Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage?

From the graph

Domain = [ -1 , 4]

Range = [ -1 , 3 ]

b) When you look at the graph, the function f

Increasing = [ -1, 1 ] , [ 2, 4 ]

Decreasing = [ 1 , 2 ]

the line will be:

we can find the method of finding the intercepts and then link them with a unique line:

the x-intercept is when y=0 then 2x+3=0 then x=-3/2=-1.5

the y-intercept is when x=0 then y=3

then we can link the points (-1.5,0) and (0,3) and we have the graph of the given line.

Given:

Rita earns scores of 83, 87, 85, 88, and 90 on her five-chapter tests for a certain class.

And a grade of 82 on the class project.

First, we will find the average of the scores of the five tests

The overall average for the course is computed as follows:

30% of the course grade ⇒ Rita get 86.6

30% of project grade ⇒ Rita get 82

40% of the final exam ⇒ let Rita get x

We will find the value of x provided that Rita will earn a "B" score

a "B" is an overall score greater than or equal to 80, but less than 90

So, we will find (x) as follows:

Solve the inequality to find (x):

And the upper limit will be as follows:

Solve to find (x):

So, the answer will be:

To obtain a "B", Rita needs to score between 73.55 and 98.55

We are given the graph of a line, and we are asked to determine if it is a proportional or non-proportional relationship. Let's remember the general form of the equation of a line, that is:

where "m" is the slope and "b" the y-intercept. The y-intercept is the value where the line touches the y-axis. According to the graph, the value of "b" is b = 1, therefore, the equation of the line would be:

A proportional relationship is of the form:

since the value of "b" is different from zero the relationship is non-proporsional.

The relationship is non-proportional

Answer:

B) y = 2x

Explanation:

We were given the following details:

The straight line passes through the origin; it passes through the point (0, 0)

The straight line passes through the point (1, 2)

The general equation of a straight line is given by:

We will obtain the equation of the straight line as shown below:

I. Obtain the slope of the straight line

The slope of the straight line is 2

II. Obtain the y-intercept

Method 1:

The y-intercept refers to the point where the straight line crosses the y-axis.

In this case, the straight line crosses the y-axis at the origin (0, 0). This implies that:

Method 2:

Using the point-slope equation:

Therefore, the answer is B (y = 2x)

Answer:

• Mean: 50

• Median: 45

• Mode: 10,30

Explanation:

Given the data set:

Before we begin, arrange the numbers from the least to the greatest.

(a)Mean

To find the mean, add up the numbers and divide by the number of items (12 in this case).

The mean of the dataset is 50.

(b)Median

The median is the number in the middle of the dataset when arranged in ascending order.

• There are two numbers in the middle: 40 and 50

• Take the average to find the median.

The median of the dataset is 45.

(c)Mode

The mode is/are the number(s) that appear the most number of times..

In the dataset:

• 10 appears twice

• 30 appears twice

The modes of the dataset are 10 and 30.

Solution:

Given the function below

Where

If the input value is 3, i.e. x = 3, the output value will be

Hence, the output value is 13

To find the required proportion, you first write down the proportion between the distance you walk and time, just as follow:

proportion = 2/35

In this case numerator is distance and denominator is time in minutes.

Now, if you want to know hof war you would walk in 1 hour (60 mins) with the same rate, you can write:

for 1 hour:

x/60 =

x is the uknown distance, which have to stay in the numerator, and denominator is 60 because 1 hour = 60 mins.

But the two previous expression must be equal because you walk at the same rate both times. Hence, the searched equation is:

2/35 = x/60

SOLUTION

From the question

This becomes

In polar,

So, this becomes

x - 9

when x = -1

out put is -1 -9 = -10

when x = 0

Output is 0-9 = -9

when x = 1

output = 1-9 = -8

x y

-1 -10

0 -9

1 -8

Given:

The odds against winning a prize in the raffle are 12:1

0.077 is the probability of winning a prize.

The first expression es the simplified expression using the property of negative exponents.

According to the information given in the exercise, the pen for his rabbit is square and each side is 7 feet long.

You know that the formula for calculating the area of a square is:

Where "s" is the length of each side of the square.

In this case:

Then, you need to substitute this length into the formula and then evaluate, in order to find the area. You get:

Hence, the answer is: Option A.

To simplify the expression we fist need to express each trigonometric function in terms of sines and cosines; to do this we need to remember that:

With this in mind we have:

Finally we need to remember that:

Therefore, we have that:

Given:

• Vertical asymptote at : x = -1

• Double zero at: x = 2

• y-intercept at: (0, 2)

Let's create the equation for the rational function using the given properties.

Since the vertical asymptote is at x = -1, to find the deominator of the equation, equate the vertical asymptote to zero.

Add 1 to both sides:

Therefore, the denominator of the function is ==> x + 1

Since it has a double zero at x = 2, we have the factors:

We now have the equation:

Also, the y-intercept is at: (0, 2)

To find the value o a, substitute 2 for y and 0 for x then evaluate:

Therefore, the rational function is:

ANSWER:

We have the following equation:

They ask us to solve this equation, in this case, we must solve for "k"

Now, we clear k

Compared with your solution, this is also correct, let's see the last step in which you are

Your solution to this equation is correct in each step you did, you just need to move on to divide the (-3) to the other side

In conclusion, the answer si k = -7

|u| = √29

Since we are only given one vector, we cannot compute its dot product. However, the magnitude of a vector (x, y) is expressed as:

Given the vector u = (-2, -5), the magnitude of u is expressed as:

Hence the magnitude of the vector in radical form is √29

Answer:

12.27 % increase

Carbon dioxide increased by 40 ppm

Explanation:

We know that carbon diox

To solve this type of problem we order the data from lowest to highest and compute the median, that number will be the one in the center of the magic square, also we group the numbers as follows:

first and last,

first+1 and last-1,

and so on.

The grouped numbers will be on opposite sides of the square with respect to the center.

In this case, the median is 4, and the grouped numbers are 0 and 8, 1 and 7, 2 and 6, 3 and 5.

Answer:

The rental cost of each movie is $4.50

The rental cost of each video game is $5.75

let the cost of one movie = m

let the cost of one video games = v

1st month:

Number of movies = 5

number of video games = 6

Total cost of both = $57

Total cost = cost of one movie(Number of movies ) + cost of one video (Number of video games)

57 = m(5) + v(6)

57 = 5m + 6v ...equation 1

2nd month:

Number of movies = 3

number of video games = 2

Total cost of both = $25

Total cost = cost of one movie(Number of movies ) + cost of one video (Number of video games)

25 = m(3) + v(2)

25 = 3m + 2v ...equation 2

57 = 5m + 6v ...equation 1

25 = 3m + 2v ...equation 2

Using elimination method:

To eliminate v, we would multiply equation 2 by 3:

3(25) = 3(3m) + 3(2v) ...equation 2

75 = 9m + 6v ...equation 2

57 = 5m + 6v ...equation 1

subtract equation 1 from 2:

75 - 57 = 9m - 5m + 6v - 6v

18 = 4m + 0

18 = 4m

m = 18/4

m = 4.5

Substitute for m in any of the equation:

Using eqauation1: 57 = 5m + 6v

57 = 5(4.5) + 6v

57 = 22.5 + 6v

57 - 22.5 = 6v

34.5 = 6v

v = 34.5/6

v = 5.75

The rental cost of each movie is $4.50

The rental cost of each video game is $5.75

If a local road rises 33 feet for every 423 feet of pavement, the slope of the road will be rate of change of pavement with respect to the road. This is expressed as;

slope of the road = 423/33

Slope of the road = 12.82

Hence the slope of the road is 12.82

Given the dimensions of triangle ABC:

AB = 5

BC = 8

AC = 7

Let's determine the largest angle of triangle ABC.

We have a sketch of the triangle below:

In a triangle, the largest angle is the angle opposite the side with the largest side length.

From the given triangle ABC, the largest side is BC = 8.

The angle which is opposite BC is angle BAC.

Therefore, the largest angle of △ABC is ∠BAC

hello

his gross income was = $82,969

commission = 4 1/2% or 4.5%

since we have the gross income, we can use that data to find his actual salary for the month.

all we need to do is find 4.5% of 82969 and subtract the value from it

the commission pay was $3733.605

to find his actual salary, subtract 3733.605 from 82969

from the calculations above, his income for last month was $79235.395

We have that:

Let's name each side of it with f(x) and g(x):

Then, we have that:

Then, the answer is C

First Part 45-45-90 Triangle

first triangle

where the two angles different to 90° are same, the measure of the legsof the triangle are the same

then

and to calculate B or the hypotenuse we use pythagoras

where a and b are legs and h the hypotenuse

replacing

the hypotenuse or B is

Second triangle

legs of the triangle have the same value then if we apply pythagoras

and replace the legs with the same value(a)

we can replace the hypotenuse and solve a

value of each leg is 3 units, then

Second part 30-60-90 triangle

First triangle

we use trigonometric ratios to solve, for example I can use tangent for the angle 60 to find E

where alpha is the angle, O the oppiste side of the angle and A the adjacet side of the angle

using angle 60°

now using sine we calculate F or the hypotenuse

where alpha is the angle, O the opposite side from the angle and H the hypotenuse

using angle 60°

Second triangle

we use sine with 60° to find H

use cosine with 60° to find G

Final Values

using the definition of multiplication between two fractions

we obtain,

From the graph given in the question, we can find out that

49% of the college graduates say that their college education was very useful for helping develop specific skills and knowledge for the workplace.

From the given question, the total percentage of college graduates who have found that their degree very helpful to develop specific skills and knowledge for the workplace is 49%

Explanation:

Put them together

The bottle holds 5/12 gallon of water

to fill bottles with 2 1/4 gallon of water

so, the number of bottles will be :

so, the answer is 5 2/5