Given the coordinate, perform the following transformation and give the new coordinates.
12. Reflect (2, 3) over the x axis: (
13. Reflect (7, -2) over the y axis: (
14. Rotate (4, 5) 90° about the origin: (
15. Rotate (-3, -2) 270° about the origin:
16. Reflect (17, -23) over the line y=x.

Answers

Answer 1

The reflection of the point (2,3) over the x-axis is (2,-3). The reflection of the point (7,-2) over the y-axis is (-7,-2).

What is a reflection?  

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

The reflection of the point (2,3) over the x-axis is calculated as,

(2,3) ⇒  (2,-3)

The reflection of the point (7,-2) over the y-axis is calculated as,

(7,-2) ⇒ (-7,-2)

Therefore, the reflection of the point (2,3) over the x-axis is (2,-3). The reflection of the point (7,-2) over the y-axis is (-7,-2).

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Related Questions

The function y = 2.5x - 1.5, represents the cost, y, of all tickets sold, x. What is true about the function?
A. The function is linear because it will yield only one output for each input.
B. The function is linear because it yields multiple outputs for each input.
C. The function is non-linear because it does not have a constant rate of change.
D. The function is non-linear because it has a constant rate of change.

Answers

Answer:

A

Step-by-step explanation:

y = 2.5x - 1.5

x          y

2          3.5

3          6

4          8.5

5          11    

The function is linear for one thing, because it does have a constant rate of change.

6 - 3.5 = 2.5

11 - 8.5 = 2.5

D is incorrect. because it is linear.

C is incorrect because it does have a constant rate of change.

B is wrong because any 1 input gives only one output

A is your answer.

if there are 5 boys and 7 girls, write the ratio of girls to total students

Answers

Answer:

7:12

Step-by-step explanation:

boys=5

girls=7

total=boys+girls

12=5+7

girls:total

7:12

What is the volume of the rock? Note 1ml = 1 cm3

What is the volume of the rock? Note 1ml = 1 cm3

Answers

Answer: c 5 cm

Step-by-step explanation: 40 - 35 is 5 cm

The volume of the rock will be 10 cm³.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The initial volume = 20 ml

And, The final volume = 30 ml

Now,

Since, The initial volume = 20 ml

And, The final volume = 30 ml

Hence, The volume of rock = 30 ml - 20 ml

                                          = 10 ml

Here, 1 ml = 1 cm³

Thus,  The volume of rock = 10 cm³.

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Before Valentine's Day, a store bought 58 boxes of chocolates. There were 65 chocolates in each box. How many chocolates did the store buy? chocolates

Answers

Answer:

The equation would be:

58 times 65

The answer:

3,770

Step-by-step explanation:

50 POINTS!! Select the correct answer.
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that
the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location.
By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?
OA. $257.82 and $272.18
OB.
$254.23 and $275.77
Ос.
$261.41 and $268.59
OD.
$264.37 and $265.63

50 POINTS!! Select the correct answer.A researcher for a travel company is looking into the prices people

Answers

Answer:

its A :)

Step-by-step explanation:

trust me i just took the test on plato

By the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

What does the central limit theorem postulate?

The central limit theorem (CLT) postulates that the distribution of sample means approximates a normal distribution with larger sample sizes, disregarding the population's distribution.


This implies that sample sizes equal to or greater than 30 are often considered sufficient for the CLT to hold.

Data:

Population mean = $265

Standard deviation = $40.93

Sample size = 130

Confidence level = 95%

Thus, by the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

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What is the area of a circle with a diameter of 37 inches?
in²
(Use 3.14 for Pi.)

Answers

Answer:

1073.45 in²

Step-by-step explanation:

What is the area?

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

What is the diameter?

Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.

The equation to solve for the area of a circle is:

π × \(r^{2}\) = Area of a circle

But wait, we don't have a radius to fix in the equation! Well to solve for the radius when given diameter, we can use the expression:

diameter ÷ 2 = radius

Now that we know this, we can insert 37 in for the diameter:

37 ÷ 2 = 18.5

So, the radius of the circle is 18.5 inches.

Inserting 18.5 into the expression for the radius:

π × \(18.5^{2}\) =

Using 3.14 for pi:

3.14 × \(18.5^{2}\) = 1073.45 in²

Therefore, the area of a circle with a diameter of 37 inches is 1073.45 in².

Given the equation negative 26 equals y over 13, solve for y.

−2
2
−338
388

pls help I exam!

Answers

Answer:

y = -338

Step-by-step explanation:

\(-26 = \dfrac{y}{13}\)

Multiply by 13 on both sides.

\(-26 \cdot 13 = y\)

\(-338 = y\)

y = -338

Answer:

-338

Step-by-step explanation:

-26=y/13

cross multiplying

y=-26×13

y=-338

Superior Segway Tours gives sightseeing tours around Chicago, Illinois. It charges a one-time fee of $40, plus $35 per hour. What is the slope of this situation?

80
65
40
35

Answers

Answer:

d. 35

Step-by-step explanation:

y = 35x + 40

The slope is 35 as 'm' is the slope of the equation

LMK IF IT WAS RIGHT!!

Answer:

D (35)

Step-by-step explanation:

Landscaping A landscape company charges $55 per hour for the work of a designer, $40 per hour for the work of a foreman, and $25 per hour for the work of a laborer. A particular installation required 6 hours of design work, 11 hours from the foreman, and 33 hours of labor. Write out a mathematical statement for calculating the total labor cost and then compute this cost.

Answers

Answer:

Equation: 55D+40F+25L

Solution:$1595

Step-by-step explanation:

Equation: 55D+40F+25L

                55(6)+40(11)+25(33)

                330+440+825

Solution: $1595

Ray is constructing a flower bed

Ray is constructing a flower bed

Answers

Answer:

41 feet

Step-by-step explanation:

12 +12 + \(\sqrt{144+144}\)

Answer:

Perfilar. Comienza por delimitar la forma y dimensión del macizo. ...

Cavar y abonar. ...

Enmarcar y rastrillar. ...

Distribuir y plantar.

Step-by-step explanation:

Country A has an exponential growth rate of ​4.3% per year. The population is currently ​4,079,000, and the land area of Country A is ​19,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

Answers

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

How many years would it take for there to be one person for every square yard?

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

FV = future populationPV = present populationr = rate of growth

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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what is it step by step 7a - 4a when a = 8

Answers

Answer:

Step-by-step explanation:

7a - 4a

a = 8

so

7(8) - 4(8)

56 - 32 = 23

FINALLY! Someone asks for a step-by-step! TYSM!

Since a=8, we ae going to replace the a variables with 8.

7(8)-4(8)

7x8=56

4x8=32.

Now we subtract.

56-32=24.

---

hope it helps

Hank made payments of ​$219 per month at the end of each month for 30 years to purchase a piece of property. He promptly sold it for ​$195,258. What interest​ rate, compounded​ monthly, would he need to earn on an ordinary annuity for a comparable rate of​ return?

Answers

To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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Hello

10 × 10 - 100​

Answers

Answer:

it's answer is ... oviously ..

0 ..

Which of the following is a true statement of the figure?

An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:



A
D
D
C
=
D
C
C
B



A
C
A
B
=
D
B
D
C



A
D
D
C
=
A
B
C
B



B
C
B
A
=
D
C
C
B

Answers

Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.

What is an angle bisector?

An angle bisector is the line segment that bisects the angle into two equal halves.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,

Ray BE is a bisector of angle CBA,

∠CBE = ∠EBA = 60°

∠EBD = ∠EBA - ∠DBA

∠EBD = 60 - 30 = 30

So,

∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]

Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Which of the following statements is true if ray BE is a bisector of angle CBA?

A. Ray BD is a bisector of angle CBA.

B. ∠EBD is congruent to ∠CBE.

C. Ray BE is a bisector of angle ABE.

D. ∠EBD is congruent to ∠DBA.

Which of the following is a true statement of the figure?An image of a triangle ABC. The angle bisector

mr. emmer gave a test in his chemistry class. the scores were normally distributed with a mean of 82 and a standard deviation of 4. what percent of students would you expect to score between 78 and 36?

Answers

\(P(36\le X\le78)=P(\frac{X1-\mu}{\sigma}\le Z\le\frac{X2-\mu}{\sigma})\)

Where:

\(\begin{gathered} X1=36 \\ X2=78 \\ \mu=82 \\ \sigma=4 \end{gathered}\)

So:

\(\begin{gathered} P(36\le X\le78)=P(\frac{78-82}{4}\le Z\le\frac{86-82}{4}) \\ P(36\le X\le78)=P(-1\le Z\le1) \\ P(36\le X\le78)=0.6827\approx0.68 \end{gathered}\)

As a percentage: 68%

For #81-84, fill in the missing dimensions from the given expression. Then rewrite the
expression as a product.
2x+24
(81.)
(82.)
2x
(83.)
84. Expression as a product
Choices for 81-84:
A) 2
E) 12
AE) 2x
CD) 4x(x+4)
24
B) 4
AB) 14
BC) 4x
CE) 2(2x+9)
C) 6
AC) 16
BD) 4(x+6)
DE) 2(x+12)
D) 9
AD)
x
BE) 2(2x+16)
ABC) 4x(x+14)

For #81-84, fill in the missing dimensions from the given expression. Then rewrite theexpression as a

Answers

The missing dimensions from the given expression should be completed with the following:

(81.) A) 2

(82.) AD) x

(83.) E) 12

The expression as a product should be written as: DE) 2(x + 12).

What is a factored form?

In Mathematics and Geometry, a factored form can be defined as a type of quadratic expression that is typically written as the product of two (2) linear factors and a constant.

In this scenario and exercise, we would complete the table above by showing the factored form and expanded form of each of the given expressions as follows;

        x           12

2      2x         24

Note: 2x/2 = x.

         24/2 = 12.

(2x + 24) = 2(x + 12).

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1 2 3 4 5 6 7 8 9 10
What are the slope and the y-intercept of the linear function that is represented by the table?

x
y
–1
Negative three-halves
Negative one-half
0
0
Three-halves
One-half
3
The slope is –3, and the y-intercept is Negative one-half.
The slope is –3, and the y-intercept is Three-halves.
The slope is 3, and the y-intercept is Negative one-half.
The slope is 3, and the y-intercept is Three-halves.

Answers

I don’t know but I’m learning negative numbers maybe -3

In circle O, secants ADB and AEC are drawn from external point A
such that points D, B, E, and C are on circle O. If AD = 8, AE = 6,
and EC is 12 more than BD, the length of BD is
(1) 6
(2) 22
(3) 36
(4) 48

Answers

The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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In circle O, secants ADB and AEC are drawn from external point Asuch that points D, B, E, and C are on

The graph of a linear function is shown on the grid. What is the rate of change of y with respect to x for this function? Please hurry it’s urgent Thank you

The graph of a linear function is shown on the grid. What is the rate of change of y with respect to

Answers

Answer:

\( -0.2 \)

Step-by-step explanation:

Given:

(-3, 3.6);

(5, 2)

Required:

Rate of change

SOLUTION:

Rate of change for the function is given as \( \frac{y_2 - y_1}{x_2 - x_1} \).

Let,

\( (-3, 3.6) = (x_1, y_1) \)

\( (5, 2) = (x_2, y_2) \)

Rate of change = \( \frac{2 - 3.6}{5 - (-3)} \)

\( = \frac{-1.6}{8} \)

\( = -0.2 \)

The rate of change of y with respect to x for this function is -0.2

Given :

The graph of a linear function is shown on the grid

To find the rate of change of y with respect to x , we need to pick two points from the graph

Two points are (-3,3.6)  and (5,2)

Lets apply slope formula to find out rate of change

\(slope =\frac{y_2-y_1}{x_2-x_1}\\slope =\frac{2-3.6}{5+3} \\slope = -0.2\)

The rate of change of y with respect to x for this function is -0.2

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Write the expression in simplest form.
(-+ 3) - 2 (-x) =

Answers

Answer:

Simplest form of expression:

-3+2x

Answer:

2x - 3 (or) -3 + 2x

Step-by-step explanation:

Given equation,

→ (-+ 3) - 2 (-x)

The simplest form will be,

→ (-+ 3) - 2 (-x)

→ -3 + (-2 × -x)

→ -3 + 2x

→ 2x - 3

Thus, the answer is 2x - 3.

y x1 x2
10 1 16
11 5 11
15 5 14
15 9 11
20 7 1
23 11 8
27 16 7
32 21 3

a. Using technology, construct a multiple regression model with the given data.
b. Interpret the meaning of the values for b1 and b2.

Answers

Answer:

ŷ = 0.964X1 - 0.336X2 + 13.066

b1 = 0.964 which is the unit change in the value of y when x1 changes.

b2 = - 0.336 which is the unit change in the value of y when x2 changes

Step-by-step explanation:

Y

10

11

15

15

20

23

27

32

X1

1

5

5

9

7

11

16

21

X2

16

11

14

11

1

8

7

3

The general form of a multiple regression equation is in form:

ŷ = b1x1 + b2x2 + c

Where,

ŷ = predicted or dependent variable

b1 and b2 = slope or gradient Coefficient for the independent or predictor variables x1 and X2 respectively.

c = intercept (constant)

Using the online multiple regression calculator, the model obtained by Inputting the values is written below:

ŷ = 0.964X1 - 0.336X2 + 13.066

Value of b1 = 0.964 which is the unit change in the value of y when x1 changes.

Value b2 = - 0.336 which is the unit change in the value of y when x2 changes

Answers please I need it done ASAP

Answers please I need it done ASAP

Answers

Answer:

1) 11^42. [. ( a^b)^c is a^bc]

2) 5^5. [a^b/a^c= a^(b-c)

3) 14^24

4) 3^10

please help will mark BRAINLIEST ​

please help will mark BRAINLIEST

Answers

The sides of the right triangle are:

a) AC

b) CB

c)  AB

How to interpret the right triangle?

We have the diagram of a right triangle, and we want to identify the side that is opposite to angle B.

That would be the side that does not intercept the vertex B, so it is AC.

Then we want to get the adjacent side to B that is not the hypotenuse.

That would be the side that intercepts vertex B and intercepts the vertex with the small red square, it is CB.

Finally, the vertex is the side opposite to the small red square (90° angle) so it is AB.

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pls give simple working out

pls give simple working out

Answers

x is 146 degrees

This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees

180 - 34 = 146

Answer: x = 146°

Step-by-step explanation:

Given that y = 35°, Using linear pair

x+y = 180

x+35=180(Substitute value of y)
x=180-35(Transposition Method)

x=145°

Which is the
4
graph of f(x) = 4[*?
-3-2--1₁-
-2-
2 3 4 5 6
4
1
1-2--11-
-2
2 3
56
4
2-11.
-2-
23
56

Which is the4graph of f(x) = 4[*?-3-2--1--2-2 3 4 5 6411-2--11--22 35642-11.-2-2356

Answers

Option 2 is the correct graph for the function f(x) = \(4[(1/2)^{x}]\) .

Given ,

f(x) = \(4[(1/2)^{x}]\)

Mathematically the graph will of exponential in nature.

So,

Let us assume few values to understand the nature of graph.

Firstly,

Let x= 1

f(x) = \(4[(1/2)^{1}]\)

f(x) = 2

Let x = 2

f(x) = \(4[(1/2)^{2}]\)

f(x) = 1

Let x = 3

f(x) = \(4[(1/2)^{3}]\)

f(x) = 0.5

Thus from these values of f(x) corresponding to the values of x second graph will be correct .

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4. Error Analysis Felipe states that every
relation is a function, but not every function
is a relation. Explain Felipe's error.

Answers

Answer:

Every function is a relation but not every relation is a function.

Step-by-step explanation:

A function is only that relation in which each input or the relation has exactly one output.

Solve the quadratic equation by completing the square: x^2 + 16x +51 = 0

Answers

Answer:

x = ±√13 - 8

Step-by-step explanation:

Move the constant term to the right side of the equation.

x² + 16x + 51 = 0

x² + 16x = -51

We complete the square by taking half of the coefficient, squaring it, and adding it to both sides of the equation. The formula is (b/2)².

x² + 16x = -51

here the formula would be (16/2)² = 64

x² + 16x + 64 = -51 + 64

Now just simplify by factoring the left side and adding up the right side.

(x + 8)² = 13

You have to isolate x to find what it equals. Here start by taking the square root of both sides

x + 8 = √13

Subtract 8 to both sides

x = ±√13 - 8

If a cube has volume 125cm³, find the height of the cube.​

Answers

Answer:

height = 5 cm

Step-by-step explanation:

a cube has congruent sides (s)

the volume (V) of a cube is calculated as

V = s³

given V = 125 , then

s³ = 125 ( take cube root of both sides )

\(\sqrt[3]{s^3}\) = \(\sqrt[3]{125}\) = \(\sqrt[3]{5^3}\)

s = 5

then height = 5 cm

Find the center and radius of the circle. Show all work

x^2 + 2x + y^2 + 4y = 20

Standard Form:
(x + 1)^2 + (y + 2)^2 = 25

Answers

Answer:

centre (-1,-2) and radius=5

Find the center and radius of the circle. Show all workx^2 + 2x + y^2 + 4y = 20Standard Form:(x + 1)^2

The center is (-1, -2) and the radius of the circle is 5.

What is the equation of a circle?

The circle equation formula refers to the equation of a circle which represents the center-radius form of the circle.

A circle can be represented as;

\(\rm (x-h)^2+(y-k)^2=r^2\)

Where; h and k are the center of the circle r is the radius of the circle.

The given equation of the circle is;

\(\rm (x+1)^2+(y+2)^2=25\)

Comparing both the equations;

\(\rm (x+1)^2+(y+2)^2=25\\\\\rm (x+1)^2+(y+2)^2=5^2\\\\h = -1\\\\k = -2\\\\r^2=5^2\\\\r=5\)

Hence, the center is (-1, -2) and the radius of the circle is 5.

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Other Questions
n 2005, bankruptcy reform laws: made student loans dischargeable in bankruptcy. increased the amount of possessions a debtor may retain in bankruptcy. allowed debtors to have more of their debts discharged in bankruptcy. required debtors to pay more of their debts in bankruptcy. during a warm summer day, a car became extremely hot. when a student went to open the car door, he burned his fingers. what two forms of energy were responsible for the student burning his fingers? Consider what you know about the sampling distribution of the sample proportion. This sampling distribution will? a. become more variable as the sample size increases. b. will be Normal in shape only if the sample size is at least 100. c. will have a center equal to the population proportion, or pd. has a shape that is skewed to the right, regardless of sample size. e. is a collection of the parameters of all possible samples of a particular size taken from a particular population what part of the neuron combines or adds up or aggregates information coming into the cell? a box contains 46 red marbles, 58 white marbles, and 51 blue marbles. if a marble is randomly selected from the box, what is the probability that it is white or blue? why were steamboats a crucial innovation as the united states expanded westward in the early 19th century? the great rift valley in africa and the mid-ocean ridge were all created by this boundary what are the three field forces where distance is a factor in the strength of the force? 10. nordex corporation is in the business of manufacturing furniture. because the industry has matured, nordex is considering adding a new product line, manufacturing plastic products such as cases for compact discs (cds). no director will have a personal interest in the decision to expand into those lines. to avoid liability for making a poor decision, what standard of conduct should nordex's board of directors comply with? A 4. 0 kg object i puhed to the right on a rough urface by a horizontal force of 15 N. During the puh, the object accelerate uniformly to the right at 2. 50 m/2. What mut be the magnitude of the force of friction alo acting on the object during the puh? When scientists proposed the theory of continental drift, there were many skeptics. which discovery confirmed that the continents move on plates? the measure of location which is the most likely to be influenced by extreme values in the data set is the question 2 which one of the following statements is true regarding the ability to scale cloud computing resources up and down? passive transport is the movement of molecules across the cell membrane without requiring an input of cellular energy. identify which of these options are examples of passive transport. select two correct answers. An atronomer oberve that a tar light year away move through an angle of in one year. Auming it move in a traight line perpendicular to the initial line of obervation, how many mile doe the tar move? which of the below are human sources of nitrogen into natural ecosystems? group of answer choices fertilizers from agriculture fertilizers from urban lawns septic tanks urban wastewater domesticated animal waste forest fires cement production OH ArSO3H + H20 Dihydropyran is synthesized by treating tetrahydrofurfuryl alcohol with an arenesulfonic acid, Ar50;H. Draw curved arrows to show the movement of electrons in this step of the reaction mechanism. Arrow pushing Instructions OH OH OH why might you observe fewer completely wild-type, and fewer raisin, hairy, curled offspring than you would expect based on the estimated map distances between loci? the _____ you receive from your parents can affect your health and wellness by putting you at risk for developing certain diseases, such as heart disease. the area in a composition to which the eye returns most naturally is the _______.