what number does xcix represent?​

Answers

Answer 1

Answer:

Roman Numerals 99

Step-by-step explanation:

XCIX = (C - X) + (X - I) = (100 - 10) + (10 - 1) = 99. Hence, the value of Roman Numerals XCIX is 99.

Hope this helped Have a great day ^^

Answer 2

Answer:

Here is ur answer

Step-by-step explanation:

The roman numeral XCIX is 99 and I is 1.


Related Questions

christina's pizza sells pizza by the slice for lunch. today, they sold 76 slices, including 20 slices of pepperoni pizza. what is the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza?

Answers

The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

Learn more about Experimental probability here

brainly.com/question/30694293

#SPJ4

A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.

Which expression shows the selling price after one monthly price reduction?

$5 + $5(1.50) – $5(0.25)
$5 + ($5)(0.25) – ($5)(1.50)
$5(2.50) – $5(0.25)
($5)(2.50) – ($5)(2.50)(0.25)

Answers

The answer would be number 2

Answer:

D: ($5)(2.50) – ($5)(2.50)(0.25)

Step-by-step explanation:

I got it right on edg2020, now have a good morning/night luvs!

What is the measure of each exterior angle of a regular decagon

Answers

Answer: Hence, a regular decagon has each exterior angle 36∘ and each interior angle as 144∘.

You won two free picks at the video arcade. You pick on ticket from a container that consists of 6 free-game tickets and 4 free-prize tickets. You pick another ticket from a container that consists of three 10 free-tokens tickets and five 20-free-tokens tickets. What is the probability that you picked a free-game ticket and a 20-free-tokens ticket?

Answers

The probability of picking a free-game ticket from the first container is 6/10, or 0.6. The probability of picking a 20-free-tokens ticket from the second container is 5/8, or 0.625.

To find the probability of both events occurring, you multiply the probabilities together:

0.6 x 0.625 = 0.375

So the probability of picking a free-game ticket and a 20-free-tokens ticket is 0.375, or 37.5%.

what is the sum of the measures of the exterior angles of a triangle. if necessary round to the nearest tenth

Answers

The sum of the measures of the exterior angles of any polygon, including a triangle, is always 360 degrees.

We have,

An exterior angle of a polygon is formed by extending one of its sides outward.

In the case of a triangle, when we extend each side, we create three exterior angles.

These exterior angles are located outside the triangle.

The key concept to understand is that the sum of the exterior angles of any polygon is always 360 degrees.

This property holds true for all polygons, regardless of their shape or size.

To visualize this, imagine starting at any vertex of a triangle and moving along its sides while measuring the exterior angles.

As you move around the triangle, the sum of the exterior angles will always add up to 360 degrees.

This is because, at each vertex, the exterior angle supplements the interior angle to form a straight angle of 180 degrees.

In a triangle, each interior angle measures less than 180 degrees.

So, when we extend each side to create the exterior angles, they collectively compensate for the deficiency of the interior angles, resulting in a sum of 360 degrees.

Therefore,

The sum of the measures of the exterior angles of a triangle is always 360 degrees.

This principle holds true for all polygons, making it a fundamental property of geometry.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

assume that a randomly selected subject is given a bone

Answers

The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

Assuming that a randomly selected subject is given a bone, it seems that we need to consider the context and determine the implications or consequences of this action. Without further information, it is difficult to provide a specific explanation or analysis. However, we can discuss some general possibilities and considerations related to giving a bone to a subject.

1. Medical Treatment: Giving a bone could be related to medical treatment or procedures. For example, in orthopedic medicine, bones may be used for grafting or reconstructive surgeries to repair damaged or fractured bones.

2. Nutritional Benefits: Bones, such as beef or chicken bones, can be used to make broths or stocks that are rich in nutrients like collagen, calcium, and other minerals. These bone-based products are often consumed for their potential health benefits.

3. Animal Care: Giving a bone to an animal, particularly dogs, is a common practice. Bones can serve as a form of entertainment or enrichment for pets, satisfying their chewing instincts and providing dental benefits.

4. Symbolic Meaning: In certain cultures or traditions, bones can hold symbolic meanings. They may be used in rituals, ceremonies, or artistic expressions to represent various concepts, such as strength, mortality, or spirituality.It's important to note that the above interpretations are speculative and based on general assumptions. The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

Learn more about Bone here,https://brainly.com/question/412179

#SPJ11

I need help with this problem, does anybody know how to do it?

I need help with this problem, does anybody know how to do it?

Answers

Angle Relationships

Angle relationships, where we're given a diagram containing 2+ parallel lines and a transversal, can tell us a lot about the angles.

Solving the Question

The two angles indicated in the diagram measure 4x + 19 degrees and 6x + 7 degrees.

These two angles form a "Z" pattern, meaning they are on opposite sides of the transversal and opposite sides of the two parallel lines. They are alternate angles.

Alternate angles are always equal. Therefore, we can set up the following equation and solve for x:

\(4x + 19 = 6x + 7\\19 = 2x + 7\\12 = 2x\\x = 6\)

Answer

x = 6

A boy has 800 he spends 160 what fraction of his original money does he have left

Answers

Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

Learn more about fraction

brainly.com/question/10354322

#SPJ4

Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel.

Answers

Answer:

Ages: Unknown.

Step-by-step explanation:

Why? There is no question, so I cannot understand. Please repost the question.

List which rows or columns dominate other rows or columns. Then, remove any dominated strategies in the game. -90 9 - 2 4 - 5 List which rows or columns dominate other rows or columns. Select all that apply, A Column 3 dominates column 1. C. Column 3 dominates column 2. DE Row 1 dominates row 2. GG Column 2 dominates column 1 DL There are no dominated strategies BB Row 2 dominates row 1. D. Column 1 dominates column 2. F. Column 2 dominates column 3. DH. Column 1 dominates column 3.

Answers

The updated table becomes as follows: 9 4 - 5.

Given a table with values,-90 9 - 2 4 - 5, the rows and columns that dominate each other are to be listed and any dominated strategies are to be removed.

The term 'dominance' refers to a scenario in game theory in which one strategy is superior to another. The preferred strategy is always selected over the others when given the option.There are two types of dominance: weak and strong. A player's strategy is said to be weakly dominant if it produces higher payoffs than another strategy for any combination of other players' strategies. It's known as strictly dominant if the payoffs are higher no matter what the other players choose.

Rows and columns dominating each other in the given table are listed below.Row 1 dominates row 2.Column 3 dominates column 1.Column 2 dominates column 1 and column 3.

So, the dominated strategies are:For row, 2 the dominated strategy is - 2 and for column 1 the dominated strategy is -90.

Thus, these dominated strategies are removed. The updated table becomes as follows: 9 4 - 5.

Learn more about game theory here:

https://brainly.com/question/31827926

#SPJ11

For circle h, jn = 3, nk = x, ln = 2, and nm = 6. solve for x. circle h with chords jk and lm intersecting at n inside the circle 9 1 5 4

Answers

The circle is an illustration of intersecting chords.

The value of x is 4

How to determine the value of x?

The given parameters are:

Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6

This means that:

jn * nk = ln * nm

So, we have:

3 * x = 2 * 6

Divide both sides by 3

x = 2 * 2

Evaluate the product

x = 4

Hence, the value of x is 4

Read more about intersecting chords at:

https://brainly.com/question/13950364

Find the value of the specified trig ratio. Be sure to reduce when possible.

Find the value of the specified trig ratio. Be sure to reduce when possible.

Answers

The value of cosC is 8/17.

What is the trigonometric ratio?

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.

In the figure,

Adjacent=CB=16

hypotenuse=AC=34

The formula for the cos function:

cos\(\theta\)=adjacent/hypotenuse

cosC=16/34

divide 16 and 34 by 2 to simplify further

cosC=8/17

To learn more about trigonometric ratios  form the given link

https://brainly.com/question/11967894

#SPJ1

Does anyone know what 8a = 32
AND -10=d-5

Answers

Step-by-step explanation:

8a = 32

a = 4

d - 5 = -10

d = -5

both answered




what’s the answer ??





pls help!!


whats the answer ??pls help!!

Answers

can u plz take a more clearer photo of the problem and also try to elaborate

Which ordered pairs are solutions to the equation y=6x−1?

a. (-1,7)
b.(,3,17)
c(2,−13)
d(−3,−17)
e(−2,−13)
f (1,7)

Answers

B is the answer to your question. have a nice day/evening

Kiran tiene 27 monedas de cinco centavos y veinticinco centavos en el bolsillo, con un valor total de $2,75. a. Escribe un sistema de ecuaciones para representar las relaciones entre la cantidad de monedas de cinco centavos n, la cantidad de monedas de veinticinco centavos q y la cantidad en dólares en esta situación. continuación​

Answers

The answer of word problem using equation is the number of Nickel =  20 and number of Quarters = 7

What are Word Problems ?

A word problem is a type of mathematics exercise where the majority of the issue's context is supplied in spoken language as opposed to mathematical notation.

A math word problem is a question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."

In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

The total amount $2.75  = 2.75*100 = 275 cents is there in Kiran's Pocket.

Total number of coins in total = 27

1 nickel = 5 cents

1 quarter = 25 cents

The number of nickel is n and number of Quarters is q.

So, 5n + 25q = 275

The equation of the number of coins in the pocket is

n + q = 27

solving the two equations

5n + 25q - 5n - 5q = 275 - 135

20q = 140

q = 7

The number of Nickel = 27 - q = 27 - 7 = 20

The number of Quarters = 7

To learn more about Equations refer to :

brainly.com/question/18736733

#SPJ1

search Which table of values corresponds to the graph below? On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6, 2). A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 3, 0, 3, 6. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 1, 0, 1, 6. Mark this and return

Answers

The table of values that belong to the proportional relationship y = 1/3x is given by:

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the non-trivial points are (3,1) and (6,2), hence the constant is given by:

k = 1/3 = 2/6 = 1/3.

Which means that the relationship is:

y = 1/3.

The table in which all the values of y are a third of the values of x is:

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, 0, 3, 6. Column 2 is labeled y with entries negative 1, 0, 1, 2.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Recall that a five-card hand drawn from a standard 52-card deck is a full house. If it consists of three of one kind (A, K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2) and a pair of another kind. A five-card hand is drawn all at once, so order doesn't matter, but is left face down. Two cards are then flipped over, revealing that one is 2hearts and other 2 clovers. Knowing this, what is the probability that the hand is a full house? Round to 4 decimal points

is the answer 0.019?

Answers

The required probability that the hand is a full house is; 0.00144 or 0.144%.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Consider the provided information we have Five cards are drawn from an ordinary deck of 52 playing cards.

Thus full house is a hand that consists of two of one kind and three of another kind.

The total number of ways to draw 5 cards are 78 was.

Now we want two of one kind and three of another.

Therefore, the hand has the pattern AAABB, where A and B are from distinct kinds. The number of such hands are:

3744/25989611

= 0.00144

Hence, the required probability is 0.00144 or 0.144%.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ1

The volume of the cone is 1621 yd3. What
is the radius of the cone? height=6

Answers

Answer:

If height is in meters: 14044.4876 is the radius

If height is in kilometer: 444.1257 is the radius

Step-by-step explanation:

Which statements are true
Select 2 correct answers

Which statements are true Select 2 correct answers

Answers

A and c are the correct answers

Answer:

The statements that are true are:

The square root of a positive number less than one is less than the number

The square root of a positive number less that 1 is between 0 and 1

Step-by-step explanation:

Hope this helps!!!

You watched a movie that lasted 2 2 /3 hours and then went out to eat for 2 3 /4 hours. How many hours in all did the movie and dinner last? If the movie started at 3:00, what time did you finish eating?

Answers

Answer:

Step-by-step explanation:

Add together:  2 2/3 hrs and 2 3/4 hrs:

First determine the LCD of these two fractions.  The LCD here is 3*4 = 12.

Rewrite the given times using this LCD:

2 8/12 + 2 9/12

Adding 2 and 2 results in 4; adding 8/12 and 9/12 results in 17/12, or 1 5/12.

The final result is 4 + 1 5/12, or 5 5/12.

The movie and dinner together lasted 5 5/12 hrs.

If movie and dinner started at 3:00, dinner would have finished at

3:00 + 5:5/12, or

8:25 p.m. (since 5:5/12 is the same as 5:25).

Finished eating at 8:25 p.m.

Answer:

Finished eating at 8:25 and both lasted 5:25 hours in total

Step-by-step explanation:

Gimme all 3 answers and u get brainliest

Gimme all 3 answers and u get brainliest

Answers

Answer:

K. 2.36666666666666667

L. 17.281818181818181818181818181818

M. 69.116

N. 38.489616

Step-by-step explanation:

Brainliest Please!

9. The regular price of an item at a store is p
dollars. The item is on sale for 20% off the regular
price. Some of the expressions shown below
represent the sale price, in dollars, of the item.
Expression A: 0.2p
Expression B: 0.8p
Expression C: 1 -0.2p
Expression D:p -0.2p
Which two expressions each represent the sal
price of the item?
A Expression A and Expression E
B Expression B and Expression C
C Expression B and Expression D
D Expression C and Expression D

Answers

Answer: C: Expression B and D

Step-by-step explanation:

Say the item is $100. 20% of 100 is equal to 100 (20/100)

When you simplify, it equals 20. So 20% of 100 is 20. This $20 is the amount of discount you receive.

So you have to subtract $20 from the $100 to find the sale price. The sale price is $80.

Now plug in 100 for p in each equation. The equation that equals 80 is the answer.

Only equation B and D equals 80 when 100 is plugged in.

please help, I will really appricaite it :)

please help, I will really appricaite it :)

Answers

Step-by-step explanation:

uploading the picture is an excellent way to make sure we get the original problem definition.

but I just answered this (even without the picture). so, you need it again ?

Solve the differential equation (Show your work). \[ 7 x^{6} \cos y d x-d y=0 \]

Answers

The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

To learn more about differential equations visit:

brainly.com/question/25731911

#SPJ11

The midpoint of AB is M(5, -5). If the coordinates of A are (3, -6), what are the
coordinates of B?

Answers

Answer:

(7,-4)

Step-by-step explanation:

let b be x2,y2

then apply mid point formula

x=(x1+x2)/2

y=(y1+y2)/2

Answer:

the coordinates of B is (7,-4)

A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?

Answers

Answer:

18 red and 6 other color

Step-by-step explanation:

A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?

3/4 × 24 = red ornaments

= 18 red

24 - 18 = 6 other color

Ponsider the indefinite integral ∫cos13(6t)sin(6t)dt. The most appropriate substitution to simplify this integral is u= Then du= dt, sosin(6t)dt=cdu, where the constant c= After making the substitution we obtain the integral ∫f(u)du, where f(u)= This last integral, when evaluated, is After substituting back for u we obtain the following final form of the answer: ∫cos13(6t)sin(6t)dt=

Answers

In order to simplify the indefinite integral ∫cos^13(6t)sin(6t)dt, the most appropriate substitution is u = cos(6t). With this substitution, du = -6sin(6t)dt, and we can rewrite sin(6t)dt as (-1/6)du.

After making these substitutions, the integral becomes ∫(u^13)(-1/6)du. The last integral can be evaluated by applying the power rule for integration. Using the power rule, we add 1 to the exponent of u, and then divide by the new exponent. Therefore, we have (∫u^13du)/(-6) = -1/6 * (1/14)u^14.

Substituting back for u, we obtain the final form of the answer: ∫cos^13(6t)sin(6t)dt = -1/6 * (1/14)cos^14(6t) + C, where C is the constant of integration.

In summary, by making the appropriate substitution and applying the power rule, we simplify the integral and express the final result as -1/6 * (1/14)cos^14(6t) + C.

learn more about indefinite integral here:

brainly.com/question/32282019

#SPJ11

Colin's puppy, Squeeker, weighed 1.5 pounds at his first vet visit. When Squeeker was a year old, he weighed 7.5 pounds. What percent did Squeeker's weight increase between the two visits? *

Answers

Squeeker initial weight is 1.5

After a year, Squeeker new weight is 7.5

\(\begin{gathered} \text{percentage increase =}\frac{change\text{ in weight }}{\text{ intial weight}}\text{ }\times\text{ 100 \%} \\ \text{ change in weight= new weight - initial weight = 7.5 - 1.5 =6.0} \end{gathered}\)\(\begin{gathered} \text{percentage increase = }\frac{6.0}{1.5}\text{ }\times\text{ 100 \%} \\ =\text{ 4}\times\text{ 100\% = 400\%} \end{gathered}\)

HELP PLZ ! Solve the system of equations using substitution show work plz

HELP PLZ ! Solve the system of equations using substitution show work plz

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

(-1, -5)

▹ Step-by-Step Explanation

y = 3x - 2

x - y =4

x - (3x - 2) = 4

x = -1

y = 3(-1) - 2

y = -5

(x, y) = (-1, -5)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Other Questions
Parallel lines cut by a transversal describe the four protein chains that make up the immunoglobulin monomer, and draw a typicalmonomer immunoglobulin in the box below. label the variable regions and constant regions what are the different literary periods in philippine literature? Which characteristic do valence electrons indicate about reactions between atoms?A.bond typeB.electronegativity differenceC.bond numberD.absolute electronegativity which two different terms best describe schachter and singer's theory of emotion? arousal and physiology behavior and genetics arousal and context nature and nurture Let B be the basis of 3 consisting of the Hermite polynomials1, 2t, 2+4t2, and 12t+8t3; and let p(t)=5+16t2+8t3. Find thecoordinate vector of p relative to B. a. The number of people initially affected is.b. how many people were ill by the end of the fourth weekc. What is the limiting size of the population of becomes ill? How can food be breaked into pieces Hamburger Heaven is having a lunch special where customers buy one 1/4 pound cheeseburger and get one free. If they set aside 114 2/3 pounds of meat, how many -pound cheeseburgers can they make? In this problem, we are going to use what we have done in the previous problem sets to prove the Lagrange's Remainder Theorem. From PS6 Q2, we have proved the following: Let a R and n E N. Let f be a Cn+1 function on I = [c, d] with c < d containing the point a. Then for each x EI, f"(a) f(x) = f(a) + f'(a)(x a) + (x a)+ ... + f(n)(a) (1 = - a)" + Rn(2) 2 n! where the remainder Rn(x) is given by 1 Rn(2) nSie (x t)" f(n+1)(t) dt We will use this conclusion to prove 38 (a, x) such that Rn(x) = f(n+1) (E) (2 (n+1)! :- a)(n+1) (a) First, we need to prove the following extended MVT for integrals: Let ai, a2 R and ai < a2. If h and g are continuous on (a1, a2] and g(x) > 0 for all x (a1, a2), then there exists be [a1, a2] such that 02 ()(2) dr = n(o) " = g(x) dx ai Hint: to prove this, you may need to use PS5 Q4(3), EVT and IVT. (b) Use (a) and PS6 Q2 to prove Lagrange's Remainder Theorem. A sphere is inside a cube.The diameter of the sphere is equal to half the edge length of the cube. What portion of the volume of the cube is taken up by the sphere? What are sites that can write an essay for me for free and not copied bc my stuff is do tommorow The chance of contracting strep throat when coming into contact with an infected person is estimated as 0.15. Suppose the four children of a family come into contact with an infected person. Conduct a simulation to answer the following questions.Part A Define your simulation, and use the random number tablebelow to conduct 15 trials. Clearly identify each trial on the table. Part B: What is the probability of one of the children getting thedisease? Part C: What is the probability of two of the children getting thedisease? Part D: What is the probability of at least two of the childrengetting the disease? Part E: What is the probability of none of the children getting thedisease? I WILL MARK BRAINLEST AND GIVE 100 POINTS! PLZ HELP ME IM STOOPID There are currently 3000 moose in the state of Colorado. Their population is increasing at a rate of 2% per year. How many years will it be before there are 6000 moose in the state of Colorado. Round your answer to the nearest year. Which transition best fills in the blank?Read the excerpt from a student's essay.Eventually, Rainsford tires from the chase. He findshimself at the edge of the island, high on a cliff, lookingout at the sea below. Behind him, Zaroff is quicklyapproaching with the hounds.Rainsfordknows he has run out of choices and is trapped.Rainsford, however, has not reconciled himself with theidea of being shot by Zaroff or torn to pieces by hishounds. Before Zaroff reaches him, Rainsford leapsinto the sea.O ClearlyO For instanceIn additionO Then Why is it important to have only one independent variable and to control the other variables when performing science experiments Perform the indicated operation.6 1/3 + 8 3/4 A 14 1/4B 15 1/12C 13 1/4D 15 3/7 i need to write the slope-intercept form of the equation of each line What is the next number in the sequence: 3, 9, 21, 45, 93,...?