The vertices of △ABC are A(2, −3), B(−3, −5), and C(4, 1). If (x,y)--> (x+4, y+6), give the vertices of △A′B′C′.

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The mean and standard deviation of the vehicle speed are 58.33 and 11.64 respectively.

The vehicle speed on a particular bridge in china has normal distribution.

5% represents the 5th percentile which is here, 39.18 m/h.

Since 10% travels more than 73.27 m/h, 90% travels less than 73.27 m/h.

So here the 90th percentile is 73.27 m/h.

Also the z-score, z = (x-μ)/σ, where μ is the mean of normal distribution and σ, the standard deviation.

So 39.18 corresponds to the z with p-value 0.05, i.e., z = -1.645 [from the normal tables]

Hence, z = (x-μ)/σ

⇒ -1.645 = (39.18 - μ)/σ

⇒ -1.645σ = 39.18 - μ

⇒ μ = 39.18 + 1.645σ  ----------(1)

Also 73.27 corresponds  to the z with p-value 0.9,i.e., z = 1.28.

Hence , z = (x-μ)/σ

⇒ 1.28 = (73.27 - μ)/σ

⇒ 1.28σ = 73.27 - μ

⇒ μ = 73.27 - 1.28σ  ----------(2)

Equating (1) and (2), we get,

39.18 + 1.645σ  =  73.27 - 1.28σ

2.925σ = 34.05

σ = 11.64

hence μ = 39.18 +1.645 x 11.64

⇒ μ = 58.33

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The kilometres that she has cycled in total by the end of the 18th week is 105.

Based on the information, this is an arithmetic sequence and the formula is illustrated as

= a + (n - 1)d

where a = first term = 20

d = common difference = 5

n = numbers = 18

Therefore, the 18th term will be:

= a + (n - 1)d

= 20 + (18 - 1)5

= 20 + (17 × 5)

= 20 + 85

= 105

The number of kilometers is 105 kilometers.

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The people of the Plymouth Colony fail to achieve the ideals of the Mayflower Compact as A. They did not come together to create a government.

The Mayflower Compact was the Plymouth colony's first government instrument. The Pilgrim Fathers, the emigrants who crossed the Atlantic on the Mayflower in search of religious freedom, wrote the manifesto. On November 11, 1620, it was signed on the sands of what is now Provincetown, near Cape Cod. The pilgrims knew they were in a land unfamiliar to the London Company when the Mayflower docked in Plymouth.

The strangers claimed that the Virginia Company contract was null and void. They believed that because the Mayflower landed outside of Virginia Company territory, they were no longer bound by the charter of the company. Because there was no official government over them, the stubborn strangers refused to acknowledge any regulations.

Many of the pilgrims were already weak from disease and a lack of food when they arrived in Plymouth. The journey had been lengthy, and they were running low on supplies. During the winter, the colony lost about half of its population owing to disease and famine.

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Answer:its A i did it on edge

Step-by-step explanation:

20 shares purchased at $30, means that the initial inversion is 20 times 30 = $600

they are sold for $710, so the difference is 710 - 600 = 110

the commision is 6, so the final gain is 110 -6 =104

profit divided by the inversion:

104/600 = 0.1733

the answer is 17.33 %

Answer:

1:1 or one red circle to one blue circle

There is one red and one blue circle

Step-by-step explanation:

By properties of perpendicular lines and algebra properties, the slope of the line perpendicular to line ℓ is represented by m' > 1.

Let m be the slope of a line, in accordance with analytic geometry, the slope of line perpendicular to the first one is equal to m' = - 1 / m. The statement can be summarized by the following inequality:

0 < m < 1

Then, by algebra properties for inequalities we find that that slope for the perpendicular line is:

0 < m · m⁻¹ < m⁻¹

0 < 1 < m⁻¹

1 < m⁻¹

- m⁻¹ > 1

- 1 / m > 1

m' > 1

The slope of the line perpendicular to line ℓ is represented by m' > 1.

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Answer:

The area of the given triangle is 10 sq meters

Explanation:

The area of a triangle is given by the formula:

Area = 1/2 base . height

Given that the triangle has base = 10m, and height = 2m

Area = 1/2 * 10 * 2

= 10 square meters

Step-by-step explanation:

y varies INVERSELY as x.

that means

y = k/x

therefore,

22 = k/6

k = 22×6 = 132

and then, when y = 15

15 = 132/x

15x = 132

x = 132/15 = 8.8

Answer:

1. 12

2. 4:5

3. 5

4. 30

5. 42

6. 15

7. 36

8. 1120

9. 10 2/3

Step-by-step explanation:

Answer:

In photo

Step-by-step explanation:

The equation in slope intercept form is C(h) = 50h+25  ,the total cost for 8 hours of work is $425 , and for 10 hours of work  is  $525.

In the question;

it is given that

the fixed charge of plumber = $25

charge for per hour of service = $50

the hours of service be "h"

and the total cost be "C"

according to the question

C(h) = 50h+25

the equation in the slope intercept form is C(h) = 50h+25

to find the total cost for 8 hours of work , put h=8

C(8) = 50(8) + 25

= 400+25

= 425

to find the total cost for 10 hours of work , put h=10

C(10) = 50(10) + 25

= 500+25

= 525

Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work  is $525 .

The given question is incomplete , the complete question is

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?

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Answer: 9. 189 divided by 21 is 9.

Step-by-step explanation:

The proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .

In the question ,

it is given that

Karyn proofreads ⇒15 pages in 2 hours for $40

Karyn in 2 hour proofreads 15 pages ,

So, in 1 hour She will proofread = 15/2= 7.5 pages

and will get $40/2 = $20 for 1 hour ,

hence ,her rate in pages per hour is $20 per 7.5 pages per hour .

In 2 hour Karyn earns $40

So , in 1 hour Karyn will earn $40/2 = $20

hence , she earn $20 per hour .

Therefore , the proofreading rate of Karyn in pages per hour is $20 per 7.5 pages per hour , and she earn $20 per hour .

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Answer:

-60x + 32 = -60x - 32

Step-by-step explanation:

The first step to solve this question is combining the like terms in each option.

In those that we end up with:

0x = c

In which c != 0, we have no solution. So

-60x + 32 = 32x + 60

-60x - 32x = 60 - 32

-92x = 28

No 0x, so it has solution

-60x + 32 = 32x - 60

-60x - 32x = -60 - 32

-92x = -92

No 0x, so it has solution

-60x + 32 = -60x - 32

-60x + 60x = -32 - 32

0x = -64

0x equaling a value different of 0, so no solution.

-60x + 32 = -60x + 60

Answer:

if you meant %, the answer is 2016

Step-by-step explanation:

1120 + 80% is 2016

Distances Sandra recorded in order from least to greatest is 1/9, 5/18, 11/36, 7/18, 17/36, 2/3.

Given that, the fractions represent the distances that Sandra recorded is 7/18, 2/3, 1/9, 11/36, 5/18, 17/36.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Here, distance is 10/36

So, the equivalent fractions for the given fractions are

7/18 = 14/36

2/3 = 24/36

1/9 = 4/36

11/36

5/18 = 10/36

17/36

So, least to greatest is

4/36 < 10/36 < 11/36 < 14/36 < 17/36 < 24/36

1/9 < 5/18 <11/36 <7/18 <17/36 <2/3

Therefore, distances Sandra recorded in order from least to greatest is 1/9, 5/18, 11/36, 7/18, 17/36, 2/3.

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In linear equation, The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

What in mathematics is a linear equation?

5.5+6+7+10+7.5+8+9.5+9+8.5+8+7+7.5+6+6.5+5.5=111.5

Since there are 15 values,

           their mean is 111.5/15=7.43 which is very close to the mean.

A)A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes

D)The shape of the histogram can be approximated with a normal curve.

E)The histogram will show that most of the data is centered between 6 minutes and 9 minutes.

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Answer:

y=4/3x+2

Step-by-step explanation:

The number 2n and 2n + 2 will always are 2 consecutive even numbers.

From the given option in the question;

2n and 2n + 2 will always be two consecutive even number.

For, n = 1, the numbers be 2 and 4.

For, n = 2, the numbers be 4 and 6.

For n = 3, the numbers be 6 and 8....and so on.

Thus, the number 2n and 2n + 2 will always are 2 consecutive even numbers.

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The value of a³b for the value of a=3 and b=-5-2i is -135-54i for the given complex number that defines "Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number called “iota”."

Complex numbers are those that are expressed as a+ib, where a and b are real numbers and I is a fictitious number called a "iota." I has the value (√-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im). In the 19th century, the term "complex numbers"—which denotes that they have both real and imaginary components—became widely used. Occasionally, the term "imaginary number" is used to describe a complex number that is not real or, more commonly, a number whose real part is zero (a.k.a "pure imaginary").

Here,

The value of a³b

=3³(-5-2i)

=27(-5-2i)

=-135-54i

For the given complex number that defines "Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and I is an imaginary number called "iota," the value of a³b is -135-54i.

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The table represent a direct proportional relation.

In this question we find a table with four pairs of elements that have to be tested with respect to the direct proportional formula, which is defined below:

y = k · x

Where:

The table represents a direct proportional relation if and only if there is only one constant of proportionality:

k₁ = 12 / 3

k₁ = 4

k₂ = 20 / 5

k₂ = 4

k₃ = 8 / 2

k₃ = 4

k₄ = 32 / 8

k₄ = 4

As k₁ = k₂ = k₃ = k₄, the table represent a proportional relationship.

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An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

 ((((x4)+(5•(x3)))-(2•5x2))-20x)+24

((((x4) +  5x3) -  (2•5x2)) -  20x) +  24

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Answer:

pretty sure its WZX

Step-by-step explanation:

The amount of honey each jar holds is 1/2 cup by jar

To solve this exercise we have to perform a mathematical operation of division with fractions:

Information about the problem:

To find the amount of honey each jar holds we state the following equation:

Amount of honey by jar = Cups brought / Jars filled

Amount of honey by jar = 14 cups /28 jar

Simplifying to its minimum expression, we have:

Amount of honey by jar = 7 cups / 14 jar

Amount of honey by jar = 1 cup / 2 jar

Amount of honey by jar = 1/2 cup by jar

Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.

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We need to know simple division to solve the problem. The maximum number of men in the lift is 8 and the maximum number of women in the lift is 10.

We will be using the simple concept of division to find the number of people that the lift can carry. The average weight of a man is given to be 84 kg and the average weight of  a woman is given to be 70kg. The lift can carry 720 kg, we will find separately the number of men and women that can be carried in the lift. Inorder to find the maximum number of men we divide the total weight the lift can carry by the average weight of a man, we will similarly calculate the maximum number of women.

number of men= 720/84=8.57 which means that the number of men is 8

number of women =720/70=10.28 which means that number of women is 10.

Therefore the lift can carry at most 8 men and at most 10 women.

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The following cases are described:

Algebraically speaking, rational functions are expressions of the form f(x) = p(x) / q(x), such that q(x) ≠ 0, where p(x) is the numerator and q(x) is the denominator. Rational functions can be found by using the defintion of division between two functions:

(f / g) (x) = f(x) / g(x)

And the domain of (f / g) (x) is every value of x such that g(x) ≠ 0. Now we proceed to find all the required information for each case:

Case 1 - f(x) = x² - 3 · x - 18, g(x) = x + 3

Rule: (f / g) (x) = (x² - 3 · x - 18) / (x + 3)

         (f / g) (x) = [(x - 6) · (x + 3)] / (x + 3)

         (f / g) (x) = x - 6

Domain: Since the resulting expression is a linear function, then the domain of (f / g) (x) is all the real numbers.

Case 2 - f(x) = x - 3, g(x) = x² - x - 6

Rule: (f / g) (x) = (x - 3) / (x² - x - 6)

         (f / g) (x) = (x - 3) / [(x - 3) · (x + 2)]

         (f / g) (x) = 1 / (x + 2)

Domain: The domain of the rational function is any real number except x = - 2.

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Answer: -2 and -3

Step-by-step explanation:

Answer: If you want the result as a fraction it should be 3.7/5. but if you want a whole number it's 4.2. if you want a mixed number its 4 1/5

Step-by-step explanation:

Answer:

2k + 5

Step-by-step explanation:

Since this is a subtraction problem, you need to change it to an addition problem. When you do this, you also need to change the sign of each term in the second set of parentheses.

(-4k - 1) - (-6k - 6)

(-4k - 1) + (6k + 6)

Remove the parentheses and add like terms.

-4k - 1 + 6k + 6

2k +5