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Reptile [31]
3 years ago
13

Amanda is reading a book that has 125 pages. she has read 12 pages a day for 4 days in a row. how many more pages does amanda ha

ve left to read?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0
Total pages=125
Pages read in 1 day=12
Pages read in 4 days=4×12=48
Left pages to read=125-48=77 pages
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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, wh
olga55 [171]
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: \frac{5-4 \sqrt{15} }{8} or rounded answer: ≈1.31 seconds.

Hope this helps!
NoThisIsPatrick

7 0
3 years ago
Read 2 more answers
What weight of dry substance is in 50g of a 3% substance solution? What weight of an 8% solution can we have with the same weigh
Gnoma [55]

Answer:

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

8 0
3 years ago
Which terms in the following expression are like terms?
Alinara [238K]

9514 1404 393

Answer:

  (c)  5x and 3x, and 4 and 1

Step-by-step explanation:

Like terms have the same variable(s) to the same power(s).

The terms of this expression are ...

  • x^3: variable x, power 3
  • 5x: variable x, power 1
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The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.

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2 years ago
What is 4 whols and 4/5 divided by 4/5
Delicious77 [7]

Answer:

6

Step-by-step explanation:

24/5 / 4/5

24/5 / 5/4

24/4 is 6

5/5 is 1

hope this helps:)

6

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2 years ago
Which one is distributive property
faust18 [17]

Answer:

G

Step-by-step explanation:

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3 years ago
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