The line 15 + y = 3x is dilated with a scale factor of 3 about the point (3, -6). Write the equation of the dilated line in slope-intercept form

Answer:

1/14 ; 1/35

Step-by-step explanation:

A

6/10 x 5/9 x 4/8 x 3/7

3/5 x 5/9 x 1/2 x 3/7

1 x 1/3 x 3/14

1/14

B

4/10 x 3/9 x 2/8 x 6/7

2/5 x 1/3 x 1/4 x 6/7

2/15 x 3/14

1/5 x 1/7

1/35

The probability that  4 creature cards is pulled is 1/14 and the probability that 3 land cards and 1 creature card is pulled is 4/35

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here there are 4 land cards and 6 creature cards

thus selecting four cards at random from 10 cards is  ¹⁰C₄=210

and the event of selecting 4 creature cards from a total of 6 cards is ⁶C₄ =15

Therefore probability of pulling 4 creature cards is = 15/210

                                                                                     = 1/14

The probability of pulling 3 land cards and 1 creature cards is    

= ⁴C₃ × ⁶C₁   /  ¹⁰C₄

= 4/35

Hence 1/14 and 4/35 are the respective probabilities.

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Answer:

Step-by-step explanation:

Answer:

its 3, -6,-1... got 100%

Step-by-step explanation:

Answer:

jjjhhvvbjkknnnnmknnmkkkjnnnnnnnnnnnn

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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Answer:

Step-by-step explanation:

You need to find the equivalent of 54 by solving and finding the root of it.

GIVEN:

2*3³

3³=27

2*27=54

Change to square root.

\(\sf{\sqrt{2*3^3}}\)

Use the exponent rule.

EXPONENT RULE:

\(\Longrightarrow: \sf{\:A^{B+C}=A^B\cdot \:A^C}}\)

\(\Longrightarrow: \sf{\sqrt{2\cdot \:3^2\cdot \:3}}\)

\(\sf{\sqrt{2\cdot \:3^2\cdot \:3}=\sqrt{3^2}\sqrt{2\cdot \:3}}\)

\(\Longrightarrow: \sf{\sqrt{3^2}=3}\)

\(\sf{3\sqrt{2*\:3}}\)

Then, you multiply the numbers from left to right.

2*3=6

SOLUTIONS:

\(\Longrightarrow: \boxed{\sf{3\sqrt{6}}}\)

I hope this helps. Let me know if you have any questions.

Answer:

60

Step-by-step explanation:

Answer:

\(LCD\) \(is\) \(60\)

Step-by-step explanation:

We look for the \(LCM\) between these 3 number

\(12: 12,24,36,48,60\\6:6,12,18,24,30,36,42,48,54,60\\5:5,10,15,20,25,30,35,40,45,50,55,60\)

Our \(LCM\) is 60

that means our \(LCD\) is \(60\)

Brainliest please

I think he have choose 10

Step-by-step explanation:

(a)→ Given numbers are 7/-13 and -8/15

LCM of 13 and 15 = 195

7/-13

= -7/13

= (-7/13)×(15/15)

= (-7×15)/(13×15)

= -105/195

and

-8/15

= (-8/15)×(13/13)

= (-8×13)/(15×13)

⇛ -104/195

So,

-105/195 < -104/195

-7/13 < -8/15

(b)→ Given numbers are 5/8 and -9/14

We know that

Negative numbers are always less than positive numbers

5/8 > -9/14

(c).→Given numbers are -11/16 and 13/-16 = -13/16

-11/16 >-13/16

(d)→Given numbers are -9/-13 = 9/13 and

36/52 = 9/13

Both are same

-9/-13 = 36/52

The value of the given integral is 4500.

To evaluate the given integral ∫∫∫ xyz dV over the region bounded by x=0, y=0, z=0, x=10, y=1-x, and z=6-y, we need to use triple integration with limits of integration.

The given integral is a triple integral, so we need to integrate with respect to each variable x, y, and z. Let's first set up the limits of integration for each variable:

For z, the limits are from 0 to 6-y

For y, the limits are from 0 to 1-x

For x, the limits are from 0 to 10

Therefore, the integral can be written as:

∫∫∫ xyz dV = ∫ from 0 to 10 ∫ from 0 to 1-x ∫ from 0 to 6-y xyz dz dy dx

To integrate this, we need to use the properties of integration, which state that the integral of a product is equal to the product of the integrals:

∫ from 0 to 10 ∫ from 0 to 1-x ∫ from 0 to 6-y xyz dz dy dx = (∫ from 0 to 10 x dx) (∫ from 0 to 1 y(1-x) dy) (∫ from 0 to 6 z(1/2)(6-y)² dy)

Simplifying each integral, we get:

= (1/2)(10²)(1/2)(1/2)(6³)

= 4500

Therefore, the value of the given integral is 4500.

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Answer:

Step-by-step explanation:

56.6 tons.

Based on the slope of the demand curve and the new price of iron ore, the new quantity demanded at the new price of $211 is 49.60 tons

The equation given will allow us to find the new quantity demanded:

y = Mx + c

y = new quantity demanded

m = slope of the demand curve

x = change in price of iron ore

c = y intercept

Solving for the new quantity demanded at the new price gives:

= -3.2 x (211 - 104) + 392

= -342.40 + 392

= 49.60 tons

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Generally, a quotient of polynomials is decomposed into at least two partial fractions.

Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.

This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.

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Seven time four and five eights is thirty-two and three-eighths

The information in the question can be represented with this expression:

7 x 4 5/8

In order to determine the value, convert the mixed fraction to an improper fraction. A mixed fraction is made up of a whole number and a fraction. An improper fraction is made up of a numerator that is bigger than the denominator.

7 x 37/8 = 259/8

= 32 3/8

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Answer:

-decreases the chance of contracting any type of virus  

-decreases the chance of other people contracting the virus

Step-by-step explanation:

Answer: It keeps people safe, and it keeps you safe as well.

Step-by-step explanation: You're keeping other people safe by wearing a mask,since youre limiting or even entirely preventing particles and germs from reaching other people,and protecting yourself because a mask prevents germs entering your nose and mouth.

Answer:

26

Step-by-step explanation:

add them together and divide into 3

The answer is A. Evaluation researchers encounter more logistical problems than other researchers because evaluation research occurs in the context of real life.

Evaluation research often takes place in real-world settings, which can present logistical challenges such as accessing participants, coordinating schedules, and dealing with unexpected events. Additionally, evaluation research often involves multiple stakeholders and requires collaboration and communication among various groups, which can further complicate logistical issues. While evaluation research may also involve longer timelines, higher costs, measurement problems, and examination of multiple variables, these factors do not necessarily contribute to greater logistical challenges.

This means that evaluation researchers have to navigate complex, real-world situations, adapt to unforeseen challenges, and work with various stakeholders, making the research process more logistically challenging compared to controlled laboratory settings or theoretical research.

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Evaluation research is a type of research that focuses on assessing the effectiveness, efficiency, and impact of programs, policies, or interventions in real-life settings.

The correct answer is A. occurs in the context of real life.

This often involves evaluating the outcomes and impacts of interventions in complex and dynamic environments, such as organizations, communities, or systems. As a result, evaluation researchers may encounter more logistical problems compared to other types of researchers because they need to navigate real-life contexts, deal with multiple stakeholders, collect data from diverse sources, and address issues such as ethics, confidentiality, and validity in the evaluation process. Logistical problems may include challenges related to data collection, measurement, sample selection, data quality, and managing time and resources.

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We can see that Jack painted 15/24 of the wall, while Sam painted 14/24 of the wall. Comparing these fractions, we can conclude that Jack painted a larger part of the wall.

To determine who painted a larger part of the wall, we need to compare the fractions 5/8 and 7/12. To make the fractions easier to compare, we need to find a common denominator. In this case, the least common multiple (LCM) of 8 and 12 is 24.

To convert 5/8 to have a denominator of 24, we multiply the numerator and denominator by 3: (5/8) x (3/3) = 15/24.
To convert 7/12 to have a denominator of 24, we multiply the numerator and denominator by 2: (7/12) x (2/2) = 14/24.

Now we can see that Jack painted 15/24 of the wall, while Sam painted 14/24 of the wall. Comparing these fractions, we can conclude that Jack painted a larger part of the wall.

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Answer: 34

Step-by-step explanation: B=10 S1=12 S2=12. Add them up

Answer:

I'm assuming the sides are 12 and the bottom 10 so your perimeter is 34

If you count the boxes the line of the triangle takes up, its 12 and the bottom is 10

Sides: 12

bottom: 10

If you add them up:

12 + 12 + 10 = 34

Answer:

False.

Step-by-step explanation:

It's ok to plan future activities for the group, but it's best to plan in the beginning of the group.

The equation of the model is (b) 2x = 5

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

Left = x x

Right hand side = 1 1 1 1 1

The above parameters mean that

Left = 2x

Right = 5

When represented as an equation, we have

2x = 5

Hence, the equation is (b)

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Answer:

The percent discount is 17.3%.

Answer:

D. ASA

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.

Answer:

However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.

Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.

Step-by-step explanation:

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100 %sure

From the given information provided, the average stopping distance is 316 feet for car travelling at 65mph on dry level pavement.

The average stopping distance of a car traveling at 65 mph on dry, level pavement depends on various factors, such as the condition of the pavement, the condition of the tires, the weight of the car, and the efficiency of the braking system.

However, as a general estimate, the average stopping distance of a car traveling at 65 mph on dry, level pavement is about 316 feet. This includes both the reaction time of the driver and the braking distance of the car. It's important to note that this is an average estimate and actual stopping distance can vary depending on the conditions mentioned above. It's always best to drive at a safe speed and maintain a safe distance from other vehicles to avoid accidents.

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Answer:

.______________.

Step-by-step explanation:

Answer:

Under the sea bam ba bam  Under the sea bam ba bam  I am a crab and im under the sea

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you multiply any number in the first sequence by 3, you get that number in sequence 2 in the same position as the first number.

6x3=18

7x3=21

8x3=24

9x3=27

10x3=30

Answer:

yea

Step-by-step explanation:

what that other person sed

As a result of answering the given question, we may state that As a circle  result, the length of BC equals the length of AB, which is x. As a result, the value of x is: x = BC = AB

A circle is a two-dimensional form defined as the collection of all points in a plane that are equidistant from the centre. A circle is commonly represented by the letter "O" for the centre and the lowercase letter "r" for the radius, which is the distance from the centre to any point on the circle. Circles have various essential qualities, including circumference (the distance around the circle), which is given by the formula 2r, where (pi) is a mathematical constant roughly equal to 3.14159. The formula r2 gives the area of a circle, which is the amount of space inside the circle.

We may put out the following relationships using the provided diagram:

At the point of contact, the radius of the circle is perpendicular to the tangent line.

\(OA^2 = AB^2 + OB^2.\)

Substituting the values for OA and AB yields:

\((2y)^2 = y^2 + OB^2\)

When we simplify, we get:

\(4y^2 - y^2 = OB^2\\3y^2 = OB^2\)

When we take the square root of both sides, we get:

\(\sqrt(3)y = OB\\\sqrt(3)x = OB\)

When we set the two OB expressions equal to each other, we get:

y = x

As a result, the length of BC equals the length of AB, which is x. As a result, the value of x is:

x = BC = AB

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Answer:

green= 3/20. black =4/20 or 1/5

Step-by-step explanation:

green = 3

black = 4

total = 20

green = 3/4

black = 4/20 = 1/5

Given information:h(t) = -5t² + 12t + 14 where t is measured in seconds.a) How high is the rock off the ground when it is thrown?For h(0), the initial height of the rock is required.h(0) = -5(0)² + 12(0) + 14 = 14 meters.

For h(t), the rock's maximum height needs to be found to determine the time when the rock hits the ground. In order to determine the maximum height, first, we need to find the time of maximum height using the formula:

tmax = -b/2a = -12/2(-5) = 1.2s

Now, h(1.2) can be found to determine the maximum height:

h(1.2) = -5(1.2)² + 12(1.2) + 14 = 20.8 meters

Therefore, the rock is in the air for (1.2*2) 2.4 seconds.c) For what times is the height of the rock greater than 17 metres?This means h(t) > 17. Solving this inequality gives:-

5t² + 12t + 14 > 17

=> -5t² + 12t - 3 > 0

=> (-5t + 3)(t - 1) > 0

From part c, we know that the rock's height is greater than 17 metres between 0 and 0.6 seconds and after 1 second. Therefore, the time the rock is above 17 metres is the sum of these two time periods:0.6 seconds + (2 - 1) seconds = 1.6 seconds.

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Answer:

The answer is 18, I think.

Step-by-step explanation:

-9 times -2 = 18

18 divided by -9 = -2

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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