a unit vector lies in the xy plane, at an angle of 155 degrees from the x axis, with a positive y component. what is the unit vector? (it helps to draw a diagram.)

Answer:

1 gallon

Step-by-step explanation:

using 1.5 gallons per hour for 6 hours equals their product, which is 9

so if there was originally 10 gallons, after driving 6 hours, there would be 1 gallon remaining

The situation can be modeled with the linear function:

f(x) = $30*x + $100

Evaluating that, we can see that after two years you will pay $820.

Here we know that you buy a gym membership for $100 plus $30 per month.

So, the cost after x months can be modeled by the linear function:

f(x) = $30*x + $100

Where x is the number of months and f(x) is the amount of money that you pay after x months.

We want to find how much you will pay after 2 years, there are 24 months in two years, then we will get:

f(24) = $30*24 + $100 = $820

Learn more about linear functions:

https://brainly.com/question/4025726

#SPJ1

Answer:  The x-intercept is when y is equal to 0, so we can find it by setting y to 0 and solving for x:

0 = 2/3x + 4

3x = -4

x = -4/3

So the x-intercept is (-4/3, 0)

The y-intercept is when x is equal to 0, so we can find it by setting x to 0 and solving for y:

3y = 2/3 * 0 + 4

3y = 4

y = 4/3

So the y-intercept is (0, 4/3)

Step-by-step explanation:

Statistics, or what we say to as ‘Stats’ in general parlance, is fully a useful branch of mathematics that can help in analyzing and solving mass everyday problems.

It has a broad range of applications in various fields, right from medicine, and engineering, to sports, etc. So, let us know more about it.

The benefits of statistics include collecting data in the form of numerical figures, analyzing and interpreting the data, grouping and presenting the data, and arriving at novel information organized from the data.

in the branch of mathematics, statistics is a very main idea to learn.

Population mention to a group of people or objects as a whole, while a sample is a subset of the whole. By examine samples of a population, you can learn more about that population.

A branch of statistics also deals with analyzing certain outline in a macroscopic way where we work with a given population and a sample.

To know more about Statistic:

https://brainly.com/question/29093686

#SPJ4

For Jordan's pet grooming business to break even, he must groom 38 pets each month.

The break-even point describes a sales situation where the total costs equal the total revenue.

At the break-even point, there is no profit or loss.

Cost function: C = $15p + $1520

Revenue function: R = $55p

The total cost per month = C

The total revenue each month = R

The number of pets Jordan grooms monthly = p

To break even, C must be equal to R:

$15p + $1520 = $55p

15p + 1520 = 55p

-40p = 1,520

p = 38

Check:

Total costs = $15p + $1520

= $15(38) + $1520

= $570 + $1520

= $2,090

Total revenue = $55p

= $55(38)

= $2,090

Thus, grooming 38 pets each month, the total costs and revenue are equal to $2,090, respectively.

Learn more about the break-even point at https://brainly.com/question/21137380

#SPJ1

The slope of the line passing through the points (3, 2) and (-2, 2) is 0.

In the given question, we have to find an equation of the line that passes through the points (3, 2) and (-2, 2).

The point-slope approach is typically used when two points that sit on a specific line are specified.

A line's equation is written as y - y(1) = m(x - x(1)), where y(1) is the Y-axis coordinate, m is the slope, and x(1) is the X-axis coordinate.

Firstly we find the value of m using the formula

m = [tex]\frac{y(2)-y(1)}{x(2)-x(1)}[/tex]

From the given points x(1) = 3, y(1) = 2, x(2) = -2, y(2) = 2.

Now putting the value

m = [tex]\frac{2-2}{-2-3}[/tex]

Now solving

m = [tex]\frac{0}{-5}[/tex]

m = 0

Hence, the slope of the line passing through the points (3, 2) and (-2, 2) is 0.

To learn more about slope of the line link is here

brainly.com/question/15874858

#SPJ4

The complete question is:

What is the slope of the line passing through the points (3, 2) and (-2, 2)?

Answer:

16 degrees, I believe

Step-by-step explanation:

You would use an inverse sine, if I'm not mistaken. You have the O (opposite) and the H (hypotenuse). With that you can do SOH - or sine. But since you want the angle, you do an inverse. So you do the inverse sine of O over H, or the inverse sine of 5/18. It gives you 16.128 degrees or so.

Answer: A. -2x² + 16x -29

Step-by-step explanation:

f(x) = x-4

g(x) = -2x² + 3

g(f(x)) = -2( x² + 16 -8x) + 3

         = -2x² - 32 + 16x + 3

         = -2x² + 16x -29

Answer:

x = 3

Step-by-step explanation:

B using the perpendicular theorem

Since MB is a perpendicular bisector of JK , then JB = BK

and Δ JMK is isosceles with congruent legs , so

JM = MK ( substitute values )

9x - 18 = 3x ( subtract 3x from both sides )

6x - 18 = 0 ( add 18 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

The required slope, y-intercept, and x-intercept are -2.5, 15, and 7.5 respectively.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
Locate two points on the graph,
(0, 15) and (7.5, 0)

The slope is given as,
m = -15/7.5
m = -2.5

The slope of the graph represents the rate of fuel i.e. 2.5 gallons per hour.

Now,
y-intercept from the graph is 15, and the x-intercept in the graph is 7.5, which represents the amount of fuel initally in the car, and in 7.5 hours no fuel will be left respectively.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

Based on the graph, it looks like the only y-value not used by the graph is –6.

So, the range would be (-infty, -6) U (-6, infty).

Answer:

Step-by-step explanation: 500

For the graphs you use the the method of

Rise(Up) / Run(Down) = Slope

for exmaple the first graph

The rise is 4 (up) and the run (down) is 6 so you divide that being 2/3 the slope.

For the secound part you use the formula

m= rise/run = y2-y1/x2-x1

for exmaple for number 7

(4,9) and (1,6) being (x1, y1) and (x2,y2)

so your rise is 3 and your run is 3 that being 3/3 = 1 so your slope is 1 or m=1

The positive and negative effects that technology has on an economy is that it increases productivity and leads to impact on income distribution through making difficult for workers to employed respectively.

This is referred to as the application of scientific knowledge for practical purposes and it helps to make work easier and faster thereby resulting in an increase in the productivity of various sectors in the economy.

The disadvantage is that it makes it difficult for workers to be employed because work which can be done and paid for are now done using various types of machines thereby leading to a decrease in income distribution in the economy.

Read more about Technology here https://brainly.com/question/7788080

#SPJ1

Answer:

N = X^a × Y^b × Z^c

Step-by-step explanation:

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Now, According to the question:

Is a negative slope horizontal or vertical?

Negative slope means that as we move from left to right on the graph, the line falls. Zero slope means that the line is horizontal: it neither rises nor falls as we move from left to right. Vertical lines are said to have "undefined slope," as their slope appears to be some infinitely large, undefined value.

Hence, The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Learn more about Slope at:

https://brainly.com/question/3605446

#SPJ4

Answer:

20x-3/15=8

We move all terms to the left:

20x-3/15-(8)=0

determiningTheFunctionDomain

20x-8-3/15=0

We multiply all the terms by the denominator

20x*15-3-8*15=0

We add all the numbers together, and all the variables

20x*15-123=0

Wy multiply elements

300x-123=0

We move all terms containing x to the left, all other terms to the right

300x=123

x=123/300

x=41/100

Answer:

x = 0.41

Step-by-step explanation:

20x-3/15=8

20x - 1/5 = 8

20x - 1/5 = 40/5

20x = 41/5

20x = 8.2

x = 0.41

X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y)

Now, According to the question:

Let's Know:

Independent random variable:

Two random variables X and Y are independent if

E(XY) = E(X)E(Y).In case of n random variables the formula is extended as

[tex]E(X_1,X_2,X_3....X_n)=E(X_1)E(X_2)E(X_3)...E(X_n)[/tex]

Are the random variables X and Y independent?

If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa, the two random variables are said to be independent.

Hence, X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y).

Learn more about Independent Random variable at:

https://brainly.com/question/29899075

#SPJ4

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Given that the triangles are similar?

i)        Corresponding angles of both the triangles are equal, and

ii)       Corresponding sides of both the triangles are in proportion to each other.

Properties

Formulas

To learn more about similar refers to:

https://brainly.com/question/14285697

#SPJ1

Answer: 3rd and 4th

Step-by-step explanation:

The inequality sign is reversed when both sides are multiplied by a negative number, so the third and fourth ones symbols will be reversed.

Answer: D

Step-by-step explanation: Because its Deeeeee

Answer:

i wish i could help but i never learned that

Step-by-step explanation:

The constant of proportionality is the number that is multiplied by the variable in the equation. In the equation y=7x, the constant of proportionality is 7.

Step 1: Identify the equation: y=7x

Step 2: Determine what the constant of proportionality is: The constant of proportionality is 7.

Step 3: Calculate the value of the constant of proportionality: The constant of proportionality is 7.

The constant of proportionality is a number that is multiplied by the variable in an equation. For example, in the equation y=7x, the constant of proportionality is 7. This means that for every unit increase in x, y will increase by 7. To calculate the constant of proportionality, simply identify the equation and determine what number is multiplied by the variable. In this case, the number is 7. Consequently, 7 is the constant of proportionality. The constant of proportionality is an important concept in mathematics and is used to calculate the relationship between variables in equations. Knowing the constant of proportionality can help make equations easier to solve and understand.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Solving the provided question we can say that the quadratic equation - y =  a( x - h)^2 + k => y = 2 + k

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

here,

the quadratic equation -

y =  a( x - h)^2 + k

here x = 0l h =1 and a = 2

y = 2 + k

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ1

The cost of a sixty minute tape is $11.40 and the cost of a ninety minute tape is $1.60.

To learn more about systems of equation refer:

brainly.com/question/13729904

#SPJ1

Answer:

208.25

Step-by-step explanation:

2/5 * 595 = 2*119=238

therefore, total number of 8th graders is 238

so, 7/8 * 238 = 7*238÷8=208.25

The two towers sum up to one at a 90-degree angle because they are both tall.

A cathedral with two main towers—a stone tower on its southern side and a copper (blue-green)-capped tower on its northern side—is depicted in the Maps image provided as the answer to the question.

Viewing both the north and south tower photos.

Because both towers are tall, they add up to one at a 90-degree angle.

The sine, cosine, and tangent functions are the three trigonometric ratios with which people are most familiar. Consider a right-angled triangle with the angle of interest and the triangle's sides to define the cosine function of an acute angle.

To know more about Cosine, refer to this link:

https://brainly.com/question/29114352

#SPJ4

The blocks will be filled as follows -

y = 5(x) + b

33 = b

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the slope of the line passing through the point (4, 53).

Now, from the question, we can write -

y = 5x + b

For the point -

(4, 53)

We can write -

53 = 5 x 4 + b

b = 53 - 20

b = 33

Therefore, the blocks will be filled as follows -

y = 5(x) + b

33 = b

To solve more questions on straight lines, visit the link below -

brainly.com/question/28951560

#SPJ1

An equation that models the volume, V, of the cement in the container in terms of h is V = π[tex]r^2[/tex]h. The time at which the volume is 80π cubic feet is 6 minutes.

In the given question, we have to write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet.

The given radius r = 4 feet

Rate of filling the cylinder = 10 inches/minutes

Firstly we convert inches into feet.

As we know that;

1 inches = 1/12 feet. So

Rate of filling the cylinder = 10/12 feet/minutes

Rate of filling the cylinder = 5/6 feet/minutes

Height (h) in time 't' minutes = h = 5/6 t

Volume after t minutes

V = π[tex]r^2[/tex]h

Now putting the values

V = [tex]\pi\times(4)^2\times\frac{5}{6}t[/tex]

V = [tex]\pi\times16\times\frac{5}{6}t[/tex]

V = [tex]\frac{40\pi}{3}t[/tex]

As given that volume is 80π cubic feet.

Now, V = 80π

80π = [tex]\frac{40\pi}{3}t[/tex]

Multiply by 3 on both side, we get

240π = 40πt

Divide by 40π on both side, we get

t = 240π/40π

t = 6 minutes

To learn more about volume of cylinder link is here

brainly.com/question/16134180

#SPJ4

Answer:

0.34 < 0.8

Step-by-step explanation:

On compares the decimal numbers 0.34 and 0.8 the correct math statement is 0.34 < 0.8.

To compare the decimal numbers 0.34 and 0.8 correctly, we need to determine which one is greater or if they are equal. One way to do this is by aligning the decimals and comparing the digits from left to right.

0.34 and 0.8 have a different number of decimal places. To make the comparison easier, we can add a trailing zero to 0.34:

0.34 ( or 0.340 ) and 0.8

Now, we can compare them:

0.340 < 0.8

So, the correct math statement is: 0.34 < 0.8.

To know more about decimal numbers click here :

https://brainly.com/question/123818

#SPJ2