What is the scale factor from sjt to ect?

What Is The Scale Factor From Sjt To Ect?

Answers

Answer 1

Answer: 3

Step-by-step explanation:

The scale factor is the proportional ratio from one figure to another.

Notice the corresponding lengths are CE≅JS, TC≅TJ, and TE≅TS.

Comparing CE and JS, the length for CE is 4, and the length for JS is 12.

[tex]4*3=12[/tex]

This means the scale factor is 3. To be sure, let's try the other side.

TC and TE have the same lengths. They are both 5 in length. TS is 15 in length.

[tex]5*3=15[/tex]

This confirms that the scale factor is 3.


Related Questions

A particular movie theater charges $7.00 per adult and $2.50 per child. If 600 people attended a movie and the total revenue from ticket sales was, which of the following models the given information if x represents the number of adults and y represents the number of children?

Answers

Answer:

Step-by-step explanation:

7x+2.50y=600

Let p be the constant function p (z) = 1,000,000,000. Let q be the exponential function q (2) = 10
The product of the two functions is (pq) (z) = 10ª-2, where a is a constant. What is the value of a?
C2023 Illuminate Education, Inc.
P
C

Answers

[tex]\large \boxed{\mathrm{10}}[/tex]

The constant function p has a fixed output of one billion, while the exponential function q has a base of two and an output of 10. As the input increases by one, the output of q doubles. For example, q(3) = 20 and q(4) = 40. The rate of growth of q is much faster than p. In fact, q will eventually surpass p for large enough inputs. This demonstrates the power of exponential growth and highlights the importance of understanding the functions used in equations and models.

Answer:

10 or 1b

Step-by-step explanation:

PLEASE HELP ASAP WILL GOVE BRAINLIEST NEED THIS AWNSERED IN 15 MINUTES

Answers

The segment lengths on the right triangle are given as follows:

JL = 13.[tex]KL = 13\sqrt{3}[/tex]

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

Sine of angle = length of opposite side to the angle divided by the length of the hypotenuse.Cosine of angle = length of adjacent side to the angle divided by the length of the hypotenuse.Tangent of angle = length of opposite side to the angle divided by the length of the adjacent side to the angle.

The sum of the internal angle measures of a triangle is of 180º, hence the missing angle is given as follows:

m < L = 180 - (30 + 60)

m < L = 90º.

Hence the segment JL represents the hypotenuse of the figure.

JL is opposite to the angle K, hence it's length is obtained as follows:

sin(30º) = JL/26

1/2 = JL/26

2JL = 26

JL = 13.

Segment KL is adjacent to the angle of 30º, hence it's length is obtained as follows:

cos(30º) = KL/26

[tex]\frac{\sqrt{3}}{2} = \frac{KL}{26}[/tex]

[tex]2KL = 26\sqrt{3}[/tex]

[tex]KL = 13\sqrt{3}[/tex]

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List at least five combinations of nickels and dimes such that the total value of the coins is 80 cents.

Answers

Here are five combinations of nickels and dimes that add up to 80 cents:

4 dimes and 4 nickels

3 dimes and 7 nickels

2 dimes and 12 nickels

1 dime and 16 nickels

8 dimes and 4 nickels

a certain forest covers an area of 1700km^(2). Suppose that each year this area descreases by 7.5%. What will the area be after 11 years?

round your answer to the nearest square kilometer.

Answers

The area of the forest after 11 years will be 298 km².

To calculate the area of the forest after 11 years, we need to decrease the initial area of 1700 km² by 7.5% each year for 11 years.

First, let's calculate the decrease in area for one year:

Decrease in area for one year = 7.5% of 1700 km²

7.5% of 1700 km² = (7.5/100) × 1700 km²

= 127.5 km²

Now, we can calculate the total decrease in area over 11 years:

Total decrease in area over 11 years = 11 × 127.5 km² = 1402.5 km²

Finally, we can subtract the total decrease in area from the initial area to get the area of the forest after 11 years;

Area of the forest after 11 years = Initial area - Total decrease in area

= 1700 km² - 1402.5 km²

= 297.5 km²

Therefore, Rounding to the nearest square kilometer, the area of the forest after 11 years will be approximately 298 km².

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The volume and radius of a cylinder are given below.
V=157.08 ft.³
r = 5 ft.

What is the area of the base of the cylinder?Use the approximation π 3.1416 or the calculator in your calculations. Round your answer to the nearest hundredth.


What is the height of the cylinder?
Round your answer to the nearest hundredth.

Answers

The area of the base of the cylinder is 78.54 ft² and height of the cylinder is  6.31 ft.

To find the area of the base of the cylinder, we can use the formula:

A = πr²

Substituting the given value of radius, we get:

A = π(5 ft)²

A = 78.54 ft²

Therefore, the area of the base of the cylinder is 78.54 ft².

b. To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Substituting the given values of volume and radius, we get:

157.08 ft³ = π(5 ft)²h

Simplifying, we get:

h = 157.08 ft³ / (π(5 ft)²)

h = 6.31 ft

Therefore, the height of the cylinder is approximately 6.31 ft.

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Solve for radius and diameter then what is the area C=226.08in

Answers

The radius of the circle is 35.98 in, the diameter is 71.96 in. and the area of the circle is 4066.98 sq. in.

Here, the circumference of circle is C=226.08 in

We know that the formula for the circumference of circle is C = 2πr

Using this formula we find the value of radius 'r',

C = 2πr

226.08 = 2πr

r = 226.08 / 2π

r = 35.98 in

And the diameter of the circle would be,

d = 2r

d = 2 × 35.98

d = 71.96 in.

And the area of the circle would be,

A = π × r²                                                                  

A = π × 35.98²

A = 4066.98 sq. in.

Therefore, the required area is  4066.98 sq. in.

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The complete question is:

Solve for radius and diameter then what is the area of the circle if the circumference of circle is C=226.08 in.

What the answer for radius huryyyyyyyyyy pleaseeee

Answers

Answer: 12.6

Step-by-step explanation:

150/360*2*pi*r=10.

divide to get r alone

Is 18 three more than nine true or false

Answers

Answer: False

Step-by-step explanation:

Counting up from 9, you get 10, 11, and 12. To get to 18 from 9 you would need to add 9.

Tomas used 3 [tex]\frac{1}{2}[/tex] of flour and now has 1 and two-thirds cups left. Which equation can he use to find f, the number of cups of flour he had to begin with?

f + 3 and one-third = 1 and two-thirds
f minus 3 and one-third = 1 and two-thirds
3 and one-third f = 1 and two-thirds
f divided by 3 and one-third = 1 and two-thirds

Answers

Answer:

B

Step-by-step explanation:

Answer:

I think It's b or a

Step-by-step explanation:

did this like 4 weeks ago.

The outcome of spinning 2 spinners 100 times is shown in the table. How many times would you expect these spinners to land on the same number in 10 spins?

Answers

We would expect the spinners to land on the same number approximately 2 times in 10 spins.

Based on the given probabilities, we know that the probability of the red spinner and blue spinner landing on the same number is 21%, and the probability of them landing on different numbers is 79%. We can use this information to calculate the expected number of times the spinners would land on the same number in 10 spins.

If we assume that the probability of the spinners landing on the same number is constant across all 10 spins, then we can model the number of times they land on the same number as a binomial distribution with n=10 (number of trials) and p=0.21 (probability of success).

Using the formula for expected value of a binomial distribution, we can calculate the expected number of times the spinners would land on the same number in 10 spins as:

E(X) = np = 100.21 = 2.1

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Complete question is:

The outcome of spinning 2 spinners 100 times is shown as.

Events                                            Actual outcomes                  Probability

P(red spinner = blue spinner)                  21                                            21%

P(not red spinner = blue spinner)          79                                            79%

How many times would you expect these spinners to land on the same number in 10 spins?

What is the probability that
both events will occur?
Two dice are tossed.
Event A: The first die is a 3 or 4
Event B: The second die is a 1
P(A and B) = P(A) • P(B)
P(A and B) = [?]
Enter as a decimal rounded to the nearest hundredth.

Answers

The probability that both events occur is 0.06.

What is the probability of both events?

The probability that both events occur is calculated as follows;

P(A and B) = P(A) x P(B)

The probability of event A is;

P(A) = number of outcomes / total number of outcomes

P(A) = 2/6

P(A) = 1/3

The probability of event B is;

P(B) = number of outcomes / total number of outcomes

P(B) = 1/6

The probability of both events is;

P(A and B) = P(A) x P(B)

P(A and B) = (1/3) x (1/6)

P(A and B) = 1/18 = 0.06

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In this circle, mQR = 72°.
What is m/QPR?
A. 18°
B. 24°
C 36°
D. 72°

Please show work or give an explanation please

Answers

Answer:

< QPR = 36

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

< QPR = 1/2 ( 72)

< QPR = 36

use your knowledge of transformations to find matching graph f (x) = ½ √x - 1

Answers

The graph of f(x) = ½ √x - 1 can be obtained by applying the following transformations to the graph of y = √x:

1. Shift the graph one unit to the right by adding 1 to the x-coordinate: y = √(x - 1)
2. Stretch the graph vertically by a factor of 1/2: y = ½√(x - 1)

Therefore, the graph of f(x) = ½ √x - 1 is a vertically stretched and horizontally shifted version of the graph of y = √x.

Answer:

Step-by-step explanation:

down 1

compress 1/2

ASAP!!!
Arthur cuts a 24° slice from a pizza 22 inches in diameter. Find the length of AB.
(See attached photo)​

Answers

The length of AB is 4.6 inches.

What is the length of an arc?

An arc is a part of a circle i.e. an incomplete circle. It can be either a major arc or a minor arc of a given circle.

The length of an arc can be determined by;

length of an arc = (θ/ 360)*2πr

Where r is the radius of the circle, and θ is the measure of its central angle.

In the given diagram, the arc AB is a minor arc. So that;

AB = (θ/ 360)*2πr

r = d/2

 = 22/2

r = 11 inches

AB = (24/ 360)*2*3.14*11

     = 4.6053

AB = 4.6 inches

The length of arc AB is 4.6 inches.

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If two angles are complementary then the sum of their measures is _______.



(Answer with a number ONLY)

Answers

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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Consider the sequence {3, 12, 21, 30, 39, 48, 57} What is a5

Answers

The value of the term a5 is 39

Calculating the value of a5

From the question, we have the following parameters that can be used in our computation:

{3, 12, 21, 30, 39, 48, 57}

The expression a5 means the 5th term of the sequence

In {3, 12, 21, 30, 39, 48, 57} , the fifth eterm is 39

Hence, a5 = 39

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1. Dave plays golf almost every day. The data set shown are his scores for his last 40 rounds of golf.

a. Construct a tally and frequency table for this data using class intervals 70-74, 75-79, 80-84, 85 - 89.
b. What percentage of Dave's scores were more than 84?
c. What percentage of Dave's scores were less than 75?
d. Copy and complete the following: More scores were in the interval..............than in any other interval.​

Answers

More scores were in the interval 75-79 than any other interval

How to solve

a. Class Interval Frequency

70-74    8

75-79    16

80-84    12

85-89     4

b. The % more than 84 = 4/40 x 100

=10%/

c. The % less than 75 = 8/40 x 100

= 20%

d. More scores were in the interval 75-79 than any other interval

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A jet can fly (8 x 10^3) miles per hour. How far can it fly in a day?

Answers

The jet can fly a distance of 192,000 miles in a day, assuming it can maintain a speed of 8 x 10³ miles per hour for 24 hours.

There are 24 hours in a day, so the distance the jet can fly in a day is:

Distance = Speed x Time

where Time is the duration of the flight.

If we assume that the jet can fly continuously for 24 hours without refueling or stopping, then the time of the flight is 24 hours.

Therefore, we have:

Distance = Speed x Time

=8 x 10³ miles/hour x (24 hours)

= 192,000 miles

Therefore, the jet can fly a distance of 192,000 miles in a day, assuming it can maintain a speed of 8 x 10³ miles per hour for 24 hours.

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A is a segment whose endpoints are the center of a circle and a point on the circle.

Answers

Diameter is the segment whose end points are on the circle and passing through the center of the circle.

Given a statement.

We have to find the term defined for the statement.

Given a circle.

The end points of the circle are on the circle.

Any line segment whose end points are on the circle is defined as the chord.

If a chord passes through the center of the circle, then it is called the diameter.

Hence the correct term is diameter.

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Your question is incomplete. The complete question must be probably the on as given below.

Identify the term.

A _____ is a segment whose end points are on the circle and passing through the center of the circle.

How many 1/4 cups of water fit inside of a 2 1/2 cup water bottle?

Answers

Answer:

There are 10 1/4 cups of water that fit inside a 2 1/2 cup water bottle.

To see why, note that 2 1/2 cups is equivalent to 10 quarter cups (2 x 4 = 8 and 8 + 2 = 10). Therefore, you can fill the water bottle with 10 1/4 cups of water.

Please anwser this is all the points I have :)

Answers

Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

[tex]\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2[/tex]

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

Scientists are studying the population of a rare species of primates, known as a Javan gibbons, on the Raja Ampat Islands
in Indonesia. They are studying the gibbons on three different islands, Batanta, Misool, and Salawati. The scientists studied
the population growth and recorded the data in the table.

2. What type of function is M(x)? Justify your answer and show calculations to support your conclusion.

Answers

The data presented shows the growth of the Javanese gibbon population on three different islands over time.

What informs the data?

Data trends must be analyzed to determine the type of function that is modeling population growth. A common way to do this is to plot the data points and observe the shape of the curve. However, since the table only contains data, you can analyze trends by looking at the differences between consecutive terms.

To do this, we can calculate the first difference and the second difference in the population data.

The first difference:

- Swing: 40 - 30 = 10, 50 - 40 = 10, 60 - 50 = 10

Example: 60 - 50 = 10, 75 - 60 = 15, 90 - 75 = 15

- Salavati: 80 - 60 = 20, 100 - 80 = 20, 120 - 100 = 20

The second difference:

- Batanta: 10 - 10 = 0, 10 - 10 = 0

- Example: 15 - 10 = 5, 15 - 15 = 0

- Salavati: 20 - 20 = 0, 20 - 20 = 0

The first difference is constant for each island and shows a linear relationship between time and population growth. Also, the second difference is zero, indicating a constant rate of change.

Therefore, we can conclude that the population growth modeling function is a linear function that can be written as

M(x) = mx + b

where x is the time in years, m is the slope (population growth rate), and b is the y-intercept (initial population).

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i need help please help its easy

Answers

The solutions for the inequality, in order from smallest to largest, are:

-7, -4, -2, 0, 0.9, 0.99, 0.999, 1

Which values make the inequality true?

Here we have the inequality:

y ≤ 1

All the values that make the inequality true are the values equal or smaller than 1.

So we just need to list these in order from smaller to larger.

The correct order will be:

-7, -4, -2, 0, 0.9, 0.99, 0.999, 1

These are the solutions in order.

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How many permutations do I have it I select 4 things from a total of 9 with replacement? (9P4)​

Answers

There are 3024 possible arrangements of 4 items selected from a total of 9 with replacement.

It is required to find the number of permutations when 4 things are selected from a total of 9 with replacement.

Use the formula for permutations with replacement, which is:

= [tex]^np_r[/tex]

Here n is the total number of items and r is the number of selections.

As per the question, n = 9 and r = 4.

So, the number of permutations is:

= ⁹p₄

= 9!/5!

= 9 x 8 x 7 x 6

= 3024

Thus, there are 3024 possible arrangements of 4 items selected from a total of 9 with replacement.

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Which number line shows a graph of the inequality x < 6

Answers

The number line that shows the inequality x < 6 is given by the following option:

Option D.

What are the inequality symbols?

The four inequality symbols, along with their meaning on the number line and the coordinate plane, are presented as follows:

> x: the amount is greater than x -> the number is to the right of x with an open dot at the number line. -> points above the dashed horizontal line y = x on the coordinate plane.< x: the amount is less than x. -> the number is to the left of x with an open dot at the number line. -> points below the dashed horizontal line y = x on the coordinate plane.≥ x: the amount is at least x. -> the number is to the right of x with a closed dot at the number line. -> points above the solid vertical line y = x on the coordinate plane.≤ the amount is at most x. -> the number is to the left of x with a closed dot at the number line. -> points above the dashed vertical line y = x on the coordinate plane.

The inequality for this problem is given as follows:

x < 6.

Which is composed by the numbers to the left of x = 6, with an open circle, due to the open interval.

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the french club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quality in the situation, and find reasonable domain and range values

Answers

Correct option is,

A: number of cars; money raised; 30 to 100 cars; $600 to $2000 is the right option.

Since, An independent variable is a variable that represents a quantity that is being controlled  in an experiment.

A dependent variable represents a quantity whose value depends on how the independent variable is controlled.

Now, In the given question;

The number of cars represents the independent variable while money raised represents independent variable .

Domain is the set of values the independent variable can take .

The number of cars 30 to 100 represents the Domain.

The range is corresponding y values .

The charge per car is $20.

Hence, Range = 30 x 20

                       =600

to Range = 100 x 20

              = 2000.

Thus, Correct option is,

A: number of cars; money raised; 30 to 100 cars; $600 to $2000 is the right option.

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Complete question is,

The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.

A: number of cars; money raised; 30 to 100 cars; $600 to $2000

B: money raised; number of cars; 30 to 100 cars; $600 to $2000

C: number of cars; money raised; $600 to $2000; 30 to 100 cars

D: money raised; number of cars; $600 to $2000; 30 to 100 cars

A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is greater than 9. Group of answer choices

Answers

The probability of getting two numbers whose sum is greater than 9 = 5/36

We know that the probability is nothing but the number of favourable outcomes divided by the total number of outcomes.

Here, a single die is rolled twice.

and we get the set of 36 equally likely outcomes.

so, the total number of outcomes n(S) = 36

Let us assume that event A: getting two numbers whose sum is greater than 9

A = {(4, 6), (5,5), (5, 6), (6, 4), (6, 5)}

n(A) = 5

Using above formula of probability,

P(A) = n(A)/n(S)

P(A) = 5/36

Thus the required probability = 5/36

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Mrs. Myles gave the same test to both her first and third period class. In first period, the median was 75 and the range was 30. In third period, the median was 80 and the range was 60. Which is a true statement? [Assume that scores can reach a maximum of 100.]
A The lowest score was in third period.The lowest score was in third period. - no response given
B On average, first period did better than third period.On average, first period did better than third period. - no response given
C The highest score was in first period.The highest score was in first period. - no response given
D There is not enough information to know if any of these is true.

Answers

Answer:

D There is not enough information to know if any of these is true.

Based purely on the facts provided, we cannot draw any judgements regarding the relative performance of the two classes. The range and median are important indices of central tendency and dispersion, but they do not offer an accurate picture of the score distribution. We don't know the distribution's form, the number of students in each class, or each student's exact score. As a result, we can't tell whether class received the lowest or highest score, or whether one class performed better overall than the other.

1. Have you immersed yourself in an unfamiliar environment and if so, what feelings did
you experience-vulnerability, loneliness, uncertainty?
2. How will globalization change your organization's mix of customers and products? How
will you need to grow and adapt to lead in the future state of the organization?
3. How high is your GQ? What concrete actions can you take to raise it?

Answers

1. When people find themselves in an unfamiliar environment, it is common to feel vulnerable, lonely, and uncertain.

2. Globalization can change the mix of customers and products for an organization by creating new markets and opportunities for growth.

3. You can improve your GQ by practicing mindfulness and meditation

What are the feelings that you have?

Businesses may need to concentrate on creating new goods and services that appeal to a global market as well as modifying their business models to satisfy the needs of clients in various regions of the world if they want to be leaders in the organization's future state.

In order for them to be more adaptable and receptive to changes in the global marketplace, they might also need to invest in technology and tactics.

Globalization can significantly impact an organization's mix of customers and products. The organization must adapt to this by investing in research and development to create new products.

By applying mindfulness, the GQ can be adequately raised for the organization.

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What are the fundamental assumptions of diagnostic or classification assessment? A community of interest that forms around a specific product is sometimes called a A) social community.B) cloud community.C) company community.D) brand community.E) target community. Mr. Pham assigns a quiz that will have at most 15 questions. Write an inequality that shows how many questions, q, will be on Mr. Phams quiz 5.1 Describe the relationship between temperature and the rate of leakage of the pigment from the beetroot cells I WILL GIVE YOU BRAINLIEST FOR FAST ANSWER!!!!!!!!!!!ABCD is a trapezium with AB DC what is the area of the trapezium? Question 1 Solve the following differential equations leaving your answer in the form x a. dx/dy = 5x/y ii) = dx/dy= x^4 Which lane must you be in before making a left turn from a one-way street?The lane nearest the left curb.The lane nearest the center of the street.The lane nearest the right curb. example question: Patient is zoned out, could be poison, OD or low blood sugar or seizure, question gives you the age of the patient and no other signs or symptoms, because of the lack of signs of poison or pills or history of diabetes it is most likely Read the passage from Tom Sawyer."Bother! Well, go long with you. Id made sure youd played hookey and been a-swimming." Read the passage from Tom Sawyer. Which summary accurately translates the dialect into standard English? Darn! Okay, you can go. I was sure youd skipped school and gone swimming. Great! Ill go along with you. I made certain you skipped school so we could go swimming. Oh dear. I didnt realize wed be talking so late. I meant to be sure you played hookey and went swimming. Fine. Ill believe you. But Ill be certain you dont skip school and go swimming.Meeting the spending targets in this budget meant some very difficult choices."" President Barack Obama, 2012 Budget Message of the President Read the passage. What did the president mean when he said he had to face "very difficult choices" when creating a federal budget? a. deciding which country to borrow from to finance spending b. deciding what would be funded and what would be cut c. deciding how to keep interest rates low on the national debtd. deciding how much to increase tax rates" IQR of 28 22 15 16 15 13 19 18 What is TRUE about emotions and financial decisions?O A.SOB.O D.You should only make financial decisions when you are in a good mood.You should only make financial decisions when you are in a bad mood.You should try to leave emotions out of financial decisions.Emotions generally make no impact on financial decisions. Name the property shown.9. 2 x= x 2td11. 7(z+ y) = 7z+ 7y10. 231= 2312. a + (2b + 3c) = (a + 2b) + 3c what ud a factor of a natural number What is the negation of the following statement? Please statewithout using any negation terms.(x Z)(y Z)(xy > y) "in as much details as u can please thanxx,9. (a) Study the variations of f(x) = r - In(1+x). (b) Study the variations of g(x) = (1 + x) In(1 + x) - 2. (c) Conclude that for all positive integer n, we have 1+1 x (1 + x)" If there is a combination of single-digit numerals and all other numerals in the same sentence (For example, I have 1 pen and 15 pencils), how will you transcribe it? How does Nora describe Dr. Rank's father? how long does a radar signal take to travel from earth to venus and back when venus is brightest? express your answer using two significant figures. PLEASE HELP! WORTH 100 POINTS! I WILL MARK BRAINIEST IF CORRECTFor each strength in the center column:add the country it describes to the first columnadd the result of that strength to the last columnResponsesChinaIndiaIt dominates the world market in providing consumer goods.It dominates the world market in call-center services. Shannons Ice Cream Shop, Shenanigans, sells three types of ice cream: Peanut Butter Cup, Coffee Cream and Oreo. Last week Shenanigans sold a total of 489 ice cream cones that were either Coffee Cream or Oreo. In total, they sold 711 ice cream cones last week. What is the probability Shenanigans will sell a Peanut Butter Cup cone next? Express your answer as a percent.