MATHEMATICS MIDDLE SCHOOL

Is 2x=x+x+x+1 a linear equation explain

Answers

Answer 1

Answer:

Yes.

It simplifies to 2x=3x+1

-x=1

x=-1

That is a horizontal straight line at -1

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a juggler throws a ball into the air, releasing it 5 feet above ground with an initial velocity if 15 fps. she catches the ball in thr other hand 5 feet above the ground. How long was the ball in the air?

Answers

Final answer:

The juggled ball was in the air for roughly 0.94 seconds. Using the principles of projectile motion and gravity, you calculate the time for the ball to rise to its peak and then double this value to get the total time the ball is in the air as it follows the same path back down.

Explanation:

The question is about determining the time a juggled ball stays in the air when thrown up at a particular speed and height. The principles of projectile motion and gravity apply here. The time taken for the ball to rise and fall back to the same height can be found using the physics concept of free fall. While the ball is in the air, it rises and then falls to a final position which is equal to its starting altitude. This is because the ball is thrown and caught at the same height.

From the facts we have, the initial vertical speed is 15 fps (feet per second). Since the acceleration due to gravity is -9.8 m/s² or approximately -32.2 fps² (note that it is negative as it is acting downward), we can use the following equation of motion which is derived from Newton's second law:

final velocity = initial velocity + (acceleration x time)

In this case, the final velocity when the ball reaches the peak of its flight is 0 (since it stops for a moment before falling again), and the acceleration is -32.2 fps². If we rearrange the equation to solve for time (t), we get:

t = (Final velocity - Initial velocity) / acceleration. Substituting the values we get:

t = (0 - 15) / -32.2 = 0.47 s

This is the time taken for the ball to go up. However, the ball takes the same amount of time to come down, so we multiply this by 2 to get the total time the ball is in the air:

Total time = 0.47 x 2 = 0.94 seconds, approximately.

So, the ball was in the air for roughly 0.94 seconds.

Learn more about Projectile Motion here:

brainly.com/question/29545516

#SPJ2

Problems of this sort are frequently found in physics. If you study calculus or physics you'll learn how to create the equation representing the velocity of an object in flight.

Here, you don't need to calculate velocity, but rather time. Start with this equation:

v = v0 + a t^2, where v is the velocity at time t, v0 is the initial velocity, a is the acceleration due to gravity (denoted by g instead of a), and t is the elapsed time.

You are told that v0 is 15 ft/sec. Set v = to 0, as the ball stops moving for the tiniest instant at the top of its trajectory. Use g = - 32 ft (per second squared).

Then 0 = 15 ft/sec - 32 [ft/(seconds squared)] t.

Solve this for t. This is the time required for the ball to come to a complete stop at the top of its trajectory.

Finally, multiply this time by 2, since the ball begins to fall and returns to its original height.

carlos had 24 class play tickets to sell. he sold 3/4 of the tickets. how many tickets did carlos sell

Answers

18 because 4 x 6 is 24 so you would multiply 3 x 6 and get 18

Carlos sold 18 tickets because

The answer is 18 but let me explain why that is. First of all let's assume (because it's true) that 3/4 is the same as saying 3/4 of one which is the same as saying 3/4 x 1 the answer then to that is 3/4 (go figure) so then using this logic we can say that 3/4 of 24 is the same as 3/4 x 24, which is an easy expression to evaluate if you have a calculator, but what if you don't, then what? Then you have to evaluate, 3/4 x 24 is the same as saying 3 x 24 = 72, then taking 72 and dividing by 4 which will give you 18, the answer. So I hope you can see the connection here, again if we have 3/4 of one we know that's the same as 3/4 x 1 which is equal to 1 x 3 = 3 then divided by 4 which is 3 divided by 4 which is the same as, you guessed, 3/4. Hope that helps, good luck with math in the future.

reason abstractly: the formula F= 1.8C+32 allows you to find the Fahrenheit (F) temperature for a given Celsius (C) temperature. Solve the equation for C to produce a formula for finding the Celsius temperature for a given Fahrenheit temperature

Answers

F = C + 32
converted is
C = F - 32

Because
F = C + 32
F - 32 = C + 32 - 32
F - 32 = C

it looks like a very hard question but try asking your teacher tommorrrow

Pythagorean triples are given by the formula x^2-y^2, 2xy, and x^2+y^2. Use the formulas for the Pythagorean triples to find a right triangle with leg lengths of 16 and an odd number. Show all of your work for full credit.

Answers

Answer:

Let the unknown length be x

We have a formula to find the triplet of a right angle triangle

Put the given length equal to all three terms in the triplet

$2m,m^2-1,m^2+1$

put 16 equal to all above three but number comes out has to be integer.

$2m=16$

$\Rightarrow m=8$

Now, $m^2-1=16$

$m^2=17$ will not give integer.

And now, $m^2+1=16$

$m^2=15$ will not get integer value

Hence, the value of m will be 8

And substituting the value in the triplet formula we get

$2m=2\cdot 8=16$ which is given.

$m^2-1=64-1=63$ the other leg and is odd.

And $m^2+1=64+1=65$ the hypotenuse or the longest side.

Hence, 16,63 and 65 will form a right triangle

Pythagoras theorem is:

$\text{one side}^2+\text{other side}^2=hypotenuse^2$

Here, 16 and 63 are sides or legs and 65 is the hypotenuse.

When sara got to the store they sold water in gallon containers how many gallons should she buy?

Answers

Answer:

It depends how much water she would like to buy!

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, it all depends how much water she would like to buy! ^u^

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Please, please give brainliest, it would be greatly appreciated, I only need one more before I advance, thanks!

What is 1/4 of 24 solve using a tape diagram

Answers

Draw the tape diagram: a long rectangle and divide it into 4 squares in a row.
The whole rectangle represents 24 (as a whole number), you're dividing it into 4 parts because you want to know what is 1/4 of it.
Now, to find the value of each square: 24:4 = 6.
Put the number 6 in each square, and you have found your result.
1/4 of 24 is 6.

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