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trasher [3.6K]
2 years ago
11

I PROMISE I WILL LET EVERYBODY KNOW WHAT GRADE I GET WHEN I KNOW

Mathematics
2 answers:
Alborosie2 years ago
8 0

Answer:

b i think

Step-by-step explanation:

6/15 for 2/5 because u multiply both by 3 and for 1/3 u multiply by 5 so u get 5/15 so i think b is the right answer

makkiz [27]2 years ago
6 0

Answer:

are those 3 different question of just one?

Step-by-step explanation:

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Tank 1 initially contains 50 gals of water with 10 oz of salt in it, while tank 2 initially contains 20 gals of water with 15 oz
Naddik [55]
\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}
\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_2(t)\text{ oz}}{20\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}

\implies\begin{cases}\dfrac{\mathrm dx_1}{\mathrm dt}=10-\dfrac1{10}x_1\\\\\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac1{10}x_1-\dfrac14x_2\\\\x_1(0)=10\\\\x_2(0)=15\end{cases}
6 0
3 years ago
D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
2 years ago
Brian spends
mariarad [96]

Answer:

Brian have £105 left.

Step-by-step explanation:

Given,

Amount earned by Brian per week = £168

Fraction spent on rent = 1/8

Amount spent on rent = 1/8 x 168

Amount spent on rent = £42

Fraction spent on food = 1/8

Amount spent on food = 1/8 x 168

Amount spent on food = £21

Amount left = Amount earned - amount spent on rent - amount spent on food

Amount left = 168 - 42 - 21

Amount left = £105

Brian have £105 left.

I hope this helps you

5 0
3 years ago
1. Eight months after buying a car that was a
Flauer [41]

Answer:

LOP

Step-by-step explanation:

5 0
3 years ago
Jada rewrites 5•3^x as 15x. Do you agree with Jada that these are equivalent expressions? Explain your reasoning. Help me please
Veseljchak [2.6K]

Answer:yes

Step-by-step explanation:

5*3=15

5*3x=15x

7 0
3 years ago
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