MATHEMATICS HIGH SCHOOL

The expression b/c=b/c is an example of a(n)?

Answers

Answer 1

Answer:

Answer:

$(b)/(c) =(b)/(c)$

bc=cb

It is an example of commutative property.

Step-by-step explanation:

The given expression

$(b)/(c) =(b)/(c)$

By cross multiplying we can write given expression as

$b* c=c* b$

Commutative property: commutative property states that order does not matter.

In addition , commutative property

a+b=b+a

In multiplication , commutative property

$a* b = b* a$

We can write commutative property in multiplication

ab=ba

Therefore, by using commutative property then we get

bc=cb

Hence, the given expression is an example of commutative property.

Answer 2

Answer: it is a example of commutative property is commutative property you change the order not the result

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Solve the equation for y: w- 302 4y-12

Answers

the equation (y-3)^2 =4y-12

y = -7

At a hot dog stand, they serve regular and footlong hot dogs at a ratio of 3 to 2. Based on this ratio,how many footlong hot dogs will be served if there are a total of 80 hot dogs served

Answers

Answer:

32 foot-long hot dogs will be served

Step-by-step explanation:

The total number of "ratio units" is 3+2 = 5. If 5 units stand for 80 hot dogs, then each ratio unit represents 80/5 = 16 hot dogs.

The number of foot-long hot dogs that will be served is 2×16 = 32.

a small business employs 6 women and 4 men. the manager randomly selects 3 of them to be on a team. what is the probability that all 3 are women

Answers

1/6 but it says that you need 20 characters to explain it but just trust me

1/6 (apex answer aswell)

Write the equation of a line that isparallel to y = 3x – 2 and
passes through the point (3, 2).

Answers

Answer:

Y= 3x-7

Step-by-step explanation:

Since the line is parallel , the slope is same i.e. 3 .

now the equation should be y= Mx + b where m is the slope and c is the y-intercept

plugging the value of m=3 and ( 3,2) into the equation

2= 3(3) + c

2= 9+ c

c= -7

hence the equation of the line is y=3x-7

Help solve mathematics question, please. Photo.

Answers

Well there is actually 2 answers because the first one ( -5,0 ) Will work,.... And also the ( 0,-5 ) Also goes hand and hand with what the equation is asking. :) Give that a try. If you think otherwise stick with your gut feeling :)

The problems are in the attached files.

The vertical height v, in feet, of a snowboarder jumping off of an overhang can be modeled by the function h(t)=15-10t-16t^2, where 15 is the initial height (in feet) of the overhang, -10 is the initial vertical velocity (in feet per second), and t is the time (in seconds). How long does it take the snowboarder to land after jumping off the overhang?"

Answers

Step-by-step explanation:

It is given that, the vertical height v, in feet, of a snowboarder jumping off of an overhang can be modeled by the function as :

$h(t)=15-10t-16t^2$

Where

15 is the initial height of the overhang

-10 is the initial vertical velocity

t is in second

We need to find the time taken by the snowboarder to land after jumping off the overhang. At this condition,

h(t) = 0

So, $15-10t-16t^2=0$

On solving above equation using online calculator, we get the value of t = 0.705 seconds. So, the time taken by the snowboarder to land after jumping off the overhang is 0.705 seconds.

I don't know for sure, but I think there might be an error in the way you copied your function. In all of my dealings with these types of problems, I have learned the formula to be h(t) = 15 + 10t - 16t^2. Notice the plus in front of the "10t". This is due to the fact that if he pushes off of the overhang he would have an upward force of 10 feet per second as soon as his feet left the ground. The only thing pulling him back to Earth is gravity, modeled by the "-16t^2". This is derived from a bit of slightly advanced physics involving the gravitational constant, but let's work under my formula for a second...

Either way, we will wind up using the Quadratic Formula (or possibly factoring if the numbers are easy enough to work with). So let's start.

h(t)= 15 +10t - 16t^2

In order to use the QF or factoring I will need to make h(t)=0. Simply done by:

0= 15 +10t -16t^2

Looking at the numbers, I'd prefer to use the QF so here it is:

$x= \frac{-b + or - \sqrt{b^(2)-4ac } }{2a}$

I know that my answer will need to be positive since you can't have a negative value when dealing with time, so I will eliminate the positive sign from the "+or-" part leaving me with:

$x= \frac{-b -\sqrt{b^(2)-4ac } }{2a}$

And I know that a= -16, b= 10, and c=15. So all that's left to do is substitute and solve.

$x= \frac{-10 -\sqrt{-16^(2)-4*-16*15 } }{2*-16}$

There's a decent amount of math that would be difficult and sloppy for me to do over the computer, but all you need to do is solve the rest of the equation and you would get your answer.

Exact answer: $(5-4 √(15) )/(8)$ or rounded answer: ≈1.31 seconds.

Hope this helps!
NoThisIsPatrick

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