3.14) (12)^3

V = 7234.56 km^3

Answer:

7234, 56 km³

Step-by-step explanation:

π×R³×4/3=3.14×1728×4/3=7234, 56 km³

What is the measure of n?

Answers

Answer:

m = 10, n = [tex]\sqrt{75}[/tex]

Step-by-step explanation:

We know that the value of an altitude of a right triangle is the square root of the values that the altitude split multiplied together (or the square root of the value of the bases multiplied together).

The values here would be 5 and 15. 5 times 15 is 75, so the value of the altitude is the square root of 75. To find the value of m, we can use the Pythagorean theorem, where 5 and n are the legs and m is the hypotenuse. We already know the value of n, so we can plug that into the Pythagorean theorem:

[tex]5^2+(\sqrt{75})^2=m^2[/tex]

We know 5 squared is 25, and the square of the square root of 75 is 75, and 75 + 25 is 100.

[tex]m^2=100[/tex]

This means that m is equal 10, because the square root of 100 is m.

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