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The sequence is an arithmetic sequence

The equation of tn is Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)

From the question, we have the following parameters that can be used in our computation:

-k^2 - k + 1, k + 2, k^2 + 3k + 3, 2k^2 + 5k + 4

The above sequence is an arithmetic sequence

And the common difference (d) is

d = k + 2 + k^2 + k + 1

d = k^2 + 2k + 3

The nth term is then calculated as

Tn = a + (n - 1)d

So, we have

Tn = -k^2 - k + 1 + (n - 1) * (k^2 + 2k + 3)

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Answer:

The answer is -285

Step-by-step explanation:

In mathematics, a line's slope, also known as its gradient, is numerical representation of line's steepness and direction. The equation will be \(y= \frac{-1}{3}x +5\).

In mathematics, a line's slope, also known as its gradient, is numerical representation of  line's steepness and direction. The letter m is the frequently used to represent slope; the reason for this usage is unclear, although it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of the equation for the straight line as "\(y = mx + b\)" and "\(y = mx + c\)," respectively.

The ratio of "vertical change" to "horizontal change" between the (any) two unique points on a line is used to compute slope. The ratio can also be written as a quotient ("rise over run"), which produces the same number for every two distinct points on the same line. A declining line has a negative "rise." The line might be useful, as determined by a road surveyor, or it might appear in a diagram that represents a road or a roof as a description or design.

Let, x= -3, x1= -2, y= 5, y1= 2

Then,

slope= \(\frac{x-x1}{y-y1} = \frac{-3-(-2)}{5-2} =\frac{-1}{3}\)

now,

y= mx+c

y= \(\frac{-1}{3}\)x+ 5

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Given:

The geometric sequence is

To find the common ratio,

Hence the common ratio, r is 14/35.

The composition of function is g ( x ) f ( x ) = 5x⁴ - 40x

Given data ,

Let the first function be g ( x ) = x³ - 8

Let the second function be h ( x ) = 5x

So, the composition of functions , g(x) x h(x) would be:

(x³ - 8) (5x)

We can distribute the multiplication to get:

5x ( x³ ) - 5x ( 8 )

On simplifying , we get

A = 5x⁴ - 40x

Hence , the result of the operation g(x) x h(x) is 5x⁴ - 40x

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Answer:

so its means that ahmad can blow balloons at fastest rate...

Step-by-step explanation:

Saima:

15b = 20min

1 b = 1 min 20sec

Sarah;

18b = 25min

1 b = 1 min 23sec

ahmad;

16b = 21min

1 b = 1 min 19sec

Bilal;

12b = 23min

1 b = 1 min 55 sec

HOPE ITS HELPSS......

The measure of the angles are;

X = 38 degrees

Y = 52 degrees

To determine the angles, we need to know the properties of a kite.

These properties includes;

Then, we can say that;

Y= 52 degrees

Note that the sum of the angles in a triangle is 180

Then, we get;

X + Y+ 90 = 180

X = 180 - 142

Subtract the values

X = 38 degrees

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Answer:

45 + 35x

Step-by-step explanation:

To simplify

multiply the outside number by the inside

also, the negative and the negative multiply together to make a positive number.

Answer:

35x + 45

Step-by-step explanation:

-5(-9 - 7x)

Distribute or expand the brackets.

-5(-9) - 5 (-7x)

45 + 35x

Answer:

The graphs are very blurry, here is the image of the correct answer.

Step-by-step explanation:

Answer:

This is his alt! Please give other person brainliest!

Step-by-step explanation:

The payment she gets after 22 hours of working is $187.

According to the statement

We have to find that the total amount she earned.

So, For this purpose, we know that the

Straight-time pay is the total amount of money you earn in a given pay period.

From the given information:

Sally Barrett, a banjo player for a local band, earns $8.50 per hour.What is her straight-time pay for a week in which she worked 22 hours?

Then

The amount she get as a rate per hour = $8.50

And

The time for which she works =  22 hours

Then

Pay she get after the work of the 22 hours = $8.50 * 22

Then

Pay she get after the work of the 22 hours = $8.50 * 22

Now multiply these to get the answer

Pay she get after the work of the 22 hours = $187

So, The payment she gets after 22 hours of working is $187.

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Answer:

It's height is 2.35 * 11 = 25.85 cm

Hope it helps..

Answer:

paningkamot dong HAHAHAHAHHA

The center of a dilation is a fixed point in the plane about which all points are expanded or contractedAnswer:

Step-by-step explanation:

Answer: 20.25 carb per gram

Step-by-step explanation:

Given: 1 gram fat = 9 calories, 1 carb per gram =4 calories.

To convert:  9 grams of fat to carbs.

Consider  1 gram fat = 9 calories

i.e. 1 calorie = \(\frac19\) gram fat  [divide both sides by 9]

1 carb per gram =4 calories.

= 4 x ( 1 calorie)

= \(4\times\frac19\) gram fat

= \(\frac49\) gram fat

Now, 1 gram fat = \(\frac94\)carb per gram

thus,

9 grams of fat = \(9\times\frac94\) carb per gram

=\(\frac{81}{4}\) carb per gram

= 20.25 carb per gram

Hence, 9 grams of fat = 20.25 carb per gram

Answer:

We are learning median, mean, range, and stuff related to that and box plots etc...

and I think its the first quartile.

Step-by-step explanation:

CHILD ANYWAYSSSS SOOOOO... YEAH ITS THE 1ST QUARTILE.

BYE HAVE A NICE BOO.

Float rate_of_pay  a declaration for a variable rate_of_pay that can hold values like 11.50 or 12.75.

What is   float rate_of_pay?

Is a fixed or floating rate preferable?

float rate_of_pay

rate_of_pay = 11.50, 12.75;

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The value of α + β  is 4. Then the value of the expression 2⁻¹ x (α + β)² will be 8.

Let the equation be ax² + bx + c = 0 and the roots are α and β.

Then the sum of the roots will be

α + β = - b / a

And the product of the roots will be

α · β = c / a

The quadratic equation is given below.

x² - 4x + 1 = 0

The sum of the roots of the equation is given as,

α + β = - (-4) / 1

α + β = 4

Then the value of the expression will be given as,

⇒ 2⁻¹ x (α + β)²

⇒ 2⁻¹ x (4)²

⇒ 16 / 2

⇒ 8

The value of the expression 2⁻¹ x (α + β)² will be 8.

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Answer:

75 cents

Step-by-step explanation:

3 dollars divided by 4 lemons would equal 75 cent per lemon.

In decimal form it is 0.75 dollars :)

Answer:

x = 135°

Step-by-step explanation:

6 sided polygon = hexagon

The sum of the interior angles of a hexagon = 720°

⇒ 4x + 90 + 90 = 720

⇒ 4x = 720 - 90 - 90

⇒ 4x = 540

⇒ x = 540 ÷ 4

⇒ x = 135°

Answer:

2x + 2y = -2

Step-by-step explanation:

you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions

Answer:

y - 1 = -2(x - 3)

Step-by-step explanation:

Point slope form is y1 - y2 = m(x1 - x2)

We are given a point that we'll label as (x2,y2):  (3,1)

Slope, m, is -2

We then have:

y1 - y2 = m(x1 - x2)

y - 1 = -2(x - 3)

Answer:

20

Step-by-step explanation:

12 (2 + ) − (4 + )

24-4

=20

Answer:

20

Step-by-step explanation:

Answer:

7a

Step-by-step explanation:

your multiplying a 7 times so this is how you right it

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We are given the function, \(\underline{f(x)=x^3-9x^2+20x-12}\), and are asked to find the x and y intercepts of the function.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

What is an intercept?

An intercept is where the graph of a function cross either the x or y axis. The x-intercept(s) crosses the x-axis and the y-intercept(s) crosses the y-axis.

How do find the x-intercept(s)?

To find the x-intercepts let y in your function equal zero, then solve for x.

How do find the y-intercept(s)?

To find the y-intercepts let x in your function equal zero, then solve for y.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Refer to the attached image for the rest.

The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

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Answer:

The slope is -2 and initial value is -1