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Answer:

[tex]A(t)=250-230e^{-\frac{t}{50} }[/tex]

Step-by-step explanation:

A(t) is the amount of salt in the tank at time t.

dA / dt = rate of salt flowing into the tank - rate of salt going out of the tank

dA / dt = (1 g/L)*(5 L/min) - (A(t)/250 g/L) * (5L/min)

dA / dt = 5 g/min - (A(t) / 50) g/min

[tex]\frac{dA}{dt}+\frac{A(t)}{50} = 5\\\\The\ integrating\ factor(IF)= e^{\int\limits \frac{1}{50}dt }=e^{\frac{t}{50} }\\\\Multiplying\ through\ by\ the\ I.F:\\\\\frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} } = 5*e^{\frac{t}{50} }\\\\Integrating \ both \ sides:\\\\\int\limits[ \frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} }] dt=\int\limits 5e^{\frac{t}{50} } dt\\\\A(t)e^{\frac{t}{50} } =\int\limits 5e^{\frac{t}{50} } dt\\\\[/tex]

[tex]A(t)e^{\frac{t}{50} } =250e^{\frac{t}{50} }+C\\\\A(t)=250+Ce^{-\frac{t}{50} }\\\\But\ A(0) = 20\\\\20=250+Ce^{-\frac{0}{50} }\\\\C+250=20\\\\C=-230\\\\A(t)=250-230e^{-\frac{t}{50} }[/tex]

Answer:

Counting Method

Step-by-step explanation:

I tink I am 2nd grade so sorry if wrong we are learning that

Answer:

yeah it's counting method

Answer:

y=3/4x+1/2

Step-by-step explanation:

slope intercept form: y=mx+b

find the slope with y2-y1/x2-x1: (-4-5)/(-6-6)= 3/4

substitute one of the coordinates in the equation with the slope: 5=3/4(6)+b

solve to find b:

b=1/2

substitute in the equation:

y=3/4x+1/2

Answer:

R = 0.8815 ;

y = 6.14679X + 2.33028 ;

14.624

Step-by-step explanation:

Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.

The regression line equation obtained by Plotting the values to generate a linear model is :

y = 6.147X + 2.330

With ;

Slope or gradient being 6.147

Intercept = 2.330

C.)

x = 2

y = 6.147X + 2.330

y = 6.147(2) + 2.330

y = 14.624

Answer:

x=27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5/3x-4/3x-1=8

5 /3 x+  −4 /3 x+−1=8

(5 /3 x+  −4 /3 x)+ (−1) =8 (Combine Like Terms)

1/3x-1 =8

1/3x=9

(1/3 x) x 3 = 3 x 9

x=27

Answer: x=27

Step-by-step explanation: if you want to Solve for X, you have to by simplify both sides of the equation, then isolating the variable.

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

Answer: 478161

Step-by-step explanation:

The rectangular equation that represents the parametric equation [tex]x=t^{\frac{1}{2} }[/tex] and y = 4t is:

[tex]y=4x^2[/tex] for [tex]x\geq0[/tex]

Note the given representations:

[tex]x=t^{\frac{1}{2} }[/tex]

[tex]y=4t[/tex]

Make t the subject of the formula from the expression [tex]x=t^{\frac{1}{2} }[/tex]

[tex]x^2=t^{\frac{1}{2}\times2\\\\x^2=t\\t=x^2[/tex]

Substitute [tex]t=x^2[/tex] into y = 4t

[tex]y=4x^2[/tex]

Therefore, the rectangular equation that represents the parametric equation [tex]x=t^{\frac{1}{2} }[/tex] and y = 4t is:

[tex]y=4x^2[/tex] for [tex]x\geq0[/tex]

Learn more on parametric equation here: https://brainly.com/question/14746714

#SPJ2

Answer:

49c2

Step-by-step explanation:

Answer:

its the second one can u make me brain list

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

VXW

Step-by-step explanation: Since the first one is the same model as the 2nd but with different letter and the order for the first one would be the same as the 2nd model.

Answer:

3(13.50+6.50s) and 3(20.00s)

Step-by-step explanation:

Answer:

H.

Step-by-step explanation:

Look closely, and eliminate the ones that don't work.

Answer: Choice B)  -infinity < x < infinity

==========================================================

Explanation:

The parabola goes on forever to the left and to the right. We can plug in any x value without worrying about something as a division by zero error. So any real number will work.

Writing -infinity < x < infinity refers to the entire number line, which is the set of all real numbers.

Answer:

He can clean 10 pools in 25 hours.

Step-by-step explanation:

Answer: D

Step-by-step explanation: you just got coconut malled send this to a friend to totally coconut mall them (D is correct)

Answer:

d, 40% !

Step-by-step explanation:

this one, you can use long division ! since the faction of apple to all fruit is 6/15, you divide 6 by 15. you would get the decimal 0.4

in order to make that a percentage, you'd just move the decimal two places to the right, then add a % !! so it's 40% !!

i really hope this helped!

Answer: 52:41

Step-by-step explanation:

Answer:

14 + 28 = 42

Step-by-step explanation:

2 x 3 x 7

Answer:

you earn 25 because 5x5 is 25

Step-by-step explanation:

Answer:

Dependent-y

Independent-x

Step-by-step explanation:

Answer:

Learned

Step-by-step explanation:

I luv u!

Answer:

first one is A second on is C third is B fourth is B HOPE THIS HELPS

Answer:

1. A

2.C

3.B

4.B

Step-by-step explanation:toke test

Answer:

x - 4y = 8

Step-by-step explanation:

I know it is right

Answer:

Quadrant lll

Step-by-step explanation:

Since the cosine of the angle is positive, the sine of the angle must be negative and the terminal side of the angle lies in either Quadrant III or IV.

Answer:

its always the third one

Step-by-step explanation:

Have a good day

Answer:

I would say 32 but I'm not sure

Step-by-step explanation: