Help asap 20 points

select the correct answer.
the table gives the number of bacterial cells in a colony over time.

time (hours) cell population
0 125
2 162
4 258
6 374
8 518
10 763
fit an exponential model to the data. based on this model, what is the best prediction for the number of cells in the colony at 16 hours?

a.
1,200
b.
2,300
c.
1,600
d.
2,700

Answers

Answer 1

Answer:

2,300

Step-by-step explanation:

Plato

Answer 2

The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The table is given below.

Time (hours)                Cell population

      0                                 125

      2                                 162

      4                                 258

      6                                 374

      8                                 518

     10                                 763

Then the equations are given as,

125 = a            ...1

763 = ab¹⁰           ...2

From equations 1 and 2, then we have

b¹⁰ = 763/125

b² = 6.104

b = 1.2

Then the equation is given as,

y = 125(1.2)ˣ

Then the best prediction for the number of cells in the colony at 16 hours will be

y = 125(1.2)¹⁶

y = 2311.05

y ≈ 2300

The best prediction for the number of cells in the colony at 16 hours will be 2300. Then the correct option is B.

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Related Questions

Carrie drew two acute non-overlapping angles that share a ray and labeled them LADB and LBD The two angles have the same whole number measure. What is the least possible measure of LAD What is the greatest possible measure of LADC? O A. least: 2° greatest: 88°Carrie drew two acute non-overlapping angles that share a ray and labeled them LADB and LBD The two angles have the same whole number measure. What is the least possible measure of LAD What is the greatest possible measure of LADC?

Answers

Answer:

  B.  least 2°; greatest 178°

Step-by-step explanation:

The measure of ∠ADC will be the sum of the measures of the two acute angles ADB and BDC.

__

Each acute angle with a measure that is a whole number of degrees will have a measure between 1° and 89°, inclusive.

The least sum of two such angles will be ...

  1° +1° =

The greatest sum of two such angles will be ...

  89° +89° = 178°

I NEED Help NOW FOR 10 POINTS

Answers

In picture 1, the diameter of the circle is being shown.

6. In a survey, 25 out of 200 students indicated they would vote for Xaria for class president. If 1,000
students are voting in the election, how many would be expected to vote for Xaria?

Answers

125 votes would be voting for Xaria

Find the value of [tex]y[/tex] when [tex]x=7[/tex]

Answers

Hey there!

GUIDE:

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative


ANSWERING THE GIVEN QUESTION

y = -4x

y = -4(7)

y = -28

Because, remember we said a NEGATIVE (-4) & a POSITIVE (7) gives you a negative [-28]


Therefore, the answer should be: -28


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Camile is packing seeds to send to her mother in law. She estimates that she needs a box with a volume of at least 6,856 cubic inches. Here are the boxes she has to choose from Option A Length: 13 inches, Width 12 inches, Height: 16 inches Option B Length: 18 inches, Width: 25 inches, Height: 16 inches Option C Length:12 inches, Width: 14 inches Height: 22 inches Option D Length: 20 inches, Width:22 inches, Height: 17 inches Which boxes con she choose?​

Answers

Step-by-step explanation:

the volume of a box (or prism) is always

length × width × height

so, box A

13 × 12 × 16 = 2,496 in³

box B

18 × 25 × 16 = 7,200 in³

box C

12 × 14 × 22 = 3,696 in³

box D

20 × 22 × 17 = 7,480 in³

so, she can use B or D.

Use >, <, or = to solve the following problems below.
(6^2)____(-6^2)
-5____ |-5|
0.372×1,000____37.2×100
(will mark brainliest)​

Answers

(6^2)__>__(-6^2)

-5__=__ |-5|

0.372×1,000__<__37.2×100

find the area of the following figure ​

Answers

Answer:

okay

Step-by-step explanation:

calculate the areas of those rectangles separately

[tex]say \: rectangle \: 1 \\ area = 21 \times 18 \\ = {378in}^{2} \\ rectangle \: two \\ area = 17 \times 9 \\ = {153in}^{2} \\ \\ total \: area \: = 153 + 378 \\ = {531in}^{2} [/tex]

how does the scatter plot show that age and time spent talking on the phone have a linear association?

Answers

Answer:

When the y variable tends to increase as the x variable increases we say there is a positive correlation between the variables

can someone pls help need this done by tomorrow

Answers

No, no lil one, you're going wrong.

1.a. Calculate the total surface area of the cube. 6(l^2) =144x6 = 864 sq. inch1.b. Calculate the volume of the cube. l^3 =12x12x12 = 1728 cu. inch

Slove the rest by yourself

Remember:

Surface area of cuboid is 2(lb+bh+hl), where l is length, b is breadth and h is height. Volume of cuboid is lbh, where l, b, h mean the same as in 1.

Write the equation of the circle given center (-13,-16) and point on the circle (-10,-16)

Answers

Answer:

Step-by-step explanation:

Which of the following can be found on a credit report?
A Personal Social Security Number
B Checking Account Balance
C Late Payments to Lenders
D Credit Card Balances


B and D Only
A Only
Not here
A, C, and D Only​

Answers

Answer:

A, C, & D only

Step-by-step explanation:

All of the following are listed on your credit report except option B) your checking account balance.

Find the length of the curve r=sqrt(1 cos 2 theta)

Answers

The length of the curve  r=√(1+cos 2θ) is after integrating over the limit 0 to π√2

What is integration?

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have:

[tex]\rm r=\sqrt{(1 +cos 2 \theta)}[/tex]

[tex]\rm r=\sqrt{2cos^2 \dfrac{2 \theta}{2}[/tex]

[tex]\rm r = \sqrt{2}cos\theta[/tex]

[tex]\rm \dfrac{dr}{d\theta}= -\sqrt{2}sin\theta[/tex]

Length:

[tex]\rm L = \int\limits^{\pi\sqrt2}_0 {\sqrt{r^2+(\dfrac{dr}{d\theta}})^2} \, d\theta[/tex]

After the value of r and dr/dθ and solve the definite integral, we will get:

L = 2π

Thus, the length of the curve  r=√(1+cos 2θ) is after integrating over the limit 0 to π√2

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Please help me on this!

Answers

The correct answer ofr this question is option D

Your broker charges a commission of 5.1% of the cost of the stock you sell. if you sell a batch of stocks worth $2,617.75, how much commission will you owe your broker? a. $133.51 b. $513.28 c. $110.56 d. $392.66

Answers

Commision is the percentage on a cost of good. The amount of commision you owe your broker is  $133.51

How to calculate commision on a cost of good

Commision is the percentage on a cost of good. GIven the following parameters

Cost of good = $2,617.75

If your broker charges a commission of 5.1% of the cost, the amount charged is given as:

Amount charged = 5.1% of $2,617.75
Amount charged = 0.051 * $2,617.75
Amount charged =  $133.51

Hence the amount of commision you owe your broker is  $133.51

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Answer:

Is A.133.51

I took the quiz on

Step-by-step explanation:

which of the following numbers is a multiple of 5
A 53
B 79
C 21
D 65

Answers

Answer:

65

Step-by-step explanation:

It ends in 5 or 0. 65 divided by 5= 13

Lucia wants to spend less than $8 on her order. Which of the following represent amounts that are in Lucia's budget?

Answers

Answer:

x < 8

Step-by-step explanation:

If Lucia wants to spend less than $8 dollars on an order, the answer would be x is less than 8.

One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

other leg = 16 cm

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the other leg , then

x² + 12² = 20²

x² + 144 = 400 ( subtract 144 from both sides )

x² = 256 ( take square root of both sides )

x = [tex]\sqrt{256}[/tex] = 16

Taxi charges 2.95 for the first mile and 0.30 per 1/8 gary was charged 25.45 for this taxi ride. Not including the first mile how many miles did Gary travel.

Answers

Using proportions, considering the cost of the taxi per mile, it is found that Gary traveled 9.375 miles, not including the first.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the company charges 2.95 for the first mile and $0.3 per each 1/8 mile next = $2.4 per mile. After the first mile, he was charged a total of $25.45 - $2.95 = $22.5. Hence the number of miles is given by:

22.5/2.4 = 9.375.

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Combine like terms to answer the question.

Answers

Answer:

3r + 5

Step-by-step explanation:

by "combining like terms", this means that if we have, for example,

1 * x + 5 * x, we can factor this out to be x*(1+5) = 6 * x and the like terms (1x and 5x) are combined

thus, we have

-5r + 8r + 5

the "like terms" here are -5r and 8r because they both have an r attached to it. thus, we can set out to only factor the r in these two numbers, resulting in

-5 * r + 8 * r + 5 = r * (-5 + 8) + 5 = r * 3 + 5 = 3r + 5

what is 5.136 rounded to the nearest tenth

Answers

Answer:

5.136 is 5.1 to the nearest tenth

For which system of equations is the graph below a solution?

A. y = x - 2
y = - x - 3

B. y = x + 2
y = - x - 3

C. y = x - 2
y = -x + 3

D. y = x + 2
y = -x + 3​

Answers

Answer:

C

Step-by-step explanation:

Black line

slope = Δy / Δx = -3 / 3 = -1

Y intercept = 3

LINE equation ( y = slope times x + y intercept): y = -x +3

Blue line

slope = Δy / Δx = 2 / 2 = 1

Y intercept = -2

LINE equation ( y = slope times x + y intercept): y = x -2

Gideon has a rectangular garden with an area of 19.6 square feet. If the length of the garden is 4.3 feet, what is the length of the diagonal of the garden? Round to the nearest tenth.

Answers

The length of the diagonal of the garden with 19.6 square feet and 4.3 length is : 6.3 feet

What is a rectangle?

A rectangle is a quadrilateral with four sides and four vertices  each of angle 90°.

Analysis:

Area of rectangle: 19.6 square feet

length of one side = 4.3 feet

width of one side = Area/length = 19.6/4.3 = 4.6 feet

the diagonal and width and length of a rectangle for a right angle triangle.

To find the diagonal, we use Pythagoras theorem

[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]

[tex](diagonal)^{2}[/tex] = [tex](4.3)^{2}[/tex] + [tex](4.6)^{2}[/tex]

[tex](diagonal)^{2}[/tex] = 39.7

diagonal = [tex]\sqrt{39.7}[/tex] = 6.3 feet

in conclusion, the diagonal of the rectangular garden is 6.3 feet

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How do you think a car engine gets energy from gasoline?

Answers

A car engine gets energy from gasoline during the production of the combustion of gasoline in a car engine which is converted as kinetic energy.

How is the energy of the universe conserved?

In a car driven by a gasoline combustion engine, heat energy is quickly converted into kinetic energy which results in the motion of the car.

The law of the conservation of energy states that "Energy cannot be destroyed or created. It can only be transformed from one form to another".

The combustion of gasoline in a car engine tends to generate heat energy, this heat energy will be transferred as kinetic energy which results in the motion of the car.

This energy of the universe will be conserved as the energy created by the combustion is used as kinetic energy for the motion of cars.

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Answer:

A car engine gets energy from gasoline during the production of the combustion of gasoline in a car engine which is converted as kinetic energy.

Step-by-step explanation:

How is the energy of the universe conserved?

In a car driven by a gasoline combustion engine, heat energy is quickly converted into kinetic energy which results in the motion of the car.

The law of the conservation of energy states that "Energy cannot be destroyed or created. It can only be transformed from one form to another".

The combustion of gasoline in a car engine tends to generate heat energy, this heat energy will be transferred as kinetic energy which results in the motion of the car.

This energy of the universe will be conserved as the energy created by the combustion is used as kinetic energy for the motion of cars.

Find the area and perimeter of this compound shape. Explain.

Answers

Answer:

area = 232.5

perimeter=71.243

which of the following is the solution for the inequality below? -3x+2<8

Answers

Answer:

x>-2

Step-by-step explanation:

First you have to subtract 2 from both sides, which leaves you with -3x=6, then you have to divide -3 on both sides to get the variable by itself. Which is x<-2, but you have to switch the sign because you multiplied/divided by a negative number, then you get left with x>-2........Hope that helped!!!!!!!!!!:)

What is the solution of the equation 4.5+m=10

Answers

Answer:

The first thing that we need to do is subtract 4.5 from both sides because that would removed the 4.5 from the left side and leave us with m by itself.  So we get the following [tex]m=5.5[/tex] and that is our solution.

Hope this helps!  Let me know if you have any questions

Answer:

5.5

Step-by-step explanation:

to find additional value, subtract the known

[because 4.5 plus (+) a number (m) is equal to (=) 10, the number (m) must be equal to (=) 4.5 minus (-) 10.]

10 - 4.5 = 5.5

to find if this is correct, add it back

4.5 + 5.5 = 10

m = 5.5

hope this helps:)

Y varies directly with X. Y=10 when X=5, find y when X=14

Answers

Answer:

28

Step-by-step explanation:

y=kx

10=5k

k=2

y=2×14

y=28

aria buys a box of doughnuts, which come with differente fillings insinde. The flavors are: 3 jelly, 5 cream and 1 lemon. What is the probability that the first doughnut Maria eats has jelly inside?

Answers

Answer:

1/3

Step-by-step explanation:

3 + 5 +1 = 9

3/9 = 1/3

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up. The ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.

Answers

The length of the ladder nearest hundredth of a foot is 23 feet.

We have given that,

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 20 feet up.

The ladder makes an angle of [tex]77^{\circ}[/tex]  the ground.

What is the sin ratio?

[tex]sin(\theta)=\frac{perpendicular \ side}{hypotenous}[/tex]

Therefore we get,

[tex]\implies\frac{22}{H} =sin(77)[/tex]

[tex]\implies H=22/sin(77)[/tex]

[tex]\implies 22.59ft\\\\=23ft[/tex]

Therefore, The length of the ladder nearest hundredth of a foot is 23 feet.

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Can someone pls help me

Answers

Answer:

? what do u want me todo

Step-by-step explanation:

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