A blue bag has 2 times as many marbles as a red bag. The blue bag has 6 marbles.

How many marbles are in the red bag?​

Answer:

[tex]A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]

Step-by-step explanation:

The net mass flow rate dA/dt = mass flow rate in - mass flow rate out

mass flow rate in = concentration of brine in × brine flow rate in = 4 lb/gal × 7 gal/min = 28 lb/min

Let A(t) be the amount of salt at time t. The concentration of salt in the tank at time, thus C = amount of salt/volume of tank = A(t)/700 lb/gal.

Since the well mixed solution is pumped out at a rate of 14 gal/min, the mass flow rate out = concentration of salt in tank × volume flow rate out = A(t)/700 lb/gal × 14 gal/min = m(t)/50 lb/min

So, dA/dt = mass flow rate in - mass flow rate out

dA/dt = 28 lb/min - A(t)/50 lb/min

dA/dt = 28 - A(t)/50

dA/dt = [1400 - A(t)]/50

separating the variables, we have

dA/[1400 - A(t)] = dt/50

integrating both sides, we have

∫dA/[1400 - A(t)] = ∫dt/50

-1/-1 × ∫dA/[1400 - A(t)] = ∫dt/50

1/-1 × ∫-dA/[1400 - A(t)] = ∫dt/50

-1 × ㏑[1400 - A(t)] = t/50 + C

-㏑[1400 - A(t)] = t/50 + C

㏑[1400 - A(t)] = -t/50 - C

taking exponents of both sides, we have

[tex]1400 - A(t) = e^{\frac{-t}{50} - C} \\1400 - A(t) = e^{\frac{-t}{50}}e^{-C}\\1400 - A(t) = Be^{\frac{-t}{50}} ( B = e^{-C}) \\A(t) = 1400 - Be^{\frac{-t}{50}}[/tex]

when t = 0, A(0) = 0. So,

[tex]A(t) = 1400 - Be^{\frac{-t}{50}}\\A(0) = 1400 - Be^{\frac{-0}{50}}\\0 = 1400 - Be^{0}\\0 = 1400 - B\\B = 1400[/tex]

So,

[tex]A(t) = 1400 - 1400e^{\frac{-t}{50}}\\A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]

Answer:

64

Step-by-step explanation:

A square has 4 equal sides so all you have to do is divide 4 by 256. 256/4 is equal to 64. Therefore, the answer is 64 paving stones.

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Answer:

A≈1385.44in²

Step-by-step explanation:

A=πr2=π·212≈1385.44236in²

Answer:

1384.74 inches.

Step-by-step explanation:

The formula for area of a circle is:

[tex]a=\pi *r^2(3.14*radius*radius)[/tex]

[tex]\pi =3.14, r=radius.[/tex]

According to the word problem, the radius of the circle is 21 inches.

Now, we can just plug the numbers into the formula.

[tex]\pi *21^2(3.14*21*21)=1384.74[/tex]

Therefore, the area of the circle is 1384.74 inches.

Answer:

2/20

Step-by-step explanation:

since,there are 20 whole number and if u put 2 random number the,

probability(P)=favorable outcome/possible outcome

so p=2/20

Thank You

Answer:

7[tex]\frac{1}{2}[/tex] rows

Step-by-step explanation:

just count the rows! (if she planted half a row then add it as half)

2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] (you can split it up)

2 + 2 + 2 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]

6 + 1[tex]\frac{1}{2}[/tex] = 7[tex]\frac{1}{2}[/tex]

The screenshot is the correct answers

The table modeling the inverse of function f is,

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                   -1

-2                     0

 -1                     1

  0                    2

"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"

For given question,

We have been given a table modeling function f.

 x             f(x)

-2            -28

-1              -9

 0              -2  

 1               -1

 2              0

We need to complete the table modeling the inverse of function f.

We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]

For given function f(x), we find inverse of f(x)

  [tex]x[/tex]                  [tex]f^{-1}(x)[/tex]

-28                  -2

-9                    -1

-2                    0

 -1                     1

  0                   2

Learn more about the inverse of function here:

https://brainly.com/question/20663378

#SPJ2

Answer:

u = 143º

Step-by-step explanation:

Sum of angles in a triangle is 180

The unknown angle IN the triangle

x + 90 + 53 = 180

x + 143 = 180

x = 37º

x and u are supplementary angle which total 180

u + 37 = 180

u = 143º

Answer:

B. 3 to 2

Step-by-step explanation:

I calculated it logically

The ratio of the frequency of G to C is 1.5. So, option b is correct.

Frequency of a wave is defined as the number of oscillations completed by the wave in one second.

Here,

The frequency of note G, f(G) = 392 Hz

The frequency of note C, f(C) = 262 Hz

The ratio of the frequency of G to C, r = frequency of G/frequency of C

r = f(G)/f(C)

r = 392/262

r = 1.496 approximately r = 1.5

Hence,

The ratio of the frequency of G to C is 1.5

To learn more about frequency, click:

https://brainly.com/question/30333783

#SPJ7

Answer:

2:7

Step-by-step explanation:

10:35 can also be written as 2:7

Thenks and mark me brainliest :))

Answer:

1568cm²

Step-by-step explanation:

28cm + 28cm = 56cm

35cm + 21cm = 56cm

56 × 56 = 3136cm²

3136cm² ÷ 2 = 1568cm²

1. Base presents the whole number

❤️#CARRYONLEARNING ❤️

Answer:

B. In Section P, the function is linear and increasing.

Step-by-step explanation:

Answer:

B. In Section P, the function is linear and increasing.

Answer:

Step-by-step explanation:

ask cymath it will help you with any mathmatical problem

Answer:

W = 11/2, L = 14 sq ft

Step-by-step explanation:

Area = 77ft

L = length, W = width

L = 3 + 2W

L * W = 77

Plug W in to find the L

9514 1404 393

Answer:

  99°

Step-by-step explanation:

Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...

  360° -136° -125° = 99° . . . . measure of arc XZ

Answer:

Solution given:

<x=68°

arc XY=125°

arc XZ=?

we have

<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]

<W=180°-68°=112°

Now

arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]

arc YZ=224°

arc XY +arc YZ=224°

125°+arc YZ=224°

arc YZ=224°-125°

arc YZ=99°

the measure of the arc or angle indicated is 99°.

Answer:

C, D and F

Step-by-step explanation:

Procedure:

9x+5=5x+21

4x+5=21 (subtract 5x)

4x=16 (subtract 5)

x=4 (divided by 4)

Answer:

Surface Area

Step-by-step explanation:

You are calculating the measurements for the surface of the prism. The interior is volume.

Answer:

Surface Area

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]

[tex]3x + 12 + 7x + 88 = 180[/tex]

[tex]10x + 100 = 180[/tex]

[tex]10x = 80[/tex]

[tex]x = 8[/tex]

Answer:

Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.

Answer:

here now you can give her brainliest

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

0.6x+7=0.1x-8

0.6x-0.1x=-8-7

0.5x=-15

x=-15/0.5

x=-30

log 3 + 3log a ( a ) =

log 3 + 3 × 1 =

log 3 + 3 =

0.4771 + 3 =

3.4771

Answer:

Step-by-step explanation:

Angle A and 50 will combined have an angle of 180

Angle A = 180-50

Angle C is opposite of angle A and both will be equal. Same with Angle B and it's opposing Angle.

You got this!

Answer:

517.2

Step-by-step explanation:

It has sides you're not seeing so don't forget those.

You need to find the area of the front, back, two sides, and bottom

Front & back:

6*5.2* 1/2

31.2/2 = 15.6 for each

Sides:

27*6 = 162 each

Bottom:

6*27 = 162

162+162+162+15.6+15.6= final answer

Answer: B

Step-by-step explanation:

First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2

Answer:

3 shifts a day

Step-by-step explanation:

7 1/2 hours = 7.5 2 1/2 hours = 2.5

7.5 divided by 2.5 = 3

Answer:

3 shift

Step-by-step explanation:

7 1/2 / 2 1/2

(15/2) / (5/2)

keep, change, flip

(15/2) x (2/5)

30/10 = 3 shifts