Triangle ABC is dilated. The image is A'B'C'

Find the value of x.

the given proportional relationship y=0.5x with proportional constant is 1/2.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.

So the equation will be y = kx

or y = 0.5(x)

Here proportional constant is 1/2 or 0.5.

For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.

Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.

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Answer:

distance between two cities will be 9 000 000 km

Answer:

Step-by-step explanation:Scale of a map is 1:3000000 i.e, 1cm on map =30km so distance of towns on map =3.5cm Actual distance = 3.5×30=105km

Answer:

$72 and $74

Step-by-step explanation:

Let the cheaper ball cost x.

x + x + 2 = 146

2x = 144

x = 72

x + 2 = 74

Answer: $72 and $74

The number of tropical fish that this fish tank hold is 5  fish

Given that,

The volume of the fish tank determines how many tropical fish can be kept in an aquarium. The fish tank's inside measures 22 cm, 42 cm, and 50 cm. Water volume needed per fish is 10,000 cubic centimeters.

Dimensions of fish tank :

Length = 22 cm

Width = 42 cm

Height = 50 cm

Volume of fish tank = length x breadth x height

                                = 22 * 42 * 50

                                = 46200 cm³

Each fish requires​ 10,000 cubic centimeters of water.

So, tank will hold number of fishes = 46200 / 10000

                                                          = 4.62

Hence tank will hold 5 fish.

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The values that make v ≥ 1 inequality true are 2, 3, 4, 5....

What is inequality in mathematics?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

The inequality is given as:

v ≥ -1

The values of c for which the given inequality → v ≥ -1 is true will belong to the set (say A) -

A = [-1, - ∞)

Therefore, we have to select all numbers which fall in this set. The numbers are

-1, 0, 1, 2, 3,....

Rewrite properly as:

v ≥ 1

The above means that the true values of v are values greater than 1.

Hence, the values that make v  ≥ 1 inequality true are -1, 0, 1 , 2, 3, 4, 5....

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Answer: Second graph from top.

Step-by-step explanation:

     Slope is written in change in y over change in x. In other words, "rise over run" so the slope of 4/5 means rise 4 units and move 5 units right. The graph that meets this requirement is the second graph, as shown in the attachment.

(C) SSA is not a requirement for triangle congruence.

Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size.

We can move, flip, twist, and turn these triangles to produce the same effect.

When relocated, they are parallel to one another.

Two triangles are congruent if they satisfy all five conditions for congruence.

Right angle-hypotenuse-side (RHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SSS) are the four terms (RHS).

We know that SSA is not the criteria for the congruence of the triangles.

Therefore, (C) SSA is not a requirement for triangle congruence.

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The expected number of defective shirts produced by the factory on Friday is of:

42 shirts.

The expected number of defective shirts produced by the factory on Friday is obtained as the multiplication of the sample proportion by the total number of shirts produced on Friday.

The manager of a clothing factory checks a random sample 500 shirts for defects he finds that 8 are defective, hence the sample proportion is given as follows:

p = 8/500 = 0.016.

The factory produces 2625 shirts on Friday, hence the expected number of defective shirts is given as follows:

E(X) = 0.016 x 2625 = 42 shirts.

The problem is incomplete and could not be found on any search engine, hence we suppose that it asks for the expected number of defective shirts produced by the factory on Friday.

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Answer:

10 times.

Step-by-step explanation:

because 10 x 3 = 30.

If the 3 objects are selected from 30. Then the number of combinations will be 4,060.

A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.

A won and a punctuation mark are used to represent the combination of all positive integers that are less than or equal to the provided positive integer.

The 3 objects are selected from 30. Then the combination is given as,

⇒ ³⁰C₃

⇒ [30!][(30 - 3)! x 3!]

Simplify the expression, then we have

⇒ [30 x 29 x 28 x 27!] / [(27! x 3 x 2 x 1)]

⇒ (30 x 29 x 28) / (3 x 2 x 1)

⇒ 24,360 / 6

⇒ 4,060

If the 3 objects are selected from 30. Then the number of combinations will be 4,060.

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Hugo will buy car B.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Car A travels 702 miles on 12 gallons of gasoline.

And, Car B travels 873 miles on 15 gallons of gasoline.

Now,

Since, Car A travels 702 miles on 12 gallons of gasoline.

And, Car B travels 873 miles on 15 gallons of gasoline.

Hence, The distance of car A for travels in per gasoline = 702 / 12

                                                                                      = 58.5 miles

And, The distance of car B for travels in per gasoline = 873 / 15

                                                                                  = 56.2 miles

Since, Hugo wants to buy a car with lower fuel consumption.

Clearly, The car B consume lower fuel.

Hence, Hugo will buy car B.

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It is possible for humans to contract bird flu viruses. There have been outbreaks of two strains, H5N1 and H7N9, that have affected some populations in Asia, Africa, the Pacific, the Middle East, and portions of Europe. Other unusual forms of avian flu that have affected humans in the US have also been reported. The majority of humans who contract bird flu have had direct contact with diseased birds or surfaces that have been contaminated by the saliva, mucus, or droppings of infected birds.

Through their saliva, mucus, and excrement, infected birds spread the bird flu virus. Inhaling the virus or getting it in one's eyes, nose, or mouth can result in human infection with bird flu viruses.

After contacting birds or surfaces that could be contaminated with their saliva, mucus, or feces, whether they are wild or domesticated, avoid touching your mouth, nose, or eyes.

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The coordinate of the reflection about the line y = 9 is thus (7, 4)

Reflection is a transformation in which an object is flipped over a line.

We know that to reflect W(-7, 4) over the line y = 9, the distance of the point W and its reflection from the line y = 9 must be the same.

The distance of point W(-7, 4) from the line y = 9 is d = 9 - (- 7) = 9 + 7 = 15

So, the x - coordinate of the reflection from the line y = 9 is x = 15 - 9 = 7

Since the y - coordinate of the point W, does not change, the coordinate of the reflection about the line y = 9 is thus (7, 4)

So,  the coordinate of the reflection about the line y = 9 is thus (7, 4)

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Answer:

Step-by-step explanation:

Assuming that you mean x² + 5x + 6

the factors are (x + 2) and (x + 3).

Answer:

Hi

Step-by-step explanation:

I am just reply to see if i really understand that problem

Let's assume s the present age of the son, and f the present age of the father.

The age of the son After 10 years is equal to the age of the father before 20 years:

s+10=f+10-20

f=3s

=> s+10=f-10

=> s+10=3s-10

=> 2s=20

=> s=10 and  f=30

Answer: m = 3

Step-by-step explanation:

Let pick 2 points ( 0,3) ( 2,9)

Y increased by 6, x increase by 2

Slope is 6/2 = 3

Translation is one of the four types of mathematical transformations that may be applied to a function graph.

(x, y) = (x + a, y + b)

In mathematics, a translation is the up, down, left, or right movement of a form. Because the translated shapes appear to be exactly the same size as the original ones, they are consistent with one another. Just one or more routes have been altered. There is no change in the form because it is just being moved from one location to another.

When the shape is moved towards the left by k units, then replace x with x - k.

When the shape is moved towards the right by k units, then replace x with x + k.

When the shape is moved up by k units, then replace y with y + k.

When the shape is moved down by k units, then replace y with y - k.

Example: What are the new coordinates when the translation (x, y) → (x - 2, y + 3) is applied to the point (2, 5).

Solution:

The coordinates of old point (preimage) are (x, y) = (2, 5). Now, applying the given translation to this point,

x - 2 = 2 - 2 = 0

y + 3 = 5 + 3 = 8

Thus, the coordinates of the translated point (image) are (0, 8).

This was the example of translation.

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The angles GBD, GBD and G measures 90 , 90, 52 degree respectively.

GB is the diameter given.

AD is the tangent given.

The tangent makes 90 degree angle with diameter.

hence the angle GBD will be : 90°

Similarly, GBA will also be 90°

The angle GBA is given as 38°

Hence the angle G will be = 90 - 38 =52

All points in a plane that are at a specific distance from a specific point, the centre, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant. The radius of a circle is the separation between any point on the circle and its centre.

The radius must typically be a positive integer. A degenerate situation is a circle with radius equal to zero (one point). Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.

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the sample mean is the point estimator of μ

Sample Mean:

The Sample Mean is the average mathematical value of a sample’s values. It is a statistical indicator used to analyze various variables over time. Statisticians and researchers obtain it by dividing the total sum of values of all data fragments and then dividing it by the total number of data sets.

Point Estimate:

p=x/

p is the point estimate for the population proportion, x is the number of

successes, n is the sample size

p= + /2

for the population proportion

x= + /2

for the population mean

= − /2

  is the margin of error

the sample mean is the point estimator of μ

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x =3 and y = 4 , these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.

What is perpendicular in triangle?

The sides of a triangle are divided into two equal portions by the perpendicular, which is parallel to the sides drawn from the opposing vertices.

The circumcenter of a triangle is the location where the three perpendicular bisectors of the triangle meet.

A(0, 0), B(0, 8), C(6, 0)

Circumcenter , P(x,y)

AP = BP = CP

AP² = BP²

(x - 0 )² + ( y - 8 )² = ( x- 0)² + ( y - 0 )²

x² + y² + 64 - 16y = x² + y²

 64 - 16y = 0

 16y = 64

     y = 4

BP = CP

BP² = CP²

(x - 0)² + ( y- 0 )² = ( x- 6)² + ( y - 0)²

x² + y² = x² 36 - 12x + y²

       36 - 12x = 0

         12x = 36

           x = 3

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We are 67% confident that the proportion of students who are tell me that they did their homework over the weekend.0.087 with a margin of error of 0.0175

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.

Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

87/1000 = 0.087

We have a 67% confidence level that the percentage of left-handed students is 0.087, with a 0.0175 margin of error.

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The sample mean is 5.0833 and the standard deviation is 3.476 and the confidence interval is (2.87, 7.29).

In the given question, a random sample of 12 employees was taken, and the number of days each was absent for sickness was recorded (for a 1-year period).

Using these data to create a 95% confidence interval for the population mean days absent for sickness

2   5   3   7   10   0   6   8   5   11   3   1

a) We have to find the sample mean and the standard deviation (round to two decimal places).

The sample mean;

X = 2+5+3+7+10+0+6+8+5+11+3+1/12

X = 61/12

X = 5.0833

Now the standard deviation

SD = √[{x(1)-X)^2+(x(2)-X)^2…………….(x(12)-X)^2}/N]

After solving using that formula;

SD = 3.476

b) 95% confidence in interval for the population mean days absent for sickness.

Lower Bound = X - t(α/2)*s/√n

Upper Bound = X + t(α /2)*s/√n

where

α /2 = (1 - confidence level)/2 = 0.025

X = sample mean = 5.083333333

t(α/2) = critical t for the confidence interval = 2.20098516

s = sample standard deviation = 3.476108936

n = sample size = 12

df = n - 1 = 11

Thus,

Lower bound = 2.874719086

Upper bound = 7.291947581

Thus, the confidence interval is (2.87, 7.29).

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The right question is:

How healthy are the employees at direct marketing industry? A random sample of 12 employees was taken, and the number of days each was absent for sickness was recorded (for a 1-year period). Use these data to create a 95% confidence interval for the population mean days absent for sickness.

2   5   3   7   10   0   6   8   5   11   3   1

a) Find the sample mean and the standard deviation (round to two decimal places)

b) 95% confidence in interval for the population mean days absent for sickness.

Answer: 7

Step-by-step explanation: You would multiply 70 by 10 to get 700, then divide it by 100 to get 7. So, it would be 7 dollars.

Answer: 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct option is A 6

×

4 = 24

Closure property of multiplication for whole numbers states that product of two whole numbers a and b is always a whole number c.

Only options B and C have a multiplication sign. Of them, option B is of the form a

×

b = b

×

a

So 6

×

4 = 24 is an example for closure property of multiplication.

On solving the provided question, An expression that finds the sum of x and y => X + Y

a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples -  2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.

An expression that finds the sum of x and y -

=> X + Y

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4/7

4 ÷ 7 = 4/7

fraction means division

Piecewise linear functions, f(x) as common core algebra, Evaluate each of the following :

(1) f(-3) = 12

(2) f(4) = 2

(3) f(0)= 8

(4) f(3)= 8

A piecewise linear function is a function defined on the interval [xₘᵢₙ ,xₘₐₓ]. A piecewise linear function is a function that consists of straight line segments. This is a piecewise function whose pieces are affine (linear) functions. Graphs of piecewise linear functions consist of line segments and rays.

We have given that,

f(x) = 5x - 3 ; x< -2

= x+8 ; -2≤x< 3

= 1/3(x) + 7 ; x ≥3

we see here that , f(x) is a piecewise linear function defined on interval [-2,3).

Now, we solve the following

(1) f(-3) , here x = -3< -2 i.e we take f(x) =5 x -3

=> f(-3) = 15 - 3 = 12

(2) f(4) , x= 4 >3 so, f(x) = 1/3(x) + 7

=> f(4) = 1/3(4) + 7 = 14/7 = 2

(3) f(3) , x = 3 so, f(x) = 1/3(x) + 7

=> f(3) = 1/3(3) + 7 = 8

(4) f(0) , x = 0 or -2 < x < 3 so, f(x) = x+8

=> f(0) = 0+8 = 8

Hence, we evaluate the given functions.

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Complete question:

piecewise linear functions common core algebra 2 homework answers

5x - 3 x&lt;-2 1. For f (x) = x+8 -25x&lt;3 answer the following questions. -x+7 x23 (a) Evaluate each of the following by carefully applying the correct formula: (1) f ( -3 ) (ii) f (4) (iii ) f ( 3 ) (iv ) f (0 )

y = 25x + 263 this equation represents how much money she will have, including her saving.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

The saved amount of $263 by Jenna,

and also she earns $25 per day

if x represents the number of days she works,

and let's take y as the total amount she will have.

Then the equation becomes:
y = 25x + 263

Hence, y = 25x + 263 this equation represents how much money she will have, including her saving.

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The inverse of a function is f^-1(x) = 3(x + 17)/2 and f^-1(x) = x + 10

What is function ?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable).

An example of a rule is a function, which produces one output for a single input. Alex Federspiel is the picture's author. Y=X2 is an illustration of this. You only get one output for y if you enter anything for x. The fact that x is the input value leads us to say that y is a function of x.

Functions can be roughly categorized into four sorts. based on the element Numerous to one function, onto function, one to one and onto function, into function.

1.f(x) = 2x/3 - 17

Finding the inverse

y = f(x)

  = 2x / 3 - 17

Exchange the variables, x for y and y for x

x = 2y / 3 - 17

Isolate the variable y

Adds 17 both sides

x + 17 = 2y / 3

Multiply by 3 both sides

3(x+17) = 2y

Divide by 2 both sides

y = 3(x + 17)/2

let f^-1(x) = y

f^-1(x) = 3(x + 17)/2

2. f(x) = x - 10

Finding the inverse

y = f(x)

  = x - 10

Exchange the variables, x for y and y for x

x = y - 10

Isolate the variable y

Adds 10 both sides

y = x + 10

Multiply by 3 both sides

3(x+17) = 2y

let f^-1(x) = y

f^-1(x) = x + 10

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