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Anni [7]
3 years ago
15

What is the value of y in the equation, 5x+2y=20, when x=0.3

Mathematics
1 answer:
gregori [183]3 years ago
4 0

Answer:

y = -5/2x + 10

Step-by-step explanation:

Step one: Add -5x to both sides.

5x + 2y + -5x = 20 + -5x

2y = -5x + 20

Step two: Divide both sides by two.

2y/2 = -5x + 20/ 2

y = -5/2x + 10

Hope my answer help.

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A lacrosse player throws a ball into the air from a height of 6 feet with an initial vertical velocity of 64 feet per second. Wh
-Dominant- [34]

Answer:

Step-by-step explanation:

I'm going to use calculus to solve this, because it's the simplest way.  

The acceleration due to gravity in feet is the second derivative of the position function.  We will start with the acceleration and work backwards with antiderivatives to get to the position function.

a(t) = -32.  Going backwards and using the fact that the initial vertical velocity is 64 ft/sec, our velocity function is

v(t) = -32t + 64.  Going backwards and using the fact that the initial height of the ball is 6 feet, our position function is

s(t)=-16t^2+64t+6

The first part of this question asks us the maximum height of the ball.  From Physics, we learn that the maximum height of a projectile is reached when the velocity is 0, which happens to be right where the projectile stops for a nanosecond in the air to turn around and come back down.  We set the velocity function equal to 0 and solve for t.

0 = -32t + 64 and

0 = -32(t - 2).  By the Zero Product Property, either -32 = 0 or t - 2 = 0.  It's obvious that -32 does not equal 0, so t - 2 must equal 0.  Solving this for t:

t - 2 = 0 so

t = 2 seconds.  Since the maximum height is reached at a time of 2 seconds, we plug 2 seconds into the position function to get its position at 2 seconds (which is also the max height of the ball).

s(2)=-16(2)^2+64(2)+6 and

s(2) = -64 + 128 + 6 so

s(2) = 70 feet

Now we want to know when the ball will hit the ground.  "When" is a time value, and we know that the height of the ball on the ground is 0, so we sub in a 0 for s(t) and factor the quadratic.

Using the quadratic formula:

t=\frac{-64+/-\sqrt{4096-4(-16)(6)} }{-32} and

t=\frac{-64+/-\sqrt{4480} }{-32} which gives us the 2 solutions

t=\frac{-64+\sqrt{4480} }{-32} and

t=\frac{-64-\sqrt{4480} }{-32}

Plugging into your calculator, the first t = -.0916500 and the second t = 4.091

We all know that time cannot ever be negative, so our t value is 4.09.

Again, from Physics, we know that a projectile reaches it max height at halfway through its travels, so it just goes to follow logically that if it halfway through its travels at 2 seconds, then it will hit the ground at 4 seconds.  And it does!! How awesome is that?!

4 0
3 years ago
What is the simplified form of 4 X ? 3 + 7?
tia_tia [17]

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

6 0
3 years ago
2. Tania went to Italy. She changed £325 into euros (€). The exchange rate was £1 = €1.68 (a) Change £325 into euros (E). ​
aalyn [17]

Answer:

£325 is €546

Step-by-step explanation:

325 times 1.68 is 546

7 0
2 years ago
HELP ME PLZZZZZZZ!!!!!
laiz [17]

The answer is A because the input is x and the out put is y so that would make it 9.

5 0
3 years ago
What type of angle is angle R?<br><br> A. obtuse<br> B. right<br> C. straight<br> D. acute
Viktor [21]

Answer:

A. Obtuse

Step-by-step explanation:

Angle R is greater than 90°.

6 0
2 years ago
Read 2 more answers
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