When the sum of the internal angles of a polygon is 10 right angles, then  how many sides does it have? ​

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

Answer:

(2n-1)(n-5)

Step-by-step explanation:

2n2-11n+5

2n2-10n-1n+5

(factorize)

2n(n-5)-1(n-5)

(2n-1)(n-5)

Answer:

Just divide y by x for every single term, and if they get the same quotient, they are proportional.

For example:

x   y

2   4         Divide 4/2. This equals 2.

6  12        Divide 12/6. This equals 2.

4   8         Divide 8/4. This equals 2.

Therefore, these quantities are proportional.

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Answer: B

Step-by-step explanation:

Well if it's a greater than statement you can rule out C and D because those are less than symbols ( > = Less,  < = Greater) It can't be A because thats his starting amount. The x means how many months it will take for him to get more than 70 stamps

The point P is on the perpendicular line to AB that passes through its midpoint.

We know perpendicular lines have opposite-reciprocal slopes.

So the line we are looking for has a slope of 7/5.

Use the point-slope equation to find the line:

Choose any form above of the same line.

Answer:

\(\textsf{Slope-intercept form}: \quad y=\dfrac{7}{5}x-\dfrac{19}{5}\)

\(\textsf{Standard form}: \quad 7x-5y=19\)

Step-by-step explanation:

A perpendicular bisector is a line that intersects another line segment at 90°, dividing it into two equal parts.

To find the perpendicular bisector of segment AB, find the slope of AB and the midpoint of AB.

Define the points:

Slope of AB

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-6-4}{9-(-5)}=\dfrac{-10}{14}=-\dfrac{5}{7}\)

Midpoint of AB

\(\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)=\left(\dfrac{9+(-5)}{2},\dfrac{-6+4}{2}\right)=(2,-1)\)

If two lines are perpendicular to each other, their slopes are negative reciprocals.

Therefore, the slope of the line that is perpendicular to line segment AB is ⁷/₅.

Substitute the found perpendicular slope and the midpoint of AB into the point-slope formula to create an equation for the line that is the perpendicular bisector of line segment AB:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-(-1)=\dfrac{7}{5}(x-2)\)

\(\implies y+1=\dfrac{7}{5}x-\dfrac{14}{5}\)

\(\implies y=\dfrac{7}{5}x-\dfrac{14}{5}-1\)

\(\implies y=\dfrac{7}{5}x-\dfrac{19}{5}\)

Therefore, the formula that expresses the fact that an arbitrary point P(x, y) is on the perpendicular bisector of segment AB is:

\(\textsf{Slope-intercept form}: \quad y=\dfrac{7}{5}x-\dfrac{19}{5}\)

\(\textsf{Standard form}: \quad 7x-5y=19\)

Answer:

8.5 feet

Step-by-step explanation:

1.5 times 4

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Hey there!

The answer is 72 - 2n.

"twice a number" represents a number multiplied by 2. So we have "2n"

"decreased by twice a number" would mean subtracting twice a number, or subtracting "2n".

"72 decreased by" means that we are subtracting the number FROM 72, so we get "72 - 2n".

Have a super awesome day! :)

what if multiple twenty times four it gives you twenty eight

[1, 3] - f is continuous on this interval.b) (1, 3) - f is continuous on this interval.c) [1, 2] - The left-hand limit of f does not exist at x = 2.d) (1, 2) - The left-hand limit of f does not exist at x = 2.e) [2, 3] - f is continuous on this interval. f ) (2, 3) - The right-hand limit of f does not exist at x = 2.

A function is a block of code that performs a specific task, and can be reused multiple times. Functions can be defined within a program, or can be imported from an external library or from another program. Functions are useful for abstracting away complex code, making it easier to read and debug. They can also help reduce code duplication and make code easier to maintain.

(a) [1, 3] – f is continuous on this interval since it is continuous at all points in the interval.

(b) (1, 3) – f is continuous on this interval since it is continuous at all points in the interval.

(c) [1, 2] – f is not continuous on this interval since it is not continuous at x = 2. The condition for continuity is not satisfied at this point.

(d) (1, 2) – f is not continuous on this interval since it is not continuous at x = 1. The condition for continuity is not satisfied at this point.

(e) [2, 3] – f is continuous on this interval since it is continuous at all points in the interval.

(f) (2, 3) – f is not continuous on this interval since it is not continuous at x = 2. The condition for continuity is not satisfied at this point.

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Complete questions as follows-

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

ANSWER

A) Amplitude: 8

Period: 2π/3

Phase shift: Right π/12

EXPLANATION

A sine function can be written in the form,

Where A is the amplitude, C is the phase shift left and D is the vertical shift. B is related to the period as follows,

In this case, the given function is,

We can see that A = 8, D = -5 and B = 3. Hence, the amplitude is 8 and we have to use the other data to find the phase shift and the period.

If B is 3, then the period is,

To find the phase shift, we have to factor out B,

C is negative, so the phase shift is to the right.

In summary, the amplitude is 8, the period is 2π/3 and the phase shift is π/12 to the right.

Answer:

D

Step-by-step explanation:

to find the coterminal angles add/ subtract 360° to the given angle

- 255° + 360° = 105°

- 255° - 360° = - 615°

The amount is an illustration of compound interest and the future amount is $283.81

The given parameters are:

The function of the future amount is given as:

\(A = Pe^{rt}\)

So, we have:

\(A = 200 * e^{5\% * 7}\)

Evaluate

A = 283.81

Hence, the future amount is $283.81

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Answer:

The answer is 7

Step-by-step explanation:

Answer:

sguubztg mp and former president elect of couple of couple have started to download the books and Brave new home in school and Brave people to subscribe our own home

a) The equation for Bueller's height above the ground as a function of time is: h(t) = 9 cos(πt/8) + 1.5

b) When Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.

In mathematics, a function is a rule that assigns a unique output value to each input value in a specified set. More precisely, a function is a set of ordered pairs (x, y) where each x-value (the input) corresponds to exactly one y-value (the output).

In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. An equation consists of two sides, the left-hand side, and the right-hand side, separated by an equal sign (=).

According to the given information,

a) To determine an equation for Bueller's height above the ground as a function of time, we can use the equation for the height of a point on a Ferris wheel:

h(t) = r cos(ωt) + h0

where:

1) h(t) is the height of the point above the ground at time t

2) r is the radius of the Ferris wheel

3) ω is the angular velocity of the Ferris wheel (in radians per second)

4) t is the time elapsed since the point was at its lowest position

5) h0 is the initial height of the point above the ground

In this case, we know that Bueller boards the Ferris wheel at a height of 1.5 m off the ground, so h0 = 1.5 m. The radius of the Ferris wheel is 9 m, and it rotates once every 16 seconds, so the angular velocity is:

ω = 2π / T = 2π / 16 = π / 8 radians per second

Therefore, the equation for Bueller's height above the ground as a function of time is:

h(t) = 9 cos(πt/8) + 1.5

b) To find Bueller's height off the ground when he has been on the ride for 1 minute and 30 seconds (or 90 seconds), we can substitute t = 90 into the equation for h(t):

h(90) = 9 cos(π(90)/8) + 1.5

h(90) = 9 cos(11.25π) + 1.5

Using a calculator, we get:

h(90) ≈ -6.3 m

Note that the negative sign means that Bueller is below ground level, which is not physically possible. This occurs because we started counting time from the bottom of the wheel, so 90 seconds corresponds to the bottom position plus 5 and a half rotations. To fix this, we can add a multiple of the period T = 16 seconds to t to bring it back to the correct range:

h(t) = 9 cos(πt/8) + 1.5

h(90 + 5T/2) = 9 cos(π(90 + 5T/2)/8) + 1.5

h(90 + 5T/2) = 9 cos(π(2 + 5/16)) + 1.5

h(90 + 5T/2) ≈ 10.5 m

Therefore, when Bueller has been on the ride for 1 minute and 30 seconds, his height above the ground is approximately 10.5 m.

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Answer:

looks like A, first answer, is correct when using n such that it names what value of the sequence to use like a1 = 4 and so on.

Step-by-step explanation:

Answer:

yos

Step-by-step explanation:

no I cant

Answer:

500 words per minute.

Step-by-step explanation:

Step-by-step explanation:

i and iii are correct. you are supposed to substitute and find the correct value

The relationship between x and y points is a linear relationship of the form:

y = mx + b

where m is the slope of the line, and b is the coordinate y for the y-intercept.

Now, by definition, we have that the slope of the line is given by:

where (X1,Y1) and (X2,Y2) are given points on the graph.

In our case, we can take

(X1, Y1) =(2,-1)

(X2,Y2) = (3,2)

then, te slope of the line would be:

then m = 3 and the new equation for our graph would be:

y = 3x+b

Now, to find b, take any point (x,y) on the graph. In this case, for example

(x,y) = (3,2) and replace this point in the above equation:

2= 3(3) + b

solve for b:

2-9 = b

then b = -7 and we can conclude that the equation for our graph is:

y = 3x-7

Answer:

$17.50

Step-by-step explanation:

2 goes into 7 3 times, and 5 times 3 is $15.00, so theres one shirt left. If 2 shirts cost $5, one will cost $2.50. So, 15+2.50= $17.50

Answer:

1.sowwy I dunno

2.its so good and it's perfect

3.i dunno ulet hehe

Step-by-step explanation:

Sorry walang matino na sagot.

Answer:

{-2, 1}

Step-by-step explanation:

\(\frac{y+4}{2y} +\frac{y-2}{3} =\frac{3y^2+10}{6y}\)

Make the fractions have a common denominator.

\(\frac{3}{3} (\frac{y+4}{2y}) +\frac{x}{y} (\frac{y-2}{3}) =\frac{3y^2+10}{6y}\\\frac{3y+12}{6y} +\frac{2y^2-4y}{6y} =\frac{3y^2+10}{6y}\\\frac{2y^2-y+12}{6y} =\frac{3y^2+10}{6y}\)

Now that both sides of the equation have a common denominator, you can cancel out the denominators.

\(2y^2-y+12=3y^2+10\)

Now, set the equation equal to zero and factor.

\(2y^2-y+12=3y^2+10\\-y^2-y+2=0\\(-y-2)(y-1)=0\\\\-y-2=0\\y=2\\\\y-1=0\\y=-1\)

The y-values are {-2, 1}

The expression to make a true equation: (xyz)² - 1 = (____) x (xyz - 1) is (xyz + 1) using difference of two squares.

Considering two numbers a and b, the difference of their squares written as a² - b² is equal to the the product of the sum of the numbers and the difference of the numbers, that is (a + b)(a - b).

From the question, the expression: (xyz)² - 1 can be expressed as the difference of two square as follows:

(xyz)² - 1 = (xyz)² - 1

(xyz)² - 1 = (xyz - 1) × (xyz + 1)

Therefore, the expression (xyz + 1) will make the equation: (xyz)² - 1 = (____) x (xyz - 1) true using difference of two squares.

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