What are the coordinates of D, E, and F after a reflection over the y axis? Plot these points on the grid, and label them D′, E′ and F′.

Answers

Answer 1

The Coordinates of the point D will be (-3, 3) and point E will be (0, 5) and point F will be (2, -2).

According to the statement

We have to find that the points of the coordinates.

So, For this purpose, we know that the

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

From the given information:

the coordinates of D, E, and F after a reflection over the y axis? Plot these points on the grid, and label them D′, E′ and F′.

Then

Coordinates of a point is given by (x,y)

And

Here, x represents the horizontal distance of the point from origin (0,0) and y represents the vertical distance of the point from origin.

Let's take an example of point D,

Horizontal distance of point D from origin x =-3 and vertical distance from origin y =3.

Then

Coordinates of the point D will be (-3, 3).

Coordinates of the point F will be (2, -2).

Coordinates of the point E will be (0, 5).

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So, The Coordinates of the point D will be (-3, 3) and point E will be (0, 5) and point F will be (2, -2).

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What Are The Coordinates Of D, E, And F After A Reflection Over The Y Axis? Plot These Points On The

Related Questions

10. 1.4810 irrational number

Answers

Answer:

List A: 2√2, 3√2, 4√2, …

List B: 2π, 3π, 4π, …

List C: 2log35, 3log35, 4log35, …

Step-by-step explanation:

work this out please

Answers

Answer:

1/16

Step-by-step explanation:

32= 2^5

Thus:

(2^5) ^-4/5

= (2)^ - 4

= (16) ^ - 1

= 1/16

esse rode his bike for 2 hours at a constant rate. During the first 1.5 hours, he rode 12 miles. How many miles did Jesse ride his bike during the last half hour? (Enter an exact number.)
mi

Answers

In the last half hour 4  miles did Jesse ride his bike.

What is distance?

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Jesse rode his bike for 2 hours at a constant rate.

First 1.5 hours, he rode 12 miles.

According to given question we have

1.5 hours=12 miles

1 hours=12/1.5

0.5 hours=12*0.5/1.5

0.5 hours=4  miles

Therefore, in the last half hour 4  miles did Jesse ride his bike.

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Use the information and diagram below to find the value of y. (Type a number answer only.)

Use the information and diagram below to find the value of x. (Type a number answer only.)

Answers

Answer:

I never took the lesson but il try!

Step-by-step explanation:

so if y is 34° and x should be 54° if I am being correct!

The answer because this question is kinda confusing

Answers

Answer: Find [tex]2^{21} = (2y)^{3}[/tex] then the solution of [tex]y^{3}[/tex] = [tex]2^{7}[/tex]

Step-by-step explanation:

Given data,

                     [tex]2^{21}[/tex] = [tex](2y)^{3}[/tex]

[tex](a^{m)^{n} }[/tex] = [tex]a^{m*n}[/tex] says that when you take a number, a , and multiply it by itself m times, then multiply that product by itself n times, it's the same as multiplying the number a by itself m * n times.

we can use formula,

                    [tex](a^{m)^{n} }[/tex] = [tex]a^{m} a^{n}[/tex]

So,

we can write,

                       [tex]2^{21}[/tex] = [tex]2^{3} y^{3}[/tex]

                        [tex](2^{7} )^{3}[/tex] = [tex]2^{3} y^{3}[/tex]

                          [tex]2^{7} 2^{3}[/tex] = [tex]2^{3} y^{3}[/tex]

cancel the [tex]2^{3}[/tex] in both sides,

Then,

                       [tex]2^{7}[/tex] = [tex]y^{3}[/tex]

Therefore,

                      [tex]y^{3}[/tex] = [tex]2^{7}[/tex]

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How to do domain and range

Answers

Answer:

bjuk

Step-by-step explanation:

ftftrtt987652123456789

a. write a sequence too described the number of blocks needed to create the figure for each step.
b. how many blocks will be needed to create the next figure?
c. describe the sequence in words
3. in a sequence, the first term is 12 and the common difference is -5. find the 4th term of sequence

Answers

Using arithmetic sequences, it is found that:

a) The sequence is: [tex]a_n = 5 + 3(n - 1)[/tex].

b) 14 blocks will be needed to create the next figure.

c) The sequence means that the number of blocks start at 5 and increase by 3 each figure.

3) The 4th term of the sequence is of -3.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

From the figure, we have that:

The Figure 1 has 5 dots.The Figure 2 has 8 dots.The Figure 3 has 11 dots.

Hence the first term and the common ratio are given as follows:

[tex]a_1 = 5, d = 3[/tex]

The sequence is: [tex]a_n = 5 + 3(n - 1)[/tex], hence the sequence means that the number of blocks start at 5 and increase by 3 each figure.

For item b, the amount is:

[tex]a_4 = 5 + 3(4 - 1) = 14[/tex]

14 blocks will be needed to create the next figure.

For item 3, the sequence is given by:

[tex]a_n = 12 - 5(n - 1)[/tex]

Hence the 4th term is:

[tex]a_4 = 12 - 5(4 - 1) = -3[/tex]

The 4th term of the sequence is of -3.

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D(7,3) is the midpoint, (MP), of AB.
E(10, 4) is the MP of BC.
F(5,5) is the MP of AC
Find the coordinates of A, B, and C

Answers

vertex of A = (x1,y1) =(2,4)

vertex of B = (x2,y2)= (12,2)

vertex of c = (x3,y3) = (8,6)

Midpoint :

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

x= x1+x2/2

y=y1+y2/2

Now ,

D(7,3) is the midpoint of AB.

D (x',y') = (7,3)

vertex of A = (x1,y1)

vertex of B = (x2,y2)

x' = x1+x2/2

7 = x1+x2/2

14 = x1+x2 ...1

y' = y1+y2/2

3= y1+y2/2

6= y1+y2 .....2

E (x'',y'') = (10,4)

vertex of c = (x3,y3)

vertex of B = (x2,y2)

x''= x3+x2/2

y''=y3+y2/2

20= x3+x2 ....3

8 =y3+y2.......4

F (x''',y''') = (5,5)

vertex of c = (x3,y3)

vertex of A = (x1,y1)

10= x1 +x3 ...5

10 =y1+y3 .....6

For 1 & 3 & 5

14 = x1+x2 ...1

20= x3+x2 ....3

10= x1 +x3 ...5

Add all  1 & 3 & 5

44 = 2(x1+x2+x3)

22 = (x1+x2+x3) .....7

For 1 & 7

x3 = 8

For 3 & 7

x1 = 2

For 5&7

x2 = 12

For 2 , 4 & 6

6= y1+y2 .....2

8 =y3+y2.......4

10 =y1+y3 .....6

Add all  2 & 4 & 6

24 = 2 (y1+y2+y3)

For 2 & 8

y3 = 6

For 4 & 8

y1 = 4

For 6 & 8

y2 = 2

vertex of A = (x1,y1) =(2,4)

vertex of B = (x2,y2)= (12,2)

vertex of c = (x3,y3) = (8,6)

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from the graph of each parabola, determine whether the parabola opens upward or downward, and find the vertex, axis of symmetry, and range of the function. find the maximum and minimum value of the function and the intervals on which the function is increasing and decreasing. URGENT 20 POINTS!

Answers

A quadratic function is one that has the formula f(x)=ax2+bx+c, where a, b, c, and an are all real values and a 0 a 0. The conventional form of a quadratic function is this form.

The quadratic function's graph is a U-shaped curve known as a parabola.

Below is a graph of the equation y=x2y=x2; it is a parabola.

The parabola rises if a>0a>0 in f(x)=ax2+bx+cf(x)=ax2+bx+c.  In this case, the vertex is the smallest or lowest point of the parabola.

The vertex of the y=x2y=x2 graph is (0, 0). (0,0).

The parabola opens downhill if a0a0 in f(x)=ax2+bx+cf(x)=ax2+bx+c is true. The maximal or highest point of the parabola in this instance is called the vertex.

The value of cc for an equation in standard form yields the graph's yy-intercept.

The axis of symmetry is the line that divides the parabola into two symmetric sections and runs through the vertex.

In the case of the graph y=ax2+bx+cy=ax2+bx+c, where a=0a=0, the equation for the axis of symmetry is x=b2ax=b2a.

The yy-axis, with x=0x=0, is the axis of symmetry in all of the graphs above. The axis of symmetry in the graphs below is different (marked in red.) As you can see, cc still provides the yy-intercept.

If you write a quadratic function like x=f(y)=ay2+by+cx=f(y)=ay2+by+c, instead of writing yy as a function of xx, you obtain a parabola with a horizontal axis of symmetry.

Hence, that the xx-intercept in this situation is cc. When aa is positive, the graph opens to the right; when aa is negative, it opens to the left.

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At 7:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 28270 ft. and is descending at the rate of 550 ft/min. Airplane #2 has an elevation of 5270 ft. and is climbing at the rate of 700 ft/min.

(1) Let
t
represent the time in minutes since 7:00 am, and let
E
represent the elevation in feet. Write an equation for the elevation of each plane in terms of
t
.
plane #1:
E
(
t
)
=


plane #2:
E
(
t
)
=



(2) At what time will the two airplanes have the same elevation?
t
=

minutes after 7:00 am

(3) What is the elevation at that time?
E
=

feet
Question HelpQuestion 25: Message Message instructor

Answers

Using linear functions, it is found that:

1. The functions are given as follows:

E1(t) = 28270 - 550t.E2(t) = 5270 + 700t.

2. They will have the same elevation after 18.4 minutes.

3. At that time, the elevation is of 18,150 feet.

What is a linear function?

A linear function is modeled in slope-intercept form by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For the functions in this problem, we have that:

The initial heights are the intercepts.The rates are the slopes, climbing positive and descending negative.

Hence the functions are given as follows:

E1(t) = 28270 - 550t.E2(t) = 5270 + 700t.

They will have the same elevation when:

E1(t) = E2(t)

28270 - 550t = 5270 + 700t

1250t = 23000

t = 23000/1250

t = 18.4.

They will have the same elevation after 18.4 minutes.

This elevation will be of:

28270 - 550(18.4) = 18150.

At that time, the elevation is of 18,150 feet.

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If a single fair die is rolled, find the probability of the following result.
An even number, given that the number rolled was 1.

Answers

Answer: so assuming this is a d6, it's 3/6

Step-by-step explanation:

on a d6, there are 6 sides (duh). three out of the six numbers are even, two four and six. so, three out of the six numbers you can roll are even.

What is the size of the sample space for
the outcomes of rolling two 20 sided
dice?

Answers

Step-by-step explanation:

So, the total number of joint outcomes (a,b) is 6 times 6 which is 36. The set of all possible outcomes for (a,b) is called the sample space of this probability experiment

help meeeeeeeeeeeeeeee please !!

Answers

Answer: 59

Step-by-step explanation:

Solve the equation.
Question 1, 9.3.1
-6y+6= -2(4y + 4)
Solve

Answers

Solution  : y = -7

One Variable in the linear equation :

The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2. Whereas if we speak about linear equations in two variables, it has two solutions.

-6y+6= -2(4y + 4)

-6y = -8y -8 -6

-6y +8y = -14

2y = -14

y = -14/2

y = -7

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Joyce saved $150 on an item that was 35
%
off. What was the original price?



Write answer to the nearest cent.

Answers

$202.50 is your answer

5. The surface area of a cuboid is 518 cm².
The breadth of the cuboid is 11 cm and its
height is 9 cm. Find the length of the cuboid.

Answers

The correct answer is 8 cm.

Given the surface area = 518 cm²

breadth of the cuboid = 11 cm

height of the cuboid = 9 cm

Now let l be the length of the cuboid,

The total surface area (TSA) of a cuboid is provided by the sum of the areas of its six rectangles, where l, b, and h are the length, width, and height, respectively

Cuboid's total surface area formula,

Thus the surface area of the cuboid = 2(lb+bh+lh)

518 = 2 ( l × 11 + 11 × 9 + l × 9 )

518 = 2 (11l + 99 + 9l)

259 = 11l +99 +9l

259 - 99 = 20 l

160/20 =l

length = 8 cm

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In simplest terms, Adam can see a√b feet farther than Pam. a = , b =

Answers

It is recommended that the expressions

d = 400 - 256 and

d = 256 - 400 be considered when attempting to determine how much farther Adam can see to the horizon.

The calculation for the expression is as follows:

Since, the eye-level height of Pam is 256 feet above sea level, whereas the eye-level height of Adam is 400 feet above sea level.

Therefore, the formula that indicates how much farther Adam can see to the horizon should be taken to be

d = 400 - 256 and

d = 256 - 400.

This expression may be found by subtracting 400 from 256.

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CQ

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? In simplest terms, Adam can see a√b feet farther than Pam.

Answer:

A= 2 B= 6

Step-by-step explanation:

the dude above me is wrong

Find the length of the segment AB with the endpoints as A(-3,7) and B(6,14).
Round to 1 decimal.
AB=

Answers

The length of AB is 11.40 units.

The length of two points can be calculated using the distance formulae.

The distance formulae comes under the Co-ordinate geometry section.

The distance between two points is measured by squaring  the sum of the difference between the x and y co-ordinates and then applying the square root to the result.

Here the two points given are A(-3,7) and B(6,14).

The length of the line segment AB is = √(-3-6)²+(7-14)²

                                                              = √(-9)²+(-7)²

                                                              = √81+49

                                                              = √130

                                                              = 11.40 units

So, the length of line segment AB is 11.40 units.

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17x12 help what do it equal

Answers

Answer:

Step-by-step explanation:

17

12

-----

do 7 x 2

14

then carry the 1

2x1 is 2 plus the 1 from before. it becomes 3

then do 1 x 7 then 1 x 1 but with an extra zero

so it becomes

17

12

---------

34

170

---------

then add it all together

34+170=204

Answer: 17*12=204

                                               

Step-by-step explanation:  because of G O O G L E

2.12 rounded to the nearest hundedth.

Answers

Answer: 2.12

Step-by-step explanation:

it's in the hundredths place

2       .   1           2

ones    tenths  hundredths

An engineering school reports that 53% of its students are male (M), 37% of its students are between the ages of 18 and 20 (A), and that 31% are both male and between the ages of 18 and 20.

What is the probability of a random student being chosen who is a female and is not between the ages of 18 and 20?

Your answer should be to two decimal places.

Answers

The probability of a random probability of a random student being chosen who is a female and is not between the ages of 18 and 20 will be 0.06.

How to calculate the probability?

From the information, 53% of its students are male (M), 37% of its students are between the ages of 18 and 20 (A), and that 31% are both male and between the ages of 18 and 20.

Probability to females = 100% - 53% = 47%

Therefore, the probability of a random student being male or between the ages of 18 and 20 will be:

= 37% - 31%

= 6%

Therefore, the probability of a random student being female or between the ages of 18 and 20 will be 6%.

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Christa and Megan have sales jobs at different companies. Christa earns $18 for each successful sales call she
makes plus 3% commission on her sales. Megan earns $21 for each successful sales call she makes plus 3.5%
commission on her sales. In July, Christa made 35 successful sales calls and Megan made 29 successful sales calls.
They each had the same sales, in dollars, for July, and they made the same total salary that month. Which equation
can be used to find x, the amount Christa and Megan each had in sales in July?

Answers

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

What is an equation?

An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.

Let x represent the amount Christa and Megan each had in sales in July. Hence:

For Christa = 18(35) + 0.03x

For Megan = 21(29) + 0.035x

630 + 0.03x = 609 + 0.035x

The equation that shows the amount Christa and Megan each had in sales in July is 630 + 0.03x = 609 + 0.035x

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What is the slope of the line?

Answers

Answer: 3/-4

The slope is measured in terms of rise over run. Rise is how many units you go up or down from the point (0, 0). Run is how many units you go left to right from the point where rise left off.  For this question, we go up 3 and to the left 4. SO that's a 3 on top and a -4 on the bottom.

I hope this helps! :) I'm a huge Algebra nerd!!! I love Algebra. :)

HELP PLESSE i need to hrr it turned in 4 horus

Answers

Answer: 5358

Step-by-step explanation:

282

x 18

----------

2538

+282

-----------

5358

what is the simplifed form of the following expression? (3/5)^3

Answers

Answer:

Step-by-step explanation:

The simplified form of the expression (3/5)³  = 27/125

Step-by-step explanation:

The given expression is (3/5)³

3/5 is a proper fraction.

(3/5)³ can be written as,

(3/5)³ = 3³/5³

To find  3³ and 5³

3³ = 3*3*3 = 27

5³ =5*5*5 =125

whats 26/7 as a mixed number

Answers

Answer:3 and 5/7

Step-by-step explanation:

The first steps in writing f(x) = 3x2 – 24x + 10 in vertex form are shown.

f(x) = 3(x2 – 8x) + 10

(StartFraction negative 8 Over 2 EndFraction) squared = 16

What is the function written in vertex form?

f(x) = 3(x + 4)2 – 6
f(x) = 3(x + 4)2 – 38
f(x) = 3(x – 4)2 – 6
f(x) = 3(x – 4)2 – 38

Answers

The function is written in vertex form the equation for is  mathematically given as

f(x) = 3(x – 4)2 – 38

This is further explained below.

What is the function written in vertex form?

Generally, To convert the expression "f(x) = 3x2 – 24x + 10," which is in quadratic form, into vertex form, which will look like this "y = a(x-h)2 + k," you will need to apply the technique of completing the square. This will allow you to convert the expression. In the beginning, we shall separate the x2 and x terms.

y = 3(x² - 8x) + 10

We start with a negative eight, divide that number by two to obtain a negative four, and then we square that number, which gets us sixteen. We combine these so that it forms a perfect square, and then we remove 16 so that it is not altered in any way. We will get:

y = 3(x² - 8x + 16 - 16) + 10

y = 3((x - 4)² ) - 48 + 10

y = 3(x - 4)² - 38

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Answer: option D

Step-by-step explanation:

The area of this rectangle is 54 square inches. Create an equation to find the value of n. Length is 3(n-1) and the width is n+2

Answers

Value of n is 4

The area of a rectangle is equal to the product of its length and width.

we know ,

the area of  rectangle, multiply the length, , and the width, ,

and set the product equal to the area.

area of rectangle        = length * width

            54                  = 3(n - 1) * (n + 2)

             54                 =( 3n - 3) * (n + 2)

multiply ( 3n - 3) with  (n + 2)

we get,

              54                = [tex]3n^{2} + 6n - 3n -6[/tex]

              54                = [tex]3n^{2} + 3n -6[/tex]

              54                = 3([tex]n^{2} + n -2[/tex])

             [tex]\frac{54}{3}[/tex]                  =  ([tex]n^{2} + n -2[/tex])

             18                 =  ([tex]n^{2} + n - 2[/tex])

 [tex]n^{2} + n - 2[/tex] - 18           = 0

 [tex]n^{2} + n - 20[/tex]                = 0

solve them

 [tex]n^{2} + 5n + 4n -20[/tex]       = 0

 n (n + 5) - 4 (n + 5)   = 0

(n + 5)(n -4)  

then we get,            

n = -5 , n = 4

value of n should not be negative . so value of n is 4

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.

The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area

Area of rectangle = Length x Breadth

A = lb

how to Factoring Quadratic Equation

Step 1: Consider the quadratic equation ax2 + b x + c = 0

Step 2: Now, find two numbers such that their product is equal to ac and sum equals to b.

(number 1)(number 2) = ac

(number 1) + (number 2) = b

Step 3: Substitute these two numbers in the formula given below:

(1/a) [a x + (number 1)]  [a x + (number 2)] = 0

Step 4: Finally simplify the above equation.

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chapter 7 /pt3
10.Find the value of each trigonometric ratio.

Answers

335*10^23+(52^3)*678

John's test grade is 5 points less than twice Ariana's test grade. If x represents Ariana's test grade, write an expression for John's test grade.

Answers

In linear equation, 2x - 5 is an expression for John's test grade.

What is linear equation in one variable?

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Let Ariana's test grade = x

twice Ariana's test grade =  2x

then, John's test grade  = 2x - 5

an expression for John's test grade = 2x - 5

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Match the following vocabulary terms to their correct definitions. Question 1 options:Contains carbon compounds or comes from a once living organism.Ex: coal Two or more different atoms of an element chemically joined togetherTwo or more atoms of an element chemically joined togetherSmallest object that retains the properties of an element.Does NOT contain carbon. Ex: minerals 1. Atom2. Molecule3. Compound4. Organic5. Inorganic What are some examples of motion? Include the examples you found and describe an accurate frame of reference for one example. Then, describe an inappropriate frame of reference for that example. Write each equation in logarithmic form. 2=0.125 In 2017, survey research indicated that what percentage of u.s. adults supported the legalization of marijuana? A student who was trying to determine the concentration of escherichia coli in a sample completed a total plate count assay. After plating 1ml of the 10-6dilution tube and incubating the plate at 37oc for 24 hours the student counted 210 colonies on the plate. What is the cfu/ml of the original sample?. I NEED THIS ASAP!! It's not hard science btw. How can polluted stream waters enter groundwater sources? Be sure to use key terms from the lesson in your explanation. HINT: keywords= infiltration, irrigation, point sources, non point sources, etc. (you do NOT need to use all of these! ) what type of figurative language can you find in the stanzas in the story pauls revere ride.options are A.metaphorB.simile C.idiom D.personification What is the value of X in the equation3/2{4x-1}-3x=5/4-{x+2}? What are the correct answers? 3 are correct Four transmembrane regions changes conformation as gaba binds. which system is this process describing? m to the second power equals 14 Enzymes are proteins capable of recognizing and binding to very specific small molecules, such as glucose. Which level of protein structure most directly leads to this binding specificity?. Which is the proper is the proper order of a bill becoming a law after it is introduced in the senate? bate, committee, senate approval, house approval, presidential action ommittee, debate, house approval, senate approval, presidential action ommittee, debate, senate approval, house approval, presidential action lebate, senate approval, house approval, committee, presidential action The nurse is caring for a patient admitted with angina who is scheduled for cardiac catheterization. the patient is anxious and asks the reason for this test. what is the best response? The period T(time) of a simple pendulum depends on the length and the acceleration due to gravity. Derive the exact form of this dependence.Please help. (0,0) and (-10, 6), then the midpoint is located at What was the purpose of Andrew Jackson's message to Congress "On IndianRemoval"? Es urgente por favooorTres compaeros se reparten un premio que han ganado en unconcurso. Carlos se lleva 1/3 del premio, Luisa los 2/5 del premio yCarmen, el resto, que son 6240 .a) A cunto ascenda el premio?b) Cunto corresponde a Carlos y a Luisa? A Gallup poll asked americans how many hours of sleep they usually get. The difference between the percent of adults who slept smore than the recommended amount of time and the percent who slept less than the recommended amount of time is 3%. In total, these groups make up 25% of the population. What percent of the population sleeps more than the recommended number of hours, and what percent sleeps less? I NEED HELP ASAP!!!See attached file.20 Points!! First one gets brainlist!