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vazorg [7]
2 years ago
5

The value, V(m), of a comic book m must be months after publication has an average rate of change of -0.04 between m=36 and m=60

. Which statement must be true?
A) The value of the comic book decreased by a total of $0.04 between m=36 and m=60

B) The value of the comic book increased by a total of $0.04 between m=36 and m=60

C) The value of the comic book decreased by an average of $0.04 each month between m=36 and m=60

D) The value of the comic book increased by an average of $0.04 each month between m=36 and m=60
Mathematics
1 answer:
Svet_ta [14]2 years ago
7 0

Answer:

A

Step-by-step explanation:

The average is over the months not added each month

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You are looking out your window in a skyscraper, and again your window is at a height of 450 feet above the ground. This time, h
jarptica [38.1K]

Answer:

The tomato fell from 1027.2ft

Step-by-step explanation:

Parameters given:

Height from window = 450ft

Time taken to get from window to ground = 2 secs

V0, initial speed of tomato from drop point = 0 ft/s

Acceleration due to gravity = 32.2 ft/s^2

When the tomato gets to the observer at the window, its initial speed is no longer 0ft/s but an unknown value, u.

We can apply one of the equations of linear motion to then find this initial velocity at the window using the other parameters given i.e.  

s = ut + 1/2 at2^2

s = 450ft

t = 2 secs

a = g = 32.2ft/sec2^2

=> 450 = (u*2) + (1/2 * 32.2 * 2^2)

450 = 2u + 64.4

2u = 450 – 64.4

2u = 385.6

=> u = 192.8ft/s

Now that we know this initial velocity, we can use another equation of linear motion to find the height distance between the drop point and the window ,

v^2 - u^2 = 2gs

where s = distance between drop point and window

v = 192.8ft/s

u = 0ft/s;

=> 192.8^2 - 0^2 = 2*32.2*s

37171.84 = 64.4s

=> s = 37171.84/64.4

s = 577.20ft

Hence, distance from drop point to the ground, H, will be the addition of s and the height from the window to the ground:

=>H = 577.20 + 450

H = 1027.2ft

8 0
2 years ago
Read 2 more answers
Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe
Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

h(t) = 11\cdot \cos (12\cdot t)

Where:

t - Time, measured in seconds.

h(t) - Height with respect to centre, measured in metres.

If \cos (12\cdot t) = -1, then:

h_{min} = 11\cdot (-1)

h_{min} = -11\,m

Alice reaches 11 metres below the centre as lowest height.

7 0
2 years ago
Quadrilaterals WXYZ and BADC are congruent. In addition, WX ≅ DC and XY ≅ BC. If AD = 4 cm and AB = 6 cm, what is the perimeter
Yanka [14]

If <u>quadrilaterals</u> WXYZ and BADC are <u>congruent</u>, then their corresponding <u>sides</u> are congruent.

Given that

  • WX≅DC,
  • XY≅BC,

you can state that

  • YZ≅AB,
  • WZ≅AD.

If AD = 4 cm and AB = 6 cm, then WZ = 4 cm and YZ = 6 cm. Opposite rectangle sides are congruent, then XY = 4 cm and WX = 6 cm.

The perimeter of WXYZ is

P = WX + XY + YZ + WZ = 6 + 4 + 6 + 4 = 20 cm.

Answer: 20 cm

6 0
2 years ago
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in the figure below line de is parallel to line f g with a transversal AG write and solve a system of liner equation to determin
Kay [80]
The complete question in the attached figure

we know that

angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°

the answer is
x=147°
y=33°

7 0
2 years ago
Tickets to a school dance are sold for $10 each. The student council spent a total of $400 on set-up costs for the dance. The sc
svlad2 [7]

Answer:

P(t) = 10t - 400

Step-by-step explanation:

Selling price of each ticket = $10

Cost of setting up the dance= $400

Profit = Revenue - cost

Revenue = price × quantity

Revenue that will maximize profit = 10t

where t= quantity of tickets that maximises profits

Cost = $400

Profit(t) = Revenue - cost

P(t)= 10t - 400

8 0
2 years ago
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