solve y/2 + 22 =38 for y

Solution :

Given data :

[tex]c_{in}[/tex] = 1 g/L

[tex]r_{in}[/tex] = 5 L/min

[tex]r_{out}[/tex] = 5 L/min

[tex]$v_0$[/tex] = 250 L

[tex]A_0[/tex] = 20 g

∴ [tex]r_{net} = r_{in}- r_{out}[/tex]

         = 5 - 5

          = 0

[tex]c_{out} = \frac{A}{250} \ g/L[/tex]

Now, [tex]\frac{dA}{dt}=(r_{in} \times c_{in}) - (r_{out} \times c_{out})[/tex]

[tex]$\frac{dA}{dt} = 5-5\left(\frac{A}{250}\right)$[/tex]

[tex]\frac{dA}{dt}+5 \left(\frac{A}{250}\right) = 5[/tex]

[tex]\frac{dA}{dt}+5 \left(\frac{A}{250}\right) = 5 \text{ with} \ A_0 = 20[/tex]

Integrating factor = exp(5 t/250)

Therefore,

[tex]A \times \exp (5t \ /250) = \text{integral of}\ 5 \times \exp (5t / 250) + C[/tex]

Put [tex]A_0=250+C[/tex]

C = -230

[tex]A \times \exp(5t/250) = 250 \exp(5t/250) + (-230)[/tex]

[tex]A(t) = 250-230 \exp(-5t/250)[/tex]

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

Answer:

d

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

Since both triangles are similar, that means that the larger triangle's sides are greater than the smaller triangle's sides by a factor. We can see that 10 corresponds to x, so in the proportion 10 and x must be on the same side. That rules out option one and three. Now, we see that 7 corresponds to 14 and 6 corresponds with 12, so the other side must have 6 and 12 on the same side or 7 and 14 on the same side. We see that the only option that satisfies this criteria is Option 2.

Answer:

Option 2 - [tex]\frac{10}{x} =\frac{7}{14}[/tex]

Step-by-step explanation:

So, lets just look at the two traingles, find the difference, then see if the graphs will give us the same difference.

So lets see.

One side of triangle ABC is 6. The same side of triangle DEF is 12.

Another side of triangle ABC is 7. THe same side of trinalge DEF is 14.

The final side of trinalge ABC is 10. The same side of triangle DEF is x.

We only need to compare a single side of these to find the difference:

12/6=2

14/7=2

This is very simple.

However, lets shift this into what they wrote.

So we know that the difference between each side is 2.

ALL sides are like this.

We know that both 12/6 and 14/7 equal the same thing, so tecnically, they are equal:

12/6=14/7

This is the same with 10/x as well.

So:

10/x=14/7

10/x=12/6

So we know that the difference from ABC to DEF is 2. But the difference from DEF to ABC is the opposite, 1/2.

Knowing this:

x/10=6/12 is the same thing as 10/x=12/6. And x/10=7/14 is the same thing as 10/x=14/7

So our answers can also be:

x/10=7/14

x/10=6/12

This looks like option 2.

Hope this helps!

I really don't know but I guess 59

Let h be high temperature for today.

We are told that today high temperature will be at least 50 degrees. This means the high temperature will be greater than or equal to 50 degrees.

Let us represent this information by our inequality.

Therefore, our desired inequality will be .  

h [tex]\geq[/tex] 50 degrees

Answer:

248.96

Step-by-step explanation:

From this regression output we have the MS Residual or mean squared error to be equal to 61983.1

the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.

[tex]\sqrt{61983.1}[/tex]

= 248.96

the standard error of the estimate = 248.96

thank you!

The number of patients chose chicken on Monday is 90.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, there were 240 patients in total.

1/3 of these patients chose pasta.

Number of patients chose pasta

= 1/3 ×240

= 60

3/8 of these patients chose beef stew.

Number of patients chose beef stew

= 3/8 ×240

= 90

Number of patients chose chicken

= 240-(60+90)

= 240-150

= 90

Therefore, the number of patients chose chicken on Monday is 90.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Answer:

Step-by-step explanation:

Does the answer help for you?

1+1+1+1+1++1+1++1+1+1+1+1+1+1

Answer:

The time taken by the four workers to paint the room is 1.5 hours.

Step-by-step explanation:

3 workers can paint a room in 2 hours

So, 1 worker can paint the same room in 6 hours.

Now the number of workers is 4.

So, the time in which the 4 workers can paint the same room is

= 6/4 = 1.5 hours

Answer:

Let the retail cost be x and the wholesale cost be y

Step-by-step explanation:

x = y + 0.50y

x = 1.50y

Therefore the retail cost is 1.50 times the wholesale cost.

Answer:

V =  π /2   volume units

Step-by-step explanation:

Volume of    y = √x   bounded by  y = x   and y = 1

y = √x

limits of integration   ( see Annex )

By simple inspection limits of integration are   x = 0    to  x = 1

or  y = √x     and    y = x

solving these two equations

x = 0    y = 0       x = 1      y = ± 1

V = ∫ π*f(x)²*dx    

V  =  π * ∫₀¹ x*dx   =    π * x²/2 |₀¹

V =   π * (1/2) - 0

V =  π /2   volume units

Answer:

455

Explain your answer:

Answer:

247000 ?

Step-by-step explanation:

If I understand this right then that should be the answer. I added 240000 and 7000

Answer:

Step-by-step explanation:

f(0) = [tex]0^{3} +1=1[/tex]

f(-2)= [tex](-2)^{3} +1=-7[/tex]

f(x+1) = [tex](x+1)^{3} +1=x^{3} +3x^{2} +3x+2[/tex]

Answer:

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniformly distributed on [0, 1000].

This means that [tex]a = 0, b = 1000[/tex]

Given that the loss in nominal dollars is greater than 200.

This means that [tex]a = 200[/tex]

Calculate the probability that the loss in nominal dollars is less than 1000

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

[tex]P(X < 1000) = \frac{1000 - 200}{1000 - 200} = 1[/tex]

100%  probability that the loss in nominal dollars is less than 1000, given that the loss in nominal dollars is greater than 200.

Answer:

Es el 60%

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

one yard is 3 feet

100x3=300

Answer:

Larger angle= 73, smaller angle= 17

Step-by-step explanation:

I wrote an equation, and x is the measure of one of the angles

90=2x-56

90+56=2x-56+56

146=2x

73=x

One of the angles is 73, so subtract 53 from 73 to find the second angle. 73+56=17

You can make sure it adds up to a complementary angle by seeing if 17+73=90

Answer:

-8

Step-by-step explanation:

g(4)=8

8÷4=2

g=2

g(-4)=2(-4)

=(-8)

holp it can help you.

Answer:

steven spend 480

Step-by-step explanation:

Answer:

f(-3.2) = - 7.2

Step-by-step explanation:

f(x) = [x] - 4

f(-3.2) will be ;

Here, we put - 3.2 in place of x as the question is interpreted as the value of f(x) when x = - 3.2

Therefore, we have ;

f(-3.2) = - 3.2 - 4

f(-3.2) = - 7.2

9514 1404 393

Answer:

  y +3 = 1/5x

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You have y-intercept point (0, -3) and slope -1/5, so the equation is ...

  y -(-3) = -1/5(x -0)

  y +3 = -1/5x

Answer:

A.) y = -7/4x - 7

Step-by-step explanation:

The line's slope is -7/4 and its y-intercept is located at the point (0, -7).

Step-by-step explanation:

everything can be found in the picture

Answer:

The triangles are congruent, because;

Angle H and K are Opposite Side Interior Angles which are congruent,

Angle GJH and LJK are vertical angles which an be said to be congruent

Therefore;

Triangles that have 2 or more vertices congruent are said to be congruent.

Hope this helps!

Answer:

They both meet after 27 s.

Step-by-step explanation:

Length of track = 400 m

speed of man, v = 8 m/s

speed of woman, v' = 5 m/s

Woman is 50 m ahead of man.

Let the time taken to meet is t.

Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.

[tex]\frac{d}{8}=\frac{400-50-d}{5}\\\\5 d = 8 (350-d)\\\\13 d = 2800\\\\d = 215.4 m[/tex]

The time taken is

[tex]t=\frac{215.4}8}\\\\\\t=27 s[/tex]

9514 1404 393

Answer:

 1.60

Step-by-step explanation:

The growth factor is 1 more than the growth rate:

  1 + 60% = 1 + 0.60 = 1.60 = growth factor