A sequence of transformation is described below : A dilation centered at point P with a scale factor of 1/2 A reflection over the line x=3 select the statement that describes the resulting image after the given transformations.

Answer:20 m/s

Step-by-step explanation:

Answer:

20 m/s

Step-by-step explanation:

700 ÷ 35 = 20 m/s

The length of the side JH in the triangle ΔHIJ is 97.9.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are H, I, and J. The triangles ΔEFG and ΔHIJ are similar to each other. The lengths of the sides FG, GE, and IJ are 12, 25, and 47, respectively. We need to find the length of the side, JH. The figure of the triangles is attached below.

Let the length of the side JH in the triangle ΔHIJ be represented by the variable "x". The side IJ is proportional to the side FG. Let the constant of proportionality be "k".

IJ ∝ FG

IJ = k*FG

k = IJ/FG

k = 47/12

The side JH is proportional to the side GE.

JH = k*GE

x = (47/12)*25

x = 97.9

Hence, the length of the side JH is 97.9 units.

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Answer: The question requires an understanding of how to compose and decompose multi digit numbers. The expanded form 70,000 + 4,000 + 70 + 2 corresponds to the number 74,072, which is the population of Davidson County.

(sorry if i'm wrong)

:(

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

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The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer: 15

Step-by-step explanation:

we can  say 5x+55 and 2x+100 are corresponding angles and they are equal. so, 5x+55=2x+100

3x=45

x=15

Answer:

x=w/1+yz

Step-by-step explanation:

Hope this helped!

The polynomial expression, when simplified will be equal to 2x³ - 6x² + 12x + 1. This shows that David did not make any mistake.

In order to correctly simplify a polynomial expression correctly, ensure like terms are combined together. For example, 3x and 2x can be combined together because they are like terms. 3x and 2x² are not like terms and therefore cannot be combined together.

Given the polynomial expression:

(4 - x²)(3x + 2) + (5x³ - 4x² - 7)

Apply the distribution property

[4(3x + 2) - x²(3x + 2)] + (5x³ - 4x² - 7)

(12x + 8 - 3x³ - 2x²) + (5x³ - 4x² - 7) [this is step 2]

Combine like terms:

(-3x³ + 5x³) + (-2x² - 4x²) + (12x) + (8 - 7)

2x³ - 6x² + 12x + 1

This is the same as what David got, therefore, he didn't make any mistake.

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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The price of of 1 pound of almond is given as  2.2/0.65

A line is defined as the shortest distance between two points. Given the coordinate (0.65, 2.2)

This shows that 0.65 pound of almond costs $2.2. For the cost of one pounds of almond;

Unit price = 2.2/0.65

Unit price = $3.38

This shows that the price of of 1 pound of almond is given as  2.2/0.65

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Answer:

Allison is 7 years now, Jenny is 49 yeas now. Check.  13y = 13*7 = 91 will happen in 91-49 = 42 years. Jenny will be 7 + 42 = 49 years old at that time.

Step-by-step explanation:

The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

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The value of the fraction, negative 5 and 1 over 7 ÷ negative 7 and 3 over 4 is 144/217

A fraction can be described as the part of a whole element or value.

The different types of fractions are;

Examples of proper fractions; 2/4, 5/6, 7/9

Examples of improper fractions; 4/2, 3/2, 6/5

Examples of mixed fractions; 2 1/4, 4 6/7, 8 1/2

Examples of simple fractions; 1/ 3, 3/4, 1/2

Now, from the information given, we have;

Convert into improper fractions

-36/7 ÷ -31/4

take inverse of the divisor and multiply

-36/ 7 × 4/-31

-144/-217

144/217

Hence, the value is 144/217

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The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

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The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27

Answer:

25 presents.

Step-by-step explanation:

First subtract 2.7(4) from 30.

30 - 2.7(4) = 19.2 meters

Now, convert 19.2 into centimeters.

There's 100cm in 1m, so 19.2 meters can be found by doing:

19.2 x 100 = 1920 cm.

Now, do 1920 divided by 75:

1920/75 = 25.6

Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.

Answer:

Step-by-step explanation:

Speed upstream is reduced:

Time to travel 20 miles:

Answer:

20/9 hours

Step-by-step explanation:

Note: I'm assuming 'upstream' means against the current.

If the boat flows against the current, it's speed is 13 - 4 = 9 mph.

\(\frac{20m}{9mph} =\frac{20}{9} hours\)

That means our answer is 20/9 hours.

If it is travelling with the current, its speed is 13 + 4 = 17 mph.

Therefore, 20/17 would be our answer if that were the case

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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Answer:

the cheeseburgers were purchased by micky

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

The solution to the quadratic equation 3x² + 5x + 4 = 0 is -5 ±√23/6

Using the quadratic formula, we have the general equation;

ax + bx + c = 0

The general formula is given as;

= (-b±√(b²-4ac))/(2a)

Now, substitute the values, we get;

= -(5) ± √(-5)² - 4 × 3 × 4)/2(3)

find the square value and multiply

= -5± √25- 48/6

Then, we have;

= -5 ±√23/6

Hence, the solutions is -5 ±√23/6

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Answer:

40

Step-by-step explanation:

Hope that helped have a nice day!

Answer: 10

Step-by-step explanation: it is a 5+ 5 =

Answer: 0.628

Step-by-step explanation:

Probability of U.S. smartphone owners have made an effort to limit their phone use in the past : p = 0.4702

Sample size : n= 54

Mean : \(\mu =(54)(0.4702)=25.39\)

Standard deviation:

\(\sigma=\sqrt{(54)(0.4702)}=\sqrt{25.39}\\\\\approx5.039\)

The probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past will be :

\(P(22\leq x\leq29)=P(21<x<30)=P(\dfrac{21-25.39}{5.039}<\dfrac{X-\mu}{\sigma}<\dfrac{30-25.39}{5.039})\\\\=P(-0.8712<z<0.914864)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(z<0.914864)-P(z<-0.8712)\\\\=P(z<0.914864)-(1-P(z<0.8712))\\\\=0.8198685-(1-0.8081775)\ \ \ [\text{ By p-value table}]\\\\=0.628046\)

Hence, the required probability = 0.628

Step-by-step explanation:

There are 720 ways to arrange the letters in the word GRIFFIN.

To see why, we can use the formula for permutations of a set with n elements, which is n! (n factorial).

The word GRIFFIN has 7 letters, so we have:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040

However, since the letters in GRIFFIN are not all unique (there are 2 Fs and 2 Is), we need to divide by the number of ways the repeated letters can be arranged. This is the product of their factorials:

2! x 2! = 4

So the final answer is:

7! / (2! x 2!) = 5040 / 4 = 720

Examples of different arrangements of the letters in GRIFFIN are:

- FIGRINF

- IRGIFNF

- NGRIFFI

- IFRIGNF

- GFRINIF

- NRIGIFF

- FFIRIGN

And so on, for a total of 720 possible arrangements.

Does this answer your question.

Answer: D

Step-by-step explanation:

Hope it helps

The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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Answer:

30 cm

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 12

c = 5

Work:

A = 0.5bh

A = 0.5(12)(5)

A = 6(5)

A = 30