Mathematics College

a law firm charges $100 per hour plus a $300 origination fee for its services find a function notation

Answers

Answer 1
F(t)= $100 x h + 300 A reasonable domain is (1,2,3) and the range is ($400,$500,$600)
Answer 2

The required function notations for the total law firm charges is expressed as f(t) = 100t + 300

Given the following

Law firm charges = $100 per hour

The amount of charge for "t" hours will be 100t hours

Also, the original fee = $300

In other to get the total charge using function notation;

f(t) = Law firm charges for "t" hours + Original fee

f(t) = 100t + 300

The required function notations for the total law firm charges is expressed as f(t) = 100t + 300

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Related Questions

Which would most likely be graphed using a continuous graph? Check all that apply. (Medal for correct answer.

Answers

We need an image to be able to answer this question

Question:

Which would most likely be graphed using a continuous graph? Check all that apply.

Answer:

B. Total cost, c, of buying g pounds of broccoli.

C. Speed of a car, s, as it accelerates over time, t.

E. total distance, d, that has been driven over time, t.

F. decrease in outside temperature, F, one evening over time, t.

Hope this helped!

First, rewrite 9/10 and 23/25 so that they have a common denominator.

Then, use
<, =, or > to order 9/10 and 23/25

Answers

the cheap answer is, well, all we do is, grab the denominator of one and multiply the other by it, top and bottom, and grab the denominator of the other, and multiply the first one by that one too, that way, both will have the same denominator, and then you can simply check the numerator to see who's larger, let's do so.

[tex]\bf \cfrac{9}{\boxed{10}}\qquad \qquad \cfrac{23}{\boxed{25}} \\\\\\ \cfrac{9\cdot \boxed{25}}{10\cdot \boxed{25}}\implies \cfrac{225}{250}\qquad \qquad \qquad \cfrac{23\boxed{10}}{25\cdot \boxed{10}}\implies \cfrac{230}{250}\\\\ -------------------------------\\\\ \textit{so, which is larger then?}\qquad \cfrac{225}{250}~or~\cfrac{230}{250}?[/tex]

surely you can tell.
The lowest common multiple of 10 and 25 is 50, so set that as the denominator.

9/10=45/50 (multiply by 5)
23/25=46/50 (multiply by 2)

46/50 > 45/50 therefore
23/25 > 9/10.

Hope this helps :)

How do I solve a-5/5=5

Answers

5/5 = 1

a - 1 = 5

a - 1 (+1) = 5 (+1)

a = 6


if you mean (a-5)/5 = 5

((a - 5)/5) (5) = 5(5)

a - 5 (+5) = 25 + 5

a = 30

hope this helps

Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit:
• She wants to hike for 2 hours.
• She wants to spend no more than 6 hours away from home.
• She can average 50 miles per hour to and from the park.

Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.

Answers

Answer:  27

i would say 54/2=27

Step-by-step explanation:

Ernie's favorite movie of the year is now in its fourth week in the theaters. He is gathering data about its earnings each week. He is also interested in knowing how other recently released movies are doing at the box office compared with his favorite movie. The table gives the earnings of the top-five movies during the third week that Ernie’s favorite movie, movie A, was showing in theaters. Movie Earnings Average Ticket Price A $26,088,808.74 $8.35 B $60,394,938.12 $9.72 C $23,659,617.52 $8.12 D $34,311,887.98 $7.57 E $10,505,611.08 $8.46

Answers

Final answer:

To compare the relative success of his favorite movie to others, the student can calculate each movie's ticket sales by dividing its total earnings by the average ticket price. This provides a clearer idea of the viewership each movie had, which can be more informative than simple box office earnings.

Explanation:

The student is interested in the earnings of his favorite movie in relation to other recently released films. To compare these films, one could calculate each movie's ticket sales by dividing its earnings by the average ticket price. For instance, the ticket sales for the movie A would be calculated by dividing its earnings, $26,088,808.74, by its average ticket price, $8.35. This calculation would need to be repeated for each movie to have a clear comparison.

These calculations will help Ernie understand how many people, roughly, saw each movie, since box office earnings alone can be skewed by differing ticket prices. In other words, a movie could have higher earnings than another but still have fewer viewers if its tickets were significantly more expensive.

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One slice of cheese pizza contains 310 calories. A medium-size orange has one-fifth that number of calories. How many calories are in a medium-size orange? -Please help me understand!

Answers

The medium sized orange would have 62 calories. To divide by 1/5, which in decimal form is 0.2, you just multiply 310 by 0.2, therefore, giving you 62. Hope this helps! 
We must divide the number of calories in the pizza by five to find out how many calories are in the medium-size orange.

310 / 5 = 62

There are 62 calories.

Why do you sometimes have only one multiplication sentence for an array?

Answers

Tbh I don't know because yeah I don't know and this is like yeah

Mrs marks has 9 1/4 ounces of fertilizer for her plants. She plans on using 3/4 ounce of fertilizer for each plant. How many plants can she fertilize?

Answers

"9 1/4 ounces of fertilizer, 3/4 ounce of fertilizer for each plant."

Divide the total amt. of fert. by the amt. that goes to each plant:

9 1/4 oz
-----------------------
(3/4) oz per plant

Convert 9 1/4 to an improper fraction:  9 1/4 = 37/4.

Now divide 37/4 by 3/4, or divide 37 by 3.  Result:  12 1/3 plants.

Ms. Marks can fertilize 12 plants and have 1/3 oz of fertilizer left over.

The tank for a car holds
18
18
gallons. The gasoline gauge shows the tank is
1
3

13
full. How much gas is still in the tank? Give your answer as a whole number or as a mixed fraction reduced to lowest terms

Answers

namely, if the tank is 1/3 full, how much is 1/3 of 18?  is just their product.

[tex]\bf 18\cdot \cfrac{1}{3}\implies \cfrac{18}{3}\implies \stackrel{gallons}{6}[/tex]
Final answer:

To calculate the amount of gas left in the tank, you should multiply the total capacity of the tank, which is 18 gallons, by the fraction that represents the amount of gas remaining, which is 1/3. Thus, there are 6 gallons of gas still in the tank.

Explanation:

To answer this question, we should multiply the total capacity of the tank, which is 18 gallons, by the fraction that represents the amount of gas remaining, which is 1/3. This will give us the number of gallons of gas left.

Now, apply the multiplication: 18 gallons * 1/3 = 6 gallons.

So, there are 6 gallons of gas still in the tank.

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what percent of 29.5 is 10.03

Answers

so if we take 29.5 to be the 100%, what is 10.03 in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 29.5&100\\ 10.03&p \end{array}\implies \cfrac{29.5}{10.03}=\cfrac{100}{p}\implies p=\cfrac{10.03\cdot 100}{29.5}[/tex]

What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ?
A)y−2=13(x−6)
B) y+6=13(x+2)
C) y−6=13(x−2)
D) y+2=13(x+6)

Answers

[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -2}}\quad ,&{{ -6}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 13 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-6)=13[x-(-2)] \\\\\\ y+6=13(x+2)[/tex]

how do i graph y=1/2Sinø/2?

Answers

[tex]\fb \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\ % function transformations for trigonometric functions \begin{array}{rllll} % left side templates f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}} \\\\ f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\ f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}} \end{array} \\\\ -------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks}\\ \left. \qquad \right. \textit{horizontally by amplitude } |{{ A}}|\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}[/tex]

[tex]\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}[/tex]

[tex]\bf \bullet \textit{function period or frequency}\\ \left. \qquad \right. \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ \left. \qquad \right. \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)[/tex]

now, with that template in mind,

[tex]\bf \stackrel{parent~function}{y=sin(\theta )}\qquad \qquad y=\stackrel{A}{\frac{1}{2}}sin\left(\stackrel{B}{\frac{1}{2}}\theta \right) \\\\\\ Amplitude\implies \frac{1}{2} \\\\\\ Period\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{\frac{1}{2}}\implies 4\pi [/tex]

which is pretty much the same sin(θ) function, but squished by 1/2 and elongated up to 4π, check the picture below.


at the metal-casting company where i work, i must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. the castings cool at the rate of 0.03 degrees fahrehnheit per second and must not be allowed to cool more that 7 degree's fahrenheit before being heat rtreated. what is the minimum speed per second that the conveyor must move?

Answers

Maximum time allowed = 7 deg. / 0.03 deg/s = 233.3 s
Minimum speed = 55 yd * 3 ft/yd / 233.3 s
= 0.707 ft/s

Which metric unit would you use to measure: 1.The length of a newspaper. 2. The height of a lamp post. 3. The length of a bus route. 4. The width of a ruler.

Answers

there are 3 meter grams or liters
liters is liquid
meters is how long or wide
grams is weight 
i would use meters

I need help please 4x-10=2(2x-5)

Answers

Since the results are equal to each other, there is more than one solution to x

how can you use a mapping diagram to determine the domain and the range of a relation?

Answers

Step 1: Draw the mapping diagram for the given relation.
Step 2: A relation is a function if each element in the domain is paired with one and only one element in the range.
Step 3: From the mapping diagram, it can be observed that the given relation is not a function as '3' in the domain is paired with two elements - 1 and - 2 in the range and '6' is paired with - 1 and - 2.

                              Domain                Range 
                                        3         |     -1
                                                   |
                                                   |
                                        6         |     -2

The method of using a mapping diagram to determine the domain and the range of a relation is outlined in; Steps 1 to 3 below.

A mapping diagram is one that shows how the elements are paired. Furthermore It is drawn like a flow chart for a function to depict the input and output values.

Now, mapping diagrams consists of two parallel columns. The first column is one that represents the domain of a function while the second column represents the range of the function.

Now the steps in using a mapping diagram to determine the domain and the range of a relation are;

Step 1: Draw the mapping diagram for the given function relation.

Step 2: A relation from the mapping diagram will be tagged as a function if each element in the domain column is paired with only one element in the range column

Step 3: However, if an element in the domain column of the mapping diagram can be paired to than 1 element in the range column, then the relation is said to not be a function.

Read more about mapping diagrams at; https://brainly.com/question/1625866

Graph ​ y−5=−23(x+9) ​ using the point and slope given in the equation. Use the line tool and select two points on the line.

Answers

maybe try (-9, 6) and (-9,5) 
i think it may be correct

Answer here is correct  hope this helps :)

this number is the same as 31 + 880000

Answers

880,000 + 31 = 880,031

hope this helps
The answer to your question is 880031

How does translating a figure using the formal definition of a translation compare to the previous method of translating a figure?

Answers

It is essentially the same process just different notation.  

This method is easy to understand and easy to apply to any figure than the other methods.

What is a translation of the figure?

When the figure is moved from one place to another place is called translation of the figure.

When we add in x then the figure will translate toward the left.

And when we subtract in x then the figure will translate toward the right.

If we add in y then the figure will translate downward.

And when we subtract in y then the figure will translate upward.

This method is easy to understand and easy to apply to any figure than the other methods.

More about the translation of the figure link is given below.

https://brainly.com/question/933695

Which second-degree polynomial function has a leading coefficient of –1 and root 5 with multiplicity 2?

Answers

A second degree polynomial function has the general form:

                  [tex]\displaystyle{f(x)=ax^2+bx+c[/tex], where [tex]a\neq0[/tex].

The leading coefficient is a, so we have a=-1.

5 is a double root means that :

i) f(5)=0,
ii) the discriminant D is 0, where [tex]D=b^2-4ac[/tex].

Substituting x=5, we have

                                        f(5)=a(5)^2+b(5)+c,

and since f(5)=0, and a is -1 we have:

                                          0=-25+5b+c
thus c=25-5b.


By ii) [tex]\displaystyle{b^2-4ac=0[/tex].

Substituting a with -1 and c with 25-5b we have:
                                     
          [tex]\displaystyle{b^2-4ac=0[/tex]
          [tex]\displaystyle{b^2-4(-1)(25-5b)=0[/tex]
          [tex]\displaystyle{b^2+4(25-5b)=0[/tex]
          [tex]\displaystyle{b^2-20b+100=0[/tex]
          [tex]\displaystyle{(b-10)^2=0[/tex]
          [tex]\displaystyle{b=10[/tex] 


Finally we find c: c=25-5b=25-50=-25

Thus the function is        [tex]\displaystyle{f(x)=-x^2+10x-25[/tex]


Remark: It is also possible to solve the problem by considering the form

[tex]f(x)=-1(x-5)^2[/tex] directly.

In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is [tex]f(x)=a(x-r)^2[/tex]

Answer:

f(x) = 2x2 – 4x – 30

Step-by-step explanation:

Got it right

I'll give BRAINIEST

.............

Answers

its 0.25. ez. i hope i helped :)

What is the largest place value of 585

Answers

The 100s place value is the largest in 585

Beth sold half of her comic books and then bought nine more she now has 28 how many did she have to start with

Answers

28 - 9 = 19
19 + 19 = 38
she started with 38 comics

How many sixteens are in 15/16

Answers

There are 15  1/16's 


hope this helps

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2?

Answers

The answer to this question What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is 1/2 is (7/65/128)

Answer:

[tex]\frac{765}{128}[/tex]

Step-by-step explanation:

We have been given that 1st term of a geometric series is 3 and common difference is 1/2 . We are asked to find the sum of 1st 8 terms of the given series.

We will use geometric series formula to solve our given problem.

[tex]S_n=\frac{a_1(1-r^n)}{1-r}[/tex]

Upon substituting our given values in the above formula we will get,

[tex]S_8=\frac{3(1-(\frac{1}{2})^8)}{1-\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(1-\frac{1^8}{2}^8)}{\frac{2-1}{2}}[/tex]

[tex]S_8=\frac{3(1-\frac{1}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(\frac{256-1}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=\frac{3(\frac{255}{256})}{\frac{1}{2}}[/tex]

[tex]S_8=3(\frac{255}{256}\times\frac{2}{1})[/tex]

[tex]S_8=3(\frac{255}{128})[/tex]

[tex]S_8=\frac{765}{128}[/tex]

Therefore, the sum of our given series is [tex]\frac{765}{128}[/tex].

Can you answer all of these please?!?!

1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
(a) Write an equation that represents the situation. Explain any variable used.(1 point)
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence. (3 points)
Answer:


2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.
(a) (2 points)
(b) (2 points)
(c) (2 points)
Answer:
 

3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Tanya's items. (1 point)
(b) Solve the equation. Show your work. (2 points)
(c) Check your solution. Show your work. (1 point)
(d) State the solution in complete sentences. (1 point)
Answer:

Answers

1) sister-x
    kim-2x
x+2x=36
3x=36
x=12
2x=24
Kim is 24 years old and her sister is 12 years old.

3) Tanya-3x
     Tony-4y
x-2.25=y
3x=4y
3x=4x-9
9=x
6.75 =y

Tanya's was 9 $ and Tony's was 6.75 $

Kelly wants to buy 5.6 feet of wood for a bookshelf. The wood costs $3.25 per foot. If Kelly has $18.50 to spend, how much change will she receive?

Answers

$3.25x 5.6=$18.20-$18.50= $0.30
$3.25 x 5.6 = 18.20.  Subtract $18.50 from 18.20.   18.50-18.20 = .30

How many weeks correspond to 56 days? Explain

Answers

Answer:

8 weeks

56 days equals 8 weeks or 8x7 = 56

Step-by-step explanation:

The ratio is boys to girls is 3:5. If there are 24 boys how many girls are in the class

Answers

If the ratio is 3:5, then for every 3 boys there are 5 girls, so you multiply 3 and 5 by 24 and you get your answer.
To add on to what the previous person said, you find what 24 divided by 3 is. The answer is 8 and so 5 times 8 is 40. 24: 40. 

40 girls are in the class. 

store decreased its price on a computer by $112 to $478. What was the original price

Answers

Well if it's $112 less and the price is now $478. You just have to add $112 to $478= $590.

Answer:

$590.

Step-by-step explanation:

Let x be the original price of computer.

We have been given that a store decreased its price on a computer by $112 to $478.

This means x minus 112 equals to 478. We can represent this information in an equation as:

[tex]x-\$112=\$478[/tex]

Let us add $112 to both sides of our equation.

[tex]x-\$112+\$112=\$478+\$112[/tex]

[tex]x=\$590[/tex]

Therefore, the original price of computer was $590.

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