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3 years ago

20,000 pounds equals how many English tons?

1 answer:

4 0

<span>2,000 pounds are a short ton also sometimes referred to as an English ton. Your 20,000 pounds are therefore 10 short tons. By contrast the Metric ton is 1,000 kg or 2,204 American pounds. 2000 pounds = 1 short ton 2240 pounds = 1 long ton</span>

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During a tournament, a batting cage can be used for $5.00 for 50 pitches. If all 192 players use the cage one time, how much mon

Fynjy0 [20]

First, we have to find the rate:
500/50
100/10
10/1
10 cents a pitch:
129 * 10 = 1290
It will cost $12.90

7 0

3 years ago

Is 0.102 less than 3/7

Bond [772]

it is less than

3/7 ⇒ 0.42857142857

3 0

3 years ago

Enter the coefficients of the fifth Taylor polynomial T5(x) for the function f(x) = x5−3x4+2x2+5x−2 based at b=1. T5(x)= + (x−1)

DENIUS [597]

Compute the necessary values/derivatives of $f(x)$ at $x=1$ :

$f(1)=3$

$f'(1)=2$

$f''(1)=-12$

$f'''(1)=-12$

$f^{(4)}(1)=48$

$f^{(5)}(1)=120$

Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) $f(x)$ at $x=1$ by

$T_5(x)=\dfrac3{0!}+\dfrac2{1!}(x-1)-\dfrac{12}{2!}(x-1)^2-\dfrac{12}{3!}(x-1)^3+\dfrac{48}{4!}(x-1)^4+\dfrac{120}{5!}(x-1)^5$

$T_5(x)=3+2(x-1)-6(x-1)^2-2(x-1)^3+2(x-1)^4+(x-1)^5$

###

Another way of doing this would be to solve for the coefficients $a,b,c,d,e,g$ in

$f(x)=a+b(x-1)+c(x-1)^2+d(x-1)^3+e(x-1)^4+g(x-1)^5$

by expanding the right hand side and matching up terms with the same power of $x$ .

5 0

3 years ago

Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determi

ANTONII [103]

Answer:

It takes 3 seconds over the interval [0,3]

Step-by-step explanation:

To find when the roller coaster reaches the ground, find when d=0.

$0=144-16t^2$

To solve divide each term by 16 and factor:

$\frac{0}{16}=\frac{144}{16} -\frac{-16t^2}{16} \\0= 9 - t^2\\0=(3-t)(3+t)$

Solve for t by setting each factor to 0.

t-3=0 so t=3

t+3=0 so t=-3

This means the car is in the air from 0 to 3 second.

8 0

3 years ago

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. A car repair center services 920 cars in 2012. Th

OverLord2011 [107]

Answer:

N = 920(1+0.03)^4t

Step-by-step explanation:

According to the given statement a car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012.

Rate is 12 % annually

rate in quarterly = 12/4= 3%

We will apply the compound interest equation:

N=P( 1+r/n)^nt

N= ending number of cars serviced.

P= the number of cars serviced in 2012,

r = interest rate

n = the number of compoundings per year

t= total number of years.

Number of compoundings for t years = n*t = 4t

Initial number of cars serviced=920

The quarterly rate of growth = n=4

r = 3%

The growth rate = 1.03

Compound period multiplied by number of years = 920(1.03)^4t

Thus N = 920(1+0.03)^4t

N = number of cars serviced after t years...

5 0

3 years ago