A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 • 3x models the number of bacteria after x hours. Estimate when there will be about 550 bacteria in the culture.

Answers

Answer 1

Answer: About 5.2 Hours

Step-by-step explanation:

550= 35 x 3x

183.33= 35x

5.2 = x


Related Questions

Attachment no explanation only answer

Answers

Answer:

y=x+1

Step-by-step explanation:

The slope intercept form of a line is y=mx+b, where m is the slope of the line and b is the y intercept. Since the line rises one unit for every one unit it moves to the right, it has a slope of 1. Since it intersects the y axis at the point (0,1), it has a y intercept of 1. Therefore, the equation is y=x+1. Hope this helps!

Answer:

Hey!

Y= x + 1 is your answer!

Step-by-step explanation:

hope this helps!

Find the area of an isosceles triangle with perimeter of 40 feet and a base of 12 feet. Round to the nearest whole number.

Answers

Answer: 76 ft2

Step-by-step explanation:

Perimeter = 2 side length +base length

40 = 2s +12

Solving for s:

40-12 =2s

28 =2s

28/2=s

14ft =side

Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)

Replacing with the values given:  

14^2= 6^2 + x^2

196 = 36 + x^2

196-36 = x^2

160 = x^2

√160 = x

x = 12.64 (height)

Area of an isosceles triangle = 1/2 x base x height  

A = 1/2 x 12 x 12.64 = 76 ft2

Create your own ratio. Be sure to describe the ratio in words first and then write the ratio as a fraction

Answers

[tex]7:3[/tex]

The ratio of 7 to 3.

The ratio as a fraction would be:

[tex]\frac{7}{3}[/tex]

Which of the following lists of ordered pairs is a function?
A) (1,1), (2,2), (3,1), (3,2)
B) (-2,3), (2,4), (-3,6), (3,7)
C) (0,3), (-1,4), (1,6), (-1,7)
D) (2,5), (3,-4), (4,7), (2,2)

Answers

Answer:

B

Step-by-step explanation:

its B because the input for every pair has the same output, if the input had different outputs it would be considered not a function. Imagine it like a vending machine, if you were to press 3 on the vending machine you would get whatever 3 was, but if you pressed 3 and you get something else besides whatever 3 is it would be broken. I hope this was helpful, I struggled learning this stuff but now I got it down lol.

The sum of three numbers is 54. The third number is 2 times the second. The second number is 10 more than the first. What are the numbers?

Answers

Answer:

8, 18 and 36 respectively.

explanation

sum=54

1st number=x

2nd number=x+10

3rd number =2(x+10)=2x+20

x+x+10+2x+20=54

put the liketerms together

x+x+2x=54-10-20

4x=24

divide both sides by 4 to get

x=8

Input the other values

Billy Bob has a fish tank shaped like a rectangular prism
that is 20 cm by 20 cm by 16 cm. What is the volume of the
tank? Show your work.

Answers

Answer:

[tex]6400{cm}^{3} [/tex]

Step-by-step explanation:

Since this is a rectangular prism, simply multiply all the lengths together:

20×20×16 = 6400

How many days will it take a culture of bacteria to increase from 2000 to
50,000? Use k = 0.657.​

Answers

Answer:

5 days

Step-by-step explanation:

Given: bacteria to increase from 2000 to  50,000

To find: Number of days that a culture of bacteria will take to increase from 2000 to  50,000

Solution:

The growth of bacteria is represented by the equation: [tex]P(t)=P_0e^{kt}[/tex]

Here, t denotes time, k denotes growth rate and [tex]P_0[/tex] denotes initial population of bacteria.

Take [tex]P_0=2000[/tex], [tex]P(t)=50000[/tex] and [tex]k=0.657[/tex]

[tex]50000=2000e^{0.657t}\\\frac{50000}{2000}=e^{0.657t}\\25=e^{0.657t}\\0.657t=\ln 25\\t=\frac{\ln 25}{0.657}=4.9\approx 5\,\,days[/tex]

give the equation for the new circle obtained by translating the circle (x-2)^2+(y+4)^2=36 by 6 units to the right and 4 units up explain and show your work please

Answers

Answer:

equation for the new circle is;

(x - 8)² + y² = 36

Step-by-step explanation:

There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,

(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.

This gives us;

(x - 2 - 6)² + (y + 4 - 4)² = 36

This gives;

(x - 8)² + y² = 36

state the coordinates of the endpoints of a line segment that is not parallel to either axis, and does not intersect either axis.

Answers

Answer:

Step-by-step explanation:

(2, 3) and (5, 6) are the endpoints of a line segment that is not parallel to either axis and does not intersect either axis.

What is  coordinate of  point line?

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y coordinate.

What is line segment?

A line segment is a piece or a part of line having two end points.

Since, a line segment is parallel to the either one axis if its one coordinate point is zero, whether it's y or x.

So for not parallel to either axis and does not intersect either axis  we will choose those points which are not zero.

Therefore,

The coordinates of the end points of a line segment that is not parallel to either axis and does not intersect either axis will be (2, 3) and (5, 6).

Similarly, you can use any point using this concept like (7,9) ad (2,3) and many.

Learn more about line segment here:

https://brainly.com/question/25727583

#SPJ2

In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?

A. 8/21

B. 2/7

C. 1/3

D. 2/3

Answers

Answer:

b 2/7

Step-by-step explanation:

Because there is a 6/21 chance and 2/7=6/21

Scientific notation
9 * 10^12 ÷ 4.5 × 10^12

Answers

Answer:

2*10 ^0 = 2

Step-by-step explanation:

9 * 10^12 ÷ 4.5 × 10^12

Divide the numbers

9/4.5

=2

Divide the exponents by subtracting

10^12 ÷  10^12 = 10 ^(12-12) = 10^0

Put them back together

2 * 10 ^0

2

help me please! I NEED TO HAND IT IN NOW ​

Answers

Answer:

4n + 4

Step-by-step explanation:

Azhar - n years old now.

Last year he was  (n-1).

His mother was 4(n -1) last year.

Now his mother 4(n-1) + 1.

7 years later she will be 4(n - 1)  + 1 + 7 = 4n - 4 + 8 = 4n + 4

After selling tickets to a play, Jonah realizes that he has twice as many one dollar bills as he has five dollar bills, and he also has 6 less ten dollar bills as he has one dollar bills. If his total money with these bills is $237, how many five dollar bills does he have

Answers

Answer:

He had 11 five dollar bills.

Step-by-step explanation:

Since Jonah realized that he had twice as many one dollar bills as he has five dollars bills, and 6 less ten dollar bills as he has one dollar bills, if we say that the number of one dollar bills he has is "x", then the number of five dollar bills and ten dollars bills will be:

five dollar bills = [tex]\frac{x}{2}[/tex]

ten dollar bills = [tex]x - 6[/tex]

Since the total money he had was [tex]237[/tex], then the sum of all the bills he had multiplied by it's respective values must be equal to that:

[tex]\text{(one dollar bills)} + 5*\text{(five dollar bills)} + 10*\text{(ten dollar bills)} = 237\\x + 5*\frac{x}{2} + 10*(x - 6) = 237\\x +\frac{5*x}{2} + 10*x - 60 = 237\\11*x + \frac{5*x}{2} = 237 + 60\\\frac{22*x + 5*x}{2} = 297\\27*x = 297*2\\x = \frac{594}{27} = 22[/tex]

Therefore he had 11 five dollar bills.

Need help ASAP it’s geometry!!

Answers

The answers are:

X=6

EF=34

FG=25

Answer:

EF = 34, FG = 25

Step-by-step explanation:

EG is the total of the two smaller segments, EF and FG.

Therefore:

8x-14 + 4x+1 = EG

8x-14 + 4x+1 = 59

Now we can solve this equation.

8x-14 + 4x+1 = 59

12x-13 = 59

12x = 72

x = 6

Now, we can plug in the values of x into the expressions for the lengths of EF and FG:

EF

8x-14

8(6)-14

48-14

= 34

FG

4x+1

4(6)+1

24+1

= 25

Write the equation in both factored and standard form?

Answers

Answer:

Factored Form:        x = y/2 + 7

Standard Form: 2x - y = 14

Step-by-step explanation:

x^2-2xy+y2 is a polynomial of ___________variable?

Answers

Answer:

x and y

Step-by-step explanation:

Answer:

2 variable x and y ( varable are the symbol that can take any balue in a expression)

What is true of the function g(x) = –2x2 + 5? g(x) is the multiplication of g and x. –2x2 +5 is the input of the function. The variable x represents the independent variable. The variable g represents the input of the function.

Answers

Answer:

Step-by-step explanation

Here, we want to select what is true of the function.

The correct answer is that the variable x represents the independent variable

It represents the independent variable because the values of x does not depend on the values of g(x). In fact, the value of g(x) are dependent on the values gotten through the substitution of the different values of x into the equation.

Thus, we can confidently say that the function g(x) is the dependent variable as its values depend on the value for that x

Question:

What is true of the function g(x) = –2x2 + 5?

Answer:

C.) The variable x represents the independent variable.

plz help with this question fast

Answers

Answer:

The answer is C; y=x+2

Step-by-step explanation:

y=mx+b (3, 5)

5=1(3)+b

5=3+b

subtract 3 from both sides of the equation

2=b

equation; y=mx+b

                y=x+2

Answer:

C. y = x + 2

Step-by-step explanation:

→You can figure this out by using the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=1(x-3)[/tex]

→Distribute the 1 to (x - 3):

y - 5 = x - 3

→Add 5 to both sides:

y = x + 2

When you put your powerade into your refrigerator its temperature is 48 F. If the refrigerator can cool drink at 3.75 F per hour, what will be the temperature of your Gatorade after 2 hours

Answers

Answer:

40.5

Step-by-step explanation:

3.75 * 2 = 7.50

48 - 7.50 = 40.5

someone tell me what this is

Answers

Answer:

D. y/-1 = f(x)

Step-by-step explanation:

because if you were to move the -1 to the other side by multiplying both sides by -1, you would get f(x) times -1 which would give you the negative equivalent of the original equation f(x)

you can try it out in a graphic calculator like Desmos which is an online graphic calculator

Please at least thank if you found helpful

You want to have your carpet cleaned in your living room which measures 11’ by 14’. A company charges $2.75 per square foot and company B charges $450 per room. Which company should you hire to get a better deal?

Answers

Answer:

Since, company A charge of $423.5 is less than company B charge of $450

Hence,

Company A should be hired to get the better deal.

Step-by-step explanation:

Dimension of room: 11 * 14 foot

Area of rectangle is given by length * width

Thus,

area of room using above formula = 11*14 square foot = 154 square foot

For company A

charge  for 1 square foot = $2.75

Charge for room = charge  for 1 square foot * area of room

                           = 2.75 * 154 = 423.5

Thus, Total money charged by company  A as calculated above is $423.5

Given,

company B charges $450 per room

Since, company A charge of $423.5 is less than company B charge of $450

Hence,

Company A should be hired to get the better deal.

Answer:

Company B

Step-by-step explanation:

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer and 0 for answer not attempted. Ram gets 3 correct and 4 incorrect out of 7 questions he attempted. What is his score?​ please help its maths

Answers

Answer: His score is 7.  

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Correct answer = +5

Incorrect answer =-2

Unattempted =0

Ram gets 3 correct and 4 incorrect out of 7 questions.

He attempted 7 questions (3 correct +4 incorrect) so, there are not unattempted questions.

Next, we have to multiply the number of correct questions by the marks given for each correct question ( some process for the incorrect questions)

3 correct = 3 (5) = +15

4 incorrect = 4 (-2) = -8

Adding both results:

+15-8= 7

His score is 7.  

Feel free to ask for more if needed or if you did not understand something.

Please help with math will mark brainiest!!!!

Answers

Answer:

[tex]54.5 \: ft^2 [/tex]

Step-by-step explanation:

Area of the figure = Area of rectangle + Area of both triangles

[tex]= 11\times 4 +\frac{1}{2} \times 3 \times 4 +\frac{1}{2} \times 3 \times 3\\=44 + 3\times 2+ 3\times 1.5\\= 44 + 6 + 4.5\\=54.5 \: ft^2[/tex]

I’m really stuck on this ☹️

Answers

Answer:

2 adults and 2 senior citizens.

Step-by-step explanation:

There are 8 children, which means we need to take the number that represents the children from the graph which is 4 and multiply it by the 8 children going.

1. 4x8=32

So we have found the total for the 8 children, however there are 4 spots left

We take the total from the #1 and add 2 adults and 2 senior citizens.

32+6+6+3+3=50

We then come to the conclusion of 2 adults and 2 seniors.

Factor completely 2x2 + 6x − 80. (2x − 5)(x + 8) (2x − 10)(x + 8) 2(x − 5)(x + 8) 2(x − 10)(x + 8)

Answers

Answer:

2(x+8)(x-5)

Step-by-step explanation:

2x^2 + 6x − 80

Factor out a 2

2(x^2 + 3x − 40)

What 2 numbers multiply to -40 and add to 3

8*-5 = -40

8+-5 = -3

2(x+8)(x-5)

The right answer is 2(x-5)(X+8)

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Which cannot be the angle measurements of triangle ABC?

Answers

Answer: D is incorrect

Step-by-step explanation:

y
6
A
Which graphs are inverses of one another?
Graph A and B
Graph A and C
O Graph B and C
none of the graphs shown
С
DONE
&
6
Intro

Answers

Answer: Graph A and C

Step-by-step explanation:

Answer: a&c

Step-by-step explanation:

2020edg

If an 8 hour work day includes a total break time of 22 1/4%, how many hours are used for breaks?

Answers

Answer:

1 39/50 hours. This is equivalent to 1.78 hours.

Step-by-step explanation:

The sum of the hours of work and the hours for break gives the work day hour which has been given as 8 hours.

Furthermore, given that the break time is 22 1/4%, the number of hours for break

= 22 1/4% × 8 hours

= 89/400 × 8

= 1 39/50 hours

Can someone please help me ?

Answers

Answer:

yes3244

Step-by-step explanation:

i will help 5642

1 of 5
What is the nth term rule of the quadratic sequence below?
8, 16, 26, 38, 52, 68, 86,...
Tn=

Answers

Answer:

[tex]n^2+5n+2[/tex]

Step-by-step explanation:

Given the sequence

8, 16, 26, 38, 52, 68, 86,...

The nth term of a quadratic sequence will take the form:

[tex]an^2+bn+c[/tex]

Step 1: Find the difference between each term

The differences are: 8,10,12,14,...

Step 2: Find the differences between the differences

We notice an addition of 2, so the second difference is 2.

Step 3:

Take the half of the second difference to obtain a.

2/2=1

Therefore: a=1

The sequence for now is: [tex]n^2+bn+c[/tex]

Step 4: Find [tex]T_n-n^2[/tex]

[tex]T_1=8, T_1-1^2=8-1=7\\T_2=16, T_2-2^2=16-4=12\\T_3=26, T_3-3^2=26-9=17[/tex]

We notice that [tex]T_n-n^2[/tex] forms a linear sequence 7,12,17

We can write this as 2+5n

Therefore, Our nth rule for the quadratic sequence is therefore: [tex]n^2+5n+2[/tex]

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