pls help!! please tell what the independent and dependent variables are, and a function that describes the situation. I will give brainly to whoever answers these!

Pls Help!! Please Tell What The Independent And Dependent Variables Are, And A Function That Describes

Answers

Answer 1

Step-by-step explanation:

Part A:

Given the entry fee of $35, the additional hourly rate of $5, and the total cost of $60:

The independent variable in this given problem is the number of hours, while the dependent variable is the total cost.  

An easier way to understand these concepts is to realize that the total cost depends on the number of hours you spend at the Snow Play Ski Park. The total cost changes by $5 for every hour you spend at the park.

The $35 entry fee is the constant, or the y-intercept. It is the initial cost that you have to pay given the 0 number of hours spent at the park.

Part B:

The function that represents the given situation is:

C(x) = 5x + 35

In order to determine how long can you be at the Snow Play Ski Park, substitute $60 as C(x) into the function:

C(x) = 5x + 35

60 = 5x + 35

Subtract 35 from both sides:

60 - 35 = 5x + 35 - 35

25 = 5x

Divide both sides by 5 to solve for x:

[tex]\frac{25}{5} = \frac{5x}{5}[/tex]

x = 5

Therefore, if you have $60, then you can be at the Snow Play Ski Park for up to 5 hours.  

Note:

Please feel free to change the letter that represents the function to f ( x ) for Part B, if needed.


Related Questions

Suppose all counting numbers are arranged in columns as shown below. Under what letter will the number 2019 appear?

Answers

Answer: b

Step-by-step explanation:

is a function f(x)= 1/x odd or even?

Answers

Answer:

the function is odd.

Step-by-step explanation:

f(x) is even if f(−x)=f(x) . f(x) is odd if f(−x)=−f(x) . Since −1x=−f(x).

Answer:

Odd

Step-by-step explanation:

There are two ways a function can be determined even or odd.

1. Graph

If the line of symmetry is the y=axis, the function is even.

If it can be rotated 180˚ about the origin and lines up with the original equation, it is odd.

If none of the cases above are satisfied, the function is neither.

2. f(-x)

If you substitute -x for x and you get the equation to be the same as before, the function is even.

If you substitute -x for x and you get the previous equation * -1, the function is odd.

If none of the cases above are satisfied, the function is neither.

Willie stands on one side of a cart and pushes with a force of 100 Newtons. Jenny stands on the others side of a filing cabinet and pushes with a force of 100 Newtons. If Willie wants to help Jenny demonstrate balanced forces, what does Willie need to do?

Answers

Willie needs to keep same force acting by him on the cart inorder to balance the force.

Let's check how?

F_1=100NF_2=-100N

[tex]\\ \sf\longmapsto F_{net}=100-100=0N[/tex]

.Hence verified

Moneysaver's Bank offers a savings account that earns 5% interest compounded continuously. If Ravi deposits $3200, how much will he have in the account
after six years, assuming he makes no withdrawals?
Do not round any intermediate computations, and round your answer to the nearest cent
x
5
?

Answers

the answer is 4160$

     After 6 years of investment of $3200 compounded continuously, final amount in the account will be $4319.55.

Moneysaver's Bank offers a saving account with the features as,

Rate of interest = 5% annualTime of investment = 6 yearsPrincipal amount = $3200

Expression to calculate the final amount when compounded continuously,

Final amount = [tex]P.e^{rt}[/tex]

Here, P = Principal amount

r = Rate of interest

t = Duration of investment

By substituting the values in the expression,

Final amount = [tex]3200.e^{0.05\times 6}[/tex]

                      = 3200(1.3498588)

                      = 4319.548

                      ≈ $4319.55

  Therefore, after 6 years of investment of $3200, final amount in the account will be $4319.55.

Learn more,

https://brainly.com/question/2141828  

The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6

Answers

Answer:

false

Step-by-step explanation:

3(2×−4)=8+2×+6

Multiply 3 and 2 to get 6.

6(−4)=8+2×6

Multiply 6 and −4 to get −24.

−24=8+2×6

Multiply 2 and 6 to get 12.

−24=8+12

Add 8 and 12 to get 20.

−24=20

Compare −24 and 20.

one added to the square root of the sum of a number and one is equal to four. find the number​

Answers

[tex]\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}[/tex]

True or false. The only coefficients in the equation
O True
O False

Answers

The answer would be true

Solve
-14 - 7
A. -21

B. -7

C. 7

D. 21

Answers

Answer:

since negative and negative are plus we add it but not

change the sign

Step-by-step explanation:

so the answer is -21

hope I helped

A ___ is a way of expressing a number as a fraction of 100

grade 5​

Answers

Answer:

Percentage is the answer

A percentage is a way of expressing a number as a fraction of 100

In my town, gas prices are always listed to the thousandth place. Since the smallest coin we have is the penny, we have to round them to the hundredth place. If the price of gas is $8.162, what will the price be when we round it to the hundredth place?

Answers

When rounded to the hundredths place, the price would be $8.16

Since the hundredths place is where the .06 was, and the preceding was less than 5, it stayed as .06

Which statement is true?

Answers

The answer is a
Hope this helped!!

Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly. How much money will be in this account after 4 years?
Round your answer to the nearest cent.

Answers

Answer:

There would be $5,372.99 in Camilla's account after 4 years.

Step-by-step explanation:

Total Principal $5,000.00

Total Interest $372.99

* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%

Camilla will have approximately $5,454.41 in her account after 4 years.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.

Now, After 4 years, the investment will grow to:

= $5,000 (1 + (1.8%/12))¹²ˣ⁴

= $5,000 (1 + (1.8%/12))⁴⁸

= $5,454.41

Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.

So, Camilla will have approximately $5,454.41 in her account after 4 years.

Learn more about the mathematical expression visit:

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#SPJ2

NEED RATIONAL

G borrowed $15,000 to buy a business. The interest
rate was 11%. If G paid all the interest and the amount
borrowed with a single payment at the end of 16
months, what is the amount of this payment?

Answers

Ur mom is always welcome and you are a

A water tank is 50cm by 30cm by 20cm. If 1 litre of water costs 300 taka, what is the total cost to fill up the tank with water?

Answers

50 x 30 x 20 = 30000 cm cubed
There are 1000 cm cubes in one litre
30000/1000 = 30 litres
So 300 x 30
9000 taka

Answer:

Step-by-step explanation:

The volume of the tank= (50x30X20) cm^3

                                       = 30000cm^3

                                       = 30 l

1 l costs 300 tk

therefore 30 l costs= 30X300 taka

                                = 90000 taka

can someone PLEASE help me with this!? I’ve been trying to find the answer but I just couldn’t find it. I’m behind in math and this was due four days ago!!

Answers

Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

Solve: (4x^2-3x+7)-(x^2+8x-5)​

Answers

Given polynomial:

(4x²-3x+7) - (x²+8x-5)

⇛ 4x²-3x+7-x²-8x+5

⇛ (4x²-x²) +(-3x-8x)+(7+5)

⇛ (4-1)x²+(-3-8)x+12

⇛ 3x²+(-11)x+12

⇛ 3x²-11x+12

(4x²-3x+7) - (x²+8x-5) = 3x²-11x+12

Note:-

When subtracting two polynomials,change the symbols of the each term in the second polynomial which is subtracted from the first polynomial.

Read more:

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. 8x2 - 50 A) 2(4x - 5)(x - 5) B) 2(2x - 5)(2x - 5) C) 2(2x + 5)(2x + 5) D) 2(2x - 5)(2x + 5) 4) Which binomial is a factor of the polynomial? 3x2 + 7x + 2 A) (...

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Answer:

[tex]3x^2-11x+12[/tex]

Step-by-step explanation:

First, distribute the negative:

[tex]4x^2-3x+7-x^2-8x+5[/tex]

Then combine like terms:

[tex]3x^2-11x+12[/tex]

A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?

A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______

(Make sure you use the correct variable.)

B) Use your equation to find the dimensions of the field.

The width of the field is ____________ feet.

The length of the field is ____________ feet.

Answers

Let width be xLength=6x

ATQ

[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]

[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]

[tex]\\ \tt\longmapsto 7x=595[/tex]

[tex]\\ \tt\longmapsto x=595/7[/tex]

[tex]\\ \tt\longmapsto x=85[/tex]

Length=6(85)=510ftWidth=85ft

For a particular event, 808 tickets were sold for a total of $3110. If students paid $3 per ticket and no student paid $5 per ticket. How many students tickets were sold?

Answers

Jsnsjsjsjsjshsjshshsjsjsjdhshshjxjxjxjsjdjxjdjsjdjdjdjdjddjjddi

Find the measure of

Answers

Answer:

∠ A = 43°

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent, so

∠ B = ∠ T  = 55°

The sum of the 3 angles in a triangle = 180°

sum the 3 angles in Δ ABC and equate to 180

2x - 9 + 3x + 4 + 55 = 180 , that is

5x + 50 = 180 ( subtract 50 from both sides )

5x = 130 ( divide both sides by 5 )

x = 26

Then

∠ A = 2x - 9 = 2(26) - 9 = 52 - 9 = 43°

Please help me please!!!!!!!!!

Answers

Step-by-step explanation:

the radius is diameter divided by 2

7/2/2 =1 .75

circumference of a circle is 2πr

2*22/7*1.75=11

3.14*11 =34.54

What is the equation of the line shown in this graph?

Answers

Answer:

y=1

Step-by-step explanation:

the y values r 1 n even using the calculation it will give 1 as y

find the point (x,y) on the curve where dy/dx = 0

Answers

a. By the chain rule,

[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]

Given that [tex]y=e^t+e^{-t}[/tex] and [tex]x=e^{-t}[/tex], we have the derivatives

[tex]\dfrac{dy}{dt} = e^t -e^{-t}[/tex]

[tex]\dfrac{dx}{dt} = -e^{-t}[/tex]

and so

[tex]\dfrac{dy}{dx} = \dfrac{e^t - e^{-t}}{-e^{-t}} = 1-e^{2t}[/tex]

Set this equal to zero and solve for t :

[tex]1-e^{2t} = 0[/tex]

[tex]1 = e^{2t}[/tex]

[tex]\ln(1) = \ln\left(e^{2t}\right)[/tex]

[tex]0 = 2t \ln(e)[/tex]

[tex]0 = 2t[/tex]

[tex]t=0[/tex]

This value of t corresponds to x = e⁰ = 1 and y = e⁰ - 1/e⁰ = 1 - 1 = 0. So the only point on the curve where the derivative dy/dx is zero is (1, 0).

b. Compute the second derivative. Since dy/dx is a function of t, we'll momentarily replace it with f(t). By the chain rule,

[tex]\dfrac{d^2}{dx^2} = \dfrac d{dx} \dfrac{dy}{dx} = \dfrac{df}{dx} = \dfrac{df}{dt}\cdot\dfrac{dt}{dx} = \dfrac{df}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]

We have

[tex]\dfrac{df}{dt} = -2e^{2t}[/tex]

and we've already committed dx/dt. So

[tex]\dfrac{d^2}{dx^2} = \dfrac{-2e^{2t}}{-e^{-t}} = 2e^{3t} [/tex]

Substitute the first and second derivative into the differential equation:

[tex]\left(\dfrac{d^2y}{dx^2}\right)^2 + \dfrac{dy}{dx} - 1 = 0[/tex]

[tex]\left(2e^{3t}\right)^2 + (1-e^{2t}) - 1 = 0[/tex]

[tex]4e^{6t} -e^{2t}= 0[/tex]

[tex]e^{2t} (4e^{4t} - 1) = 0[/tex]

[tex]4e^{4t} - 1 = 0[/tex]

[tex]4e^{4t} = 1[/tex]

[tex]e^{4t} = \dfrac14[/tex]

[tex]\ln\left(e^{4t}\right) = \ln\left( \dfrac14\right)[/tex]

[tex]4t \ln(e) = -\ln(4)[/tex]

[tex]4t = -\ln(4)[/tex]

[tex]t = -\dfrac{\ln(4)}4[/tex]

Find the equation of the line through (−8,1) which is perpendicular to the line y=−x/2−6.
Give your answer in the form y=mx+b.

Answers

Linear equations can represent parallel lines, perpendicular lines and lines with no relationship at all.

The equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]

The equation is given as:

[tex]\mathbf{y =-\frac x2 - 6}[/tex]

For a linear equation y = mx + b, the slope of the equation is m

So, by comparison:

[tex]\mathbf{m =-\frac 12}[/tex]

The relationship between the slopes of perpendicular lines is:

[tex]\mathbf{m_2 =-\frac 1{m_1}}[/tex]

So, we have:

[tex]\mathbf{m_2 =-\frac 1{-1/2}}[/tex]

[tex]\mathbf{m_2 =2 }[/tex]

This means that, the slope of the line that passes through point (-8,1) is 2

The line equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

This gives

[tex]\mathbf{y = 2(x + 8) + 1}[/tex]

Open brackets

[tex]\mathbf{y = 2x + 16 + 1}[/tex]

Simplify

[tex]\mathbf{y = 2x + 17}[/tex]

Hence, the equation of the line in form of y =mx + b is [tex]\mathbf{y = 2x + 17}[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

1/2(-4+6x)=1/3x+2/3(x+9)

Answers

Answer:

X=4

Step-by-step explanation:

1. Simplify the expression

2. Multiply the fractions:

3. Break up the fraction:

4. Find the greatest common factor of the numerator and denominator:

5. Factor out and cancel the greatest common factor:

6. Simplify the fraction:

7. Multiply the fractions:

8.Solve by distributing:

9. Simplify the arithmetic:

10.Break up the fraction:

11. Find the greatest common factor of the numerator and denominator:

12. Factor out and cancel the greatest common factor:

13.Combine the fractions:

14. Combine the numerators

15. Find the greatest common factor of the numerator and denominator:

16. Factor out and cancel the greatest common factor:

17. Simplify the right side:

HELP PLSSSSSSSSSSSSSS

Answers

Answer:

120

Step-by-step explanation:

Answer:

x=17.7

Step-by-step explanation:

Pythagorean theory

a²+b²=c²

16²+7.5²=c²

256+56.25=c²

√312.25=√c²

c=17.7

Graph the linear equation. X = - 4y​

Answers

Slope is rise .5 run of 2

y + y + y + y + ytytyty
Collect like terms

Answers

This would be 4y + 1ytytyty I believe considering they’re all bunched together in the last bit.

which could be the function graphed below ??

Answers

Answer:

D  [tex]\sqrt{x+4}[/tex]

Step-by-step explanation:

Find the slope of the line that passes through the following points E(4,1 2/3) and F (-2, 2/3)

Answers

The slope is 0 is correct

Evaluate each expression if x = 7, y = 1, and z = 8.
=
19. x + y + 2
20. x + 2z
21. 4y
22. 4x – 3z
23. 4x – 17
24. 62 – 52
shto The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
25. 9y + (2x + 1)
26. 14 + 2z
27. 2 : 2
28. xz
29. y - x
30. 24y - 2
31. x2 – 2y + 8
32. 2xz
33. 30y - 40x – 1,000

Answers

19. 15 1/2
20. 23
21. 2
22. 4
23. 11
24. 8
25. 19 1/2
26. 30
27. 4
28. 56
29. -6 1/2
30. 4
31. 63
32. 112
33. 3200

19, 15.5

20, 25

21, 1/16

22, 4

23, 11

24, 8

25, 19.5

26, 30

27, 4

28, 56

29, 6.5

30, 4

31, 21

32, 112

33, 3,200

here are they

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