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inn [45]
3 years ago
6

Please help with all part because I will brainliest plus 50 points!!

Mathematics
2 answers:
eimsori [14]3 years ago
8 0
(a) The height decreases by 12 feet each second towards the first floor
(b)
After 3 seconds, the elevator is 144 feet above the first floor
After 6 seconds, the elevator is 108 feet above the first floor
After 9 seconds, the elevator is 72 feet above the first floor
(c) It takes 15 seconds for the elevator to get to the first floor
(d) The basement floor is 48 feet below the first floor
Step-by-step explanation:
31 (a) explanation:
An elevator is 180 feet above the first floor.
Each second, it descends 12 feet.
So the elevator's change in height each second is a decrease of 12 feet towards the first floor.
31 (b) explanation:
If the elevator goes down 12 feet, towards the first floor, in 1 second then;
After 3 seconds it will be 180 feet - 3(12) feet = 144 feet above the first floor
After 6 seconds it will be 180 feet - 6(12) feet = 108 feet above the first floor
After 9 seconds it will be 180 feet - 9(12) feet = 72 feet above the first floor
31 (c) explanation:
If the elevator is 180 feet above the first floor and it takes 1 second to descend 12 feet,
Then it will take: × 1 second = 15 seconds reach the first floor.
31 (d) explanation:
From the first floor it takes 4 seconds to reach the basement floor
Therefore the basement floor is × 12 feet = 48 feet below the first floor
KonstantinChe [14]3 years ago
6 0

Answer:

sorry I can only answer b.

3 sec = 36 feet

6 sec = 72 feet

9 sec = 108 feet

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8 with a exponent of 2 +7
Lyrx [107]

Answer:

71

Step-by-step explanation:

8²=64

64+7=71

I hope this helps!

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2 years ago
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4 Stretch Your Thinking: Brian has some boxes of paper clips. Some boxes hold 10 clips and some boxes hold 100. He has some pape
rjkz [21]

Answer:02929

Step-by-step explanation:

Oofy

5 0
2 years ago
Marta invested $5, 425 in the stock market and earned 8.5% interest. How much money will Marta have in her account after one yea
Semenov [28]

Answer:

Future Value= $5,886.13

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,425

Number of periods (n)= 1 year

Interest rate (i)= 8.5% = 0.085

<u>To calculate the future value after one year, we need to use the following formula:</u>

<u></u>

FV= PV*(1+i)^n

FV= 5,425*(1.085^1)

FV= $5,886.13

6 0
3 years ago
Solve for x<br> 9 - x &lt; 17<br><br> btw the &lt; has the line underneath it!
Radda [10]

Answer:

Step-by-step explanation:

9 - x ≤17

At some point you are going to have to turn the equation around. This would not normally be your first step, but this time it is better to start with it.

We won't do it directly. The best way to do it is to add x to both sides before you do anything else. This is not the usual way to solve these equations, but it's a good time to learn.

Inequality Rule: you must always solve for x. If it is -x then you are going to have to make an adjustment to get the x to be positive.

9 - x ≤ 17                        Add x to both sides

9 - x+x ≤ 17 + x              Combine

9 ≤ 17 + x                      Subtract 17 from both sides.

9 - 17 ≤ 17 - 17 + x

8 ≤ x

Notice that you have effectively changed the ≤ sign around, not because you have, but because the x reads differently now. It started out 9 - x ≤ 17 and when you finish solving it you get 8 is less than or equal to x. Entirely different.

7 0
3 years ago
Given that the expression 2x^3 + mx^2 + nx + c leaves the same remainder when divided by x -2 or by x+1 I prove that m+n =-6
Alla [95]

Given:

The expression is:

2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1.

To prove:

m+n=-6

Solution:

Remainder theorem: If a polynomial P(x) is divided by (x-c), thent he remainder is P(c).

Let the given polynomial is:

P(x)=2x^3+mx^2+nx+c

It leaves the same remainder when divided by x -2 or by x+1. By using remainder theorem, we can say that

P(2)=P(-1)              ...(i)

Substituting x=-1 in the given polynomial.

P(-1)=2(-1)^3+m(-1)^2+n(-1)+c

P(-1)=-2+m-n+c

Substituting x=2 in the given polynomial.

P(2)=2(2)^3+m(2)^2+n(2)+c

P(2)=2(8)+m(4)+2n+c

P(2)=16+4m+2n+c

Now, substitute the values of P(2) and P(-1) in (i), we get

16+4m+2n+c=-2+m-n+c

16+4m+2n+c+2-m+n-c=0

18+3m+3n=0

3m+3n=-18

Divide both sides by 3.

\dfrac{3m+3n}{3}=\dfrac{-18}{3}

m+n=-6

Hence proved.

7 0
3 years ago
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