. An architect is designing a new windmill with four sails. In her
sketch, the sails' center of rotation is the origin, (0,0), and the tip of one of the sails,
point
S, has coordinates (2,4). She wants to make another sketch that shows the windmill
after the sails have rotated 270° clockwise about their center of rotation. What would
be the coordinates of S?

Answer:

Here ya go mate

Answer:

Use attached images to see what graph should look like and plot points.

Step-by-step explanation:

Answer:

m = -6/5

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points (2,6) (7,0)

We see the y decrease by 6 and the x increase by 5, so the slope is

m = -6/5

the slope of the line is -1.2 or -1 1/5 or if not simplified -6/5

2= x1

6= y1

7=x2

0=y2

using the formula y2-y1/x2-x1

now set up the equation

0-6/7-2

-6/5

-1 1/5 or -1.2

Answer:

a^2+a-6

Step-by-step explanation:

i have attached your answer

The probability that a selected customer from satellite company y watches recorded shows more often than live television is 59%

From the complete question, we have the following parameters:

The number of satellite in company Y is:

Live = 94+ 65

Evaluate

Live = 159

The probability is then calculated as:

P(Recorded | Live) = 94/159

Evaluate

P(Recorded | Live) = 0.59

Express as percentage

P(Recorded | Live) = 59%

Hence, the probability is 59%

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Answer:

59

Step-by-step explanation:

The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

The perimeter is given as:

P =  15 + 2x + 7 + 15 + 2x + 7

Collect like terms

P =  2x + 2x + 7 + 15 +  15  + 7

Evaluate the like terms

P = 4x + 44

The area of the garden is given as:

A = 15(2x + 7).

Expand

A = 30x + 105

Manual's expression of the area is 30x + 7

Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105

The side length of Sasha's design is:

L = 3x + 5 in

So, the area is:

A = (3x + 5)^2

Expand

A = 9x^2 + 16x + 25

The difference between both areas is:

Difference = 9x^2 + 16x - 30x + 25 - 105

Evaluate

Difference = 9x^2 - 14x - 80

Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80

This is calculated using:

P = 4L

So, we have:

P = 12x + 20

The difference between both perimeter is:

Difference = 12x - 4x + 20 - 44

Evaluate

Difference = 8x - 24

Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The product of the matrices ( 5 6 ) and ( 1 7 ) is equal to 47.

The number of columns in the first matrix must equal the number of rows in the second matrix in order for two matrices to be multiplied. In this instance, the 1x2 multiplied by 2x1 matrix satisfies this requirement.

In many disciplines, such as computer graphics, physics, and engineering, matrix multiplication is a key idea in linear algebra. It can be used to transform data, determine eigenvalues and eigenvectors, and solve systems of linear equations.

To get the product of two matrices, we need to perform the dot product of each row in the first matrix with each column in the second matrix.

Given the matrices ( 5 6 ) and ( 1 7 ), we can perform the dot product as follows:

( 5 6 ) ( 1 7 ) = ( (5)(1) + (6)(7) )

= (5 + 42)

= 47

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Part a:Here, In be the number of n-digit quinary (0, 1, 2, 3, 4) sequences with(i) at least one 3 and (ii) the first 3 occurs before the first 0 (possibly no 0's).Since there is at least one 3 in the n-digit sequence, we start the sequence by selecting one of the 5 digits. There are five ways to do this.The next digits are chosen according to one of the three cases shown below:1) A string of (n-1) digits where no 0's are included in the string.2) A string of (n-1) digits where at least one 0 appears in the string before the first 3.3) A string of (n-1) digits where 3 appears before the first 0 in the string.The first string in case 1 can be formed in 4 different ways because no 0's can appear in the string and there are 4 digits to choose from (0, 1, 2, 4). There are 5 choices for the first digit and thus 5*4 quinary sequences of length n with at least one 3 and no 0's that start with the selected digit.The first string in case 2 can be formed in 5 different ways because the first 3 can appear in any position before the first 0. The remaining digits are chosen in n-2 positions because the first digit is already chosen (which is 3) and n-1 digits are left. There are 4 choices for each of the remaining n-2 positions because no 0's can appear in the string and there are 4 digits to choose from (0, 1, 2, 4). Thus, there are 5*5*4^(n-2) quinary sequences of length n with at least one 3 and at least one 0 that start with the selected digit.The first string in case 3 can be formed in n-1 different ways because the first 3 can appear in any position before the first 0. The remaining digits are chosen in n-2 positions because the first digit is already chosen (which is 3) and n-1 digits are left. There are 4 choices for each of the remaining n-2 positions because no 0's can appear in the string and there are 4 digits to choose from (0, 1, 2, 4). Thus, there are 5*(n-1)*4^(n-2) quinary sequences of length n with at least one 3 and at least one 0 that start with the selected digit.Therefore, the number of n-digit quinary sequences with (i) at least one 3 and (ii) the first 3 occurs before the first 0 (possibly no 0's) is the sum of the number of sequences in each of the three cases above, i.e.In = 5*4^(n-1) + 5*5*4^(n-2) + 5*(n-1)*4^(n-2)Part b:Recurrence: qn = 3q(n-1) + 4^(n-1) + 2.   q1 = 1. Let's see if qn = 39(n-1) + 5(n-1) satisfies this recurrence.q1 = 1 = 3(1-1) + 4^(1-1) + 2 = 0 + 1 + 2 = 3(0) + 5(1-1) + 1 = 0 + 0 + 1Thus, q1 = 1 satisfies the recurrence.qn+1 = 3qn + 4^n + 2 = 3(39n-1 + 5n-1) + 4^n + 2= 117(n-1) + 15(n-1) + 4^n + 2= 132(n-1) + 4^n + 3Using this formula, we can see that q2 = 91.Part c:Here, we need to finish the induction proof of this fact 2 that In = (n > 1).Induction Hypothesis: Assume true for n = k, i.e., Pk = Ik = 5*4^(k-1) + 5*5*4^(k-2) + 5*(k-1)*4^(k-2)Induction Step: To show that it is true for n = k+1, we need to show that the formula given above holds. The first digit can be any of the 5 digits (0, 1, 2, 3, 4) and the remaining digits can be selected in one of the three ways discussed in part (a).Case 1: n-1 digits with no 0'sThere are 4 choices for each of the n-1 digits, since 0 cannot be used. Therefore, there are 4^(n-1) such sequences with no 0's.Case 2: n-1 digits with at least one 0 before the first 3The first 3 can be in any of the n-1 positions, and the digits before it must be chosen from the set {0,1,2,4}. The remaining digits can be chosen in any of the 4 choices. Therefore, there are 5*(n-1)*4^(n-2) such sequences.Case 3: n-1 digits with 3 before 0We start by selecting one of the n-1 positions for the 3, then the remaining digits are chosen from the set {0,1,2,4}. There are (n-2) positions left for the remaining digits. There are 4 choices for each position, since 0 cannot be used. Therefore, there are 5*(n-1)*4^(n-2) such sequences.Thus, the total number of n-digit quinary sequences with at least one 3 and with the first 3 before the first 0 isIn = 5*4^(n-1) + 5*5*4^(n-2) + 5*(n-1)*4^(n-2) = qn+1 - qn = 132(n-1) + 4^n + 3 - (39(n-1) + 5(n-1)) = 93(n-1) + 4^n + 3which completes the induction proof.Part d:Since qn = 39n-1 + 5n-1, we haveqn+1 - qn = 132n - 39n - 5n = 88nTherefore, qn+1 = qn + 88nSubstituting qn = 39n-1 + 5n-1, we getqn+1 = qn + 88n = 39n-1 + 5n-1 + 88n = 39n + 5n + 88(n-1)Simplifying, we getqn+1 = 132(n-1) + 4^n + 3Therefore, en = In - In-1 = 93(n-1) + 4^n + 3 - 93(n-2) - 4^(n-1) - 3= 93n - 93(n-1) - 4^(n-1)= 93 - 4^(n-1)Thus, the closed form for en is en = 93 - 4^(n-1).

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The point where the line through (5, 2) with slope 4 crosses the vertical axis is (0, -18).

To do this, we can use the point-slope form of a line equation:

y - y1 = m(x - x1)

Here, (x1, y1) is the given point (5, 2) and m is the slope, which is 4. Let's plug in these values:

y - 2 = 4(x - 5)

Now, we need to find the point where the line crosses the vertical axis (y-axis). When a point is on the y-axis, its x-coordinate is 0. So, we will substitute 0 for x and solve for y:

y - 2 = 4(0 - 5)
y - 2 = -20
y = -20 + 2
y = -18

Therefore, the point where the line through (5, 2) with slope 4 crosses the vertical axis is (0, -18).

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Option c.  A = 1/2 bcSin A is the area of a traingle

The sine rule is a mathematical equation that links the side lengths of a triangle to the sines of its respective angles. The formula for determining the area in such a triangle is represented as follows:

A = (1/2) ab sin C

= (1/2) bc sin A

= (1/2) ac sin B

where a, b, and c symbolize the lengths of the triangle's sides while A, B, and C stand for the measures of their opposite angles.

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a)  P(X=330) is approximately 0.0002. b)P(X>340) is approximately 0.0294. c) P(335≤X≤345) is approximately 0.6415. d) P(X=300) is approximately 0.0004 of given probabilities

To find the probabilities using Excel's function options, we can use the binomial distribution function, which is provided as BINOM.DIST in Excel.

a) P(X=330):

=BINOM.DIST(330, 400, 0.8, FALSE)

The first argument is the specific value (330), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.

The result is approximately 0.0002.

Therefore, P(X=330) is approximately 0.0002.

b) P(X>340):

=1 - BINOM.DIST(340, 400, 0.8, TRUE)

Since we want the probability of X being greater than 340, we can subtract the cumulative probability of X up to 340 from 1. We use the TRUE argument to indicate that we want the cumulative probability.

The result is approximately 0.0294.

Therefore, P(X>340) is approximately 0.0294.

c) P(335≤X≤345):

=BINOM.DIST(345, 400, 0.8, TRUE) - BINOM.DIST(334, 400, 0.8, TRUE)

To find the probability of X being between 335 and 345 (inclusive), we subtract the cumulative probability of X up to 334 from the cumulative probability of X up to 345.

The result is approximately 0.6415.

Therefore, P(335≤X≤345) is approximately 0.6415.

d) P(X=300):

=BINOM.DIST(300, 400, 0.8, FALSE)

The first argument is the specific value (300), the second argument is the total number of trials (400), the third argument is the probability of success (0.8), and the fourth argument FALSE indicates that we want the probability for a specific value.

The result is approximately 0.0004.

Therefore, P(X=300) is approximately 0.0004.

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Answer:

125.

Given:

Step-by-step explanation:

As given in the question that the ratio is already given,

therefore,

1. The ratio of tourist of to locals

the ratio of tourist to local is 4:5

\(\frac{tourist}{locals}\)=\(\frac{4}{5}\)

2. Attendance of locals at the opening

here are 100 tourist at the opening

\(\frac{100}{locals} =\frac{4}{5}\)

locals= 125

locals are 125 in attendance.

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125 is the attendance of locals

The ratio of tourists to locals is 4:5

Tourists / Locals = 4 / 5

There are 100 tourists at the opening of the new museum

100 / locals = 4/5

locals = 500/4

locals = 125

The attendance of locals is 125.

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Answer: 180.

Step-by-step explanation:  x + 35 + 60 = 180.

Answer:

No

Step-by-step explanation:

The equation would be 32 times (1/2)^x.

Linear equations won't have exponents, because this is an exponential equation.

The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.

A variable that indicates a quantity being altered in an experiment is known as an independent variable. In equations, x is frequently used to denote the independent variable. A variable that indicates a quantity being altered in an experiment is known as an independent variable. Values that fluctuate in relation to one another are independent and dependent variables in mathematics.

Given.

The number of variables in a data collection whose values can fluctuate while others remain fixed is referred to as a degree of freedom. So, the third choice is the right one.

In other words, the number of values that can change in a statistical calculation is referred to as the degree of freedom.

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Answer:

6/7

Step-by-step explanation:

Your first step will be to find the slope of Line C. Using the slope formula of \(\frac{y_{2}-y_1 }{x_2-x_1}\), the slope of Line C is \(\frac{7-14}{7-1} = \frac{-7}{6}\).

If Line D is perpendicular to C, that means the slope is the negative reciprocal of Line C. So, that means the slope is 6/7.

Answer:

the 2nd answer choice

Answer:

Hey, its B. This ordinance made is so that new states could be added to the US.

Step-by-step explanation:

The law provided for the method by which new territories would be admitted to the United States. The government intended to encourage westward expansion.

The length of side LM in the triangle LMN is 6.75 cm.

Two figures are said to be similar if they are of the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram:

LM / HJ = JK / MN

LM / 4.5 = 9 / 6

LM = 6.75 cm

The length of side LM in the triangle LMN is 6.75 cm.

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Answer:

9/6 = LM/4.5

Epxlanation:

I go to K-12 and I did the test

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Therefore, the 1-unit growth factor for y is 3.24.

To calculate the 1-unit growth factor for y, we start with the given percent change. In this case, the percent change is 224%.

To convert this percent change to a decimal, we divide it by 100%. Thus, 224% divided by 100% equals 2.24.

Now, we add 1 to the decimal value. Adding 1 accounts for the original value of y and the 1-unit change.

So, the 1-unit growth factor for y is 3.24. This means that when y increases by 1 unit, it will be multiplied by 3.24.

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#1) (15-5) + 3² + 10

Parenthesis→ 10 + 3² + 10

Exponents→ 10 + 9 +10

Addition→ 29

#2) 2² + (2×2) - 2

Parenthesis→ 2² + 4 - 2

Exponents→ 4 + 4 -2

Addition→ 8 - 2

Subtraction→ 6

#3) 4² - (4×3) + 6 - 5

Parenthesis→ 4² - 12 + 6 - 5

Exponents→ 16 - 12 + 6 - 5

Subtraction→ 4 + 6 - 5

Addition→ 10 - 5

Subtraction→ 5

#4) (6÷3) + 5² - 2 × 2 + 1

Parenthesis→ 2 + 5² - 2 × 2 + 1

Exponents→ 2 + 25 - 2 × 2 + 1

Multiplication→ 2 + 25 - 4 + 1

Addition→ 27 - 4 +1

Subtraction→ 23 + 1

Addition→ 24

#5) 45 ÷ 9 + 11 × 3 - (3×2) + 3²

Parenthesis→ 45 ÷ 9 + 11 × 3 - (6) + 3²

Exponents→  45 ÷ 9 + 11 × 3 - 6 + 9

Division→ 5 + 11 × 3 - 6 + 9

Multiplication→ 5 + 33 - 6 + 9

Addition→ 38 - 6 + 9

Subtraction→ 32 + 9

Addition→ 41

#6) 60 - (3×5) + 10² + 4 ÷ 2 - 7

Multiplication→ 60 - 15 + 10² + 4 ÷ 2 - 7

Exponents→ 60 - 15 + 100 + 4 ÷ 2 - 7

Division→ 60 - 15 + 100 + 2 - 7

Subtraction→ 45 + 100 + 2 - 7

Addition→ 147 - 7

Subtraction→ 140

68 kilograms is approximately equal to 149.91416 pounds.

A kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI).

It is currently defined based on the fixed numerical value of the Planck constant, h,

Which is equal to 6.62607015 × 10-34 in the units of J·s.

A pound (symbol: lb) is a unit of mass used in the imperial and US customary systems of measurement.

The international avoirdupois pound (the common pound used today) is defined as exactly 0.45359237 kilograms.

To convert 68 kilograms to pounds,

We need to multiply the value in kilograms by 2.20462,

Since one kilogram is approximately equal to 2.20462 pounds.

Therefore,

68 kilograms multiplied by 2.20462 gives us:

68 kg x 2.20462 = 149.91416 pounds

(rounded to five decimal places)

So, 68 kilograms is approximately equal to 149.91416 pounds.

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Perpendicular

Find the slope for the points (5, 10) and (1, 6)

The slope is calculated below

For the points (2,-6) and (-1, -3)

Note that:

Since the product of the two slopes is -1, the lines through the pairs of points are perpendicular

Answer:

-5,-1

Step-by-step explanation:

add 4 to get the next number

Answer:

10

Step-by-step explanation:

place when expense and income intersect

Answer:10

Step-by-step explanation:

Answer:

Maybe 10

Step-by-step explanation:

Answer:

1) 3(9) +15

2) 2(-5)^2 - 11

3) (-2)^3 + 13(-2)

4) 4(6)^2 -7

5) (-9)^2 - (-9) + 10

All you have to do solve

Step-by-step explanation:

Replace the x with whatever number is in the f(number)