Mrs.Montana has five students namely:rodley,cristina,christian,elsa and made .Count all the letters in each name.In which of the following sets the order of the names least to greatest.ARodley,cristina,Christian,mae,elsa
Bcristina,Christian elsa mae rodley
c Mae elsa rodley cristina Christian
D Christian Cristina rodley mae elsa

Answers

Answer 1
Answer:

Answer:

C

Step-by-step explanation:

Mae, Elsa, Rodley, Cristina, Christian


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Andrew is paid per hour the first 30 hours he works each week. He makes $per hour for each hour he works over 30 hours per week other words total wages fixed wages for 30 hours additional wages at 5 per hour. Apply function notation to answer the following questions about Andrew's wages, Part A Write a function that gives Andrews total wages when he works more than 30 hoursUse the variables w for wages and h for hours. My question is Explain how this real-life situation is a function. What are the function's input, output, domain, and range?

Answers

Answer:

input is your hours

output is your money

domain is all numbers greater than/equal to 0

range is any number greater than/equal to the amount of money you make per hr

Andrew’s total wages are a function of the number of hours he works. The input of this function is the total number of hours worked. The output is the total wages earned.

The domain is the number of hours that Andrew can work in a week. A week has 168 hours. He works for 30 hours regularly. So, the domain is D = {30, 31, 32, … , 168}.

Of course, it is unrealistic to expect Andrew to work 24 hours a day for an entire week. 168 simply represents the total possible hours to work.

The range is the money Andrew can make working his usual 30 hours plus any extra hours at $5 per hour: R = {120, 125, 130, ... , 810}.

An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let P(t) denote the number of people (in millions) who become aware of the product by time t. Suppose that P increases at a rate proportional to the number of people still unaware of the product. The company determines that no one was aware of the product at the beginning of the campaign, and that 50% of the people were aware of the product after 50 days of advertising. The number of people who become aware of the product at time t is:

Answers

Answer:

P(t)=3,000,000-3,000,000e^(0.0138t)

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

P'(t)=K(3,000,000-P(t))

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

P(0) = 0 and P(50) = 1,500,000

We have and ordinary differential equation of first order that we can write

P'(t)+KP(t)= 3,000,000K

The integrating factor is

e^(Kt)

Multiplying both sides of the equation by the integrating factor

e^(Kt)P'(t)+e^(Kt)KP(t)= e^(Kt)3,000,000*K

Hence

(e^(Kt)P(t))'=3,000,000Ke^(Kt)

Integrating both sides

e^(Kt)P(t)=3,000,000K \int e^(Kt)dt +C

e^(Kt)P(t)=3,000,000K((e^(Kt))/(K))+C

P(t)=3,000,000+Ce^(-Kt)

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

so

e^(-50K)=(1)/(2)\Rightarrow K=-(log(0.5))/(50)=0.0138

And the equation that models the number of people (in millions) who become aware of the product by time t is

P(t)=3,000,000-3,000,000e^(0.0138t)

Find the amount of the discount on a $120 bicycle that is on sale for 25% off.

Answers

The discount is 30 dollars I believe.

it is $30 off. 25% of $120 is 30.

Given point A(−2, 6) and point B(3, 4), find the coordinates of point C that divide AB so that the ratio AC:CB is 2:3.The coordinates of point C are

40 POINTS

Answers

The coordinates of point C are (1, 24/5).

We are given that;

Point A(−2, 6) and point B(3, 4)

Now,

The shortest distance (length of the straight line segment's length connecting both given points) between points (p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]   D = √((x-p)^2 + (y-q)^2) \: \rm units.

Let’s first find the distance between A and B using the distance formula:

AB = \sqrt((3 - (-2))^2 + (4 - 6)^2) = \sqrt(25 + 4) = \sqrt(29)

Now find the coordinates of point C. Since AC:CB is 2:3, we can write:

AC/CB = 2/3

AC = (2/5) * AB

CB = (3/5) * AB

Let assume that point C has coordinates (x, y). Then we can write:

x = (3/5)3 + (2/5)(-2) = 9/5 - 4/5 = 1

y = (3/5)*4 + (2/5)*6 = 12/5 + 12/5 = 24/5

Therefore, by the distance answer will be (1, 24/5).

Learn more about distance between two points here:

brainly.com/question/16410393

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You originally draw a design for an art contest on a 4 in. x 5 in. card. The second phase of the contest requires the drawing to be transferred to an 8.5 in x 11 in. standard sheet of paper and utilize as much of the space on the paper as possible. You determine that the largest size one of the dimensions of your drawing can be is 10.5 in. What is the length of the other dimension if the two drawings are similar? Type your exact answer in the blank without the units, and round to the nearest tenths.

Answers

By using ratio and proportion the problem can be solve. First assume that 10.5 in is the length of the new drawing, and let w be the width 4 / 5 = w / 10.5 W = 10.5 ( 4 / 5) W = 8.4 in So the new dimensions are 8.4 in x 10.5 in 

Answer:

8.4

Step-by-step explanation:

Sin 64degrees=cos x what is the value of x?

Answers

sin 64 = cos x
cos x = 0.899
x =  { \cos}^( - 1) (0.899) = 26 \: degrees