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Brilliant_brown [7]
3 years ago
15

les said that the quotient of 3.9÷0.75 is 0.52 explain how you know less incorrect without completing the division

Mathematics
2 answers:
natulia [17]3 years ago
4 0

well if we do the real math we see the answer is realy5.2 but you could also round the numbers like 3.9=4 and .75=.80 the divide and get 5 its up to u

Novay_Z [31]3 years ago
3 0

Answer:

3.9\div 0.75 = 5.2  

Step-by-step explanation:

Les performed the following division:

3.9\div 0.75

She said that the quotient is 0.52.

Les performed the division incorrectly. Because as it is clear the divisor which is 0.75 is smaller than the dividend 3.9.

Since,

\textbf{divisor $

It is pretty clear that the quotient will always be greater than 1.

If Les would have performed the division correctly, she would have obtained:

3.9\div 0.75 = 5.2

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17.
Marta_Voda [28]

Answer:

a) 50 meters

b) 2354 meters

c) 12 seconds

d) 24.13 seconds

Step-by-step explanation:

Hello!

<h3>a) How far is Lincoln above the ground when he shoots the gun?</h3>

We need to really understand what the variables represent in this question. Given that t is time, and h is height, the time at which he shoots the bullet will be 0, as the bullet hasn't started traveling yet. This means that we can solve for the original height of the bullet by plugging in 0 for time in the equation.

Equation: h = -16t^2 + 384t + 50

Plug in 0 for t:

  • h = -16t^2 + 384t + 50
  • h = -16(0)^2 + 384(0) + 50
  • h = 50

The height at which Lincoln shot the bullet is 50 meters.

We can also look at this graphically. The height of origin will simply be when the x-value (in this case t-value) is 0. That means it is the point at which the graph intersects the y-axis, known as the y-intercept.

Standard form of a Parabola: y = ax^2 + bx + c

The y-intercept is the "c" value.

Given our equation: h = -16t^2 + 384t + 50

The c-value is 50. This proves that the y-intercept is 50.

<h3 /><h3>b)How high does the bullet travel vertically relative to the ground?</h3>

We want to find the highest point of the graph. To do that, we can find the vertex.

We can utilize the Axis of Symmetry (AOS) to find the Vertex.

First, find the AOS using the formula: AOS = -\frac{b}{2a}

  • a = -16
  • b = 384

Plug it into the formula:

  • AOS = -\frac{b}{2a}
  • AOS = -\frac{384}{2(-16)}
  • AOS = \frac{384}{32}
  • AOS = 12

Plug in 12 for t in the equation:

  • h = -16t^2 + 384t + 50
  • h = -16(12)^2 + 384(12) + 50
  • h = -2304 + 4608 + 50
  • h = 2304+50
  • h = 2354

Therefore, the highest point of the bullet is 2354 meters.

<h3>c)How long does it take the bullet to reach its greatest height?</h3>

We answered this in the last question. The t-value when h is at its highest is 12.

<h3>d)After how many seconds (round to nearest 100th) does the bullet hit the ground?</h3>

We have to solve for the values of t when h is 0 (when it touches the ground).

Set the equation to 0, and solve using the quadratic formula.

Quadratic formula: x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}

  • x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}
  • x = \frac{-384\pm\sqrt{384^2 - 4(-16)(50)}}{2(-16)}
  • x = \frac{-384\pm\sqrt{147456 +3200}}{-32}
  • x = \frac{-384\pm\sqrt{150656}}{-32}
  • x = \frac{-384\pm388.14}{-32}
  • x = -\frac{4.14}{32}, x = \frac{772.14}{32}

We are only going to take the positive solution, as we can't have a negative time. The solution that doesn't work is called an extraneous solution.

  • x = \frac{772.14}{32}
  • x = 24.13

It takes approximately 24.13 seconds for the bullet to hit the ground.

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2 years ago
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Arturiano [62]
2/9 is 32/144 in simplest form
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3 years ago
Help?? Due tomorrow!!
krek1111 [17]
Just plot the points.  easssyyyyyyo
8 0
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You get in an elevator and go down 8 floors. You exit on the 9th floor. Write and solve an equation to find what floor you got o
AlexFokin [52]

Answer:floor 17

Step-by-step explanation:

6 0
3 years ago
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When is the substitution method a better method than graphing for solving a system of
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Answer:

Frankly, substitution is almost always a better method. Graphing is a very precise and time consuming process where you have to calculate several..

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