Write the equation of the line fully simplified slope-intercept form.

Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.

Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude

g = 9.8m/s².

As Professor Sosa drops the bag, its initial velocity and time are 0.

The building has a height of 400ft, so adjusting units: y = 121.92 m and [tex]y_{0}[/tex] = 0.

For this problem, going down will be the positive reference.

Then:

[tex]y=y_{0}+v_{0}t+\frac{g}{2}t^{2}[/tex]

[tex]\Delta y=v_{0}t+\frac{g}{2}t^{2}[/tex]

[tex]121.92=\frac{9.8}{2}t^{2}[/tex]

[tex]t=\sqrt{\frac{121.92*2}{9.8} }[/tex]

t ≈ 5

It will take 5s for the candy corn bag to land on the ground.

Acceleration is the change in velocity per change in time, so:

[tex]g=\frac{\Delta v}{\Delta t}[/tex]

As initial velocity and time are 0 and rearraging it:

v = g.t

v = 9.8*5

v = 49

The bag will hit the ground with velocity of magnitude 49 m/s.

Answer:

Bertha picked up more than anica.

Step-by-step explanation:

10 1/3 = 10.33333 which is greater than anica

Answer:

-7y

Step-by-step explanation:

As long as the variable and exponent is the same, they are like terms

Answer: 68y

There are infinitely many ways to answer this. All you need to do is pick your favorite number and then stick y at the end of it. The terms -5y and 68y are like terms because they have the same variable attached.

You can think of 68y-5y as having 68 yoyos and then subtracting off 5 yoyos to get 63 yoyos when all is said and done. In terms of algebra, we would write 68y-5y = 63y.

Answer:

5 3/4 > 6 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

      Statements                                       Reasons

1). UW bisects ∠VUX                1). Given

2). UW bisects ∠VWX              2). Given

3). ∠VUW = ∠WUX                   3). Definition of angle bisector

4). ∠UWV = ∠UWX                   4). Definition of angle bisector

5). UW = UW                             5). Reflexive property of congruence

6). ΔUWX ≅ ΔUWV                  6). ASA postulate of congruence

Answer:

Mean = 32.25

median = 31.5

Answer:

Median = 31.5

Mean  = 32.25

Step-by-step explanation:

Number of data = 8

Ascending order:

    30 , 30 , 31 , 31 , 32 ,  33 , 35, 36

Median = Average of 4th and 5th term

             = (31 + 32) / 2

              = 63/2

              = 31.5

Mean = Sum of all the observations /number of observations

         = (31 + 32 + 36 +31 + 30 + 35 + 33 +30) / 8

         = 258/8  

         = 32.25

Answer:

1) x = 7

2) x = 15

3) x = 19

4) x = 2

5) x = - 6

6) x = 10

7) x = 17

Step-by-step explanation:

1) 2x + 5= 12 +x

  -x                -x

2x -x + 5 = 12

          -5     -5

x = 7

2) 5x = 30 + 3x

   -3x          -3x

2x = 30

x = 15

3) 2 + x/3 = 7

3(2 + x/3) = (7) 3

2 + x = 21

-2         -2

x = 19

4) 15 - x = 17 - 2x

       +2x       +2x

15 - x + 2x = 17

-15               -15

x = 2

5) 6x = - 42 - x

   +x            +x

7x = -42

x = - 6

6) 36 - 4x = 26 - 3x

         +3x           +3x

36 - x = 26

-36        -36

-x = -10

x = 10

7) -2 + x = 15

   +2         +2

x = 17

hope this helps!

Answer:

21 man

Step-by-step explanation:

u have to do the work and get the answer

Step-by-step explanation:

I think its 85in as the area.

Answer:

neither

Step-by-step explanation:

Answer:hi how’s it going

Step-by-step explanation:

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

d. J

Step-by-step explanation:

Given that Raul gets 5 (y) book points for every 125 (x) pages he reads during summer challenge, we can say that his unit rate would be: y/x = 5/125 = 1/25.

Raul's unit rate is 1/25 book point to each page he reads.

Graph J also has a unit rate of 1/25 (y/x).

Therefore graph J models a relationship with the same unit rate.

Answer:

27°

Step-by-step explanation:

Let the measure of the angels be 3x, 10x, 7x.

[tex]3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree[/tex]

Answer:

this is grade what????

Step-by-step explanation:

Answer:

Range is 44

mean is 29.7

variance is 289.56

standard deviation is 17.016

Step-by-step explanation:

The data given as follows

3, 24, 30, 47, 43, 7, 47,13, 44, 39

Range = maximum - minimum

             = 47 -3 = 44

mean = [tex]\frac{3+24+30+47+43+7+47+13+44+39}{10}[/tex] = 297/10 = 29.7

variance = [tex]\frac{sum xi^2 }{N} - mean^2 }[/tex]

              = 289.56

SD = [tex]\sqrt{variance}[/tex]  = 17.016

The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.

Answer:

b the answer

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

Answer:

168,439,267,742,187,520,000,000

Step-by-step explanation:

40*52=2080

2080^7=168,439,267,742,187,520,000,000

Answer:

6:2

Step-by-step explanation:

This simply means for every 6 triangles there are going to be 2 circles, so if you had 12 triangles there would be 4 circles.

So think of it kinda like:

6 triangles = 2 circles and so on.

Answer:

1:3

Step-by-step explanation:

Since the question says ratio of circles to triangles , we will arrange the answer in that order

So,

2:6

Breaking it down,

1:3

Answer:

$15

Step-by-step explanation:

if one pound is $5 and we need 3, then we can multiply the price of one pound by 3. (3×$5) This gives $15

Answer:

It's A

Step-by-step explanation:

A parallelogram only has 4 sides, but pentagon has 5. Also like the name, a parallelogram opposite sides are parallel to each other.

Answer:

The error was made in the division step it should have been divided by negative 2

-2(x-6)=8

-2x+12=8

-2x=-4

-x=-2

X=2

Answer:

100%

Step-by-step explanation:

Utilization rate =

Hours worked / total working hours per day

Since the bottle works nonstop during a 10-hour day, it worked 10 hours

Utilization rate in percentage = (10/10)×100%

= 100%