The following scatter plot shows the data for NCAA quarterbacks comparing their attempted passes to completed passes.

Hint: A line of best fit follows the pattern of the data and is in the middle of the points.

The central angle measure of the sector is 4.19 rad.

You need apply the formula: [tex]A= r^2*\frac{\alpha}{2}[/tex]  for finding the area of the sector, in radians. In this formula, the variables are:

r= radius

[tex]\alpha[/tex]= central angle

The question gives:

A=54[tex]\pi[/tex] cm²

r= radius= 9cm

Thus, the central angle will be:

[tex]A= r^2*\frac{\alpha}{2}\\ \\ 54\pi =81*\frac{\alpha }{2} \\ \\ 1.33333\pi =\alpha[/tex]

For [tex]\pi[/tex]=3.14159..., you have :

[tex]\alpha=4.19\; rad[/tex]

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Answer:

4pi/3

Step-by-step explanation:

Convert to polar coordinates with

[tex]x = r \cos(\theta)[/tex]

[tex]y = r \sin(\theta)[/tex]

so that [tex]x^2 + y^2 = r^2[/tex], and the Jacobian determinant for this change of variables is

[tex]dx\,dy = r \, dr \, d\theta[/tex]

D is the disk centered at the origin with radius 2; in polar coordinates, this is the set

[tex]D = \left\{(r, \theta) \mid 0\le\theta\le2\pi \text{ and } 0 \le r \le 2\right\}[/tex]

Then the integral is

[tex]\displaystyle \iint_D (x + y + 10) \, dx \, dy = \int_0^{2\pi} \int_0^2 (r \cos(\theta) + r \sin(\theta) + 10) r \, dr \, d\theta[/tex]

[tex]\displaystyle = \int_0^{2\pi} \int_0^2 (r^2 \cos(\theta) + r^2 \sin(\theta) + 10r) \, dr \, d\theta[/tex]

[tex]\displaystyle = \int_0^{2\pi} \left(\frac83 (\cos(\theta) + \sin(\theta)) + 20\right) \, d\theta[/tex]

[tex]\displaystyle = 20 \int_0^{2\pi} d\theta = \boxed{40\pi}[/tex]

(since cos and sin are 2π-periodic)

The coordinates of the point on the directed line segment is (5,-4)

A line segment is a line drawn to join two given points on the cartesian plane.

Analysis:

x coordinate = MX1 + NY1/M + N

y coordinate = MY1 + NY1/ M+N

where M and N are the ratio of division

x = 1(-1) + 2(8)/1+2 = 15/3 = 5

y = 1(-6) + 2(-3)/1+2 = -12/3 = -4

(5,-4)

In conclusion, the coordinates are (5,-4)

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The absolute value equation that satisfy the solution set of -4 and -8 is |2 - x| = -6

The solution sets on the number line are given as:

x = {-8, -4}

Calculate the average of the solutions

Mean = (-8 - 4)/2

Mean = -6

Calculate the difference of the solutions divided by 2

Difference  = (-4 + 8)/2

Difference = 2

The absolute value equation is the represented as:

|Difference - x | = Mean

Substitute known values

|2 - x| = -6

Hence, the absolute value equation is |2 - x| = -6

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Answer:

|b+6|=2

Step-by-step explanation:

Answer:

A = $28,338.18 after 10 yrs

Step-by-step explanation:

hope this helps

hope you can understand

Two numbers multiply the value on top (-84) and add to the value on the bottom (17) is 21 and -4.

Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition.

The two given numbers are -84 and 17.

We need to write two numbers that multiply to the value on top (-84) and add to the value on the bottom (17).

If we multiply 21 and -4, we get the product as -84.

That is, 21×(-4)=-84

If we add 21 and -4, we get the sum as -17.

That is, 21+(-4)=21-4=17

Therefore, two numbers multiply the value on top (-84) and add to the value on the bottom (17) is 21 and -4.

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Answer:

O the amount of plant food used each day

Step-by-step explanation:

O the initial amount of plant food the length of time it takes for Ryan to use all the plant food is the y-intercept therefore wrong.

O the length of time it takes for the height of the plant to reach 72 centimeters​

Answer:

The approximate population of bacteria in the culture after 10 hours is 93,738.  

Step-by-step explanation:

BPEMDAS Order of Operations:

We are given the following Exponential Growth Function (Doubling Time Model), [tex]\displaystyle\mathsf{P_{(t)}\:=\:P_0\cdot2^{(t/d)}}[/tex] where:

Step 1: Identify the given values.

Step 2: Find value.

1. Substitute the values into the given exponential function.

  [tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow P_{(10)} = 9300\cdot2^{(10/3)}}[/tex]

2. Evaluate using the BPEMDAS order of operations.

  [tex]\displaystyle\mathsf{P_{(10)} = 9300\cdot2^{(10/3)}\quad \Longrightarrow BPEMDAS:\:(Parenthesis\:\:and\:\:Division).}[/tex]

  [tex]\displaystyle\sf P_{(10)} = 9300\cdot2^{(3.333333)}\quad\Longrightarrow BPEMDAS:\:(Exponent).}[/tex]

  [tex]\displaystyle\sf P_{(10)} = 9300\cdot(10.079368399)\quad \Longrightarrow BPEMDAS:(Multiplication).}[/tex]

 [tex]\boxed{\displaystyle\mathsf{P_{(10)} \approx 93,738.13\:\:\:or\:\:93,738}}[/tex]

Hence, the population of bacteria in the culture after 10 hours is approximately 93,738.  

We can solve for the amount of time (t ) it takes for the population of bacteria to increase to 93,738.

1. Identify given:

2. Substitute the values into the given exponential function.

  [tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 93,378 = 9,300\cdot2^{(t/3)}}[/tex]

3. Divide both sides by 9,300:

  [tex]\displaystyle\mathsf{\longrightarrow \frac{93,378}{9,300} = \frac{9,300\cdot2^{(t/3)}}{9,300}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = 2^{(t/3)}}[/tex]

4. Transform the right-hand side of the equation into logarithmic form.

  [tex]\boxed{\displaystyle\mathsf{\underbrace{ x = a^y}_{Exponential\:Form} \longrightarrow \underbrace{y = log_a x}_{Logarithmic\:Form}}}[/tex]    

  [tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]  

5. Take the log of both sides of the equation (without rounding off any digits).  

  [tex]\displaystyle\mathsf{log(10.07936840) = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 1.003433319 = \bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996)}[/tex]

6. Divide both sides by (0.301029996).

  [tex]\displaystyle\mathsf{\frac{1.003433319}{0.301029996} = \frac{\bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996) }{0.301029996}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 3.3333333 = \frac{t}{3}}[/tex]

7. Multiply both sides of the equation by 3 to isolate "t."

  [tex]\displaystyle\mathsf{(3)\cdot(3.3333333) = \bigg[\:\frac{t}{3}\:\bigg]\cdot(3)}[/tex]

  [tex]\boxed{\displaystyle\mathsf{t\approx10}}[/tex]

Hence, it will take about 10 hours for the population of bacteria to increase to 93,378.    

__________________________________

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Answer:

-1

Step-by-step explanation:

Rise/Run equates it to be -1/1 wich is -1

Step-by-step explanation:

the answer is 94206584 kk

Answer:

107 degree

Step-by-step explanation:

interior angle sum of a hexagon is 720,

using S = (n - 2)*180

which is S =(4)*180

720-118-111-124-115-145=107

Answer:c

Step-by-step explanation:none of these are good answers as they can all exist in flat Euclidean space. The best answer is c because a great circle exists in spherical (non-flat) geometry . However it’s not really correct to say you could never describe a great circle in Euclidean space and whoever wrote this question (not you, the original author of the question) deserves to bite their tongue on their dinner tonight

Answer:

See the attachment photo!

Answer:  Cara takes longer

Step-by-step explanation:

cara takes 14 minutes

irena takes 11

Answer:

cara takes longer by 14 minutes than Irena who takes 11 minutes

Answer:

4x²y² and 16x⁴y⁶

Step-by-step explanation:

Answer:

Irrational.

Step by step explanation:

[tex]\sqrt 6 + \dfrac{2}{3}\\\\\\=\dfrac{3\sqrt 6 +2}{3}\\\\\text{The sum of the these two numbers cannot be expressed as the the ratio of two integers,}\\\\\text{So the sum is not rational.}[/tex]

Heya User !

Your Answer is in the attachment, do check out.

MᎥssAbhᎥ ☁

The time it will take the ride to reach the floor is  77.29 seconds

These are equations that has a leading  degree of 2.

Given the function that represents the height of the roller coaster

h(t) = –0.086t^2 + 6t + 50,

At the ground level, h = 0

Substitute

h(t) = –0.086t^2 + 6t + 50,

–0.086t^2 + 6t + 50 = 0

0.086t^2 - 6t - 50 = 0

Factorize

On factorizing, the time it will take the ride to reach the floor is  77.29 seconds

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Answer:

D)  t = 77.29 seconds

Step-by-step explanation:

The height of the rollercoaster at ground level is zero.

Therefore, to find how long it will take riders to pass over the hill and reach ground level, set h = 0 and solve for t.

Set the equation equal to zero:

[tex]-0.086t^2 + 6t + 50=0[/tex]

Solve the equation using the quadratic formula.  

The quadratic formula is a formula that can be used to find the solutions of any quadratic equation, which is an equation of the form ax²+bx+c=0, where a, b, and c are constants and x is the variable.

[tex]\boxed{x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}}[/tex]

In this case:

Substitute these values into the quadratic formula and solve for t:

[tex]t=\dfrac{-6 \pm \sqrt{6^2-4(-0.086)(50)}}{2(-0.086)}[/tex]

[tex]t=\dfrac{-6 \pm \sqrt{36+17.2}}{-0.172}[/tex]

[tex]t=\dfrac{6 \pm \sqrt{53.2}}{0.172}[/tex]

[tex]t=-7.52228495..., \;\; 77.2897268...[/tex]

As time is positive only, t = 77.29 seconds (2 decimal places).

The total cost when 881 minutes is used is $477.50.

a + 480b = 277 equation 1

a + 990b = 532 equation 2

Where:

Subtract equation 1 from equation 2

510b = 255

b = 255 / 510

b = $0.50

In order to determine the flat fee, substitute for b in equation 1

a + 480(0.5) = 277

a + 240 = 277

a = 277 - 240

a = $37

Total cost = flat fee + (variable cost x number of minutes spoken)

$37 + (881 x 0.5) = $477.50

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Answer:

False

Step-by-step explanation:

The answer is in its name. Its a property of equality meaning it makes sure that both sides are equal to each other

Step-by-step explanation:

t = 20n + 15

t = 80

80 = 20n + 15

65 = 20n

n = 65/20 = 13/4 = 3.25 hours

Answer:

the answer is [9÷3+6]×

Step-by-step explanation:

the Answer is [9÷3+6]×3 =25

The number of books she would have completed in one day will be 2 books.

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

Given that:-

Emily completed reading 24/3 books in 32/4 days

Emily completed 8 books in 4 days. The number of the books will be calculated by using the expression below:-

4 days = 8 books

1 day = 8 / 4 = 2 books

Therefore the number of books she would have completed in one day will be 2 books.

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Answer:

slope = -5/4

Step-by-step explanation:

Because you have been given two points, you can use point-slope formula to find the slope. In the equation, "m" is the slope.

1st Point: (1,3)

2nd Point: (5, -2)

y₁ - y₂ = m(x₁ - x₂)                    <----- Point-Slope Equation

3 - (-2) = m(1 - 5)                       <----- Plug "x" and "y" values into equation

5 = m(-4)                                   <----- Combine like terms

-5/4 = m                                    <----- Divide both sides by -4

Step-by-step explanation:

please mark me as brainlest

THE ANSWER IS B I THINK IF ITS WRONG IM SORRY

Answer: Hope this helps

y = 3/5x + 100

Slope: 3/5

Y-int: 100

Step-by-step explanation:

y = mx + b

replace b with y-int

y = mx + 100

replace m with the slope which is 3/5

y = 3/5x + 100

How do you get slope?

Well I did rise/run with two points so I saw it ran 5 squares and rose only 3.

How do you get the y-int?

Well the y-int is the point where x is 0. So using the point (0,100), since x is 0, the y-int is 100.

The type of rule that can be used to find any number of terms in sequence without knowing the previous term is called the Explicit rule formula.

The formula that determines the sequence's nth term is the explicit rule of an arithmetic sequence.

Using explicit formulae, one can compute any term in a series without first determining the value of the terms that came before it.

Therefore, we can conclude that the type of rule that can be used to find any number of terms in sequence without knowing the previous term is called the Explicit rule formula.

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Answer:

y= -6

Step-by-step explanation:

-4x and 4x are canceled out. -2y+8y= 6y. -12-24=-36

You are left with 6y=-36 . Divide from both sides and -36/6 is -6. So, y=-6.

Hope this helped.

Answer:

Q3 = $5743.49117291326

Q4 = $10955.6157151671

Step-by-step explanation:

General formula for amount in Compound Interest

Amount [A] = [tex]P(1+r)^{t}[/tex]

Here, P = principal

r = rate of interest in decimal form

t = time in years

Q3

----

Substitute current values in question with formula to give you

$5743.49117291326

Q4

----

Substitute current values in question with formula to give you

$10955.6157151671