Find the distance between point N and point M.
-N(-1,2)
*M(-4, 4)
square root of 45
square root of 13
square root of 9
square root of 61

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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Step-by-step explanation:

qbbab w qnajkwkqqnnqnwn

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.

The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.

The given equation is 7 × 870 = 5600 + 49.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Now, product of two numbers 7 and 870 is

7 × 870=6090

⇒ 7 × 870 = 5600 + 490

Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.

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Answer:

[1,2]; m = 7

Step-by-step explanation:

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:

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:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{5}}{\sqrt{8}}[/tex]

Required

Express in its simplest form

To do this, we simply radicalize the given expression by multiplying the expression by the denominator over the denominator.

In other words:

[tex]\frac{\sqrt{5}}{\sqrt{8}} * \frac{\sqrt{8}}{\sqrt{8}}[/tex]

[tex]\frac{\sqrt{5}*\sqrt{8}}{\sqrt{8}*\sqrt{8}}[/tex]

[tex]\frac{\sqrt{40}}{\sqrt{64}}[/tex]

Take positive square root

[tex]\frac{\sqrt{40}}{8}[/tex]

Express 40 as 4 * 10

[tex]\frac{\sqrt{4*10}}{8}[/tex]

[tex]\frac{\sqrt{4}*\sqrt{10}}{8}[/tex]

[tex]\frac{2*\sqrt{10}}{8}[/tex]

Simplify:

[tex]\frac{1*\sqrt{10}}{4}[/tex]

[tex]=\frac{1}{4}\sqrt{10[/tex]

Hence:

[tex]\frac{\sqrt{5}}{\sqrt{8}}=\frac{1}{4}\sqrt{10[/tex]

Answer:

p = 40

Step-by-step explanation:

20/6 = p/12

Reduce the fraction on the left side.

10/3 = p/12

Cross multiply.

3p = 10 * 12

Divide both sides by 3.

p  = 10 * 4

p = 40

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:

(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:

The answer is 1470 seconds.

Step-by-step explanation:

Answer:

Given

Step-by-step explanation:

Statement 1: AB is parallel to CD is justified as 'Given'

Answer: 4. Transporting quests to and from the airport and sightseeing trips.

Step-by-step explanation:

Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.

Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.

the answer is in the picture.

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:

The answer is C.

Step-by-step explanation:

- If it is summertime, the museum closes at 6 p.m. It is 7 p.m. in the summertime. Therefore, the museum is closed.

Answer:

this is a uniform polygon (that is all its sides are of the same value)

6 into number of sides

6 × 10

60

the perimeter of the polygon is 60

Step-by-step explanation:

i hope this helps.

have a great day ahead :D

Answer:60

Step-by-step explanation:

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:

46.76

Step-by-step explanation:

Applying the law of cosines

Answer:

correct its 1.68

Step-by-step explanation:

Answer:

read

Step-by-step explanation:

The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A:

✔ 24 > 16

B:

✔ –22 < –6

C:

✔ 21 > –18

D:

✔ –25 < 5

Multiplying both sides of an inequality by a positive number

✔ does not change

the inequality symbol.

Here  fools the rights answers  hope it helps O<O

Answer:

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 8 greater-than 2, negative 10 less-than negative 2, 15 greater-than negative 5, negative 7 less-than 4. Column 2 is labeled Multiply each side by: with entries negative 2, negative 4, negative 3, negative 5. Column 3 is labeled New Inequality with entries A, B, C, D.

The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality.

A:

✔ –16 < –4

B:

✔ 40 > 8

C:

✔ –45 < 15

D:

✔ 35 > –20

Multiplying both sides of an inequality by a negative number

✔ reverses

the inequality symbol.

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:

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.

Answer: -48 yd

Step-by-step explanation: