I need help with math please help me..!!!

I need help with math please help me..!!!

I need help with math please help me..!!!

I Need Help With Math Please Help Me..!!!I Need Help With Math Please Help Me..!!!I Need Help With Math

Answers

Answer 1

Step-by-step explanation:

please remember you middle school and high school classes, homework and exams.

here on college level this is just meant as a quick reminder.

so, what exactly don't you understand, please, so that I can provide specific guidance ?

6

the vertex : the turn-around point, where the parabola curve changes its tendency : (-3, 0.5)

axis of symmetry : since the parabola opens downwards, the axis of symmetry (it is like a mirror for one half of the curve to the other half) is a vertical line going right through the vertex : x = -3

y-intercept is the y-value when x = 0 : (0, -4)

x-intercepts are the x-values when y = 0 :

(-4, 0) and (-2, 0)

max or min : there is only one identifiable extreme value, it is at the vertex, of course, and is clearly a maximum :

at x = -3 the max value of the function is 0.5

the optimal value is the y-coordinate of the vertex (the function value between the 2 x-intercepts) : 0.5

4

y = 0.5x + 6 is linear. why ? because the highest exponent of x is 1. that creates a proportional relationship between x and y meaning y only increases with x in a constant manner.

y = 2x² + 5 is quadratic. why ? because the highest exponent of x is 2. this squares things, in other words, it makes them quadratic.

the graph as third item in the list is neither. the functional value gets exponentially bigger, the closer x gets to 0.

this looks like y = -1/x = x^(-1)

the graph as forth item in the list is a parabola again, and as such it is quadratic.


Related Questions

PLS HELP! 30 POINTS!!!!!

Answers

A Linear equation in standard form is

2x + y = -4

slope of the function = -2

the perpendicular line equation in standard form -x + 2y = -6

How to find slope of linear equation

A standard equation is of the form Ax + By = C

A = 2

B = 1

C = -4

Rearranging the equation to the slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Ax + By = C

By = -Ax + C

y = -Ax/B + C

calculation of slope

m = -A/B

substituting the values of A and B

m = - 2/1

m = -2

a new perpendicular slope, m' is given by

m' = -1/m

plug in the value of m

m' = -(1/-2)

m' = 1/2

new equation passing through point (8, 1)

(y - y₁) = m'  (x - x₁)

y - 1 = 1/2(x -8)

y - 1 = x/2 - 4

y = x/2 - 3

writing in standard form

y = x/2 - 3

2y = x - 6

-x + 2y = -6

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Solve for value of T

Answers

The value of t using straight line angle is 24°.

What is straight line angle ?

  A straight angle in geometry is one that has a length of 180 degrees. Because it seems to be a straight line, it is known as a straight angle. In other words, it is an angle whose sides extend in the same straight line in directions opposite to the vertex.

In mathematics, a straight angle is defined as an angle with a degree value of 180. It looks to be a straight line, hence the name "straight." In essence, two rays linked end to end create an angle according to the mathematical concept of angles. As a result, the two rays of the 180-degree angle are subtended in the direction of their endpoints, which are in the opposite direction.

Here we know that sum of angle in straight line at any point is 180° .

Then,

=> (4t-7)°+83°=180°

=> 4t-7+83 = 180

=> 4t+76 = 180

=> 4t = 180-76 = 104

=> t = 104/4 = 26°

Hence the value of t=24°

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Jacob and Ryan are plumbers. Jacob charges $50 call-
out fee and $70 per hour. Ryan charges $40 call-out fee
and $75 per hour.

Write an expression for the total cost in dollars that
each electrician charges if they work for h hours.
Jacob
Ryan

Answers

Answer:

Lets do Jacob's equation first :)

50$ for fee

70$ per hour (h)

Dollars = 70h + 50

Now lets do Ryan's :)

40$ for fee

75 per hour (h)

Dollars = 75h + 40

Have an amazing day!!

Please rate and mark brainliest!

Vesa has two different choices to buy popcorn at the movie
theater. She can buy them in cylinder-shaped boxes with a
length of diameter 20cm and length of height 40cm, or with
a length of diameter 30cm and length of height 20cm.
Which box should Vesa choose if she wants to buy more
popcorn?

Answers

Answer:

She should choose the second cylinder-shaped box with a diameter of 30 cm and a height of 20 cm.

Step-by-step explanation:

The volume of a cylinder with a diameter of 20 cm (radius of 10 cm) and a height of 40 cm:

[tex]V=\pi{r^2h}[/tex]

[tex]V=\pi{(10^2)(40)}[/tex]

[tex]V\approx{12566.37\text{ cm}\textsuperscript{3}}[/tex]

The volume of a cylinder with a diameter of 30 cm (radius of 15 cm) and a height of 20 cm:

[tex]V=\pi{r^2h}[/tex]

[tex]V=\pi{(15^2)(20)}[/tex]

[tex]V\approx{14137.17\text{ cm}\textsuperscript{3}}[/tex]

Therefore, if Vesa wants to buy more popcorn, she should choose the second cylinder-shaped box with a diameter of 30 cm and a height of 20 cm.

Carl is making accessories for the soccer team. He uses 773.85 inches of fabric on headbands for 29 players and 4 coaches. He also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Your answer might be 16.31 inches for each headband and wristband for each player.

---------------------------------------

Hope this helps!

Joke: What has ears but can’t hear a thing?

Answer: A cornfield.

Have a great day and God bless! :D

Identify the function shown in this graph. 3 17 3 2 12 1 1 2 3 4 5 A. y=-3x +3 B. y = -3x-3 PLEASE HELP ME ANSWER THIS I WILL GIVE 30 POINTS AND A BRAINLYEST​

Answers

Answer:

It's B. A good way to look at it is the last number. The last number is the y-intercept. Here the y-intercept is -3. That's how I would always figure it out.

4x (x + 10) + 55 = 180

Answers

x = 5/2 and x = -25/2 are the solutions to the equation 4x (x + 10) + 55 = 180.

What is the solution to the quadratic equation?

Given the equation in the question;

4x (x + 10) + 55 = 180

To solve for x, apply distributive property to eliminate the parenthesis.

4x (x + 10) + 55 = 180

4x(x) + 4x(10) + 55 = 180

4x² + 40x + 55 = 180

4x² + 40x + 55 - 180 = 0

4x² + 40x - 125 = 0

Now, we use the quadratic formula to solve the quadratic equation.

x = (-b±√(b² - 4ac)) / (2a)

From 4x² + 40x - 125 = 0

a = 4b = 40 c = -125

Plug these into the formula and solve for x.

x = (-b±√(b² - 4ac)) / (2a)

x = ( -40 ± √( (40)² - ( 4 × 4 × -125))) / ( 2 × 4 )

x = ( -40 ± √( 1600 - ( -2000) )) / ( 8 )

x = ( -40 ± √( 1600 + 2000 )) / ( 8 )

x = ( -40 ± √( 3600 )) / ( 8 )

x = ( -40 ± 60) / ( 8 )

x = ( -40 - 60) / ( 8 ), ( -40 + 60) / ( 8 )

x = ( -100 )/( 8 ), ( 20 )/( 8 )

x = -25/2, 5/2

Therefore, the solution to the quadratic equation is x = -25/2, 5/2.

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(1,y) and (x,−3).

6x+3y=15

Answers

The values of x and y are 4 and 3 respectively, this forms an ordered pair of (1,3) and (4,-3).

What are the the values of x and y?

Given the equation and ordered pair the question;

6x + 3y = 15Point: ( 1,y)Point; (x,−3).

To determine, the y-value, plug the x-value into the equation and solve for y.

6x + 3y = 15

Plug in x = 1

6(1) + 3y = 15

6 + 3y = 15

3y = 15 - 6

3y = 9

y = 9/3

y = 3

To determine, the x-value, plug the y-value into the equation and solve for x.

6x + 3y = 15

Plug in y = -3

6x + 3( -3 ) = 15

6x - 9 = 15

6x = 15 + 9

6x = 24

x = 24/6

x = 4

Therefore, the ordered pair are (1,3) and (4,−3).

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Hi can someone please help me? Thank you!

Answers

103mm is the correct answer

If you double a number and then add 16 you will get 2/5of the original number. What is the original​ number?

Answers

Step-by-step explanation:

x = the original number

2x + 16 = 2/5 x

multiply both sides by 5 to get rid of the fraction :

10x + 80 = 2x

divide both sides by 2 :

5x + 40 = x

subtract x from both sides :

4x + 40 = 0

divide everything by 4 :

x + 10 = 0

subtract 10 from both sides :

x = -10

Answer : x = -10

Step-by-step explanation :

x = original number

2x + 16 = 2/5x

Change 2/5 to decimal

2x + 16 = 0,4x

Change the position of 16 and 0,4x

2x - 0,4x = -1

Subtract 2 by 0,4

1,6x = -16

Divide -16 by 1,6

x = -10

You can use this way or the other one but this way is faster than the others

Hope it helps !

2. Solve the application problem.

Find the area of a mirror that measures 2 yards by 7/8 yard.

A. 1 3/4 yd^2
B. 5 3/4 yd
C. 1 3/4 yd
D. 5 3/4 yd^2​

Answers

Answer:

Area =  l × w

=  2 × 0.875

=  1 3/4 yd^2 or 1.75 yd^2

hope i helped

Step-by-step explanation:

Write an inequality that represents the graph

Answers

The line represents that x is anywhere from negative infinity to 1:

x < 1

Answer: x<1

Step-by-step explanation:

X is less than one on the graph because everything on the darker line is the solution.

Ex:

-1<1

How can the narrator's parents be described in chapters 1-4 of Frankenstein?
A. Poor farmers
B. Distinguished counsellors
C. Military officers
D. Migrant workers

Answers

Answer: B)

Step-by-step explanation:

How can you determine if an inverse is a function?

Answers

If there is any place on the graph of the original function where a horizontal line would cross two more more times, then the inverse of that function will not itself be a function. If all horizontal lines cross at most one spot on the original graph, then the inverse will be a function, too.

Name the Inequalities

Answers

1)greater than 2)less than 3) less than or equal 4)greater than of equal

Helppp pls …………………….

Answers

Answer = B
not sure though

Answer:

B

Step-by-step explanation:

the two angles lies on the same lines and they have the same vertex

(x^2+4)/(x^3+x^2+4x+4)=

Answers

The solution is 1/(x+1)

From the question, we have

(x^2+4)/(x^3+x^2+4x+4)

=(x^2+4)/(x^2 (x^3/x^2 +x^2/x^2 )+2^2 ((2^2⋅x)/2^2 +2^2/2^2 ) )

=(x^2+4)/(x^2 (x^(3-2)+1)+2^2 (x+1))

=(x^2+4)/(x^2 (x+1)+2^2 (x+1))

=(x^2+4)/((x+1)((x^2 (x+1))/(x+1)+(2^2 (x+1))/(x+1)) )

=(x^2+4)/((x+1)(x^2+2^2 ) )

=(x^2+4)/((x+1)(x^2+4) )

=1/(x+1)

The solution is 1/(x+1)

Divide:

Split is to divide into two or more equal sections, places, groupings, or divisions in its most basic form. To divide something simply means to provide it to a group in equal quantities or to cut it up into equal pieces. Let's imagine a diagonal divides a square into two triangles with equal areas. An integer may or may not be the result of a division operation. Sometimes the result will be expressed as decimal numbers.

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The height of a building is proportional to the number of floors The figure shows the height of a building with 9 floors
a. Reasoning write the ratio of height of the building to the number of floors. Then find the unit rate, and explain what it means in this
b. How tall would the building be if it had 15 floors​
THIS IS FOR MIDDLE SCHOOL 7TH GRADE

Answers

Answer: B

Step-by-step explanation:

it has to do with simallar mathematics of 12th grade so you can do the sum

its pretty ez cuz im a 12th grader

::;;;::;Answer IS B

Fill in the gaps in the equation below by
completing the square.
x² - 6x-1=(x −
|) ² − |

Answers

Answer:

  (x -3)² -10

Step-by-step explanation:

You want the vertex form of x² -6x -1, found by completing the square.

Completing the square

The square of a binomial is ...

  (x -a)² = x² -2ax +a²

The constant in this perfect square trinomial is the square of half the coefficient of the linear term: a² = (-2a/2)²

Application

To complete the square for the given quadratic, the perfect square trinomial must have a constant of (-6/2)² = 9. We can add and subtract 9 to rearrange the quadratic to the desired form.

  x² -6x -1

  = (x² -6x +9) -1 -9 . . . . . . . +9 -9 was added

  = (x -3)² -10

Select the correct answer.
Given: ZNMY
ZPOB
Prove: ZXMN ZAOP
kk
M
ZXMY and ZAOB are right angles because that information is given. This means that ZXMN is complementary to ZNMY and
ZAOP is complementary to ZPOB by the linear pair theorem. Since ZNMY ZPOB, by the congruent complements theorem.
ZXMN ZAOP.
Where is the error in the proof? Select all that apply.
O The given cannot be used to state that ZAOB is a right angle.
The linear pair theorem cannot be used to state ZXMN is complementary to ZNMY.
The linear pair theorem cannot be used to state ZAOP is complementary to ZPOB.
The congruent complements theorem cannot be used to state that ZXMN
ZAOP.
The given cannot be used to state that ZXMY is a right angle.

Answers

The linear pair theorem cannot be used to state ZAOP is complementary to ZPOB.

What is complementary angles?

Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees.

A good that adds value to another good or service is said to be complimentary. To put it another way, they are two items that the client uses in tandem with one another. For instance, cereal and milk or a DVD and a DVD player.

Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right angled triangle are complimentary. We say two angles "Complement" one other when their sums equal 90 degrees. because a complete angle is what is considered to be the right angle.

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What is the y-intercept of the function f(x) = 2 ^x?
A.27
B.2
C. 6
D. 1

Answers

Answer:

D

Step-by-step explanation:

the y- intercept is the value of y on the y- axis where the function crosses.

the function crosses the y - axis when x = 0

substitute x = 0 into f(x)

f(0) = [tex]2^{0}[/tex] = 1

y- intercept is 1

Which of the following is a Rational Number? √11 √14 √77 15​

Answers

Answer:

1/2

Step-by-step explanation:

helpppp!!
A certain number of quarters, five times as many pennies as quarters and 12 more
dimes than quarters are worth $8.00. How many of each coin are there?

Answers

Answer:

Step-by-step explanation:

i think the answer is 10 or 5

30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now

Answers

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

How to determine how old they are now?

From the question, we have the following statements that can be used in our computation:

30 years ago

Zoe was 2/3 as old as Luke

18 years ago

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

30 years ago

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

18 years ago

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.5 for a random sample of 1190 people. Assume the population standard deviation is known to be $11. Construct the 85% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.

Answers

At an 85% confidence interval, the mean per capita income in thousands of dollars for the major city in Texas is $20.5 ± 0.459.

What is the confidence interval estimate?

The confidence interval estimates the mean estimate by adding or subtracting the margin of error.

In random sampling, the margin of error represents the difference between the actual and projected results.

Mean income = $20.5

Sample size, n = 1,190

Standard deviation = $11

Confidence interval = 85%

Z-score for 85% confidence interval = 1.440

The margin of error = z-score x standard deviation/√n

= 1.440 x 11/√1,190

= 1.440 x 11/34.50

= 1.440 x 0.3188

= 0.459

= $459 (0.459 x $1,000)

Lower Limit = Mean - Margin of Error

= $20,500 - $459

= $20,041

= $20.041

Upper Limit = Mean + Margin of Error

= $20,500 + $459

= $20,959

= $20.959

Thus, for the Texas city, the mean per capita income is $20.5 ± 0.459.

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HELP!!WILL MARK BRAINILIEST!!

Which graph shows a proportional relationship between x and y?

Answers

Graph C appears to show a proportional relationship between x and y. Because it is a straight line across the origin.

What is a proportional relationship?

Relationships between two variables where their ratios are equal are known as proportional relationships. The fact that one variable is always a constant value multiplied by the other in a proportionate connection is another way to conceive of them.

A line graph is a particular sort of graph in which the connecting segments of straight lines represent the data points. A straight line is made up of many points connected at each end.

A straight line with a beginning point of represents a proportionate relationship on a graph (0, 0). By computing a second point and then connecting the two with a straight line, the graph is produced.

As a result, graph C seems to indicate that x and y are proportionate. due to the fact that it crosses the origin directly.

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(3^3*6^6)^-3
what is a simplified version of this

Answers

3 times 3 times 3 plus 6 times 6 times 6 times divided by 3 divided by 3 divided by 3. I think that is correct so sorry if it’s wrong.

The simplified value of the above expression is 5.00248967e-19

we know,'^' this symbol means by times

[tex]3^{3}[/tex] =27

[tex]6^{6}[/tex] =46,656

27 multiplied by 46,656

[tex]27 \times 46,656 = 1,259,712[/tex]

[tex]1,259,712 ^{-3} = 5.00248967e-19[/tex]

if you want you can apply the BODMAS  system here.

it is just a fraction try to simplify it.

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Are the figures congruent?

Answers

Yes these triangles are congruent.

What is congruent triangles?

Two triangles live aforesaid to be congruent if all 3 corresponding sides are equal and every one the 3 corresponding angles are equal in measure. These triangles may be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with one another. The image of congruousness is’ ’.

Main body:

Firstly we need to find the co-ordinates of each point.

M = (-1,5)                               R= (1,1)

L = (-2,2)                               S= (-5,-1)

N= (5,3)                                Q= (2,-2)

to prove these triangles are congruent we need to show that the distance of their sides are equal.

distance formula= [tex]\sqrt{(x1-x2)^2+(y1- y2)^{2}[/tex]

Now in ΔLMN =

ML = [tex]\sqrt{(-1+2)^{2}+(5-2)^{2} }[/tex]

ML= [tex]\sqrt{10}[/tex] units

LN =[tex]\sqrt{(5+2)^{2}+(3-2)^{2} }[/tex]

LN= [tex]\sqrt{50}[/tex] units

MN =[tex]\sqrt{(5+1)^{2}+(3-5)^{2} }[/tex]

MN=[tex]\sqrt{40}[/tex] units

Now in ΔQRS=

RS= [tex]\sqrt{(1+5)^{2}+(1+1)^{2} }[/tex]

RS = [tex]\sqrt{40}[/tex] units

SQ = [tex]\sqrt{(2+5)^{2}+(1-2)^{2} }[/tex]

SQ = [tex]\sqrt{50}[/tex] units

RQ = [tex]\sqrt{(1-2)^{2}+(1+2)^{2} }[/tex]

RQ = [tex]\sqrt{10}[/tex] units.

We can clearly see on side of each triangle is equal to one side of another one.

Hence ΔLMN≅ΔQRS.

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18. How does the
product change when one of the factors in
a multiplication problem is doubled? Give
two examples to support your conclusion.

Answers

The product doubles when one of the factors in a multiplication problem is doubled

What is a product?

A product in mathematics is the result of multiplication, or an expression that identifies the objects to be multiplied, known as factors. For instance, 30 is the sum of 6 and 5.

In mathematics, multiplying means adding equal groups. The number of things in the group grows as we multiply. A multiplication problem includes the two factors and the product.

For example, 2 × 3 = 6. When 2 is doubled, it becomes 4 and the product will be:

= 4 × 3 = 12

Therefore, the product doubles too.

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Select all the equations that have {4} as its solution set.
Responses

79−3x=12x+19

7−x=12x


x2+3=10x−21


5 + 2x = 3x + 3

SELECT ALL, THIS IS MULTIPLE CHOICE.

Answers

12345 :) i’m not sure i understand this question

Answers:

A. 79 − 3x = 12x + 19

B. 7 − x = 12/x

C. x^2 + 3 = 10x − 21

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It buys x HD headphones at z dollars each, and y basic headphones at w dollars each.In a-c, write an equation whose solution is the given quantity. Solve Each Equation and set them up.a) The number of basic headphones the store can purchase if it spends a total of $10,000 on headphones and buys 110 HD headphones for $70 each.b)The price the store pays for HD headphones if it spends a total of $2,000 on headphones and buys 55 basic headphones for $20 each.c) The price the store pays for HD headphones if it spends a total of $800 on headphones and buys eight basic headphones for $80 each.d) Please give me the actual cost of the headphones and an explanation with a-c How do I factor 250n2 + 20n8? In this excerpt, mrs. fairfax greets jane, who has just arrived at thornfield. "how do you do, my dear? i am afraid you have had a tedious ride; john drives so slowly; you must be cold, come to the fire." "mrs. fairfax, i suppose?" said i. "yes, you are right: do sit down." she conducted me to her own chair, and then began to remove my shawl and untie my bonnet-strings; i begged she would not give herself so much trouble. "oh, it is no trouble; i dare say your own hands are almost numbed with cold. leah, make a little hot negus and cut a sandwich or two: here are the keys of the storeroom." . . . . "she treats me like a visitor," thought i. "i little expected such a reception; i anticipated only coldness and stiffness: this is not like what i have heard of the treatment of governesses; but i must not exult too soon." "jane eyre, charlotte bront how does jane feel about the way mrs. fairfax treats her? jane is excited and concerned by the unexpected conversation. jane is unsettled by the attentive nature of mrs. fairfax. jane is enthused by the idea of a friendship with mrs. fairfax. jane is surprised by the friendliness of the encounter. Which values of aand b make the following equation true?(5xy){-4xy) =20xyOa = 11, b = 7O a = 11, b = 10O a=28, b = 7O a= 28, b = 10 which conflict conclusion occurs when one person gets his or her way by causing others to accommodate? each of ncustomers gives a hat to a hat-check person at a restaurant. the hat-check person gives the hats back to the customers in a random order. what is the expected number of customers that get back their own hat? derive your answer by using random variables and expected values of random variables. Keiko tracks the change in outsideone afternoon. She recordstemperaturea temperature of 85.4F at noon. Thetemperature rises 3.85F over thenext 4 hours. At 5:00 PM, Keiko recordsa temperature of 89.25F. How does thetemperature change between 4:00 PMand 5:00 PM? help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! as ava listens to her favorite pop song on the radio, her auditory receptors receive and produce electrical changes in response to both the loudness of the music and the different notes that are being played. this electrical preservation of both the quantity and quality of the stimulus is referred to as . a. sensory coding b. adaptation c. transduction d. psychophysics Expand using Pascal's triangle: (x + 1)4. 1.25x10^-3/1.25x10^3 The Bill of Rights:OA. established a limited federal government.B. prevented the government from violating a person's rights.C. created a national military to protect the United States.D, allowed for trade with foreign governments. Explain how it is possible to determine whether the graphs of 5x3y=2 and 5x-3y=8 are parallel without doing any calculations in a partially amortized loan with a balloon payment; when the balloon becomes due: what is the usual course of action?