Dr. Rodriguez does an experiment with bacteria. She starts with 100 bacteria and records
the number of bacteria every hour after the experiment starts. Assume that the bacteria
growth continues in the pattern shown.
Bacteria Data
S
900
800
700
600
500
400
300
200
100
0
0
2
3
number of hours (x)
A. How many bacteria will there be 5 hr after the experiment starts? Show your
work algebraically, and explain how you found your answer.
B. Write an exponential equation of the form ya.b to represent this situation
Explain why you chose the values of a and b that you did.
C. Using your equation from Part B. find how many bacteria there will be 8 hr after
the experiment starts. Show your work algebraically, and explain how you found
your answer
number of bacteria ()

Answers

Answer 1

Answer:

500

Step-by-step explanation:

100x<5x=500


Related Questions

ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically​

Answers

Answer:

there was 12 pencil's in each package because 12 ×4=48 48 -8=40

Aiden and Haisem are going to eat the same amount of hamburgers and fries, but from different restaurants. Aiden goes to Burger King and spends $4.75. Each burger costs $1.25 and fries cost $0.50. Haisem spends $6.48 at McDonalods. Each burger costs $1.50 and fries cost $0.99. How many burgers and fries did Aiden and Haisem each buy?

Answers

Answer:

the burgers be 3 and fries be 2

Step-by-step explanation:

The computation is shown below:

Let us assume burgers be x

And, the fries be y

Now according to the questiojn

1.25x + 0.50y = $4.75

1.50x + 0.99y = $6.48

Now multiply by 1.2 in the first equation

1.50x + 0.6y = $5.70

1.50x + 0.99y = $6.48

-0.39y = -0.78

y = 2

Now put the value of y in any of the above equation

1.25x + 0.50(2) = $4.75

x = 3

Hence, the burgers be 3 and fries be 2

!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties of a kite, trapezoid, square, rectangle, parallelogram, rhombus?

Answers

Answer:

In short, they are all quadrilaterals.

Step-by-step explanation:

Rectangle:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

Square:

- Every angle equals 90 degrees

- Opposite sides are equal and parallel

- Diagonals within the square are perpendicular

Parallelogram:

- Opposite sides are equal and parallel

- Opposite angles are equal

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Rhombus:

- Opposite angles are equal

- All sides are equal

- Opposite sides are parallel

- Diagonals within the square are perpendicular

- Any two angles next to each other have to equal 180 degrees, since it would be a line

Trapedzoid:

- There is only one pair of parallel lines

Kite:

- There are two pairs of equal signs

- There are two equal angles

- You can look at it like two equal triangles glued together

Really hope this helped you!

JT
Evaluate cot
3
0
2-3
3
V2
0 2
V3
3

Answers

Answer: D

Step-by-step explanation:

The solution is, the required value is cot(π/3) = √3/3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

we know that,

note :

cot a = cosa /sina

here,

so : cot(π/3) = cos(π/3)/sin(π/3)

but : cos(π/3) = 1/2  

and   sin(π/3) = √3 /2

now, we get,

cot(π/3) = (1/2) / (√3 /2)

             = (1/2)×(2/√3 )

             = 1/√3

             = (1×√3)/( √3 ×√3)

             = √3/3

Hence, The solution is, the required value is cot(π/3) = √3/3

To learn more about trigonometric relations click :

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The price of a hot tub was marked down by $250. The original price of the hot tub was $3,600. What was the percentage rate of the discount (to the nearest
tenth of a percent)?
5.8% rate of discount
7.2% rate of discount
6.9% rate of discount
8.5% rate of discount
None of these choices are correct.
ОООО

Answers

Then what’s the point

6.9% discount

(6.9% of 3,600 is 248.40 but the question says to choose the closest answer)

If I cut a cake into equal parts and one slice = 3.333, where would I find the 0.001?​ (total of slices = 10)

Answers

Step-by-step explanation:

That is so because 1/3 is *not exactly equal to* 0.333333

0.333333 is an approximation of 1/3 which is correct to 6 decimal places.

So 0.333333 x 3 = 0.999999 which is approximately equal to 1.

If you want to be more accurate, you could write the fraction 1/3 everywhere and not write it in floating point form.

1/3 in floating point format will be 0.333333333…..and so on with infinite decimal places. This is because when you try to divide 1 by 3, you get a nonterminating recurring number after decimal point.

Its usually represented by a bar or dot on top of the recurring part

Ex. 1/3 = 0.3bar

(Sorry I can't get the bar on 3 by typing from keyboard)

But let's just say 0.3 bar is 0.333333…and so on to infinity.

When you multiply 0.3bar x 3 you get 0.9bar

= 0.999999….and so on to infinity.

These decimal point figures just a very great approximations of the fraction 1/3.

Hope this helps. Feel free to reply if you still have doubts.

what is the greatest common multiple of 96,48,84

Answers

Answer: 12

Step-by-step explanation: 96-84=12

I dont really know how i did it I just did.

Help me ggfsnjsheejhdbshsjsnsjshwn

Answers

Wheres the picture??

Answer:

x=29

Step-by-step explanation:

Since this is a straight line, it has to be 180 degrees in total.

Solve x+35+4x=180.

Add the similar numbers. (5x+35=180)

Subtract 35 to 180 (145)

Solve for this by divding 145 by 5: 5x=145

145/5 = 29

So, x = 29.

(To check your answer, subsitute it in. 4x29 = 116. 29+35=64. Add both numbers together, making it equal to 180.)  

easy question answer plssss

Answers

Answer:

Y = 1

Step-by-step explanation:

Proportional

Answer:

y=1

Step-by-step explanation:

Because they are proportional, the two points have to be equal if they were like a fraction. This means (15,3) would be 15/3 which is equal to 5. The other point is (5,?), so that means that the point will have to be 1. This is because then the point will be equal to 5.

Hope this helps

7. Angles that are complementary
add up to 90 degrees. If two
complementary angles are in the
ratio of 4:1. how large is the larger
angle?

Answers

Answer:

72 degrees is the larger angle

Step-by-step explanation:

SImple ratio problem

So we got a ratio of 4:1 that eqauls to 90 degrees when added up. We can jsut add the 2 numbers 4+1 which will be 5. Now divide 90 by 5 which will equal 18. Now we multiply 18 by each number int he same order of the ratio.

4*18: 1*18

72:18 which equals 90. SInce they ask for the larger angle the answer will be 72.

Jamie practices singing for 45 minutes every day. Which equation represents the relationship between the total number of minutes (t) and the number of days (d) Jamie has practiced?

d = 45t

d = 45 + t

t = 45d

t = 45 + d

Answers

The answer is: t=45d.
T=45d minutes= 45minutes by how many days

Tino bought a piece of granite
that is 5 feet long. The cost
of the granite is $3.50 per
foot, including tax. What is the
total cost, in dollars, of Tino's
granite purchase?

Answers

The answer is $17.5.
How I did it-
All you need to do was multiply $3.50 x 5

Determine the surface area from the folllowing nets. Type the answer in the space provided (no units needed). If the answer is correct a mystery picture will appear. (Zo om in for bigger picture of dimensions)

Answers

Answer:

#1

Surface area is the sum of 3 rectangles and 2 triangles:

S = 8*6 + 9*6 + 8*3 + 2(1/2*3*6) = 144 ft²

#2

Surface area is the sum of 1 square and 4 triangles:

S = 5*5 + 4*(1/2*3*5) = 55 ft²

Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode in the trail for 5 5/6 miles and then rode back home. Which addition sentence shows many miles Gretchen rode in all?

Answers

Answer:

85/12. figure out which one the answer is now, just convert 85/12 to a mix number

Step-by-step explanation:

5/4 + 35/6 = 85/12.

Answer:

The correct answer is D

Step-by-step explanation:

Find the value of t if the value of 3x+5x –2t equals to 8, when x=- 1

Answers

Answer:

t=-8

Step-by-step explanation:

-3+-5-2t = 8

-8 -2t = 8

t = -8


Tell whether x and y show a positive, a negative, or no correlation.
so 12
45
40
20
15
10
.
5
5
10 15 20 25 30 35 40 45 SO

Answers

Answer:

her 9PM and a lot are a little too short

hiii please answer !!

Answers

Answer:

21 and 35

Step-by-step explanation:

Prime factorization of 21 is 3*7

Prime factorization of 35 is 5*7

Answer:

21 and 35

Step-by-step explanation:

Mrs. Lee teaches 132 students every day. On a particular day, one-fourth of her students are sick and 24 go on a field trip. In addition to these absences, she gets three new students. How many students does she teach on this day?

Answers

Answer: 78

Step-by-step explanation:

Given

Mrs. Lee has [tex]132[/tex] students

On a particular day, one-fourth of her students are sick i.e.

[tex]\Rightarrow \dfrac{1}{4}\times 132=33[/tex]

and 24 were on a field trip.

The total no of students taught on that day will be the subtraction of the gone students and the addition of three new.

[tex]\Rightarrow 132-33-24+3\\\Rightarrow 78[/tex]

HELPPP PLEASE
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,160) and (8,320) to find
the number of soda bottles the machine can make
each minute

The machine can make __ soda bottles each minute.

Answers

Answer:

Step-by-step explanation:

1

make. Use the points (4,160) and (8,320) to findthe number of soda bottles the machine can makeeach minuteThe machine can make __ soda bottles each minute.

Susan bought two toys. One toy is $6.50 more than the other. The two toys cost $86.50 together. Write an equations and let x = the cost of one of the toys.

Answers

Answer:

$86.50 - $6.50 = $80.00

$80/2  = $40

$40 + $6.50 = $46.50

Step-by-step explanation:

Find the area of the polygon.

Answers

Answer:400

Step-by-step explanation: 400

Answer:

Solution given:

diagonal 1=AC=5+5=10 units

diagonal 2=BD=4+5=8units

area of polygon (rhombus)=½*(diagonal 1*diagonal 2)

=½(10*8)=40square units

Area=40square units

A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?

Question 1 options:

A: 39 cm cubed


B: 16 cm cubed


C: 140 cm cubed

Answers

Answer: 140

Step-by-step explanation:


It’s C: 140 cm cubed

I purchased a new gaming system on opening night. Sincel amore of the first 100 customers to purchase the system, the store gives me a 20% discount off of the regular cost. Il pay $500 for the gaming system at the discounted price, what is the regular cost of the gamning system?"​

Answers

Answer:

Answer:

2500

Step-by-step explanation:

50020%50020%

Convert 20%20% to a decimal.

5000.25000.2

Divide 500500 by 0.20.2.

2500

Factor each expression below.
a. 16x − 4 =
b. −10x 5x2 =
c. 30y − 24x =

Answers

A) Answer:

4 (4x - 1)

B) Answer:

-5x ( 2 + x )

C) Answer:

6 (5y - 4x)

hope it helped.

a = 12.9 cm, = 9.4 cm and c = 6.9 cm for the triangle shown below.Work out the value of x rounded to 1 DP.The diagram is not drawn to scale.

Answers

Answer: do u want my love

Step-by-step explanation:

Identify two segments that are marked congruent to each other on the diagram below. ANSWER CORRECTLY !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!! (Two capital letters each )

Answers

We have a parallelogram, and we want to identify two segments that are parallel. then LO is parallel to MN.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Here We can see that ON is parallel to LM and LO is parallel to MN

Because this is a parallelogram  as we know this because there is a 90° angle at N, the opposite sides are parallel.

So from this, we can conclude that sides ON and LM are opposite, then ON is parallel to LM

With the same reasoning, LO is parallel to MN.

Learn more about congruent triangles;

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Which term correctly describes the figure shown below?

An obtuse triangle ABC is shown. Angle A is 25 degrees, angle B is 110 degrees, and angle C is 45 degrees. Side AB is 6 meters, side BC is 4 meters, and side AC is 9 meters.
A. acute triangle
B. obtuse triangle
C. parallelogram
D. right triangle

Answers

Answer:

it is triangle probality acute or scalene triangle

Find the length of AB.
AB= [ ? ]in

Answers

Arc AB is equal to 3.14

Write an equation in point-slope form.
a. m= -3, (-2,-1)

Answers

y+1=-3(x+2) .. hope this helps!

I don't know what is true about 3x9? A. It is 3 is more than 9 B. It is 3 is less than 9 C. It is 3 times as much as 9 D. It is 3 times smaller than 9

Answers

Answer:

C. It is 3 times as much as 9

Step-by-step explanation:

3 * 9 = 27

Using elimination method;

A. It is 3 is more than 9

3 + 9 ≠ 27

This is incorrect.

B. It is 3 is less than 9

3 - 9 ≠ 27

This is incorrect.

C. It is 3 times as much as 9

3 * 9 = 27

This is the correct option.

D. It is 3 times smaller than 9

9 / 3 ≠ 27

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Why was it necessary for the Second Continental Congress to outline the structure of government? (3 points) aIt needed to explain how the government would work once independence from Britain was declared. bIt needed to have the power to create an army and house it during the War of Independence. cIt needed to have the power to raise taxes to pay for the effects of the War of Independence. dIt needed to explain what rights citizens would have in the new country. What is the measure of ZABC in the figure below?1545B15A. 15 o oB. 30C. 45D. 90E. 15F. Cannot be determinedO The circle graph shows how a family budgets its annual income. if the total annual income is $130,000, ehat amount is budgeted for clothing?$? Draw a mapping diagram for the givenrelation. Is it a function?{(3,-1), (6, 4), (8,4)}? What variable do you eliminate?4x + 8y = 20- 4x + 2y = -30 The cost of renting an apartment in the downtown city area is increasing by 4% each year. Currently, the average rent fora one-bedroom apartment is $500. How many 18" square tiles are needed to pave the door of a patio that measures18 by 15 "Could you please help me? I have a question that is honestly NOT a homeworkquestion. I am a Junior here at LTHS. "Could a man with type B blood and awoman with type AB produce a child with type O blood?" I think not, becausetype O is recessive, and the B's seem to be dominant. My cousin thinks yes.Thank you for your help." PLEASE HELP!!!!!!!!!! SOMEONE HELP QUICK! (question in the picture) .How do ordinary people participate directly in a genocide? ANSWER PLEASE!!! PLS HELP !!!!!! I need this pls someone -15a - (-12b) -80c + 6d=3A =1/3 B= 1/4C= -1/10 How does electrical energy travel? 1. through wires (conductor)2. through an insulator3. through space Which detail best supports the inference that the narrator may have suspected hamlet of cheating more than once? A. I looked down, a familiar hurt washing over me.B. ...images some of the girls at school were only to happy to have on hand for weeks afterward.C. Months later, my desire to punch him for whatever the context was had only slightly diminished.D. Hamlet leaned back in his chair. Graph f(x) = 2x - 1. Which of the following graphs is correct? Zoologists studying two populations of tigers conducted a two-sample t-test for the difference in means to investigate whether the tigers in population X weigh more, on average, than the tigers in population Y. Two independent random samples were taken, and the difference between the sample means was calculated. All conditions for inference were met, and the test produced a p-value of 0.02.Which of the following is a correct interpretation of the p-value?The probability that the mean weight for tigers in population X is greater than that for population Y is 0.02.AThe probability that the mean weight for tigers in population X is equal to that for population Y is 0.02.BAssuming that the mean weights for populations X and Y are equal, the probability of observing a difference equal to the sample difference is 0.02.CAssuming that the mean weights for populations X and Y are equal, the probability of observing a difference as great or greater than the sample difference is 0.02.D During meiosis, chromosomes will split into daughter cells randomly, making each gamete unique. This is called __________________. What is the Mean Absolute Deviation of the following set of numbers? 16, 21, 17, 22, 16, 16A) 2.15 B) 2.28 C) 2.33 D) 2.47 Complete the sentence with the synonym for copy.3. Robots can't think, but they canbeingwatchthe actions of a hamonstudyimitate