Triangle TUV, with coordinates T (3, 3), U(3, -2), and V(-7,3), undergoes a dilation about the origin to produce triangle
WXY. If triangle W XY has coordinates W(6,6), X(6,-4), and Y(-14,6), what is the scale factor?

Answer:

The repetition intensifies the speaker's sense of urgency.

Step-by-step explanation:

Answer:

D The repetition intensifies the speaker’s sense of urgency.

Step-by-step explanation:

The repetition intensifies the speaker’s sense of urgency.

Answer:

x = -1/3

Step-by-step explanation:

1. 8-x-10 = 2x-1

2. 2x-1 = -x-2

3. 3x-1 = -2

4. 3x = -1

5. x = -1/3

Answer:

26.22 foot

Step-by-step explanation:

The relation between foot and meter is given by :

1 foot = 0.305 meter

We firstly find value of 1 meter in terms of foot.

So,

\(1\ m=\dfrac{1}{0.305 }\ \text{foot}\)

To find no of foot in 8 meters, multiply \(\dfrac{1}{0.305 }\) by 8 i.e.

\(8\ m=\dfrac{1}{0.305 }\times 8\ m\\\\=26.22\ \text{foot}\)

So, there are 26.22 foot in 8 meters.

The multiplication rule of indices is showcased in the picture where the power of multiplied values with the same base are added.

In indices, when two or more values having the same base are multiplied, the value of it's power are added to give a singular value with the same base and the power being the sum of the power values.

\( {a }^{m } \times {a}^{n} = {a}^{m + n} \)

The multiplication rule of indices is an established rule and cannot be disproved once all conditions are met.

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The time between buses is 10 minutes and the bus waits at the station for 3 minutes, so the time between the departure of one bus and the departure of the next bus is 10 + 3 = 13 minutes.

Since you arrive at a random time, the time you have to wait for the next bus can be any number from 0 to 13 minutes, with each value between 0 and 13 being equally likely.

The probability that you will have to wait more than 6 minutes to board a bus is the probability that you arrive at the station between 0 and 7 minutes after a bus has left.

This is because if you arrive at the station more than 7 minutes after a bus has left, you will have to wait less than 6 minutes for the next bus to arrival time.

The probability that you arrive at the station between 0 and 7 minutes after a bus has left is 7/13, or approximately 0.538.

Therefore, the probability that you will have to wait more than 6 minutes to board a bus is approximately 0.462 (1 - 0.538).

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well actually, your answer is -2

not positive 2

you have to take the 9, and subtract it from the other side (the -15), giving you -24

then you divide -24 by 12, giving you x=-2

this is true because when you plug it back in, you get 12 x -2 = -24

-24 + 9 = -15

Answer:

hello im sorry im in middle school

Step-by-step explanation:

i cant answere this

Work Shown:

\(\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}\\\\\sin(\theta) = \tan(\theta)*\cos(\theta)\\\\\sin(\theta) = \frac{15}{8}*\left(-\frac{8}{17}\right)\\\\\sin(\theta) = \boldsymbol{-\frac{15}{17}}\)

Side note: theta is in quadrant III since sin(theta) < 0 and cos(theta) < 0.

We have to find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1.

To find the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1, we have to integrate x^(1/2) and x^(1/3) with respect to x. That is, Area = ∫0¹ [x^(1/2) - x^(1/3)] dx= [2/3 x^(3/2) - 3/4 x^(4/3)] from 0 to 1= [2/3 (1)^(3/2) - 3/4 (1)^(4/3)] - [2/3 (0)^(3/2) - 3/4 (0)^(4/3)]= 0.2857 square units

Therefore, the area of the region between y=x^(1/2) and y=x^(1/3) for 0≤x≤1 is 0.2857 square units. Note: The question  but the answer has been provided in the format requested.

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Functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.

The cοncentratiοn οf the drug in the blοοdstream at t = 8 hοurs is 24 mg/L. Frοm t= 0 tο t= 2 hr, the cοncentratiοn is increasing and after 2 hrs the cοncentratiοn is decreasing. The level οf the drug in the blοοdstream reaches its maximum value at t=2 hrs , and  the cοncentratiοn in the blοοdstream at that time is 25.5 mg/L.

\After the drug reaches its maximum level in the blοοdstream, 8 additiοnal hοurs are required fοr the level tο drοp    tο 16 mg/L. As at t= 10 hrs, cοncentratiοn is 16 mg/L and maximum cοncentratiοn is at t=2hrs. Sο, additiοnal hοurs= 10-2=8 hrs

P(t) = 25.5( 1-16.2%)ˣ

= 25.5((100 - 16.2)/100)ˣ

= 25.5(83.8/100)ˣ

P(t) = 25.5(0.838)ˣ

Hence, functiοn mοdels the relatiοnship between the cοncentratiοn οf the medicatiοn in milligrams is P(t) = 25.5(0.838)ˣ and number οf hοurs since the medicatiοn was taken, t is 2 hοurs.

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Complete question:

9. A patient has taken 25.5 mg of a prescribed medication. The concentration of the medication in the body decreases at a rate of 16.2% per hour.

Which function models the relationship between the concentration of the medication in milligrams, p(t), and the number of hours since the medication was taken, t?

Answer:

54cm, which is one side length

Step-by-step explanation:

The sum of all of the sides are 6, it's a regular hexagon the perimemter is just six times one side 36cm

Hope It Helps!

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The number of files sorted in the first one and a half hours of sorting is 945.

Here, we are given that a group of clerks must sort 1775 files.

Each clerk sorts at a constant rate of 30 files per hour.

Let the number of clerks who start working initially be x.

Thus, they will sort 30x files in the first hour.

After the first hour, let the number of clerks who stop working be a

Thus, the number of files sorted in the second hour will be 30(x - a)

Similarly, the number of files sorted in the third hour will be 30(x - 2a)x

In the last 10 minutes, the number of files sorted will be 5(x - 3a)

Thus, we can form the following equation-

30x + 30(x - a) + 30(x - 2a) + 5(x - 3a) = 1775

30x + 30x - 30a + 30x - 60a + 5x - 15a = 1775

95x - 105a = 1775

19x - 21a = 355

x = (355 + 21a)/ 19

since x and a both have to be integers, (355 + 21a) must be divisible by 19.

This is the case when a = 3

⇒ x = (355 + 21*3)/ 19

x = 418/ 9

x = 22

Now, the number of files sorted in first one and a half hours will be-

30x + 15(x - a)

= 30*22 + 15(22 - 3)

= 660 + 15*19

= 660 + 285

= 945

Thus, the number of files sorted in the first one and a half hours of sorting is 945.

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The food percentage would be 19%, 51% and 30%.

Given that we've done it

Number of meals consumed by X = 57

Food consumed by Y = 153.

Number of meals consumed by Z = 90

Total amount of meals consumed = 57 + 153 +90 = 300

Food proportion of flock X thus Equals 57 / 300 * 100 = 19 %

flock food percentage Y =153/300 * 100 = 51 %

flock food percentage Z = 90/300 * 100 = 30 %

This means that the percentages are 19%, 51%, and 30%.

Based on the given information, we have:

Flock X ate 57 pieces of food.

Flock Y ate 153 pieces of food.

Flock Z ate 90 pieces of food.

The total number of pieces of food eaten is 300 (sum of the individual flock's food).

The food percentage for Flock X is 57/300 ≈ 0.19 or 19%.

The food percentage for Flock Y is 153/300 ≈ 0.51 or 51%.

The food percentage for Flock Z is 90/300 = 0.3 or 30%.

The total number of birds for the second generation is 30 (given).

To find the simulated number of birds in each flock for the second generation, we multiply the food percentage for each flock by the total number of birds (30).

For Flock X: 0.19 × 30 = 5.7 (rounded to the nearest whole number: 6 birds)

For Flock Y: 0.51 × 30 = 15.3 (rounded to the nearest whole number: 15 birds)

For Flock Z: 0.3 × 30 = 9 (rounded to the nearest whole number: 9 birds)

Therefore, the simulated number of birds in Flock X, Flock Y, and Flock Z for the second generation are 6, 15, and 9 birds, respectively.

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Complete Question

Flock X Flock Y Flock z Total Pieces of Food Eaten 57 153 90 Food Percentage* % 1% % Simulated Number of Birds in Flock for 2nd Generation ** * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30). DONE

Answer:

19 51 30

6 15 9

second part Is Y then X

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

(y1-y2)/(x1-x2)

(2-4)/(0-4)

-2/-4

1/2

Answer:

Slope: 1/2

Step-by-step explanation:

Answer:

m∠6 = 115; m∠5 = 115; m∠1 =  130; m∠4 = 65

Step-by-step explanation:

44.  m∠6 = 180 - 65 = 115

45. m∠5 = 180 - 65 =115

46. m∠1 = 180 - 50 = 130

47. m∠4 = 180 - (50+65) = 180 - 115 = 65

Answer:

the person below is correct

Step-by-step explanation:

hope it helped have an amazing night :)❤

Answer: Um sure you can

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Answer:

1.2x + 0.8y = 2.4

x = 5/3

y = 0.5

(please give brain if this helps or is correct)

Step-by-step explanation:

to solve an equation with 2 missing variable we must simplify then solve the equation

step 1: simplify the equation

ex: 1.2x + 0.8y = 2.4   (0.8y = -1.2x + 2.4)

step 2: divide all numbers by 0.8

ex: 0.8y/0.8 = -1.2x/0.8 + 2.4/0.8   (y = -1.5x + 3)

step 3: subtract 3 from both sides of the equation

ex: y - 3 = -1.5x + 3 - 3   (-3y = -1.5x)

step 4: divide both sides of the equation by -3

ex: -3y/-3 = -1.5x/-3   (y = 0.5)

step 5: plug in 0.5 into y then solve the original equation to find x

ex: 1.2x + 0.8(0.5) = 2.4

step 6: multiply 0.8 by 0.5

ex: 1.2x + 0.8(0.5) = 2.4   (1.2x + 0.4 = 2.4)

step 7: subtract 0.4 from each side of the equation

ex: 1.2x + 0.4 - 0.4 = 2.4 - 0.4   (1.2x = 2.0) or (1.2x = 2)

step 8: divide 1.2 from each side of the equation

ex: 1.2x/1.2 = 2/1.2   (x = 5/3)

step 9: input 5/3 into x and keep 0.5 as y then solve to check your answer

ex: 1.2(5/3) + 0.8(0.5) = 2.4

2 + 0.4 = 2.4

2.4 = 2.4 (if both sides of the equation have the same answer like 2.4 = 2.4 then you answer is true)

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.

An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.

The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.

A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.

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Answer:

0 over 12

Step-by-step explanation:

3/4 is equal to 9/12

so your basically taking 9/12 from 9/12

Answer:

.715 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

8.29 miles

Step-by-step explanation:

1 mile= 4*1/4=0.30*4=1.20

11=2.25+1.20(m-1)

8.75=1.20(m-1)

7.29=m-1

8.29=m

The student needs a minimum score of 84.5 on the fourth test to ensure a grade of B.

To find the minimum score the student needs on the fourth test, we can use the formula for the average of four numbers:

Average = (sum of the numbers) / 4

We know that the student needs an average of at least 80 to earn a grade of B, and we also have the scores for the first three tests: 77, 77.25, and 81.25. So, we can set up the equation:

80 = (77 + 77.25 + 81.25 + x) / 4

where x is the score the student needs on the fourth test. Solving for x:

80 = (235.5 + x) / 4

320 = 235.5 + x

x = 320 - 235.5

x = 84.5

So, the student needs a minimum score of 84.5 on the fourth test to ensure a grade of B.

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The slope of the ramp is 1/3 and the ramp should rest approximately 8.57 feet from the van to maintain a slope of 1.4 inches per foot or less.

a) To determine the slope of the ramp, we can use the formula:

Slope = Vertical rise / Horizontal run

In this case, the vertical rise is the height of the van door, which is given as 16 inches. The horizontal run is the distance from the bottom of the ramp to the van, which is 4 feet or 48 inches.

Slope = 16 inches / 48 inches = 1/3

Therefore, the slope of the ramp is 1/3.

b) If the ramp cannot have a slope of more than 1.4 inches per foot, we can set up a proportion to find the appropriate distance from the van for the ramp to rest.

Let x be the distance from the van that the ramp should rest (in feet).

According to the given condition, the maximum slope allowed is 1.4 inches per foot. This can be written as:

1.4 inches / 12 inches = x feet / x

Simplifying the proportion:

1.4 / 12 = x / x

1.4x = 12

x = 12 / 1.4

x ≈ 8.57 feet

Therefore, the ramp should rest approximately 8.57 feet from the van to maintain a slope of 1.4 inches per foot or less.

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The value of the number for the expression seven is less than the quotient of a number and five is two​ is 45.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a number is seven less than the quotient of a number and five is two​.

The value of the unknown number will be calculated as,

x/5 - 7 = 2

x/5 = 9

x = 45

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Obtuse; 25° + 87° = 112° and 112° is an obtuse angle is the correct answer.

Triangle is a three-sided polygon with three angles. All the sides of a triangle are connected, forming a closed shape. Triangles come in many different shapes and sizes. The most common type of triangle is an equilateral triangle, which has three equal sides and three equal angles. Other types of triangles include isosceles, scalene, obtuse, and right triangles. Triangles are used in many different fields, including architecture, engineering, and mathematics.

The triangle is obtuse because 25° + 87° = 112° and 112° is an obtuse angle. An obtuse triangle is one in which one angle has a measure greater than 90°.

The remaining two angles are acute, meaning they measure less than 90°.

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Answer:

The total amount of Cups are 10 7/24

Step-by-step explanation:

The answer is 10 7/24 because 2 and 1/6 cups can be turned into 2 4/24 and 8 1/8 can be turned into 8 3/24 add those 2 together and you get 10 7/24.