-4 2/3 times (-1 1/2)
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This doesn't seem like a academic question. The teacher is simply asking you how if you understand slope and graph of a line. Answer this of your own.

Answer:

The cannonball lands at approximately 5.093 unit distance from the point of fire

Step-by-step explanation:

The given parameters are;

The arc denoting the equation of motion of the cannon is y₁ = -0.5·x² + 2.5·x + 1

The slope of the field where in the direction the cannon is fired is y₂ = 1.5·x

The points where the cannonball land on the slopping field is given as rightly pointed by equating the two equations, the cannonball path path and the field path as follows;

At the point of contact of the cannonball and the field, the y-values of both equation will be equal

y₁ = y₂

∴ -0.5·x² + 2.5·x + 1 = 0.15·x

Which gives;

-0.5·x² + 2.5·x - 0.15·x + 1 = 0

-0.5·x² + 2.35·x + 1 = 0

-(-0.5·x² + 2.35·x + 1) = 0.5·x² - 2.35·x - 1 = 0

0.5·x² - 2.35·x - 1 = 0

The above equation is in the general form of a quadratic equation, which is given as follows;

a·x² + b·x + c = 0

By the quadratic equation, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

Plugging in the values, gives;

[tex]x = \dfrac{2.35\pm \sqrt{(2.35)^{2}-4\cdot (0.5)\times (-1)}}{2\cdot (0.5)} = \dfrac{2.35\pm \sqrt{7.5225}}{1} =2.35 \pm \sqrt{7.5225}[/tex]

∴ x ≈ 5.093 or x ≈ -0.393

Therefore, the cannonball will takeoff at x ≈ -0.393 and land at x ≈ 5.093

The height from which they fire the cannon is given by the substituting the value of x ≈ -0.393 into the equation for the path of the cannonball, to give;

[tex]y_{(initial)}[/tex] = -0.5·(-0.393)² + 2.5·(-0.393) + 1 = -0.0597

[tex]y_{(initial)}[/tex] ≈ -0.0597.

However, the actual initial height from which the cannonball is fired given by placing x = 0, which gives y = 1, which is the reason for the other (negative) value for x. Please see the attached graph created with Microsoft Excel.

Answer:

So i found the teacher notes after hours of looking here are the exact answers so i would recommend changing the wording.

Part A: Ordered pairs in the form (mb, kmh): (1,000, 100) and (960,180) Let X be the barometric pressure and Y be the wind speed.

Slope= (180-100)

          ----------------    = -2

          (960-1000)

Formula: y=-2(x-1000)+100

Part B: y=-2(980-1000)+100=140

140 kmh is reasonable. Because 980 mb is halfway between 960 mb and 1000 mb, we should expect a wind speed halfway between 180 kmh and 100 kmh.

Part C: The wind speed intercept is (0,2100) [or (2100,0) if written that way.] This means that when brometric pressure is 0 mb, then the wind speed would be 2100 kmh. However in the context of real weather, this is an impossible situation.

Part D: The slope means that every decrease of 2 kmh in wind speed corresponds to a 1 mb increase in barometric pressure.

hoped this helped :)

Answer: 82

Step-by-step explanation:

You add them all

Answer: The answer is C and D

Step-by-step explanation:

Answer:

a= -5/8

b= -4/7

c= -2/5

Step-by-step explanation:

8a + 5 = 7b + 4 =5c + 2

I'm not sure what you want with this incomplete question, but I assume it's to find the values of a, b, and c.

Therefore, to find the value of a,

8a+5=0

8a= - 5

a= -5/8

7b + 4=0

7b = - 4

b= -4/7

5c + 2=0

5c= - 2

c= -2/5

Therefore, the values of a, b, and c are -5/8, -4/7 and -2/5

Answer:

x=-20

Step-by-step explanation:

x+8−8=−12−8

x=−20

Answer:

The answer is -20

Step-by-step explanation:

X+8=-12

 You subtract 8 from the left the the right side of the equal sign.

This leaves: X=-20

The reason is, when you subtract a negitive from a negitive you add them together given that they have the same + or - sign. In this case, they are both negitive.

12+8 equals 20

But because it's negive you have to add them together.

Answer:

0.025 $/in.

The store bought 300 ft of rope.

1 ft = 12 in.

300 ft * 12 in./ft = 3600 in.

The store bought 3600 inches of rope.

The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.

($1.60)/(40 in.) = $0.04/in.

The store sells the rope at a price of $0.04 per inch.

The store sold all the rope at $0.04/in.

3600 in. * $0.04/in. = $144

The store sold all the rope for $144.

The profit was $54 for selling ll the rope.

$144 - $54 = $90

The bought the rope for $90.

The cost is dollars per inch is

($90)/(3600 in.) = 0.025 $/in.

Step-by-step explanation:

The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).

In this case, the slope is given as 0.08.

Interpreting the slope:

A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.

This indicates a linear relationship between the quantity of rope sold and the selling price.

In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

Learn more about Slope here:

https://brainly.com/question/3605446

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Answer:

90.6

Step-by-step explanation:

that what i think and thanks

Answer:

yes pls my life is boring

Step-by-step explanation:

Answer:

vertical line

Step-by-step explanation:

If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function.

Answer:

the answer is b

Step-by-step explanation

Answer:

x^4n^4

Step-by-step explanation:

Answer:

[tex]n^{4} x^{4}[/tex]  

I really hope this helps!

9514 1404 393

Answer:

Step-by-step explanation:

The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...

  Ra . . . where a = m

  Rb . . . where b = n

Answer:

hope this pic helps enjoy

Answer:

25t+95 or 5(5t + 19)

Step-by-step explanation:

The total of the sound fee = $25

The total of the rental fee = $95

Write is as an equation and you can get 25t + 95 or 5(5t + 19)

Answer:

4

Step-by-step explanation:

8/12 simplifies to 4/6. so x needs to be 4 for it to work

Answer:

It is ( D )

Step-by-step explanation:

Have a good day

???

soooo..........whats ur question

Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.

Step-by-step explanation:

Given: Quantities of dry ingredients for cake:

2 cups of flour, [tex]\dfrac32[/tex] cups of sugar, and [tex]\dfrac34[/tex] cup of cocoa.

Total cups of ingredients used = [tex]2+\dfrac32+\dfrac34[/tex]

[tex]\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}[/tex]

Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.

Answer:

71 miles in 1 hour

Step-by-step explanation:

divide the total amount of miles by the total amount of hours: 335/5

you get 71 mph

Answer:

71 miles per hour

Step-by-step explanation:

355 divided by 5 is 71

71 x 5 = 355

355 divided by 71 is 5

Answer:

24/27=8/9

Step-by-step explanation:

Answer: 1,285, 1,282, 1,278

Step-by-step explanation:

Answer:

1,285, 1,282, 1,278

Step-by-step explanation:

Answer:

find actual dimensions from scale models, ... \begin{align*}\frac{2}{3}\end{align*}, 2:3, and "2 to 3" are ratios. ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. ... Color, Highlighted Text, Notes ...

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

Answer: what ever is -10 1/2

Step-by-step explanation:

Because its the lowest negative there and yea!

Answer:

-4 1/2 because that's the lowest number

Answer:

10%

Step-by-step explanation:

10% i think

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

Answer:

probably A

Step-by-step explanation: