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3 years ago

Which of the following is a composite number? 61 , 13 , 63 , 31

Mathematics

1 answer:

Jet001 [13]3 years ago

4 0

It's 63, all the others are prime numbers.

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Bond [772]

Answer:

The time that the rocket will hit the ground will be:

x = 17.40 seconds

Step-by-step explanation:

Given the expression

$f\left(x\right)\:=-16x^2+272x+110$

Here:

x represents the time in seconds

y represents the height of the rocket

We know that when the rocket will hit the ground, the height will get y = 0

i.e.

$0\:=-16x^2+272x+110$

solving for x to determine the time that the rocket takes when it will hit the ground.

$-16x^2+272x+110=0$

subtract 110 from both sides

$-16x^2+272x+110-110=0-110$

$-16x^2+272x=-110$

Divide both sides by -16

$\frac{-16x^2+272x}{-16}=\frac{-110}{-16}$

$x^2-17x=\frac{55}{8}$

$\mathrm{Add\:}\left(-\frac{17}{2}\right)^2\mathrm{\:to\:both\:sides}$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{55}{8}+\left(-\frac{17}{2}\right)^2$

$x^2-17x+\left(-\frac{17}{2}\right)^2=\frac{633}{8}$

$\left(x-\frac{17}{2}\right)^2=\frac{633}{8}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{17}{2}=\sqrt{\frac{633}{8}}$

$x=\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = 17.40 seconds

also solving

$x-\frac{17}{2}=-\sqrt{\frac{633}{8}}$

$x=-\frac{\sqrt{1266}}{4}+\frac{17}{2}$

x = -0.40 seconds

As time can not be negative.

Thus, the value of x = 17.40 seconds

Therefore, the time that the rocket will hit the ground will be:

x = 17.40 seconds

4 0

3 years ago

Nathan is making a beaded bracelet. For every 5 red beads, there are 3 white beads.what is the ratio of red to white beads

Gnesinka [82]

5:3 or 5/3

I hope this helped!

3 0

3 years ago

Jackie bought a circular rug to place on the floor in her bathroom. The rug has a diameter of 6 feet. What is the area of the ru

Genrish500 [490]

Hey!
The area of the circle would be 28.26 feet squared

Lets break it down:

The formula for the area is pi×radius×radius
We have the diameter, so to find the radius, we need to divide the diameter by 2. 6÷2=3
Now that we have the radius, wr can plug in our numbers: 3.14×3×3= the area, or 28.26 feet sq.

Hope this helps!

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3 years ago

In earn 5 coins

nevsk [136]

Answer:

Step-by-step explanation:

The -5 is how man cans of soda are taken away from the vending machine. Either something bought them or the can may have broke

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3 years ago

lara [203]

Preston have to get some correct and some incorrect answers.

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