XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4

Answer:

\(\frac{-4}{3}\)

Step-by-step explanation:

a rational number is expressed as

\(\frac{a}{b}\) where a and b are integers , then

- 1 \(\frac{1}{3}\) = \(\frac{-4}{3}\)

The number of variable terms in the given expression are 6g and 5h.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

6g − 11 + 5h

The number of variable terms in the given expression are -

6g and 5h.

Therefore, the number of variable terms in the given expression are 6g and 5h.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ1

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0:µ ≥ 9

For the alternative hypothesis,

Ha:µ < 9

This is a left tailed test.

b) Since the population standard deviation is not given, the distribution is a student's t.

Since n = 85,

Degrees of freedom, df = n - 1 = 85 - 1 = 84

t = (x - µ)/(s/√n)

Where

x = sample mean = 7.67

µ = population mean = 9

s = samples standard deviation = 6.38

t = (7.67 - 9)/(6.38/√85) = - 1.92

We would determine the p value using the t test calculator. It becomes

p = 0.029

c) α = 0.01

Since α, 0.01 < the p value, 0.029, then we would fail to reject the null hypothesis. Therefore, At a 1% level of significance, there was no significant evidence that the the mean tenure for a CEO is shorter than nine years.

Answer:

calculator gave me 6.5732

Step-by-step explanation:

Answer:

x = 3 and y = 7

Step-by-step explanation:

Given that,

8x+3y=45 .......(1)

2x+3y=27 ........(2)

We need to solve equations (1) and (2)

Multiply equation (2) by 4.

8x+12y=108 .....(3)

Subtract equation (1) from (3).

8x+12y-(8x+3y)=108-45

12y-3y = 63

9y = 63

y = 7

Put the value of y in equation (1).

2x+3(7)=27

2x+21 = 27

2x = 27-21

2x = 6

x = 3

So, the values of x and y are 3 and 7 respectively.

If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

Read more on dilation here: https://brainly.com/question/11812796

#SPJ1

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

Find out more on distributions at https://brainly.com/question/13244416

#SPJ1

Answer:

3.15g

Step-by-step explanation:

2.2 g of the​ substance, to the nearest tenth of a​ gram, will be present after 9 ​yr.

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

Given, 10g of a radioactive substance is present initially and 4 yr later only 5.0g​ remain.

∴ y₄ = y₀.e^(kt).

5 = 10.e^(4k).

e^(4k) = 1/2.

lne^(4k) = ln(1/2).

4k = - 0.69.

k = - 0.69/4.

k = - 0.17.

At this rate after 9 years later the amount of substance left will be,

y₉ = 10.e^(-0.17×9).

y₉ = 10.e^(-1.53).

y₉ = 10/e^(1.53).

y₉ = 10/4.62.

y₉ = 2.16 g.

learn more about exponential decay here :

https://brainly.com/question/2193799

#SPJ2

Based on these considerations, it is necessary to assess the specific layout plan and the surrounding environment to determine whether the copier is suitably placed in room (3) at Hills Secondary.

To determine whether the copier is suitably placed in room (3) at Hills Secondary, we need to consider factors such as accessibility, noise, and convenience.

Firstly, we need to evaluate the accessibility of the copier in room (3). Is it easily accessible for all students and staff who need to use it? If the copier is located in a central position within the school or close to high-traffic areas, it would be considered suitable.

However, if it is tucked away in a corner or not easily visible, it may cause inconvenience and hinder access for users.

Secondly, we should consider noise levels. Copiers can be noisy machines, and if room (3) is located near classrooms or areas where students require a quiet environment, it may not be an ideal placement. Noise disturbances could disrupt learning activities and cause distractions.

Lastly, convenience plays an important role. Room (3) should be spacious enough to accommodate the copier and allow users to operate it comfortably. If the room is cramped or lacks proper ventilation, it may cause inconvenience for users and impact the overall workflow.

For more such questions on Environment:

https://brainly.com/question/23611149

#SPJ8

Answer:

betwen year 5 and 6

Step-by-step explanation:

th prize will drop betwen 5 and 6 years.

i think its the correct answer

The value that will be in the blank would be = 165

The percentage that will like to run that prefer summer = 60%

On the given table, the total amount of individuals in each column should be the same.

Therefore, for the bike column = 231 + 87 = 318

Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.

To find the percentage that will like to run that prefers summer, the following is carried out;

The number of people that will like to run = 231

The number of people that will like to bike = 153

Total = 153+231 = 384

Therefore percent = 231/384×100/1

= 23100/384

= 60%

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ1

Answer:

So am I lol btw I think it’s C

Step-by-step explanation:

Answer:

63.000

Step-by-step explanation:

tell me if you need something pls branliest

According to distributive property

\({{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 6.7 \: (8x \: + \: 9)\)

\({{ \large{ \blue{ \rm{{➥}}}}}} \rm \large \: \: 53.6x \: + \: 60.3\)

Hence , Option D is the correct answer.

Answer:20

Step-by-step explanation:

Answer:

a. y = 36x, b. $252

Step-by-step explanation:

Answer:

a. y = 36x, b. $252

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

Read more about trigonometric ratios here: https://brainly.com/question/3457795

#SPJ1

Answer:

\(3-4i\)

Step-by-step explanation:

The x-axis represents \(x\) and \(x\) is 3. The y-axis represents \(iy\) and \(y\) is -4 so \(iy\) is -4i.

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The complex number that is represented by the graph is 3-4i.

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = 1; every complex number may be represented as a + bi, where a and b are real numbers.

The complex numbers are represented on the graph where x represents the real number marked across the horizontal axis.

The y represents the imaginary part of the number and is marked across the vertical axis.

Hence, the complex number that is represented by the graph is 3-4i.

Learn more about Complex Number:

https://brainly.com/question/28007020

#SPJ2

The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

More can be learned about functions at https://brainly.com/question/10687170

#SPJ1

The utilization rate of friends' study time is 33%

In this question, we need to find the utilization rate for friends' study time.

They can complete a maximum of 60 HW problems per hour. In the last hour, they were a little distracted but managed to complete 20 HW problems.

We know that the formula for the utilization rate:

Utilization % = Actual Number of Hours Worked / the Total Available Hours.

So the utilization rate would be,

r = 20/60

r = 0.33

r = 0.33 × 100

r = 33%

Therefore,  the utilization rate of friends' study time is 33%

Learn more about the utilization rate here:

https://brainly.com/question/19162805

#SPJ1

The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.

The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.

The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).

Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.

To learn more about function here:

https://brainly.com/question/12431044

#SPJ1

(A) only 2 is the line of symmetry of the given figure.

A form or item is divided into two equal and symmetrical portions by a line of symmetry.

Because it divides the figure symmetrically and the separated portions resemble mirror images of one another, we also refer to this line as the axis of symmetry or the mirror line.

The four lines of symmetry in a square are lines across the opposing vertices and the midpoints of the opposing sides.

Together, these four lines of symmetry make up a square.

Consequently, a square has two diagonal, one horizontal, and one vertical line of symmetry.

So, according to the given figure we can easily observe and tell that line 2 is the only one that divides the diagram into 2 identical parts.

Therefore, (A) only 2 is the line of symmetry of the given figure.

Know more about lines of symmetry here:

https://brainly.com/question/109377

#SPJ1

The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

From the question, we are to determine how much water is left in the barrel

From the given information,

"The barrel is filled with 18 gallons of water"

and

"Ryan used 9.7 gallons to water his garden in June"

After this time,

The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons

= 8.3 gallons

Then,

3 and one eighth gallons in July

3 and one eighth = 3 1/8 = 3.125 gallons

The quantity of water that would be left is 8.3 gallons - 3.125 gallons

= 5.175 gallons

Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

Learn more on Calculating Quantity here: https://brainly.com/question/25961625

#SPJ1

Answer:

b

Step-by-step explanation:

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard as a function of x is (150/x - 10)(x - 4).

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides.

x = width of the billboard designer

Total Area including margin = 150 ft^2

Height of the billboard = Area/width

Height of the billboard = 150/x

Before the height of the billboard = (150/x - 5 × 2)

Before the height of the billboard = (150/x - 10) ft

The width of the printed region billboard = (x - 2 × 2)

The width of the printed region billboard = (x - 4) ft

The area of the printed region of the billboard = The width of the printed region billboard × The height of the printed region billboard

The area of the printed region of the billboard = (150/x - 10)(x - 4)

To learn more about area of rectangle link is here

brainly.com/question/20693059

#SPJ4

The complete question is:

A billboard designer has decided that a sign should have 5-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 150 ft^2 (including the margins).

If x denotes the width (in feet) of the billboard, find a function in the variable x giving the area of the printed region of the billboard.

Area as a function of x =

Given:

The number of red marbles in the bag = 4 marbels.

The number of blur marbles in the bag = 6 marbles.

We pick a marble and then pick a second marble without returning the marble to the bag.

Aim:

We need to find the probability of getting both marbles are red.

Explanation:

The number of marble in the bag = the number of red marble + the number of blue marbles.

The number of marble in the bag = 4+6 =10 marbles.

The number of red marbles in the bag =4.

The probability of getting red marbles is P(R).

After picking one marble from the bag, Now the number of marble in the bag = 10-1 =9 marbles.

The picked marble is red.

The number of red marbles in the bag =3.

The probability of getting red marble a second time

The probability of getting both marbles are red is

Final answer:

Probability = 1/5.

Answer:

488

Step-by-step explanation:

You divide 28453 by 58.3053278689 and get 488.

Answer:

Pythagoras theorem:

√(6²+3²)

√45

=6.708 ft

Answer:

number is 8

Step-by-step explanation:

let the number be n then the product of 3 and number is 3n , so

3n + 7 = n + 23 ( subtract n from both sides )

2n + 7 = 23 ( subtract 7 from both sides )

2n = 16 ( divide both sides by 2 )

n = 8

That is the required number is 8