A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. What is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3.14 for Pi.

Answers

Answer 1

Answer:

15 cm.

Step-by-step explanation:

It is given that,

Central angle [tex]=\dfrac{7\pi}{10}[/tex]

Arc length = 33 cm

Formula for arc length :

[tex]s=r\theta[/tex]

where, s is arc length, r is radius and [tex]\theta[/tex] is central angle in radian.

Substitute s=33 and [tex]\theta=\dfrac{7\pi}{10}[/tex] in the above formula.

[tex]33=r\left(\dfrac{7\pi}{10}\right)[/tex]

Multiply both sides by 10.

[tex]330=7\pi r[/tex]

Divide both sides by [tex]7\pi[/tex].

[tex]\dfrac{330}{7\pi}= r[/tex]

Put [tex]\pi=3.14[/tex]

[tex]\dfrac{330}{7(3.14)}= r[/tex]

[tex]15.0136= r[/tex]

[tex]r\approx 15[/tex]

Therefore, the radius of the circle is 15 cm.

Answer 2

Answer:

15

Step-by-step explanation:


Related Questions

Which type of insurance coverage do employers typically provide to their employees?
A.automobile insurance
B. disability insurance
C. homeowners insurance
D. "pet insurance​

Answers

Disability insurance is generally provided by the employers to the employee

What is an Insurance Coverage ?

Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.

Generally the employers provide Disability insurance to their employees .

An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .

A railway employee is given a  Disability insurance cover and many other normal companies also provide  Disability insurance.

Hence Option B  Disability insurance is the correct answer.

To know more about Insurance Coverage

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Tell me in your own words: How well do you understand RATE?

Answers

Answer:

a measure, quanity or frequency typically one measured against another quantity or measure.

Step-by-step explanation:

i have written in my own words so i would love to be the brainliest i never got one before and i have only 20  points so thank you so much for making me the brainliest if you did so i love u.

Answer:

I do indeed understand rates in math.

Step-by-step explanation:

If you didn't understand what a rate is, a rate is known as a special ratio in which the two terms are in different units.

PLEASE HELP!!!!!



Which of the following similarity statements is formatted
correctly?
Triangle MNO = PQR
Triangle MNO ~ PQR
Triangle MNO = Triangle PQR
Triangle MNO ~
Triangle PQR

Answers

Answer:

option c is the correct ans as there is given similar sign with two triangle.

A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and
front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the
probability that a randomly selected pair of jeans with front pockets also has back pockets?
0.52
0.60
0.74
0.81

Answers

Answer:

.52

Step-by-step explanation:

its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52

Answer:

.74

Step-by-step explanation:

On edge

14. Solve 10 + 6(-9 – 4x) = 10(x - 12) + 8.
O A. X = 17
OB. X = 2
O C. X = -18
O D. X = -6​

Answers

The answer is c X=_18

Answer:

B

Step-by-step explanation:

[tex]10+6(-9-4x)=10(x-12)+8[/tex]

[tex]10-54-24x=10x-120+8[/tex]

[tex]-44-24x=10x-112[/tex]

[tex]-44=34x-122[/tex]

[tex]78=34x[/tex]

[tex]x=2[/tex]

The operation *is defined by x*y=2x-y,where x and y are real numbers.Find the value of (i) y,if y *(3*y)=6​

Answers

Answer:

The value of y = 4

Step-by-step explanation:

Explanation:-

Given the operation *is defined by

         x*y=2 x-y,where x and y are real numbers

Given  y * ( 3 * y ) = 6

     ⇒    y * ( 2 (3) -y) = 6    (∵    x*y=2 x-y)

     ⇒     y * ( 6 - y) = 6

    ⇒     2 (y) - (6 - y ) = 6

    ⇒       2 y - 6 + y = 6

   ⇒         3 y = 6 + 6

  ⇒             3 y = 12

  ⇒               y = 4

Verification:-

Put y =4 in given operation

 L.H.S    

 y * ( 3 * y ) =  4 * ( 3 * 4)

                  = 4 * (2(3)-4)      (∵ x*y=2 x-y )

                 = 4 * ( 6-4)

                = 4 * 2            

               = 2(4) -2      (∵ x*y=2 x-y )

               = 6

              =R.H.S

  y *(3*y) = 6​

          ∴ y = 4 is satisfied  

       

Add the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4 ). PLS help right now.

Answers

Answer:

i belive it is 13.25

Step-by-step explanation:

A fraction is a way to describe a part of a whole. The addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

What is a Mixed Fraction?

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

The sum of 1.25 and (−1 3/4) can be done as,

1.25 + (−1 3/4)

= 1.25 - 1.75

= -0.5

The opposite of 2 1/2 is -2 1/2, therefore, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is,

-0.5 + (-2 1/2)

= -0.5 - 2.5

= -3

Hence, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.

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Ronnie surveyed students to find out which school sport they participated in. Below are the results from the first ten people he surveyed. Which type of graph best displays the data? A. circle graph B. line graph C. histogram D. Venn diagram

Answers

Answer:  you need to have a line graph

stay safe

Answer:

Step-by-step explanation:

its a

I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ

Answers

Answer:

see below

Step-by-step explanation:

mROP= 125°

mSOQ= mROP= 125°

mROQ=mPOS= 180°-125°= 55°

Sum of measures of all arcs in the circle= 2π

mRP= mQS=2π*125/360=25/36π

mQR=mPS=2π*55/360=11/36π

mPRQ= half circle= 2π/2= π

mRPQ= 2π-mQR= 2π- 11/36π= 61/36π

Which equation, when solved, results in a different value of x than the other three? WILL GIVE BRAINLYYYYYYYYYY ASAPSAPPP PLEASE

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A recipe requires 1.5 kilograms of eggs. How much is this in pounds? 0.15 0.7 1.5 2.2 3.3

Answers

Answer:

3.3 Pound

Step-by-step explanation:

in this problem we have to convert kilogram value to its equivalent pound value.

we know

1 KG = 2.205 Pound

since we have to find value of 1.5 kg

we multiply both LHS and RHS by 1.5

1 * 1.5 KG = 2.205 * 1.5 Pound

=> 1.5 KG = 3.307 Pound.

Since , in option value is rounded to 1 decimal place,

hence correct choice is 3.3 Pound

Multiply: (x – 4)(x + 5)

Answers

Answer:

x² + x - 20

Step-by-step explanation:

Step 1: Expand using FOIL

x² + 5x - 4x - 20

Step 2: Combine like terms

x² + x - 20

[tex](x-4)(x+5)=x^2+x-20[/tex]

Hope this helps.

Which must be true?​

Answers

Answer:

PSC=PTC

They are the same angle

PLEASE HELP WILL MARK BRAINLIEST The frequency f​ (in waves per​ second) and the wavelength w​ (in meters) of a sound traveling in the air are related by the equation fw = 343 where 343​ m/s is the speed of sound in air. Calculate the wavelength of a musical note with a frequency of 240 waves per second. The wavelength is meters.

Answers

You gave us the speed and the frequency, and you need the wavelength.

You were also nice enough to remind us that (fqy)x(lng) = speed.

So . . . F x W = 343 m/s

Divide each side by F :

W = (343 m/s) / F

W = (343 m/s) / (240 / s)

W = (343/240) m

W = 1.429 meters

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?

Answers

Answer:

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh= 1/3*100*6= 300 cm³

Density= weight/volume= 300 g/300 cm³= 1 g/cm³

The lowest density is 1 g/cm³

Answer:

1.5 !

Step-by-step explanation:

oh khan academy :))

Question 2 Comparing Text Message Plans Roger’s father also compares the text plans from the two companies. He knows that Dial It Up charges $5 for 100 text messages and Ring Ring charges $8 for 200 text messages. Part A What is the ratio of the number of text messages to the price in dollars offered by each company?

Answers

Answer:

The ratio of Dial it up is $1: 20 text messages

The ratio of Ring Ring is

$1: 25 text messages

Step-by-step explanation:

Dial it up=$5 for 100 text messages

Ring Ring=$8 for 200 text messages

What is the ratio of the number of text messages to the price in dollars offered by each company?

The ratio of Dial it up is

$5 : 100

=$5/100

=$1/20

The ratio of Dial it up is $1: 20 text messages

The ratio of Ring Ring is

$8:200 text messages

=$8/200

=$1:25

The ratio of Ring Ring is

$1: 25 text messages

Ring Ring has a cheaper text message plan compared to Dial it up

From the graph y = 10/x^2 shown below, what happens to the y- values as the negative x- values get closer to zero?

a.
They increase
c.
They stay the same
b.
They decrease
d.
cannot be determined from the graph

Answers

Answer: a

Step-by-step explanation:

if you look on the x axis and go from the far left to 0 you can see the y values go up and increase.

The y- values as the negative x- values get closer to zero is they decrease the correct option is B.

How to find the function which used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The function= y = 10/x^2

Now,

As x gets closer to 0 from the negative side, x becomes a larger negative number in magnitude. When we substitute a large negative value for x in y = 10/x^2, the square of this negative number becomes a large positive number, and the fraction 10/x^2 becomes a small positive number.

For example, if we substitute x = -2 into y = 10/x^2, we get:

y = 10/(-2)^2 = 10/4 = 2.5

If we substitute x = -10 into y = 10/x^2, we get:

y = 10/(-10)^2 = 10/100 = 0.1

Therefore, by the graphed function the answer will be they decrease.

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PLEASE HELP ASAP!! I WILL GIVE U BRAINLIEST, PLZ SOLVE A person places a mirror between herself and a building. The mirror is 17.5 meters from the building. When she is 3 meters away from the mirror, she can see the top of the building in the corner of the mirror. If she is 2 meters tall, how tall is the building? Round your answer to the nearest hundredth. Enter your answer as a number. For example, if your answer is 14.5 meters, enter 14.5

Answers

Answer:

11.6

Step-by-step explanation:

There are 2 traingles one from the person to bottom of mirror and one from the bottom of the mirror to the top of the building

these are conjugate triangles so if the 3m represents 17.5

what does the 2 m represent?

2*17.5/3=35/3=11 2/3 so 11.6

PLEASE HELP ASAP!!! What is the standard form for the quadratic function? g(x) = (x + 5)^2 −1
g(x)= x^2 − 10x − 26
g(x)= x^2 + 24
g(x)= x^2 − 26
g(x)= x^2+10x + 24

Answers

Answer:

g(x)= x^2+10x + 24.

Step-by-step explanation:

g(x) = (x + 5)^2 −1

= x^2 + 5x + 5x + 25 - 1

= x^2 + 10x + 24

g(x)= x^2+10x + 24 is your answer.

Hope this helps!

Answer:

the answer is g(x)=x^2+10x+24.

Step-by-step explanation:

here,

=(x+5)^2_1 (as (a+b)=a^2+ab+b^2)

=x^2+10x+25_1

=x^2+10x+24... is answer

hope its helpful to uh..

Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)

Answers

Answer:

The ordered pair (e₁, e₂) is (6, 8).

Step-by-step explanation:

Consider the pathway attached below.

Consider that Fred is at 1.

It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.

    e₁ :    1              3             5              7        ...

P (e₁) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 1 is:

[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]

The sum series e₁ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₁ is:

[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]

Consider that Fred is at 2.

It is provided that Fred always moves to 1 if he at step 2.

    e₂ :    2             4             6              8        ...

P (e₂) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 2 is:

[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]

The sum series e₂ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₂ is:

[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]

Thus, the ordered pair (e₁, e₂) is (6, 8).

Answer:

(3, 4)

Step-by-step explanation:

For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.

[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]

This equation eventually equals to 3, so e_1 is equal to 3.

For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.  

What is the solution to the system of equations? 2x – y = 7 y = 2x + 3 (2, 3) (2, 7) no solution infinite number of solutions

Answers

Answer:

Option C.

Step-by-step explanation:

Let [tex]a_1x+b_1y+c_1=0[/tex] and [tex]a_2x+b_2y+c_2=0[/tex] are two line.

If [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], then system of equations have infinite number of solutions.

If  [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], then system of equations have no solution.

If [tex]\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2}[/tex], then system of equations have unique solution.

The given equations are

[tex]2x-y=7[/tex]

[tex]y=2x+3[/tex]

These equations can be rewritten as

[tex]2x-y-7=0[/tex]

[tex]2x-y+3=0[/tex]

Here, [tex]a_1=2,b_1=-1,c_1=-7,a_2=2,b_2=-1,c_2=3[/tex].

[tex]\dfrac{a_1}{a_2}=\dfrac{2}{2}=1[/tex]

[tex]\dfrac{b_1}{b_2}=\dfrac{-1}{-1}=1[/tex]

[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{3}[/tex]

Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex], therefore, the system of equations have no solution.

Hence, option C is correct.

Answer:

ANSWER: C

Step-by-step explanation:

Bryan plans to save the same amount of money for 5 weeks. He wants to buy a new sweatshirt for $95 and a beanie for $30. How much money should he save each week to buy both items?

Answers

Answer:

$25

Step-by-step explanation:

95+30= 125

125/5= 25

25$ each week.

Hope this helped!

Need answer ASAP please

Answers

Answer:

0.44444444444, round it to the tenth or hundredth or wherever it tells you to round the answers to.

the answer is actually 0.36666

Question 1(Multiple Choice Worth 4 points)
(07.06A)
What is the rate of change of the linear relationship modeled in the table?
x
- 2
5
-
4
3
1
2
O-2
0-1
01

Answers

Answer:

-1  

Step-by-step explanation:

In the picture attached, the question is shown.

To compute the rate of change of the linear relationship we need two points, (x1, y1) and (x2, y2), and the next formula:

rate of change = (y2 - y1)/(x2 - x1)

Selecting points (0,3) and (1,2), notice that other selections are also possible, and replacing them into the equation we get:

rate of change = (2 - 3)/(1 - 0) = -1

For k(x)= (-x- 1)(x^2 + 3x - 1)(x+2), find the derivative of k(x) at the point = -2 using the product rule.

Answers

Answer:

The derivative of that product of functions evaluated at the point x=-2 gives "-3"

Step-by-step explanation:

Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:

(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]

So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2

therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2  to obtain the answer:

[tex](x^2 + 3x -1)'=2x+3\\ \\(- x^2- 3x -2)'=-2x-3[/tex]

Now, applying the product rule for those two trinomial functions, we get:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]

which at x = -2 becomes:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)\\(2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)= -3[/tex]

Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.

Answers

Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

The function h = -16t + 240t represents the height h (in feet) of a rocket t seconds after it is launched. The rocket explodes at its highest point. after how many seconds does the rocket explode

Answers

The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.

The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).

In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:

t = -b / 2a

t = -240 / (2 * -16)

t = -240 / -32

t = 7.5

Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.

Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.

A parent needs up to twelve students for a game. He needs no fewer than five male students.

Let x represent the number of female students and y represent the number of male students.

Select all inequalities that model this situation.

Answers

Answer:

you need more than or equeall to 5 male students. For girls u need less than or equeall to 7 female students.

please help! it would be much appreciated

Answers

Answer:

Yes

Step-by-step explanation:

[tex]\sqrt{3} = 1.73205080757[/tex]

Simplified it is 2

Yes.......... .......

Every 7th person who enters a store is given a survey to complete. Which type of sampling method is described in this situation?
A. voluntary sample
B. convenience sample
C. simple random sampling
D. systematic random sampling

Answers

Answer:

D. Systematic Random Sampling

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make x subject of m =n + x/p solve 7+x3=2x-5 pls help me with this Please answer this correctly When organizations, in an attempt to prevent _____ asks customers to not enter characters but instead select them one by one from boxes, intruders may counter with Sebastian purchases two pieces of equipment for $189,000. Appraisals of the equipment indicate that the fair market value of the first piece of equipment is $132,300 and that of the second piece of equipment is $207,900. What is Sebastian's basis in these two assets? If required, round your interim calculations to two decimal places. Use rounded amounts in subsequent computations. If required, round final answers to the nearest dollar. Sebastian's basis for the first piece of equipment is $ and $ for the second piece of equipment. Find the probability of rolling a sum of 10 or a sum that is an odd number when two number cubes are rolled. The Internal Rate of Return (IRR) represents which of the following: Multiple Choice The discount rate that must be lower than the required rate of return. The discount rate that makes the net present value equal to zero. The discount rate that makes the net present value positive. The discount rate that makes the net present value negative. The discount rate that is affected by the cash flows external to the project. A company reported that its bonds with a par value of $50,000 and a carrying value of $59,000 are retired for $62,400 cash, resulting in a loss of $3,400. the amount to be reported under cash flows from financing activities is: The core CPI looks at the price changes of a market basket without Select one: a. luxury goods b. taxes c. food and energy d. imported goods Which of the following is the best source of information for learning how far Chicago is from New York city Is boron a metal or non metal or metalloid Dividing Polynomials Divide x^5+15x^4+54x^325x^275x34 by x+8 You must show all of your work to receive credit. A True/False quiz has three questions. When guessing, the probability of getting a question correct is the same as the probability of getting a question wrong. What is the probability that a student that guesses gets at least 2 questions correct PLVHGCHVBJGUYFTDCGVHJGYUJH **true or false**all functions are relations but not all relations are functions explain Messenger:For Creon, in my view, was once a manwe all looked up to.Which characteristic of tragedy do the messenger's words reveal?A. a tragic character's reversal of fortuneB. causal relationships that make up the tragic structureC. the spectacle associated with Aristotle's tragic definitionD. the triumph of a tragic character a ______ consumer is a heterotroph that directly eats an autotroph. A primary B. Quaterany C tertiary D secondary the typing area is bordered on the right side by bars in ms word Identify two reasons for the founding of the southern colonies.religious freedomprofitto push out the Native Americanswarm weatheras a barrier against Spain WILL GIVE 100 POINTS PLZZ HELP Read this excerpt from the speech. There is no strife, no prejudice, no national conflict in outer space as yet. Its hazards are hostile to us all. Its conquest deserves the best of all mankind, and its opportunity for peaceful cooperation may never come again. But why, some say, the moon? Why choose this as our goal? And they may well ask why climb the highest mountain? Why, 35 years ago, fly the Atlantic? Why does Rice play Texas? We choose to go to the moon. We choose to go to the moon in this decade and do the other things, not because they are easy, but because they are hard, because that goal will serve to organize and measure the best of our energies and skills, because that challenge is one that we are willing to accept, one we are unwilling to postpone, and one which we intend to win, and the others, too. Why does Kennedy ask and answer these questions in his speech? It allows him to clarify his purpose: to persuade the audience to reconsider participation in the space race because of the potential conflicts it may cause. It gives him the opportunity to restate his purpose: to convince the audience that to lead in the space race is to affirm American values of risk taking and hard work. It helps him support his purpose: to convey to the audience the importance of weighing the pros and cons of entering the space race before committing resources to the program. It helps him advance his purpose: to demonstrate to the audience that the space race reflects the pioneer spirit that is an important part of the American legacy.