1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
wariber [46]
11 months ago
12

Kyree needs to fill up his truck with gasoline to drive to and from school. Gas costs $2.79 per gallon, and his truck holds a ma

ximum of 28 gallons.Domain:Range:
Mathematics
1 answer:
Lunna [17]11 months ago
4 0

Let x represent the cost per gallon of gasoline.

Let y or f(x) represent the cost of x gallons of gasoline.

Given that the cost per gallon is $2.79,

The function would be

f(x) = 2.79x

The domain refers to all possible values of x that can fit into the function. Given that the truck holds a maximum of 28 gallons, the maximum value of x is 28. When the truck is empty, the minimum value of x is 0. Therefore, the domain is 0 to 28

The range refers to all possibel values of y or f(x) that can satisfy the function.

When x = 0, f(x) = 2.79 * 0 = 0

When x = 28, f(x) = 2.79 * 28 = 78.12

The range would be 0 to 78.12

Domain: 0 to 28

Range: 0 t0 78.12

You might be interested in
7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)<br>by logarithm laws<br>​
hammer [34]

Answer:

1.5871

Step-by-step explanation:

According to the Question,

  • we have, 7 log(15/16)+6log(8/3)+5log(2/3)+log(32/25)

The Solution, With Basic Properties of Log.

7*log15-7*log16+6*log8-6*log3+5*log2-5*log3+log32-log25

7*1.176-7*1.204+6*0.903-6*0.477+5*0.3010-5*0.477+1.505-1.3979

on Solving, We get

1.5871

4 0
3 years ago
The ropes on either side of a swing are 1.9 m long. If a child swings through a arc length of 0.9 Determine the angle (in radian
Yuliya22 [10]

Answer:

theta = 9/19 radians or  approximately .4737 radians

Step-by-step explanation:

The formula for arc length is

S = r theta  

where theta is in radians.  Lets put in what we know.  The radius would be 1.9 since the ropes would be the radius.

.9 = 1.9 theta

Divide by 1.9 on each side.

.9/1.9 = theta

theta = 9/19 radians

or in decimal form it is approximately  .4737 radians



7 0
3 years ago
The savings account offering which of these APRs and compounding periods offers the best APY?
zzz [600]
\bf \qquad  \qquad  \textit{Annual Yield Formula}&#10;\\\\&#10;~~~~~~~~~~~~\textit{4.0784\% compounded monthly}\\\\&#10;~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1&#10;\\\\&#10;\begin{cases}&#10;r=rate\to 4.0784\%\to \frac{4.0784}{100}\to &0.040784\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{monthly, thus twelve}&#10;\end{array}\to &12&#10;\end{cases}&#10;\\\\\\&#10;\left(1+\frac{0.040784}{12}\right)^{12}-1\\\\&#10;-------------------------------\\\\&#10;~~~~~~~~~~~~\textit{4.0798\% compounded semiannually}\\\\&#10;

\bf ~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1&#10;\\\\&#10;\begin{cases}&#10;r=rate\to 4.0798\%\to \frac{4.0798}{100}\to &0.040798\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{semi-annually, thus twice}&#10;\end{array}\to &2&#10;\end{cases}&#10;\\\\\\&#10;\left(1+\frac{0.040798}{2}\right)^{2}-1\\\\&#10;-------------------------------\\\\&#10;

\bf ~~~~~~~~~~~~\textit{4.0730\% compounded daily}\\\\&#10;~~~~~~~~~~~~\left(1+\frac{r}{n}\right)^{n}-1&#10;\\\\&#10;\begin{cases}&#10;r=rate\to 4.0730\%\to \frac{4.0730}{100}\to &0.040730\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{daily, thus 365}&#10;\end{array}\to &365&#10;\end{cases}&#10;\\\\\\&#10;\left(1+\frac{0.040730}{365}\right)^{365}-1
7 0
3 years ago
Read 2 more answers
The senior classes at High School A and High School B planned separate trips to New York City. The senior class at High School A
Nezavi [6.7K]
Class A: 6v + 8b = 202

Class B: 12v + 16b = 284

Solve using the elimination method:
since 6v and 12v are perfect for elimination, multiply the class A equation by 2 so that the van variable cancels out: 

12v + 16b = 404
12v + 10b = 284

Then subtract the bottom equation from the top:

6b = 120
b = 20 

Now you know that each bus can hold 20 students.
Just plug this into one of the original equations to solve for vans:

6v + 8(20) = 202
6v + 160 = 202
6v = 42 
v=7 

So then you know that each van can hold 7 students. 

Check:
12 (7) + 10 (20) = 284 


<span />
3 0
3 years ago
I need to know x . if you could also explain that would be nice
defon

Answer:

x = 7.5

Step-by-step explanation:

Since the midsegment and the third segment of the triangle are parallel to each other, therefore,

\frac{8 + 10}{8} = \frac{6 + x}{6}

\frac{18}{8} = \frac{6 + x}{6}

\frac{9}{4} = \frac{6 + x}{6}

Cross multiply

9*6 = 4(6 + x)

54 = 24 + 4x

Subtract 24 from each side

54 - 24 = 4x

30 = 4x

Divide both sides by 4

30/4 = x

7.5 = x

x = 7.5

4 0
2 years ago
Other questions:
  • write the following algebraically using x as your unknown “i think of a number, multiply it by 3, add 4 and square the result”
    14·1 answer
  • You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standa
    8·1 answer
  • Find -2 2/5 + 4/5 need help please
    10·1 answer
  • An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lin
    12·1 answer
  • What is the area of a circle if it is 7ft
    13·2 answers
  • We examine a population with normal distribution having mean of 1000 and standard deviation 50. What percentage of the populatio
    6·1 answer
  • 100÷2 [500÷5 {6+(21+7-24)}] can anyone ???? ;(​
    10·2 answers
  • Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.
    8·1 answer
  • Which of these expressions equal 15 when x=1/2 and y=3? Circle all that apply. Please help with this my teacher need me to work
    9·1 answer
  • I need help someone?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!