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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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3. Sophia starts a job at a restaurant. She
erastova [34]

Answer:

Step-by-step explanation:

x_0=0

x_1 =  $40

so delta change is $40.  Now we can write the equation as

y = 40x, where y is the total saving account amount.

So after the 6th deposit, her total saving is $240.

y = 40(6) => 240

7 0
3 years ago
In 2015 a publishing company ordered 50,000 reams of paper. The next year they ordered 65,000 reams of paper. By what percent di
nordsb [41]

Answer:

33.3333...

Step-by-step explanation:

50000 ÷ 15000, which is the increase = 0.3333333

Times by 100 for percent

8 0
3 years ago
The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate
Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}

Volume of cone =

V = \dfrac{1}{3}\pi r^2 h

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})

Putting values, we get,

\dfrac{dV}{dt} = \dfrac{\pi}{3}(2(6)(12)(9) + (6)^2(12))\\\\\dfrac{dV}{dt} =1808.64\text{ cubic cm per second}

Thus, the volume of cone is increasing at a rate 1808.64 cubic cm per second.

5 0
3 years ago
What is the answer and how do I solve it?
vichka [17]
The lengths of the rectangles are 7 and 12 respectively.  Form the ratio 7/12.  The widths of the rects. are x and 5 respectively.  Form the ratio x/5.  Now equate these two ratios:

7       x
--- = ---
12     5

Solve this for x.  One way to do this would be to cross-multiply, obtaining 12x = 35, and solving this result for x.  x will be a fraction.  Write the numerator and denominator in the boxes given.
4 0
3 years ago
Mark save $258 more than Neil. In fact Mark saved $7 for every $4 Neil saved. How much money did Mark say?
olasank [31]

Let

x---------> amount of money saved by Mark

x---------> amount of money saved by Neil


we know that

x=y+258-------> equation 1

x/y=(7/4)-------> equation 2

substitute equation 1 in equation 2

(y+258) /y=7/4--------> 4*(y+258)=7*y------> 4y+1032=7y

7y-4y=1032--------> 3y=1032------> y=$344

x=344+258------>x=$602


the answer is

$602

6 0
3 years ago
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