He park trail is 10x^2+4x+2 miles long. The hiker has traveled 5x-1 miles. How much farther does the hiker need to travel to get to the end of the trail

Answers

Answer 1

Answer:

[tex]10x^2-x+3[/tex] miles.

Step-by-step explanation:

It is given that,

Total length of park trail = [tex]10x^2+4x+2[/tex] miles

Total length traveled by hiker = [tex]5x-1[/tex] miles

We need to find the length of trail hiker need to travel to get to the end of the trail.

Required length [tex]=10x^2+4x+2-(5x-1)[/tex]

               [tex]=10x^2+4x+2-5x+1[/tex]

               [tex]=10x^2+(4x-5x)+(2+1)[/tex]

               [tex]=10x^2-x+3[/tex]

Therefore, hiker need to travel [tex]10x^2-x+3[/tex] miles to get to the end of the trail.


Related Questions

It is predicted that garden gnome value will go up by 2% each year, forming a geometric progression. Jean-Claude has a garden gnome currently valued at £80,000. If the rate of inflation is correct:


a) What will Jean-Claude's gnome be worth after 1 year?


b) What is the common ratio of the geometric progression?


c) What will Jean-Claude's gnome be worth after 10 years?


d) It will take k years for the value of Jean-Claude's gnome to exceed £120,000. Find k.

Answers

Answer:

Step-by-step explanation:

a ) The worth of Jean-Claude's gnome after 1 year

= 80000 x 1.02

=  £81600

b ) common ratio of geometric progression

= 81600 / 80000

= 1.02

c )  worth after 10 years

= 80000 x 1.02¹⁰

= 80000 x 1.21899

= £97519.55

d )

120000 = 80000 x [tex]1.02^k[/tex]

1.5 = [tex]1.02^k[/tex]

ln1.5 = k ln 1.02

k = ln 1.5 / ln 1.02

= .4054 / .0198

= 20.47 years .

Work out the size of angle x

Answers

Answer:

hope its helpful........

Answer

x = 121°

Explanation

Angle bottom left corner.

Since the triangle touches a horizontal plane, we know the 2 angles have to add up to 180 degrees.

115 + x = 180

x = 180-115 = 65°

Angle at the top

We know a full circle is 360 degrees.

Let’s say the triangle angle is x

x + 304 = 360

360 - 304 = 56°

Angle of triangle at the bottom right.

We know angles of a triangle add up to 180°.

Since we just calculated the 2 other triangles:

56° + 65° + x = 180

180 - 56 - 65 = 59°

As the triangle sits on a horizontal plane, the angle marked x in the picture + the interior angle have to add to 180.

59° + x = 180

x = 180 - 59 = 121°

the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1
4(1 - 6)2
25 + 1
(41 – 6)
2(1 + 1)
413 - 6
2(1 + 1)
(41 - 6)
21 + 1


Answers

Answer:

  [tex]\dfrac{(4x-6)^3}{2}(x+1)[/tex]

Step-by-step explanation:

Maybe you want your verbiage written as a mathematical expression.

"the difference of 4 times x and 6" is (4x -6). "the sum of x and 1" is (x+1).

No other grouping is indicated, so we have ...

  [tex]\boxed{\dfrac{(4x-6)^3}{2}(x+1)}[/tex]

#1. The area of a square tile is 53.4cm^2. find the length of one side of the tile, rounded to the nearest 10th.

#2 which RADICAL is not a perfect square
a)5.29
b)13.69
c)1.3
d)0.09

#3 A walkway is been constructed using square cement tiles that each have an area of 15.5ft^2. Six tiles will be lined up end to end to construct a walkway. What is the total length of the walkway? Round your answer to the nearest 10th of a foot.

PLEASE ANSWER ASAP
all of them or even one would help please please

Answers

Problem 1

Answer: 7.3

Explanation: Apply the square root to the area to get the side length. This only applies to areas that are squares (hence the name).

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

Problem 2

Answer:  C) 1.3

Explanation: Use your calculator to find that choices A,B,D plugged into the square root function yield terminating decimal values. "Terminating" means "stop". This implies that they are perfect squares (though not perfect squares in the sense of whole number perfect squares which you may be used to). Choice C is the only value that has a square root that leads to a non-terminating decimal. The digits of this decimal go on forever without any pattern. The value is irrational.

sqrt(5.29) = 2.3  terminating decimalsqrt(13.69) = 3.7 terminating decimalsqrt(1.3) = 1.140175425 keeps going forever without any patternsqrt(0.09) = 0.3 terminating decimal

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

Problem 3

Answer:  23.6 feet approximately

Explanation: Apply the square root to 15.5 to get roughly 3.937; this is the approximate side length of one square. Six of these tiles placed together will lead to a total length of roughly 6*3.937 = 23.622 which rounds to 23.6 feet. Like with problem 1, the square root being used like this only works for square areas.

The answer would be c I believe

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Answers

Answer:

The answer is below

Step-by-step explanation:

Tony is opening a pizza restaurant and needs to determine the amounts of ingredients he will use in his pizzas. He wants the amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza. And, he wants the amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Also, the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. So, he needs to determine how much dough to use for a small pizza. Use this information to complete the following tasks.

Answer:

Let the amount of dough needed for a small pizza be S, the amount of dough needed for a medium pizza be M and the dough needed for a large pizza be L.

The amount of dough for a medium pizza to be 3/2 times the amount of dough for a small pizza, therefore:

M = (3/2)S

The amount of dough for a large pizza to be 5/2 times the amount of dough for a small pizza. Therefore

L = (5/2)S

the amount of dough used for one large pizza should to be equal to the amount of dough used for one medium and one small pizza. That is:

L = M + S

(5/2)S = (3/2)S + S

5S = 5S

The equation cannot be solved.

But if he wants the amount of dough for a large pizza to be 5/2 kg.

L = M + S

(5/2) = (3/2)S + S

S = 1 kg

please help i will give out brainliest

Answers

answer on image attached. pls give brainliest :)

Part A)

In order to obtain the y values you simply sub in the x- coordinates to the equation y=x^3 -4x.

In the spaces,from left to right, the y coordinates are

5, -3, -4, 0

Part B)

B as you know the roots ( x-intercepts ) of the equation pass through 0 and 4

cydus
How many solutions doos the equation 4+4x - 3=4x +5 have?

Answers

0 solutions because simplifying the equation gives us 1 = 5, which is never true

Answer:

No solutions

Step-by-step explanation:

4 + 4x - 3 = 4x + 5

4x + 1 = 4x + 5

Add -4x and -1 on both sides.

4x - 4x = 5 - 1

0 = 4

There are no solutions.

A line containing the points (9, 1) and (5, 5) intersects the x -axis at what point?

Answers

Answer:

It intersects the x-axis at x = 10

Step-by-step explanation:

Step 1: Find slope m

m = (5 - 1)/(5 - 9)

m = 4/-4

m = -1

y = -x + b

Step 2: Find b

5 = -5 + b

b = 10

Step 3: Rewrite equation

y = -x + 10

Step 4: Find x when y = 0

0 = -x + 10

-10 = -x

x = 10

So the graph crosses the x-axis at 10.

FIND THE PERIMETER OF A RECTANGLE WITH LENGTH 7CM AND BREADTH 4CM.

Answers

Answer:

22cm

Step-by-step explanation:

7+7 =14

4+4= 8

14+8=22

Answer:

[tex]\boxed{Perimeter = 22 cm}[/tex]

Step-by-step explanation:

[tex]Perimeter = 2(Length) + 2(Breadth)[/tex]

Where length = 7 cm, Breadth = 4 cm

Perimeter = 2(7) + 2(4)

=> Perimeter = 14+8

=> Perimeter = 22 cm

3) What is the difference? 7,840 - 4,971*
0 2,769
0 2,869
0 2,879
0 2,969

Answers

Answer:

2869

Step-by-step explanation:

7,840 - 4,971

Subtract.

= 2869

Answer:

0 2,869

hopefully this helped :3

Please help urgently

Answers

Answer:

203.5

Solution,

Onions less than 60 grams = 2 --> Pickling

Onions greater than 120 grams = 5 + 3 = 8 --> Market

Onions between 60 and 120 = 13---> Processing

Total frequency = 2 + 8 + 13 = 23

Now,

[tex]x = \frac{13}{23} \times 360[/tex]

[tex]x = 203.48[/tex]

[tex]x = 203.5[/tex]

Hope this helps ..

Good luck on your assignment...

Answer:

x=190°

Step-by-step explanation:

find the frequency of the given numbers dividing by their numbers

onions less than 60g=(2+2/2)=²/9

onions greater than 120g=(5+3/2)= 4 (4+3/2). =3.5/9

To convert into degrees so that they can fit in the bar graph multiply the frequencies by 360 that is:

picking=²/9×360=80°

market=3.5/9×360=90°

x=360°-90°-80°

x=190°

confirmation

pie chart° add up to 360°

picking=80°

market=90°

x=190°

190°+80°+90°=360°

I need serious help. I will give a BRAINLIEST ANSWER to the person who helps me! It is urgent!!!!

Answers

OMG!! How is is that even a maths question, it looks so hard!
I’m so sorry but I have no clue what that is!

If A = (-1,-3) and B = (11,-8), what is the length of AB?
A. 14 units
B. 13 units
C. 11 units
D. 12 units
SUBMIT
A

Answers

Answer:

B

Step-by-step explanation:

Use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-1,-3) be [tex]x_1[/tex] and [tex]y_1[/tex], while (11,-8) be [tex]x_2[/tex] and [tex]y_2[/tex].

Thus:

[tex]d=\sqrt{((11)-(-1))^2+((-8)-(-3))^2[/tex]

[tex]d=\sqrt{12^2+(-5)^2}[/tex]

[tex]d=\sqrt{144+25} =\sqrt{169} =13[/tex]

If a student is selected at random, find the probability the student is a freshman. Round to the nearest whole percent.

Answers

Answer:

Out of the 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30 total students, 4 + 3 = 7 are freshmen so the answer is 7 / 30 * 100 = 23%.

Answer:

23%

Step-by-step explanation:

4 + 6 + 2 + 2 + 3 + 4 + 6 + 3

There are total of 30 students.

4 + 3

7 students are freshman.

Find the percentage.

7/30 × 100

700/30 = 23.333333...

Round to nearest whole percent.

23%

Tom brown decided to purchase a new bike on an installment loan.The bike was $300.00He agreed to pay $30 a month for 12 months . What is the finance charge in dollars

Answers

Answer:

The answer is $60. $30 × 12 = $360 – $300 = $60.

Step-by-step explanation:

What is the next number in the pattern below? 3, 5, 9, 15, 23, ___ A. 31 B. 33 C. 35 D. 37

Answers

Answer:

33. numbers are being increased by a certain number, that number being increased by 2 every time

Step-by-step explanation:

Can anyone please explain
what a function mean? (in maths:graph,etc) i haven't learnt this but it might be useful for future references​

Answers

Answer:

For example, the position of a planet is a function of time. ... A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function.

Step-by-step explanation:

You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur. How many different routes are possible?

Answers

Answer:

i think maybe 5 routs or 7

Step-by-step explanation:

there are diffrent ways to get to rides

There are total 120 possible routes available.

What is combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the selection does not matter.

Given that, You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur.

Since, there are 5 five ride, so possible rides = 5!

= 5x4x3x2x1

= 120

Hence, There are total 120 possible routes available.

For more references on combinations, click;

https://brainly.com/question/19692242

#SPJ3

HELP If you apply these changes to the linear parent function , f(x)-=x what is the equation of the new function vertically compress by a factor of 5 shift up 7 units

Answers

Answer:

transformed function, g (x) = (1/5)(-x)+7

Step-by-step explanation:

Assuming

f (x) = -x           (and not f(x)-=x)

To compress/expand, we apply

g (x) = a*f(bx-k)+h

where

a=vertical stretch factor, a= 1/5 for compression (to stretch 5 times, a=5)

b=horizontal compression factor (=1 i this case)

h=vertical translation (=7)

k=horizontal translation (=0)

So the transformed function,

g (x) = (1/5)(-x)+7

Help!!!! please!!!!!

Answers

Answer:

40cm²

Step-by-step explanation:

The lateral area is the sum of the faces's area

let La be the lateral area

La= 4*5*2= 20*2= 40 cm²

Which one of the following statements is FALSE about symmetry? Select one: a. An object and its image in a mirror are symmetric. b. The diagonal of a rectangle is a line of symmetry. c. A square has four lines of symmetry.

Answers

Answer:

B. The diagonal of a rectangle is a line of symmetry.

Step-by-step explanation:

because the sides are not the same length. if you fold this rectangle diagonally so that Corner A meets Corner D, they will not match.

Thank Me later!

If you took $1,000 and put it into an interest-bearing savings account compounding quarterly at 3%, how much would your fund be worth at the end of one year?

Answers

Answer:

$1007.50

Step-by-step explanation:

Compounded Interest Rate Formula: A = P(1 + r/n)^t

We are given p, r, n, and t. Simply plug them into the formula:

A = 1000(1 + 0.03/4)¹

A = 1000(1.0075)¹

A = 1000(1.0075)

A = 1007.50

SOMEONE PLEASE HELP ME THIS IS CONFUSING PLEASEE
An ISOSCELES right triangle has a hypotenuse of x√6 units what is the area of the triangle?

Answers

Answer:

x^2/2

Step-by-step explanation:

Alright, lets go.

Isosceles right triangle means a 45-45-90 triangle.

In a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] times the leg.

Therefore, the length of the leg is x√3.

The area of a triangle is b(h)/2

In a 45-45-90 right triangle, the area is equal to the length of a leg squared/2

A leg = x√3. (x√3)^2 = 3x^2

The area of the triangle is 3x^2/2

A passenger ship and an oil tanker left port sometime in the morning; the former headed north, and the latter headed east. At noon the passenger ship was 40 mi from port and moving at 30 mph, while the oil tanker was 30 mi from port and moving at 20 mph. How fast was the distance between the two ships changing at that time

Answers

Answer:

distance between the two ships changing at that time is 36 mph

Step-by-step explanation:

given data

ship = 40 mi from port

ship moving = 30 mph

oil tanker = 30 mi from port

oil tanker moving = 20 mph

solution

we will apply here pythagoras theorem so we get here

x² + y² = L²   .....................1

here x is distance of ship from port

and y is distance of oil tanker from port

and L is distance between oil tanker and ship

so put here value and we get

40² + 30² = L²

L = 50 mile

now we differentiate equation1 with respect to time t

[tex]2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}[/tex]      ...............2

put here value  and we get

40 × 30 + 30 × 20 = 50 × [tex]\frac{dL}{dt}[/tex]  

[tex]\frac{dL}{dt}[/tex]   = 36 mph

so distance between the two ships changing at that time is 36 mph

PLLLLLLLLLLEEEEEEEEAAAAAAAASSSSSSSSSSEEEEEEE HELP ME Tracy has forgotten how to complete the square. (A) Give her a detailed description of the process so she can understand how to do it. (B) and provide an example of each.

Answers

Answer:

in an equation ax^2+bx+c to complete the square it turns to

a(x+d)^2+e where d=b/2a and e=c-b^2/4a

example:x^2+4x+1=0

complete the square:

d=b/2a=4/2(1)=2

e=c-b^2/4a=1-4^2/4(1)

e=1-16/4=-3

a(x+d)^2+e

1(x+2)^2-3=0

check if it is rigt: (x+2)^2=x^2+4x+4

x^2+4x+4-3=

x^2+4x+1 it is correct

Which of these tables represents a function

Answers

Answer:

Z.

Step-by-step explanation:

A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.

Which of these are a trinomial?

Answers

Answer:

D

Step-by-step explanation:

i need an answer ASAP! Fill in the table. To obtain each planets distance from the sun and orbital period. ​

Answers

1.47 and the other one would be 1.46

Answer:

Mercury: 0.39 and 0.242

Venus: 0.72 and 0.616

Earth: 1 and 1

Mars: 1.52 and 1.88

Jupiter: 5.20 and N/A

Saturn: N/A and 29.5

Uranus: 19.18 and 84.0

Neptune: 30.06 and 165

Step-by-step explanation:

edge2021

Division by 0 is defined ​

Answers

Answer:

This is false because any number divided by 0 is undefined.

Which of the following steps would you preform to the system of equations below so that the equations have opposite y-coefficients? 4x+2y=4 12x-y=26

Answers

Answer:

FIRST.  Multiply both sides of the bottom equation by 2

Step-by-step explanation:

12x - y = 26

  ×2        ×2

24x - 2y = 52

-2 is opposite to 2

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The pictogram shows what people ate when they went to a restaurant.a) 32 people ate chicken.How many people doesrepresent?Chicken BeefFishVegetarian b) Altogether, how many peoplewent to the restaurant?pls help Equations and functions Whats the answer to this ? Im haveing trouble 2x=8 so find the value of x Keisha wants to estimate the percentage of managers at her company that hold an MBA. She surveys 320 managers and finds that 70 hold an MBA. Find the margin of error for the confidence interval for the population proportion with a 90% confidence level. If abc=dec b=2x+31 and e=7x-24 x=? WILL GIVE BRAINLiest!!!! What is the electron configuration of the gallium ion? -1 s 22 s 22 p 63 s 23 p 6 -1 s 22 s 22 p 63 s 23 p 54 s 1 -1 s 22 s 22 p 63 s 23 p 63 d 10 -1 s 22 s 22 p 63 s 23 p 64 s 24 p 6 if a 0.15% protein solution and a 0.12% protein solution are separated by a semipermeable membrane, what will happen? PLEASE HELP ME! I NEED ANSWERS FAST! WILL MARK THE BRAINLIEST! Pea plants are tall if they have the genotype TT or Tt, and they are short if they have the genotype tt. A tall plant is mated with a short plant. Half the offspring are tall, and half are short. This allows us to conclude that the tall plant is __________. Knowledge Check 01 Cartier Corporation currently sells its products for $50 per unit. The companys variable costs are $20 per unit. Fixed expenses amount to a total of $5,000 per month. What is the companys contribution margin ratio? Express each percent as a decimal:7 1/2% Drag each tile to the correct box. Not all tiles will be used. A dependent variable is: A measured to show the effect of a changeB kept the same to make and experiment a fair test C collected to draw conclusions D changed to test a hypothesis A lens with f= 20.0 cm creates avirtual image at -37.5 cm (in front ofthe lens). The object is 4.44 cmtall. How tall is the image?(Mind your minus signs.)(Unit = cm) Please Help I will mark brainliest Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1) Please help me. I really appreciate it if you answered. Thank you! Multiply (-19/29)(11y) Negative and positive impacts of the corona Virus on the people and economy Briefly describe the relationship between an equipotential surface and an electric field, and use this to explain why we will plot equipotential lines. After researching the different forms of business organization, Natalie Koebel decides to operate "Cookie Creations" as a corporation. She then starts the process of getting the business running. In November 2015, the following activities take place.A. Natalie cashes her U.S. Savings Bonds and receives $520, which she deposits in her personal bank account.B. She opens a bank account under the name "Cookie Creations" and transfers $500 from her personal account to the new account in exchange for common stock.C. Natalie pays $65 to have advertising brochures and posters printed. She plans to distribute these as opportunities arise.D. She buys baking supplies, such as flour, sugar, butter, and chocolate chips, for $125 cash.E. Natalie starts to gather some baking equipment to take with her when teaching the cookie classes. She has an excellent top-of-the-line food processor and mixer that originally cost her $750. Natalie decides to start using it only in her new business. She estimates that the equipment is currently worth $300. She invests the equipment in the business in exchange for common stock.F. Natalie realizes that her initial cash investment is not enough. Her grandmother lends her $2,000 cash, for which Natalie signs a note payable in the name of the business. Natalie deposits the money in the business bank account. (Hint: The note does not have to be repaid for 24 months. As a result, the notes payable should be reported in the accounts as the last liability and also on the balance sheet as the last liability.)G. She buys more baking equipment for $900 cash.H. She teaches her first class and collects $125 cash.I. Natalie books a second class for December 4 for $150. She receives $30 cash in advance as a down Natalie pays $1,320 for a one-year insurance policy that will expire on December 1, 2016.(a) Prepare journal entries to record the November transactions. (Credit account titles are automatically indented when amount is entered. Do not indent manually. Record journal entries in the order presented in the problem. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.)(b) Post the journal entries to general ledger accounts.(c) Prepare a trial balance at November 30.