The hollow sphere, in which the circus motorcyclist performs his stunts, has a diameter of 7 m. Find the area available to the motorcyclist for riding.

Answers

Answer 1

[tex]\huge\color{red} {\boxed{\tt{A}}} \color{blue} {\boxed{\tt{N}}} \color{hotpink}{\boxed{\tt{S}}} \color{blueviolet}{\boxed{\tt{W}}} \color{fuchsia}{\boxed{\tt{E}}}\color{lavender}{\boxed{\tt{R}}}[/tex]

[tex] \red{ \star} \pmb{Diameter \: of \: the \: sphere = 7 m}[/tex]

[tex] \red{ \star} \pmb{Radius =\frac{7}{2} = 3.5 m}[/tex]

[tex] \pink{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]

[tex] \sf{Area \: available \: to \: motorcyclist \: for \: riding = Area \: of \: sphere}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4πr^2}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 4*\frac{22}{7}*3.5*3.5}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{= 154}[/tex]

The area available to the motorcyclist for riding is 154 m²

Answer 2

Diameter of the sphere = 7m

[tex]{Radius =\frac{7}{2} = 3.5 m}[/tex]

Area available to motorcyclist for riding = Area of sphere

[tex]{= 4πr^2} \\ \\ {= 4*\frac{22}{7}*3.5*3.5} \\ \\ {= 154}.[/tex]

The area available to the motorcyclist for riding is 154 m²


Related Questions

Omar is going to an amusement park. The price of admission into the park is $25, and once he is inside the park, he will have to pay $5 for every ride he rides on. How much money would Omar have to pay in total if he goes on 8 rides? How much would he have to pay if he goes on r rides?

Cost with 8 rides:
Cost with r rides:
Need answer quickly!

Answers

Cost with 8 rides: 65
Cost with r rides: 25+(r x 5)

The cost of 8 rides will be equal to $65 and the equation for the r rides will be equal to $25 + $5(r).  

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Price of admission into the park = $25

Price to pay for every ride in the park = $5

(a)

Then, the price to pay for 8 rides will be,

$25 + $5(8)

= $25 + $(40)

= $65

(b)

Then, the equation for the price to pay for r rides will be equal to,

$25 + $5(r)

Here, r is the number of rides.

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which inequality is equivalent to the given equality of -4(x+7)<3(x-2)

Answers

Answer:

x > 22/7

_________________________________________

Notice*

Because there are no options, we must find it algebraically.

_____________________________________________

Let's solve your inequality step-by-step.

−4(x+7)<3(x−2)

Step 1: Simplify both sides of the inequality.

−4x−28<3x−6

Step 2: Subtract 3x from both sides.

−4x−28−3x<3x−6−3x

−7x−28<−6

Step 3: Add 28 to both sides.

−7x−28+28<−6+28

−7x<22

Step 4: Divide both sides by -7.

-7x/-7 = 22/-7

x > -22/7

Answer:

x > −22/7

48 girls, 41 boys, and 5 teachers sat in the gym. Write the ratio of girls to boys in three ways.

Answers

I took the text last month

Please help me I am stuck

Answers

so the answer to one is simply 132, because all you have to do it replace t with 0.5, and then evaluate.

the answer to the first part of second question is -64/32 or -2 because all you have to do is find the vertex, which is the point of maximum height. the formula for this -b/2a.
the answer to the second part is 160 because to find the height at the vertex just plug the x coordinate of the vertex in and evaluate. this will give you the maximum height

A 4-digit combination lock can be opened only if a correct combination of digits from 0-9 is chosen. Find the probability of guessing the correct combination if: none of the digits are repeated, any of the digits can be repeated, any of the digits can be repeated but the 3 and 8 are not in the combination.

Answers

The probabilities are as follows:-

if none of the digits is repeated 0.504If any of the digits can be repeated 1If any of the digits can be repeated but the 3 and 8 are not in the combination 0.24.What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be calculated as follows:-

Total combinations are = 10⁴ = 10000

A) if none of the digits are repeated:-The combinations will be 10 x 9 x 8 x 7 = 5040

Probability =  5040 /  10000

Probaility = 0.504

B) If any of the digits can be repeated:- The combinations will be 10 x 10 x 10 x 10 = 10000

Probabilityy = 10000 / 10000 = 1

C )If any of the digits can be repeated but the 3 and 8 are not in the combination the combinations will be 7 x 7 x 7 x 7 = 2401

Probability = 2401 / 10000 = 0.24

Therefore if none of the digits is repeated 0.50.If any of the digits can be repeated 1.If any of the digits can be repeated but the 3 and 8 are not in the combination 0.24.

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What statement is true for f(x) = 3.2^x?

Answers

Answer:

Step-by-step explanation:

assume that y varies inversely with x. If y= 1.6 when x= 0.5, find x when y= 3.2

Answers

Answer:

x = 0.25

Step-by-step explanation:

If y varies inversely with x, then:

[tex]y \propto \dfrac{1}{x} \implies y=\dfrac{k}{x} \quad \textsf{(for some constant k)}[/tex]

Given:

y = 1.6 when x = 0.5

Substitute the given values into the found equation and solve for k:

[tex]\implies 1.6=\dfrac{k}{0.5}[/tex]

[tex]\implies k=1.6(0.5)[/tex]

[tex]\implies k=0.8[/tex]

Therefore:

[tex]y=\dfrac{0.8}{x}[/tex]

To find the value of x when y = 3.2, substitute y = 3.2 into the found equation and solve for x:

[tex]\implies 3.2=\dfrac{0.8}{x}[/tex]

[tex]\implies x=\dfrac{0.8}{3.2}[/tex]

[tex]\implies x=0.25[/tex]

What are the roots of the polynomial equation x cubed minus 5 x 5 = 2 x squared minus 5? use a graphing calculator and a system of equations. round noninteger roots to the nearest hundredth.

Answers

The solution to the equation of the polynomial function x³-5x+5 = 2x²-5  is (c) –2.24, 2, 2.24.

What is Polynomial Equation?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here, The function is given as:

         x³-5x+5 = 2x²-5

Split the function.

So, we have:

   y = x³-5x+5

   y = 2x²-5

Using a graphing calculator, we have the x coordinate at the point o intersection of both equations to be

x = –2.24, 2, 2.24

Hence, the solution to the equation is (c) –2.24, 2, 2.24

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If 10% off is 20 what is 23% off?

Answers

23% off is 46 because 10%is 20 so 20% is 40 and 1% is 2 because 20/10 is 2 so the answe is 46
It would be 46
The person who answered is correct

Match each pair of equivalent values.

1 .
1
square root of 16
2 .
12
square of 8
3 .
4
4 2
4 .
64
1 2
5 .
16

6 .
2

Answers

Answer:

1 - [tex]1^{2}[/tex]

12 - ?

4 - square root of 16

64 - [tex]8^{2}[/tex]

16 - [tex]4^{2}[/tex]

2.828 - square root of 8

Step-by-step explanation:

I need more terms to match

Square root of 16 is 4, square root of 8 is 2, but for an answer it would be , 4² is 16, 1² is 2, number 5 would be 64 and number 6 would be 12.

What are mathematical values?

A mathematical value can generally be any specific mathematical object. This is most frequently a number in elementary mathematics, such as a real number like or an integer like 42. Every integer or even other mathematical object set to a variable or constant is that object's value.

A mathematical expression's value is the outcome of a computation it describes when its variables and constants are given values. The amount that the function assumes for these argument numbers is the result of a function, assuming the value(s) provided to its argument(s).

Square root of 16 is 4, square root of 8 is 2, but for an answer it would be , 4² is 16, 1² is 2, number 5 would be 64 and number 6 would be 12.

Therefore, Square root of 16 is 4, square root of 8 is 2, but for an answer it would be , 4² is 16, 1² is 2, number 5 would be 64 and number 6 would be 12.

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The total pages a person reads in x days, if the person reads 6 pages a day

the cost of x boxes of mangoes, if 1 box costs $6 and the shipping charge is $6 per order (for any number of boxes)

the total cost of x notebooks, if one notebook costs $6 and students receive a discount of $1 off their total bill

the total cost of x novels and a pocket dictionary if you buy x novels each at $6 and get a pocket dictionary at $1

what are the corresponding functions for each situation?

Answers

The given expression will be written as follows:-

y = 6x

y = 6x + 6

y = 6x - 1

y = 6x +1

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

A) The total pages a person reads in x days, if the person reads 6 pages a day

y = 6x

B) The cost of x boxes of mangoes, if 1 box costs $6 and the shipping charge is $6 per order (for any number of boxes)

y = 6x + 6

C) The total cost of x notebooks if one notebook costs $6 and students receive a discount of $1 off their total bill

y = 6x - 1

D) The total cost of x novels and a pocket dictionary if you buy x novels each at $6 and get a pocket dictionary at $1

y = 6x + 1

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Find the number of turns or bumps in the graph of the function f(x) = x² - 25

Answers

Answer:

1 turn

Step-by-step explanation:

this is what the graph would look like:

Oliver wants to buy apples and blueberries to make a fruit tart. Apples cost $3.50 per pound and blueberries cost $3.25 per pound. How many pounds of fruit does he buy if he buys 2 pounds of apples and 3 pounds of blueberries? How many pounds of fruit does he buy if he buys xx pounds of apples and y pounds of blueberries?

Total pounds, 2 pounds of apples and 3 pounds of blueberries:

Total pounds, xx pounds of apples and y pounds of blueberries:
Need answer quickly as possible!

Answers

The total pounds of fruits bought if he buys 2 pounds of apples and 3 pounds of blueberries is $16.75.

The total pounds of fruits bought if he buys x pounds of apples and y pounds of blueberries is $3.50x + $3.25y.

What is the total pounds of fruits bought?

The total pounds of fruits bought = (pounds of apples x cost per pound) +  (pounds of blueberries x cost per pound)

($3.50 x 2) + (3.25 x 3)

$ 7 + 9.75 = $16.75

($3.50 x x) + (3.25 x y)

$3.50x + $3.25y

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A farmer has only goats and hens in his farm,on a particular day,he sold 12 animals (goats and hens) and the total number of their legs was 32. how many goats and how many hens did he sell that day?

Answers

The number of goats sold is 4 and hens sold is 8.

What is an Equation ?

An equation is a mathematical statement which equates two algebraic expression with an equal sign.

Let the total number of goats sold be g

Let the total number of hens sold is h

g + h = 12

The total no. of legs of a goats sold will be 4g

and the total number of legs of a hens sold will be 2h

and it is given that

4g +2h = 32

The system of equation formed is

g + h = 12

4g +2h = 32

Multiplying equation (1) by 2 and then (1) - (2)

-2g = -8

g = 4

Therefore the number of goats sold is 4 and hens sold is 8.

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What multiples to 42 but adds to -13

Answers

-6 x -7 because they multiply and add

a recursive formula for the sequence 18,9,4.5,... is

Answers

Answer:

A1 = 18

A(n) = A (n-1) -2

Step-by-step explanation:

N represents the number in a sequence and the difference in the sequence is -2 since each time the number is listed in the sequence it is divide by 2.

How many factors does 16 have

Answers

Answer:

5

Step-by-step explanation:

1,2,4,8,16 total 5 factors

there are 4 factors of 16 and those are 1, 2, 4, and 8

The solution to an inequality is graphed on the number line.

A number line going from negative 5 to positive 5. A solid circle appears between positive 4 and positive 5. The number line is shaded from the circle to negative 5.
What is another way to represent this solution set?

{x | x < 4.5}
{x | x ≤ 4.5}
{x | x > 4.5}
{x | x ≥ 4.5}

Answers

The correct answer is option B which is {x | x ≤ 4.5}

What is a number line?

A number line is a representation of a graduated straight line used to represent real numbers in introductory mathematics.

Because the arrow is pointing to the left, the answer to the solution set needs to be less than the number the dot is on.

A solid dot on a number means that that number is included in the solution set.

In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.

Therefore the correct answer is option B which is {x | x ≤ 4.5}

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Solve by using Vertical Velocity model: h=-16t^2+vt+s

Where v = velocity

s = starting height

h = ending height

t = time

You can ignore the previous work, just solve B and C. Just there for context
USE VERTICAL VELOCITY MODEL FORMULA.

Answers

An equation that models the height of the ball as a function of time t is; h(t) = -16t² + 40t + 3. The maximum height that the ball will reach is 28 ft

How to Solve the Vertical velocity model?

We are given the equation for the vertical velocity model as;

h = -16t² + vt + s

Where;

v = velocity

s = starting height

h = ending height

t = time

A) From the question, we have;

v = 40 ft/s

s = 3 ft

Thus, the equation is;

h = -16t² + 40t + 3

B) To find the time that the ball reaches its maximum height, we will equate the height equation to zero and find the roots. Thus;

-16t² + 40t + 3 = 0

Using an online quadratic equation calculator gives;

t = 2.573 s

C) The maximum height that the ball will reach is;

h'(t) = -32t + 40

At h'(t) = 0;

-32t + 40 = 0

32t = 40

Thus;

t = 1.25 s

Max height = -16(1.25)² + 40(1.25) + 3

Max height = 28 ft

D) The height of the ball after 2 seconds is;

h(2) = -16(2)² + 40(2) + 3

h(2) = 19 ft

E) Time for the ball to hit the ground is;

T = 2 * 2.573

T = 5.146 s

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What is the range of y = sin(x)?

A)-1≤ y ≤1

B)-2π≤y≤2

C)-0.5≤ y ≤0.5

Answers

Answer:

A) -1≤ y ≤1

Step-by-step explanation:

If you go on a graphing site and graph out y = sin(x), you will see that it is a wave that forever oscillates between 1 and -1.

(I've attached an image below for more information on sin graphs):

Two consecutive odd numbers are such that seven times the smaller , subtracted from nine times the bigger,gives 144.find the two numbers.

Answers

Answer:

x = -16

y = 20

Step-by-step explanation:

NEED HELP TODAY PLEASE solve 4(2/5x+7)=−8−4/5x show your work

Answers

Answer:

x = -15

Step-by-step explanation:

Does this graph represent a proportional relationship? Explain.
On a coordinate plane, a curved line has 2 curves.

Answers

Answer:

No, This graph does not show a proportional relationship. The graph of a proportional relationship is a straight line that passes through the origin.

Step-by-step explanation:

If the graph of a relationship is a line or a ray passes through the origin, then it is proportional. If it is a line or ray that does not pass through the origin, then it is not proportional.

So, it's clear that if a graph has to be proportional then the relationship between the variables should be represented by the graph of a straight line through the origin with a slope equal to the unit rate.

Given relationship is not proportional because they do not have a constant ratio nor does it pass through the origin. If the data on the graph shows a curved line, it is not constant and is not proportional.

For reference, you can check the attached image also.

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Which expression is equivalent to |8|+|-7|​

Answers

Answer:

8 + 7.

Step-by-step explanation: It is absolute value.

The​ _____ _____, denoted ​, is given by the formula ​_____, where x is the number of individuals with a specified characteristic in a sample of n individuals.

Answers

The sample proportion denoted [tex]\hat{p}[/tex] is given by the formula [tex]\hat{p} = \frac{x}{n}[/tex], where, x is the number of individuals with a specified characteristic in a sample of n individuals.

What is a sample proportion?

A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.

Mathematically, sample proportion can be calculated by using this formula:

[tex]\hat{p} = \frac{x}{n}[/tex]

Where:

x is the number of individuals with a specified characteristic.n is the total number of individuals in a sample.

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The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete two rotations every minute.

Write a sine model, y = asin(bt) + k, for the hight (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate.

Options are displayed in the picture

Answers

Answer:

D: y= 10sin([tex]\frac{\pi }{15}t[/tex]) + 30

Step-by-step explanation:

30 feet above the ground is the k value.

10 feet long is how long the blades reach up and down which is also known as the amplitude.

The rest is given in all answers.

A group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs 32 dollars , so the debt for one ticket is-32 . The tour company adds a 15 dollar fee for the entire order. Including the fee, which number represents the total debt?

Answers

The number that represents the total debt is 303 if the group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet.

What is debt?

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

We have:

Each ticket costs 32 dollars, so the debt for one ticket is -$32. The tour company adds a 15-dollar fee for the entire order.

A group of 9 pre-orders 9 tickets for a sightseeing tour.

Total cost of 9 tickets = 9×32 = $288

As this group doesn't have money

The debt for the tickets will be = $288

The tour company adds a $15 fee for the entire order.

The total debt for this tour = $15 + $288 = $303

Thus, the number that represents the total debt is 303 if the group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet.

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Gerald purchased a rectangular plot of land. the length of the plot is 20 feet more than the width. the cost of the land was $12 per square foot. gerald also had a fence put around the entire perimeter of the plot, at a cost of s8 per linear foot. the total amount he spent on both the land and the fence was $10,560. part a write an equation in two variables for the perimeter, p, and an equation in two variables for the area, a, of the plot of land where x is the width of the plot in feet. provide evidence to support your equations

Answers

Answer:

P =2(x+ y) [tex]ft[/tex].

A =xy [tex]ft^{2}[/tex]

Step-by-step explanation:

perimeter of rectangle (P)= 2(L+B

Area of rectangle (A)        =    L×B

Given,

width = 'x'

length = y = x+20

therefore using above formula

P = 2(x+20 + x) = 2(2x+20)

A = (x+20)(x)

cost of land per square foot = $12

cost of land per linear foot   = $8

total cost of land                   = $10560

now,

P×8 + A×12   = 10560

2(2x+20)×8 +  (x+20)(x)×12 = 10560

32x + 320 + 12x²+ 240x     = 10560

12x² + 272x                         = 10240

12x² + 272x - 10240           = 0

solving this quadratic equation using Discriminant method

x = [-b ±√(b² - 4ac)]/2

where b is the coefficient of x

a is the coefficient of x²

and c is the constant term

by replacing values in the above formula

x = 19.5  , x = -42.24

as the area cannot be negative therefore -42.24 is neglected

hence x = 19.5ft

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I WILL GIVE BRAINIEST
Line AB and Line CD bisect each other at point E. If AE = 3x - 10y + 123, BE = -2x - 7y + 122, CE = 9x + 10y - 171, and DE = 3x + 20y - 249, what are the values of x and y?

Answers

The values of x and y are 7 and 12 respectively

Solving simultaneous equations

From the question, we are to determine the values of x and y

From the given information,

Line AB and Line CD bisect each other at point E

Then, we can conclude that

AE = BE

and

CE = DE

From the given information,

AE = 3x - 10y + 123

BE = -2x - 7y + 122

CE = 9x + 10y - 171

DE = 3x + 20y - 249

Then, we can write that

3x - 10y + 123 = -2x - 7y + 122

Simplifying

3x +2x -10y + 7y = 122 -123

5x -3y = -1 ----------- (1)


Also,

9x + 10y - 171 = 3x + 20y - 249

Simplifying

9x -3x +10y -20y = -249 + 171

6x -10y = -78 --------- (2)

Now, solve equations (1) and (2) simultaneously

5x -3y = -1 ----------- (1)

6x -10y = -78 --------- (2)

Multiply equation (1) by 10 and equation (2) by 3

10 × ( 5x -3y = -1

3 × ( 6x -10y = -78

50x -30y = -10 ----------- (3)

18x -30y = -234--------- (4)

Then, subtracting equation (4) from equation (3), we get

50x -18x -30y-(-30y) = -10-(-234)

32x -30y + 30y = -10 + 234

32x = 224

∴ x = 224/32

x = 7

Put the value of x into equation (1), to find y

5x -3y = -1

5(7) -3y = -1

35 -3y = -1

35 + 1 = 3y

36 = 3y

∴ y = 36/3

y = 12

Hence, the values of x and y are 7 and 12 respectively

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If the inspection division of a county weights and measures department wants to estimate the mean amount of

Answers

If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.

Given 95% confidence level, standard deviation=0.05.

We know that margin of error is the range of values below and above the sample statistic in a confidence interval.

We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data  near the mean are more frequent in occurence than data far from mean.

We know that margin of error for a confidence interval is given by:

Me=[tex]z/2* ST/\sqrt{N}[/tex]

α=1-0.95=0.05

α/2=0.025

z with α/2=1.96 (using normal distribution table)

Solving for n using formula of margin of error.

[tex]n=(z/2ST/Me)^{2}[/tex]

n=[tex](1.96*0.05)^{2} /(0.01)^{2}[/tex]

=96.4

By rounding off we will get 97.

Hence the sample size required will be 97.

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The given question is incomplete and the full question is as under:

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?

Other Questions
rne subtracted 6x3 2xfind the difference.from -3.x3 +4x - 7. Use the drop-down menusto identify the steps Lorne used(-3x' + 5x7,+ 4x - 7) + (-6x3 + 2x -3)(-3x) + 5x2 + 4x + (-7) + (-6x3) + 2x + (-3)[(-3x*) + (-6x)] + [4x + 2x] + [(-7) + (-3)] + [5x2)-9x + 6x + (-10) + 5x2-9x' + 5x2 + 6x - 10 "Hello I am ......... I'm so happy to finally meet you" in french is "Bonjour je suis ...... si heureux de Vous rencontrer enfin Type some french sentences and I'll translate them Write down the importance of cooling system on your machine to cools the workpiece and avoid damage during surface grinding process: Bonnie and Connie ran a total of 135 miles last week. Bonnie runs at a constant speed of 7 miles per hour, and Connie runs at a constant speed of 5 miles per hour. If Bonnie and Connie ran for a total of 24 hours last week, how many minutes did Bonnie run SolveA.A bag has 18 marbles of three different colours.There are twice as many red marbles as blueones.There are two fewer green marbles than blue ones.Form an equation to model this situation, and solveto determine the number of each color marble inthe bag.B.The perimeter of a large triangle is 237 cm.The lengths of the three sides are consecutiveintegers, Form an equation to model this situation,and solve to find the lengths of the three sides. Use the drawing tool(s) to form the correct answer on the provided number line.Consider the given functions.Function 1f(x) = -5x + 11 + 10Function 2g(x)-2Represent the interval where both functions are decreasing on the number line provided.302010--10--20--30-26x Estimate the roots of f(x) In triangle nql, point s is the centroid, ns = (x 10) feet, and sr = (x 3) feet. triangle n q l has centroid s. lines are drawn from each point to the midpoint of the opposite side to form line segments n r, q m, and l p. the length of line segment n s is x 10 and the length of line segment s r is x 3. what is rs? 4 feet 7 feet 10 feet 14 feet Q. 3 Write to the manager of a bookshop to make enquiries about some books thatyou wish to purchase. Place an order for the books if they are available at areasonable price. 49. Luke is putting a floor mat on his bathroom floor. The mat is4 feet wide and 5 feet long. The floor is square with sides thatare 12 feet. The center of the mat is 73 feet from the wall.X733 ft- Floor matbes stser pelazar to vilidadDetermine the distance from the edge of the mat, x, to theopposite wall. Rationalize the Denominator2i/i-2 European dominance in the nineteenth and twentieth centurieswas dependent on success in colonization, economics,militarization, and Using two six-sided number cubes, each labeled with the numbers 1 through 6, event A is defined by rolling a sum greater than 8Which of the following shows the sample space of event A? Factor the following expression. x - 10x +9 2 Factor the following expression . x - 10x +9 2 Help please.List of important events in American History:1820 Missouri Compromise1820 Maine becomes a state1820 U.S. presidential election, James Monroe re-elected president, Daniel D. Tompkins vice-president.1821 Missouri becomes a state.1823 Monroe Doctrine proclaimed.1825 John Quincy Adams elected president by The House of Representatives; John C. Calhoun becomes vice-president1825 Erie Canal completed1826 Former presidents Thomas Jefferson and John Adams die within hours of each other on Independence Day1828 - South Carolina Exposition and Protest published during the Nullification Crisis1828 Baltimore and Ohio Railroad construction begun1828 U.S. presidential electionWrite two or three sentences about each event explaining why this event is important and how it affected America. Semantic code describes the ___ of content on a page, regardless of the style or appearance of that con Please Help!! [ tough geometry question :( ] If point C is between points A and B, then ___ + CB = AB.A. BCB. CAC. ABCD. AB Im not sure how to do this if someone could help it would be much appreciated Which is the best definition of the word tone?a) the reason an author writes a textb) words that describe characters' emotionsc) vivid language that describes sensory experienced) the author's attitude toward the subject matter and audience