In a right triangle, the legs have lengths of 8 and 15. What is the perimeter of this triangle?

Answers

Answer 1

Answer:

40

Step-by-step explanation:

Use Pythagorean Theorem to find the 3rd side, which will be 17. Then add all of the sides and you'll get the answer.


Related Questions

4. What is the largest number of identical cubes whose volumes are whole numbers (1,2,3,...) that would fit in a cube
whose volume is 1080 cm3? Show all your work.

Answers

Answer:

The largest number of identical cubes whose volumes are whole numbers  that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.

Step-by-step explanation:

Given that volume of larger cube is 1080[tex]cm^{3}[/tex]

To find number of smaller cube with volume as whole numbers can fit the larger cube:

Imagine Rubik's cube of 3x3 as larger volume and one piece of Rubik's cube is smaller cube. On one edge, three smaller cube with volume

In the same way,

Assuming one edge has 'x' number of cube with volume as whole numbers

Since, It is cube. Number of cube in other edges will be 'x' too

For smaller cube,

Take one side of smaller cube as x

Therefore, One side of larger cube will be nx

For cube,  length = height = breath =nx

The volume of larger cube : [tex](nx)^{3} =1080[/tex]

nx=10.2598cm

we need to find the "largest" number of cube( i.e n )

Therefore, Side x will be smallest and n will be largest.

For smallest value of x,

It is also said that " volumes are whole numbers "

smallest whole number is 1

Thus,

nx=10.2598cm

n=10.2598

n is also whole number so that n=10

The largest number of identical cubes whose volumes are whole numbers  that would fit in a cube of volume 1080 [tex]cm^{3}[/tex] is 10.

The inequality of the graph

Answers

Answer:

[tex]\displaystyle y > 4x - 2[/tex]

Step-by-step explanation:

Starting from the y-intercept of [tex]\displaystyle [0, -2],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving four blocks south over one block west or four blocks north over one block east [west and south are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be less than and greater than since this is a dashed line graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:

Greater than

[tex]\displaystyle 0 > 4[0] - 2 → 0 > -2[/tex]☑

Less than

[tex]\displaystyle 0 < 4[0] - 2 → 0 ≮ -2[/tex]

This graph is shaded in the portion of the origin, so you would choose the greater than inequality symbol to get this inequality:

[tex]\displaystyle y > 4x - 2[/tex]

I am joyous to assist you anytime.

Brian went shopping and spent $47 on jewelry. If he spent $67 total, what percentage did he spend on jewelry? Round your answer to the nearest percent.

Answers

Brian spent 70% of his money on jewelry.

Step-by-step explanation:

Given,

Amount spent on jewelry = $47

Total amount spent = $67

Percentage of jewelry = [tex]\frac{amount\ spent\ on\ jewelry}{total\amount\ spent}*100[/tex]

[tex]Percentage\ of\ jewelry=\frac{47}{67}*100\\\\ Percentage\ of\ jewelry=\frac{4700}{67}\\Percentage\ of\ jewelry= 70.14\%[/tex]

Rounding to nearest whole number.

Percentage of jewelry = 70%

Brian spent 70% of his money on jewelry.

Keywords: percentage, division

Learn more about division at:

brainly.com/question/9607945brainly.com/question/9729310

#LearnwithBrainly

Danielle walked from her house to several locations in her town. The graph represents her distance from home after x hours.


a.How far from home was Danielle after 1/2 hour?

b.What was Danielle's speed between 0 and 1 hour?

c.What was Danielle's speed between 1 and 2 hours?

d.What is the domain when the function is increasing?

e.What is the domain when the function is decreasing?

f.What is the domain when the function is constant?

Graph down below

PLEASE HELP ASAP!!!





















Answers

Answer:

The answer for A. Would be 1 mile B. 2mph C. 4mph and the rest Im still working on

Step-by-step explanation:

Answer:

a. How far from home was Danielle after 1/2 hour?

According to the graph, after half hour, Danielle was 1 mile far from home.

b. What was Danielle's speed between 0 and 1 hour?

To find the speed we have to apply the formula:

[tex]s=\frac{\Delta d}{\Delta t}[/tex]

From [tex]t=0[/tex] and [tex]t=1[/tex], Danielle went from [tex]d=0[/tex] to  [tex]d=2[/tex]. Replacing this values, we calculate the speed:

[tex]s=\frac{\Delta d}{\Delta t}\\s=\frac{2-0}{1-0}=2[/tex]

Therefore, the speed between 0 and 1 hour is 2 miles per hour.

c. What was Danielle's speed between 1 and 2 hours?

The Danielle's speed between 1 and 2 hours is zero ([tex]s=0[/tex]). Because, according to the graph, during this time, Danielle didn't move, and without move, there's no speed.

d. What is the domain when the function is increasing?

The domain when the function is increasing refers to the increasing x intervals.

From the graph, this increasing interval is from 0 to 1 hours only, it's the only period of time when Danielle was increasing her position.

e. What is the domain when the function is decreasing?

The parts of the decreasing domain are:

From 2 to 3 hours.From 3 and a half to 4 hours.

In the graph, you can see these decreasing intervals, which are characterized by a downwards direction of the line.

f. What is the domain when the function is constant?

The parts where the function is constant:

From 1 to 2 hours.From 3 to 3 and a half hours.

Constant intervals, means no increase, no decrease, just an horizontal line.

what is the relationship between angle 1 and angle 5​

Answers

Answer:

○ b Corresponding Angles

Step-by-step explanation:

These two angles are a mirror, so they correspond.

I am joyous to assist you anytime.

Final answer:

Angle 1 and angle 5 are alternate interior angles with the same measure.

Explanation:

Angle 1 and angle 5 are alternate interior angles formed by a transversal line intersecting two parallel lines. Alternate interior angles are equal in measure, which means that angle 1 and angle 5 have the same measure. This relationship holds true regardless of the specific measurements of angle 1 and angle 5.

Learn more about Angles here:

https://brainly.com/question/33354646

#SPJ2

PLEASE PLEASE PLEASE ANSWER!!

Sarah wants to make a quilt that is 6 feet wide and 8 feet long. She is patching together 4- inch sided squares of fabric to make the quilt. How many patches of fabric will Sarah need?

A.) 120 patches
B.) 216 patches
C.) 432 patches
D.) 1,728 patches

Answers

Answer:

The answer is D brother

Step-by-step explanation:

First, convert the 6 by 8 into inches: 96 by 72 which equals 6912. Now take 6912 and divide it by 4 (for the individual squars) and you get: 1728

A = L x W

A= 8 x 6

A= 96 x 72

96 x 72 = 6912

6912 / 4" = 1728

If your teachers mean like mine, they make you write it out like this:)

Hope that clears it up:)

By taking the quotient between the area of the quilt and the area of a single patch, we will see that she needs 432 patches.

How many patches does she need?

To get this, we need to find the quotient between the surface area of the quilt and the area of a patch.

The quilt is 6ft by 8ft, then the area is:

A = 6ft*8ft = 48ft^2

Remember that:

1ft = 12 in

1ft^2 = (12 in)^2 = 144 in^2

Then the area in square inches is:

A = 48ft^2 = 48*(144 in^2) = 6,912 in^2

Now, the patches are squares of sidelength of 4 inches, then the area of each patch is:

a = (4 in)^2 = 16 in^2

The quotient between the areas gives:

A/a = (6,912 in^2)/(16 in^2) =432

This means that Sarah needs 432 patches, so the correct option is C.

If you want to learn more about area, you can read:

https://brainly.com/question/24487155

PLEASE HELP! I NEED TO GET THIS DONE SOON!


Given: Circle O, diameter, marked perpendicular, Chord BC= 10,
find x

Answers

Answer:6

Step-by-step explanation:

In a circle, a radius perpendicular to a chord bisects the chord. So BC = CA BC = 6 (given) x (or AC) = 6 Answer = 6. Tell me if I was right. Thanks.

Answer:

it's 6

Step-by-step explanation:

A collection of dimes and quarters is worth $10.45. There are 70 coins in all. Find how many of each there are

Answers

There are 47 dimes and 23 quarters.

Step-by-step explanation:

Total amount = $10.45 = 10.45*100 = 1045 cents

Total coins = 70

1 dime = 10 cents

1 quarter = 25 cents

Let,

Dimes = x

Quarters = y

According to given statement;

x+y=70   Eqn 1

10x+25y=1045   Eqn 2

Multiplying Eqn 1 by 10;

[tex]10(x+y=70)\\10x+10y=700\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](10x+25y)-(10x+10y)=1045-700\\10x+25y-10x-10y=345\\15y=345[/tex]

Dividing both sides by 15;

[tex]\frac{15y}{15}=\frac{345}{15}\\y=23[/tex]

Putting y=23 in Eqn 1

[tex]x+23=70\\x=70-23\\x=47[/tex]

There are 47 dimes and 23 quarters.

Keywords: linear equations, subtraction

Learn more about linear equations at:

brainly.com/question/12954015brainly.com/question/13018923

#LearnwithBrainly

Amanda wants to know if the teenagers in her town like a new Friday night bowling event.​

Answers

Answer:

C

Step-by-step explanation:

Answer choice A and B are biased towards No answers because they point out flaws with the event. Choice D is not biased because it doesn't discuss good or bad aspects of the event.

As per the question the teenagers in Amanda's town like to watch the bowling event every new Friday night.

This can be known by sentence C that states that you like the new Friday night bowling event with free snacks and lives music. As this response is most likely to trigger a yes.

Hence the option C is correct.

Learn more bout the know if the teenagers in her town like a new Friday night bowling event.​

brainly.com/question/20709624.

you run 10 miles in 1 hour and 15 mintues keeping the same pance how long would it take to run 15miles

Answers

Answer:

1 hour and 30 minutes

Step-by-step explanation:

because it took an hour for 10 mile so add another five miles and it would take 30 minutes

Answer:

it would take you 1 hour and 30 mins

Step-by-step explanation:

it would be that because 1 hour is 60 mins and it takes you 60 mins to run 1 mile add half a mil and then it would be 1 hr 30

Which ordered pair is a solution of the equation? X+7y=17

Answers

Answer:

Both (10,1) and (-4,3)

Step-by-step explanation:

No need but hope it helps:D

Answer:

C

Step-by-step explanation:

if it is on khan this answer is right


Will make brainliest

2. What elevation is Point E on Map 1? *


10 feet

30 feet

50 feet

70 feet


3. What elevation is Point F on Map 1? *


10 feet

30 feet

50 feet

70 feet


Answers

Answer:

2. 30 ft

3. 50 ft.

Step-by-step explanation:

2. The contour map of a place is shown in the diagram.  

The point E is placed near to the 30 ft contour line.

Therefore, the elevation of the point E on the map is 30 ft. (Answer)

3. From the same contour map shown in the diagram, it is clear that,  

The point F is placed near to the 50 ft contour line.

Therefore, the elevation of the point F on the map is 50 ft. (Answer)

Write the equation in function form
6y - 4x = 24

Answers

Answer:

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

Step-by-step explanation:

An equation in function is found by isolating y, and changing "y" to "f(x)".

Isolate y by moving everything else to the other side

What is done to one side must be done to the other

6y - 4x = 24

6y - 4x + 4x = 24 + 4x          (add 4x to both sides. -4x +4x cancels out)

6y = 24 + 4x

6y/6 = 24/6 + 4x/6             (divide both sides by 6)

y = 4 + (2/3)x          (simplify)

y = (2/3)x + 4        (rearrange to a familiar format "y=mx+b")  

f(x) = (2/3)x + 4        (replace y with f(x))

2/5(10x+15)=26 solve for x

Answers

Answer:

x=5

Step-by-step explanation:

2/5(10x+15)=26

10x+15=26/(2/5)

10x+15=(26/1)(5/2)

10x+15=130/2

10x+15=65

10x=65-15

10x=50

x=50/10

x=5

Answer:

x=5

Step-by-step explanation:

Question 5
Which set of coordinates represents a function?
(x, y)
(-2, 4)
(-1, 1)
(0,0)
(-1,-1)
(-2,-4)
(x, y)
(0,5)
(1, 10)
(2, 15)
(3, 20)
(4, 25)
(x, y)
(0,0)
(3, 3)
(3,-3)
(5,5)
(5, -5)
(x, y)
(1, 1)
(1,2)
(1, 3)
(1,4)
(1,5)

Answers

Answer:

Im guessing every time  (x,y) comes, it starts a new set

Step-by-step explanation:

In that case,

(x, y)

(0,5)

(1, 10)

(2, 15)

(3, 20)

(4, 25)

is the correct set

1. What are transition metals?

Answers

Answer:

Any of the set of metallic elements occupying a central block (Groups IVB–VIII, IB, and IIB, or 4–12) in the periodic table, e.g., iron, manganese, chromium, and copper. Chemically they show variable valence and a strong tendency to form coordination compounds, and many of their compounds are colored.

Step-by-step explanation:

An element with mass 820 grams decays by 26.8% per minute. How much of the element is remaining after 18 minutes, to the nearest 10th of a gram?

Answers

Answer:

3.0 grams of the element are left after 18 minutes

Step-by-step explanation:

Recall that an exponential decay that can be studied with the following formula for the amount of material (A) as a function of time (t):

[tex]A(t)=A_0(1-r)^t[/tex]

where:

[tex]A_0[/tex] is the starting amount of the substance (in our case 820 grams)

r is the rate of decay (which in our case given as 26.8% can be written in decimal form as 0.268

and t is the time in minutes (in our case t = 18 minutes)

Then we have:

[tex]A(t)=A_0(1-r)^t\\A(18)=820*(1-0.268)^18\\A(18)=820*(0.732)^18\\\\A(18)=2.985\,grams[/tex]

which can be rounded to 3.0 grams

Answer: 3.0

Step-by-step explanation:

a=820

r= rate= 26.8%=0.268

b=1-r=1-0.268=0.732

y=820(0.732)^18

y=2.985474

y=3

Is (-3,2)(−3,2) a solution of -4x -10y < -9−4x−10y

Answers

Answer:

No

Step-by-step explanation:

-4(-3)-10(2)=-8

-9-4(-3)-10(2)=-17

-8>-17

Please help me and please use substitution

4x - y = 18
-8x – 2y = 4

Answers

[first, multiply the first equation by 2]
[8x - 2y = 36]
[now combine the like terms from each equation. For example, -8x + 8x = 0]
[-4y = 40]
[y = -10]
[x = 2]
(2, -10)
Point Form: (2,-10)
Equation Form: x = 2, y = -10

Evaluate the given algebraic expression for x = 7 and y = 3. 2x + 2y 10 20 23 15

Answers

Answer: 20

Step-by-step explanation:

x = 7

y = 3

2x + 2y = 2(x + y)

2(7+3) = 2 • 10 = 20

Answer:

20

Step-by-step explanation:

2(7) + 2(3)

14 + 6

20

How many cubes with side lengths of 1/2 cm does it take to fill the prism? Height: 3/2 cm Width:1 cm length: 2 cm

Answers

Answer:

24

Step-by-step explanation:

If we want to cover the base of the prism having dimensions 2 cm × 1 cm with [tex]\frac{1}{2}[/tex] cm length of cube, then there will be (4 × 2) = 8 cubes that can occupy the base.

Width is 1 cm, so there can fit 2 cubes of length [tex]\frac{1}{2}[/tex] cm and length is 2 cm, where 4 cubes of length [tex]\frac{1}{2}[/tex] cm can fit. So, in total (4 × 2) = 8 cubes of [tex]\frac{1}{2}[/tex] cm length.

Now, height of the prism is [tex]\frac{3}{2}[/tex] cm where 3 cubes of length [tex]\frac{1}{2}[/tex] cm can fit.

Therefore, in total there can be (8 × 3) = 24 cubes of [tex]\frac{1}{2}[/tex] cm length. (Answer)

Answer:

24 cubes

Step-by-step explanation:

Please see the pictures below:  

(I hope this helped! :) )

2.5 \dfrac{\text{g}}{\text{cm}^3}2.5 cm 3 g ​ 2, point, 5, start fraction, start text, g, end text, divided by, start text, c, m, end text, cubed, end fraction.

Answers

Answer:

bojdsvj

Step-by-step explanation:dvsDV

I sorry lol i need points :/

For 3 and 4 find the slope of the line that passes through the given points

Answers

Attach a picture for the question

Order the integers from least to greatest 11 , 0, -8, 9, 3

Answers

Answer:

The answer is -8, 0, 3, 9, 11

Answer:

-8, 0, 3, 9, 11

Step-by-step explanation:

a buyer spend $164 for two loads of mulch at $22.50 per load $35 worth of flowers and 42 landscaping blocks. fine the cost per block

Answers

Answer:

The cost per block was about 45$

Step-by-step explanation:

I think so, but dont believe it... I may be wrong. Please mark me brainliest

Final answer:

The buyer spent $2 per landscaping block.

Explanation:

Firstly, we need to find out how much money was spent on the landscaping blocks. Given that the buyer spent $164 for two loads of mulch at $22.50 per load and $35 worth of flowers, subtract the total cost of the mulch and flowers from the total amount spent. This gives us:

($22.50 x 2) + $35 =$80 spent on mulch and flowers. Therefore, $164 - $80 = $84 spent on landscaping blocks.

Finally, find the cost per block, by dividing the total amount spent on blocks by the number of blocks. So, $84 / 42 blocks = $2 per block.

Learn more about Cost Calculation here:

https://brainly.com/question/33521342

#SPJ12

what is the square root of 25/64

Answers

The square root of 25/64=5/8

The value of square root of 25/64 will be;

⇒ 5/8

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is,

⇒ square root of 25/64

⇒ √(25 / 64)

Now,

Since, The number is,

⇒ √25/64

⇒ √ (5×5 / 8×8)

⇒ 5 / 8

Thus, The value of √ 25/64 = 5/8

Learn more about the square root visit:

https://brainly.com/question/428672

#SPJ2

John has $8 in his bank account when he gets a job. He begins making $80 a day. A student found that
the equation that represents this situation is y = 8x + 80.
What is wrong with the student's equation? Complete the explanation and correct the student's error.

Answers

Answer:

y = 8 + 80x

Step-by-step explanation:

Given,

The equation is, y = 8x + 80

It is the wrong equation. Because John has $8 in his bank when he gets a job. It means it is fixed. On the other hand, since he begins earning $80 per day. It becomes variable earnings for him. We know that variables (x, y, z) are multiplied by the variable number (If there is no value for variables). Therefore, the equation will be =

As $8 is fixed and $80 is a variable earnings,

y = 8 + 80x

Here, x represents the number of days John will work. If he works for 20 days, the value will be changed for the number of days he earns. The fixed amount will never be changed.

ABCD is a trapezoid with mid-segment (E f). If Ad=5x-11, E f=3x+7, Bc=2x+7, how many units in length is (E f) i need equation, algebra procedures, value of x, and length of (E f)

Answers

Answer:

x = 18

Step-by-step explanation:

The length of the midsection is the sum of the two bases divided by 2. Remember that the bases of a trapezoid are the two parallel sides. So that means:

((5x - 11) + (2x + 7)) /2 = 3x + 7

Simplify ((5x - 11) + (2x + 7)) /2:

(5x - 11) + (2x + 7) /2 = (5x + 2x - 11 + 7) /2 = (7x - 4) /2

Therefore:

(7x - 4) /2 = 3x + 7

Now solve this simultaneous equation:

7x - 4 = 6x + 14

7x = 6x + 18

x = 18

The planet Mars has two moons – Phobos and Deimos. Phobos has a mass of 10.8 × 1015 kilograms, and Deimos has a mass of 2.0 × 1015 kilograms. How much greater is the mass of Phobos than the mass of Deimos?
A) 8.8 × 1015 kilograms
B) 8.8 × 1016 kilograms
C) 9.2 × 1014 kilograms
Eliminate
D) 9.2 × 1015 kilograms

Answers

A) 8.8 × 10^15 kilograms is the right answer

Step-by-step explanation:

Given

Mass of Phobos = [tex]10.8 * 10^{15}\ kg[/tex]

Mass of Deimos = [tex]2.0 * 10^{15}\ kg[/tex]

In order to find how greater is the mass of Phobos from Deimos, the smaller mass will be subtracted from the larger mass

So,

[tex]= 10.8*10^{15} - (2.0*10^{15})[/tex]

As the exponents are same, the numbers can be subtracted directly

[tex]=(10.8-2.0) * 10^{15}\\= 8.8*10^{15}\ kg[/tex]

Hence,

A) 8.8 × 10^15 kilograms is the right answer

Keywords: Exponents, Addition

Learn more about exponents at:

brainly.com/question/4054269brainly.com/question/4163549

#LearnwithBrainly

What are the lengths of KN and KL.?

Answers

I think the answer is 90 degrees because both triangles are 90, but you're only finding KN and KL which is on ONE triangle not both. SO there's a 90 degree angle on the top triangle. So I'd go with 90, but I could be wrong.

Other Questions
Two concrete spans of a 250-m-long bridge are placed end to end so that no room is allowed for expansion. If a temperature increase of 20.0C occurs, what is the height y to which the spans rise when they buckle? It has been argued that as a result of not producing the quantity of output where unit cost is minimized, the monopolistic competitive firm charges too __________ a price and produces too __________ output. Write a program to calculate student's average test scores and the grade. You may assume the following input data: Jack Johnson 85 83 77 91 76 Lisa Aniston 80 90 95 93 48 Andy Cooper 78 81 11 90 73 Ravi Gupta 92 83 30 69 87 Bonny Blair 23 45 96 38 59 Danny Clark 60 85 45 39 67 Samantha Kennedy 77 31 52 74 83 Rabin Bronson 93 94 89 77 97 Sheila Sunny 79 85 28 93 82 Kiran Smith 85 72 49 75 63 Select the correct answer from each drop-down menu.During the day, plants produce ___________by splitting water molecules in the light-dependent reactions of photosynthesis. At thesame time, plants use cellular respiration to produce some of the __________needed by the light-Independent reactions to makesugars. During the night, plants produce __________because _______takesplace. Which Amendment allowed senators to be elected by the people, since previously senators were chosen by the state legislators of their own states? * Pumps move substances ____________ a concentration gradient, a process that requires energy. Channels instead provide the means to move a substance ____________ a concentration gradient. Neurons contain the following major types of channels: Channels that are always open, allowing continuous diffusion of a specific ion from a region of ____________ concentration to a region of ____________ concentration are leak channels. Channels that are normally closed that open in response to the binding of a ____________ are chemically gated channels. When open, they allow a specific ion to ____________ across the plasma membrane. Channels that are normally closed, but open in response to changes in ____________ across the plasma membrane are voltage-gated channels. When open, they allow a specific ion to diffuse across the membrane. How did the Age of Exploration contribute to European involvement in theAfrican slave trade?OA. Europeans established trade routes to Asian kingdoms, which hada huge demand for slaves.B. Europeans came into contact with African slave traders whileexploring the coast of Africa.C. Europeans discovered the African slaves made excellent quidesand servants on merchant ships.D. Europeans determined that African slaves actually produced finergoods than Asian craftspeople. BSW Corporation has a bond issue outstanding with an annual coupon rate of 7 percent paid quarterly and four years remaining until maturity. The par value of the bond is $1,000. Determine the fair present value of the bond if market conditions justify a 14 percent, compounded quarterly, required rate of return. (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16)) Item 13Factor out the coefficient of the variable.The expression 14y+38 factored is Samantha is the best middle manager the company has. She constantly puts countless hours into her job and is one of the best and brightest around. Samantha has not received a raise or promotion for many years and believes it is because she is a woman experiencing unseen discrimination. It is clear that Samantha is feeling the effects of a_____. As a function of government in a modern market economy, how MIGHT a government respond to a market failure?A.) A government might allow businesses to act in their own self-interestB.) A government might intervene in the market to reestablish efficiency.C.) A government might persuade consumers to reduce demand.D.) A government might discourage entrepreneurship. "Of the four areas of intelligence that appeared in the Experience (numerical insight, analogies, dynamic images and spatial insight), a writer would most likely excel in analogies, and a sculptor would probably excel in spatial insight."True / False. Genetic variation leads to genetic diversity in populations and is the raw material for evolution. Biological systems have multiple processes, such as reproduction, that affect genetic variation. They are evolutionarily conserved and shared by various organisms.Which statement best represents the connection between reproduction and evolution?A) Plants that use sexual reproduction are rare since this type of reproduction in plants does not contribute to genetic diversity.B) In order to increase genetic diversity for evolution in sexually reproducing organisms, mutations must occur in the zygote after fertilization.C) Since prokaryotic organisms reproduce asexually, there is no mechanism for them to add genetic diversity for evolution.D) Sexual reproduction increases genetic variation because random mutations can be shuffled between organisms. What is 4,479,621,002 rounded to the nearest ten million Check Point Management (CPM) is the main management process that provides the architecture for a consolidated management console. CPM allows the GUI client and management server to communicate via web service using ______. a. TCP port 19009 b. TCP Port 18190 c. TCP Port 18191 d. TCP Port 18209 Consider the following family history: Bob has a genetic condition that affects his skin. Bobs wife, Eleanor, has normal skin. No one in Eleanors family has ever had the skin condition. Bob and Eleanor have a large family. Of their eleven children, all six of their sons have normal skin, but all five of their daughters have the same skin condition as Bob. Drinking at least 6 liters of water daily a. is recommended by the National Academy of Sciences b. is necessary for healthy persons even if they are not thirsty c. can result in water intoxication d. improves athletic performance a pet store had a special offer this weekend. for every $120 that customers spend, $3 is donated to a pet rescue program. How much do customers have to spend in order to raise $1000 for the pet rescue program? Alan is an adopted child who lives with three siblings, all biological children of his adoptive parents. Alan's math skills are far better than those of his adoptive parents or his adoptive siblings. This provides evidence that _____. Railroad workers' 1894 boycott of trains carrying Pullman cars after Pullman workers, suffering radically reduced wages, joined the American Railway Union (ARU) and union leaders were fired in response. The boycott ended after the U.S. Army fired on strikers and ARU leader Eugene Debs was jailed.