What is the slope of a line perpendicular to the line whose equation is 3x−6y=903x−6y=90. Fully simplify your answer.

The step which is to be taken to get the required result is to divide both the numerator and denominator by cos(x)cos(y).

The given question is incomplete, I am answering as per my general knowledge.

The values of all trigonometric functions depends on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Sides of a triangle for which we can calculate these ratios are ,

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Divide both the numerator and denominator by cos(x)cos(y) with expression is (sin(x)sin(y) + cos(x)cos(y)) / (sin(x)sin(y))

Step 3: (sin(x)sin(y) + cos(x)cos(y)) / (sin(x)sin(y))

Step 4: (sin(x)sin(y) + cos(x)cos(y)) / (cos(x)cos(y))

In Step 3, the expression is (sin(x)sin(y) + cos(x)cos(y)) / (sin(x)sin(y)) which is a fraction. In order to obtain the expression for Step 4, both the numerator and denominator must be divided by cos(x)cos(y). This will result in the expression (sin(x)sin(y) + cos(x)cos(y)) / (cos(x)cos(y)) for Step 4.

In order to obtain the expression for Step 4, both the numerator and denominator must be divided by cos(x)cos(y).

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In 45 minutes the minutes of the clock turns  270 degrees

The hands of clock while rotating is observed to be rotating 6 degree per minute

This can be calculated based on the fact that in 60 minutes a clock makes a 360 degrees rotation, using this concept we have that

if 60 minutes = 360 degrees then 1 minute will be

1 minute = 360 degrees / 60 minutes

1 minute = 6 degrees

To calculate for 45 minutes we have

number of degrees in 45 minutes = 45 * 6

number of degrees in 45 minutes = 270 degrees

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The product of 3 and 2i is 6i. This means that the real component of the product is 0, and the imaginary component  value is 6.

The product of two complex numbers, such as 3 and 2i, can be calculated by multiplying their real and imaginary components separately. The real component of 3 is 3 and the imaginary component of 2i is 2. So, the real component of the product is 3 x 0 = 0, and the imaginary component is 2 x 3 = 6. Therefore, the product of 3 and 2i is 0 + 6i or 6i. This means that the real component of the product is 0, and the imaginary component is 6. To calculate the product of two complex numbers, simply multiply their real and imaginary components separately and add the results together.

step by step calculations

Real component of 3 x Real component of

2i = 3 x 0 = 0

Imaginary component of 3 x Imaginary component of

2i = 2 x 3 = 6

Therefore, the product is 0 + 6i or 6i.

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Step-by-step explanation:

given

a(-23) &b(5)

if you take this as a continuous graph

AB+BC =28

ATQ,

AB/BC=2/5

28-bc/BC=2/5

140-5BC=2BC

140=7BC

BC=20

B is -15

If a plumber is cutting pieces of pipe that are 3.36 meters long, and the pipe must be within 0.09 meters of the required length. The equation representing this is 3.36 / x < 0.09

the solution to the equation is x > 37 1/3

The inequality equation representing the condition is written as follows

length of pipe = 3.36 meters

each pipe division must be within 0.09 meters meaning < 0.09 meters

The division into say x pieces is calculated by

3.36 / x < 0.09

solving the inequality gives

3.36 / x < 0.09

3.36 / 0.09 < x

31 1/3 < x

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If h(x) = f(x)g(x) and h'(x) = f(x)g'(x), then f(x) = 1.

Let f and g be differentiable functions such that g(x)>0 for all x and f(0)=1.

We can then write h(x) = f(x)g(x). Taking the derivative of h(x) with respect to x, we get:

h'(x) = f'(x)g(x) + f(x)g'(x)

Since h'(x) is equal to f(x)g'(x), then we can cancel out f(x)g(x) from both sides to get:

f'(x)g(x) = 0

Since g(x) is always greater than 0, this implies f'(x) = 0. This means that f(x) is a constant function. Since f(0) = 1, then f(x) = 1 for all x.

Therefore, if h(x) = f(x)g(x) and h'(x) = f(x)g'(x), then f(x) = 1.

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1. The rate of change, in this case, is $100 per week.

2. The rate of change, in this case, is $-8 per week.

1. In this situation, the rate of change of Andre's savings account can be modeled using a linear equation of the form - y = mx + b

where

y represents the balance in the account,

x represents the number of weeks,

m represents the rate of change (i.e., the amount of money added to the account each week), and

b represents the starting balance.

To find the rate of change, you can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

In this case, y represents the balance in the account after 6 weeks (i.e., $1,600),

y1 represents the starting balance (i.e., $1,000),

x represents the number of weeks (i.e., 6), and

x1 represents the number of weeks at the starting balance (i.e., 0).

Substituting these values into the point-slope form gives 1600 - 1000 = m(6 - 0), which simplifies to 600 = 6m.

Dividing both sides of the equation by 6 gives m = 100, so the rate of change is $100 per week.

2. In this situation, the rate of change of Kiran's checking account can also be modeled using a linear equation of the form y = mx + b,

where

y represents the balance in the account,

x represents the number of weeks,

m represents the rate of change (i.e., the amount of money spent from the account each week), and

b represents the starting balance.

To find the rate of change, you can again use the point-slope form of a linear equation, which is y - y1 = m(x - x1).

In this case, y represents the balance in the account after 4 weeks (i.e., $716),

y1 represents the starting balance (i.e., $748),

x represents the number of weeks (i.e., 4), and

x1 represents the number of weeks at the starting balance (i.e., 0).

Substituting these values into the point-slope form gives 716 - 748 = m(4 - 0), which simplifies to -32 = 4m.

Dividing both sides of the equation by 4 gives m = -8, so the rate of change is $-8 per week.

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Answer:

3.5 inches

Step-by-step explanation:

From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall. Since the family lights candles

Answer:

  (b)  4

Step-by-step explanation:

You want the y-coordinate of point C on the line x=-3 so that ∆ABC has area 6 square units with segment AB being 6 units long.

The formula for the area of a triangle is ...

  A = 1/2bh

Given the base of 6 units, and area of 6 square units, we find the height to be ...

  6 = 1/2(6)h

  6/3 = h = 2

The height of the triangle is 2 units.

Point C is given as being on the line x=-3. Its y-coordinate must differ from the y-coordinates of A and B by 2 units. Those y-coordinates are 2, so the y-coordinate of C is ...

  2 ±2 = {4, 0}

Point C may have a y-coordinate of 0 or 4. The appropriate answer choice is 4.

Placing the stores in order from lowest price to highest price for a set of paintbrushes will be;

Lowest price: Store B

Middle price: Store C

​Highest price: Store A

Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.

Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products

Store A

Discounted Price = $25 - ((10/100) x 25)

Discounted Price = $25 - $2.5

Discounted Price = $22.5

Store B

Discounted Price = $27 - ((20/100) x 27)

Discounted Price = $25 - $5.4

Discounted Price = $21.6

Store C

Discounted Price = $26 - ((15/100) x 26)

Discounted Price = $26 - $3.9

Discounted Price = $22.1

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Segment VU is parallel to segment LM. The missing length is 16.

If the matching lines formed by two segments are parallel, then the segments are parallel. In other words, two segments are considered to be parallel if they are in the same plane and do not cross even when stretched indefinitely in both directions.

Two line segments are parallel if any pair of matching angles, alternate interior angles, alternate exterior angles, or consecutive interior angles are supplementary. On a coordinate plane, parallel lines have the same slope.

If the matching lines formed by two segments are parallel, then the segments are parallel.

Segment VU is parallel to segment LM. The missing length is 16.

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The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Slope indicates that for every unit change in the independent variable, x, the dependent variable will vary by the same amount, b. Slope indicates both direction and steepness. Positive slope causes the line to rise when it goes from left to right. When the slope is negative, the line descends when moving from left to right.

Here,

You may get the slope of the line by determining the rise and the run using two of the line's points. The rise and the run are terms used to describe changes in height between two places. Rise divided by Run gives you the slope. Run = rise + slope Rise + run = slope.

The rate of change of a linear function is determined by the slope of the function and here for y = mx + b the slope is m as the funtion is in Slope intercept form.

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A. Prospective observational studies involve collecting data from participants before an event or outcome occurs, while retrospective observational studies collect data after the event has already taken place.

A prospective observational study is a type of observational study that involves collecting data from participants before an event or outcome occurs. This type of study is used to predict and measure outcomes in the future.

In this type of study, the researcher can control the variables, such as when and how the data is collected, and can also observe the effects of any changes in the environment.

On the other hand, a retrospective observational study is a type of observational study that involves collecting data after an event or outcome has already taken place. This type of study is used to study the causes of a given outcome.

In this type of study, the researcher looks back in time and collects data from the past. This type of study is more limited than a prospective observational study, since the researcher cannot control the variables of the study or observe any changes in the environment.

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Seating arrangements that can be made, if rotations and reflections of each seating arrangement are not considered different is 24.

The combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.

Total number of couples = 3

No. of seating in Circular table = 8

Total number of ways they can be seated =3*8 = 24

Thus, Seating arrangements that can be made, if rotations and reflections of each seating arrangement are not considered different is 24.

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The number of possible arrangements he can make = 24

Assume that George and his wife seated opposite to each other.

Then there would be six open seats for three other couples.

The first woman of them can be seated in six ways.

Using combination formula, we can write it as

6C1 = 6

And her husband sits opposite to her.

Now the next woman can be seated in six ways.

Using combination formula, we can write this as

4C1 = 4

And her husband sits opposite to her.

Now the last woman can be take any seat from the remaning 2 seats and her husband sits opposite to her.

Since rotations and reflections of each seating arrangement are not considered different, there are 6 × 4 = 24 possible seating arrangements.

Therefore, there would be 24 possible seating arrangements.

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Answer: 15 tables.

Step-by-step explanation:

To show the ratio of centerpieces to tables using counters, we can use 1 blue counter to represent 1 centerpiece and 5 yellow counters to represent 5 tables. The ratio of centerpieces to tables can then be represented as 1:5, or 1/5.

To find the number of tables if there are 3 centerpieces, we can set up the following proportion:

3 centerpieces / 1 centerpiece = X tables / 5 tables

Cross-multiplying this proportion gives us:

3 * 5 tables = 1 centerpiece * X tables

Solving for X gives us the number of tables:

X = 15 tables

Therefore, if there are 3 centerpieces, there are 15 tables.

Answer: Daren

Step-by-step explanation:

The rate for Daren is 8.55 kph, while Umberto is 9.5 kph.

Find the total miles for Daren and Umberto:

8,55 x 3,5 = 29,925

9,5 x 3 = 28,5

Daren will run more kilometers than Umberto because the distance running is more than Umberto's.

Factor the polynomial.

x

y

(

x

2

14

+

8

y

14

)

i pasted this from p01nhub

Answer:

9 weeks

Step-by-step explanation:

set y as how much money they have

set x as how many weeks spend

Bank account C:

y = 10 * 2^x

Bank account D:

y = 1000 + 500x

Set this two equations equal to find the point of two bank account have the same amount of money:

10 * 2^x = 1000 + 500x

Solve the equation:

2^x = 100 + 50x

[tex]\left(-\cfrac{2}{3} \right)^{-4}\implies \left(-\cfrac{3}{2} \right)^{+4}\implies \left(-\cfrac{3}{2} \right)\left(-\cfrac{3}{2} \right)\left(-\cfrac{3}{2} \right)\left(-\cfrac{3}{2} \right)\implies \cfrac{81}{16}[/tex]

Step-by-step explanation:

(6 - W)/(10+10)= (6 - W)/20= 2

6 - W= 40

-W= 34

W= -34

Answer:

line can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.

Since we are given that the line has a slope of 1 and includes the point (10, 10), we can plug these values into the equation to solve for the y-intercept. We get:

10 = 1 * 10 + b

b = 10 - 10

b = 0

So the equation of the line is y = x + 0, or simply y = x.

Since we are also given that the line includes the point (u, 9), we can substitute this value for y in the equation of the line to solve for u. We get:

9 = x

x = 9

Therefore, the value of u is 9.

Uday Tahlan

line that includes the points (-10, W) and (10, 6) has a slope of I. What is the value of w?

Can someone please help me?

Thank you!

To find the value of W, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.

Since we are given that the line includes the points (-10, W) and (10, 6) and has a slope of I, we can use these two points to find the value of W.

First, we can plug in the coordinates of one of the points and the value of the slope into the equation to solve for the y-intercept. Let's use the point (10, 6):

6 = I * 10 + b

b = 6 - 10I

Then, we can plug the values of the slope and y-intercept into the equation and solve for W using the coordinates of the other point (-10, W):

W = I * (-10) + (6 - 10I)

= -10I + 6 - 10I

= 6 - 20I

Therefore, the value of W is 6 - 20I.

Answer: 2.2

Step-by-step explanation: To find the decimal form of 2 1/5, we need to turn it into an improper fraction. That would be 11/5. Now we'd turn that into a division problem. So, we'd do 11/5, which 5 can go into 11 2 times, and would have 2 left over. I hope this helped.

Using the provided values and making an equivalent equation and equating the equation to solve for the number of books required to break even, The answer is 97 books should be produced and sold.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

There are three ways to solve systems of linear equations :

required equation,

10300 + 12x = 118.25x

solving for x , we get,

106.25x = 10300

x=10300/106.25

=97

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Answer:

D

Step-by-step explanation:

An obtuse angle is one over 90. They both have one of them.

The tangent function is a trigonometric function used to calculate angles and the relationships between them.

This function is also known as the “slope of a curve” and measures the rate of change of the angle with respect to the x-axis. In its most basic form, the tangent function is expressed as tanθ, which is interpreted as the ratio between the length of the opposite side of angle θ and the length of the adjacent side. The graph of the tangent function is a periodic curve with a range of [-π/2,π/2]. It has many uses in mathematics and physics, such as the calculation of derivatives, integration, and interpolation.

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The value of {x} in the given geometrical figure is 7.

Given is a pair of intersected lines.

We can write, as observed from the image that -

6x + 3 = 45             {Vertically opposite angles}

6x = 42

x = 7  

Therefore, the value of {x} in the given geometrical figure is 7.

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To find the product of 11011 and 11 in binary, you can use the standard multiplication algorithm that you would use for decimal numbers.

First, you need to multiply 11011 by the rightmost digit of 11, which is 1. This gives you 11011.

Then, you need to multiply 11011 by the next digit of 11, which is 1. This gives you 100110.

Finally, you need to add these two results together to get the final answer:

11011

100110

110121

The product of 11011 and 11 in binary is 110121.

Answer:

x=2.05

Step-by-step explanation:

To solve for x, we start by adding 2 to both sides of the equation:

53x - 2 + 2 = 43 + 31x - 1 + 2

53x = 45 + 31x

Then, we subtract 31x from both sides of the equation:

53x - 31x = 45 + 31x - 31x

22x = 45

Finally, we divide both sides of the equation by 22:

22x/22 = 45/22

x = 2.05

Therefore, the value of x is 2.05.