Kiran is about to start hiking on a trail that is 1.8 miles long. In his past hikes on the same trail, he had walked at a constant rate of 2.4 miles an hour, which is 0.04 mile a minute. Function (F) represents Kiran's remaining distance on the trail, in miles, t, minutes after he starts walking. Write an equation to represent this function. Use function notation.

Answers

Answer 1

Answer:

F(t) = 1.8 - 0.04t

Step-by-step explanation:

Given that :

Length of trail = 1.8m

Walking speed = 0.04 miles per minute

Distance left, t minutes after one statues walking :

Total distance covered after t minutes = speed * time = 0.04t

Distance left after t minutes :

Initial distance - distance covered

Hence,

F(t) = 1.8 - 0.04t


Related Questions

if x-y=9,x²+y²=27,then xy=?​

Answers

Answer:

xy = - 27

Step-by-step explanation:

Note that

(x - y)² = x² - 2xy + y² ← substitute given values, that is

9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

Write an equation to represent the situation: A starfish descends 2/3 of a meter each hour, h, until it has moved 6 total meters.

Answers

Answer:

6=2/3h

Step-by-step explanation:


Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the equation.
(4,−3); y=3x−5

Answers

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope of the line ([tex]m[/tex])

When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:

[tex]y=3x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.

[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]

Subtract both sides by 12

[tex]-3-12=12+b-12\\-15=b[/tex]

Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.

[tex]y=3x+(-15)\\y=3x-15[/tex]

I hope this helps!

Priya has a recipe for banana bread. She uses 7.5 cups of flour to make 3 loaves of banana bread. How much flour does Priya need to make 1 loaf of bread?

Answers

Answer:

It would take 2.5 cups of flour to make 1 loaf of bread.

Step-by-step explanation:

You would 7.5 divided by 3 to get how much it would take for 1 loaf of bread.

7.5/3 = 2.5

it would take 2.5 cups of flour to make 1 loaf of bread.

A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons than grey buttons. There twice as many black buttons as white buttons. WRITE AN EQUATION TO CALCULATE HOW MANY BUTTONS OF EACH COLOUR THERE ARE. LET X REPRESENT THE NUMBER OF ORANGE BUTTONS.

Answers

Answer:

x + 2x + 2x + 2 + 4x + 4 = 42

Step-by-step explanation:

Let us assume the number of orange buttons be x

So, the grey buttons be 2x

The white buttons would be 2x + 2

And the black buttons be 2(2x + 2) i.e. 4x + 4

Also the total is 42 buttons

So, the equation is

x + 2x + 2x + 2 + 4x + 4 = 42

Halp,ignore the answer I chose lolz

Answers

Answer:

the answer will be b that should be the answer


Write an algebraic expression for each situation.
a. 7 more than a number
b. Twice a number

Answers

Step-by-step explanation:

a- 7 + X

b- 2x is the equation for these terms I think so

The regular price of a pair of shoes is $65.00. The shoes are on sale for $58.50. What is the percent decrease in the price of the shoes?

Answers

Answer:

10%

Step-by-step explanation:

65.00x10%=6.50

65.00-6.50

0r you can do

65.00-10%=58.50

f(x) = -x^3 + 3x^2 + x - 3 Using the end behavior of f(x), determine the graph of the function​

Answers

Answer:

Here, the given function,

Since, the leading coefficient is negative, and degree is odd,

Thus, the end behaviour of the function is,

Therefore, the graph rises to the left and falls to the right.

Now, when f(x) = 0

That is, graph intercepts the x-axis at (3, 0), (1, 0) and (-1, 0).

When x = 0,

That is, graph intersects the y-axis at ( 0, -3),

Also, for 0 > x > -1 , f(x) is decreasing,

For 2.55 > x > 0, f(x) is increasing,

For 3 > x > 2.55, f(x) is decreasing,

*GUYS PLEASE HELP ME ILL GIVE BRAINLIEST*

what you need to do is write an equation for each graph *ILL REALLY APRECIATE YOUR HELP*​

Answers

Answer:

Download the app photomath and right your solution

First, you need to know what "m" and "b" represents.

"m" represents slope, and "b" represents the y intercept.

For the equation you can combine the information to get y = mx + b

To find "m" indentify points, and see how many you have to go up/down then left/right.

To find "b" since the graphis given see where the line crosses the y axis. (0, b)

1. m = -1, b = 3

y = -1x + 3

2. m = 1, b = -3

y = 1x -3

3. m = 3/1 or 3, b = 1

y = 3x + 1

4. m = -3/1 or -3, b = -3

y = -3x -3

Someone please help me ASAP because I am really stuck thank uuuuu!!!!!

Answers

81/200 is the answer

Answer:

2 3/10

Step by step explanation:

Select the correct answer.
What is the variable being tested in an experiment?.
A.
response variable
B.
placebo
C.
explanatory variable
D.
control variable

PLEASE HELP ILL MARK YOU RHE BRAINLYEST

Answers

Answer:

A

This other person is correct about the answer the dependent variable is the variable that is being measured or tested in an experiment and response variable is a another way of saying that.

Answer:response variable

Step-by-step explanation:

plato

WOULD SOMEONE TELL ME PLEASE !!

Answers

Answer:

A and C

Step-by-step explanation:

alternate-exterior angles need to have one angle above the first line and the other angle below the second line and the angles have to be on different sides of the transversal

PLS HELP. CIRCUMFERENCE QUESTION! WILL GIVE BRAINLIEST

Answers

Answer:

L = 24,873.6 miles

Step-by-step explanation:

Length of the Circumference

Given a circle of radius r, the length of the circumference, or line surrounding the shape is:

The Earth has a diameter of 7,917.5 miles. The radius is half the diameter:

r=7,917.5/2=3,958.75 miles

Assuming a plane flies around the equator at ground level, the distance it would travel is:

L = 24,873.6 miles

PLZ HELP ASAP ASAP!!!!

Answers

Answer: Choice A

==============================================================

Explanation:

The value of k determines the slope, or rate of change, of how fast the balloon is climbing per second.

For example, if k = 5, then that means the balloon is going upward at 5 feet per second (equivalent to roughly 3.41 mph)

If k = 5, then y = kt becomes y = 5t. Note how we have the following

t = 0 leads to y = 0t = 1 leads to y = 5t = 2 leads to y = 10t = 3 leads to y = 15

and so on. Each time t goes up by 1, d goes up by 5. This is one way to see how the speed is 5/1 = 5 ft per second.

Sharon is buying candy. she buys 5 type on the menu if she splits the price equality with four friends how mich do they each pay​

Answers

Answer:

D. 0.65

Step-by-step explanation:

0.05 x 5=0.25

0.01 x 5=0.05

0.07 x 5=0.35

0.25+0.05+0.35=0.65

they all must pay 0.65 each

Answer:

0.65

Step-by-step explanation:

List all the integers that satisfy

2< x < 6

Answers

Answer:

3,4,5

Step-by-step explanation:

Integers means whole number

< and > means that the integers can't be the same as the number before.

Hope that helps!!

HELP HELP DUE in 11 ahahhajs

Answers

Answer:

1st one: 270 ft ^2

2nd: 30 square yards

Step-by-step explanation:

The first one you have to find the area. 15×18= 270

The second one you take the previous answer and divide by 9= 30 square yard. (Might be wrong?)

enter an equation that represents the function defined by this table of values​

Answers

Answer: -3x + 1

Step-by-step explanation:

Looking at the y table, when we subtract 1 from them, they become multiples of -3

So we multiply x by -3 then add 1

pls help me answer this (multiple choice)

Answers

Answer:

Option 3, 18.0

Step-by-step explanation:

To find the Hypotenuse of a right triangle, use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

(see image below)

(the longest side of any right △ is always C)

In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C

[tex]10^{2} +15^{2} =c^{2}[/tex]

[tex]100 + 225 =c^{2}[/tex]

[tex]325 = c^{2}[/tex]

Now that the equation is simplified, we find the square root of 325 to solve for C.

[tex]\sqrt{325 = c^{2}}[/tex]

[tex]18.0 = c[/tex]

The final answer is C = 18.0

Hope this helps you understand :)

One afternoon, a student who is 5 feet 4 inches tall measured shadows to find the height of a telephone pole. The student's shadow was 5 feet long. At the same time, the shadow of the telephone pole was 18 feet 9 inches long. How tall is the telephone pole?





Please help

Answers

Answer:

19.9875 feet

Step-by-step explanation:

The formula is given as:

Shadow of the student/Height of the student = Shadow of the telephone pole/Height of the telephone pole.

1 inch = 0.0833 feet

Shadow of the student = 5ft

Height of the student = 5 feet 4 inches

4 inches to feet

= 4 × 0.0833 feet

= 0.33 feet

Hence: Height of the student = 5 + 0.33 = 5.33 feet

Shadow of the telephone pole = 18 feet 9 inches long

9 inches to feet

= 9 × 0.0833 feet

= 0.75 feet

Hence: Shadow of the telephone pole = 18 + 0.75 = 18.75 feet

Height of the telephone pole= x

Therefore:

5/5.33 = 18.75/x

Cross Multiply

5x = 5.33 × 18.75

x = 5.33 × 18.75/5

x = 19.9875 feet

The height of the telephone pole = 19.9875 feet

What is the value of x to the nearest tenth ?

Answers

Answer:

7.2

Step-by-step explanation:

24/2 = 12

19.2/2 = 9.6

[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84

[tex]\sqrt{51.84}[/tex] = 7.2


Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?

Answers

Answer:

6.84 weeks

Step-by-step explanation:

$719.95 - $178.95 = 541$

541/79 = 6.84 weeks

Reflect the point ( 7, 1) on the line y=x.

Answers

Answer: (1, 7)

Step-by-step explanation:

When you reflect over the line y = x, the x and y switch places so it goes from (x, y) to (y, x)

(7, 1) to (1, 7)

What is the value of n^-4 w^0 for n=-2 and w=5?

Answers

Answer:

1/16

Step-by-step explanation:

-2^-4 = 1/(-2)^4

5^0 = 1

1/(-2)^4 = 1/16

The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

Answers

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

If you look more closely, you can notice that it is a 3-4-5 Pythagorean triple and it was multiplied by 3 to get 9-12-15.

Or you can do it using the Pythagorean Theorem directly:

9^2 + 12^2 = 15^2

and that is true.

Answer:

yes it is.

Step-by-step explanation:

pythagorean theorem. A^2 + B^2 = C^2

Ex 9^2 + 12^2 = 15^2

Solve for x. (3x + 17) (8x - 46)​

Answers

Answer:-15

Step-by-step explanation:

The value of x in the given expression (3x + 17) (8x - 46)​ is -17/3 or 23/4

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, (3x + 17)(8x - 46)​, we need to find the value of x,

(3x + 17)(8x - 46)​

To find the value of x, equate the expression to 0,

(3x + 17)(8x - 46)​ = 0

3x+17 = 0

x = -17/3

or

8x-46 = 0

8x = 46

x = 23/4

Hence, the value of x is -17/3 or 23/4

Learn more about expressions, click;

https://brainly.com/question/14083225

#SPJ2

plsss help ASAP!!!
BRAINLIEST

Answers

When x is -2 then y is 2

Plz need an answer fast

Answers

Answer:

Not a function becuase one input value corresponds with multiple output values.

Step-by-step explanation:

Hope it helps

PLS ASSAAAAPPP IMMA CRY( MAY U PLS SHOW HOW TO DO IT LIKE THE WORK)!!
Darwin's house is located on the edge of a park. He leaves his house and walks north along the edge of the park for 5 blocks. He turns and walks 12 blocks west in the park. He then walks directly back to his house in a straight line across the park. Determine the total distance of his trip. HINT: you must find the length of the hypotenuse

Answers

Answer:

here you go

Step-by-step explanation:

Other Questions
A local banks advertising reads: "Give us $50,000 today, and well pay you $800 every year forever." If you plan to live forever, what annual interest rate will you earn on your deposit?1.92%1.60%2.56%2.24% John and Adam are selling candy. John sells 6 pieces of candy for $10. Adam sells 13 pieces of candy for $20. Whose candy costs less? A process of faith formation that includes education and participation in the life of the Catholic church is calledA. apprenticeshipB. catechesisC. discipleshipD.mentoring ILL MARK AS BRAINLESTTwice Carries age increased by three is equal to twenty-five. Which equation can be used to find Carries age, x? A. 2(x + 3) = 25 B. 2(3) + 25 = x C. 2x + 3 = 25 D. x + 2(3) = 25 -24x^3y^2+16xy^3+12y^3 1) After studying this graph, which statement is MOST correct?A)Northern states benefitted from the emancipation ofslaves.B)A dependence on slavery made factories morepopular in the SouthC)Confederate states relied mostly on agriculture fortheir economyD)The Union states relied too heavily on their industrialmight for future military success. Which reactant (X) is missing from the equation shown?X+ PO4 H3PO4 Suppose y varies directly as x, and y =16 when x=8. Find y when x=5 For the line above, what is the slope? * True or False (as of 1820) - Kentucky was a free state Please help meeeee, aw man How did Hawaii changed after the Pearl Harbor attack? Lines s and t are parallel. The slope of line s is 3/2 . What is the slope of line t ? A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs. I WILL GIVE YOU BRAINLIEST IF SOMEONE ANSWERS THIS QUESTION!!!!! Why is the forest floor such an important part of the temperate broadleaf forest ecosystem? Group of answer choices Last year there were 475 students at Valley middle school. This year there are 675. What is a percent of increase PLZ HELP PLZ HELP SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONGLength of student deskHeight of classrom'Width of classroom doorHeight of buildingLength of a movie ticket Pls help easy points question On the photo Percentage of isotopes in 35/17 Cl and 37/17 Cl with the molar mass of chlorine as 35.5g and the mass of each nucleon to be 1.0000 amu