Given the following set of numbers find the mean, median and mode. 6, 6, 8, 7, 10, 14, 13, 6, 5, 7, 8, 10, 13, 6, 7

Answer:

Step-by-step explanation:

The vertex form of quadratic function f(x) = ax² + bx + c:

f(x) = a(x - h)² + k

(h, k) - coordinates of a vertex

h = -b/2a

k = f(h)

We have f(x) = -x² + 8x - 4 ⇒ a = -1, b = 8, c = -4.

h = -8/(2 · (-1)) = -8/(-2) = 4

k = f(4) = -4² + 8 · 4 - 4 = -16 + 32 - 4 = 12

Vertex (4, 12)

Axis of symerty = h: x = 4

y - inrercept f(0) = c: -4

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Using the line of best-fit, it is found that the residual for the player is of 12.6.

A residual is given by the difference between the observed point and the predicted point.

In this problem, the expected score over x hours is given by:

f(x) = 280.3 + 85.7x.

Hence, for 3 hours, the predicted score is given by:

f(3) = 280.3 + 85.7 x 3 = 537.4.

The observed score was of 550, hence the residual is given by:
R = 550 - 537.4 = 12.6.

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Answer:

A = 51

Step-by-step explanation:

I'm not sure if it is correct but here is my working

180=41+2a+a-14

180=3a+27

153=3a

51=a

Answer:

a=51

Explaination-

ABC + ACB + BAC = 180°

(a-14)° + 2a + 41° = 180°

a=51

Answer:

y = 1/2 x.

Step-by-step explanation:

Each value of y is 1/2 of x.

Answer:

92 degrees

Step-by-step explanation:

180-88

=92

~rere

Answer:

A pythagorean identity means that for any angle [tex]\theta[/tex], [tex]sin^2\theta+cos^2\theta=1[/tex].

This also means [tex]1+tan^2\theta=sec^2\theta \mbox{ and } 1+cot^2\theta=csc^2\theta.[/tex] The symbol, theta ([tex]\theta[/tex]) represents one of the acute angles in the right triangle. The hypotenuse (familiarly c in the regular pythagorean theorem) is 1. The triangle base is [tex]cos\theta[/tex], and the height (side perpendicular to the base, making a right angle) is [tex]sin\theta[/tex]. The angle theta is opposite the [tex]sin\theta[/tex] side.

Step-by-step explanation:

The pythagorean theorem applies to right triangles, which always have a 90 degree angle. Pythagorean identities are used to simplify trigonometric expressions/evaluate trig functions and to find the trig ratios in a right triangle.

Answer:

The Pythagorean identities are

[tex]sin^{2} x + cos^{2} x = 1\\1+ tan^{2} x = sec^{2} x\\1 + cot^{2} x = csc^{2} x\\where\\csc x = \frac{1}{sinx} \\cot x = \frac{cosx}{sinx} or \frac{1}{tanx} \\tan x = \frac{1}{cotx} or \frac{sinx}{cosx} \\sec x = \frac{1}{cotx}[/tex]

No matter what the value of x (the angle degree amount) is, sin²x+cos²x is equal to 1

When given a side length of a right triangle you will be able to use one of these identities to find the angle amount

A. 3x² +6

(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions

... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses

... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms

... = 3x² +6

Answer:

10 feet

Step-by-step explanation:

Given,

Volume of right cylinder = 2000 π cubic feet.

Length ( l ) = 20 feet

To find : Radius ( r )

Formula : -

Volume of right cylinder = πr²h

πr²h = 2000 π

Divide π on both sides,

r²h = 2000

r² = 2000 / h

r² = 2000 / 20

r² = 100

= 10 x 10

r²= 10²

r = 10 feet

Hence,

the radius is 10 feet.

Answer:

5,814 inches cubed

Step-by-step explanation:

lengthxwidthxheight=volume of a rectangular prism.

19 times 17 times 18 equals 5,814 inches cubed. It is cubed because it is a three-dimensionsal shape. Hope this helps!

Answer:

377.6

Step-by-step explanation:

You do the ratio of 59/100 and then divide 640 by 100. Then you will get 6.4.

Multiply 59×6.4=377.6

area equation is pi*r^2. divide by pi then square root. so the answer is the square root of 40

Answer:

√40 centimeters

Step-by-step explanation:

Given :

Area of circle = 40π cm²

===========================================================

Formula for area of a circle :

Area = πr²

===============================================================

Equating the given term and formula to find r :

⇒ 40π = πr²

⇒ r² = 40

⇒ r = √40 centimeters

Answer:

m=-2 and b=3

Step-by-step explanation:

One way to find slope is to use rise over run (most useful when there is a graph). First find any two points along the line where it intersects with a point on the grid. (1,1); (2,-1) and (3,-3) are some examples. Then count how many spaces vertically and then horizontally it takes to get to the next point. In this case it is two spaces down (rise) and 1 space right (run). So rise/run = 2/1 =2. That is your slope. Because it is pointing downwards or decreasing we know it is a negative slope.

The y-intercept is just where the line intercepts with the y-axis. In other words, when x=0 what does y equal? Here it is 3.

Answer:

58 degrees

Step-by-step explanation:

90-32

=58

~rere

Answer:

angle b measures 58°

Explanation:

As we know that, the sum of complementary angles is always equal to 90°.

Therefore,

angle a + angle b = 90°

32° + angle b = 90°

angle b = 90° - 32°

angle b = 58°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

Step-by-step explanation:

Slope-intercept form of a linear equation: y = mx + b

Problem 17: y = -4x + 2

Problem 18: y = 1/7x - 5

Problem 19:

y = 1x + 3

Hope this helps!

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = -4x + 2

When comparing both equations, we can observe that:

Therefore, the slope and the y-intercept are -4 and 2 respectively.

Determining the coordinates of the y-intercept;

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, 2)

________________________________________________________

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = x/7 - 5

When comparing both equations, we can observe that:

Therefore, the slope and the y-intercept are x/7 and -5 respectively.

Determining the coordinates of the y-intercept;

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, -5)

________________________________________________________

Clearly, we can tell that the equation is in slope intercept form.

Formula:

Slope intercept form: y = (m)x + (b)      [m = Slope; b = y-intercept]

Let us compare the slope intercept form equation with the given equation to determine the slope and the y-intercept.

⇒ y = (m)x + (b) and y = 1x + 3              [x = 1x]

When comparing both equations, we can observe that:

Therefore, the slope and the y-intercept are 1 and 3 respectively.

Determining the coordinates of the y-intercept;

Note: The y-intercept of the line ALWAYS has an x-coordinate of 0.

⇒ Coordinates of y-intercept: (0, y-intercept) ⇒ (0, 3)

Answer: 1.5 (Decimal Form) or 3/2 (Exact Form)

Step-by-step explanation:

So what you do is put the whole number which in this case is 4, into a fraction so your problem will look like this:

3 / 8 * 4 / 1 =

Then, you will have to multiply all the numbers across:

3 * 4 = 12

8 * 1 = 8

Your answer will then look like this:

12 / 8

You will have to simplify with the greatest common factor which would be 4:

12 / 4 = 3

8 / 4 = 2

So, you get your answer:

3 / 2 or 1.5

Answer: Its 10 ft

Step-by-step explanation: because if one side is the number the other side is going to be the same number

please choose me as brainly

The amplitude is equal to 3, the period is π midline y = -1.

For this case the amplitude is given by:

A = (l-5l + 1) / 2

A = 6/2

A = 3

The middle line is given by:

y = -1

The period of the function is given by,

T = l x2 - x1 l

T = l 0 - pi l

T = l - pi l

T = pi

Therefore the amplitude: 3; period is π; midline: y = -1.

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Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

-8 = 20 + b

Subtract 20 from both sides

-8 = 20 + b

-20  -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

Answer:

see below

Step-by-step explanation:

342 m/s    *  1.09361329834  yd /m  *  1 mile / 1760 yards = .21251 mi/s

1500 mi / hr  *   1609.344 meters / mile   * 1 km / 1000 m = 2414 km/hr

Answer: Choices A and C

Reason:

Answer:  C - 15.81

Step-by-step explanation:

pythagorean theorum: a^2 + b^2 = c^2

13^2 + 9^2 = c^2

169 + 81 = c^2

c^2 = 250

root both sides

c = 15.81

Answer:

height = 5.682 meters

Step-by-step explanation:

height = -9.8x^2 + 7x + 3

Find the axis of symmetry: x = -b/(2a)

a = -9.8 b = 7 c = 3

x = -7/(2*-9.8) = -7/-19.6 = .357 = x = +.357 secs is when max height occurs

Find the height, replace x with .561

height = -9.8(.357^2) + 11(.357) + 3

height = -9.8(.127) + 11(.357) + 3

height = -1.245+3.927+3

height = 5.682

https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.292302.html

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Answer:  [tex]823.9ft^{2}[/tex]

Step-by-step explanation:

The formula for the area of a parallelogram is : [tex]l * w * h[/tex]

l = length

w = width

h = height

You did not specify which integer was which, but it does not matter as the order in which you multiply them together does not matter.

10.7 * 5.5 * 14 = 823.9

Since you are finding the area, you have to square the units; 823.9 ft^2

If you found this answer helpful, I would greatly appreciate it if you gave me brainliest :D.

Answer: 15

Step-by-step explanation:

By the alternate interior angles theorem, [tex]5x+9=84 \longrightarrow x=\boxed{15}[/tex]

Answer:

he will get a total of 41%

Julieta has a job for $49000 which increases at the rate of 3% per year, so the money earned after 21 years is $79870.

A quick and simple way to figure out interest on that money is to use the simple interest approach, which adds interest at the same rate for each daily cycle, and it is to the initial principal amount.

A way to figure out how much interest will be charged on an amount of money at a specific rate and for a specific duration of time is by using simple interest.

As per the information received from the question,

Principle amount, P = $49000

Rate, R = 3%

Time, T = 21 years.

SI = ($49000 × 3 × 21)/100

SI = 30870

So, the total amount earned in 21 years is $30870, and the total money he is having after 21 years is $79870.

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Answer: 1000

Step-by-step explanation: V=a to the 3rd power=10 to the 3rd power=1000

Answer:

Step-by-step explanation: