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bija089 [108]
3 years ago
10

After your first semester of college is over, you discover that the math department has changed textbooks (again) so the booksto

re won't buy back your nearly-new book. You and your friend Amber decide to get creative. You go to the roof of a twelve-story building and look over the edge to the reflecting pool 160 feet below. You drop your book over the edge at the same instant that Amber chucks her book straight down at 48 ft/s. By how many seconds does her book beat yours into the water?
Mathematics
2 answers:
Tanya [424]3 years ago
8 0

Answer:

The book of amber will reach the pool 6.78 seconds before the other

Step-by-step explanation:

common sense

statuscvo [17]3 years ago
3 0

Answer:

about 2 or 3

Step-by-step explanation:

heres what u do go onlie and put the books up for sale.

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What would be the equation to you have a part time job. You work for 3h on Friday and 6h on Saturday. You also recieve an allowa
HACTEHA [7]

Answer:

Step-by-step explanation:

So, to go about your question, we must first ask, how many hours a week is being worked?

In this problem, that is 9 hours per week.

Next, we must question how much per week is made

That is $92 per week

Finally, we must determine if the allowance is occuring many times in the week or just once.

In this problem, that is only occuring once for the week.

So, the equation we must setup is 9x +20 =92.

To solve the equation, we need to subtract 20 on both sides to isolate the variable, x.

9x+20=92

     -20     -20

Now our equation is

9x=72

Now, to finally get x by itself or to isolate x, you should divide 9 on both sides to cancel out the 9 being multiplied by the x.

<u>9x</u>=<u>72</u>

9     9

x=8 because of 72/9 is equal to 8.

I hope this helps, and I will answer any questions you have.

5 0
2 years ago
If two 10-sided number cubes are rolled, which of the following sample space tools should be used to best show all of the outcom
yanalaym [24]

Answer:

A table

Step-by-step explanation:

you can start with one and have all the numbers that can land with one than two then three etc.

123

1 1 1

222

333

444

555

666

.........

8 0
3 years ago
What is 3 divided by what equals 36
Vedmedyk [2.9K]
3/x=36

Multiply both sides by x
3=36x

Then divide both sides by 36
3/36=x
1/12=x

Final answer: 1/12
6 0
3 years ago
Rewrite the equation in Ax+By=C form <br><br> use integers for A,B, and C. <br><br> Y+5=2(x+4)
Contact [7]

Answer:

2x4y=2... hope this helps.

8 0
3 years ago
A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32
olga2289 [7]

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

       32*t = 32

            t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

4 0
3 years ago
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