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2 years ago

Explain what can happen if you line up the digits incorrectly when you rewrite addition problems

1 answer:

6 0

You will get the incorrect answer because lining up the digits when adding or subtracting is important but it isn’t needed for multiplying.

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A projectile is fired with muzzle speed 220 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe

Allushta [10]

Answer:

4968.6 m from where it was fired
221.33 m/s

Step-by-step explanation:

For the purpose of this problem, we assume ballistic motion over a stationary flat Earth under the influence of gravity, with no air resistance.

We can divide the motion into two components, one vertical and one horizontal. For muzzle speed s and launch angle θ, the horizontal speed is presumed constant at s·cos(θ). The initial vertical speed is then s·sin(θ) and the (x, y) coordinates as a function of time are ...

(x, y) = (s·cos(θ)·t, -4.9t² +s·sin(θ)·t + h₀) . . . . . where h₀ is the initial height

To find the range, we can solve the equation y=0 for t, and use this value of t to find x.

Using the quadratic formula, we find t at the time of landing to be ...

t = (-s·sin(θ) - √((s·sin(θ))²-4(-4.9)(h₀)))/(2(-4.9))

t = (s/9.8)(sin(θ) +√(sin(θ)² +19.6h₀/s²))

For s = 220, θ = 45°, and h₀ = 30, the time of flight is ...

t ≈ 31.939 seconds

Then the horizontal travel is

x = 220·cos(45°)·31.939 ≈ 4968.6 . . . . meters

As it happens, the value under the radical in the above expression for time, when multiplied by s, is the vertical speed at landing. The horizontal speed remains s·cos(θ), so the resultant speed is the Pythagorean sum of these:

landing speed = s·√(cos(θ)² +sin(θ)² +19.6h₀/s²) ≈ s√(1 +0.012149)

≈ 221.33 m/s

_____

Note that the landing speed represents the speed the projectile has as a consequence of the potential energy of its initial height being converted to kinetic energy that adds to the kinetic energy due to its initial muzzle velocity.

6 0

2 years ago

20 POINTSSSS

SVEN [57.7K]

Answer:

Really

Step-by-step explanation:

8 0

2 years ago

Find the solutions to the system; y=x^2-3x-1 and y=8x-1

PSYCHO15rus [73]

${x}^{2} - 3x - 1 = 8x - 1 \\ {x}^{2} - 11x = 0 \\ x(x - 11) \\ x = 0 \: or \: x = 11$

When x = 0,
$y = 8x - 1 \\ y = 0 - 1 \\ y = - 1$

When x = 11
$y = 8(11) - 1 \\ y = 87$
x = 0, y = - 1
x = 11, y = 87

Answer is B.

Hope this helps. - M

8 0

2 years ago

Starlight tree farms sells douglas firs and noble first one December they sold 139 more douglas first than noble firs the total

Aloiza [94]

Part A:

Given that Starlight tree farms sells Douglas Firs and Noble First.

Let n be the number of Noble Fir trees sold, then if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.

Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377

Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.

Part B:

Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.

Subtracting 275 from both sides of the equation gives:

 $55h+275-275=440-275 \\ \\ \Rightarrow55h=165$

Dividing both sides by 55 gives:

 $\frac{55h}{55} = \frac{165}{55} \\ \\ \Rightarrow h=3$

Therefore, the time it will take you to reach your destination is 3 hours.

6 0

2 years ago

Which is the zero of the function f(x)=(x+3) (2x-1)(x+2) ?

Scrat [10]

Answer:

x= -3 x = 1/2 x=-2

Step-by-step explanation:

f(x)=(x+3) (2x-1)(x+2)

Set equal to zero

0 =(x+3) (2x-1)(x+2)

Using the zero product property

x+3 =0 2x-1 =0 x+2 =0

x= -3 2x =1 x = -2

x= -3 x = 1/2 x=-2

6 0

2 years ago