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kati45 [8]
3 years ago
10

If you bought a set of markers for $2.85 and paid for it with a 5 dollar bill, how much change would you receive?​

Mathematics
2 answers:
miss Akunina [59]3 years ago
4 0
3.15 dollar you gonna get back
Mazyrski [523]3 years ago
4 0

Answer:

You would get 2.15$ back.

Step-by-step explanation:

5$-2.85$=2.15$ left over from the original 5$

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Find the volume of the following<br> square pyramid.<br> 5 cm<br> 5 cm<br> 5 cm
yanalaym [24]

Answer:

41.7

Step-by-step explanation:

4 0
3 years ago
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.

6 0
2 years ago
Kayla filled a bucket with 4 gallons of Water , she dumped exactly 1.o34 gallons . How much water is left in the buckets ?
yKpoI14uk [10]
4 - 1.034 = 2.966
There would be 2.966 gallons of water left in the bucket.

I hope this helps!
4 0
3 years ago
Which is the approximate measure of angle Y? Use the law of sines to find the answer.
vitfil [10]
Siny/2.7=sin63/2.8

siny=2.7sin63/2.8

y=arcsin((2.7sin63)/2.8)

y≈59.23°  (to nearest one-hundredth of a degree)
8 0
3 years ago
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The reciprocal of 1/2
12345 [234]

Answer:

2

Step-by-step explanation:

When you "flip" the fraction, switching the numerators and denominators, you get 2/1 which is just 2.  

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3 years ago
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