A population of bacteria is growing according
to the equation P(t)=1000e0.12t, where P(t) is
the population and t is the time in hours.
Estimate when the population will reach 5000.
Round to the tenths.

Answers

Answer 1

Answer:

13.4

Step-by-step explanation:

Answer 2

The time at which the population reach 5000 is 13.4 years.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The time taken to reach a population of 5000 is,

\(P(t) = 1000e^{0.12t}\\5000= 1000e^{0.12t}\\5 = 1000e^{0.12t]\)

Take a log on both sides.

ln( 5 ) = 0.12t

t = ln ( 5 ) / 0.12

t = 13.4 years.

Therefore the time at which the population reach 5000 is 13.4 years.

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Related Questions

A type of wood has a density of 250 kg/m3. How many kilograms is 75,000 cm3 of the wood? Give your answer as a decimal.

Answers

D=250kg/m3
V=75000cm3=0,075m3
Kg=?
D=m*v
m=d/v
m=250/0.075=3333,33kg

Giving brainliest. Please help

Giving brainliest. Please help

Answers

Answer:

Please refer to the image.

The answer is blonde hair.

Giving brainliest. Please help

A pattern contains 3, 11, 5, 13, 7, and 15 dots. What are the next two terms of the sequence?
O9, 17
O 7, 13
O9, 15
O 7,11

Answers

It would be about 9,17

F(x)=|x|-7 describe the transformation of each function compared to its parent function

Answers

Compared to the parent function f(x)=|x|, the graph of F(x) is a translation 7 units down.

With this question, it is incredibly essential that you consider each transformation separately to prevent confusion.
First, the negative on the top of the fraction indicates that there is a reflection. This means that you will be filling in quadrants II and IV rather than I and III prior to the other transformations.
Dilation is indicated by the 3 in the numerator of the fraction and will actually affect the main points marked on the graph. For the parent function y= 1/x, the coordinate (1,1) is the main point in the first quadrant and the coordinate (-1,-1) is the main point in the third quadrant. When a dilation occurs, it dilates the x value for one of the coordinates and the y-value in the other. Since a reflection has also occurred, our initial points are (-1,1) and (1,-1) so the points in the second quadrant will be (-1,3) and (-3,1) as compared to the asymptotes (multiple translations have also occurred) and the points in the fourth quadrant will be (1,-3) and (3,-1) as compared to the asymptotes.
Lastly, let's consider translations: a horizontal translation involves the addition or subtraction of a number from x in the denominator of the fraction whereas a vertical translation involves the addition or subtraction of a number from (1/x), completely separate from the fraction. Therefore, the -2 is part of a horizontal translation and the +4 is part of a vertical translation. I always tell my students that the direction of the vertical translation(up or down) will be what you would assume, but the direction of the horizontal translation (right or left) will be the exact opposite of your assumption. For this reason, the -2 would indicate a shift to the right 2 units and the +4 would indicate a shift upwards 4 units. This would result in a shift of the vertical asymptote to the right 2 units and a shift in the horizontal asymptote upwards 4 units. The horizontal asymptote is written as y = 4 and the vertical is written as x=2

What is the image of the point (-5,6) after a rotation of 90° counterclockwise about
the origin?

Answers

Answer:

(-6;5)

Step-by-step explanation:

if they are asking about where it is going to be situated in the coordinate system after the rotation

A roll of breakfast sausage weighing 4/5:of a pound is cut into 3 patties of the same size. What is the weight of each patty?

NO LINKS!!! ​

Answers

Solution:

Note that:

4x/5 ÷ 3 = 1 patty

Solve for x to find the weight of each patty.

4/5 ÷ 3 = Weight of 1 patty=> 4/5 x 1/3 = 1 patty=> 4/15 = 1 patty

The weight of a patty is 4/15 of a pound.

Answer:

4/15

Step-by-step explanation:

Hope this helps! Sorry if I am wrong.

Round of 474.53 to 3
significant figures​

Answers

Answer:

what y'all teachers be on

algebra help please!!!!!!!

algebra help please!!!!!!!

Answers

Answer:

The answer is c I hope this helps

The answer is 3 hope you have a good day

What is the surface area of the same prism?​

Answers

i’m confused there are no numbers ?

Coordinate plane with quadrilaterals EFGH and E prime F prime G prime H prime at E 0 comma 1, F 1 comma 1, G 2 comma 0, H 0 comma 0, E prime negative 1 comma 2, F prime 1 comma 2, G prime 3 comma 0, and H prime negative 1 comma 0. F and H are connected by a segment, and F prime and H prime are also connected by a segment. Quadrilateral EFGH was dilated by a scale factor of 2 from the center (1, 0) to create E'F'G'H'. Which characteristic of dilations compares segment F'H' to segment FH

Answers

Answer:

\(|F'H'| = 2 * |FH|\)

Step-by-step explanation:

Given

\(E = (0,1)\)             \(E' = (-1,2)\)

\(F = (1,1)\)             \(F' = (1,2)\)

\(G = (2,0)\)             \(G' =(3,0)\)

\(H = (0,0)\)            \(H' = (-1,0)\)

\((x,y) = (1,0)\) -- center

\(k = 2\) --- scale factor

See comment for proper format of question

Required

Compare FH to F'H'

From the question, we understand that the scale of dilation from EFGH to E'F'G'H is 2;

Irrespective of the center of dilation, the distance between corresponding segment will maintain the scale of dilation.

i.e.

\(|F'H'| = k * |FH|\)

\(|F'H'| = 2 * |FH|\)

To prove this;

Calculate distance of segments FH and F'H' using:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

Given that:

\(F = (1,1)\)             \(F' = (1,2)\)

\(H = (0,0)\)            \(H' = (-1,0)\)

We have:

\(FH = \sqrt{(1- 0)^2 + (1- 0)^2}\)

\(FH = \sqrt{(1)^2 + (1)^2}\)

\(FH = \sqrt{1 + 1}\)

\(FH = \sqrt{2}\)

Similarly;

\(F'H' = \sqrt{(1 --1)^2 + (2 -0)^2}\)

\(F'H' = \sqrt{(2)^2 + (2)^2}\)

Distribute

\(F'H' = \sqrt{(2)^2(1 +1)}\)

\(F'H' = \sqrt{(2)^2*2}\)

Split

\(F'H' = \sqrt{(2)^2} *\sqrt{2}\)

\(F'H' = 2 *\sqrt{2}\)

\(F'H' = 2\sqrt{2}\)

Recall that:

\(|F'H'| = 2 * |FH|\)

So, we have:

\(2\sqrt 2 = 2 * \sqrt 2\)

\(2\sqrt 2 = 2\sqrt 2\) --- true

Hence, the dilation relationship between FH and F'H' is::

\(|F'H'| = 2 * |FH|\)

Answer:NOTT !!  A segment in the image has the same length as its corresponding segment in the pre-image.

Step-by-step explanation:

contracts for two construction jobs are randomly assigned to one or more of three firms, a, b, and c. the joint distribution of y1, the number of contracts awarded to firm a, and y2, the number of contracts awarded to firm b, is given by the entries in the following table. y1 y2 0 1 2 0 1 9 2 9 1 9 1 2 9 2 9 0 2 1 9 0 0 find cov(y1, y2). (round your answer to three decimal places.) cov(y1, y2)

Answers

The value of covariance cov(y1, y2) is -0.222

                      y1      

y2         0         1         2          Total

0          1/9      2/9     1/9          4/9

1          2/9      2/9      0            4/9

2          1/9        0       0            1/9

Total   4/9       4/9     1/9          1      

  marginal distribution of y2:

y2      P(y2)      y2P(y2)      y2^2P(y2)

0         4/9        0.0000        0.0000

1          4/9         0.4444        0.4444

2          1/9         0.2222        0.4444

total      1          0.66667       0.88889

E(y2) = 0.6667

E(y2^2) = 0.8889

Var(y2) = E(y2^2)-(E(y2))^2=0.4444

marginal distribution of y1  

y1       P(y1)       y1P(y1)      y1^2P(y1)

0         4/9       0.0000      0.0000

1          4/9        0.4444       0.4444

2          1/9         0.2222      0.4444

total  1.00          0.6667      0.8889

E(y1) = 0.6667

E(y1^2) = 0.8889

Var(y1)= σy = E(y1^2)-(E(y1))^2 = 0.4444

E(XY) =∑xyP(x,y)=0.2222

Cov(y1,y2) = -0.222

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The Carousel on the National Mall has 4 rings of horses. Kiran is riding on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center than the inner ring is.

One rotation of the carousel takes 12 seconds. How much faster does Mai travel than Kiran? (Round to the nearest tenth)

Answers

Mai travels abοut 4.2 feet per secοnd faster than Kiran.

What is circumference?

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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I don’t know why I’m finding this so hard but I’ve tried so many attempts

I dont know why Im finding this so hard but Ive tried so many attempts

Answers

Check the picture below.

I dont know why Im finding this so hard but Ive tried so many attempts

10 The ratio of boys to girls on a bus is 4 to 5. If 1 girl and
2 boys get off the bus, what will be the ratio of boys to
girls on the bus?

10 The ratio of boys to girls on a bus is 4 to 5. If 1 girl and2 boys get off the bus, what will be the

Answers

Answer:

F

Step-by-step explanation:

is the answer because when u solve u get that answer u get your ratio and then multiply and divide that's how u get your answer

The ratio of boys to  girls on the bus is 1/2

Given that the ratio of boys to girls on a bus is 4 to 5, this can be written as  4:5

Ratio = boys/girls = 4/5

If 1 girl and  2 boys get off the bus, the number of boys to girls will be (4-2):(5-1)

New ratio of boys to girls will be expressed as 2:4

New ratio = 2/4 = 1/2

Hence the ratio of boys to  girls on the bus is 1/2

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9. Alan invests £425 in a savings account paying 4.14% compound interest.
a. How much will his investment be worth after three years?
b. Express the amount paid as a percentage of the amount invested ​

Answers

The answer is a cause Alan

Plead Your Case Give the most convincing explanation you can for why a = c

Answers

The most convincing explanation I can give for why a = c is supplementary property a+ b

= 180° and b+c = 180° and substraction operation and also one more reason is a = c is also true because they are vertically opposite angles.

What is supplementary angles ?

A supplementary angle is an angle that sums to 180 degrees. For example, the 130° and 50° angles are complementary because the sum of 130° and 50° is 180°.

We know that, supplementary angles are angles whose sum is 180°. From the above figure, using the property that linear pairs are supplementary , we have b+c = 180° , c+d = 180° , d+a = 180° ,

a+b = 180°

Therefore, consider a+b = 180° and b+c = 180°

Using subtraction property of equality, we have

180°- b = a .........(1)

180°-b = c ..........(2)

Substitute 180°- b = a in equation (2) , we get

=> a = c

Hence, we get the required results.

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Plead Your Case Give the most convincing explanation you can for why a = c

The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.


Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?

Select one:

a.
bus

b.
car

c.
subway

d.
train

The figure shows four box-and-whisker plots. These represent variation in travel time for four different

Answers

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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The perimeter of this rectangle is 20cm, what’s the missing side?

The perimeter of this rectangle is 20cm, whats the missing side?

Answers

Answer:4 cm

Step-by-step explanation:

Formula for perimeter of a rectangle: P = 2(l+w)

20 = 2(6+w)

20 = 12+2w

divide by 2

10 = 6 + w

10-6 = w

4 = w

A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?

Answers

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

The dot plots show the age of different players on two different local soccer teams.
Team A
Team B
+
+
+
4
20
+
29
23
20
24
21
25
26
27
28
29
30
21
22
23
24
28
30
26
28
27
Age (years)
Age (years)
Which statement is best supported by the information in the table?
A.
The range of the data for Team A is equal to the range of the data for Team B
B.
The mode of the data for Team B is greater than the mode of the data for Team A
C.
The distributions of the data for Team A and Team B are approximately
symmetrical
D.
The median of the data for Team B is less than the median of the data for Team A

The dot plots show the age of different players on two different local soccer teams.Team ATeam B+++420+2923202421252627282930212223242830262827Age

Answers

Answer:

answer is b...............

Is this outline structure correct?
Title
Topic
1.
A
В.
1
2.
a
b.
II
А
B
1
2.
A
B
Yes
No

Answers

Answer:

yes it is

Step-by-step explanation:

find the area of the polygonb

find the area of the polygonb

Answers

Answer:

A=b×h

A=3x5

A=15

ggggggggggg

A major league baseball team is ending its season
and totaling up concession sales. Looking at
receipts they have found that they made
$10,486,525 in hot dog sales, $23,451,492 in
large drink sales, $4,765,300 in soft pretzel sales
and $1,342,653 in nacho sales. If they rounded
each item's sales amount to the nearest million,
what is the estimated money collected in
concession sales?

Answers

Answer:

The estimated money collected in concession sales would be $39,000,000.

Step-by-step explanation:

Since a major league baseball team is ending its season and totaling up concession sales, and looking at receipts they have found that they made $ 10,486,525 in hot dog sales, $ 23,451,492 in large drink sales, $ 4,765,300 in soft pretzel sales and $ 1,342,653 in nacho sales, To determine, if they rounded each item's sales amount to the nearest million, what is the estimated money collected in concession sales, the following calculations must be performed:

$ 10,486,525 = 10,000,000

$ 23,451,492 = 23,000,000

$ 4,765,300 = 5,000,000

$ 1,342,653 = 1,000,000

10 + 23 + 5 + 1 = 39

Therefore, the estimated money collected in concession sales would be $ 39,000,000.

mz3 = 10x and mz5= 12x - 25.

mz3 = 10x and mz5= 12x - 25.

Answers

Answer:

\(x = 12.5\) degrees

Step-by-step explanation:

Since lines a and b are parallel, we have that angles 3 and 5 are congruent, that is, they have the same measure.

We have that:

\(m<3 = 10x\)

\(m<5 = 12x - 25\)

Value of x:

Since they are congruent:

\(m<3 = m<5\)

\(10x = 12x - 25\)

\(-2x = -25\)

\(2x = 25\)

\(x = \frac{25}{2}\)

\(x = 12.5\) degrees

if x² = √16 = x
true or false?​

Answers

Step-by-step explanation:

it is true

the square root of 16 is 4

if x = 16 = x true or false?

Giving some points, but dont take them or iIwill delete and ban you. Answer this math question and you get 33 points! If you get it right, in the next question, I will give 50 points, MAYBE. A captain owns 26 sheep and 10 goats. How old is the captain?

Answers

There is not enough information to answer this question, the number of animals the captain has does not correspond to his age. For example, if a kid owned 20 chickens, there is no correspondence to his or her age, no one would know based on the quantity of possession.

Answer:

i think i got it but can you help me out a little with this too? im not sure either...dont ban me i jjust need help

Step-by-step explanation:

The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $7 and each adult ticket sells for $10. The auditorium can
hold no more than 85 people. The drama club must make no less than $690 from
ticket sales to cover the show's costs. Also, they must sell a minimum of 10 student
tickets and at least 55 adult tickets. If a represents the number of student tickets sold
and y represents the number of adult tickets sold, write and solve a system of
inequalities graphically and determine one possible solution.

The drama club is selling tickets to their play to raise money for the show's expenses.Each student ticket

Answers

On solving the inequalities a ≥ 10, y ≥ 55, 7a + 10y ≥ 690, the solution is obtained as (20,55).

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Use the variables a and y to represent the number of student and adult tickets sold, respectively.

Then write the following system of inequalities -

a ≥ 10 (they must sell a minimum of 10 student tickets)

y ≥ 55 (they must sell at least 55 adult tickets)

7a + 10y ≥ 690 (they must make no less than $690 from ticket sales)

The first two inequalities are constraints on the number of tickets sold, and the third inequality represents the revenue constraint.

To find a possible solution, graph these inequalities on a coordinate plane and look for the feasible region that satisfies all three inequalities.

Alternatively, solve the system of inequalities using algebra.

First, simplify the third inequality by subtracting 7a from both sides -

10y ≥ 690 - 7a

Then, divide both sides by 10 -

y ≥ (690 - 7a)/10

This inequality represents the revenue constraint in terms of the number of student tickets sold.

Now combine the revenue constraint with the other two constraints -

a ≥ 10

y ≥ 55

y ≥ (690 - 7a)/10

Use substitution to solve for a in terms of y -

y ≥ (690 - 7a)/10

10y ≥ 690 - 7a

7a ≥ 690 - 10y

a ≥ (690 - 10y)/7

To find a possible solution, substitute a = (690 - 10y)/7 into the other two constraints -

(690 - 10y)/7 ≥ 10

y ≥ 55

These inequalities can be simplified -

690 - 10y ≥ 70

y ≥ 55

The first inequality can be solved for y -

-10y ≥ -620

y ≤ 62

Since it is known y ≥ 55, the feasible values for y are between 55 and 62, inclusive -

55 ≤ y ≤ 62

Now use the expression for a in terms of y to find the corresponding values of a -

a = (690 - 10y)/7

For each value of y between 55 and 62, inclusive, we can calculate a and check whether it satisfies the constraints -

a ≥ 10

y ≥ 55

7a + 10y ≥ 690

For example, when y = 55 -

a = (690 - 10(55))/7 = 20

7a + 10y = 7(20) + 10(55) = 690

Therefore, these values satisfy all three constraints, so one possible solution is a = 20 and y = 55.

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The drama club is selling tickets to their play to raise money for the show's expenses.Each student ticket

Enter the equivalent distance in km in the box.

1 km = 1000 m

1 m = 100 cm

35,000 cm =
km

Answers

Answer:

0.350 km

Step-by-step explanation:

Hi there !

35000 cm = 35000/100 m = 350 m

350 m = 350/1000 km = 0.350 km

Good luck !

A car and a truck left Washington, DC traveling in opposite directions. The car traveled 19 miles per hour faster than the truck, and at the end of 8 hours they were 1048 miles apart. What was the average speed of each vehicle?

100 POINTS

Answers

Answer:

Step-by-step explanation:xmccc

Truck speed be x
Car travel at x+19
They travel in opposite directions so the separation is (x+x+19) * no. Of the hours
1048 = (2x+19)*8
X= ((1048/8)-19)/2
=56

Truck speed is 56 miles per hour
Car speed is 56+19=75 miles per hour

Scampini Technologies is expected to generate $75 million in free cash flow next year, and FCF is expected to grow at a constant rate of 7% per year indefinitely. Scampini has no debt or preferred stock, and its WACC is 12%, and it has zero nonoperating assets. If Scampini has 40 million shares of stock outstanding, what is the stock's value per share? Do not round intermediate calculations. Round your answer to the nearest cent

Answers

If Scampini has no debt or preferred stock, and its WACC is 12%, and it has zero nonoperating assets in which Scampini has 40 million shares of stock outstanding, the stock's value per share is $37.50.

Stock price

Next year CF = $75 millions

Growth rate of CF = 7%

WACC = 12%

Number of shares outstanding = 40 million shares

Estimated business valuation:

Valuation = Next year CF/ (WACC -growth rate)

Valuation = $75 million / (12% - 7%)

Valuation = $75 million /5%

Valuation =$1500 million

Estimated stock price:

Stock price = Valuation /Shares outstanding

Stock price = $1500 million / 40 million shares

Stock price = $37.50

Therefore the stock price is $37.50.

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Other Questions
Here is a long excerpt from the ONS website. ONS is the United Kingdom's Office of National Statistics. "Firstly, using an internationally agreed framework, we have carefully selected over 700 items that form a virtual 'shopping basket'. These are representative of the goods and services that consumers typically spend their money on. Each month we ensure each item is either identical or comparable to those collected the previous month. They include many everyday items such as milk, tea and bread but also 'big ticket' items such as buying a car as well as services such as renting your home, booking a flight or going to a music concert. Then prices of these items are collected physically in 141 locations by around 300 people across the country. In addition, numerous price quotes are collected online or over the phone adding up to around 180,000 price points overall each month. On top of this, around 300,000 rental prices from up and down the country also feed into the headline number. We keep a close eye on the basket to ensure it remains representative of the household spending habits across the country by drawing on a wide range of market research data as well as feedback from our price collectors about which items have the most shelf space in shops. In addition, we use spending information taken from the National Accounts and a large survey of households' outgoings to ensure items receive the correct weight in the overall figures. However, it is worth noting that, while our inflation indices are representative of spending across the UK overall, they may well not totally reflect the habits of any individual consumer. Every year we take out items which are becoming less popular and bring in new products and services, in recent years we've taken out CD players and brought in both streaming services and smart speakers. Additions to the basket this year included hand sanitiser, loungewear and home exercise equipment reflecting the impact of the pandemic on consumer spending." This explains how the ONS computes and reports.a The GDP deflator b The unemployment rate c The CPId The nominal GDPe The real GDP Markets, such as the new york stock exchange and your local retail store, are ______ markets. 2. How could colonies help businesses? Which statement best describes a difference between the poem "Ellis Island" and the essay "Thanksgiving: A Native American View"?The poem uses figurative language, and the essay relies on adjectives for description.The poem uses emotion, and the essay is more moderate.The poem gives the authors opinion, and the essay gives only facts.The essay shows the authors feelings, and the poem does not. Which of the following statements about the dividend growth model is/are correct? I. The dividend growth model does not work when a firm pays no dividend. II. The dividend growth model is as reliable as the estimated rate of growth. III. The dividend growth model can only be used if historical dividend information is available. IV. The dividend growth model uses standard deviation to measure the systematic risk of a firm. V. The dividend growth model does not consider the risk that future dividends may vary from their estimated values.II, III and V onlyI, II and IV onlyI and II onlyII and III onlyI only the freezing point of diet soda is higher than the freezing point of regular soda, but lower than 0oc, the freezing point of pure water. a. explain why both diet and regular soda freeze at temperatures lower than 0oc what happened during the seven years war these spectacular rice terraces cascade down to the banks of which river?A Yellow RiverB Black RiverC Red River PLEASE HELP!! TRYING TO PREPARE FOR A TEST!! TOTAL 50 POINTS WHEN GIVEN BRAINLIEST ANSWER!!Change the Cartesian integral to an equivalent polar integral, and then evaluate. dy dx\int\limits^{11}_{-11} \int\limits^{\sqrt{121-x^{2}} } _{0} dy dx Errors in Cell Division (like genetic isolation) May Result in Sympatric Speciation What does testicular cancer look like? I need help please the 2nd Great awakening had major effects on how people were protesting, 1. what were the consequences that came with that movement?2. If the war of 1812 never happened, what would be the roles of women today?3. What was the cause and effect of Manifest Destiny? Which of the following best explains the production of large amounts of the amino acid glycine betaine by Survivor plants?A. They have a random mutation in their genome.B. They have been genetically engineered by humans.C. They have always had the gene for this amino acid.D. They have been given special nutrients by humans. How many solutions in the equation 3x + 5 = -2x + 5* how are the problems of Nigeria showing in the poem the awakening age. why do Nigeria people need to be awakened Use the Welsh & Powell Algorithm to color the followinggraph:a) Create a graph from the map and determine the degreeof each vertex in the graphb) Calculate the chromatic number (m) What is in the Secret Compartment? 1. Try It # 1 A company sells doughnuts. They incur a fixed cost of $25,000 for rent, insurance, and other expenses. It costs $0.25 to produce each doughnut.b. Find and interpret the y-intercept. What is the value of x in the equation 8x - 2y = 48, when y = 4?O 607O 14O 48 Galileo invented scientific instruments such as a new kind of thermometer and....Question 3 options:the scientific methodthe stethoscopea telescopean improved compass