THis is on Pythagorean Theorem

THis Is On Pythagorean Theorem

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

a² + b² = c²

x² + 6² = 10²

x² + 36 = 100

x² = 100 - 36

x² = 64

[tex]\sqrt{x^2} =\sqrt{64}[/tex]

x = 8

Answer 2

Answer:

x=8

Step-by-step explanation:

6^2 = 36 = 100-36 = 64 square root of 64= 8


Related Questions

(b) What should be added to the sum of 18x + 19y and 13xy + 12x to get 17xy-11y​

Answers

Answer:

4xy - 30y - 30x

Step-by-step explanation:

Lets say a=answer

Solve for a:

(18x + 19y) + (13xy + 12x) + a = 17xy-11y​

18x + 19y + 13xy + 12x + a = 17xy-11y​

18x + 12x + 19y + 13xy + a = 17xy-11y​

30x + 19y + 13xy + a = 17xy-11y​

30x + 19y-19y + 13xy + a = 17xy-11y​ - 19y  ==> subtract 19y on both sides

30x + 13xy + a = 17xy-30y

30x + 13xy-13xy + a = 17xy-13xy-30y ==> subtract 13xy on both sides to

                                                                isolate a

30x + a = 4xy-30y

30x - 30x = 4xy - 30y - 30x ==> subtract 30x on both sides to isolate a

a = 4xy - 30y - 30x  ==> simplify

buddy eats 3 cotton balls out of the 48 that are in the jar. what percentage has buddy eaten?

Answers

Answer: 6.25%

Step-by-step explanation:

You can set up a proportion:

[tex]\frac{3}{48}=\frac{x}{100}[/tex]

100 x 3 = 300

300/48 = 6.25

a survey of adults found that 7% say thier favorite sprt is auto racing out of 500 adults what is the probability that the number of people who say auto racing is their favorite sport is a most 41

Answers

Answer:

Step-by-step explanation:

Which statement about the figure MUST be true?

Answers

Answer:

The figure is an an isosceles triangle

30 POINTS The width of a rectangle is 4 inches shorter than its length. If the length of the rectangle is 7 inches, write and solve an addaition equation to find the width of the rectangle

Answers

Let w be the width of the rectangle. We can write an addition equation to represent the relationship between the width and length of the rectangle, as follows: w + 4 = 7

To find the width of the rectangle, we can solve this equation by adding 4 to both sides of the equation, which gives us: w + 4 + 4 = 7 + 4
w = 11

Therefore, the width of the rectangle is 11 inches.

An object has a mass of 10.0 g and a volume of 50.0 mL. What is the density of that object?

5 ml/g
0.2 g/mL
500 g/mL​

Answers

Answer:

0.2 g/mL

Step-by-step explanation:

The calculation for density is density=mass/volume.
With a mass of 10g and a volume of 50mL, you divide them to get 0.2

Mr. Jones’ doctor told him that he should not be active until he had 50 mg or less of the medicine left in his body. How long did it take for Mr. Jones to be able to be active? Give your answer to the nearest tenth (0.1) of an hour.

Answers

Without more information, it is not possible to determine how long it took for Mr. Jones to have 50 mg or less of the medicine left in his body. Factors such as the type of medicine, the dosage Mr. Jones was taking, and his metabolism can all affect the amount of time it takes for the medicine to be metabolized and eliminated from his body. It is important for Mr. Jones to follow the instructions given to him by his doctor and to consult with his doctor if he has any questions or concerns.

A piece of art is in the shape of a rectangular pyramid like the figure shown.
How much glass is needed to cover the entire pyramid?

A: 102.53 ft2
B: 144.53 ft2
C: 198.06 ft2
D: 289.06 ft2

Answers

The area of the given pyramid will be 144.53 ft² thus option (B) is correct.

What is a pyramid?

With a base that is a polygon and sides that are three or more triangles that converge at the top.

A pyramid is a three-dimensional object in which three triangles intersect in such a way that the base side becomes a triangle.

As per the given pyramid,

Total surface area = 2 x(1/2)6 x 8 + 2 x (1/2)7 x 7.79 + 7 x 6

Total surface area = 24 + 27.265 + 42 = 144.53 ft²

Hence "The supplied pyramid will have a surface area of 144.53 feet²".

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Clarence made a block of scented soap which weighed 2/3 of a pound. He divided the soap into 2
equal pieces. How much did each piece of soap weigh?

Answers

Three sets of two-thirds can be created since each whole produces a two-thirds and one half of another two-thirds.

How much the each piece of soap weigh ?

The number 0.666 is 2/3 in decimal notation.Consequently, there are a total of 5 components to distribute. (2+3=5) Consequently, you divide the value you want to share by five.Consequently, there are a total of 5 components to distribute. 2 + 3 = 5, therefore you divide the value you want to distribute by 5.

The two most frequent splits are 2-for-1 and 3-for-1, meaning that a stockholder receives two or three shares, respectively, for each share they currently own. When a corporation divides the number of shares that stockholders own, the market price rises in proportion.

Sixteen twenty-fourths (16/24) is a fraction that is equal to two thirds (2/3).

He cut the soap into two equal pieces, making it weigh 0.333333333 pounds.

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What is a dominate number?

Answers

The (lower) domination number of a graph is the minimum size of a dominating set of vertices in , i.e., the size of a minimum dominating set. This is equivalent to the smallest size of a minimal dominating set since every minimum dominating set is also minimal.

DUE SOON! PLEASE HELP!

Answers

Answer:

A or C, but A is my guess.

Step-by-step explanation:

Answer:

A.) The sum will be an even integer.

Step-by-step explanation:

The conjecture that can be made about the sum of two even integers and one odd integer is that the sum will be an even integer. This is because even integers are numbers that are divisible by 2, and odd integers are numbers that are not divisible by 2.

For example, consider the sum of the even integer 6 and the odd integer 7. The sum of these two numbers is [tex]6 + 7 = 13[/tex], which is an odd integer. However, if we add another even integer to the sum, such as 4, the resulting sum is [tex]13 + 4 = 17[/tex], which is an even integer. This shows that the sum of two even integers and one odd integer is always an even integer.

This conjecture can be proven using mathematical induction. We can start by showing that the sum of any two even integers and one odd integer is always an even integer. Then, we can assume that the sum of any n even integers and one odd integer is also an even integer. Finally, we can show that the sum of n+1 even integers and one odd integer is also an even integer, using the assumption that the sum of n even integers and one odd integer is even. This will prove that the conjecture is always true.

which of these graphs does not show a valid probability distribution? choose 1 answer: choose 1 answer:

Answers

The graph that does not show a valid probability distribution is option A.

Probability distribution refers to the mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment. It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events. In order to determine if a probability distribution is valid, there are two criteria that must be checked. First determine whether each probability is greater than or equal to 0 and less than or equal to 1. Secondly, determine whether the sum of all of the probabilities equals 1. If both the conditions are true, then the probability distribution is valid, otherwise, the probability distribution is not valid. Based on the provided graphs, the first condition is met for all but the second condition is untrue for option A as the sum of probability is less than 1. Hence it is not a valid probability distribution.

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May I have help on question 3 please I’ll give you brainliest

Answers

Answer:

B

Step-by-step explanation:

Dont think you need this

1
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
The diagram represents the design of a triangular-shaped photo frame. Match the segments and angles to the descriptions.
B
58°
82°
ZC
ZB
AC
C
ZA
AB
shortest side
longest side
smallest angle
BC

Answers

The description and measure of the segments and angles of the triangular-shaped photo frame, found using the triangle inequality theorem are;

Shortest side → ABLongest side → BCSmallest angle → ∠CLargest angle → ∠A

What is the triangle inequality theorem?

According to a triangle inequality theorem, the measure of the lengths of sides opposite angles of different measure, are also different and the the longest side of a triangle is opposite the largest angle of the triangle.

The interior angles of the photo frame are;'

∠B = 58°, ∠A = 82°

The angle sum property of a triangle indicates that we get the angle ∠C as follows;

∠C = 180° - 58° - 82° = 40°

The triangle inequality theorem indicates that the measure of the angles opposite sides that have different lengths are also different, such that the larger angle is opposite the larger side.

According to the triangle inequality theorem, we get;

The shortest side is opposite the smallest angle, which is the angle ∠C = 40°

The side opposite ∠C is AB,  therefore, the shortest side is AB

The longest side is opposite the largest angle, which is angle ∠A = 82°.

The side opposite the angle ∠A is BC, therefore, the longest side is BC

The smallest angle is the angle ∠C = 40°

The largest angle is the angle ∠A = 82°

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If a train is accelerating at 30m/s after it takes off from the train station and travels for 60 seconds, what was its final velocity?

Answers

The final velocity of the train is 30m/s.

What is acceleration?

The rate at which an object's velocity with respect to time changes is referred to as acceleration. When an object's velocity changes, it is said to have or be accelerating.

The rate of change in velocity over time is another name for acceleration. The magnitude of an acceleration vector indicates how much the velocity will change, while the vector's direction indicates how the velocity will change—whether the speed is rising or falling, the vector's direction is changing, or some combination of the three.

Given, initial velocity = 0 m/s (as the train starts from rest)

          time = 60 seconds

Acceleration = v - u / t = 30 - 0/ 60 =0.5 m/s square

We know,

v = u + at

v = 0 + (0.5 x 60)v = 30 m/s

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There are three (3) different sections to sit at a stadium.The number if people who can sit in each section is described below.

~ Red section seats 200 people
~ Blue section seats 20 fewer people than the red section
~ Green section seats 2 times as many people as the blue section


What is the total number of people who can sit in the stadium when it is full?
How did you get an answer?

Answers

Answer:

Therefore, when the stadium is full, a total of 740 people can sit in the three sections.

Step-by-step explanation:

The red section seats 200 people.

The blue section seats 200 - 20 = <<200-20=180>>180 people.

The green section seats 180 * 2 = <<180*2=360>>360 people.

The total number of people who can sit in the stadium is 200 + 180 + 360 = <<200+180+360=740>>740 people.

Step-by-step explanation:

this is a college level question ?

and you don't know how to do this (because doing this yourself would have been much faster than posting the question and looking for the answer here) ?

oh my ...

red = 200

blue = red - 20 = 200 - 20 = 180

green = 2×blue = 2×180 = 360

total number = 200 + 180 + 360 = 740

A gamer is observing her acore, y, as she plays a video game. She currently has 4,200 points and is gaining 250 points for every minute, x, she plays.

Which of the following equations can be used to describe this linear relationship

A. y = 250x - 4,200
B. y = 250x + 4,200
C. y = 4,200x - 250
D. y = 4,200x + 250

Answers

Answer is B - y=250x+4,200 , I know this because we’re adding the 250 to the 4,200 every earning.

PLEASE HELP
Shalane wants to open a snow cone shop in Panama City, Florida, but does not know if she should keep her shop open all year round, or just for a portion of the year. She decides to collect data on the relationship between the temperature outside and snow cone sales in Panama City in order to decide if her shop should remain open in the winter months. A scatter plot with a line of best fit that was generated with technology is shown.

Answers

The equation for the line of best fit in the slope and the intercept form is given as y₁ = 1.91944X₁ - 65.8518

What is the line of best fit?

A straight line that minimizes the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

y₁ = mX₁ + b

we have m = 1.91944

b = -65.8518

The question requires us to fill in the values that we have into the corresponding equation.

We will have

y₁ = 1.91944X₁ + (-65.8518)

y₁ = 1.91944X₁ -65.8518

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NO LINKS!!!
Assume that the following statement, S_k, is true:
A factor of (2^(2k-1) + 3^(2k-1)))is 5.
Show that for each integer k ≥ 1, if S_k is true, then S_(k+1) is true.
2^2(k + 1) - 1)) + 3^2(k + 1) - 1)) = 2^(2k + ____) - 1)) + 3^2k + ___) - 1))
= 2^(2k - 1) * 2^(___) + 3^(2k - 1) * 3^(___)
= ______ * 2^(2k-1) + ______ * 3^(2k-1)
= (2^(2k-1) + 3^(2k-1)) + (2^(2k-1) + 3^(2k-1)) + (2^(2k-1) + (3^(2k-1) + ______*3^(2k-1)

Hence, S_k+1 is true or false, which completes the inductive step and the proof by the mathematical induction.

Answers

It is assumed the statement is true for [tex]S_k[/tex]:

A factor of [tex]2^{2k-1}+3^{2k-1}[/tex] is 5.

Show that [tex]S_{k+1}[/tex] is also divisible by 5:

[tex]2^{2(k+1)-1}+3^{2(k+1)-1}=[/tex][tex]2^{2k+2-1}+3^{2k+2-1}=[/tex][tex]2^{(2k-1)+2}+3^{(2k-1)+2}=[/tex][tex]2^{2k-1}*2^2+3^{2k-1}*3^2=[/tex][tex]4*2^{2k-1}+9*3^{2k-1}=[/tex][tex]4*2^{2k-1}+4*3^{2k-1}+5*3^{2k-1}=[/tex][tex]4(2^{2k-1}+3^{2k-1})+5*3^{2k-1}[/tex]

The first part is divisible by 5 as we assumed in the beginning and the second part has a factor of 5 so the sum is divisible by 5.

Hence it makes [tex]S_{k+1}[/tex] true, so the proof is complete.

Change the given form into the decimal form. 7 1/4 %

Answers

We know that,

With the help of example,

5/3

Numerator= number of equal parts of remaining

Denominator=total number of equal parts.

According to question.

Given data in the question,

Multiply the whole number by the denominator.

7×4=28………………. (1)

Adding 1 in numerator

28+1=29

Divide by 4 in denominator

29 divided by 4

7.25

the decimal form of 7 1/4% is 7.25

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After changing 7 1/4 percent into decimal we get, 7.25.

What is decimal?

In mathematics, decimals can be used as an alternative to fractions. You can express a fraction in decimal form, such as 0.5, rather than writing it out as 1/2, with zero in the place of the one and five in the place of the ten. Decimus, which means tenth in Latin, is the root of the word decimal. The decimal system is also known as a base-10 system because it uses 10 as its fundamental unit.

Decimal refers to any number in the decimal system. They are employed in the expression of both whole numbers and fractions. A "." (known as a decimal point) is inserted to demarcate the whole number from the fraction. The space between the digit in the ones place and the digit in the tenth place is known as the decimal point, and it serves as the separator between them.

Given that 7 1/4 %

in proper form it will be written as

=(7×4)+1 /4

= 29/4

now dividing 29 by 4 we get

7.25

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Nick owns 500 shares in a manufacturing company. The company pays a dividend of $1.05 per share. The shares currently trade for $15.00 in the stock market. What is the current dividend yield on Nick's investment?

Answers

See if you own 500 go she manufacturing company they company will pay 1000 because if you add 500 and 500 it gets the answer

let days-on-the-market be the dependent variable and price be the independent variable. b-1. determine the regression equation

Answers

To determine the regression equation, we need to fit a line to the data that best describes the relationship between the dependent variable and the independent variable. The equation of the line is typically expressed in the form:

y = a + bx

where y is the dependent variable, x is the independent variable, a is the y-intercept (the point at which the line crosses the y-axis), and b is the slope of the line (the rate of change of y with respect to x).

If we determine that a = 10 and b = 0.5, the regression equation would be:

Days-on-the-market = 10 + 0.5 * price

This equation describes the relationship between the dependent variable (days-on-the-market) and the independent variable (price). It tells us that for every unit increase in price, the number of days on the market is expected to increase by 0.5.

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Based on the data shown in the graph, how many hours will it take the shipping company to pack 180 boxes

Answers

Step-by-step explanation:

I need the graph but it could be 216

2. JOY leather, a manufacturer of leather Products, makes three types of belts A, B and C which are processed on three machines M1, M2 and M3. Belt A requires 2 hours on machine (M1) and 3 hours on machine (M2) and 2 hours on machine (M3). Belt B requires 3 hours on machine (M1), 2 hours on machine (M2) and 2 hour on machine (M3) and Belt C requires 5 hours on machine (M2) and 4 hours on machine (M3). There are 8 hours of time per day available on machine M1, 10 hours of time per day available on machine M2 and 15 hours of time per day available on machine M3. The profit gained from belt A is birr 3.00 per unit, from Belt B is birr 5.00 per unit, from belt C is birr 4.00 per unit. What should be the daily production of each type of belt so that the profit is maximum?
a) Formulate the problem as LPM
b) Solve the LPM using simplex algorithm.
c) Interpret the shadow prices

Answers

The shadow price of a constraint, the change in the objective function value for a unit change in (RHS) value of the constraint, with all other variables held constant.

What are constraints?

A constraint is a condition of an optimization problem that should be satisfied the condition.

We can formulate this problem as a linear programming model (LPM):

Suppose X1 be the number of belt A produced per day, X2 be the number of belt B produced per day and X3 be the number of belt C produced per day

The objective function is to maximize the profit;

3X1 + 5X2 + 4X3.

The constraints are as :

The time spent on machine M1 must be less than or equal to 8 hours per day so we get;

2X1 + 3X2 <= 8

The time spent on machine M2 must be less than or equal to 10 hours per day so we get;

3X1 + 2X2 + 5X3 <= 10

The time spent on machine M3 must be less than or equal to 15 hours per day so we get

2X1 + 2X2 + 4X3 <= 15

Thus number of belts produced must be positive:

X1, X2, X3 >= 0

To solve this LPM using the simplex algorithm,

Also the objective function is to minimize the cost, and all constraints are in the form of "less than or equal to" a certain value.

The pivot row is the row that corresponds to the smallest positive ratio between (RHS) value and the corresponding pivot column element the constraint 2X1 + 3X2 ≤ 8.

Now Interpret the shadow prices.

The shadow price of a constraint is the change in the objective function value for a unit change in (RHS) value of the constraint, with all other variables held constant.

Here the value of the constraints in the LPM and how they contribute to the optimal solution.

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the line of best fit is given as y = 9 - 3x. Find the value of y when x = -3.

Answers

Answer:

y = 18

Step-by-step explanation:

Substitute the given x-value into the line of best fit

[tex]y = 9-3x[/tex]

[tex]y = 9-3(-3)[/tex]

[tex]y = 9 +9[/tex]

[tex]y = 18[/tex]

Answer:18

Step-by-step explanation:

9-3(-3)=18

The probability of winning a certain game is 0.5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are

n=10, n=20, and n=100,

which value of n should the player choose in order to maximize the probability of winning a prize?

a. n=10 only
b. n =20 only
c. n = 100 only
d. n =10 or n =20 only; the probabilities are the same.
e. n=10 or n=20 or n=100 ; the probabilities are the same.

Answers

The probability of winning a prize remains the same for,

e. n = 10 or n=20 or n = 100; the probabilities are the same.

What is the binomial theorem on probability?

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment).

From the information we get,

p = 0.5, So, q = 1 - 0.5 = 0.5.

If 70% of 'n' games are won then 30% of n games must be lost.

Let n = 10.

∴ [tex]P(x = 3) = ^{10}C_3p^7q^3[/tex].

[tex]P(x = 3) = ^{10}C_3(0.5)^7(0.5)^3[/tex].

P(x = 3) = 120×0.0078×0.125.

P(x = 3) = 0.117 Or 11.7% chance.

Now, Changing the value as all the 'n's are multiple of 10 and we'll have the same probability.

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A rectangle has a width w inches and a height h inches where the width is twice the height

Answers

The expression for  the rate of change of A with respect to t is dA/dt = 4h * dh/dt in²/s. Option D

How to determine the value

The formula for calculating the area of a rectangle is expressed as:

A = wh

Given that;

h represents the variable for the heightw represents the variable for the width

From the information given, we have that;

If the width is twice the height

This is represented as;

w = 2h

Then, substitute the values into the formula for area of a rectangle

A = (2h)h

A = 2h²

Then, the rate of change of area will be expressed as;

dA/dt

Take the differentiation

dA/dt = dA/dh × dh/dt

dA/dt = 4h * dh/dt in²/s

Hence, the rate is dA/dt = 4h * dh/dt in²/s

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The complete question:

A rectangle has width w inches and height h inches, where the width is twice the height. Both w and h are functions of time t, measured in seconds. If A represents the area of the rectangle, which of the following gives the rate of change of A with respect to t ?

A. dA/dt=4h in/sec

B. dA/dt=3h dh/dt in^2/sec

C. dA/dt=4h dh/dt in/sec

D. dA/dt=4h dh/dt in^2/sec

Find the y-intercept of the line: 2x−5y+7=0

Answers

Answer:

Below

Step-by-step explanation:

Arrange the given equation into y = mx + b form of a line

       'b' is the y-axis intercept

2x-5y+7 = 0

5y = 2x+7

y = 2/5 x + 7/5

Answer:

(0, 7/5)

Step-by-step explanation:

What are the values of } a and b ?
a=
b=

Answers

The values of a and b in the given triangle are;

a = 59° and b = 6

What is the value of the missing angle?

From the given image, it is clear that in Triangle YVW that we have;

YV = WV

Now, a triangle that has two sides equal  is referred to as an Isosceles triangle which means that the two base angles are equal. Thus;

∠Y = ∠W = 31°

Now, the sum of angles in a triangle is 180° and as such;

∠YVW = 180 - 2(31)

∠YVW = 118°

Since VX is perpendicular to YW and so;

a = 180 - (90 + 31)

a = 59°

Thus; ∠WVX = 59°

This means that WX = YX = 6

Thus, b = 6

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Which of the following are factor pairs for 54?select all that apply.

Answers

Answer:

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Step-by-step explanation:

hope this helped:)

brainliest for the brains........................

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Here, we have,

The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.

Factors of 54: 1,2,3,6,9,18,27 and 54

Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.

To find the factors of a number, 54, we will use the factorization method.

To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.

54 ÷ 1 = 54

54 ÷ 2 = 27

54 ÷ 3 = 18

54 ÷ 6 = 9

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Which phrase best describes the association between variables X and Y?1. Perfect negative association2. Moderate negative association 3. Perfect positive association4. Moderate positive association HELP PLS ILL MARK BRAINLISTSolve for the zeros of the equation by graphing and creating a table. Using Cramers Rule, what is the value of x in the solution to the system of linear equations below?2/5X + 1/4Y = 9/202/3X + 5/12 = 3/4A)X = 0B)X = 1C)There are no solutions to the system.D)There are infinite solutions to the system. Which of the following is NOT true about Genghis Khan? It is believed he had thousands of children. He used terror tactics in his conquests. He conquered all of China. He united the Mongolian clans. mary said," i cannot come ." Which of these is a difference between DNA and RNA?DNA is found in the nucleus; RNA is never found in the nucleus.DNA consists of five different nucleotides; RNA consists of four different nucleotides.RNA is double-stranded; DNA is single-stranded.DNA contains thymine; RNA contains uracil.In DNA, adenine pairs with guanine; in RNA, adenine pairs with thymine. Using the commutative property, fill in the information necessary to make this a true statement. Solve: 5 8 = 1. What is the solution set for -4x - 10 2 ? 2. What is the value of the expression -9 x 2.2 ?Please help, thank you. If you know one of them at least. A company has a popular gaming platform running on AWS. The application is sensitive to latency because latency can impact the user experience and introduce unfair advantages to some players. The application is deployed in every AWS Region it runs on Amazon EC2 instances that are part of Auto Scaling groups configured behind Application Load Balancers (ALBs) A solutions architect needs to implement a mechanism to monitor the health of the application and redirect traffic to healthy endpoints.Which solution meets these requirements?A . Configure an accelerator in AWS Global Accelerator Add a listener for the port that the application listens on. and attach it to a Regional endpoint in each Region Add the ALB as the endpointB . Create an Amazon CloudFront distribution and specify the ALB as the origin server. Configure the cache behavior to use origin cache headers Use AWS Lambda functions to optimize the trafficC . Create an Amazon CloudFront distribution and specify Amazon S3 as the origin server. Configure the cache behavior to use origin cache headers. Use AWS Lambda functions to optimize the trafficD . Configure an Amazon DynamoDB database to serve as the data store for the application Create a DynamoDB Accelerator (DAX) cluster to act as the in-memory cache for DynamoDB hosting the application data. QUESTION 2In which relationship do both species benefit?A.MutualismB.CommensalismC.Parasitism What is the scale factor in the dilation?(please help!)A. 1/6B. 1/3C. 3D. 6 What is most likely the author's purpose for writing "The Earthquake"? 87+25[tex]12 + 10 [/tex] Which figurative language does the author use in the third sentence to emphasize the difference between the hummingbird and the heron?A. SimileB. AnimationC. Metaphor D. Onomatopoeia Listen to the piece of music . Identify and write a brief report on the type of composition.its from edmentum in the Baroque period thing please! help me!!!! an actual answer please!! this is COLLEGE level!! Describe what Neptune needs to sustain life. Describe the current conditions of Neptune. How is it there? What is the final recommendation for the humans living on Neptune? Explain. Kamal, Kamala, Krishna invert a sum of RS= 30,000 on a business in the ratio 2 : 3 : 5. Find the each of their investment. Plz help! (due tonight)How did the United States respond to Jewish refugees following Kristallnacht? Find the perimeter of the following triangle.Write your answer as a mixed number in simplest form.Be sure to include the correct unit in your answer.1/7/18 yd5/12 yd1/2/9 yd What was the effect of government propaganda on nearly every nation at war in 1914?