Which ordered pair needs to be removed in order for the mapping to represent a function?

(–3, –4)
(–2, –1)
(1, –3)
(3, 7)

Answer:

\(\frac{9}{16}\)

Step-by-step explanation:

\((-\frac{3}{4}) ^{2}\)

= - \(\frac{3}{4}\) × - \(\frac{3}{4}\) ← multiply numerators/ denominators

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

=\(\frac{9}{16}\)

The probability that three points chosen uniformly and independently on a circle fall on a semicircle is 1/2 or 50%.

The probability of three points chosen randomly and independently on a circle falling on a semicircle is 1/2, or 50%. This is because the probability of a point landing on either side of the semicircle is equal. The points are chosen on a circle, so each point has an equal probability of being on either side of the semicircle. Therefore, the probability of three points randomly chosen on a circle landing on a semicircle is 1/2 or 50%.

Let A, B, and C be the three points chosen on a circle.

The probability that A, B, and C fall on the semicircle is:

P(A on semicircle) x P(B on semicircle) x P(C on semicircle)

= (1/2) x (1/2) x (1/2)

= (1/2)^3

= 1/8

Therefore, the probability that three points chosen randomly and independently on a circle fall on a semicircle is 1/8 or 12.5%.

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The probability that three points chosen uniformly and independently on a circle fall on a semicircle is written as 1/8.

The term probability in math is defined as the chances of something materializing based upon the ratio of its number of outcomes to the number of outcomes of the whole sample space the event relies upon.

While we looking into the given question, here let us consider that A, B, and C be the three points chosen on a circle.

Then the probability that A, B, and C fall on the semicircle is calculated as,

=> P(A on semicircle) x P(B on semicircle) x P(C on semicircle)

Now, we have to apply the value of each probability, then we get

=> (1/2) x (1/2) x (1/2)

Therefore, the resulting value is

=> (1/2)³ = 1/8

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Answer:

-5

Step-by-step explanation:

Slope, m, can be found by

change in y / change in x

change in y = 6 - -9 = 15

change in x = 7 - 10 = -3

m = 15/-3 = -5

full line is y = -5x + 41

The length of the arc subtended by the angle's rays in circle is approximately 0.00209 cm.

We must first determine what fraction of the circle is subtended by an angle of 140 degrees.

The fraction of a circle that is subtended by an angle is found by dividing the angle by 360 degrees.  

Therefore, the fraction of a circle that is subtended by an angle of 140 degrees is given by:

140/360 = 7/18

Now, we want to know what the fraction of the circle is in terms of length. The circumference of the circle is given by:

2πr, where r is the radius of the circle.  

1/360th of the circumference of the circle is therefore:

2πr/360

The length of the arc subtended by the angle's rays is therefore:

(7/18)(2πr/360) = πr/90

Therefore, the arc subtended by the angle's rays is (π/90) times as long as 1/360th of the circumference of the circle, which is the answer to the first question.

b)We must multiply 1/360th of the circumference by the fraction found in part a.

We know that 1/360th of the circumference is 0.06 cm long and that the fraction of the circle subtended by the angle is π/90.

Multiplying these two numbers together gives:

0.06 x π/90 ≈ 0.00209

Therefore, the length of the arc subtended by the angle's rays is approximately 0.00209 cm.

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Answer:

Step-by-step explanation:

the only factors of -12 is: 12 and -1 or -12 and 1, 2 and -6 or -2 and 6, and finally 3 and -4 or -4 and 3. There is no even factor of 12 that adds to -2, unless you use decimals which even then I don’t think there is an awnser. So the awnser would be nonfactorable.

Answer:

56 cups of water

Step-by-step explanation:

Katrina drinks 0.5 gallons of water per day

We have 7 days in a week, hence, the number of gallons of water she drinks per week is calculated as:

1 day = 0.5 gallons

7 days = x

Cross Multiply

1 day × x = 7 days × 0.5 gallons

x = 7 days × 0.5 gallons/1 day

x = 3.5 gallons

Note that 16 cups = 1 gallon

The number of cups of water she drinks per week is

1 gallon = 16 cups

3.5 gallons = x

Cross Multiply

1 gallons × x = 3.5 gallons × 16 cups

x = 3.5 gallons × 16 cups/1 gallons

x = 56 cups

Therefore, Katrina drinks 56 cups of water in a week

Answer:

Step-by-step explanation: 1,000,000,000,000 is 10 to the 12th power basically trillon

1,000,000 is 10 to the 6th power witch it’s 1 million 1,000,000,000 is 10 the 9th power and for 1,000 that’s 10³ basically one thousand and I think you can do the last one your self! (Hint which number has 10² what I mean is 2 zeros,!?)

Answer: $3.60

Step-by-step explanation:

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

"Information available from the question"

In the question:

1. Pay $0. 49, plus an additional $0. 019 per minute.

2. Pay $0. 059 per minute.

Now, According to the question:

How to determine the inequality that represents the statement?

We have the following parameters that can be used in our computation:

1. Pay $0.49, plus an additional $0.019 per minute.

2. Pay $0.059 per minute.

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x.

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Answer:

If Sharon has 300 channels with her cable service, then her monthly cost is calculated as follows:

300 channels × $0.20 per channel = $60

This means that Sharon's current cable bill is $60 per month. If she switches to Great Vista Satellite, her monthly cost will be $180, which is $120 more than her current bill. This increase in cost can be represented by the equation:

$120 = 300 channels × $0.20 per channel × m

where "m" is the number of months Sharon has to subscribe to the satellite service to break even.

Simplifying the equation, we get:

m = $120 ÷ ($0.20 × 300 channels) = 2

Therefore, Sharon will have to subscribe to the satellite service for 2 months to break even. After that, she will start saving $0.20 per channel per month compared to her cable service.

Answer:

D. a is equal to  \(\frac{1}{4}\)

Step-by-step explanation:

Let us assume that segment PQ is 8 units, so that its midpoint M is at 4 units to both P and Q.

Given that X is the midpoint of PM, this implies that X is at 2 units to both P and M.

Then;

PX = aPQ

⇒   = a x 8

      = 8a

Therefore, a must be equal to \(\frac{1}{4}\), so that;

PX = 8a

     = 8 x  \(\frac{1}{4}\)

     = 2 units

Thus, a is equal to  \(\frac{1}{4}\) is the correct option.

The transformation that would linearize the data for volume and time is ln(Seconds), ln(cm3).

The correct option is (D)

To determine which transformation will linearize the data, we can look at the form of the relationship between volume and time in the scatterplot. Since the pattern is curved, it suggests that the relationship may be exponential. Therefore, we can try taking the logarithm of the volume or the time or both and see which transformation produces a linear relationship.

A) Seconds, cm3: This transformation does not involve taking the logarithm of either variable, so it is unlikely to linearize the relationship.

B) ln(Seconds), cm3: This transformation takes the natural logarithm of the time variable. It may help to linearize the relationship if the relationship is exponential with respect to time.

C) Seconds, ln(cm3): This transformation takes the natural logarithm of the volume variable. It is unlikely to linearize the relationship because it does not address the potential exponential relationship with respect to time.

D) ln(Seconds), ln(cm3): This transformation takes the natural logarithm of both variables. It is a good choice because it can linearize an exponential relationship between the two variables.

Therefore, the transformation that would linearize the data for volume and time is D) ln(Seconds), ln(cm3).

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Answer:

why it in pink and ur supposed too x them then divide

The approximate range is -30 to 30. Therefore, the correct answer is option D.

The correlation coefficient r measures the strength and direction of a linear relationship between two variables, x and y. The correlation coefficient can range from -1 (perfectly negatively correlated, meaning as one variable increases, the other decreases) to 1 (perfectly positively correlated, meaning as one variable increases, the other increases).

When r = -0.9, this tells us that there is a strong negative linear relationship between x and y.

The equation for a linear relationship with a correlation coefficient of -0.9 is y = -0.9x + b, where b is the y-intercept. When x = 40, plugging this into the equation gives us y = -36.

So at an x-axis value of 40, the approximate range (lowest to highest) of y-values is -36 to 36. Since 36 is further away from the y-intercept than -36, the lowest possible value of y will be -30.

So, the approximate range is -30 to 30.

Therefore, the correct answer is option D.

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The solution is: the present age of the man is 40 years and the present age of the son is 8 years.

Let us assume the age of the son now = x

Then

The age of the man now = 5x

Now we have to calculate the age of the son and father 9 years ago

Age of the son 4 years ago = x - 4

Age of the man 4 years ago = 5x - 4

Then

5x - 4 = 9(x - 4)

5x - 4 = 9x - 36

5x - 9x = -36 + 4

- 4x = - 32

MUltiplying both sides of the equation by -1 we get

4x = 32

x = 32/4

 = 8

So the present age of the son is 8 years

Present age of the man = 5x

                                      = 5 * 8

                                      = 40 years

So the present age of the man is 40 years and the present age of the son is 8 years.

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complete question:

A man is five times as old as his son. Four years ago, he was nine times as old. Find their present ages.

The acceleration produced by a car will decrease as its mass rises. Less acceleration will be recorded by the computer system, which will cause a drop in the acceleration value on the graph.

Graph:

An organized visual representation of any data in mathematics is called a graph. The graph shows the correlation between the variable values. In graph theory, a graph is used to represent the collection of objects that are somehow connected to one another. In essence, the objects' vertices or nodes are mathematical concepts, and the connections between the nodes are represented by the edges. Different types of graphs are used in mathematics and statistics to visually display data. The discipline of graph theory is the study of points and lines. It is a field of mathematics that specializes in the study of graphs. This image visually illustrates the mathematical truth. The graph theory is used to study relationships.

Complete question:

Use the image to answer the question. Students are using the experimental setup shown in the image in which the two ends of a string are attached to a car and to a hanger. The students conduct three trials in which they place metal discs on the hanger to manipulate the force applied to the car. As a result, the car accelerates along the table while two photogate probes collect motion data. On the fourth trial of this experiment, a student places some discs on the car by mistake. In 1-2 sentences, explain how this mistake will affect the graphs produced by the computer.

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Answer:

n = 21 + m/5

Step-by-step explanation:

hope it's helpful

Answer:

The answer is n = m + (21/5).

Step-by-step explanation:

m = 5n – 21

Now, to make n the subject add both side 21 we get,

m + 21 = 5n – 21 + 21

m + 21 = 5n

It also written as

5n = m + 21

Now, Divide both side by 5 we get,

5n/5 = (m + 21)/5

n = (m + 21)/5

Thus, The answer is n = m + (21/5).

-TheUnknownScientist 72

Answer:

80

Step-by-step explanation:

im not sure i ever done this but 1x2=2 and 2x 40= 80

i dont know sorry im trying my bets

Answer: Bones break because so much force is applied onto them at a singular moment, more than can be handled. Most commonly from falls where you hit your bone in a specific spot.

Bones can break, also known as a fracture, due to a variety of reasons. Here are some common causes:

Trauma: A sudden force or impact, such as a fall, can cause a bone to break.

Overuse: Repeated stress on a bone over time can cause a stress fracture, which is a small crack in the bone.

Medical Conditions: Certain medical conditions, such as osteoporosis, cancer, or infections, can weaken bones and make them more susceptible to fractures.

Vitamin and Mineral Deficiencies: Insufficient levels of calcium, vitamin D, and other minerals necessary for strong bones can increase the risk of fractures.

The severity of a fracture can vary depending on the force of impact and the strength of the bone. Some fractures may only cause minor pain and swelling, while others may require surgery and a prolonged healing process.

It is important to seek medical attention if you suspect a fracture as prompt diagnosis and treatment can help prevent complications and promote healing. Treatment options for a fracture may include immobilization, casting, surgery, or physical therapy, depending on the severity and location of the break.

The number of more drapery pieces than upholstery pieces does Brandon have is 2.03 pieces

Number of pieces of upholstery fabric = 23 3/5 ÷ 2 5/6

= 118/5 ÷ 17/6

= 118/5 × 6/17

= 708 / 85

= 8 28/85

Number of pieces of drapery fabric = 18 1/2 ÷ 2 5/6

= 37/2 ÷ 17/6

= 37/2 × 6/17

= 222/34

= 6 18/34

= 6 9/17

How many more drapery pieces than upholstery pieces does Brandon have = 708 / 85 - 222/34

= (24072-18204) / 2890

= 5,868 / 2890

= 2.03 pieces

Therefore, the number of more drapery pieces than upholstery pieces does Brandon have is 2.03 pieces

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Answer: AllRealNumbers

Step-by-step explanation:

1. Distrubute: 3(4x+5)=> 12x+15

2. Simplify: 12x+15=12x+15

=> 15=15

Since it cancels out it means that x can be any real number.

Have a nice day! :D

Answer:

12

Step-by-step explanation:

7*3=21 so 4*3=12

Answer:

C. It is used to find the sum of interior angles

Also , it can be used to find the number of triangles in the polygon,

Step-by-step explanation:

Example :

Find the sum of interior angles whose no of sides is 6 and give the name of the polygon

  Solution

S = (n-2)180°

S = (6-2)180°

S = (4)180°

S = 720°

The polygon is a Hexagon

I hope it helps  :)

S = (n – 2)180° is used to calculate the sum of interior angles of the polygon. Then the correct option is A.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The sum of the interior angle of the polygon is given as,

S = (n – 1)180°

Where, n be the number of the sides.

Then the correct option is A.

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Answer:

adjacent = 8.66 2dp

hypotenuse = 10

Step-by-step explanation:

to find the adjacent side

tan(60) = x/5

tan(60) × 5 = x

adjacent side length = 8.66 2dp

to find the hypotenuse

8.66^2 + 5 ^2 = sqrt(ans)

hypotenuse = 10

Answer:

5a+13

Step-by-step explanation:

17-7a+12a+6

combine like terms

-7a+12a+7+6

simplify

5a+13

Answer: 5

Step-by-step explanation:

17 - 7a + 12a + 6  

1. Combine similar terms:

17 - 7a + 12a + 6 = 23 + 5a = 5a+23

The number that goes into the green box is 5.

K23 is the graph that does not have any Euler path.

So, option A is correct.

An illustration of a relation is a function graph. In set theory and modern mathematical foundations, a function is truly equal to its graph. It is often helpful to think about functions as mappings, which include the sets that constitute the domain and the codomain in addition to the relationship between input and output. A codomain should be considered, for instance, while determining if a function is onto (surjective) or not. The codomain is not determined by the graph of a function alone. The terms "function" and "graph of a function" are frequently used[3] because, although they refer to the same thing, they convey a different viewpoint.

If a graph has more than the two vertices of an odd degree, then the graph does not have any Euler path.

So, K23 is the graph that does not have any Euler path.

Hence, option A is correct.

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The complete question is :

"Select the graph that does not have an Euler trail.

A.K2,3

B.K3,3

C.K3,4

D.K4,4"

The ratio of the surface area of Theo's sphere to the total surface area of Akshay's spheres is 25:8.

We have , The radius of Theo's sphere , R = 5

As we know that,

Surface area of sphere , A₁ = 4πr²

where r --> radius of sphere

So, Surface area of Theo's sphere = 4πR² = 4×π (5)² = 100π

The radius of Akshay's two spheres,

R₁ = R₂ = 2

Surface area of Akshay's first sphere

= 4πR₁²

= 4×π ( 2)² = 16π

similarly, surface area of Akshay's second sphere = 4πR₂² = 4×π(2)² = 16π

Total surface area of Akshay's two spheres, A₂ = 16π + 16π = 32π

Then, the ratio of the surface areas of spheres, A₁ : A₂ = 4π(R)² :4π(R₁² +R₂²)

=> A₁ : A₂ = 100π : 32π

=> A₁ : A₂ = 25 : 8

Hence, required ratio is 25:8.

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

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