3
. (-3, 5); y = *-4
Write an equation passing through the point and the perpendicular to the given line

Answer:

the revenue act of 1862

Step-by-step explanation:

President Abraham Lincoln signed it

Answer:

True

Step-by-step explanation:

The lines has the same slope but y=2x-7 is lower than y=2x

Answer:

You can order pizza in 56 ways.

Step-by-step explanation:

A pizza can be ordered in 56 ways

Step-by-step explanation:

From the information that the problem gives to us, we have that:

For each topping, there are four different choices for the size of the pizza.

For each size of pizza, there are two possible choices of crust.

There are seven toppings for us to choose.

So

4*2*7 = 56

A pizza can be ordered in 56 ways

Answer:

[1,2]; m = 7

Step-by-step explanation:

Answer : Graph the line that contains the point (-2,6) and has a slope of -1/3

Answer:

[tex]y = - \frac{1}{3} x - \frac{20}{3} [/tex]

Step-by-step explanation:

Answer:

The relationship is linear.

Step-by-step explanation:

A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.

The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:

y=m*x + b

In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:

y=5*x + 253

The relationship is linear.

Step-by-step explanation:

qbbab w qnajkwkqqnnqnwn

Answer:

There are 60 boys and 80 girls in Franklin School.

Step-by-step explanation:

"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4

It can also be written as 3/4

Also given

Total number of students: 140

We will use ratios to find the number of boys and girls in shool.

First of all, we have to calculate the sum of ratio which is: 3+4 = 7

Let b be the number of boys and g be the number of girls

Then

[tex]b = \frac{Ratio\ of\ boys}{Sum\ of\ ratio} * Total\ students\\= \frac{3}{7} * 140\\= 3*20\\=60\\g = \frac{Ratio\ of\ girls}{Sum\ of\ ratio} * Total\ students\\g = \frac{4}{7}*140\\= 4*20\\=80[/tex]

Hence,

There are 60 boys and 80 girls in Franklin School.

Answer: (B) Addison can eliminate $45 from Food/Clothes and $41 from Entertainment.

Based on the information given, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00).

Given the following data:

Mathematically, the monthly payment for a credit card can be calculated by using this formula:

[tex]M=P(\frac{r}{1-(1+r)^{-nt}} )[/tex]

Where:

In this scenario, Addison should eliminate $45 from the money budget for Food/Clothes ($445.00) and $41 from Entertainment ($270.00) because they are the least cuts to her current expenses and they would avail her an opportunity to pay off her balance in 24 months (2 years).

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Answer:

406%

Step-by-step explanation:

cuz google says so

Answer:

Step-by-step explanation:

It’s 24

Answer:

b.12 inch squared

Step-by-step explanation:

6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope of a line is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

∴ m = -2

∵ m is the slope of the line represented by the given equation

∴ The slope of the line given by the linear equation is -2

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{6-0}{0-6}=\frac{6}{-6}[/tex]

∴ m = -1

∵ m is the slope of the line shown in the graph

∴ The slope of the line shown in the graph is -1

Answer:

he would be 22 ft smaller than the tree

Answer:

Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.

Step-by-step explanation:

Given function is:

[tex]f(x) = -\frac{3}{4x}[/tex]

There are few steps to find inverse of a function. We will apply them one by one onto the function

Step 1: Replacing f(x) with y

[tex]y = -\frac{3}{4x}[/tex]

Step 2: Replacing y with x and x with y

[tex]x = -\frac{3}{4y}[/tex]

Step 3: Solving the equation in step 2 for y

[tex]x = -\frac{3}{4y}\\y = -\frac{3}{4x}[/tex]

Step 4: Replacing y with inverse of f

[tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex]

Hence,

Option 2: [tex]f^{(-1)}(x) = -\frac{3}{4x}[/tex] is the correct answer.

Answer:

-2.1

Step-by-step explanation:

Answer:

-2.1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Becuase he wanted more then 3000

Answer: -48 yd

Step-by-step explanation:

Answer:

A ratio can be expressed as a word description, with a colon or as a fraction.

Step-by-step explanation:

A ratio can be expressed as a word description, with a colon or as a fraction.

Quantitatively, a ratio is a number representing a comparison between two named values. It is the relative magnitude of two quantities usually expressed as a quotient.

Thus, a ratio can be expressed as a word description between two quantities, for example:

four to five.

It can be represented with a colon. i.e  4:5

Or as a fraction i.e. [tex]\dfrac{4}{5}[/tex]

Answer:

67.

Step-by-step explanation:

First we find the mean:

Mean is add up everything and divide by how much numbers there are.

The numbers are:

[tex]49, 65, 41, 38, 87, 55, 95, 106[/tex].

So we add them up which is 536.

Then we divide by how much numbers there are.

There are 8 numbers so 536/8 which is 67.

Hope this helps :D

Answer:

(17.5 / 120 - 2v) + (15 / v)

Step-by-step explanation:

Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,

chauffeur is paid $15/hour

gas cost = $3.5/gallon.

Gasoline cost per mile :

Cost per gallon = $3.5

Cost per gallon * 1/(m(v))

$3.5 * 1 / (120 - 2v) / 5

$3.5 * 5 / 120 - 2 v

= 17.5 / 120 - 2v

Time = distance / speed

Chauffeur cost = 15 per hour / v

Hence ;

Total cost :

Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

Answer would be - (17.5 / 120 - 2v) + (15 / v)

           Then result will be = 17.5 / 120 - 2v

Hence ;

The total cost will be :  Cost of gasoline + Cost of chauffeur

(17.5 / 120 - 2v) + (15 / v)

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Answer:

a = 18

b = 6√3

Step-by-step explanation:

WE can see in the diagram that there are two right angled triangles formed.

One with 45° angle as other interior angle and other with 60° interior angle.

So we will take the triangles one by one to find the required values.

As a is used in both triangles, first we will find the value of a using the left triangle.

In the triangle,

Hypotenuse = h = 18√2

θ = 45°

Using trigonometric ratio:

[tex]sin\ 45 =\frac{Perpendicular}{Hypotenuse}\\\frac{1}{\sqrt{2}}= \frac{a}{18\sqrt{2}}\\a = \frac{1}{\sqrt{2}} * 18\sqrt{2}\\a = 18[/tex]

Now in the right side triangle

θ1 = 60°

Perpendicular = a = 18

Base = b = ?

So,

[tex]tan\ 60 = \frac{perpendicular}{base}\\\sqrt{3} = \frac{\sqrt{18}}{b}\\b = \frac{18}{\sqrt{3}}\\b = \frac{6*3}{\sqrt{3}}\\b = \frac{6*\sqrt{3}*\sqrt{3}}{\sqrt{3}}\\b = 6\sqrt{3}[/tex]

Hence,

a = 18

b = 6√3

Answer:

B

Step-by-step explanation:

I took an educated guess because i really wasnt sure

Answer:

B. 2e + 7f + 4

Step-by-step explanation:

I took the quiz

Answer:

[tex]y'\approx -0.41[/tex]

Step-by-step explanation:

Implicit Derivatives

When it's not possible to express one variable as an explicit function of the other, we use implicit derivatives and solve for y'.

Find y' in the equation given below:

xe^y - 4y = 3x - 14 + 2e^2

Taking derivatives with respect to x, recalling y'=dy/dx, and dx/dx=1:

(xe^y)' - (4y)' = (3x)' - (14 + 2e^2 )'

Using the product rule for the first derivative, and simple rules for the rest:

e^y + xe^yy' - 4y' = 3 - 0

Recall the derivative of a constant is zero.

Group terms with y' in the left side and the rest in the right side:

xe^yy' - 4y' = 3 - e^y

Factoring y':

y'(xe^y - 4) = 3 - e^y

Solving:

[tex]\displaystyle y'=\frac{3 - e^y}{xe^y - 4}[/tex]

Evaluating for x=2, y=2:

[tex]\displaystyle y'=\frac{3 - e^2}{2e^2 - 4}[/tex]

Calculating:

[tex]\mathbf{y'\approx -0.41}[/tex]

Answer:

(£x - £T - £250) / 2

Step-by-step explanation:

Colin's total wages = £x

Tax = £T

Rent = £250

Total amount remaining = Total wages - tax - rent

= £x - £T - £250

he then shares what's left between himself and his wife. how much do they both get?

He and his wife = 2 people

Each person gets = Total amount remaining / number of people

= (£x - £T - £250) / 2

Or

= 1/2 (£x - £T - £250)

Answer:

1. 10m - 7n

2. 6v - 1

Step-by-step explanation:

9m - 5n + m - 2n

10m - 7n ( combine like terms).

2.  - 1 v + 7v - 1

6v - 1 (combine like terms)

Answer:

1. 9m-7m

2. 6v+2

Step-by-step

Im pretty sure that the answer

The two consecutive integers such that their sum is 141 will be 70 and 71.

The number system is a way to represent or express numbers.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Let's say that two consecutive integers are x and x + 1.

x + x + 1 = 141

2x + 1 = 141

2x = 140

x = 70

So, x + 1 = 71

Thus, it will be 70 and 71.

Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".

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