MATHEMATICS HIGH SCHOOL

Convert 324 centimeters to meters.

3.24 m
32.4 m
3,240 m
3,240 m

Answers

Answer 1
Answer: To convert from meters to centimeter you divide by 100
: . 324 cm to m = (324cm)/(100) =<span> 3.24m</span>

thus A

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Instructions: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).Consider the functions f(x)=x^2+9x and g(x)=1/x.
f(g(-1)) is
g(f(1/2)) is

Answers

Answer:

-8

2/19

Step-by-step explanation:

We must substitute x=-1 into g(x) and then the answer of g(x) we must substiute as x into f(x). Similarly we must substitute x=1/2 into f(x) and the answer as x into g(x):

1. x=-1 into g(x)

=1/-1=-1

substitute x=-1 into f(x)

=(-1)^2+9\cdot(-1)=-8

2. x=1/2 into f(x)

=(1/2)^2+9\cdot(1/2)=19/2

substitute x=19/2 into g(x)

=1/(11/2)=2/19
f(g(x))=1/x^2+9/x\Rightarrow f(g(-1))=-8

f(g(x))=1/(x^2+9x) \Rightarrow g(f(1/2))=4/19

Simplify the following expression
2x − 6y + 3x2 + 7y − 14x

Answers

2x - 6y + 3x² + 7y - 14y = 3x² + (2x - 14x) + (-6y + 7y) = 3x² - 12x + y

What is the answer to 1 plus 8

Answers

Answer:

9

Step-by-step explanation:

;-;

Answer:

the answer to your question is 9

Step-by-step explanation:

1+(1+1+1+1+1+1+1+1)=9

Water fills a tank at a rate of 150 litres during the first hour, 350 litres during the second, 550 litres during the third and so on. Find the number of hours necessary to fill a rectangular tank 16m x 7m x 7m.

Answers

Putting this as an arithmetic sequence gives:

u_n = 150+200(n-1)

The sum of the series = 16 x 7 x 7 = 784 m^3 = 784 000 L

The sum of an arithmetic series can be written as:

S_n=n/2 [2a+(n-1)d] = 784 000\nn/2[2(150)+(n-1)200] = 784 000\nn[300+200(n-1)=1 568 000\n300n+200n^2-200n = 1 568 000\n200n^2+100n- 1 568 000 = 0\n2n^2 +n- 15680 = 0\nn= 88.2...,-88.7

n has to be positive, so we get

n = 88.2 hours (3 s.f.)
Volume of tank = (16m)(7m)(7m) = 784 m³

Conversion of m³ to L:
(784 m³) × (1000L / 1m³) = 784,000 L

Rate in the 1st hour:
150 liters/hr

Rate in the 2nd hour:
350 liters/hr

Rate in the 3rd hour:
550 liters/hr

It is apparent that the Fill Rate is increasing by 200 liters/hr every subsequent hour . . . so that can be represented by the following equation

where:
t = number of hours

Fill rate (i.e. volume of water filled into tank within the specified hour) = 150 + 200(t - 1)

For t = 1 . . . Fill rate = 150 L/hr
For t = 2 . . . Fill rate = 350 L/hr
For t = 3 . . . Fill rate = 550 L/hr

Because after every hour there has been more water added to the tank, this problem can be represented as a geometric sequence in order to account for the compounding of the volume after each time step, but it can also be tabulated (which seems to me to be the more direct/simple approach), so I will build a table that accounts for the increasing Fill Rate and the compounding of water volume after each time step . . .

(see attached)

The answer (after all of this) is . . .  t = 88 hrs 17 1/2 mins (approx)

Is anyone taking Flvs Geometry?

Answers

Answer:

I am.

Step-by-step explanation:

Answer:

i'm not

i'm in 7th grade soo ya

Step-by-step explanation:

Helpppp
i need help quickly

Answers

Answer: 140?

I am not really sure but I think 140......
The answer is ————- 70
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