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3 years ago

125,000 to 117,500 what is the percent decrease in value

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

3 0

Answer:

Step-by-step explanation:

Decrease in value = 125 000 - 117 500

= 7500

Percentage decrease = (7500 ÷ 125 000) × 100

= 6%

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What is 64 mi/hr=? Ft/s please work out so I can see a example

Arlecino [84]

$64\ \frac{mile}{hour}=x\frac{feet}{second}\\\\
Converting\ unites:\\
1\ mile= 5280\ feet\\
1\ hour=\ 3600\ second\\\\
64\frac{mile}{hour}=64*\frac{5280feet}{3600second}=\frac{33792\ feet}{3600\ second}=93,9\frac{feet}{second}$

6 0

3 years ago

1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a

katovenus [111]

1. Let a and b be coefficients such that

$\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}$

Combining the fractions on the right gives

$\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}$

$\implies 1 = (2a+b)x + 3a$

$\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23$

so that

$\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}$

2. a. The given ODE is separable as

$x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}$

Using the result of part (1), integrating both sides gives

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C$

Given that y = 1 when x = 1, we find

$\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)$

so the particular solution to the ODE is

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)$

We can solve this explicitly for y :

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)$

$\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|$

$\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|$

$\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}$

2. b. When x = 9, we get

$y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}$

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2 years ago

if a person weighs 150 lb. bicycles at 10 mph for 1 minute and loses 8.1 calories, how many calories would they lose in 1 hour?

Nookie1986 [14]

Answer:

the answer will be 486 calories

Step-by-step explanation:

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2 years ago

Iam a number less then 3000. When u divide me by 32 my remainder is 30. When u divide me by 58 my remainder is 44. What number a

forsale [732]

32a+30=YOU,
58b+44=YOU, a,b and YOU are integers; YOU<3000.

YOU can be 798, 1726, or 2654.

Download pdf

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3 years ago

Help meeeeeeeeeeee:(

Vaselesa [24]

Answer:

1/3

Step-by-step explanation:

(1/3)^2x(1/3)^-1

so, we can write this as:

1/3 x 1/3 x 3/1

if calculated by cutting, the answer is 1/3

There is also an easier way to do this,

(1/3)^2 x (1/3)^-1

as the bases are same, the powers will be added.

2+(-1)

2-1

so,

(1/3)^1 or 1/3

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3 years ago