(x-1)(x+1)= выполнить умножение

Answers

Answer 1

Answer:

x^2-1^2

Step-by-step explanation:

formula:

(a-b)(a+b)=a^2-b^2


Related Questions

There are 760 calculators,6 were defective what is the probability that a calculator chosen at random will be defective

Answers

Answer:

Unlikely

Step-by-step explanation:

well if you want the chance it’s unlikely. This is because you only have 6 defective calculators and the rest or majority are not defective.

Find the value of x.

Answers

Answer:

Step-by-step explanation:

Remark

What you don't know and what makes the problem confusing, is that where to the given arcs start and end. So I am going to say that both arcs start from E and 119 ends at D, and 174 ends at F which means that the arc FD is not known, but it is not hard to find.

The total number of degrees from beginning to end is 360 degrees. The formula for finding FD is

Formula

FD = 360 - (174 - 119)

The formula for x is (ED - FD)/2

Solution

Arc FD = 360 - (174 - 119)

Arc FD = 67

So x = (119 - 67) / 2

x = 52 /2

x = 26


A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The
slant height of the pyramid is 93.2 in. What is the height of the pyramid?
The height of the pyramid is aboutin.
(Round to one decimal place as needed.)

Answers

The height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.

What is a square pyramid?

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.

We have a square pyramid.

Length of the pyramid = 23.4 in

The slant height of the pyramid = 93.2 in

From the figure:

Base length CB  = DC = 23.4 in

In a right-angled triangle, BCD

Applying Pythagoras theorem:

DC² + CB² = DB²

23.4² + 23.4² = DB²

DB = 33.092 in

OB = (1/2)DB

OB = (1/2)33.092 = 16.546 in

In the right-angle triangle AOB, again applying Pythagoras theorem:

AO² + OB² = AB²

h² + 16.546² = 93.2²

AO = h (height of the square pyramid)

AB = slant height = 93.2 in

After calculating, we get:

h = 91.719 ≈ 91.72 in

Thus, the height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.

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HELP FOR BRAINLIEST & 100
please

Answers

Answer:

Hi,

Step-by-step explanation:

1) PC=PD since PC*PA=PD*PB

2)25 since PO²=PA²+r² PO=14.5, PB=14.5+10.5=25

3)

6²=3*x==> x=12

If f(x) = x³ +7x²-x and g(x)=x²-3, What is the degree of g(f(x))?
a)2
b)3
c)6
d)8

Answers

Answer:

c) 6

Step-by-step explanation:

Given :

⇒ f(x) = x³ + 7x² - x

⇒ g(x) = x² - 3

===============================================================

Finding the degree of g(f(x)) :

⇒ Degree of f(x) = 3

⇒ Degree of g(x) = 2

⇒ Therefore, degree of g(f(x)) = degree of f(x) × degree of g(x)

⇒ Degree of g(f(x)) = 3 × 2

⇒ Degree of g(f(x)) = 6

g(f(x))g(x³+7x²-x)(x³+7x²-x)²-3

Degree of g(f(x))

Use Pascal's law

3×26

Option C

35. the set, s consists of 900,000,000 whole numbers, each being the same number of digits long. howmany digits long is a number from s? (hint: use the fact that a whole number cannot start with the digit 0.)

Answers

Answer:

9 digit long

Let the number of digits be n and the number of elements in set be s.

When n = 1The set contains 1-digit numbers, 1 through 9,The set consists of 10 - 1 = 9 numbers.

When n = 2The set contains 2-digit numbers, 10 through 99,The set contains 100 - 10 = 90 numbers.

When n = 3The set contains 3-digit numbers, 100 through 999,The set contains 1000 - 100 = 900 numbers.

The pattern we see helps us determine the relationship between s and n as follows.

When set contains n-digit numbers, the set contains:

s = 10ⁿ - 10ⁿ⁻¹ = 10ⁿ⁻¹(10 - 1) = 9*10ⁿ⁻¹ elements

We have s known, substitute it into equation above and solve for n:

900000000 = 9*10ⁿ¹100000000 = 10ⁿ⁻¹10⁸ = 10ⁿ⁻¹n - 1 = 8n = 9

The numbers in the set s are 9-digit long.

please explain how to do this

Answers

I’m guessing you just have to multiply all the sides together and divide

Find (fog)(0).
f(x)
=
6x
g(x) = 3x + 6
(fog)(0)

Answers

Answer:

12

Step-by-step explanation:

The functions f(x) and g(x) are defined as f(x) = 6x and g(x) = 3x + 6

fog(x) = f(g(x))

= f(3x + 6)

= 6(4x +2)

6 x 4x = 24x

6 x 2 = 12

fog(x) = 24x + 12

(fog)(0) where x = 0

= 24(0) + 12

= 0 + 12

(fog)(0) = 12

help me pleaseeeeeeeeeeeeeee

Answers

Answer:

C

Step-by-step explanation:

Evaluating the options :

Option A

⇒ 5/2x + 7/2 = 3/4x + 14

⇒ 2.5x - 0.75x = 14 - 3.5

⇒ 1.75x = 10.5

⇒ x = 6

No ×

===========================================================

Option B

⇒ 5/4x - 9 = 3/2x - 12

⇒ 1.5x - 1.25x = -9 + 12

⇒ 0.25x = 3

⇒ x = 12

No ×

=========================================================

Option C

⇒ 5/4x - 2 = 3/2x - 4

⇒ 1.5x - 1.25x = -2 + 4

⇒ 0.25x = 2

⇒ x = 8

Yes √

C is the right answer.

The hour and minute hand of a clock form an angle that constantly changes. During each hour of the day,the clock hands will form right, acute and obtuse angles. Assume the hour hand points directly at the hour.Write a time of day when the two clock hands form each tyep of angle

Answers

The each type of angle are discussed below

What is angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

If the hours hand point to the hour 1 and minute hand at 12 then

angle will be acute.

If the hours hand point to the hour 2 and minute hand at 12  then

angle will be acute.

If the hours hand point to the hour 3 and minute hand at 12  then

angle will be right angle .

If the hours hand point to the hour 4 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 5 and minute hand at 12  then

angle will be obtuse.

If the hours hand point to the hour 6 and minute hand at 12  then

angle will be straight angle .

If the hours hand point to the hour 7 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 8 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 9 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 10 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 11 and minute hand at 12  then

angle will be reflex.

If the hours hand point to the hour 12 and minute hand at 12  then

angle will be Complete angle.

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The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 12 vans and 11 buses with 576 students. High School B rented and filled 4 vans and 9 buses with 384 students. Each van and each bus carried the same number of students. How many students rode in each van?

Answers

Answer:

15 students

Step-by-step explanation:

To solve this question, we can set up a system of equations.

Let's start by naming our variables.

We can call the number of students that rode in a van "x".

Then, let's name the number of students that rode a bus "y".

Knowing this, we can create two equations and then solve.

For High School A, the equation would be as follows:

12x+11y=576

For High School B, it would be:

4x+9y=384

What you have to do now, is to eliminate one of the variables.

I'm going to choose to do it with elimination, but substitution also works.

I'm going to multiply the second equation by 3, so that we can subtract the equations to eliminate the x variable.

3(4x+9y=384)

Since we're multiplying 3 to both sides, the equation will remain true.

12x+27y=1152

Now, let's subtract the other equation from this one:

  12x+27y=1152

-  12x+11y=576

_____________

0x+16y=576

Our new equation is:

16y=576

Divide both sides by 16 to isolate y

y=36

This means that 36 students rode in each bus.

Let's now use this info to solve for x.

We can do this by plugging in 36 for y.

4x+9y=384

4x+9(36)=384

Simplify

4x+324=384

Subtract 324 from both sides

4x=60

Divide both sides by 4

x=15

This means that 15 students rode in each van.

As I mentioned earlier, this could have also been solved by substitution.

You would have had to isolate one variable so that one of the equations read x= something or y= something

After that, you plug that in to the other equation so you're left with only one variable.

You then simplify, and plug the value back in for the other variable.

Given the nature of this question, that would have involved working with decimals, so I chose elimination instead.

Please let me know if you have any questions!

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have given that,

The senior classes at High school A and High school B planned separated trips. The number of bus and vans rented by high school class A are 12 vans and 11 buses. The number of bus and vans rented by high school class B are 4 vans and 9 buses. The total number of students in class A are 576 students. The total number of students in class B are 384 students .

Let the number of students in van be 'x' and number of students in bus be 'y' .

According to the question,

Linear equation for class A

[tex]\sf{ 12x + 11y = 576 ...eq(1)}[/tex]

Linear equation for class B

[tex]\sf{ 4x + 9y = 384 ...eq(2) }[/tex]

Subtract eq(2) from eq(1) :-

[tex]\sf{ 12x + 11y -( 4x + 9y) = 576 - 384 }[/tex]

[tex]\sf{ 12x + 11y - 4x - 9y = 192 }[/tex]

[tex]\sf{ 8x + 2y = 192 }[/tex]

[tex]\sf{ 2(4x + y) = 192 }[/tex]

[tex]\sf{ 4x + y = {\dfrac{192}{2}}}[/tex]

[tex]\sf{ 4x + y = 96}[/tex]

[tex]\bold{ y = 96 - 4x ...eq(3) }[/tex]

Subsitute eq (3) in eq(1) :-

[tex]\sf{ 12x + 11( 96 - 4x) = 576 }[/tex]

[tex]\sf{ 12x + 1056 - 44x = 576 }[/tex]

[tex]\sf{ 12x - 44x = 576 - 1056}[/tex]

[tex]\sf{ -32x = - 480 }[/tex]

[tex]\sf{ x = {\dfrac{-480}{-32}}}[/tex]

[tex]\bold{ x = 15 }[/tex]

Thus, The value of x is 15 .

Now, subsitute the value of x in eq(2) :-

[tex]\sf{ 4(15) + 9y = 384 }[/tex]

[tex]\sf{ 60 + 9y = 384 }[/tex]

[tex]\sf{ 9y = 384 - 60 }[/tex]

[tex]\sf{ 9y = 324 }[/tex]

[tex]\sf{ y = {\dfrac{324}{9}}}[/tex]

[tex]\bold{ y = 36 }[/tex]

Thus, The value of y is 36

In this question, we have taken x and y are the number of students in each van and a bus.

Therefore,

The number of students in each van = 15

The number of students in each bus = 36

Hence, The number of students rode in each van are 15 .

PLEASE HELP ILL LIKE AND ITS WORTH 20 points !!

Answers

Answer:

EG=

[tex] \frac{28 }{ \sqrt{3} } [/tex]

EF=

[tex] \frac{56}{ \sqrt{3} } [/tex]

Step-by-step explanation:

You have to memories Trigonometric ratios of 60

Write the equation 2x - 4y = 14 in slope-intercept form, and then find the slope and y-intercept.

Answers

Answer:

y = 1/2x - 7/2

Slope: 1/2

Y-intercept: (0, -7/2)

Step-by-step explanation:

We know the slope-intercept form of an equation of a line is y = mx + c where slope is m and y-intercept is c.

So, -4y = (-2)x + 14 [divide both sides by -4]

-4/-4 = -2/-4 + 14/-4

y = 1/2 -7/2

Hence the slope =  1/2 and y-intercept = -7/2.

find the angle of this sector.
on the image ​

Answers

Answer:

[tex]\alpha =107.4^{o}[/tex]

Step-by-step explanation:

[tex]15=\frac{\pi (8)\alpha }{180}[/tex]

[tex]\alpha =\frac{(15)(180)}{8\pi } =\frac{2700}{25.13}=107.4[/tex]

Hope this helps

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ s=15\\ r=8 \end{cases}\implies 15=\cfrac{\theta \pi (8)}{180}\implies 15=\cfrac{2\pi \theta }{45} \\\\\\ 675=2\pi \theta \implies \cfrac{657}{2\pi }=\theta \implies 104.56^o\approx \theta =a[/tex]

2. Find the area and the perimeter of these figures.

Answers

Answer:

A = 16.78 km squared

P = 14.28 km

Step-by-step explanation:

Area of triangle: (5*4)/2 = 10

Area of Semi-circle: (πr2)/2 = 6.28

Area of figure: 10 + 6.28 = 16.78

Perimeter: 5 + 3 + (2πr)/2 = 8 + (2π) = 8 + 6.28 = 14.28

Hope this helps!

Answer:

i don't know the perimeter but I do know the area hope this helps if it doesn't I am sorry

Ok for area for a triangle is 1/2 ×base×height and for a semi circle it is pi (π)or 3.14 or 22/7×rsquare with is radius x radius

Step-by-step explanation:

lets start with the triangle so it is 1/2×3/1×5/1×4/1 =30/1 =30sqkm

now for the semi circle it is 22/7×2/1×2/1=88/7=12.5÷2=6.2 why is 4/1 turned into 2/1 it is because you are finding area and 4 is the diameter but we need radius so the radius is half of the diameter

so 30+6.2=36.2kmsq

Sam Whittington was the fastest cyclist on record (in 2009) with a speed of 37.5 m/s. Calculate the time taken in hours to cycle 53.2 km.

Answers

Answer:

39.407 hour

Step-by-step explanation:

T = D/S

37.5 m/s in km/h

=375×18/10×5

=135 km/h

T = ABCDEFGHIOJKLMNOPQRSTUVWXYZ

The ratio of the number of squares to the number of triangles in simplest form is
added to make the ratlo of the number of squares to the number of triangles 1: 1 Is

Answers

The ratio of the number of squares to the number of triangles is 5 : 2

The number of triangles that should be added to make the ratio is 6

What are the ratios?

Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained in another number.

Ratio of the number of squares to the number of triangles = number of squares : number of triangles

10 : 4

5 : 2

The number of triangles that should be added to make the ratio 1 : 1 - 10 - 4 = 6

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For the function f(x) = 3x + 7, find the following:
a) f(2)=
c) f(x) = 8
b) f(-3) =
d) f(x) = 10

Answers

Answer:

a) 13

b) 1/3

c) -2

d) 1

Step-by-step explanation:

This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:

For example:

f(x) = 3x + 7

f(2) = 3(2) + 7

f(2) = 6 + 7

f(2) = 13

________

f(-3) = 3x + 7

f(-3) = 3(-3) + 7

f(-3) = -9 + 7

f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.

f(-3) = -2

The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:

For example:

f(x) = 8

f(x) = 3x + 7

8 = 3x + 7

8 - 7 = 3x

1 = 3x

x = 1/3

f(x)= 10

f(x) = 3x + 7

10 = 3x + 7

10 - 7 = 3x

3 = 3x

3/3 = x

1 = x

I hope this helps!

Answer:

a) 13
b) 1/3
c) -2
d) 1

Step-by-Step Explanation:

=> f(x) = 3x + 7

a) f(2)

Substitute the Value of ‘x’ :-

= 3x + 7
= 3(2) + 7
= 6 + 7
=> 13

Hence, f(2) = 13

b) f(x) = 8

Equate the Function to 8 :-

3x + 7 = 8
3x = 8 - 7
3x = 1
=> x = 1/3

Hence, x = 1/3

c) f(-3)

Substitute the Value of ‘x’ :-

= 3x + 7
= 3(-3) + 7
= -9 + 7
=> -2

Hence, f(-3) = -2

d) f(x) = 10

Equate the Function to 10 :-

3x + 7 = 10
3x = 10 - 7
3x = 3
=> x = 3/3 = 1

Hence, x = 1

HELPP PLEASE ASAP Use the Pythagorean theorem to find the missing length in the right triangle

Answers

Answer:

c = 10

Step-by-step explanation:

The pythagoras theorem :

a² + b² = c²

a = 6 and b = 8

6² + 8² = c²

36+64 = c²

100 = c²

c = √100

c= 10

Hope this helped and brainliest please

What is the conditional probability that you will randomly select a green box if there are 6,000 boxes. Of those boxes 2,000 are green.

Select one:

a.
1/6


b.
1/5


c.
2/6


d.
1/3

Answers

The conditional probability that you will randomly select a green box is 1 / 3.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability of selecting a green box = number of green boxes / total number of boxes

2000 / 6000 = 1/3

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Fawzia has an action figure collection of 500 action figures. She keeps 58% of the action figures on her wall. How many action figures does she keep on her wall?

Answers

Answer:

290

Step-by-step explanation:

Formula :

Number of action figures on wall = Total number of figures × % of figures on wall

=============================================================

Given :

⇒ Total number of action figures = 500

⇒ % of action figures on wall = 58%

=============================================================

Solving :

Action figures on wall = 500 × 58%

⇒ Action figures on wall = 500 × 58/100 (all % are ratios of 100%)

⇒ Action figures on wall = 5 × 58

⇒ Action figures on wall = 290

Total action figures

58% of 5000.58(500)2.9(100)290action figures

Done!

0.75x + 0.8(x + 10) = 101
what is x

Answers

Step-by-step explanation:

0.75x + 0.8(x + 10) = 101

0.75x + 0.8x + 8 = 101

1.55x = 101 - 8

1.55x = 93

x = 93 ÷ 1.55

x = 60

i need this done in 20 min please help asap

Answers

Answer:

the second one

Step-by-step explanation:

just looking at the y values you get

-24y + 32y so that will give u +8y , there is only one answer with that

50 PTS PLS HELP I'M BEING TIMED!!!!!!!! MY TEACHER IS CRAZY NO SCAMS


Determine the cost of 2 years at a community college or 4 years at a state college (in your home state or out of state). Explain the cost of your chosen college in 4-6 sentences. Remember, the cost of college includes: Tuition Room and board Books/supplies Gas Spending money

Answers

In Colorado, the estimated total in-state college tuition cost for two years is $83,832. It is to be noted that this is inclusive of other factors as shown in the computation below.

What is the calculation for the above figure?

Given the following:

Base Tuition
(Note that this increases by 20% every year) = $12, 650

Off campus Room and Board  - $11, 440

Housing - $5,976

Meals - $ 6, 450

Living Expenses - 1,670

Books and Supplies - $1200

The summary thus is equal to

Base Tuition = $12, 650 * 2 * 1.2

Off campus Room and Board  - $11, 440 * 2

Housing - $5,976  * 2

Meals - $ 6, 450 * 2

Living Expenses - 1,670 *2

Books and Supplies - $1200 *2

This results in:

Base Tuition                               = $30,360

Off campus Room and Board  = $22,880

Housing                                      = $11, 952

Meals                                          = $ 12900

Living Expenses                        = $ 3,340

Books and Supplies                  = $2,400

Grand Total                               = $ 83,832.

Note that the base tuition was estimated to increase at the rate of 20% every year.

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The graph shows the probability distribution of a random variable.
What is the value of P(4≤X≤8)?

0.40
0.45
0.50
0.55

Answers

The answer is 0.50.

P(4<=X<=8)=P(x=4)+ P(x=5)+ P(x=6)+ P(x=7)+ P(x=8)= 0.05+ 0.15+0.15+0.15 +0 = 0.50

Notice that in 8 the line touches the x axis so it’s corresponding probability is 0.

who was regarded as the father of geomotry

Answers

Answer:Euclid

Step-by-step explanation:

Euclid was an ancient Greek mathematician in Alexandria, Egypt. Due to his groundbreaking work in math, he is often referred to as the 'Father of Geometry'. Euclid's most well-known collection of works, called Elements, outlines some of the most fundamental principles of geometry.

Answer:

Euclid  

I hope this helps you!

which of the following demonstrates how the 20 is calculated using the combination pattern​

Answers

The combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

Permutation and Combination

While combination has to do with selection, permutation has to do with arrangement.

According to the combination rule

nCr = n!/(n-r)!r!

The expression that gives the result of 20 is expressed below;

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 6!/6*6
6C3 = 720/36
6C3 =20

Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

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What is the (LCD) 1/6and 1/3

Answers

Answer:

The LCD of 1/6 and 1/3 is 6.

Step-by-step explanation:

Rewriting input as fractions if necessary:

1/6, 1/3

For the denominators (6, 3) the least common multiple (LCM) is 6.

LCM(6, 3)

Therefore, the least common denominator (LCD) is 6.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/6 = 1/6 × 1/1 = 1/6

1/3 = 1/3 × 2/2 = 2/6

What is Oiler's Number and what equations can you do with it?

Answers

The first few digits are: 2.7182818284590452353602874713527 (and more ...) It is often called Euler's number after Leonhard Euler (pronounced "Oiler"). e is an irrational number (it cannot be written as a simple fraction).

The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis.



Which of the following is the best interpretation of the standard deviation of the residuals?

The typical arm span is 161 centimeters.
The typical foot length is 16.1 centimeters.
The typical distance between the observed and predicted arm spans is 1.61 centimeters.
The typical distance between the observed and predicted foot lengths is 1.61 centimeters.

Answers

Answer:

D

Step-by-step explanation:

The correct answer should have a 63%.

It's probably D. The terminology is a little confusing.

The equation of the output looks like:

-7.611 + .186(x) = y

x --> Arm span

y --> Foot span

The linear relationship is formed with the armspan.

Other Questions
The starting line for a race in Cass is 2.4 miles from the finish line. On a map of the course,the starting and finish lines are 6 inches apart. What scale does the map use?Write your answer in simplest form using whole numbers.__ inches = __ miles By illustrating Americans believe that all people should be free Which of the following is a scientific observation about the bird picturedbelow?Scarlet ibisA. The pink feathers are especially beautiful.B.The long beak helps the bird eat insects.C.The scarlet ibis is the national bird of Trinidad.D. The bird's features are red. An adult mamenchisaurus dinosaur was about 24 feet tall . if a toy model of the dinosaur is made to the scale of 1 inch to 9 inches , how tall will the toy dinosaur be Shannon please bring me my new bag of twizzlers but please do not eat any since I bought the bag to eat during theMovie at silver's cineplex.Movie should not be capitalized.There should be a semicolon after Shannon.There should be a comma after twizzlers.cineplex should be capitalized.There should be a comma after Movie.There should be a comma after Shannon.There should be a semicolon after twizzlers.silver's should be capitalized.twizzlers should be capitalized. state advantage of photograph over a map What conclusions can you draw about how objects can exert forces on each other even when they are not in contact? write an evidence-based claim Scientist want to estimate the population of a particular species of snake.They collect a sample population of 20 snakes and mark them with tags.After a few months they catch 120 snakes, 17 of which are marked withtags. What is the best estimate of the total population of snakes? write a letter to the station officer for the theft of your car Akbar was the leader of which led which great empire what is purpose of the author in the wring text As part of a research project, Jasbinder was given the same psychological test three times: at two-month intervals and by three different therapists. Her test results were very consistent across all testing occasions. It is MOST probable that she was given the: The difference between two numbers is 17 and twice the smaller of these is 26. What are the numbers?Does anyone know the answer? A solution of sulfuric acid (h2so4) has a concentration of 6.0m. it contains 14.7mol h2so4. what is its volume? reference: m = mol/l group of answer choices 0.41l 88.2l none of these are correct. 2.45l Based on its structure, which word most likely means "someone who takes advantage of circumstances? . If Carrie decides to continue living on her own,how can she alter her monthly budget to pay for the$300.00 rent increase? Give specific suggestions. [tex]\sqrt{29-12\sqrt{5}[/tex] simplify this A standard die is rolled and a monthof the year is chosen at random.What is the probability of rolling anumber that is at leastthenchoosing a month that does notbegin with the letter M?200 Read Robert Frost's "The Road Not Taken." What are two key themes of this poem?Two roads diverged in a yellow wood,And sorry I could not travel bothAnd be one traveler, long I stoodAnd looked down one as far as I couldTo where it bent in the undergrowth;Then took the other, as just as fair,And having perhaps the better claim,Because it was grassy and wanted wear;Though as for that the passing thereHad worn them really about the same,And both that morning equally layIn leaves no step had trodden black.Oh, I kept the first for another day!Yet knowing how way leads on to way,I doubted if I should ever come back.I shall be telling this with a sighSomewhere ages and ages hence:Two roads diverged in a wood, and l-I took the one less traveled by,And that has made all the difference. OA. We are faced with choices between good and badOB. It is necessary to make choices in lifeOC. Choices are not mandatoryOD. Choices shape a persons life 10 out of 15Which is the equation of the line passing through (0, 8) and (4, 0)?