(d) (1 + cos a) (1 - cos a) /(1 + sin a) (1 - sin a)= tan2 a​

Answers

Answer 1

[tex] \frac{(1 - \cos(a))(1 + \cos(a)) }{(1 - \sin(a) )(1 + \sin(a)) } = \\ [/tex]

[tex] \frac{1 - {cos}^{2}(a) }{1 - {sin}^{2}(a) } = \\ [/tex]

[tex] \frac{ {sin}^{2}(a) }{ {cos}^{2}(a) } = \\ [/tex]

[tex] {tan}^{2} (a)[/tex]


Related Questions

Placing a down payment on a home is a common practice among homebuyers and, in many cases, is required by the lender for eligibility reasons. As the Payans’ real estate agent suggested in part C, it’s also important to help keep the mortgage payment low and within the homebuyer’s monthly budget to avoid the risk of default. Write two to three sentences summarizing what might happen if the Payans were to default on their monthly mortgage payments.

Answers

Answer:

If the Payans were to default, their credit score could be lowered. The Payans could also lose their house. With both of those things on their record, it would make it harder for the Payans to qualify for another loan.

Hope this helps!

A.
If you wrote the first letter of your name
(in upper-case) on a graph, would it be a
function? (yes/no)
Give the letter you are using to answer
the question.

(THE LETTER I WOULD BE USING IS J)

Answers

Answer:

Yes

J

Step-by-step explanation:

A biologist is studying the exponential growth of a colony of bacterial cells. The table gives the
number of cells, y, in the colony over time, x, in hours.
Time, x (hours)
0
Number of Cells, y
100
1
200
N
400
h
6,400
Replace the values of A, b, x, and y to write an exponential equation that represents the number of
cells present at h hours.

Answers

The exponential function that represents the number of cells present at x hours is y = 100(2)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

Let y represent the number of cells after x hours.

From the table, at point (0, 100):

100 = ab⁰

a = 100

At point (1, 200):

200 = 100b

b = 2

The exponential function is y = 100(2)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

100(2)^h=6,400

Step-by-step explanation:

Explanation:

For an equation in the form A(b)^x=y, A represents the initial amount, and b represents the growth rate. At 0 hours, there were 100 cells, so A=100.

Between 0 hours and 1 hour, the number of cells doubled from 100 to 200, or 100(2). Between 1 and 2 hours, the number of cells again doubled from 200 to 400, or 100(2)^2. So the growth rate, or b, is 2.

The table shows that at h hours, there were 6,400 cells. Therefore, the equation that represents the number of cells at h hours is .100(2)^h=6,400

Margin of error: 0.005 ; confidence level: 96%; p^ and q^ unknown

Answers

Using the z-distribution, it is found that the minimum sample size required is of 42,190.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 96% confidence level, hence[tex]\alpha = 0.96[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.96}{2} = 0.98[/tex], so the critical value is z = 2.054.

As for the other parameters, we have that M = 0.005 and [tex]\pi = 0.5[/tex], as there are no estimates of the proportion. Hence, we solve for n to find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.005 = 2.054\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.005\sqrt{n} = 2.054(0.5)[/tex]

[tex]\sqrt{n} = \frac{2.054(0.5)}{0.005}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.054(0.5)}{0.005}\right)^2[/tex]

[tex]n = 42189.16[/tex]

Rounding up, the minimum sample size required is of 42,190.

More can be learned about the z-distribution at https://brainly.com/question/25890103

help pleaseeeeeeee this is harddddddddddddddddd

Answers

Answer:

Step-by-step explanation:

Question #1:

Area of a triangle = bh/2

A = (3)(6)/2 = 18/2 = 9 in²

Total A = 10 x area of a triangle

Total A = 10 x 9 = 90 in²

Question #2:

A = bh/2

Top 2 triangles: (20)(10)/2 x 2 = 200

Bottom 2 triangles: (20)(50)/2 x 2 = 1000

Total A = 1,200 in²

Question #3:

Total area = 2 triangles + 1 square

Triangle A: must find base

a² + b² = c²4² + b² = 6²b = √(36 - 16) = √20 = 2√5

Triangle A = bh/2 = (2√5)(4) = 8√5

Square A =  bh = (4)(?)

The last one is very hard, can't find the square's base. I hope the rest of my answers help though! Have a nice day!

can someone solve this ​

Answers

Answer:

check the image for solution

Step-by-step explanation:

what is the weight of a 55 kg person on earth where the acceleration due to gravity is 9.8m/s²​

Answers

Answer:

The weight of an object is the force of gravity exerted on that object. The mass of an object is the amount of matter it has, and it stays the same wherever you are, regardless of gravity.[1] That's why an object that has 20 kilograms of mass on earth also has 20 kilograms of mass while on the moon, even though it would only weigh 1/6 as much. It weighs 1/6 as much on the moon because the force of gravity on the moon is 1/6 of what it is on Earth.

Step-by-step explanation:

Answer:

your mother

Step-by-step explanation:

The logical answer would be your mother because 9.8m/s^2 x 55 would equal your mother weight,  539 squared pounds.

i have attached the question for you

Answers

Answer:

s = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

s = ut + [tex]\frac{1}{2}[/tex] at² ( substitute the given values into the equation )

s = ( 3 × [tex]\frac{1}{3}[/tex] ) + ( [tex]\frac{1}{2}[/tex] × - 12 × ([tex]\frac{1}{3}[/tex] )² )

  = 1 + (- 6 × [tex]\frac{1}{9}[/tex] )

  = 1 + ( - [tex]\frac{2}{3}[/tex] )

  = 1 - [tex]\frac{2}{3}[/tex]

  = [tex]\frac{1}{3}[/tex]

Answer:

[tex] \hookrightarrow \: u = 3 || \: a = - 12 \: || t = \frac{1}{3} \\ \hookrightarrow \: s = ut + \frac{1}{2} a {t}^{2} \\ \hookrightarrow \: s =3 \times \frac{1}{3} + \frac{1}{2} \times - 12 \times (\frac{1}{3} )^{2} \\ \hookrightarrow \: s =1 - \frac{2}{3} \\ \hookrightarrow \: s = \frac{1}{3} [/tex]

Put these numbers in order from greatest to least
-2/8
34/40
9/12
4

Answers

Answer:

4, 34/40, 9/12, -2/8

Step-by-step explanation:

Hope this helps!

A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

Answers

A, B and C working together will finish same piece of work in 10 days

A can do a piece of work in 20 days. That is A is doing the work at a rate of  1 / 20. Therefore

B = 1 / 30

C = 1 / 60

A, B and C working togehter their rate will be added together =

A + B + C =  1 / 20 + 1 / 30 + 1 / 60 = 1 / 10

so they can work together to finish same piece of work in 10 days

Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5 yards. what is the total cost?

Answers

Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

width = 2.5 ydlength = 6 yd

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

cost of fence = $2.25 per foot

⇒ total cost = 17 x 2.25

                    = $38.25

Length=L=6ydsWidth=B=2.5yds

Perimeter:-

2(L+B)2(6+2.5)2(8.5)17yd

Toatl cost::

17(2.25)34+4.2538.25$

Solve the equation. \dfrac34 =m+\dfrac14 4 3 ​ =m+ 4 1 ​ start fraction, 3, divided by, 4, end fraction, equals, m, plus, start fraction, 1, divided by, 4, end fraction m=m=m, equals

Answers

Answer:

[tex]\boxed{\dfrac{1}{2} = m}[/tex]

Step-by-step explanation:

Given equation:

[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]

Step-1: Subtract 1/4 both sides

[tex]\dfrac{3}{4} = m + \dfrac{1}{4}[/tex]

[tex]\dfrac{3}{4} - \dfrac{1}{4} = m[/tex]

[tex]\dfrac{2}{4} = \boxed{\dfrac{1}{2} = m}[/tex]

Why is ten times ten?

Answers

Answer:

100

Step-by-step explanation:

10 · 10 = 100

Of course it all depends on what the symbols you’re using mean. Assuming the the * means “multiplied by,” the next question is “what is the meaning of the symbols 0 and 1,” but (conventionally) in any field, 0 denotes the additive identity and 1 the multiplicative identity. With those assumptions, the next question is “what is meant by the juxtaposition of those symbols?” Again, the commonly used convention is that, for any numeric field with base b, “10” would mean b, and 100 would be interpreted as b*b.

So, for example, if you’re working with a field where b*b = b (e.g., a modular arithmetic), then 10 and 10*10 would both be 1. On the other hand, if your field is, for example, the integers in base 10 (0, 1, …9), then the other answers would apply.

Bottom line: It all depends on what you assume. Without telling us that, it’s harder to answer your question. Note that the other replies to your question all make some (very commonly agreed upon) assumptions, e.g. that you were working in one of the commonly use, base 10, number fields (integers, real numbers, etc.) where ten sticks, each ten inches long, placed in a straight line, would form a line 100 inches long. (The modular field described above would break the sticks into one inch pieces, stack them on top of each other, and get a line one inch long.)

How do u substitute 5x-y=-5 3x-6y=24

Answers

I’m the first equation solve for y
5x-y=-5
Subtract 5x from both sides
-y = -5-5x
Multiply both sides by -1
Y = 5+5x
Now plug this in for y in the other equation
3x-6(5+5x) =24
Distribute
3x-30-30x=24
Simplify
-27x-30 = 24
Add 30
-27x = 54
Divide
X = -2

Now plug this in the first equation
Y = 5+5(-2)
Y = 5 -10
Y = -5

So X = -2, Y = -5

if 1/5 of 100 oranges is given to Ade and 1/4 of the remaining orange is given to Hardy what fraction of the orange is left​

Answers

Answer:

3/5

Step-by-step explanation:

5/5 - 1/5 = 4/5

4/5 × 4/4 = 16/20

16/20 - 4/20 (1/4) = 12/20

12/20=3/5

I think this is right

The remaining fraction of oranges left is A = 3/5 of the total oranges

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the remaining fraction of oranges be A

And , if 1/5 of 100 oranges is given to Ade, then Ade gets:

1/5 * 100 = 20 oranges

The remaining oranges are:

100 - 20 = 80 oranges

Now , if 1/4 of the remaining oranges is given to Hardy, then Hardy gets:

1/4 * 80 = 20 oranges

So the total number of oranges given away is:

20 (Ade) + 20 (Hardy) = 40 oranges

The fraction of the oranges that is left is:

(100 - 40) / 100 = 60 / 100 = 3/5

Hence , 3/5 of the oranges are left

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ2

Find the surface area.
9 in
7 in
16 in

Answers

❀ Explanation -:

In this question we are provided with the length breadth and height and we are asked to find the surface area of the figure.

[tex] \small\bf{ Length = 16 \: inches } \\ \small\bf{Breadth = 7 \: inches} \\ \small\bf{Height = \: 9 \: inches} [/tex]

We know,

[tex] \pink\star \: \large\boxed{ \pink{ \rm{ Surface \: area = 2(lb + bh + hl)}}}[/tex]

Substituting the values we get

Surface area = 2(16 × 7 + 7 × 9 + 9 × 16)

= 2(112 + 63 + 144)

= 2(319)

= 638

Surface area = 638 inches².

Hey !

Question :

Find the surface area of cuboid .

Given :

Length of Cuboid = 16 inches

Breadth of Cuboid = 7 inches

Height of Cuboid = 9 inches

To Find :

We have to find the surface area of given cuboid .

Concept :

The concept of this question belongs to surface areas of different three dimensional shapes . Whether they are cuboid , cube , cylinder , cone and many more .

Formula Used :

[tex] \boxed{\sf{ \pink{Surface \: Area \: of \: cuboid=} \pink{2(lw + wh + hl)}}}[/tex]

Where ,

l = length height of cuboid

w = width height of cuboid

h = height of cuboid

So Starting Our Solution :

Substituting value in formula ,

[tex] \longmapsto \: 2 ((16 \times 7) + (7 \times 9) + 9 \times 16)[/tex]

Now ,

[tex] \longmapsto \: 2(112 + 63 + 144)[/tex]

Adding the values which are inside bracket ,

[tex] \longmapsto \: 2(319)[/tex]

Now multiplying 319 by 2 ,

[tex] \longmapsto \: \bold{ 638 \: inches {}^{2} }[/tex]

Therefore ,

[tex] \boxed{ \sf \pink{Surface \: area \: of cuboid = 638 \: in {}^{2} }}[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

#[tex] \rm{Keep \: Learning}[/tex]

A cylinder has a diameter of 10 decimeters. What is the length of the curved surface?
78.5 decimeters
31.4 decimeters
62.8 decimeters
15.7 decimeters

Answers

The length of the curved surface is the circumfrence of a circle with radius r = 10/2 = 5 decimeters.

Length of curved surface = 2π x 5 = 10π ≈ 31.4 decimeters.

Three boxes are stacked one on top of the other. One box is 6 feet 6 inches tall, one is 4 feet 11 inches tall, and one is 5 feet 8 inches tall. How high is the stack? Write your answer in feet and inches. Use a number less than 12 for inches.

Answers

Heyo xD! Its easy since we have been asked to find out the total height of the stack which will be equal to the sum of height of each box. Thus, we can easily add them up and get our answer.

Given :-

Box 1 = 6 ft. 6 inches Box 2 = 4 ft. 11 inchesBox 3 = 5 ft. 8 inches

To Find :-

The height of the stack

Solution :-

Height of the stack,

=> 6 ft. 6 inches + 4 ft. 11 inches + 5 ft. 8 inches

=> 15 ft. 15 inches

And we know that 12 inches = 1 ft.

Thus, 15 inches = 1 ft. 3 inches

Thus,

=> 15ft. + 1 ft. 3 inches

=> 16 ft. 3 inches

Thus, the height of the stack is 16 ft. 3 inches.

Answer:

17 feet and 1 inch

Step-by-step explanation:

6 feet and 6 inches + 4 feet and 11 inches equals  10 feet and 17 inches.

10 feet and 17 inches + 5 feet and 8 inches equals 15 feet and 25 inches.

When converted the answer is 17 feet and 1 inch. This is so because 25 divided by 12 equals 2 remainder 1 . 2 feet plus 15 feet equals 17 feet and the remainder is 1 which is 1 inch.

So, the answer is 17 feet and 1 inch.

3,5,6 please help me with these

Answers

Answer:

you cant do these they are 3rd and 4th questions

Step-by-step explanation:

Answer:

You can find the answers by dividing the numbers

Step-by-step explanation:

Hmu if u still need help :)

What is the slope of
the line?
[?]
[]
Give your answer as
a fraction in simplest
form.

Answers

Answer:

slope = 3/2

Step-by-step explanation:

we rise 3 and run 2 which gives us y=3/2x

100 points please help

Factor 36x2 + 60x + 25.

(6 x + 5) 2
(12 x + 5)(3 x + 5)
(6 x + 5)(6 x - 5)

Answers

36x^2+60x+25=(12x+5)(3x+5)

What is the mode of the data set?
78, 82, 91, 78, 92, 77, 80, 74, 81

Answers

Answer:

The mode is 78

Step-by-step explanation:

Mode: The digit that has been repeated the most in a specific data.

To determine the mode of the data, let's arrange the data in ascending order.

Arranging the data in ascending form, we get:

⇒ 74, 77, 78, 78, 80, 81, 82, 91, 92

In the ascending data, we can see that: (Refer to underlined and bolded text)

74 has been repeated once77 has been repeated once78 has been repeated twice80 has been repeated once81, has been repeated once82 has been repeated once91 has been repeated once92 has been repeated once

Since 78 has been repeated the most, 78 is the mode of the data.

A cube has a volume of (0.75xy)3 cubic centimeters.
What is the volume of the cube expressed as a fraction?

Answers

Answer:

[tex]\frac{27}{64} x^{3} y^{3} cm^{3}[/tex]

Step-by-step explanation:

0.75 means  75/100 which is equal to 3/4.

Cube of 3/4 is [tex]\frac{3^{3} }{4^{3} }[/tex]= 27/64

x cube means x will be multiplied with itself thrice, which is [tex]x^{3}[/tex]and following the same logic, y cube means y will be multiplied with itself three times which is [tex]y^{3}[/tex]. The unit [tex]cm^{3}[/tex]at the last is very important, because, without it, the value does not show that this value is used to represent a volume so we write the units after writing the value.

write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants.

x-2
________
x^2+11x+28

Answers

Answer:

  A/(x+7) +B/(x+4)

Step-by-step explanation:

The denominators of the partial fraction expansion are the factors of the denominator of the rational function.

__

Here, the rational function's denominator can be factored as ...

  x² +11x +28 = (x +7)(x +4)

Then the form of the decomposition is ...

  [tex]\dfrac{x-2}{x^2+11x+28}=\boxed{\dfrac{A}{x+7}+\dfrac{B}{x+4}}[/tex]

_____

Additional comment

Here, A=3. B=-2.

If the factors of the denominator have multiplicity greater than 1, then there is a fraction with each power of that factor up to the multiplicity. For example, if there is a factor (x+4)³, then the decomposition would include fractions A/(x+4) +B/(x+4)² +C/(x+4)³.

What is the BEST evidence that the author would make a good sportswriter?
A) the poem's admiring attitude toward athletes
B) the fact that she has failed at almost every sport
C) the poem itself, which is a funny description of sports
D) the fact that she has loved sports since she was very young

Answers

Answer:

C

Step-by-step explanation:

The poem itself, which is a funny description of sports.

Answer: C) the peom itself which is funny description of sports.

Step-by-step explanation: The reason this is the answer is because The poem they wrote towards the athletes and passion they have for sports.

Trudie is playing a game with identical-sized colored sticks. She has a container with a total of 10 red, 12 green, 19 blue, and 9 yellow sticks.



If Trudie picks a stick without looking, what is the probability the stick will be green?


A 12%


B 24%


C 76%


D 88%

Answers

Answer:

B. 24%

Step-by-step explanation:

Filling the character requirement lol

Answer:

b

Step-by-step explanation:

it gies in and out the equation

What is the equation for the graph shown?

Answers

Y= 2/3x + 4

It goes up 2 and goes right 3. And on the y-axis, it starts at 4 (0,4)

Answer:

Step-by-step explanation:

please help me will give brainliest. look at attachment

Answers

Answer:

The correct answer is Choice C.

Step-by-step explanation:

I drew a diagram of all the triangles to compare the statements given to each other

I marked the triangle sides with lines to show congruency in length.

One line for AB = DF

Two lines for AB = GI

Three lines for BC = HI

Four lines for DE = HI

The angles are all marked for the last sentence we are given.

The first and third triangles are the only ones similar. This is because of SAS congruence as given in the Diagram. AB = GI, angle B = angle I, BC = IH

The second triangle is different from the rest, and even if we tried to rotate it ad compare it, it would still be wrong.

Find the value of xxx in the isosceles triangle shown below. Choose 1 answer: Choose 1 answer: (Choice A) A x = 20x=20x, equals, 20 (Choice B) B x = 7x=7x, equals, 7 (Choice C) C x=\sqrt{52}x= 52 ​ x, equals, square root of, 52, end square root (Choice D) D x = \sqrt{40}x= 40 ​ x, equals, square root of, 40, end square root

Answers

Answer:

look at pic

Step-by-step explanation:

In the given case, the value of "x" in the given isosceles triangle is 18 degrees.

The given triangle is an isosceles triangle, which means that it has two equal sides. Let's denote the length of each equal side as "x".

To find the value of "x", we need to use the properties of an isosceles triangle. In an isosceles triangle, the base angles (the angles opposite to the equal sides) are congruent (equal in measure).

Since the base angles are congruent, we can set up the following equation: 2x + 3x + 5x = 180 degrees

Combining like terms, we have: 10x = 180 degrees

To solve for "x", we divide both sides of the equation by 10: x = 18 degrees

Therefore, the value of "x" in the given isosceles triangle is 18 degrees.

To know more about   isosceles here

https://brainly.com/question/29793403

#SPJ2

Which decimal is greater: 0.347 or 0.437?

Answers

Answer:

0.437

Step-by-step explanation:

Decimals are read the same as whole numbers, starting with the first digit, which is the largest, to the right. So, to find the larger decimal you need to look at the first digit. If this digit is the same then continue to the right until there is a difference in the number. In this case, the first digit is different. Therefore, whichever has the larger first digit must be the greater one. Since 4 > 3, 0.437 must be greater than 0.347.

Other Questions
Which of these materials are organic? (Select all that apply.)A. rockB. leafC. clayD. bacteria(PICK MORE THAN ONE) also no links or troll answers What is your opinion of this statement?Cartoons should be about fun stories that make the audience laugh, not about serious topics.AgreeDisagreeExplain why you voted the way you did. Write a net ionic equation for the reaction that occurs when magnesium carbonate (s) and excess hydrochloric acid (aq) are combined. Think carefully about the angle relationship the following represents.What is the value of x?1) 482) 663) 244) 33 In Vonnegut's story "Harrison Bergeron," George thinks about his son being in jail (before the sound of a 21-gun salute distracts him). What label has he clearly accepted as a description of his son, and why does he think of his son in this way?1.He regrets that his son has become a poor example to others because of Harrison's lawlessness.2.He believes that his son is normal because George knows that he and Hazel are not normal.3.He thinks of his son as abnormal because Harrison doesn't follow the rules like everyone else.4.He considers his son as a criminal because Harrison has clearly broken the rules and been imprisoned. The office building shown has shaded windows for the rooms in whichthe lights are turned off.What portion of the rooms have their lights turned off?A) 2/3B) 3/4C) 15%D) 60% What are the solutions of x^2 + 6 x - 6 = 10? How could you take a protein with a known sequence of amino acids and use it to create an artificial gene? Find the slope of the line that is parallel and perpendicular to the following equation.2x - y = 1 Coach Fraser will select a captain and a co-captain from the students in her physical education class. If there are 22 students from which to select, how many different outcomes are possible? a. 484 b. 462 c. 44 d. 22 Despite their contributions on the battlefield during America's conflicts, Buffalo SoldiersSelect the best answer from the choices provided..still encountered discrimination from civiliansOBwere punished more harshly than white troops.received less recognition than white unitsOD.All answers are correct. why didnt Harriet Tubman free her husband? What adaptations do sand mason worms have to survive their environment?. The points (-1, r) and (4, 6) lie on a line with slope 3. Find the missing coordinate r. Zachary is an engineer and studies trains. He found this interesting problem involving a passenger train and a freight train: A passenger train left New York and traveled North while a freight left from the same place, at the same time and traveled South. After traveling for 6 hours the trains were 720 miles apart. If the passenger train was traveling at 80 mph, how fast was the freight train traveling 8 pointsFind the measure of the arc orangle indicated. Assume thatlines which appear tangent aretangent. *FE46??570DTO 123O 149O 167O 93 An antibiotic kills 60% of bacteria in a sample of 100,000 each day. The equation P2 - 100,000(0.4) represents thepopulation, P, after d days. Four days after introducing the antibiotic to the first sample, a scientist introduces the sameantibiotic to a second population, P2. The number of bacteria after d days in the second population is represented by theequation P2 = 100,000(04) 0-4. Which equation is equivalent to pz?O P2 - 2,560(0.4)O P2 - 99,744(0.4)O 02 - 100,256(0.4)O P2 - 3,906,250(0.4) The product of 2 consecutive even integers is 528 find the value of each integers Find the area please! *you can use decimals if needed* By how much did the population of the US grow between 1870 and 1900?360 million3.6 million36 million3.6 Billion