Can someone help pls it’s due in about 2 hour

Can Someone Help Pls Its Due In About 2 Hour

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

A

The hypotenuse is ALWAYS the longest side of a right triangle, and located Directly Across from the Right Angle: c = √79

Pythagorean Theorem:  a² + b² = c²

a = 2√5

b = ?

c = √79

(2√5)² + b² = (√79)²

20 + b² = 79

b² = 59

√b² = √59

b = √59 = KJ

B

tan=opposite side / adjacent side

From I, KJ is opposite;  and IK is adjacent

tan(I) = √59/(2√5) ≈ 1.72

C

cos=adjacent side / hypotenuse

From J, KJ is adjacent;  and IJ is the hypotenuse

cos(J) = √59/√79 ≈ 0.86


Related Questions

Solve the equation without using a calculator

[tex]\bf\\x^{x^2-2x+1}=2x+1[/tex]

Answers

The value of the variable x in the equation xˣ²⁻²ˣ⁺¹ = 2x + 1 is  1 + √2

Exponential Equations

An equation is a mathematical statement that shows that two mathematical expressions are equal.

An equation combines two expressions connected by an equal sign. These two expressions on either side of the equals sign are called the “left-hand side” and “right-hand side” of the equation. We generally assume the right-hand side of an equation is zero.

Basically, an equation is a statement that equate or says two expressions are equal to one another.

The problem given may be assumed as an exponential equation

xˣ²⁻²ˣ⁺¹ = 2x + 1

Solving for x by isolating the variable;

x = 1 + √2

Learn more on equations here;

https://brainly.com/question/13729904

#SPJ1

Answer:

  x = 1 ±√2

Step-by-step explanation:

You want to solve the exponential equation ...

  x^(x² -2x +1) = 2x +1

without using a calculator.

Guess

There are no algebraic methods for solving such an equation.

We can solve quadratic equations, so we can guess that the exponent of x is 2:

  x² -2x +1 = 2

  x² -2x -1 = 0

Using 2 as an exponent, the given equation becomes ...

  x² = 2x +1 . . . . . . . exponent on the left is 2

  x² -2x -1 = 0

That is, the exponent being 2 is consistent with the requirements on x.

Quadratic

The solution to the quadratic can be found using the quadratic formula:

  x² -2x -1 = 0

  x = (-(-2) ±√((-2)² -4(1)(-1))/(2(1)) = (2±2√2)/2

  x = 1±√2

Either of these values will make the exponent of x be 2, so both are solutions to the equation. The negative solution is not found by the graphing calculator (attached).

What is the r2 value for the following data to three decimal places?
0.783 0.278 0.611 0.885

Answers

Answer:

0.783

Step-by-step explanation: got it right :)

A college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

x > 0 and y > 0
0 < x ≤ 100 and 0 < y ≤ 400
0 < x ≤ 100 and y > 400
0 < x and y < 100

Answers

The constraints to represent the incoming students at the college are -

0 < x ≤ 100 and 0 < y ≤ 400

What is an Inequality? What is a expression? What is a mathematical equation?An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have a college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students

Now -

[x] = the number of out-of-state students

[y] = the number in-state students

y = 4x

0 < x ≤ 100

and the range of [y] will be -

0 < y ≤ (4 x 100)

0 < y ≤ 400

Therefore, the constraints to represent the incoming students at the college are -

0 < x ≤ 100 and 0 < y ≤ 400

To solve more questions on inequalities, visit the link below -brainly.com/question/1782515

#SPJ1

sorority has 35 members, 25 of whom are full members and 10 are pledges. Two persons are selected at random from the membership list of the sorority. Find the requested probabilities The second person selected is a pledge if the first person selected was a full member.

Answers

(a) The probability that the first person selected is a pledge is; 10/35

(b) The probability that the first person selected is not a pledge is; 25/35

(c) The probability that the second person selected is a pledge if the first person selected was also a pledge is; 9/34

How to find the probability of selection?

We are given;

Total number of members in the Sorority = 35

Number of full members = 25

Number of members that are pledges = 10

Formula for probability is;

Probability = Number of Favorable Outcomes / Total Number of Outcomes.

1) Probability that the first person selected is a pledge = number of pledges/total number of members = 10/35

2) Probability that the first person selected is not a pledge = 1 - (Probability that the first person selected is a pledge)

= 1 - 10/35 = 25/35

3)  If the first person selected was also a pledge, then for the second pledge, one pledge is out, so we have 9 pledges in 34 people.

P = number of pledges / total = 9/34

Read more about Probability of Selection at; https://brainly.com/question/251701

#SPJ1

Complete question is;

A sorority has 35 members, 25 of whom are full members and 10 are pledges. Two persons are selected at random from the membership list of the sorority. Find the requested probabilities. (Enter the probabilities as fractions.)

(a) The first person selected is a pledge.

(b) The first person selected is not a pledge.

(c) The second person selected is a pledge if the first person selected was also a pledge.

How do you simplify the square ro
ot of 180 and how do you know that it is in simplest form?

Answers

Step-by-step explanation:

[tex] \sqrt{180 } = 6 \sqrt{5} [/tex]

because 6² = 36 and 36×5 = 180

I don't think there's any simple way to do it

A coordinator will select 7 songs from a list of 11 songs to compose an event's musical entertainment lineup. How many different lineups are possible?

Answers

Answer:

Step-by-step explanation:

= 604800

What is the solution to the equation?
1/2n+3=6

n = 18
n = 9
n = 6
n=3/2​

Answers

start by plugging them in to thr problem

1/2n+3=6
1/2n+3-3=6-3
1/2n=3
n=6
Hope this helps

Levi invested $8,500 in an
account paying an interest rate of 3.4%
compounded continuously. Assuming no deposits or withdrawals are
made, how much money, to the nearest ten dollars, would be in the
account after 18 years?

Answers

The amount of money after 18 years when the interest is compounded continuously is $15725.

What is compound interest?

The process of calculating interest and reinvesting it in an account's balance over an infinite number of periods is known as continuous compounding.

Given that Levi invested $8,500 in an account paying an interest rate of 3.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars?

The compound interest will be calculated as

[tex]P(t) = P_oe^{rt}[/tex]

[tex]P(t) = 8500\times e^{0.034\times 18}[/tex]

P(t) = 8500 x 1.85

P(t) = $15725

Therefore, the amount of money after 18 years when the interest is compounded continuously is $15725.

To know more about compound interest follow

https://brainly.com/question/24274034

#SPJ1

Answer:15670

Step-by-step explanation:

5. Gary has walked 5 miles
already and continues
walking at a pace of 2
miles per hour. Write an
expression to represent
how many miles he has
walked.

Answers

Answer:210 miles

Step-by-step explanation:Gary walking in opposite directions will calculate how long it takes for him to be a given distance apart.

Avery earned a score of 310 on Exam A that had a mean of 350 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Avery score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally disturbed.

Answers

The score that Avery must get on Exam B is given as follows:

470.

What is the z-score formula?

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.

For exam A, the mean and the standard deviation are given as follows:

[tex]\mu = 350, \sigma = 20[/tex]

She scored 310, hence the z-score of her grade is given as follows:

Z = (310 - 350)/20

Z = -2.

For exam B, the mean and the standard deviation are given as follows:

[tex]\mu = 550, \sigma = 40[/tex]

To do as well as on exam A, she needs a z-score of -2, hence the grade X is obtained as follows:

-2 = (X - 550)/40

X - 550 = -80

X = 470.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

What is the probability that a point chosen at random in the triangle is also in the blue square?

Answers

Answer:

[tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Divide the area of the square by the area of the triangle.

[tex]\dfrac{A_{\textrm{square}}}{A_{\textrm{triangle}}} = \dfrac{3^2}{(9\times 6)\div 2}[/tex]

And simplify.

[tex]= \dfrac{9}{54 \div 2}[/tex]

[tex]= \dfrac{9}{27}[/tex]

[tex]=\dfrac{1}{3}[/tex]

2x^2 – 4x + 3 = 0 Solve using the quadratic formula
Please help i tried twice im so confused, nobody has the answer.

Answers

Answer: d = -8

Step-by-step explanation: look at the attached link

here is the image of triangle ABC and its dilation using Center D and scale factor 2. Why is B'C' on the same line as its corresponing side segment BC​

Answers

Since only the lengths increase by scale factor,  B'C' on the same line as its corresponding side segment BC​ .

What is the Dilation?

Math definition of dilation Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ.

The following are the properties of dilation of the triangle:

1)measures of the angles will not change

2)The sides  of the image of the triangle are multiplied  by the scale factor 2.

So,

A'B'=2AB

B'C'=2BC

A'C'=2AC

Since only the lengths  increase by scale factor,  B'C' on the same line as its corresponding side segment BC​ .

To learn more about the Dilation from the given link

https://brainly.com/question/3457976

#SPJ1

What is the rate of change of the function?
Enter your answer as a number, like this: 42

Answers

Answer:

-2

Step-by-step explanation:

1. Identify two points with integer (not fraction or decimal) coordinates:

  Ex: (0,5) and (3,-1)

2. subtract the y-coordinates: -1-5 = -6

   and the x- coordinates (IN THE SAME ORDER): 3-0 = 3

3. divide the difference in y (-6) by the difference in x (3): -6/3 = -2

I need your help please with this problem of math.

(14+8²)÷2-10

Answers

Answer: 29

Step-by-step explanation: your welcome

How many solutions does the system of equations have?

Answers

Answer: IT can have simultaneous solutions

Step-by-step explanation:

You need to go through the cubic units and count them to get the answer

Answer:

2 solutions

Step-by-step explanation:

The solutions of the system of equations are the points of intersection of the two graphs, the red line and the blue parabola. Since there are two points of intersection, there are 2 solutions.

Answer: 2 solutions

20. ASSESS REASONABLENESS Your friend says that when the pool in Exercise 19 is more than 8 feet deep, you will win the race. Is your friend's claim reasonable? Explain your reasoning. pls hurry ​

Answers

Answer:

Step-by-step explanation:

No because the deepness of an pool doesnt affect how fast you will swim during the race

No because the deepness of an pool doesnt affect how fast you will swim during the race.

What is the depth?

Depth refers to a type of vertical distance, where vertical distance is the difference between two vertical positions. One of the most common everyday examples of depth is its use in reference to water.

Here given that,

Your friend says that when the pool in Exercise [tex]19[/tex] is more than [tex]8[/tex] feet deep, you will win the race.

Our swimming speed will never change it does not depend on the depth of the pool.

Hence, depth of the pool does not effect the speed of swimmer.

To know more about the depth

https://brainly.com/question/14316675

#SPJ2

Four scenarios of statistical studies are given below. Decide which study uses a sample statistic.

Answers

Based on the four scenarios of statistical studies given, a study which uses a sample statistic is: D. As part of her senior project, Kaisa asked 84 of her classmates if they voted in the last presidential election, 39 said yes.

What is a sample statistic?

In Mathematics and Statistics, a sample statistic can be defined as a small piece of statistical information that is obtained by a researcher or scientist from the sample of a population.

This ultimately implies that, a sample statistic simply refers to any numerical quantity (figure) or data that is generated from the sample of a population by a researcher or scientist.

In this context, we can reasonably infer and logically deduce that 84 of Kaisa's classmates represent the sample of the total population while the 39 classmates who answered yes represent the sample statistic.

In conclusion, the statistical study that was conducted by Kaisa is a study that represent the sample statistic.

Read more on sample statistic here: https://brainly.com/question/29449198

#SPJ1

Complete Question:

Four scenarios of statistical studies are given below. Decide which study uses a population parameter.

The average finish time for the Ironman, Kona was 11:32 for the 1883 finishers, with an average swim time of 1:14, an average bike time time of 4:14.

Lakeside Family Dentistry reported that 6 of the 15 patients who came in for a regular cleaning one day had at least one cavity.

Of 351 dog owners who were surveyed, 70 reported owning two dogs.

As part of her senior project, Kaisa asked 84 of her classmates if they voted in the last presidential election, 39 said yes.

pythagorean theorem number search activity

Answers

Step-by-step explanation:

1). Red

x² = 98² - 44² = 9604 - 1936 = 7668

x =√7668 = 6√213

2) orange

X² = 31²+30² = 1861

x = √1861

If cos of Ф = 2/5, find sin Ф/2 and cos Ф/2. Assume the angles are in the 1st quartile

Answers

a. The trigonometric ratio sin(Ф/2) = +√(3/10)

b. The trigonometric ratio cos(Ф/2) = +√(7/10)

What are trigonometric ratio?

Trigonometric ratios are the ratios of the sides of a right-angled triangle. They include

sinФ, cosФ, tanФ etc

where Ф is the angle between the sides

a. How to find the trigonometric ratio sin(Ф/2)?

Given that cosФ = 2/5, we use the trigonometric identity

cosФ = 1 - 2sin²(Ф/2)

Making sin(Ф/2) subject of the formula, we have

sin(Ф/2) = ±√(1 - cosФ)/2

So, susbstituting the value of cosФ = 2/5 into the equation, we have

sin(Ф/2) = ±√(1 - cosФ)/2

sin(Ф/2) = ±√(1 - 2/5)/2

sin(Ф/2) = ±√[(5 - 2)/5]/2

sin(Ф/2) = ±√(3/[5 × 2])

sin(Ф/2) = ±√(3/10)

Since Ф is in the first quartile, sin(Ф/2) = +√(3/10)

b. How to find the trigonometric ratio sin(Ф/2)?

Given that cosФ = 2/5, we use the trigonometric identity

cosФ = 2coss²(Ф/2) - 1

Making sin(Ф/2) subject of the formula, we have

coss(Ф/2) = ±√(1 + cosФ)/2

So, susbstituting the value of cosФ = 2/5 into the equation, we have

coss(Ф/2) = ±√(1 + cosФ)/2

cos(Ф/2) = ±√(1 + 2/5)/2

cos(Ф/2) = ±√[(5 + 2)/5]/2

cos(Ф/2) = ±√(7/[5 × 2])

cos(Ф/2) = ±√(7/10)

Since Ф is in the first quartile, cos(Ф/2) = +√(7/10)

Learn more about trigonometric ratios here:

https://brainly.com/question/28887726

#SPJ1

I really need help on this!

Answers

The common ratio of given geometric sequence is r = - (1/2)

What is geometric sequence?

A geometric sequence is a set of integers that follows a pattern where each term is multiplied by a fixed number called the common ratio, or r, to find the following term.

solution:

a3 = - (3/8)

a8 = 3/256

common ratio = a3 / a8

                        = - (3/8) / 3/256

common ratio = - (1/32)

a8/a3 = (ar^7) / (ar^2)

          = r^5

r^5 = - (1/32)

    r = - (1/2)

Hence the common ratio of given geometric sequence is r = - (1/2)

To learn more about geometric sequence from the given link

https://brainly.com/question/24643676

#SPJ1

What two ways could you describe the shape pattern below?
ΔΟΔΟΔΟ

Answers

Answer:

The pattern is a repeated triangle and circle.

So, the next shape would be a triangle and a circle.

Step-by-step explanation:

can someone help me please?

Answers

let's consider two numbers for this case, hmmm say

x = 13

y = 17

so yes, 13 < 17

also true, 13 + 2 < 17 + 2

also true that 2(13) < 2(17)

now, -13 < -17?  well, not quite

reason being, the on the negative side of the number line, the closer to 0, the larger the number, for that case, -1 is much much larger than -1,000,000.

Find the missing angle:




RPQ:________

Answers

The missing angle RPQ between the intersected chord is 115 degrees.

How to find the angle between intersected chord?

The intersecting chords theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

learn more on circle theorem here: https://brainly.com/question/19906313

#SPJ1

The lines passing through which pairs of points have a positive y-intercept? Select all that apply. A (- 3, 10) and (1, 2) B (- 1, 6) and (0, 2) C (1, 2) and (3, 4) D (0, - 4) and (3, - 2) E (3, 1) and (5, 2)

Answers

The lines passing through points A (- 3, 10) and (1, 2) , B (- 1, 6) and (0, 2) , and C (1, 2) and (3, 4) has positive y-intercept.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we know, the slope formula is:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

A (- 3, 10) and (1, 2)

m = (2-10)/(1+3)

m = -8/4 = -2

y = mx + c

y = -2x + c

Plug (- 3, 10)

10 = -2(-3) + c

c = 10 - 6 = 4 (positive y-intercept)

Similarly, for the other points:

B (- 1, 6) and (0, 2)

y = -4x + 2 (positive y-intercept)

C (1, 2) and (3, 4)

y = x + 1 (positive y-intercept)

D (0, - 4) and (3, - 2)

y = 0.667x - 4 (negative y-intercept)

E (3, 1) and (5, 2)

y = 0.5x -0.5 (negative y-intercept)

Thus, the lines passing through points A (- 3, 10) and (1, 2) , B (- 1, 6) and (0, 2) , and C (1, 2) and (3, 4) has positive y-intercept.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

F and H are sets of real numbers defined as follows.
F = { v l v < 4}
H = { v l v ≥ 7}
Write F ∩ H and F ∩ H using interval notation. If the set is empty, write ∅.

Answers

The final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

What is the interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.

We have,

F and H are sets of real numbers defined as follows.

F = { v l v < 4}

H = { v l v ≥ 7}

F is the set of all real numbers that are less than or equal to 4.  H is the set of real numbers greater than 7.

F U H is the union (or combination) of the two sets, so it is the set of all real numbers that are less than equal to 3 or greater than 6:

F ∩ H is the set of real numbers that are in both sets; but since F is less than or equal to 4 and H is greater than 7, there are no numbers that are in both sets.  Hence the answer is the empty set, Ø:

F ∩ H = Ø

F ∩ H = [7, 4]

F ∪ H = [-∞, ∞]

Hence, the final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

To learn more about interval notation visit,

https://brainly.com/question/26025356

#SPJ4

help meeeeeeeeeeeeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeee

Answers

Answer:

The quickest answer is to take the number 72 and divide it by the rate of interest. In this case, it would take approximately 72/6, or 12 years to double.

Step-by-step explanation:

y = 3x + 2

y = 2x + 2

One solution
No solution
Infinite solutions

Answers

Answer:

The answer would be One solution.

Step-by-step explanation:

Solving by substitution.

y=3x+2;y=2x+2

Step: Solve y=3x+2 for y:

y=3x+2

Step: Substitute 3x+2 for y in y=2x+2:

y=2x+2

3x+2=2x+2

3x+2+−2x=2x+2+−2x(Add -2x to both sides)

x+2=2

x+2+−2=2+−2(Add -2 to both sides)

x=0

Step: Substitute 0 for x in y=3x+2:

y=3x+2

y=(3)(0)+2

y=2(Simplify both sides of the equation)

Answer:

x=0 and y=2

If it was no solution you would not be able to solve. If it was infinite then there would be infinite solutions, but there is not so One Solution is the answer.

638 divided by 34 long division

Answers

Answer:

18 R26

Step-by-step explanation:

[tex]\ \ \ \ \ \ \,\,\, 18 \textrm{ R}26\\{34\ \overline{\smash{)}\ 638}}\\\textrm{ } \ \ \ \underline{-34}\\\textrm{ } \ \ \ \ \ \, 298\\\textrm{ } \: \, \ \ \underline{-272}\\\textrm{ } \ \ \ \ \ \ \: \, 26[/tex]

Divide €45 between Sharon and Louise in the ratio of 4: 5.​

Answers

Answer:

€20 for Sharon

€25 for Louise

Step-by-step explanation:

For a ratio of 4:5, you add 4+5 = 9.

You need 4 out of 9 parts for Sharon, and 5 out of 9 parts for Louise.

4/9 × €45 = €20 for Sharon

5/9 × €45 = €25 for Louise

Other Questions
g a projectile is shot directly away from earth's surface. neglect the rotation of the earth. what multiple of earth's radius gives the radial distance the projectile reaches if its initial speed is 0.745 of the escape if you wanted to filter data and create a new data set for a specific use case or audience, which analytics 360 feature would you use? unique creations has a monopoly position in magnometers. if the marginal cost for a mag-nometer is $50 and the price elasticity for magnometers is -4, what is the profit-maximizing markup? a biologist collected 326 fern and moss samples. there were 66 fewer ferns than moss samples. how many fern samples did the biologist collect? Single plantwide factory overhead rate The total factory overhead for Cypress Marine Company is budgeted for the year at$900,000, Cypress Marine manufactures two types of boats; speedboats and bass boats. The speedboat and bass boat each require 10 direct labor hours for manufacture. Each product is budgeted for 400 units of production for the veat: a. Determine the total number of budgeted direct labor hours for the year. direct labor hours b. Determine the single siantwide factory ovethead rate, Round your answer to two decimal places. per dih c. Determine the factory overhead allocated per unit for each product using the single plantwide foctory overnead rate. Speedboats 1 per unit Bast boats 1 per unit: in a bacterium, there is a mutation in the gene for the repressor protein of the lac operon. the mutation has changed a codon in the mrna from ucu to ucc. when lactose is present, how would this mutation affect the function of the lac operon? the time complexity for inserting an element into a binary search tree is . o(n) o(nlogn) o(n^2) o(logn) a gross profit ratio of 55% indicates that: multiple choice for each $1 of sales, the company generates $0.55 in gross profit. for each $1 of gross profit, the company generates $0.55 in net income. for each $1 of net income, the company generates $0.55 in gross profit. for each $1 of gross profit, the company generates $0.55 in sales. The graph of y=x is translated 4 units left and 1 unit up to create the function h(x). The graph of h(x) is shown on the coordinate grid.What is the range of h(x)?{y|y -4}{y|y -1}{y|y 1}{y|y 4} the proportion of land to water is about the same in both the northern hemisphere as in the southern hemisphere. t/f Why does a tattoo not float around? Graph:3/4 times 2^x What's a major benefit to a buyer if she signs a buyer representation agreement? what is the answer to the picture the two answers on there The characteristic that determines which generation in plants is dominant is the generation that. how does meiosis generate genetic diversity? answer homologous chromosomes cross over during prophase i, and during metaphase i, chromosomes align randomly. during prophase ii, chromosomes exchange material. during metaphase i, chromosomes align randomly, and during prophase ii, chromosomes exchange material. homologous chromosomes cross over during prophase i. during metaphase i, chromosomes align randomly. i don't know yet Number the events in the order in which they occurred. use the same number for events that happened at the same time. three events have been numbered. is a term invented by winston churchill describing the communist oppression that took over eastern europe. iron shield steel curtain steel shield iron curtain sarah emails joyce to let her know about a job opening. what is sarah's role in the communication process? a client with a history of allergic rhinitis comes to the clinic for an evaluation. the client is prescribed triamcinolone. what will the nurse include when teaching the client about this drug?