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3 years ago

I need help on this

Mathematics

1 answer:

Sever21 [200]3 years ago

3 0

Answer:

The heat from the sun is making the sand hot and heat from the food on plate is making the plate hot

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Find an equivalent 100/25

Varvara68 [4.7K]

Answer:

100/25 = 4

so an equivalent would be 12/3

6 0

3 years ago

Read 2 more answers

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

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

8 0

2 years ago

James delivered 3/8 of the newspaper his route in the first hour and 4/5 of the rest in the second hour. What fraction of the ne

Soloha48 [4]

Answer:

1/2

Step-by-step explanation:

Remaining fraction will be (1-3/8)=5/8

Given that in the second hour he delivered 4/5 of 5/8, then the fraction delivered in the second hour will be:

4/5 of 5/8

=4/5×5/8

=1/2

He delivered 1/2 (in fraction)

7 0

3 years ago

I need help ASAP! (please)

sasho [114]

Volume is 6 sq inches

8 0

3 years ago

Read 2 more answers

Will ran 120 minutes in the past two days. He ran 20 more minutes the second day than the first day. how many minutes did he run

valentinak56 [21]

Here is the equation: x+(x+20) = 120

Since you can't combine anything yet, its x+x+20=120

You need to get x by itself

Minus 20 from both sides

Its x+x=100 now

Combine the x's which is now 2x

Now divide 100 by 2 which is 50

x=50
---------------

Lets check:

50+(50+20)=120

Now combine the numbers in the parentheses

Its now 50+70=120

50+70=120 and 70-50=20

As you can see, he ran 50 minutes the first day and 70 minutes the second day

4 0

3 years ago