The population of the bacteria triples each hour. Initially, there are 20 bacteria in the lab. Find the number of bacteria at the end of 5th hour
1620
4500
4860
5000

Answers

Answer 1

Answer:

4860

Step-by-step explanation:

Get the product of twenty and three, then multiply that to three again, repeat this for three more times.


Related Questions

see ss below
please show all work ​

Answers

Answer:

x = 117km

Step-by-step explanation:

a1 = 18 km

q = 90% = 90/100 = 0.9


a2 = a1 • q = 18 • 0.9 = 81/5 = 16.2 km

a3 = a2 • q = 16.2 • 0.9 = 729/50 = 14.58 km

n = 10

x = a1 • q^n - 1/q - 1 = 18 • 0.9^10 - 1/0.9 - 1 = 117km



Answer:

Solution given:

since Rosie walked 18 km INA first day.

so

first term[a]=18km

again

she walked 90% of what she walked the day before which means

common ratio decreasing

common ratio[r]90%=0.9

sum of 10th day[tex]S_{10}[/tex]=?

no of term (n)=10

now

we have

[tex]Sum_{10}=\frac{a(r^{n}-1)}{r-1}[/tex]

substituting value:

=[tex]\frac{18(0.9^{10}-1)}{0.9-1}[/tex]

=117.28km

in nearest 10 it is 117km

the total distance Rosie had travelled by the end of 10 days is 117km.

HURRY PLEASE!
Evaluate –5u for u = –4.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{-5u}[/tex]

[tex]\huge\textsf{= -5(-4)}[/tex]

[tex]\huge\textsf{= 5(4)}[/tex]

[tex]\huge\textsf{= 20}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{20}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Can someone help me out plz

Answers

Answer:

Around 59.69026

Step-by-step explanation:

C = Circumference (What we are looking for)

R = 9.5yd (Radius)

C = 2(Pie [I can't find the symbol])rC = 2(Pie)9.5C ≈ 59.69026

x(x - 2) = 4 please help

Answers

Answer:

[tex]x = 1 + \sqrt{5} x = 1 - \sqrt{5} [/tex]

The slopes of two lines. Determine the value of ‘a’ that will make the lines
parallel
and perpendicular

Answers

i think a is 12 sorry if it's wrong

Find the area of a regular pentagon
with a side length of 10 cm. Round to
the nearest tenth.
10 cm
[? ] cm2

Answers

Step-by-step explanation:

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Find the y-intercept of the following equation. Simplify your answer.
y = -10x -3/7

Answers

Answer: (0, -3/7)

Step-by-step explanation:

The Y-intercept would be the value of y when x is at 0, which is when the Y axis is intercepted. -3/7 is the starting position of the function when the the X = 0.

A rectangular shape of dimension 95 m by 75 m is drawn to a scale of 1 cm to 10 m . Find the area of the drawing

Answers

Answer:

71.25

Step-by-step explanation:

That's the answer

is (the number in the photo) rational or irrational?

Answers

Answer:

irrational

Step-by-step explanation:

What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only

Answers

Answer:

x=4

Step-by-step explanation:

f(x) = x^2 - 8x+16

Set equal to zero

0 = x^2 -8x +16

Factor

what 2 numbers multiply to 16 and add to -8

-4*-4 = 16

-4+-4 = -8

0= (x-4)(x-4)

Using the zero product property

x-4 = 0  x-4 =0

x=4  x=4

Solve the following given problem

Answers

Answer:

The radius is 3.5cm

Step-by-step explanation:

Given

[tex]V = 192.5cm^3[/tex]

[tex]h = 5cm[/tex]

Required

The volume (V)

The volume of the vase is:

[tex]V = \pi r^2h[/tex]

So, we have:

[tex]192.5 = 22/7 * r^2 * 5[/tex]

Divide by 5

[tex]38.5 = 22/7 * r^2[/tex]

Multiply by 7/22

[tex]12.25= r^2[/tex]

Take positive square roots

[tex]r = 3.5[/tex]

Triangle ABC is a right triangle.

Triangle A B C. Angle A is x degrees, B is 90 degrees, C is (x minus 10) degrees. The exterior angle to angle C is (2 x + 40) degrees.

Which equations can be used to find the value of x? Check all that apply.
x + 90 + (x minus 10) = 180
x + 90 + (2 x + 40) = 180
2 x + 80 = 180
x + 90 = 2 x + 40
(x minus 10) + 90 = 2 x + 40

Answers

Answer:

x + 90 + (x minus 10)= 180° can be used to find the value of x.

Answer:

A) X+90+ (x-10) - 180

C) 2x+80 = 180

D) x+90 = 2x+40

Step-by-step explanation:

What is the area
Help quick pls

Answers

Answer:

22 cm

Step-by-step explanation:

just add

Answer:

50 +  [tex]5\sqrt{6}[/tex] =

62.24744871

Step-by-step explanation:

10* 5 = 50

triangle 5^2 + x^2 = 7^2

x = [tex]\sqrt{24 }[/tex]

area triangle = 1/2 * [tex]\sqrt{24 }[/tex] *5

[tex]\sqrt{24} = 2\sqrt{6}[/tex]

area triangle =  [tex]5\sqrt{6}[/tex]

Stacy spent £12 on ingredients for bread.
She made 18 loaves and sold them for £1.10 each.
Calculate her percentage profit.

Answers

Answer:

39.4 or 40 % depending on which place you round it to

Step-by-step explanation:

18 * 1.10= 19.8      

(19.8  - 12) / 19.8 = 0.39393939...

so 39.4 or 40 % depending on which place you round it to

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the next value. Round your final answer to the nearest tenth.

A. 11.7
B. 11.9
C. 11.4
D. 14.4

Answers

Answer:

Option A, 11.7

Step-by-step explanation:

To find height,

tan 68 = 26/h

h = 26/tan(68)

to find x

tan(42) = h/x

x = h/tan(42)

x = 11.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

Write an equation
in slope y-intercept form A(2,6),m=0

Answers

Solve for b:

y = 0x + b

6 = 0 + b

b = 6

The answer is y = 0x + 6

Sally and Mia run a furniture making company. They work together to build and paint custom dressers.

Sally charges a $100 flat fee for each dresser she builds, plus $420 for each hour she spends building.

Mia charges a $150 flat fee for each dresser she paints, plus $390 for each hour she spends painting.


a) Represent what Sally charges for one dresser as a polynomial. Remember to define any variables!



b) Represent what Mia charges for one dresser as a polynomial. Remember to define any variables!



c) Write a new SIMPLIFIED polynomial that represents their total charges, together, for one dresser.

Answers

Answer:

y = 250 + 810x

Step-by-step explanation:

Let

y = total charges

x = cost per hour

Sally: building

y = 100 + 420x

Mia: painting

y = 150 + 390x

Find their total charges of building and painting

Add the total charges of both of them

y = 100 + 420x + 150 + 390x

y = 250 + 810x

There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 people use the gym and the pool. 9 people use the pool and the track. 16 people use the gym and the track. 4 people use all three facilities. How many people didn't use any facilities?​

Answers

Answer:

24 people

Step-by-step explanation:

((The numbers are up there, so I am not going to define each variable.))

For starters, there is no overlap between the double facilities groups, except the triple facility users, so:

19 + 9 + 16 - 4 = 40 people

Since there is overlap between single and double groups, you will need to subtract, so:

Gym: 73 - 19 - 16 = 38

Pool: 59 - 19 - 9 = 31

Track: 31 - 9 - 16 = 6

Total for 1 facility: 38 + 31 + 6 - 4 = 71 people

((Minus 4 because the 4 triple facility users overlap the double facility users (problem is in layers: layer 1 minus layer 2, then minus layer 3).))

Next, add the totals:

71 + 40 = 111 people (using facilities)

135 - 111 = 24 people (who didn't use any)

(((I'm not 100% sure on this answer, so if someone could check my work, that would be much appreciated.)))

Given HM = 24 and mHK = 66 , find x and y​

Answers

Answer:

x=24,y=33

hopefully this answer can help you to answer the next question

AHHHHHHHHHHHH I HATE THIS PLS HELP ME

Answers

Answer:

y = 2/3x - 13/3

Step-by-step explanation:

Implying the x and y coordinates, you get this.

Consider this equation. tan) 19 17 If 8 is an angle in quadrant II, what is the value of Cos() OA. 19 6 OB. 17 6 O c. V18 6 OD. 17​

Answers

Using trigonometric identities, it is found that the value of [tex]\cos{\theta}[/tex] is given by:

B. [tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

What is the tangent of an angle?

It is given by the division of it's sine by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, the equation given is:

[tex]\tan{\theta} = -\sqrt{\frac{19}{17}}[/tex]

That is:

[tex]\frac{\sin{\theta}}{\cos{\theta}} = -\sqrt{\frac{19}{17}}[/tex]

[tex]\sin{\theta} = -\sqrt{\frac{19}{17}}\cos{\theta}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\left(-\sqrt{\frac{19}{17}}\cos{\theta}\right)^2 + \cos^2{\theta} = 1[/tex]

[tex]\frac{36}{17}\cos^2{\theta} = 1[/tex]

[tex]\cos^2{\theta} = \frac{17}{36}[/tex]

[tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/24496175

Answer:

Hi sorry I just wanted to ask is it B or D? positive or negative?

Step-by-step explanation:

edmentum is the worst

porfavor ayudenme con esta radicacion no la entiendo√81 ∙ 49

Answers

Answer:

441

Step-by-step explanation:

sqrt81=9

9 x 49=441

Answer:

441

Step-by-step explanation:

√ 9 ^2  ⋅  49

9  ⋅  49 = 441

The height and radius of a cone are each multiplied by 11. What effect does this have on the volume of the cone?

The volume of the cone is multiplied by (Blank 1).

Answers

The volume of the new cone would be 1331 times more than the volume of the original cone. Thus, The volume of the original cone is multiplied by 1331

The volume of the cone can be calculated by the given formula:

                       The volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]

where r = radius of the cone

           h = height of the cone

Solution:

The volume of the original cone= .......1

It is given that the height and radius of a cone are multiplied by 11.

then volume

= [tex]\frac{1}{3} \pi (11r)^{2} (11h)[/tex]

= [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex] .........2

The change in volume of the cone after multiplying 11 to r and h would be

dividing equation 2 by equation 1

=  [tex]\frac{1}{3} \pi (121r^{2}) (11h)[/tex]/[tex]\frac{1}{3} \pi r^{2} h[/tex]

= 121*11

= 1331

Thus, The volume of the original cone is multiplied by 1331

Learn more about the volume of the cone:

https://brainly.com/question/1315822

What statement describes the graph?

Answers

Answer:

D.

Step-by-step explanation:

The gragh crosses the y-axis at (0,-5), decreasing from x=-10 to x=-2 and remaining constant from x=-2 to x=10

To join the tennis club, there is a $10.20
initial fee and a $3.90 yearly fee. What
would be the value of the slope in this
situation?
Use this space to write down notes or work through problems
Your teacher will see what you wrate.

Answers

Answer:

10.20

Step-by-step explanation:

Let

y = Total fee

Initial fee = $10.20

Yearly fee = $3.90

Number of years = x

The equation:

y = 3.90x + 10.20

Recall,

y = mx + c

Where,

x = slope

c = y - intercept

Therefore,

The y - intercept from y = 3.90x + 10.20 is 10.20

Question 5 of 41
Which of the following best describes the volume of a solid?
A. It is the sum of the base area plus the lateral area of the solid.
B. It is the amount of three-dimensional space inside the solid.
C. It is the distance around the base of the figure.
D. It is the total area of the exterior surface of the solid.
SUBMIT

Answers

It is the amount of three-dimensional space inside the solid

B. It is the amount of three-dimensional space inside the solid.

What is volume?

Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a solid is the measure of the amount of three-dimensional space that is occupied by the solid.

It is a measure of the physical space that the solid occupies in three-dimensional space. It is different from the surface area or perimeter of a solid which measure the amount of space that is taken up by the solid in two dimensions.

In summary, the volume of a solid refers to the amount of three-dimensional space that is enclosed by the solid, and it is an important measurement in many fields including engineering, architecture, and physics.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ7

URGENT PLS HELP<3 Each person needs to rent a helmet for $5. Write the expression for the total cost for the helmets.

Answers

Answer:

5n

Step-by-step explanation:

cost of one helmet = $5

let 'n' be the number of person that is n=1,2,3,4........

note that the value of n is always a natural number

therefore the expression = 5n

where 5 is the cost one helmet

n is the number of persons

5n is the answer. N is the number. Hope this helps

What are the solutions to the system of equations?

{y=x²−4x+8
y=2x+3

Answers

Answer:

x = 1, y = 5

x = 5, y = 13

Step-by-step explanation:

y = x² − 4x + 8 .......(1)

y = 2x + 3 .......(2)

Substitute the value of y in equation 2 into equation 1

y = x² − 4x + 8

y = 2x + 3

x² − 4x + 8 = 2x + 3

Rearrange

x² − 4x − 2x + 8 − 3 = 0

x² − 6x + 5 = 0

Solve by factorization

Find the product you x² and 5. The result is 5x²

Find the factors of 5x² such that their sum will result in −6x. The factors are −x and −5x.

Replace −6x in the equation above with −x and −5x. This is illustrated below:

x² − x − 5x + 5 = 0

x(x − 1) − 5(x − 1) = 0

(x − 1)(x − 5) = 0

x − 1 = 0 or x − 5 = 0

x = 1 or x = 5

Substitute the value of x into equation 2 to obtain the value of y.

y = 2x + 3

x = 1

y = 2(1) + 3

y = 2 + 3

y = 5

x = 5

y = 2x + 3

y = 2(5) + 3

y = 10 + 3

y = 13

SUMMARY:

x = 1, y = 5

x = 5, y = 13

ABC is a right-angled triangle. Angle B = 90. Angle A = 36. AB = 8.7 cm. Work out the length of BC. Give your answer correct to 3 significant figures.

Answers

Answer: About 6.321 cm

Step-by-step explanation:

[tex]tan(x)=\frac{opposite}{adjacent}[/tex]

[tex]tan(36)=\frac{x}{8.7} \\\\x=8.7*tan(36)=6.3209...[/tex]

Nick drew a rectangular political cartoon that measures 2 inches by 4 inches. He wants to enlarge the cartoon by a scale factor of 3 for a poster presentation. The area of the original cartoon will be what fraction of the area of the enlarged cartoon?

Answers

Answer:

I believ the answer is 6/12 or 1/2

Step-by-step explanation:

2x3 = 6 and 4x3 = 12 and 6/12 simplified would be 1/2

Answer:

I believe the answer is 6/12 or 1/2

Step-by-step explanation:

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