If there are 10 terms of the sequence {2, 7, 12, 17, ...}, what is its mean?​

Answer:

6 chicken sandwiches to 4 veggie sandwiches

Step-by-step explanation:

I took the quiz.

Answer:

c

Step-by-step explanation:

where's the trust?

The length of one side of the box, in meters, is 0.138 meters.

The density of water is approximately 1000 kg/m^3 or 1 g/cm^3. If a cubic box is filled with 2650 g of water, we can find the volume of the box and then find one side length.

Volume = Mass / Density = 2650 g/(1 g/cm^3) = 2650 cm^3

Since the box is cubic, one side length is the cube root of the volume.

Side length = (Volume)^(1/3) = (2650 cm^3)^(1/3) = 13.8 cm

To convert cm to meters, divide by 100:

Side length = 13.8 cm/100 cm/m = 0.138 m

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Transformation that changes the size of a shape is referred to as dilation.

The center of dilation

From the diagram (see attachment), the triangles share a common vertex at (-1,1)

This means that, the center of dilation is (-1,1)

The scale factor of dilation

To do this, we divide the side length of the small triangle with the corresponding side of the large triangle.

From the attached image:

\(\mathbf{Base\ of\ small\ triangle = 1}\)

\(\mathbf{Base\ of\ large\ triangle = 5}\)

So, the scale factor (k) from large to small is:

\(\mathbf{k = \frac{Base\ of\ small\ triangle}{Base\ of\ large\ triangle} }\)

\(\mathbf{k = \frac{1}{5} }\)

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Step-by-step explanation:

rs= 6x-18 +6

= 6x-12

12 = 6x

12/6 =x

x=2

rt= 8x-24

24=8x

24/8=x

3=x

i hope this helps u

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

Explanation:

You move the decimal point two spots to the left to go from 2.85% to 0.0285

Or you can think of it like this:

2.85% = (2.85)/100 = 0.0285

since "percent" means "per 100"

Answer:

The Alps are the youngest mountain range in Europe, having formed approximately 65 million years ago. As well as mountains, the Alps are famous for it's clear Alpine lakes, including the stunning Lake Geneva, Lake Constance and Lake Como.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The slope of the line is basically the gradient so I used the formula

(y2-y1) / (x2 - x1) which gives (-5-1) / (3-0) = 2

a. Here's how you can represent the given equation in the Direct-Form 2:
y(n) = x(n) + a1 * y(n-1) + a2 * y(n-2)

b. you need to substitute this input signal into the difference equation and solve for y(n).

c. To find the total solution, you need to sum the zero-state solution and the zero-input solution.

a) To implement the system defined by the given difference equation using the Direct-Form 2, you can break down the equation into a set of smaller equations.

The Direct-Form 2 implementation involves using two delay elements (z^(-1)) and one gain (a). Here's how you can represent the given equation in the Direct-Form 2:

y(n) = x(n) + a1 * y(n-1) + a2 * y(n-2)

Where a1 and a2 are the coefficients of the y(n-1) and y(n-2) terms respectively. In this case, a1 = -1 and a2 = -2.

b) The particular solution of the equation refers to the solution that satisfies the given input signal. In this case, the input signal x(n) is given as (-1)^n * u(n). To find the particular solution, you need to substitute this input signal into the difference equation and solve for y(n).

c) To find the zero-state solution, you need to assume that there are no initial conditions (y(-1) and y(-2) are both zero). You can substitute the given input signal x(n) and solve the difference equation to find the zero-state solution.

To find the zero-input solution, you need to assume that the input signal is zero (x(n) = 0). You can then solve the difference equation with the given initial conditions to find the zero-input solution.

To find the total solution, you need to sum the zero-state solution and the zero-input solution.

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On solving the provided question, we can say that 1 degree = 3600 arc seconds and 1 degree = 60 arc minutes.

A 160 degree angle is measured in arc minutes, often known as arcmin, arcmin, arcmin, or arc minutes (represented by the sign '). One minute is equal to 121600 revolutions, or one degree, hence one degree equals 1360 revolutions (or one complete revolution). A degree, also known as a complete angle of arc, angle of arc, or angle of arc, is a unit of measurement for plane angles in which a full rotation equals 360 degrees. A degree is sometimes referred to as an arc degree if it has an arc of 60 minutes. Since there are 360 degrees in a circle, an arc's angles make up 1/360 of its circumference.

1 degree = 3600 arc seconds

1 degree = 60 arc minutes

A. 2 degree 18'36 = 2 + 18/60 + 36 / 2600 = 231 / 100 degree

B. 36 ′ 18 ′′ = 36/60 + 18/2600 = 121 / 200 degree

C. 7 degrees 59′ 59′′ = 7 + 59 / 60 + 59 / 3600 = 28799 / 3600 degree

D. 1' = 1/60 degree

F. 1" = 1/3600 degree

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Answer:

536.9

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

8 times 15 is 120 then you multiple it to s which is 120s then you multiple 15 and 11 then 8 which is 1320 and then you divide 1320 with 120 then you get 11 as your answer

Answer:

11

Step-by-step explanation:

The (x, y) coordinates of point P are approximately (31.19, 20.67).

It is stated that the point P lies at a distance of r = 37 units from the origin and forms an angle of θ = 35° with respect to the x-axis, we can use trigonometry to find the x and y coordinates.

Using the trigonometric definitions, we have,

x = r * cos(θ) = 37 * cos(35°) ≈ 31.19

y = r * sin(θ) = 37 * sin(35°) ≈ 20.67

Therefore, the approximate (x, y) coordinates of point P are (31.19, 20.67). The coordinates (31.19, 20.67) represent the position of point P in the Cartesian coordinate system based on the given distance and angle measurements.

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Complete question - A point P lies in a plane and is a distance of r = 37 units from the origin of a Cartesian coordinate system. If the line joining the point and the origin makes an angle of = 35° degrees with respect to the x-axis, what are the (x, y) coordinates of the point P?

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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The average of children per household is approximately 2.1387931034482758.

What is average ?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

To compute the average number of children per household, you would add up the total number of children in all the surveyed households and divide that number by the total number of households surveyed. You can use the following formula:

Average = (Sum of (children x frequency)) / (Total number of households surveyed)

Children Frequency Children x Frequency

0         2                 0

1         8                 8

2         10                 20

3         4                 12

4         3                 12

5         2                 10

Sum of (children x frequency) = 8 + 20 + 12 + 12 + 10 = 62

Total number of households surveyed = 2 + 8 + 10 + 4 + 3 + 2 = 29

Average = 62 / 29 = 2.1387931034482758

So the average number of children per household is approximately 2.1387931034482758

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Answer:

No of these answers has a slope of  \(\frac{-3}{5}\) . My guess is B becasue its close to \(\frac{-3}{5}\) unless the 5 is supposed to be negative

Step-by-step explanation:

You have to use the slope formula \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

(\(x_{1}\),\(y_{1}\)), (\(x_{2}\),\(y_{2}\))

(4, 0), (-2, 10)   \(\frac{10 - 0 }{-2 - 4 }= \frac{10}{6}\) you have to simplfy, the answer will be \(\frac{5}{3}\)

(10, -2), (0, 4)  \(\frac{4 - -2 }{0- 10 }= \frac{6}{-10}\) you have to simplfy, the answer will be \(\frac{3}{-5}\)

 (4, 2), (10, 4)  \(\frac{4 - 2 }{10 - 4 }= \frac{2}{6}\) you have to simplfy, the answer will be \(\frac{1}{3}\)

 (-4, -10),(0, -2) \(\frac{{-2- -10} }{0 - -4 }= \frac{8}{4}\) you have to simplfy, the answer will be \(\frac{2}{1} =2\)

Recall that

cos(a + b) = cos(a) cos(b) - sin(a) sin(b)

cos(a - b) = cos(a) cos(b) + sin(a) sin(b)

and by subtracting the first equation from the second, we get

cos(a - b) - cos(a + b) = 2 sin(a) sin(b)

So, we can write

sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))

and expanding the left side in the original equation gives

sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)

… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

Similarly, recall that

sin(a + b) = sin(a) cos(b) + cos(a) sin(b)

sin(a - b) = sin(a) cos(b) - cos(a) sin(b)

===>   sin(a + b) + sin(a - b) = 2 sin(a) cos(b)

Then

cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))

and

cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))

So we have

sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)

… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))

… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)

… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))

as required.

its b

i have covid and want to know what to do

The special two-item character sequence that represents special characters like \n is known as an Escape Sequence. So the option B is correct.

An escape sequence is a sequence of characters that does not represent itself when used inside a character or string literal, but is translated into another character or a sequence of characters. It is used to signal an alternative interpretation of a series of characters. Common examples are the escape sequences used in C/C++ and other programming languages, such as "\n" for newline, "\t" for tab, and "\\" for a backslash. So the option B is correct.

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The complete question is:

The special two-item character sequence that represents special characters like \n is known as a(n) ?

a. backslash code

b. escape sequence

c. Unicode spec

d. literal character

The result of the division is x² – 8x + 5 with a remainder of 9/(x-2).

To perform synthetic division, we set up the problem like this:

        2 |   1   -10   21   -1

           |_______2____-16__10

              1    -8   5     9

Therefore, when x³ – 10x² + 21x – 1 is divided by x – 2, we get:

x³ – 10x² + 21x – 1 = (x – 2)(x² – 8x + 5) + 9

So the quotient is x² – 8x + 5, the remainder is 9, and the result can be expressed as:

x³ – 10x² + 21x – 1 = (x – 2)(x² – 8x + 5) + 9/ (x – 2)

Therefore, the result of the division is x² – 8x + 5 with a remainder of 9/(x-2).

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A relationship have the same constant of proportionality between y and x as the equation 3y = 27x include the following: A, B, and C.

In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the required equation as follows:

3y = 27x

y = 27x/3

y = 9x

By multiplying both sides of the equation by 2, we have:

y = 9x

2y = 18x

Constant of proportionality, k = 9/1 = 9.

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Answer:

32 seconds

Step-by-step explanation:

Answer:

2.5 meters in a second.

Step-by-step explanation:

I'm assuming it's how many meters per second.

meters : seconds

  40     :      16

  10      :       4

  2.5    :     1

Thus, the total length of lap covered to get the seven different obstacles is found as: 52 units.

the Pythagorean theorem is used to calculate the distance between two locations using the distance formula. The Pythagorean theorem can be rewritten as d = √((x2 - x1)²+(y2 - y1)²)  to calculate the separation between any two locations.

Given data:

Points on  y-axis and an x-axis are given,

M(-3,5), F(8,5), G(8,2), H(3,2), I(3,-5), J(-8,-5), K(-8,-2), and L(-3,-2).

Starting and ending point is F.

Points lies between the starting and ending are-

F ,G, H, I, J, K, L, M, F

Total length = sum of all length

d = √((x2 - x1)²+(y2 - y1)²)

FG =  √((8 - 8)²+(2 - 5)²)

FG =  √9

FG =  3

GH =  √((8 - 3)²+(2 - 2)²)

GH  =  √25

GH =  5

HI =  √((3 - 3)²+(2 + 5)²)

HI  =  √49

HI  =  7

IJ =  √((3 + 8)²+(-5 + 5)²)

IJ =  √121

IJ =  11

JK =  √((-8 + 8)²+(-2 - 5)²)

JK =  √9

JK =  3

KL =  √((-8 + 3)²+(-2 + 2)²)

KL =  √25

KL =  5

LM =  √((-3 + 3)²+(-2 - 5)²)

LM =  √49

LM =  7

MF =  √((8 + 3)²+(+5 - 5)²)

MF =  √121

MF =  11

Total length = 3 + 5 + 7 + 11 + 3 + 5 + 7 + 11

Total length = 52 units

Thus, the total length of the lap covered to get the seven different obstacles is found as: 52 units.

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Answer:

Step-by-step explanation:

The factors of 12 and 15 common number is 3. You can do rows of 3 four times to get 12 rose bushes and rows of 3, five times to get 15 tulips.
4x3 = 12  and 5x3 = 15. This is how I understood the question.

Answer:

3

Step-by-step explanation:

the factors of 12 are

1,2,3,4,6,12

and the factors of 15 are

1,3,5,15

so the answer would be 3

( i did the quiz and got it right )

Twice a day for 20 minutes is the required time to realize that meditation practiced is beneficial for persons physical and mental health.

Meditation practiced helps person in different ways:

Twice a week is very less time and does not make consistency.

Incorrect option.

Several hours at a stretch is not possible for all individual and it is not practical .

Incorrect option.

Twice a day for 20 minutes is the best time and helps individual to practice  meditation.

Therefore, Option C. twice a day for 20 minutes is the best time for mediation.

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Step-by-step explanation:

can we just 180° minus with all the angle?

180° - 67° - 75° =

Answer:

0.003,0.032,0.302, and then 0.320

Step-by-step explanation:

Answer:

The value of k for which the equation has two negative roots is k < 1.

Step-by-step explanation:

To find the value of k for which the equation has two negative roots, we need to use the discriminant of the quadratic equation. The discriminant is the expression under the square root sign in the quadratic formula, and it determines the number and nature of the roots of the quadratic equation.

The quadratic equation in the picture is:

x^2 - 2(k - 3)x + 4k = 0

The discriminant of this equation is:

D = b^2 - 4ac

= (-2(k-3))^2 - 4(1)(4k)

= 4(k^2 - 10k + 9) - 16k

= 4k^2 - 56k + 36

For the equation to have two negative roots, the discriminant must be greater than zero and the coefficient of x^2 must be positive (since the leading coefficient is 1). So we have:

D > 0 and 4 > 0

Solving for k, we get:

4k^2 - 56k + 36 > 0

Dividing by 4 and simplifying, we get:

k^2 - 14k + 9 > 0

Factorizing the quadratic expression, we get:

(k - 1)(k - 13) > 0

The inequality is satisfied when either both factors are positive or both factors are negative. So we have two cases:

Case 1: (k - 1) > 0 and (k - 13) > 0

This gives us k > 13, which does not satisfy the condition that the roots should be negative.

Case 2: (k - 1) < 0 and (k - 13) < 0

This gives us k < 1, which satisfies the condition that the roots should be negative.

Therefore, the value of k for which the equation has two negative roots is k < 1.