The demon drop at cedar point in Ohio takes riders to the top of a tower and drops them 60 feet. A function that approximates this ride is h = 16^2 + 64x - 60, where h is the height in feet t

Answer:

P(d) = 62 - 2d

Step-by-step explanation:

P = pound per square inch

d = days

(52 - 46) / 3 = 2

46 + 2 * 8 = 62

Answer:

The sequence is

Each term is the sum of the consecutive numbers from 1 to that number.

The nth term is the sum of the first n numbers:

1) The number of circles in the nth pile is n(n + 1)/2

2) When n tends to infinity the number of circles tends to infinity

Answer:

18 nickels, 9 dimes, 6 quarters.

Step-by-step explanation:

Basically, I just made a money table and used it to get my equation, which is: 60x-30=330, to get how many quarters there are. Then, plug that in to the problem and you have your answer.

The solution of system of equations is (5, 10)

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=2x ...(1)

y=x+5...(2)

Let us plug in equation 2 in equation 1

x+5=2x

Subtract x from both sides

x=5

Now plug in x value in equation 1

y=2×5

y=10

Hence, the solution of system of equations is (5, 10)

To learn more on Equation:

https://brainly.com/question/10413253

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Answer:

C. The rudely disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the politely disagrees condition has a mean of 3.82 and standard deviation of 0.97

Step-by-step explanation:

The given data is  

                                          x`             Std. Dev      

R. disagrees                  4.16       0.854        

P. disagrees                 3.82       0.967        

From this data we see that the R. disagrees has a mean of 4.16 and standard deviation of 0.854

while

the P. disagrees has a mean of 3.82 and standard deviation of 0.967.

Same figures are given only in option C because

Rounding 0.854 gives 0.85

Rounding 0.967 gives 0.97

So only option C is the best choice.

C. The R. Disagrees condition has a mean of 4.16 and a standard deviation of 0.85 while the P. Disagrees condition has a mean of 3.82 and standard deviation of 0.97

Answer:

The statement is false.

Step-by-step explanation:

We know that all integer numbers can be written as a product of prime numbers.

For example:

15 = 5*3

15 is a product of two prime numbers, 5 and 3.

28 = 2*2*7

28 is the product of two prime numbers, 2 two times, and 7.

Now, we want to prove that in any set of 9 positive integers, some of them share all of their primary factors that are less than or equal to 5.

Now, let's try to find a counterexample to see if this is false.

The first idea that comes to mind is, what with a set of 9 positive prime numbers?

(2, 3, 5, 7, 11, 13, 17, 19, 23)

So none of these numbers share their primary factors (where the "1" is not considered as a primary factor)

And another counterexample could be:

(2, 3, 5, 7, 11, 13, 17, 6, 10)

Here 6 = 2*3

        10 = 2*5

So 6 and 10 share a primary factor (the two) but do not share all of their primary factors that are less than or equal to 5.

So we found two counterexamples of the statement, so we can conclude that the statement is false.

Answer:

C and D

Step-by-step explanation:

So basically when u square -5 or +5, u get 25 either way

And since the square root of x is greater than or equal to 25, u can use both of them for answers.

Answer:

35

Step-by-step explanation:

the answer is 35 because a straight line is 170° and 135+35 is 170

Answer: The vertical line on a graph representing the vertical coordinate points.

Answer:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Take the coefficient of the linear term and divide it by 2

9/2

Then square it 81/4

That should either be added to the 11 or subtracted from the 15.

The answer is C

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

The quadratic expands to ...

  (2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1

The coefficients can be factored out of the sum, so ...

  ∑(4n²) = 4∑n² for example

The sum of 60 ones is 60:

  [tex]\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60[/tex]

So, the sum can be written as ...

  [tex]\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}[/tex]

_____

It appears that the key to choosing the correct answers is paying attention to signs.

Answer: Step number 2 is 287,980

Step-by-step explanation:

Just did the assignment.

Answer:

3 X 1/2

Step-by-step explanation:

I started by eliminating C and B because of adding and subtraction in the problem.

Answer:

3 x 1/2

Step-by-step explanation:

there are 3 groups of 1/2

Answer: = 6

Step-by-step explanation: Hope this help :D

Answer:

The one all the way to the right

Step-by-step explanation:

30 ÷ X = 6

30 ÷ 5 = 6

There are 180 degrees in a triangle

4. 38+38= 76 degrees

180-76=104

Isosceles, Obtuse

5. 65+ x+x=65

Well we know one of the x

It is 90 degrees because it is a right angle

65+90=155

180-155=25

Scalene, Right triangle

6. 71+45= 116

180-116=64

7.  Scalene, acute

8. 126+22=148

180-148=32

Scalene, Obtuse

9. 50+90=140

180-140=40

Right angle,  Scalene

Please let me know if i got anything wrong

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

Answer:

wefwdwddwd

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

Answer:

E and F

Step-by-step explanation:

So, our inequalityis that the square root of x is eithr greater than or equal to 25.

Lets think of this as a equation, and try solving for x:

[tex]\sqrt{x} \geq 25[/tex]

Lets square both sides to get x normal:

[tex]x\geq 625[/tex]

Now, x must either be greater than or equal to this value.

Lets look at the answers:

125

-625

-5

5

700

625

Well, most these answers are below the 625.

However, some of these values look like they may be right:

-625

700

625

So, -625 cannot be it. Although it seems to be equal to to 625 above, its negative. This means its much smaller than it

We also have 625 and 700

700 is greater than 625, so that has to be an answer.

Remember that its greater than or equal to.

625 is equal to 625, so this is an answer as well.

Answers:

625 and 700

Hope this helps! Sorry that you could not get a real answer until now :(

Answer:

- 15

Step-by-step explanation:

5 * -3 = -15

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

9514 1404 393

Answer:

  153.6 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh . . . . . . where B is the area of the base, and h is the height

The area of the triangular base is given by the formula ...

  A = 1/2bh . . . . where b and h are the base and height of the triangle

For a right triangle, the lengths of the legs can be used for the base and height.

The base area is ...

  A = (1/2)(6 mm)(8 mm) = 24 mm²

Then the volume is ...

  V = (24 mm²)(6.4 mm) = 153.6 mm³

Answer:

The swimmer must move in the direction 338.2°

Step-by-step explanation:

Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular,  the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.

The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph

So, θ = tan⁻¹(-1.2 mph/+ 3mph)

θ = tan⁻¹(-1.2/3)

θ = tan⁻¹(-0.4)

θ = -21.8°

θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)

θ = 338.2°

So, the swimmer must move in the direction 338.2°.

Answer:

no.6 is 22in. while in no.7 is 18cm

let h=-12, k=-11 then

(x-h)^2 + (y-k)^2= r^2

(x+12)^2 + (y+11)^2 = 7^2

x^2 + 24x + 144 + y^2 + 22y + 121 = 49

x^2 + y^2 + 24x + 22y + 144+121-49= 0

x^2 + y^2 + 24x + 22y + 216 = 0 is the required eq

Answer:

b

Step-by-step explanation: