A culture of bacteria grows in a lab according to the model B = 600e^(kt) where t is the measured in hours. The culture reaches a size of 750 after 6 hours. Find the value of k.
NO LINKS!!!!!!

Answers

Answer 1

9514 1404 393

Answer:

  k ≈ 0.03719

Step-by-step explanation:

Fill in the given numbers and solve for k.

  750 = 600e^(6k)

  1.25 = e^(6k)

  ln(1.25) = 6k . . . . . take the natural log

  k = ln(1.25)/6 . . . . . divide by 6

  k ≈ 0.03719


Related Questions

Order these numbers from least to greatest: 5, 0, 1, -13 -1-1

Answers

Answer:

-1 1/2, -1, 0, 1/2, 1

Step-by-step explanation:

unction f(x) = (x − 4)(x − 2) is shown. On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 1), and goes through (4, 0). What is the range of the function? all real numbers less than or equal to 3 all real numbers less than or equal to −1 all real numbers greater than or equal to 3 all

Answers

9514 1404 393

Answer:

  (d)  all real numbers greater than or equal to -1

Step-by-step explanation:

The y-value of the vertex at (3, -1) is the minimum of the function. All y-values equal to or greater than -1 are in the range of the function.

  y ≥ -1

the model shows -3x + 5 + 2x - 1. what value of x makes the equation true?
a. x = -6
b. x= 4
c. x = -4
d. x= 6
please help. 30 points

Answers

Answer:

hopes this helps

Step-by-step explanation:

B -x+4

The following are six observations collected from treatment 1, four observations collected from treatment 2, and five observations collected from treatment 3. Test the hypothesis at the 0.05 significance level that the tre atment means are equal.
a) state the null and the alternate hypotheses
b) What is the decision rulec).
c) Compute SST, SSE, and SS total
d) Complete an ANOVA table
e) State your decision regarding the null hypothesis
Treatment 1
9, 7, 11, 9, 12, 10
Treatment 2
13, 20, 14, 13
Treatment 3
10, 9, 15, 14, 15

Answers

Answer:

Since the calculated value of F=0.20  does not fall in the critical region

F ≥  = 3.481 we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

Step-by-step explanation:

As the sample size are different we can run anova in the excel.

Part a)

The null and alternate hypotheses are

H0: μ1=μ2=μ 3  against the claim Ha: Not all three means are equal

The significance level ∝ is chosen to be 0.05

Part b)

The critical region is F≥ F(0.05,5,9) = 3.481

Part c) SST, SSE, and SS total

SS total= 144.933

SSE= 129.8333

SST= 15.1

A nova: Single Factor    

     

SUMMARY      

Groups Count Sum Average    Variance  

Column 1 3 32          10.67            4.33

Column 2 3 36          12               49  

Column 3 3 40        13.33     4.33

Column 4 3 36        12               7  

Column 5 2 25       12.5               0.5  

Column 6 1 10         10             ----------

The missing value in the variance column does not account for because the excel uses the mean to perform analysis.      

Part d)      

A NOVA Table    

Source              SS df MS               F P-value F crit

Of Variation

Between Groups       15.1   5 3.02 0.20        0.95        3.482

Within Groups  129.833   9 14.43                                          

Total       144.93 14                                                          

 

Part e)

Since the calculated value of F=0.20  does not fall in the critical region

F ≥  = 3.481 we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

For this exercise it is necessary to use knowledge of statistical, in this way

A) [tex]0,05[/tex]

B) [tex]3.481[/tex]

C)[tex]144.933\\129.8333\\15.1[/tex]

D) Do a new table

E)[tex]\geq 3.481[/tex]

As the sample size are different we can run anova in the excel:

A)The null and alternate hypotheses are [tex]H_0: \mu_1=\mu_2=\mu_3[/tex]  against the claim Ha: Not all three means are equal The significance level ∝ is chosen to be 0.05.  

B)The critical region is [tex]F\geq F(0.05,5,9) = 3.481[/tex]

C) SS total= [tex]144.933[/tex]

SSE= [tex]129.8333[/tex]

SST= [tex]15.1[/tex]

A nova: Single Factor    

[tex]Groups\\C1\\C2\\C3\\C4\\C5\\C6[/tex]     [tex]Count\\3\\3\\3\\3\\2\\1[/tex]     [tex]Sum\\32\\36\\40\\36\\25\\10[/tex]    [tex]Avarage\\10.67\\12\\13.33\\12\\12.5\\10[/tex]     [tex]Variance\\4.33\\4.9\\4.33\\7\\0.5\\0[/tex]

The missing value in the variance column does not account for because the excel uses the mean to perform analysis.      

D) New Table    

[tex]Source\\Between\\Within \\Total[/tex]   [tex]SS df MS\\15.15\\129.833\\144.93[/tex]  [tex]FP-value\\3.02\\14.43\\145[/tex]    

E) Since the calculated value of F=0.20  does not fall in the critical region [tex]F \geq = 3.481[/tex] we reject the alternate hypothesis and accept the null hypothesis and conclude that there is no difference between the means of the 3 treatments.

See more about statistical at : brainly.com/question/15692038

can an obtuse triangle have a 90 degree angle?

Answers

Answer:

No

Step-by-step explanation:

Obtuse has an angle that is greater than 90 degrees. To be obtuse the angle must be 91 and up. Right triangles are 90-degree angles. Acute triangles have an angle that is less than 90. So, 89 and below.

I hope I answered your question correctly.

~LampteyJ

(-8,3)(-3,-4.5) what is zero of g?​

Answers

Answer:

the daimeter of the heart of the heart of the heart

if A(2;2) and B(-3;4), determine the equation of AB, in the form y=mx+c​

Answers

Answer:

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + c[/tex]

In which m is the slope and c is the y-intercept(value of y when x = 0).

A(2;2) and B(-3;4)

When we have two points, the slope is the change in y divided by the change in x. So

Change in y: 4 - 2 = 2

Change in x: -3 - 2 = -5

Slope: [tex]m = \frac{2}{-5} = -\frac{2}{5}[/tex]

So

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

A(2;2)

When [tex]x = 2, y = 2[/tex]. We use this to find c.

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

[tex]2 = -\frac{2}{5}(2) + c[/tex]

[tex]c = 2 + \frac{4}{5} = \frac{10}{5} + \frac{4}{5} = \frac{14}{5}[/tex]

So

[tex]y = -\frac{2}{5}x + \frac{14}{5}[/tex]

Can somebody help, will give brainliest

Answers

9514 1404 393

Answer:

c = 2segments 10, 8, 6 (top down)

Step-by-step explanation:

The sum of top and bottom bases is twice the midsegment.

  (c² +6) +(c² +2) = 2(4c)

  2c² -8c +8 = 0 . . . . . . . . . subtract 8c

  2(c -2)² = 0 . . . . . . . . factor

  c = 2 . . . . . . the value that makes the binomial be zero

The value of c is 2; the segment lengths (top-down) are 10, 8, 6.

how can we rewrite the slope formula,so that we have point-slope form

Answers

this is how you would write it to get point slope formula: y-y₁=m(x-x₁)

Using the letters suggested, construct a simple formula:
A car travels a km/h for b km and makes another journey at c km/h for d km.
a. Find the total distance (s km) the car travels
b. Find the formula for the Average Speed of the entire journey.

Answers

Answer:

Speed = distance / time

Time = distance/ Speed

Distance = Speed x time

Item 2

Jake ran 145 meters before lunch and 389 meters after lunch.


How many kilometers did Jake run in all?


A. 0.00534 km


B. 0.0534 km


C. 0.534 km


D. 5.34 km

Answers

145 meters + 389 meters = 534 meters. There are 1000 meters in 1 kilometer so the total kilometers ran is 534/1000 = 0.534 kilometers.




Mathematics
10³x10³x10²​

Answers

Answer:

100,000,000/10^8

Step-by-step explanation:

10^3 = 1000

10^3 = 1000

10^2 = 100

Therefore,

= (1000) x (1000) x (100)

= (100,000) x (100)

= 100,000,000

or

= 10^8

help plssssssssssssssssss

Answers

Answer:

There’s two options for each. Look below.

Step-by-step explanation:

Savings: there is no risk of losing any money put into this account

              interest income is the only way to earn money in this type

‘investment: this account may generate income from a variety of sourses.

                  If no deposits or withdrawals are made, money held in this acct..

Answer this question please ASAP!!!

Answers

17.4%

If helped mark me the brainiest!!

Please help! I have part of the answer but I need help with the slope and understanding the solution space. Thanks!
3. (05.06 MC)
Graph the system of Inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10

y<3/4x-1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) Included in the solution area for the system? Justify your answer mathematically. (4 points)
(10 points)

Answers

Answer:

Step-by-step explanation:

Given the inequalities as

y>-2x+3

y<1/2x-2

Graph the inequalities on the graph tool

The solution is  points in the shaded area such as (2,2),(4,4),(4,2),(2,-2),(2,-4)

The point (-2,3) is not included in the solution area because it is located in the un-shaded area.

Mathematically, taking points (-2,3) into the inequality

y>-2x+3

3>-2(-2) +3

3>4+3

3>7---------------------not correct because 3<7

HELP CAN SOMEONE TELL ME THE ANSWER I CANT GET A BAD GRADE.

Answers

Answer:

34.1cm^2

Step-by-step explanation:

Area of triangle = 1/2 x base x height

=1/2 x6.2 x11

=34.1cm^2

Help, I need this as quick as possible

Answers

Answer:

multiply the top number by 4 also and what ever answer you get by doing 24×4 place that number over 100 and that number will be your percentage

Question 1
Simplify the following arithmetic expression without using a calculator:
1/2 + 7/8 X 49/8 = 7/2 - 3/32
12-1/2 x 271/2​

Answers

Answer:

0 = 0 = 0 = 0 = 0 < 1/

2

< 7/

8

< 7/

2

< 49/

8

< 12 < 271/

2

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1/

2

is less than 7/

8

is less than 7/

2

is less than 49/

8

is less than 12 is less than 271/

2

0/

8

= 0/

8

= 0/

8

= 0/

8

= 0/

8

< 4/

8

< 7/

8

< 28/

8

< 49/

8

< 96/

8

< 1084/

8

Step-by-step explanation:

13 - [(3² x 4) - 30]

Answers

Answer:

7

Step-by-step explanation:

13 - [(3² x 4) - 30]

13 - [(9 x 4) - 30]

13 - (36 - 30)

13-6

7

Answer:

7

Step-by-step explanation:

I think the answer you're looking for is 7

Simplify 5 (x + 2) + 2 (x - 5)

Answers

Answer: 7x  let me know if you need an explantion.

Is it possible for a triangle to have a 54 degree angle and a 126 degree angle? Explain why or why not.

Answers

Answer:

No

Step-by-step explanation:

Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible

Answer:

No

Step-by-step explanation:

No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.    

How many solutions
Line A: x + y = 2
Line B: 2x + y = 4

Answers

Answer:

1 solution (2, 0 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

2x + y = 4 → (2)

Subtract (1) from (2) term by term to eliminate y

2x - x + y - y = 4 - 2 , that is

x + 0 = 2

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (1)

2 + y = 2 ( subtract 2 from both sides )

y = 0

one solution is (2, 0 )

Given F(x) = 3x-2 and G(x) = 4-x2. Evaluate 2F(1) - 3G(3).

Answers

Answer:

[tex]9x^{2} -34[/tex]

Step-by-step explanation:

Use the given functions to set up and simplify [tex]2F(1)-3G.3.[/tex]

The point in the middle between 3G and 3 is a multiplication sign btw

49°
Solve for 42.
2 = [?]
44/62

Answers

Answer:

∠2 = 41°

Step-by-step explanation:

∠2 + 49° + 90° = 180°

∠2 + 139° = 180°

∠2 = 180° - 139°

∠2 = 41°

Answer:

[tex] \displaystyle \angle2 = \bigg[{41}^{ \circ} \bigg][/tex]

Step-by-step explanation:

we are given a right angle triangle

we want to figure out the missing interior angle

recall that,

one of angle measure of a right angle triangle is 90° interior angles of a triangle add up to 180°

thus our equation is

[tex] \displaystyle {49}^{ \circ} + \angle2 + {90}^{ \circ} = {180}^{ \circ} [/tex]

simplify addition:

[tex] \displaystyle \angle2 + {139}^{ \circ} = {180}^{ \circ} [/tex]

cancel 139° from both sides:

[tex] \displaystyle \angle2 = {41}^{ \circ} [/tex]

hence,

the measure of the missing angle is 41°

Write a equation to represent the hanger ,7th grade math help me

Answers

2x=11
I this this because the look at the equation it says it all or if im wrong ask your teacher

A large popcorn bag holds four times as much as a small popcorn bag. At the end of a party,

3 1/3 small bags and 2 1/4 large bags were left.


a) How many small bags would the leftover popcorn fill?


b) How many large bags would the leftover popcorn fill?


Please help me fast, also show all work and steps please:)

Answers

Answer:

A]  37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12

Step-by-step explanation:

Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.

Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.  

So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) =        [ 10 p / 3 ] +  [ (9 x 4) p / 4 ] = 10p / 3 + 9p  = (10p + 27p) / 3 = 37p / 3

A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn  = ( 37p / 3 ) / (p)  = 37 / 3 = 12 1/3

B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn   =  ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12  

Can someone please help me it’s urgent

Answers

Answer:

8.5 in

Step-by-step explanation:

You are solving for the hypotenuse right? So you would use this formula:

c = square root a^2+b^2

the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!

x = square root 4^2 + 7.5^2

x = square root 16 + 56.25

x = square root 72.25

x = 8.5 inches

For the given configuration, determine how many different licence plates are possible of (a) digits and letters can be repeated, and (b) digits and letters cannot be repeated. NO LINKS!!

Answers

9514 1404 393

Answer:

  5a,b = 17,576,000; 11,232,000

  6. 45,697,600; 32,292,000

  7. 6,760,000; 3,276,000

  8. 118,813,760; 78,936,000

Step-by-step explanation:

The number of possible ways the characters can occur is the product of the numbers of ways a character can be selected in each position. If letters or digits cannot repeat, the number of possible selections is reduced by 1 in each new location.

5a. 26×26×26×10×10×10 = 26³×10³ = 17,576,000

5b. 26×25×24×10×9×8 = 11,232,000

__

6a. 10²×26⁴ = 45,697,600

6b. 10×9×26×25×24×23 = 32,292,000

__

7a. 10⁴×26² = 6,760,000

7b. 10×9×8×7×26×25 = 3,276,000

__

8a. 26⁵×10 = 118,813,760

8b. 26×25×24×23×22×10 = 78,936,000

Does a circle have a diameter of 7.6 feet which measurement is closest to the circumference of the circle in feet?

Answers

Answer:

23.864 ft

Step-by-step explanation:

circumference = pie x diameter

   pie= 3.14                

diameter= 7.6ft

therefore, circumference =

     3.14 x 7.6 ft

=23.864 ft

roundoff to the nearest tens=23.9 ft

I think its 166 but I’m not sure x

Please help me I've been on this question for like and hour-

Answers

Answer:im so sorry i dont know this one

Step-by-step explanation:but i would try adding subtracting or divison

Answer:

21

Step-by-step explanation:

We can use a proportion to solve this problem

8 : 33.6 = 5 : OP

OP = (33.6 x 5)/8 = 21

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