help me please and thank you.

Answer:

La población 20 horas después será de 321,161 bacterias.

Step-by-step explanation:

t horas después de iniciar la observación, tiene una razón de cambio de P'(t) = 350 e0.18t + 220 e-0.3t.

Esto implica que la población después de t horas viene dada por:

[tex]P(t) = \int P^{\prime}(t) dt[/tex]

[tex]P(t) = \int (350e^{0.18t} + 220e^{-0.3t}) dt[/tex]

Teniendo en cuenta que

[tex]\int e^{at} dt = \frac{1}{a}e^{at}[/tex]

[tex]P(t) = \int (350e^{0.18t} + 220e^{-0.3t}) dt[/tex]

[tex]P(t) = \frac{350}{0.18}e^{0.18t} - \frac{220}{0.3}e^{-0.3t} + K[/tex]

En que k es la población inicial, o sea, [tex]K = 250000[/tex]. Entonces

[tex]P(t) = 1944.44e^{0.18t} -733.33e^{-0.3t} + 250000[/tex]

¿Cuál será la población 20 horas después?

Esto eres P(20). Entonces:

[tex]P(20) = 1944.44e^{0.18*20} -733.33e^{-0.3*20} + 250000 = 321161[/tex]

La población 20 horas después será de 321,161 bacterias.

Given : Area of the parallelogram is 220 square yard

We know that :

⊕  Area of a parallelogram is given by : Base x Height

⇒  Base x Height = 220

Given : Height of the parallelogram = 11 yards

⇒  Base x 11 = 220

⇒  Base = 20 yards

⇒  Missing Length = 20 yards

Answer:

X>3 which is B

Step-by-step explanation:

Answer:

D. x > 3

Step-by-step explanation:

We have:

16x + 8 > 12x + 20

We have to make x be alone on one side.

So first, we subtract both sides by 8:

16x > 12x + 12

Subtract 12x from both sides:

4x > 12

Divide both sides by 4:

x > 3

Answer:

[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

G(-6 , 2) = (x1 , y1)

J(-4 , -3) = (x2 , y2)

slope = y2 - y1/x2 - x1

=-3-2/-4-(-6)

=-5/-4+6

=-5/2

Answer:

[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]

Answer:

no

Step-by-step explanation:

refer to picture for solution

Answer:

∅ = 2.6º

Step-by-step explanation:

sin = opp/hyp

sin∅ = 0.3/6.7

∅ = arcsin0.3/6.7

use calculator

∅ = 2.6º

Answer:

5.2 =x

Step-by-step explanation:

We know the opposite side and the hypotenuse

sin theta = opp/ hypotenuse

sin 48 = x/7

7 sin 48 =x

5.202013778 =x

Rounding to 1 decimal place

5.2 =x

Answer:

68

Step-by-step explanation:

4.5p + 8.2n when p=6 and n=5

Subsitute for p and n

4.5(6) + 8.2(5)

Multiply

27 + 41

add

68

Answer:

5.19 Km

Step-by-step explanation:

According To the Question,

Suppose he Runs Xkm before swimming to minimize the time it takes to reach the island .

So, he should swim [tex]\sqrt{2^{2}+(6-X)^{2} } Km[/tex] .

Now The Total Time is t = [tex]\frac{X}{8} + \frac{\sqrt{2^{2}+(6-X)^{2} } }{3}[/tex] .

t = [tex]\frac{X}{8} + \frac{\sqrt{X^{2}-12X+40 } }{3}[/tex]

[tex]\frac{dt}{dX}=1/8 + 1/3 * 1/2 * \frac{2X-12}{\sqrt{X^{2}-12X+40 } }[/tex]

[tex]\frac{dt}{dX}=1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } }[/tex]

Now Put [tex]\frac{dt}{dX} = 0[/tex] , we get

[tex]1/8 + \frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = 0[/tex]

[tex]\frac{1}{3} * \frac{X-6}{\sqrt{X^{2}-12X+40 } } = - \frac{1}{8}[/tex]

8(X-6)= -3 × [tex]{\sqrt{X^{2}-12X+40 }[/tex]

square on both side,We get

64(X²-12X+36) = 9X² - 108X +360

55X² -660X + 1944 = 0

Apply Shri Dharacharya formula, To Find The Value of 'X'

X =[ - (-660) ±[tex]\sqrt{(-660)^{2}-4*55*1944 }[/tex]  ] ÷ 2×55

X = (660±√7920) / 110

X= (660 - 89 ) / 110  ⇒ (Neglect '+' because it give 749/110 = 6.8 km Which is not possible )

X=571/110 ⇔ 5.19km he Should Run before swimming to minimize the time .

(For Diagram,Please Find In Attachment)

Answer:

none (0) ...

think of two lines (or chop sticks places on a table) ...

there are three (3) possible orientations that they can be in.

1) they cross each other at one point

2) they are on top of each other (they touch everywhere)

3) they are side by side (parallel)

in situation one we say we have a solution

in situation two we say there is an infinite solutions (the same line)

in situation three (your problem) we say there is no solution (parallel lines)

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

Answer:

12 small snowflakes

Step-by-step explanation:

if she only has 60 minutes to make them and each small snowflake takes 5 minutes, then we solve with the equation:

n = 60/5

*edit: i forgot how to write an equality lol, that isn't the answer

Answer:

12 small snowflakes

Step-by-step explanation:

Because the math equals out to that

Answer:

The answer is "Option A"

Step-by-step explanation:

Using the range difference to calculate the maximum and minimum value.

The range of the chinstrap penguins are:  

[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]

The range of the Gentoo penguins are:

 [tex]R(g) = Max(g) - Min(g) = 15.4[/tex]

For point A:

[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]

equate both of them

[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]

It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).

Therefore, the Max is picked for g for all penguins and the minimum is picked for c.    

Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]

Therefore, it will be determined as the option.

For point B:

In estimating the range the median height cannot help.

For point C:

In order to calculate the variety, the connection between both the mean height cannot be sued.

Answer:

y = 17(2)^x

Step-by-step explanation:

If the graph of y = ab^x goes through (0, 17), then

                        17 = ab*0, or a = 17

Then the function is y = ab^x with a = 17, or

                                  y = 17*b^x and we must find b.

If the graph of y = 17*b^x also goes through (6, 1088), then the following must be true:   1088 = 17*b^6

which reduces to 64 = b^6

Taking the sixth root of both sides, we get 64^(1/6) = b, and so b = 2

Then the desired exponential function is

y = 17(2)^x

Answer:

The function is correct, I just don't see a question.

Step-by-step explanation:    6   21   6  10

C(n) = 12n + 65

I will make up a question.  How much will it cost 4 people each to rent the cabin?

C(n) = (12n + 65) / n         n = 4

      =  (12 × 4 + 65) / 4

      =  (48 + 65) / 4

      =     113 / 4

      =     $28.25

If your question is differnt just substitute the number of people into the question and solve for C(n)

Answer:

3 = 20

5 = 20

8= 160

Step-by-step explanation:

angle 2 and 3 are on the same line, so 180 - 160 is 20 degrees

rule of alternate interior angles: angle 5 is equal to 3

rule of alternate exterior angles: angle 8 is equal to 2

Answer:

Equilateral triangles are sometimes

acute triangles.

Scalene triangles are never

acute triangles.

Right triangles are never

acute triangles.

Obtuse triangles are always

isosceles triangles.

Answer:

$168

Step-by-step explanation:

yearly interest = principal x time x interest rate

interest when interest rate is 12% = 8400 x 0.12 = 1008

interest when interest rate is 10% = 8400 x 0.1 = 840

decrease in interest rate = 1008 - 840 = 168

Answer:

y = 3x -7?

Step-by-step explanation:

started from 7 and going infinite

Answer:

I think it is 90%

Step-by-step explanation:

this is the case because 54/60 will be 9/10 if reduced

Simplify 8/2 :

8/2 = 4

Now you have sqrt(4)

Sqrt(4) = 2

The answer is 2

Answer:

Hello! answer: 96

Step-by-step explanation:

I will find the area of each face separately and add them up so... for the triangles those would both be 6. the rectangle on the bottom would be 28 and the rectangle standing up would be 21 now for the triangle on top that would be 35. now we would just add these up so...

6 + 6 + 28 + 21 + 35 = 96 Therefore the surface area is 96 Hope that helps!

[tex]\longrightarrow{\green{π=3.14}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt{ {\pi}^{2} } \\ \\ = \pi \\ \\ = \frac{22}{7} \\ \\ ( \: or \: ) \\ \\ = 3.14 \\ \\ (∵ \sqrt{( {a})^{2} } = a)[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex]\pi = 3.14 \\ \\ \sqrt{\pi {}^{2} } \\ \sqrt{ {3.14}^{2} } \\ |3.14| \\ \\ = 3.14[/tex]

Final Answer: 3.14

Step By Step Explanation:

Alternate Forms:

Answer:

Is this a line on a graph with point for x,y.

Step-by-step explanation:

-9 is x and 9 is y

Answer:

3)

Step-by-step explanation:

Draw the graph and youll see

Answer:

Exponential growth function

Step-by-step explanation:

It multiplies by 3 each time

Answer:

41° and 139°

45° and 145°

Step-by-step explanation:

Supplementary angles refers to two angles which measures up to 180°.

Therefore, it is safe to say that, angle in supplementary angles = 180°

23° and 147°

= 23° + 147°

= 170°

Not supplementary

41° and 139°

= 41° + 139°

= 180°

Supplementary angle

30° and 60°

= 30° + 60°

= 90°

Not supplementary angle

45° and 145°

= 45° + 145°

= 180°

Supplementary angle

Answer: 120m2

Step-by-step explanation:8x11=88

19-11=8- length of triangle base. 1/2 base x height= 4x8=32

32+88=120m2

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the size of the steps gives you the number before x

and the -1 , +4 is just what left when x equals zero, so in the two tables we find it in row two