I put it at 50 pts because it will take a while plz help me

Answer:

a

  [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]

b

  [tex]y(20) = 9 \ kg[/tex]

Step-by-step explanation:

From the question we are told that  

    The volume of brine in the tank is  [tex]V_L = 5000 \ L[/tex]

     The mass of the salt is [tex]y(0)= 11 \ kg[/tex]

     The rate at which water enters that tank is [tex]\r V = 50 \ L / min[/tex]

Generally the rate at which salt enters the tank is mathematically represented as

           [tex]z = \frac{0}{V_L} * \r V[/tex]

=>        [tex]z = \frac{0}{5000} * 50[/tex]

Here the zero implies that there is no salt entering the tank

Generally the rate at which salt leaves  the tank is mathematically represented as

           [tex]u = \frac{y(t)}{V_L} * \r V[/tex]

=>        [tex]u = \frac{y(t)}{5000} * 50[/tex]        

=>        [tex]u = \frac{y(t)}{100}[/tex]

Generally the rate of salt flow in and out of the tank is              

       [tex]\frac{dy}{dt} = z - u[/tex]

=>    [tex]\frac{dy}{dt} = - \frac{y(t)}{100}[/tex]

=>    [tex]\frac{dy}{y} = -\frac{dt}{100}[/tex]

=>    [tex]ln(y(t)) = -\frac{t}{100} + c[/tex]

at time  t = 0  y(0) =  11

=>  [tex]ln(11) = -\frac{0}{100} + c[/tex]

=>   [tex]c = ln (11)[/tex]

So

    [tex]ln(y(t)) = -\frac{t}{100} + ln (11)[/tex]

taking exponent of both sides

    [tex]y(t)=e^{ -\frac{t}{100} + ln (11)}[/tex]

=>  [tex]y(t) = e^{-\frac{t}{100} } * e^{ln(11)}[/tex]

=>  [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]

Generally at t = 20 minutes

 The amount of salt in the tank is mathematically represented as

         [tex]y(20) = 11e^{-\frac{20 }{100} }[/tex]

=>      [tex]y(20) = 9 \ kg[/tex]

Answer:

1/4 is A as a fraction

2/8 is an equivalent fraction to A

Step-by-step explanation:

Count the lines :)

Answer:

The equations are really hard, so if you can find a slope interpreter or something that might be helpful.

I find it easier to just count the up and across.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Paul's equation,

Since the given line is passing through a point (4, 2) and slope = -5,

y = mx + b

2 = -5(4) + b

2 = -20 + b

b = 22

Therefore, equation of the line will be,

y = -5x + 22

Seth equation,

Slope of a line passing through two points (x, y) and (4, 2),

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

-5 = [tex]\frac{y-2}{x-4}[/tex]

-5(x - 4) = y - 2

-5x + 20 = y - 2

y = -5x + 22

Therefore, both the equations represent the same line.

Answer:

B

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=x+4

Answer:

Step-by-step explanation:

14(8x-36)+2x

112x -504 +2x

114x-504

Answer:

The answer is Option D

Step-by-step explanation:

Supplementary angles are angles that sum up to 180 °

Answer:

-1 27/56

Step-by-step explanation:

Using the given fractions,

−58+−67

Applying the fractions formula for addition,

=(−5×7)+(−6×8)8×7

=−35+−4856

=−8356

Simplifying -83/56, the answer is

=−12756

Answer:

I'm pretty sure it's the to right one

Step-by-step explanation:

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Step-by-step explanation:

Example:

[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]

[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]

Answer:

The assembly line manufactures 13 riding lawn mowers per hour of operation. And the graph that the line is vertical but slightly tilted.

Step-by-step explanation:

Answer:

15 + 18.88 ÷ 12 = p

if p were price of each song

p= 1.99

Answer:

6 hours more

Step-by-step explanation

When Zoey started the flight the battery was 100%, then it dropped to 75% in 2 hours. So each 25% will last 2 hours and there is 75% remaining which if you divide by 3 it will give 1. And each 25% will last 6 more hours until the battery dies.

Answer:

A buoyant girl ant

Step-by-step explanation:

Answer:

n=6

Step-by-step explanation:

4n + 1= 25

Move constant to the right

4n=25-1

Calculate

4n=25-1

Then divide on both sides

Answer:

Today: Friday, 06 November 2020

Hour: 09.44 WIB (Indonesia)

_______________________________

4n + 1 = 25

4n = 25 - 1

4n = 24

n = 24/4

n = 6

Answer:

nine point eight hundred seventy six....hope u got, babes...

Answer:

3.125

Step-by-step explanation:

Hope this helps!! :)

Answer:

3.05

Step-by-step explanation:

Explanation:

1/3 is the same as 2/6

Imagine cutting a cake into thirds, then cutting each piece in two parts, so you'll have 6 pieces total. If you shade one third of the cake, then this is the same as shading 2/6 of a cake. The diagram shows this below.

Therefore 4/6 + 1/3 is the same as 4/6 + 2/6

At this point, we add the numerators over the common denominator

4/6 + 2/6 = (4+2)/6 = 6/6 = 1

Meaning we get a full cake since 4/6 is four slices and 2/6 is another two slices leading to 4+2 = 6 slices total out of the 6 overall.

Given:

The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).

To find:

The vertices for [tex]R_{x-axis}(QRST)[/tex].

Solution:

The rule [tex]R_{x-axis}(QRST)[/tex] represents refection of polygon QRST across the x-axis.

If a figure is reflected across the x-axis, then

[tex](x,y)\to (x,-y)[/tex]

Using this rule, we get

[tex]T(-2,3)\to T'(-2,-3)[/tex]

[tex]Q(1,5)\to Q'(1,-5)[/tex]

[tex]R(3,-1)\to R'(3,1)[/tex]

[tex]S(0,0)\to S'(0,0)[/tex]

Therefore, the vertices for [tex]R_{x-axis}(QRST)[/tex] are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).

Rx-axis means that the polygon QRST is reflected across the x-axis.

The ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)

The points are given as:

[tex]\mathbf{Q = (1,5)}[/tex]

[tex]\mathbf{R = (3,-1)}[/tex]

[tex]\mathbf{S = (0,0)}[/tex]

[tex]\mathbf{T = (-2,3)}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{Q' = (1,-5)}[/tex]

[tex]\mathbf{R' = (3,1)}[/tex]

[tex]\mathbf{S' = (0,0)}[/tex]

[tex]\mathbf{T' = (-2,-3)}[/tex]

Hence, the ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)

Read more about reflections at:

https://brainly.com/question/938117

Answer:2 4 and 5

Step-by-step explanation:

Answer:

i would tell you but what are the options if you tell me that ill gladly help you out

Step-by-step explanation:

would it be 25.3 or just 25

Answer:

The answer is 0.875

Answer:

13

Step-by-step explanation:

a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.

Answer:

2 bags

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

2x8=16

25-16=9

3.5+3.5=7

Answer:

4,186.6 repeated (just round to .7 if it asks for it)

Step-by-step explanation:

The volume of a sphere is 4/3 pi r^3

plug in the radius and simplify that expression