HELPP!!!
How can you tell whether a graph is a function?

The cost c of fish varies directly as its weight w in kilograms.

a.Direct variation

b.joint variation

c.combined variation

A SIMPLE RELATIONSHIP BETWEEN TWO VARIABLES IS DESCRIBED AS A DIRECT VARIATION.

When c=kw, where k is the variational constant, we say that c directly varies with w.

2. The quantity of men (n) required to complete a task varies inversely with the duration (d) of the task.

INVERSE VARIATION: Inverse variation occurs when the product of two variables (n and d) ALWAYS equals a fixed value (k). Example,

N=k/d states that the required number of men (n) varies inversely with the number of days (d) required to complete the task.

Know more about combined variation

https://brainly.com/question/18843178

#SPJ4

Step-by-step explanation:

No vertical reflection, stretch, or compression has been applied.

Horizontal translation: The graph has been shifted to the right by 122 units.

Vertical translation: The graph has been shifted up by 2 units.

Answer:Fixed expenses are those that do not change regardless of the level of production or consumption. Variable expenses are those that change in proportion to the level of production or consumption.

Based on the table provided, the following expenses can be considered fixed:

$4,640

$10,304

$2,500

$3,998

These expenses could be considered fixed because they do not appear to be directly related to the level of production or consumption. For example, $4,640 could be tuition fees, which remain the same regardless of how many classes a student takes or how much they use campus facilities.

The following expenses can be considered variable:

$3,000

$700

These expenses could be considered variable because they may be directly related to the level of production or consumption. For example, $3,000 could be the cost of books, which may change depending on the number of classes a student takes. $700 could be spending money for daily needs like food, transportation, or entertainment, which would likely vary depending on how much a student spends.

In conclusion, the distinction between fixed and variable expenses is based on the relationship between expenses and the level of production or consumption. The expenses listed above have been categorized as fixed or variable based on this relationship.

Equation for charges of first plan

C₁ = 24.t

Equation for charges of second plan

C₂ = 9t + 2995

If we talk for _199.7__ minutes the two plans will cost the same.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given,

First plan charges rate of 24 cents per minute

C₁ = 24.t

C₁ is the charge of first plan

t is the number of minutes

Second plan charges $29.95 plus 9 cents per minute.

C₂ = 9t + $29.95

1 dollar = 100 cents

C₂ = 9t + 2995

Where C₂ is the charge of first plan

t is the number of minutes.

Let after x minutes the cost of both plans will be same

C₁ = C₂

24x = 9x + 2995

24x - 9x = 2995

15x = 2995

x = 2995/15

x = 199.667 ≈ 199.7 minutes

Hence, C₁ = 24.t and C₂ = 9t + 2995 are the equations for the charges of first plan and second plan respectively.

After talking 199.7 minutes the cost of two plans will be same.

Learn more about linear equation here:

https://brainly.com/question/21835898

#SPJ1

Answer:

below

Step-by-step explanation:

2x-y =14

-3x+y = -6     add these two equations together....this will 'eliminate' y

-x = 8

x = -8    use this value of x in one of the equations to find y = -30

Answer:

Below

Step-by-step explanation:

(5x2 + 2x + 11) − (7 + 4x − 2x2) = 5x^2 + 2x + 11 - 7 - 4x + 2x^2 =

                                                     (5x^2 + 2x^2 ) + ( 2x-4x) +(11-7) =

                                                                7x^2     - 2x   + 4

The required, each student will pay $10, as per the given condition.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
The question seems to be incomplete,
Let's assume that the bill is of $50 excluding taxes

Now, each student has to pay = 50 / 5
                                                  = $10 per head

Thus, the required, each student will pay $10, as per the given condition.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1

Answer:

To calculate the value of X, we first need to calculate the total amount of money Miss Saver will have saved by the time she retires at age 60.

We know that her first payment is $1000, and that every subsequent payment increases by 5%. Using this information, we can calculate the total payments made during the 30 years:

$1000 x (1 + 0.05)^30 = $1000 x 3.3201 = $3320.1

This is the total amount of money Miss Saver will have saved by the time she retires at age 60.

Next, we need to calculate the value of each annual withdrawal over the 20 years of withdrawals.

We know that the effective annual interest rate is 2% perpetually, so we can use the formula for the future value of an annuity:

FV = X * ((1 + r)^n - 1) / r

where X is the annual withdrawal, r is the interest rate (0.02), and n is the number of years (20).

We can use this formula to solve for X:

3320.1 = X * ((1 + 0.02)^20 - 1) / 0.02

X = 3320.1 * 0.02 / (1.02^20 - 1)

X = 3320.1 * 0.02 / 0.1135 = $292.36

Therefore, Miss Saver needs to withdraw $292.36 each year for 20 years to deplete her savings account.

Rounded to the nearest integer, the value of X is $292.

Answer:

11

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare the numbers, and you can compare them using division.

Currently, there is 1 red circle and 3 blue circles, making the ratio 1: 3.

The ratio 12:3 can be simplified to get 4:1.

Therefore, you will need to add 11 red circles to get the ratio 4: 1.

The equation of the circle will be x² +y² +7x +11.

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

The fixed point is referred to as the circle's origin or center, and the fixed distance between each point and the origin is referred to as the radius.

The general form of the equation of a circle is x² + y² + 2gx + 2fy + c = 0.

The equation can be written as:-

( x - x₁)( x - x₂) + ( y - y₁) ( y - y₂)

( x + 4 ) ( x + 3) + ( y + 1) ( y -1)

x² +7x +12 + y² - 1

x² + 7x + y² +11

Hence, the equation of the circle is x² + 7x + y² +11.

To know more about the equation of a circle follow

https://brainly.com/question/24810873

#SPJ1

The instantaneous rate of change of g(x) = 2/(x + 6) at x = 3 is given as follows:

g'(3) = -0.025.

The function for this problem is defined as follows:

g(x) = 2/(x + 6).

The instantaneous rate of change at x = a is defined as follows:

g'(a).

In exponent format, the function is defined as follows:

g(x) = 2(x + 6)^(-1).

Applying the chain rule, the derivative of g(x) is given as follows:

g'(x) = -2(x + 6)^(-2)[x + 6]'

g'(x) = -2/(x + 6)².

At x = 3, the numeric value of the derivative is given replacing the lone instance of x by 3, hence:

g'(3) = -2/(3 + 6)²

g'(3) = -2/81

g'(3) = -0.025.

More can be learned about instantaneous rate of change at https://brainly.com/question/14666106

#SPJ1

0.15 cups of flour will be in each pancake.

As per the given data:

Desmond is making chocolate chip pancakes for his whole family.

He uses 3 cups of flour to make the 20 equal-sized pancakes.

Here we have to determine that how many cups of flour will be in each pancake.

Here we use the unitary method to find the number of cups of flour will be in each pancake.

Unitary method: The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Number of cups of flour in each pancake = [tex]$\frac{3}{20}[/tex]

= 0.15

Therefore 0.15 cup of flour in each pancake.

For more questions on the unitary method

https://brainly.com/question/23423168

#SPJ4

The discount rate Karissa received is 12% discount.

In a discounted cash flow (DCF) analysis, the interest rate used to calculate the present value of future cash flows is known as the discount rate. This aids in determining if the present-day capital outlay required to fund a project or investment will be greater than the value of the projected future cash flows from that project or investment.

The WACC and adjusted present value are the two main formulas for calculating the discount rate (APV).

WACC = E/V x Ce + D/V x Cd x (1-T) is the formula for the WACC discount, and

APV = NPV + PV of the impact of financing is the formula for the APV discount.

Take the change in price

65 - 57.20 =7.80

And divide by the original price

7.80/65=.12

Change to percent form

12%

To learn more about discount rate refer to:

brainly.com/question/7459025

#SPJ1

Answer:

Step-by-step explanation:

Answer:

  sum = (m+n)(n-m +1)/2

Step-by-step explanation:

You want an expression for the sum of the numbers from m to n.

As the example shows, the sums of the numbers written forward and backward will be the sum of the numbers at the ends of the range:

  m +n

The number of times this sum is repeated is equal to the number of numbers in the range:

  n -m +1

The sum of the numbers in the range will be half the product of these values:

  sum = (m+n)(n-m +1)/2

Let t be the time elapsed in hours, starting at 8:00 A.M. So t = 0 at 8:00 A.M. and t = 3 at 11:00 A.M. The distance traveled by the train can be expressed as the definite integral of its velocity with respect to time:

distance = ∫(87 mph) dt from t = 0 to t = 3

Since mph is a unit of speed, we need to convert it to a unit of velocity (feet per second) in order to evaluate the integral:

87 mph = 87 miles/hour × 5280 feet/mile = 454840 feet/hour

distance = ∫(454840 ft/hr) dt from t = 0 to t = 3

distance = 454840 ft/hr * t from t = 0 to t = 3

distance = 454840 ft/hr * 3 hours

distance = 1364520 feet

So, the train travels a distance of 1364520 feet from 8:00 A.M. to 11:00 A.M.

To learn more about integrals:

https://brainly.com/question/27419605

#SPJ4

The radius of the cylinder is 3 cm and the height of the cylinder is 1.27 cm.

The radius of the cylinder is half of the diameter of the cylinder and the value of the radius is calculated as follows;

r = d / 2

where;

r = ( 6 cm ) / ( 2 )

r = 3 cm

The height of the cylinder is calculated as follows;

V = πr²h

where;

h = ( V ) / ( πr² )

h = ( 36 ) / ( π x 3² )

h = 1.27 cm

Learn more about height of cylinder here: https://brainly.com/question/28247116

#SPJ1

The number of terminating zero when the number 6311! is  multiplied out is 252

In mathematics, trailing zeros are a series of digits (usually 0) that follow a number's decimal form or, more broadly, any positional representation.

In mathematics, the term "factorial" refers to the product of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point.

Thus, factorial five is denoted by the symbol 5!, which stands for 1 * 2 * 3 * 4 * 5. Factorial 0 is equivalent to 1 by definition.

For the problem 6311! has 252 trailing zeros

Learn more about factorials at:

https://brainly.com/question/25997932

#SPJ1

Answer:

---------------------------

Terminated zeros at the end of number n! is found as the sum of the whole quotients of n and powers of 5 less than n.

Given:

This is greater than 5⁵ = 3125 but less than 5⁶ = 15625.

Find each quotient of 6311 and 5¹ through 5⁵ :

Sum of the quotients is the number of terminating zeros:

Draw a line connecting the two perpendicular lines, creating a triangle. Calculate the two remaining unknown sukutes, subtract 62 from 180 to get 118 degrees, and divide this by two to get 59 degrees.

What are perpendicular lines?

Perpendicular lines are described in geometry as line segments that join or overlap at right angles. The word 'perpendicular' comes from the Latin word 'perpendicularis,' which means a plumb line.  If two lines AB and CD are parallel, we may express them as AB and CD. The sign indicates that the lines are perpendicular.

Step 1: Draw a line from the center of the windshield to the left side of the windshield. This line should be 90 degrees.

Step 2: Draw another line perpendicular to the first line, going from the center of the windshield to the right side of the windshield. This line should also be 90 degrees.

Step 3: Draw a line connecting the two perpendicular lines, creating a triangle. This line should be 62 degrees.

Step 4: Calculate the two remaining unknown sukutes. To do this, subtract 62 from 180 to get 118 degrees. Then divide this by two to get the two remaining unknown sukutes, which should both be 59 degrees.

To know more about perpendicular lines, visit

brainly.com/question/18271653

#SPJ1

The dimensions of width, length and height of the passenger section of the train are 3 meters, 13 meters and 3 meters respectively.

The volume of a rectangular prism is expressed as;

V = w × h × l

Where w is the width, h is height and l is length

Given that;

First, plug in the given values into the above formula and solve for x.

V = w × h × l

117 = ( 2x - 7 )( 2x + 3 )( x - 2 )

Expand using FOIL method

( 2x - 7 )( 2x + 3 )( x - 2 ) = 117

( 2x(2x) + 2x(3) - 7(2x) - 7(3) )( x - 2) = 117

( 4x² - 8x - 21 )( x - 2 ) = 117

Expand

4x³ - 16x² - 5x + 42 = 117

4x³ - 16x² - 5x + 42 - 117 = 0

4x³ - 16x² - 5x - 75 = 0

Using rational roots text

(x - 5)(4x² + 4x + 15 ) = 0

( x - 5 ) = 0

x - 5 = 0

x = 5

4x² + 4x + 15 = 0

x = -1±i√14 / 2

Since dimensions are real and positive numbers, we use;

x = 5

To determine the dimensions of the passenger section of the train, plug in x = 5 and simplify.

Width = 2x - 7 = 2( 5 ) - 7 = 10 - 7 = 3 meters

Length = 2x + 3 = 2( 5 ) + 3 = 10 + 3 = 13 meters

Height = x - 2 = 5 - 2 = 3 meters

Learn more about volume of rectangular prism here: https://brainly.com/question/9796090

#SPJ1

Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - [tex]\frac{3}{2}[/tex] x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = [tex]\frac{0-3}{0-(-2)}[/tex] = [tex]\frac{-3}{0+2}[/tex] = - [tex]\frac{3}{2}[/tex] , then

y = - [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - [tex]\frac{3}{2}[/tex] (0) + c = 0 + c , so

c = 0

y = - [tex]\frac{3}{2}[/tex] x + 0 , that is

y = - [tex]\frac{3}{2}[/tex] x

The inverse Laplace transform of (2/(s+5)) is f(t) = 2 * e^(-5t)u(t).

To find the inverse Laplace transform of F(s) = (2/(s+5)), we can use partial fraction expansion and then use a table of Laplace transforms to identify the inverse transforms.

Step 1: Perform partial fraction expansion on the fraction:

(2/(s+5)) = (2/5) * (1/(1+(s/5))) = (2/5) * (1/1 + (s/5))

Step 2: Recognize the form of the partial fraction as a geometric series, and use the formula for the sum of a geometric series to find the inverse Laplace transform:

The sum of this geometric series is

(2/5) * (1/(1-(-s/5)))

= (2/5) * (1/(1+s/5))

= (2/5) * (5/5+s)

= (2/(5+s))

Step 3: Use the table of Laplace transforms to find the inverse transform of (2/(5+s)):

f(t) = 2 * e^(-5t)u(t)

where u(t) is the unit step function.

For more questions on inverse Laplace transform

https://brainly.com/question/30358120

#SPJ4

Answer:

w ≈ 12.14 cm

Step-by-step explanation:

using the tangent ratio in the right triangle on the left.

let vertical height be x

tan56° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{3.2}[/tex] ( multiply both sides by 3.2 )

3.2 × tan56° = x , then

x ≈ 4.744

using the cosine ratio in the right triangle on the right

cos67° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{w}[/tex] = [tex]\frac{4.744}{w}[/tex] ( multiply both sides by w )

w × cos67° = 4.744 ( divide both sides by cos67° )

w = [tex]\frac{4.744}{cos67}[/tex] ≈ 12.14 cm (to 2 decimal places )

Answer:

w = 12.14 cm

Step-by-step explanation:

See the attached image. Trigonometric functions will be used

Answer:

Sharon needs to receive a score of 43 on the final to have an average score of 80.

Step-by-step explanation:

First, let's understand what is being told to us. We are being asked to find the score Sharon needs on the final, or x. Since the final is worth 2 tests, the final is equal to twice the score she receives, or 2x. Next, we need the average of all the tests, including the final, to be equal to 80. It's important to also note that we will be taking the average of 6 scores. Now, let's use all of our information to write an equation to solve:

( 77 + 84 + 72 + 65 + 96 + 2x ) / 6 = 80.   [Combine like terms]

( 394 + 2x ) / 6 = 80   [Multiply by 6]

394 + 2x = 480   [Subtract 394 from both sides'

2x = 86   [Divide both sides by 2]

x = 43

So, Sharon needs to receive a score of 43 on the final to have an average score of 80.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

The mode, median, mean ,weighted mean, spread of the set of data are: 125, 190, 278429,  765 respectively

We are asked to find the following

Mode:  This is the highest occurred frequency in a set of data and the mode here is 125

The median is the middle frequency when arranged in an order of magnitude the the set of data is  $125,000, $125,000, $178,000, $190,000, $216,000, $225,000, and $890,000. the median is 190

The mean is the average of the data that is: ( $125,000,+$125,000+$178,000+$190,000+$216,000+$225,000+$890,000)/7 = 1949000/7 = 279429

the spread is the range which is the highest frequency minus the lowest frequency =  $890,000 -$125,000= 765000

Lean more about measure of central tendency on https://brainly.com/question/30218735

#SPJ1

Answer:

median

Step-by-step explanation:

Among the given, only 0.5 can be exactly represented in binary notation with a finite number of bits

Hence, option (d) is the correct choice.

Binary is a base-2 number system in which a number is represented by two states: 0 and 1. We can also refer to it as a true and false condition. A binary number is constructed in the same manner as a decimal number.

Binary data is information expressed or displayed using the binary number system. Binary data is the only type of data that a computer can directly understand and execute. It is represented numerically as a series of zeros and ones.

The binary representation of 0.5 is 0.1_2, and it is the only terminating fraction among the available possibilities.

As a result, it is the only fraction that can be expressed precisely.

All of the other possibilities have a non-terminating fraction portion and hence cannot be expressed accurately with a limited amount of bits.

For more questions on Binary Notation

https://brainly.com/question/16612919

#SPJ4

The complete question may be:

Which of the following decimal numbers can be exactly represented in binary notation with a finite number of bits?

(a) 0.1

(b) 0.2

(c) 0.4

(d) 0.5

(e) All the above

Composite Functions for : f [ g (x) ] = 3 g(x) + 7 will be f [ g(x) ] = 3 ( 5x - 5) + 7 = 15x - 8

Common functions typically have a subset of the real numbers as their domain. Any integer from the domain may be used to replace a variable.

The domain of a composite function is determined by another function, not by a collection of numbers. We refer to it as "a result of another function. Example:

If: . f (x) = 3x + 7 . f [g(x)] must be found and simplified. g(x) = 5x - 5. Due to the fact that the domain of this function is a function of another function, f (x) is a simple function or just a function.

Let's make the example I gave previously simpler.

G (x) signifies in f "Replace x with g (x) in the function f (x). The Composite function f [g (x)]

we have : f [ g (x) ] = 3 g(x) + 7 . but . g( x) = 5x - 5

replace x in f[ g(x ) ] . by. 5x - 5 and simplify

f [ g(x) ] = 3 ( 5x - 5) + 7 = 15x - 8 **

Know more about Composite Functions

https://brainly.com/question/10687170

#SPJ4

The question seems to be wrong

Evaluating Composite Functions for : f [ g (x) ] = 3 g(x) + 7