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77julia77 [94]
3 years ago
7

A archer releases an arrow with an initial velocity of 30 feet per second at a height of 3 feet. The path the arrow takes

Mathematics
2 answers:
Alekssandra [29.7K]3 years ago
7 0

Answer:1.97

Step-by-step explanation:

weeeeeb [17]3 years ago
5 0

Answer:

1.97

Step-by-step explanation:

The arrow will hit the ground when the height is 0. We need to solve the quadratic equation:

-16x^{2} +30x+3=0

Solving the quadratic equation gives two solutions −0.10 and 1.97 because we know the answer should be a positive number of seconds we can conclude that the object will hit the ground at 1.97 seconds.

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What is the slope of the line represented by the equation 4x+8y=4
Yuki888 [10]
Rearrange the formula so that its in the form of y=mx+b
so it would be:
8y= -4x + 4
then divide by 8:
y= -4/8 x + 4/8:
Simplify:

y= -1/2x + 1/2

the slope is -1/2

8 0
4 years ago
Read 2 more answers
Callie read for 4 hours last week. Luis read 6 times as long. Write an equation to show how long Luis read.
zysi [14]

Answer: 24

Step-by-step explanation:  Multiply 4 by 6 to get 24

7 0
3 years ago
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Point A is located at negative 5 over 8 and point B is located at negative 2 over 8. What is the distance between points A and B
ki77a [65]
<h2>Answer:</h2>

Option: A is the correct answer.

A.  negative 5 over 8 minus negative 2 over 8 = negative 3 over 8; therefore, the distance from A to B is absolute value of negative 3 over 8 equals 3 over 8 units.

<h2>Step-by-step explanation:</h2>

The location of Point A is : A(-5/8)

and Point B is located at : B(-2/8)

We know that when two points lie over a number line then the distance between the two points is the absolute difference between the two points.

If A is located at a.

and B is located at b.

Then the distance between A and B is given by:

             |a-b|

Hence, here the distance between A and B is given by:

|\dfrac{-5}{8}-(\dfrac{-2}{8})|=|\dfrac{-5}{8}+\dfrac{2}{8}|=|\dfrac{-3}{8}|=\dfrac{3}{8}\\\\i.e.\\\\\text{Distance between A and B is}=\dfrac{3}{8}\ \text{units}

8 0
3 years ago
Read 2 more answers
Carmen runs a video to DVD transfer business. She charges her customers $20.40 for each video transferred. Her expenses include
vovangra [49]

Answer:

A. p = $17.95n - $1,250.00

Step-by-step explanation:

Profit (p) = net revenue - expenditure

Net revenue = charge for transfer of n videos - expense for n blank DVD

charge per video transfer = $20.40

charge for n video transfer = $20.40 × n = $20.40n

expense per blank DVD = $2.45

expense for n blank DVD = $2.45 × n = $2.45n

Net revenue = $20.40n - $2.45n = $17.95n

expenditure = $1,250.00

Therefore, p = $17.95n - $1,250.00

6 0
3 years ago
A trimaran boat, with a top speed of 55 knots, won the tournament cup in 2010. Its top speed is 6 knots more than 3.5 times the
slavikrds [6]

Answer:

14 knots

Step-by-step explanation:

We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.

So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:

55 = 6 + (3.5 * m)

We can solve this by first subtracting 6 from both sides to get:

49 = 3.5 * m

Dividing both sides by 3.5 we get:

14 = m

That means that the top speed of the monohull in the 2007 tournament was 14 knots

4 0
3 years ago
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