Which statements accurately describe the function f(x) = 3(16) superscript three-fourths x? select three options.

Answers

Answer 1

Range for the given Exponential function [tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] is f(x) > 0.

the correction option is a). f(x) > 0

The function given in, the question is exponential function is given by
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]  Which is an exponential function. The domain of the  give function is (-∞, ∞).

what is exponential function?

The function which is in format f(x) =  [tex]a^{x}[/tex] where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

the Question seems to be incomplete. And options could be
a) f(x) > 0              c) f(x) ≤ 0
b) f(x) < 0              d) f(x) ≥ 0

Simplification of the given equation
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]      
[tex]f(x) = 3(2^4)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(8)^{x}[/tex]

clearly, the range of the exponential function is f(x) > 0.

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Related Questions

Sylvia bought 4 bananas for 50 cents each and 1 apple for 80 cents. Write a numerical expression to represent this situation and then find the total cost.

Answers

Answer: 280

Step-by-step explanation:

50 cents for each banana so: 4* 50= 200

200+80

Answer is 280

Mark ran a mean distance of 13.2 km in five days. The next day, Mark ran 20 km.
Find the mean distance Mark ran in the six days.

Answers

Answer:

16.6

Step-by-step explanation:

Add the numbers together.

13.2+20=33.2

Now divide the number by 2.

33.2/2=16.6

Hope this helps!

If not, I am sorry.

Divya is solving the following equation for w. 3w -√20-5w = 2 Her first few steps are given below. 3w = √20-5w+2 3w-2= √/20 - 5w (3w - 2)² =(√20 – 5w) 9w² - 12w + 4 = 20 - 5w Is it necessary for Divya to check her answers for extraneous solutions?​

Answers

Divya should not check her answers for extraneous solution as it's not required in this case.

What is an extraneous solution?

It should be noted that an extraneous solution simply means is the transformed equation that's isn't the root of the original equation.

Based on the information given, Divya had already solved the equation and it's not necessary to check the answers for extraneous solution.

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Answer:

No, she shouldn't.

5y + 3= 14

pleaseeeee help ​

Answers

Answer:

5y + 3= 14

subtract 3 from each side

5y=11

divide each side by 5

5y/5=11/5

y=11/5 or 2.2 or 2 1/5

Hope This Helps!!!

Answer:

2.2

Step-by-step explanation:

Properties needed:

Subtraction Property of EqualityDivision Property of Equality


First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.

5y + 3 = 14

      -3    -3

5y = 11

Then we need to divide 5 from both sides (division property of equality) to get y.

[tex]\frac{5y}{5} = \frac{11}{5}[/tex]

And we get 2.2

Please mark brainliest!

I hope this helps!

Have a great day!

An amusement park charges $7 for adults, $2 for youths, and $0.50 for children. if 150 people enter and pay a total of $100, find the numbers of adults, youths, and children. [hint: these numbers are nonnegative integers.]

Answers

The number of adults are 2 . the number of youths are 8

Given charge $7 for adults , $2 for youth and $0.50 for children

Let the number of adults , youths and children be x , y and z

Now it is given that there is total pay of 100

Therefore the equation formed is

7x + 2y +0.50 = 100

Now it is also given that 150 people enter

Therefore

x+y+z=150

x+y+z =150

14x+4y+z=200

Using argument matrix

[tex]\left[\begin{array}{ccc}1&1&1\\14&4&1\end{array}\right] \left[\begin{array}{ccc}150\\200\end{array}\right][/tex]

Corresponding system equation is

x+y+z=150

y+(13/10)z=190

Take z = m (arbitary)

y = 190 - 1.3 m

x = 150 - y

m = 140 x = 2 and y = 8

Hence The number of adults are 2 . the number of youths are 8

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Lilly is a pizza driver. Lilly has to make 4 deliveries.
Delivery 1: 35 Minutes
Delivery 2: 14 Minutes
Delivery 3: 18 Minutes
Delivery 4: 27 Minutes
What is the average amount of time it takes to deliver pizza?

Answers

Answer:

23 min 30 sec

Step-by-step explanation:

First, you add 35 + 14 + 18 + 27 which is 94.
Next, you divide 94 by the number of deliveries there were. Which is 4.
94/4 = 23.5.
So your answer would be 23 minutes and 30 seconds.

I Hope This Helped :D

Answer:

23.5 minutes or 23 minutes and 30 seconds

Step-by-step explanation:

1. add all the minutes

35 minutes + 14 minutes + 18 minutes+ 27 minutes = 94 minutes

2. Divide the total amount of minutes by the number of deliveries

94 minutes =  23.5 minutes or 23 minutes and 30 seconds

4 deliveries

You are heading to a drive-in movie and will need exact cash at the entrance for everyone in your car to get in. The cost is $6.50 per person. Write an expression that represents the total cash needed for your car based on the number of people, p, in your car.

Answers

Answer:

Using the concept of equation of line, we find that the relationship will be

C = $6.5p.

Step-by-step explanation:

If the cost per head is $6.5 and there are p persons entering the car, then the total amount would be $6.5p.

The final equation would resemble the equation of line y = mx + c.

The expression for the total cost C, would be

C = 6.5p.

Here y = C, x = p, m = 6.5 and c = 0.

So, the expression for the total cost will be the equation of line C = 6.5p.

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3/2 x 7/2= 2^x

A. X= 1

B. X= 3

C. X= 5

D. X= 8

Answers

The answer is b when you plug it in

Bookwork code: M29 Calculator allowed The circle below has centre U. BC and DE are tangents to this circle. Work out the size of angle 0. Give reasons for your answer. A 52° B O E Watch video D 27° 0 C Not drawn accurately A Bookwork code : M29 Calculator allowed The circle below has centre U. BC and DE are tangents to this circle . Work out the size of angle 0 . Give reasons for your answer . A 52 ° B O E Watch video D 27 ° 0 C Not drawn accurately A​

Answers

1) [tex]OA=OB[/tex] (all radii of a circle are equal)

2) [tex]\angle OBA=52^{\circ}[/tex] (angles opposite equal sides in a triangle are equal)

3) [tex]\angle OAB+\angle OBA+\angle AOB=180^{\circ}[/tex] (angles in a triangle add to 180 degrees)

4) [tex]52^{\circ}+52^{\circ}+\angle AOB=180^{\circ}[/tex] (substitution)

5) [tex]\angle AOB=76^{\circ}[/tex] (subtraction)

6) [tex]\angle AOB+\angle BOD=180^{\circ}[/tex] (angles on a line add to 180 degrees)

7) [tex]76^{\circ}+\angle BOD=180^{\circ}[/tex] (substitution)

8) [tex]\angle BOD=104^{\circ}[/tex] (subtraction)

9) [tex]\angle ODE=\angle OBC=90^{\circ}[/tex] (tangents are perpendicular to the radius of a circle at the point of tangency)

10) [tex]\angle ODC=117^{\circ}[/tex] (angle addition postulate)

11) [tex]\angle BOD+\angle OBC+\angle ODC+\angle DCB=360^{\circ}[/tex] (angles in a quadrilateral add to 360 degrees)

12) [tex]104^{\circ}+90^{\circ}+117^{\circ}+\theta=360^{\circ}[/tex] (substitution)

13) [tex]\theta=49^{\circ}[/tex] (subtraction)

(-3, 1)
-5-4-3
(-2,-4)
k
4
4
ob
1
2-
3+
(2/2)
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (-3, 1)?
Oy-1= -2(x+3)
Oy-1=-(x+3)
Oy - 1 =
Oy-1 =
(x+3)
(x+3)

Answers

Answer:

What is the slope of the line represented by the equation y = y equals StartFraction 4 Over 5 EndFraction x minus 3.x – 3?

Step-by-step explanation:

The equation of line that is parallel to the given line having slope m = -1 and passes through the point ( -3 , 1 ) is y = -x - 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( -3 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

The slope of the line m = -1

Now , the line is parallel to the line passing through P

So , the slopes of the lines are equal

And , the equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 1 = -1 ( x - ( -3 ) )

y - 1 = -1 ( x + 3 )

Adding 1 on both sides , we get

y = -x - 3 + 1

y = -x - 2

Hence , the equation of line is y - 1 = -1 ( x + 3 )

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Half the product of two numbers is 36 if one number is 9 what is the other number

Answers

Answer:

x=9

y=?

36= 1/2(x*y)

36 *2 = 2* 1/2 (9*y)

72 = 9*y

72/9= 9*y/9

8=y

The other number is 8.

Unit 11: volume & surface area homework 6: surface area of pyramids and cones

Answers

The answer for the following part is

What is Volume?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Surface Area of Cone,

= πrl + πr²

=3.14*8*15.77 + 3.14* 8*8

= 597.61804 mm²

Surface Area of triangular pyramid,

= apothem * slant height * length

= 73.6

Surface Area pentagonal pyramid

= B + LA

= 247.75 + 5 ( 1/2*12*19.5)

= 247.75 + 5 ( 117)

= 832.75 in²

Surface area of square pyramid

= P*l /2

= 2400 ft²

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PLS I REALLY NEED HELP I NEED TO PASS THIS ASAP

Answers

The volume of the cylinder is 1692.46dm³.

How to calculate the volume?

It should be noted that the volume of a cylinder is calculated as:

= πr²h

r = radius = 7dm

h = height = 11dm

Volume = πr²h

Volume = 3.14 × 7² × 11

Volume = 3.14 × 49 × 11

Volume = 1692.46dm³

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f(x) = x^2 + 5x - 1 is shifted 3 units left the result is g(x). What is g(x)?

Answers

Answer:

A. g(x)=x^2+5x+2

Step-by-step explanation:

f(x) = x^2 + 5x - 1 Shift 3 units to the left. k=3

g(x)=x^2+5x-1+3=x^2+5x+2

g(x)=x^2+5x+2

Hope this helps!

If not, I am sorry.

Which of the following are solutions to the equation below?

(2x+3)^2 = 10

Check all that apply.

Answers

Answer:

x = (√10  -3)/2  and (-√10  -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10  -3

2x = ±√10  -3

Divide each side by 2

2x/2 = (±√10  -3)/2

x = (±√10  -3)/2

There are two solutions

x = (√10  -3)/2

and (-√10  -3)/2

       

Answer:

[tex]\large {\textsf{A and D}}\ \implies \sf \sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}[/tex]

Step-by-step explanation:

Given: (2x + 3)² = 10

In order to find the solutions to the given equation, we can take the (square) roots of the equation to find the zeros, which are also known as the x-intercepts. This is where the zeros intersect the x-axis.

Note: when taking the square roots of a quadratic equation, remember to use both the positive and negative roots.

Step 1: Square both sides of the equation.

[tex]\sf \sqrt{(2x + 3)^2} = \sqrt{10}\\\\\Rightarrow 2x+3=\pm\sqrt{10}[/tex]

Step 2: Separate into possible cases.

[tex]\sf x_1 \implies 2x+3=-\sqrt{10}\\\\x_2 \implies 2x+3=\sqrt{10}[/tex]

Step 3: Solve for x in both cases.

[tex]\sf \bold{x_1} \implies 2x+3=-\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=-\sqrt{10}-3\\\\\Rightarrow 2x=-\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{-\sqrt{10}-3}{2}\\\\\Rightarrow x_1=\dfrac{-\sqrt{10}-3}{2}\\\\[/tex]

[tex]\sf \bold{x_2}\implies 2x+3=\sqrt{10}\ \ \textsf{[ Subtract 3 from both sides. ]}\\\\\Rightarrow 2x+3-3=\sqrt{10}-3\\\\\Rightarrow 2x=\sqrt{10}-3\ \ \textsf{[ Divide both sides by 2. ]}\\\\\Rightarrow \dfrac{2x}{2}=\dfrac{\sqrt{10}-3}{2}\\\\\Rightarrow x_2=\dfrac{\sqrt{10}-3}{2}[/tex]

Therefore, the solutions to this quadratic equation are: [tex]\sf \bold{x_1}=\dfrac{-\sqrt{10}-3}{2},\ \bold{x_2}=\dfrac{\sqrt{10}-3}{2}[/tex]

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I need help for solving y in this problem 2x -y =1​

Answers

Answer:

y = 2x - 1

Step-by-step explanation:

Given equation: 2x - y = 1

We're being asked to solve for y. This is also known as the Slope-Intercept Form. It is represented by the following formula:

y = mx + b

where:

m is the slopeb is the y-intercept (when x = 0)

Steps:

1. Subtract 2x from both sides:

[tex]\sf 2x-2x - y = 1-2x\\\\\implies-y=-2x+1[/tex]

2. Divide both sides by -1:

[tex]\sf \dfrac{-y}{-1}=\dfrac{-2x+1}{-1}\\\\\implies y=2x-1[/tex]

This equation has a slope of 2, and a y-intercept of -1.

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Given a b and m/1 = 42°
What is m/6?
Enter your answer in the box.

Answers

Answer:0.166666667 metros

Step-by-step explanation:
espero te ayude

What is the measure of the unknown angle?

straight angle divided into a one hundred thirty two degree angle and an unknown angle

48°
49°
51°
53°

Answers

48 degrees: a straight line is 180 degrees so to solve you subtract 132 from 180 to get 48 degrees
A or 48 degrees

Hope this helps

The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below: Step 1: 4(2x − 4) = 8 + 2x + 8 Step 2: 6x − 8 = 16 + 2x Step 3: 6x − 2x = 16 + 8 Step 4: 4x = 24 Step 5: x = 6 In which step did the student first make an error and what is the correct step? (5 points) Step 2; 8x − 4 = 2(6 + x + 6) Step 2; 8x − 16 = 16 + 2x Step 3; 6x − 2x = 16 − 8 Step 3; 6x + 2x = 16 + 8

Answers

He made his mistake on step 2
Correct next step is 8x-16=16+2x
Add 16 on both sides
You get 8x=32+2x
Then subtract 2x on both sides
You get 6x=32
Divide by 6 on both sides
Left with x=5.3 repeated or 16/3

A,B, C and D are the four corners of a rectangular plot marked out on level ground. Given that the bearing of B from A is 40 and the bearing of C from A is 90, Find the bearing B frOm C

Answers

Answer:

given - a rectangle ABCD

AB = 40

AC. = 90

BC = ?

in triangle ABC

using Pythagoras theorem

(AB) ² + (BC) ² = (AC) ²

(40)² + (BC) ² = (90)²

(BC) ² = (90)²- (40)²

(BC) ² = 8100 - 1600

(BC) ² = 6500

BC =

[tex]20 \sqrt{10} [/tex]

Which currency is it

Answers

Answer:

pounds (£)

Step-by-step explanation:

pounds are used in countries such as the UK and South Georgia

Solve for x in the equation
X
O x=-11±25
O x=-11+25
0 x--11+5√/5
Ox--11,5/5
2
x²+11x+121-125
4
=

Answers

Answer:

The answer for this question is c

The value of x from the quadratic term equation is x = ( -11/2 ) ± ( 5√5 ) / 2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² + 11x + 121/4 = 125/4

Subtracting ( 125/4 ) on both sides , we get

x² + 11x + ( 121 - 125 ) / 4 = 0

x² + 11x - 1 = 0   be equation (1)

On simplifying , we get

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

So , x = [ -11 ± √ ( 11 )² - 4 ( 1 ) ( -1 ) ] / 2

On further simplification , we get

x = -11 ± √ ( 121 + 4 ) / 2

x = [ -11 ± √125 ] / 2

x = ( -11/2 ) ± ( 5√5 ) / 2

Therefore , the roots of the equation are x = ( -11/2 ) ± ( 5√5 ) / 2

Hence , the quadratic equations are solved

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Determine whether the given differential equation is exact. If it is exact, solve it. (tan(x)-sin(x)sin*y))dx+cos(x)cos(y)dy=0 g

Answers

The differential equation

[tex]M(x,y) \, dx + N(x,y) \, dy = 0[/tex]

is considered exact if [tex]M_y = N_x[/tex] (where subscripts denote partial derivatives). If it is exact, then its general solution is an implicit function [tex]f(x,y)=C[/tex] such that [tex]f_x=M[/tex] and [tex]f_y=N[/tex].

We have

[tex]M = \tan(x) - \sin(x) \sin(y) \implies M_y = -\sin(x) \cos(y)[/tex]

[tex]N = \cos(x) \cos(y) \implies N_x = -\sin(x) \cos(y)[/tex]

and [tex]M_y=N_x[/tex], so the equation is indeed exact.

Now, the solution [tex]f[/tex] satisfies

[tex]f_x = \tan(x) - \sin(x) \sin(y)[/tex]

Integrating with respect to [tex]x[/tex], we get

[tex]\displaystyle \int f_x \, dx = \int (\tan(x) - \sin(x) \sin(y)) \, dx[/tex]

[tex]\implies f(x,y) = -\ln|\cos(x)| + \cos(x) \sin(y) + g(y)[/tex]

and differentiating with respect to [tex]y[/tex], we get

[tex]f_y = \cos(x) \cos(y) = \cos(x) \cos(y) + \dfrac{dg}{dy}[/tex]

[tex]\implies \dfrac{dg}{dy} = 0 \implies g(y) = C[/tex]

Then the general solution to the exact equation is

[tex]f(x,y) = \boxed{-\ln|\cos(x)| + \cos(x) \sin(y) = C}[/tex]

m∠DFG=(2x+6)° and m∠EFG=(3x−11)°. Find the value of x.

The figure shows straight angle D F E that consists of two angles, D F G and E F G.

Answers

Answer:

x = 37

Step-by-step explanation:

A straight angle is 180 degrees. That means ∠DFG & ∠EFG have to add together to be 180.

2x + 6 + 3x - 11 = 180     Combine like terms

5x - 5 = 180                   Add 5 to both sides

5x = 185                         Divide by 5

x = 37

∠DFG = 80°

∠EFG = 100°

a motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West what is the velocity of the wind.​

Answers

The velocity of the wind will be 50 km per hour.

What is a vector?

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

A motorcyclist riding North along a straight road at 50 km per hour observes that the wind appeared to have a velocity of 50 km per hour from the direction North 60 degrees West.

Then the velocity of the wind will be

Let x be the speed of the wind. Then we have

x² = 50² + 50² - 2 x 50 x 50 x cos 60°

x² = 2500 + 2500 - 2500

x² = 2500

x = 50 km per hour

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??????????????????????????????????????????????????

Answers

Answer:

x=20

Step-by-step explanation:

The angles are 'Co-interior Angles', they make a C shape and add up to 180 degrees

so 4x +5x =9x

9x=180

x=20

4x=80

5x=100

Type a number for the types of journals that will be available to you in the new lma

Answers

Answer:

Step-by-step explanation:

What are the 6 types of journals?

There are various types of journals including:

academic/scholarly journals.

trade journals.

current affairs/opinion magazines.

popular magazines.

newspapers.

Raya buys a van for £9500 plus VAT at 20%
Raya pays a deposit for the van.
She then pays the rest of the cost in 12 equal payments of £665 each month.
Find the ratio of the deposit Ray pays to the total of the 12 equal payments.
Give your answer in its simplest form.

Answers

Step-by-step explanation:

yo thara bhai joginder tu he ek bndr

Y = 4x -2 and y = x +3

Answers

Answer:

(0.5,2) and (-3,3)

Step-by-step explanation:

Answer:

Y = 4x -2 is (0.5,2)

y = x +3 is (-3,3)

what is 25:28 in slimpelst from

Answers

Answer:

25:28 is the simplest form

Step-by-step explanation:

This is a ratio, think of it like a fraction. You can simplfy it by dividing by common factor.

25 and 28 have no common factors except for 1.

25: 1,5,25

28: 1,2,4,7,14,28

It will stay as 25:28

Answer:

it stays the exact same or 0.893

Step-by-step explanation:

Other Questions
Mama observes the following at the end of the play:Select one:a. Walter came into his manhood.b. She secretly feels proud of saying she cant do anything with stubbornness of her children.c. She has pride in her children.d. All of the abovee. Both A & C 16x^2+?x+36 perfect square trinomial Read the rough-draft paragraph.More than likely, fellow volunteers will have many common interests and ideals. After all, volunteers usually seek opportunities to use their time and talents for issues they care about, and this is often a good starting point for many friendships. As co-volunteers, hours will be spent together learning from one another and inspiring each other while working to achieve a common goal. Teaming up with others to solve community problems and making changes for the better, not surprisingly, often leads to long-lasting bonds.Which topic sentence should be added to this body paragraph?Local community programs provide opportunities for volunteers to share their expertise.Volunteering for local community programs enables people to establish new friendships.Acquaintances made while volunteering for a project are rarely continued beyond the projects conclusion.Every community has programs that will gladly accept the services of enthusiastic volunteers. {x + 8y = -16{x-3y = -5 Loss of part of the Earth's cryosphere will exert a positive radiative forcing effect on climate change because Group of answer choices the overall albedo of the planet will be decreased. ocean thermal expansion will be increased. less carbon dioxide will be absorbed from the atmosphere by plants. more of the sun's radiation will be reflected into space. How did balkan nationalism contribute to world war one Rationalize the Denominator2i/i-2 Which two revolutions owe much to scientific revolution? Write an equation of a line in slope-intercept form that passes through (-2, 1) with a slope of 5. Write an equation of a line in slope - intercept form that passes through ( -2 , 1 ) with a slope of 5 . WILL GIVE BRAINLIEST AND 30 POINTS FOR CORRECT ANSWERWho reports that Hamlets stockings are down to his knees? Why is this fact reported? Write a statement that toggles the value of onoffswitch. That is, if onoffswitch is false, its value is changed to true; if onoffswitch is true, its value is changed to false. (Giving 80 points, Please do not answer if you don't know. The second and third answer are not 4 btw)Point A is on the point 6 and Point B is on the point 0. Let's use the Ruler Postulate to find the length of AB.AB=|ab|AB=|60|AB=|6|AB=6The length of AB is 6. We can also write this as AB=6 or mAB=6.Find the Length of CDNow, let's find the length of CD. Point C is on the point 4 and Point D is on the point 8.CD=|cd|CD=|48|CD=|4|CD=4The length of CD is 4. We can also write this as CD=4 or mCD=4Your Turn1. What is the length of BC? 42. What is the length of AC? 3. What is the length of AD? What does Off Chance mean? Please help SCH3U :) Question 7 of 17Which transition word best connects the ideas within the followingparagraph?Some people who disagree with the idea of climate change may refer it as a"non-science.", these people may not realize that this claim is based onnon-science.A. NowB. ThenC. ThereforeD. HoweverSUBMIT What paradox of social injustice is presented in these lines from Countee Cullen's From the Dark Tower Rocks and Minerals as Resources Lab ActivityReflection Questions:1. Describe the ways mining in the real world can affect society, ecosystems, and the environment of a specific region.2. Using your answers to the question above, list the criteria you believe should be addressed by land reclamation. Prioritize your criteria by order of importance. Explain the order you selected for your criteria.3. Complete reclamation of mined land is the solution you practiced in this cookie mining lab. What reasoning supports this solution as one that will provide the largest benefits and least costs to society and the environment? 4. Legislation requiring the reclamation of the land makes mining more expensive. How important is this constraint to achieving complete reclamation of mined land? 5. Were the minerals evenly distributed throughout the cookie mines? In the real world, how important is this constraint (distribution of mineral ore) to achieving complete reclamation of mined land? 6. Were you able to restore the land exactly as it was prior to mining? In your experience, would reclamation of mined land be able to restore and stabilize the natural system of the region? Refining Design1. How would you refine your mining techniques in this activity in order to maximize reclamation? Be sure to include proposed changes in costs, safety, and restoration of the area. 2. Predict how your refined mining techniques could affect the social and environmental stability of the region. Describe the solution of f(x) shown in the graph. a parabola opening up passing through 0 comma 2, 1 comma zero and 2 comma zero All real solutions All solutions that lie on f(x) All positive solutions All whole number solutions What is the purpose ofstatistical analysis?A. to compare the data to the hypothesis and thedifference between the expected values and theresultsHopeC. to list the observations of the experiment anddevelop a hypothesisB. to state the best possible outcome of theexperimentD. to organize the data from the experiment intoa chart Question 1 of 18Suppose that g(x) = f(x) - 16. Which statement best compares the graph ofg(x) with the graph of f(x)