1 A map has a scale factor of 1 : 24 000
The distance between two towns is 3.6 km.
How far will this be on the map?

The difference between 6 and 2 is 4

The difference between 10 and 6 is 4

The difference between 14 and 10 is 4

for each number  we just add 4 to the previous number.

14+4 = 18

18+4 =22

22+4 =26

The next 3 numbers in the pattern are 18, 22, 26.

In an Arithmetic Sequence the difference between one term and the another could be a constant. In other words, we just include the same value each time infinitely. An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term.

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Using technology,  the difference between the arithmetic average ROR and the weighted average ROR is 0.5%

What is arithmetic average ROR?

The average arithmetic average ROR is the sum of the rate of returns divided by the number of investments

arithmetic average ROR=(2.1%+4.4%+7.8%+10.5%)/4

arithmetic average ROR=6.20%

total amount invested=$3200+$1750+$1235+$2,300

total amount invested=$8,485

weighted average ROR=($3200/$8485*2.1%+$1750/$8485*4.4%+$1235/$8485*7.8%+$2300/$8485*10.5%)

weighted average ROR=5.68%

difference=6.20%-5.68%

difference=0.5%

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The answer for this equation is -2.69.

Given,

Equation, [tex]\sqrt{5}[/tex] - 4x - 6 = 7

We have to find x using Order of Operations.

That is,

[tex]\sqrt{5}[/tex] - 4x - 6 = 7

[tex]\sqrt{5}[/tex] - 4x = 7 + 6

[tex]\sqrt{5}[/tex] - 4x = 13

-4x = 13 - [tex]\sqrt{5}[/tex]

-4x = 10.76

x = 10.76 / -4

x = -2.69

Therefore, the answer for the given equation [tex]\sqrt{5}[/tex] - 4x - 6 = 7 is -2.69

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∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.

So,

Given: ∠ K ≅ ∠M, KP⊥ PR, MR ⊥ PR

To Prove: ∠KPL ≅ ∠MRL

So, ∠KPL ≅ ∠MRL.

Therefore, ∠KPL ≅ ∠MRL as perpendicular always makes an angle of 90°.

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The actual distance between Los Angeles and San Francisco is 19,83,824 feet.

Given that, the distance between San Diego and San Francisco is 2,683,824 feet away and Los Angeles is about 700,000 feet closer to San Francisco than San Diego.

Distance is the total movement of an object without any regard for direction. We can define distance as how much ground an object has covered despite its starting or ending point.

The actual distance between Los Angeles and San Francisco = The distance between San Diego and San Francisco - The difference in distance.

= 2,683,824-700,000

= 19,83,824

Therefore, the actual distance between Los Angeles and San Francisco is 19,83,824 feet.

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The 2nd and 3rd term of an AP is found to be (a₂ = 95) and (a₃ = 110).

In Arithmetic Progression, the difference between the two numerical orders is a fixed number (AP). Arithmetic Sequence is another name for it.

We'd come across a few key concepts in AP that had been labeled as:

As shown below, the AP can also be referred to in terms of common differences.

Now, the given sequence is; 80, _, _, 125.

The series comprises of four given terms.

Let the first term be 'a₁' = 180.

The second term be 'a₂'.

The third term be 'a₃'.

And, the fourth term is 'a₄' = 125.

Use the nth term formula to find the common difference 'd'.

n-th term:  an = a + (n − 1) × d

a₄ = a + (n - 1)d

125 = 80 + (4 - 1)d

45 = 3d

d = 15

Thus, the common difference is 15.

The second term is calculated as;

a₂ = a₁ + d

a₂ = 80 + 15

a₂ = 95.

The third term is estimated as;

a₃ = a₂ + d

a₃ = 95 = 15

a₃ = 110

Therefore, the 2nd and third term of an AP is computed as 95 and 110.

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The volume of the cone isV = 42.41[tex]Cm^{3}[/tex].

In order to calculate the volume of the solid, you use the following formula:

where

r: radius of the circular base of the cone = 3 cm

h: height from the circular base to the peak of the cone = 4.5 cm

You replace the values of r and h in the formula for the

volume V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex] [tex](3cm)^{2}[/tex]4.5 =42.411  [tex]cm^{3}[/tex] = 42.41 [tex]cm^{3}[/tex]

Hence, the volume of the cone  is 42.41 [tex]Cm^{3}[/tex]

Volume may be a  measure of occupied three-dimensional space. it's  often quantified numerically using SI derived units (such as the cubic meter and liter) or by various imperial units (such as the gallon, quart, cubic inch). The definition of length (cubed) is interrelated with volume.  the quantity  of a container is generally understood to be the capacity of the container; i.e.,  the quantity  of fluid (gas or liquid) that the container could hold,  instead of  the amount of space the container itself displaces.In  past , volume is measured using similar-shaped natural containers and  afterward , standardized containers. Some simple three-dimensional shapes can have its volume easily calculated using arithmetic formulas. Volumes of more complicated shapes  are often  calculated with integral calculus if a formula exists for the shape's boundary.

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Answer:

840

Step-by-step explanation:

360 divided by 3 = 120 Visitors per Hour

Now you do you 120 x 7 which equals to 840

Hope this helps ^^

Step-by-step explanation:

360 visitors in 3 hours.

that gives us the ratio

360/3

and because a ratio is nothing else than a fraction with a special meaning, we cab simplify this like any other fraction too :

360/3 = 120/1 = 120

in other words, out of the 3-hour ratio we know that there are 120 visitors in 1 hour.

and now it is easy to use it to find the number of visitors for 7 hours.

remember, if we multiply one part of the fraction by something, we need to multiply also the other part by the same number so that the value of the fraction stays the same.

in other words, we can only do

a/b × c/c

so, if we multiply the bottom part of our ratio by 7 (to go to 7 hours), we also have to multiply the top part by 7 to keep the ratio :

120/1 × 7/7 = 840/7

that tells us that there are 840 visitors in 7 hours.

Answer:

12:1

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

Answer:

The Fibonacci sequence is defined by , for all , when and . In other words, to get the next term in the sequence, add the two previous terms. The notation that we will use to represent the Fibonacci sequence is as follows: f1=1,f2=1,f3=2,f4=3,f5=5,f6=8,f7=13,f8=21,f9=34,f10=55,f11=89,f12=144,…

Answer:

33a. 7^6

33b. 3^-4

34a. 6^4

34b. 11^0

34c. 5^4

35a. 144

36a. 5^7

36b. 2^8

36c. 3^7

give brainliest

Step-by-step explanation:

Using laws of indices

put all no to the same base

33a. 4+3-1 =6

7^6

33b.-2+8-10=-4

3^-4

34a. 7+2-5=4

6^4

34b. 2-1+3=4

11^4

34c. 6-2=4

5^4

35a. 3^2×4^2

9×16=144

35c. 5*2-6

10-6=4

3^4

36a. Remember 5^3=125

4+3=7

5^7

36b. 5+3=8

2^8

36c. 5+2=7

3^7

In question 35b, I don't think I know it but please give me brainliest.

Hope it helps, for more explanation ask in the comment section.

Answer:

x= 10 , DEG = 60 , GEF = 40

Step-by-step explanation:

Firstly the angle DEH is 90 degrees because of the red square indicating it.

That means the angle DEF is also 90 degrees.

To find the x you would do:

6x + 4x = 90

now add the 6x and 4x together:

10x = 90

now divide 10 from both sides to isolate the x:

x = 10

now you have your x which is 10.

For angle DEG you plug in the 10 for the x:

DEG = 6(10)

after that you multiply the 6 and 10:

DEG = 60

For angle GEF you plug in the 10 for the x:

GEF = 4(10)

after that you multiply 4 and 10:

GEF = 40

Answer: Side C, Side B, Side A

Step-by-step explanation:

m<A=36 degrees

m<C=80 degrees

A+B+C=180 degrees

36+B+80=180

116+B=180

116-116+B=180-116

B=64 ==> m<B=64 degrees

Greatest to least: Side C, Side B, Side A

ΔACD ≅ ΔBCE so DC = EC therefore the triangle will isosceles triangle.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

In the given figure

AC = CB , DA = EB and ∠A = ∠B

So,

ΔACD ≅ ΔBCE

Now corresponding sides of a congruent triangle are the same.

So,

DC = EC therefore the triangle will isosceles triangle.

Hence "ΔACD ≅ ΔBCE so DC = EC, therefore, the triangle will isosceles triangle".

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Using an arithmetic sequence, it is found that the perimeter when 106 triangles are put together is of 108 cm.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

The perimeter of a figure is the sum of the outer sides of the figure. Hence, considering that all sides are 1 cm long, we have that:

Hence the first term and the common difference are given as follows:

[tex]a_1 = 3, d = 1[/tex]

Hence the 106th term of the sequence is:

[tex]a_{106} = 3 + 105 = 108[/tex]

The perimeter when 106 triangles are put together is of 108 cm.

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Answer:  greatest number of bunches using all balloon is 48, using purple ballon is 27

Step-by-step explanation:

[tex]\frac{6}{7} \times(\frac{-3}{13} )+\frac{3}{13}-\frac{( \frac{3}{13} \times8)}{7}[/tex]

By simplifying answer is [tex]\frac{-3}{13}[/tex] in decimals -0.230769

Here, we have done addition, subtraction, multiplication and division.

[tex]\frac{6}{7} \times(\frac{-3}{13} )+\frac{3}{13}-\frac{( \frac{3}{13} \times8)}{7}\\[/tex]

First, We will do Multiplication

Adding a number to itself as many times as the value of the other number is equivalent to multiplying two numbers by their sum.

[tex]\frac{-18}{91} +\frac{3}{13}-\frac{\frac{24}{13} }{7}[/tex]

Now, We will do the division

Basically, dividing is the act of dividing anything into equal sections or groups.

[tex]\frac{-18}{91} +\frac{3}{13}-\frac{24 }{91}[/tex]

Now, We will do the subtraction and Addition

When objects are collected together, addition, a mathematical operation, describes how many total items there are in the collection.

The reverse of adding in mathematics is called subtraction. When a specific number of objects from a group are removed, subtraction is used to determine how many objects are still present in the group.

[tex]\frac{3}{13}-\frac{6 }{13}\\\frac{-3}{13} \\[/tex]

Therefore, the simplified answer is  [tex]\frac{-3}{13}[/tex] in decimals -0.230769.

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Answer:

25

Step-by-step explanation:

just count by five

then that your answer

Answer:

0.6 centimeter

Step-by-step explanation:

The picture below should help you see the tenth place, or where we are rounding to! Since, the number after the tenth place is above 4, we are going to round the tenth place up :)

0.5835 cen. → 0.6 cen.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The equation of the line in standard form passing through point (1 , 2) with slope equal to 4/5 is 4x - 5y = -6.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Using the point slope form, plug in the values of the slope and the point to set up the equation.

(y - y1) = m(x - x1)

where m = 4/5 and (x1 , y1) = (1 , 2)

(y - 2) = 4/5(x - 1)

y - 2 = 4/5 x - 4/5

To express it in standard form, arrange the variables in one side and the constants on the other.

y - 2 = 4/5 x - 4/5

4/5 x - y = -2 + 4/5

4/5 x - y = -6/5

Multiply both sides by 5 to have integer coefficients.

5(4/5 x - y) = 5(-6/5)

4x - 5y = -6

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Answer:

-11/16

Step-by-step explanation:

based on calculator

5:9 is degrees Celsius and the second element is its equivalent in degrees Fahrenheit.

What does a temperature in Fahrenheit mean?

F = (9/5)C+32

F = C x 9/5 + 32

C = (F - 32) x 5/9

The above equations could easily be derived by the following relationships:

Freezing Point = 0C or 32F and Boiling Point = 100C or 212F

Range from freezing point to boiling point = 100C or 180F,

i.e. C : F = 100:180 = 5:9

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The employee's pre-raise salary was $18.75

The given parameters are

New hourly pay = $20.25

Raise = 8%

The new hourly pay of the employee is calculated using

New hourly pay = Pre-raise salary * (1 + raise)

This gives

20.25 = Pre-raise salary * (1 + 8%)

Divide both sides by 1 + 8%

Pre-raise salary = 18.75

Hence, the employee's pre-raise salary was $18.75

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Answer:

Ava had a greater percentage of change because her allowance increased by 150%, while Joey's only increased by 133%

Step-by-step explanation:

To find the percentage of change, you'll divide.

For Ava:

18 ÷ 12 = 1.5

This means her percentage of change is 150%

For Joey:

24 ÷ 18 = 1.33333... (Round to 1.33)

This means his percentage of change is 133%

150% > 133%, so Ava has the greater percentage of change.

Answer:

13 years old

Step-by-step explanation:

Let the age now be = [tex]x[/tex]

Age 5 years ago = [tex]x - 5[/tex]

Age 11 years from now = [tex]x + 11[/tex]

[tex]x - 5 = \frac{1}{3}(x+11)[/tex]

[tex]x - 5 = \frac{1}{3}x + \frac{11}{3}[/tex]

[tex]x - \frac{1}{3}x = \frac{11}{3} + 5[/tex]

[tex]\frac{2}{3}x = \frac{26}{3}[/tex]

[tex]x = \frac{26}{3}/\frac{2}{3}[/tex]

[tex]x = 13[/tex]

Answer:

3rd one

Step-by-step explanation:

My mom is a teacher lol

By using the definition of a rectangle on a Cartesian plane, the coordinates of the vertices C and D are C(x, y) = (5, - 12) and D(x, y) = (- 4, - 12).

Rectangles are quadrilaterals with two pairs of parallel sides of equal length and four right internal angles. On a Cartesian plane, we find define the locations of the vertices of the rectangle below:

A(x, y) = (a, c), B(x, y) = (b, c), C(x, y) = (b, d), D(x, y) = (a, d)

If we know that a = - 4, b = 5, c = - 2, d = - 12, then the coordinates of the vertices C and D are C(x, y) = (5, - 12) and D(x, y) = (- 4, - 12).

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As a customer service representative Stan's yearly bonus would be 516 dollars.

A bonus is a financial compensation that is above and beyond the normal payment expectations of its recipient. Bonuses may be awarded by a company as an incentive or to reward good performance.

We have given that the amount of his yearly bonus in expression which is  -1.5x + 546 dollars.

Where, 'x' = Number of complaints customer

We know that Stan gets 20 complaints,

To find his bonus we will solve this expression -1.5x + 546 by substituting 20 for x.

Bonus of Stan = -1.5x + 546

                        = (-1.5×20) + 546

                        = -30 + 546 = 516  

Hence, the yearly bonus of Stan is 516 dollars.

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The coordinates of the vertices after a 270° counterclockwise rotation around the origin is done are:

When you rotate the vertices of a shape 270° counterclockwise rotation around the origin, then the coordinates change from (x, y) to (y,-x) where x and y are flipped and x becomes negative.

The coordinates after the  270° counterclockwise rotation around the origin are:

S = (7, 0)

S' = (0, -7)

U = (1, 1)

U' = (1, -1)

T = (7, 6)

T' = (6, -7)

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