Find the distance between the two points rounding to the nearest tenth (if necessary).
(-1,4) and (8,2)

Answer:

0.01775

Step-by-step explanation:

The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

From the question, we are to determine how much water is left in the barrel

From the given information,

"The barrel is filled with 18 gallons of water"

and

"Ryan used 9.7 gallons to water his garden in June"

After this time,

The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons

= 8.3 gallons

Then,

3 and one eighth gallons in July

3 and one eighth = 3 1/8 = 3.125 gallons

The quantity of water that would be left is 8.3 gallons - 3.125 gallons

= 5.175 gallons

Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

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Answer:

b

Step-by-step explanation:

Answer:

The answer to the question is the third answer

We're given:

If the shop sold " [tex]9\dfrac{9}{10}[/tex]  times as much milk chocolate as white chocolate", we must multiply [tex]9\dfrac{9}{10}[/tex] by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply [tex]9\dfrac{9}{10}[/tex] by 9 ounces:

[tex]9\dfrac{9}{10}\times9[/tex]

Convert the fraction into an improper fraction:

[tex]=\dfrac{99}{10}\times9[/tex]

Multiply:

[tex]=\dfrac{891}{10}[/tex]

The shop sold [tex]\dfrac{891}{10}[/tex] ounces of milk chocolate.

The inequality to represent the given condition is -3<x<7 .

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] It is frequently used to compare two numbers on the number line based on their sizes. Different types of inequalities are represented by a variety of notations, including:

The given statement gives the solutions of all real numbers between 3 and 7.

Therefore if we consider a real number x then, x>-3 and x<7 .

Combining together for a compound inequality: -3<x<7.

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Answer:

1. y= = 0.5 (2, 0.5)

2. y= 0 (4, 0)

3. y= -0.5 (6, 0.5)

Step-by-step explanation:

To get your answer, you would want to plug in the x-coordinates into the equation and solve for y.

answer : 452\12 ×2

452/24

18.83333333 answer

Answer:

18

Step-by-step explanation:

tbh I kinda forgot how to do this but ill try,

input 3 into the f(x)

4(3)+6=12+6=18

Answer:

Adjacent sides.

Step-by-step explanation:

Answer:

To construct a rectangle, you must have the measurement of one side and it's adjacent side.

Step-by-step explanation:

to construct a rectangle you must have one side and :

(1) it’s opposite sides

(2) it’s adjacent sides

(3) two angles

(4) four angles

Given the length and width, the expression for the perimeter of the rectangle is 10x - 16.

The perimeter of rectangle is expressed as;

P = 2( l + w )

Where l is length and w is width.

Given the data in the question;

Plug the given values in the equation above

Perimeter = 2( l + w )

Perimeter = 2( (3x+ 1) + ( 2x - 9) )

We can go on and simplify.

Perimeter = 2( (3x+ 1) + ( 2x - 9) )

Perimeter = (6x+ 2) + (4x - 18)

Perimeter = 6x+ 2 + 4x - 18

Perimeter = 10x - 16

Given the length and width, the expression for the perimeter of the rectangle is 10x - 16.

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The equation which shows the volume of rectangular box is w² + 5w - 56 = 0.

A rectangle is a two-dimensional (2D) shape with opposite sides that are parallel as well as equal to each other and four right angles.

The breadth (width) of a rectangle is the shorter side, and the length is the longer side.

Then, the equations are as follows:

l = w + 5

The height of the box will be 1 inch which is cut and folded upward.

vol = l x w x h = 56 in³

Substitute the value of l in the equation.

56 = (w + 5)(w)(1)

56 = w² + 5w

w² + 5w - 56 = 0

Therefore, the equation which represent the volume of the rectangular box on 56 in.³ is  w² + 5w - 56 = 0.

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[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{16 \dfrac{40}{50}}[/tex]

[tex]\mathsf{= \dfrac{16\times50 + 40}{50}}[/tex]

[tex]\mathsf{= \dfrac{800 + 40}{50}}[/tex]

[tex]\mathsf{= \dfrac{840}{50}}[/tex]

[tex]\mathsf{= 840\div50}[/tex]

[tex]\mathsf{= 16.8}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{16.8}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

USE AIR MATH!!

Step-by-step explanation:

hope that helps

By solving a system of equations we can conclude that ross has a total of $200 in $5-notes.

Let's define the variables:

We know that there are 15 more $2-notes than $5-notes, then:

y = x + 15

And the total amount of $5-notes is $90 more than the total amount of $2-notes.

x*5 = 90 + y*2

Then we have a system of equations:

y = x + 15

x*5 = 90 + y*2

Replacing the first equation into the second one we get:

x*5 = 90 + (x + 15)*2

Now we can solve this for x:

x*5 = 90  + x*2 + 30

5*x - x*2 = 90 + 30

3*x = 120

x = 120/3 = 40

x = 40

In this way, we conclude that Ross has 40 of the $5-notes, then the total value is:

40*$5 = $200

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Answer:

the answer is 435

Step-by-step explanation:

the change between each line is 105, so we start to add and then you get the resul

The value of A in the number line is the in-between of 225 and 645 so it is 435.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given the number line,

Now if we count the interval of A between 225 and 645 it is 2(same).

So A must be between 225 and 645.

So,

225 - A = A - 645

2A = 870

A = 435

Hence "The value of A in the number line is the in-between of 225 and 645 so it is 435".

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Answers:

f(6) = 4

f ' (6) = 1/6

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

Explanation:

f(6) = 4 since the point (6,4) is on the f(x) curve. This is where the tangent is touching.

The tangent line also goes through (0,3)

Let's find the slope of the line through those two points.

[tex](x_1,y_1) = (6,4) \text{ and } (x_2,y_2) = (0,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 4}{0 - 6}\\\\m = \frac{-1}{-6}\\\\m = \frac{1}{6}\\\\[/tex]

The slope of the tangent line is 1/6. This is the value of f ' (6) because the derivative measures the tangent at the given x value. It's useful to determine the instantaneous rate of change.

Answer:

putting values,

13*13-3*13+3

=169-39+3

=133

The cost per item for maximum profit is $7.50 .

The maximum and minimum value of a function f(x) is calculated by finding the first and second derivative of f(x).

The cost to produce x pies is given by the cost function

[tex]C(x)=3x+36[/tex]

The price demand function for each pie is given by

[tex]p(x)=12-0.5x[/tex]

Revenue gained from selling x pies

[tex]R(x)=x\times p(x)\\or,R(x)=x\times(12-0.5x)\\or,R(x)=12x-0.5x^2[/tex]

Now profit function is given by

[tex]P(x)=R(x)-C(x)\\or,P(x)=-0.5x^2+12x-3x-36\\or,P(x)=-0.5x^2+9x-36[/tex]

Now we have to find the maximum profit. We know that for a function

[tex]P(x)=-0.5x^2+9x-36\\P'(x)=-x+9[/tex]

[tex]P''(x)=-1[/tex]

At P'(x)=0

or,-x+9=0

or, x=9

As P''(x)<0 therefore the profit function P(x) is maximum for x at P'(x)=0.

The profit is maximum at x=9

Price to charge per item=12-0.5x

Substituting the value of x we get:

[tex]p(x)=12-(0.5\times 9)\\or,p(x)=12-4.5\\or,p(x)=7.5[/tex]

Therefore the cost per item for maximum profit is $7.50 .

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The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) [tex]\frac{x}{3}[/tex]+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)[tex]\frac{x}{3}[/tex]+6 > 12

⇒[tex]\frac{x}{3}[/tex] > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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$690 is the next bill payment will be added for the next billing cycle.

What is rate of interest ?

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Total payment charged = $900

amount paid = $300

amount remained = $600

APR on $600 = 15%

= 600*15/100

= 600*0.15

= $90

Therefore, in the next bill total amount charged is 600 +90 = $690

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Answer:

7.50

Step-by-step explanation:

Finance Charge =.1512×$600=$7.50

$7.50 will be added to his balance next billing cycle, it is the cost he must pay for borrowing $600 from the credit card company this cycle.

Answer:

In decimal

[tex] - 2.8[/tex]

As fraction

[tex] \frac{ - 14}{5} [/tex]

And as mixed fraction

[tex] - 2 \frac{4}{5} [/tex]

Step-by-step explanation:

Greetings !

Given expression

[tex]f(x) = \frac{x - 8}{x + 11} [/tex]

Thus, plug in -6 in the variable x and solve

[tex]f( - 6) = \frac{ - 6 - 8}{ - 6 + 11} [/tex]

solve -6-8 = -14

solve -6+11 = 5

[tex] = \frac{ - 14}{5} [/tex]

Apply fraction rule

[tex] \frac{ - a}{b} = - \frac{a}{b} [/tex]

Thus

[tex] = - \frac{14}{5} [/tex]

Convert iimproper fraction to mixed fraction .

[tex] \frac{14}{5} = 2 \: \: remainder \: \: 4[/tex]

[tex]convert \: to \: mixed \: number \\ quotient \frac{remainder}{divisor} [/tex]

whereas

[tex] \frac{14}{5} = 2 \frac{4}{5} [/tex]

[tex] = - 2 \frac{4}{5} [/tex]

Hope it helps !!!

in the equation y= -x-1/2

the slope is -1/1 which can also be shown as -1.

The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).

To determine whether or not a relationship is proportional, we can see if two given ratios are the same.

We're given:

These pieces of information are ratios. We can write them in the following format:

[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}[/tex] and [tex]\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]

We can see if they're equivalent by finding a common denominator.

Multiply the first ratio by [tex]\dfrac{2}2[/tex]:

[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]

The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.

Yes, there is a proportional relationship.

Step-by-step explanation:

all real numbers greater than our equal to -1.

as the parabola function is y = something in x², the parabola opens up either up or down.

if the function would have been x = something in y², the parabola would open left or right.

but our parabola here opens therefore up and down.

the vertex is therefore the maximum or minimum of the parabola. y does not get larger or smaller than the y value of the vertex.

as we see that the curve goes through points with y value 0 (which is clearly larger than -1), it means the vertex is a minimum, and the parabola opens up.

therefore the answer at the beginning. any y value of the function can only be greater than or equal to -1.

Answer:

Step-by-step explanation:

哇，我喜歡吃很多食物，因為我喜歡並喜歡它。

Wa, wǒ xǐhuān chī hěnduō shíwù, yīnwèi wǒ xǐhuān bìng xǐhuān tā.

The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.

If the value of a numerical expression is terminating then they are the rational number then they are called a rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Let's check all the options, then we have

A 1.4142135623..., the number is an irrational number because the number is non-terminating.

B. 2.7182818284..., the number is an irrational number because the number is non-terminating.

C 3.1415926535..., the number is an irrational number because the number is non-terminating.

D 4.1818181818..., the number is a rational number because the number is terminating.

The number 4.1818181818... is a rational number because the number is terminating. Then the correct option is D.

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Answer:

7

Step-by-step explanation:

subtracting a negative is the same as just adding the number, so five minus negative seven is just five plus seven