Which ordered pair can be removed so that the resulting graph represents a function?

(–2, 2)
(1, 3)
(5, –4)
(–4, –4)

Answer:

Yes they are.

Because:

As said in the rules you have to keep the bases and add the exponents.

Answer: x² - 16

= x² - 4²

= (x+4)(x- 4)

Step-by-step explanation:

You know it has to be x squared so in the first part of your brackets it would be an x.... (x    )(x    ). Then you have to find out what times what is 16... in this case it is 4... (x    4)(x    4). Next you have to know the rules regarding negatives and positive... if you know that, you should be able to work out that it would be (x-4)(x+4)... you can check this using the foil method (x times x, x times 4, -4 times x and -4 times 4) or smiley face method... hope this helpedFactorised means put into brackets...

The margin of error is an important factor in determining the sample size needed to estimate a parameter, it is not the only factor - False.

Other factors that need to be considered include the level of confidence desired, the variability of the population being sampled, and the size of the population.

The margin of error is the amount of error that is acceptable in the estimate of the parameter. The smaller the margin of error desired, the larger the sample size needed.

A higher level of confidence requires a larger sample size, as there is less room for error in the estimate. The variability of the population being sampled also plays a role in determining the sample size needed.

Finally, the size of the population being sampled also affects the sample size needed.

A smaller population requires a smaller sample size, while a larger population requires a larger sample size to ensure a representative sample.

In summary, while the margin of error is an important factor in determining the sample size needed to estimate a parameter, it is not the only factor.

Other factors that need to be considered include the level of confidence desired, the variability of the population being sampled, and the size of the population.

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The given equation is

First, we add 4 on each side.

Then, we multiply 10 on each side.

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Given that, Katie has four grape candies and 3 cherry candies.

Thus, the total number of candies is 7.

Calculate the ratio of grape candies to total number of candies.

Therefore, ratio is 4:7.

EXPLANATION:

1.First we have to find the linear combination of the two matrices.

2.The two matrices are 3 x 2 rows.

3.Then we must multiply each number by each of the matrices.

4.Finally we must subtract the results of each matrix

Now we will solve the exercise by following the steps already mentioned;

In the case of the given student question, approximately 95.4% of the values of a normal random variable are within two standard deviations of its mean.

For a normal distribution, approximately 95.4% of values lie within two standard deviations of the mean.

This is a well-known statistical rule, referred to as the 68-95-99.7 rule or the empirical rule.

It states that in a normal distribution:

68% of values fall within one standard deviation of the mean 95% of values fall within two standard deviations of the mean 99.7% of values fall within three standard deviations of the mean

Therefore, in the case of the given student question, approximately 95.4% of the values of a normal random variable are within two standard deviations of its mean.

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Answer:

r = 2

Step-by-step explanation:

(2-3)/(6-5)

= -1/1

= -1

Answer:

1/4x+3/4

Step-by-step explanation:

Answer:

(1,3)

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

15 divided by .20 = 75

A graph compares two variables; often shows change in a quantity over time

The term that complete the statement is graph

This is because a graph is a visual representation of data that allows us to compare two variables and analyze how they change over time.

The variables can be anything that we want to measure, such as temperature, sales, population, or stock prices.

For example, if we are comparing the temperature of a location over time, we may notice that the temperature tends to be higher in the summer months and lower in the winter months.

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The relationship between osmotic pressure and osmosis is closely linked. Osmotic pressure is the pressure exerted by a solvent to prevent the flow of water into a solution through a semipermeable membrane. It is directly proportional to the concentration of solute particles in the solution.

To calculate osmotic pressure, we can use the formula: Π = iRT(Cin - Cout)

- Π represents osmotic pressure in atmospheres.
- i represents the number of ions dissociated from each molecule in solution. For non-electrolytes like sugar, i is equal to 1.
- R is the gas constant, which is 0.082 atm/(K×M).
- T represents the temperature in Kelvin. For room temperature, it is 293 Kelvin.
- Cin represents the concentration of the solution inside the dialysis bag in moles per liter (M).
- Cout represents the concentration of the solution outside the dialysis bag.

Let's calculate the osmotic pressure for each of the given solutions:

1. Osmotic pressure of 70% Sucrose solution:
First, we need to calculate the molarity of the solution inside the bag (Cin). The molecular weight of sucrose is 342 g/mol. So, for a 70% sucrose solution, we have 700 g of sucrose in 1 L of solution. To convert this to moles, we divide by the molecular weight: (700 g / 342 g/mol) = 2.05 mol/L.

Now we can substitute the values into the formula:
Π = iRT(Cin - Cout)
Π = (1)(0.082 atm/(K×M))(293 K)(2.05 M - 0 M)
Π = 47.79 atm

Therefore, the osmotic pressure of the 70% Sucrose solution is 47.79 atm.

2. Osmotic pressure of 35% Sucrose solution:
Using the same process as above, we find that the molarity of the solution inside the bag (Cin) is 1.02 M.

Π = iRT(Cin - Cout)
Π = (1)(0.082 atm/(K×M))(293 K)(1.02 M - 0 M)
Π = 23.67 atm

Therefore, the osmotic pressure of the 35% Sucrose solution is 23.67 atm.

3. Osmotic pressure of water (control):
For water, the concentration of solute (Cin) is 0 M, as there is no solute present.

Π = iRT(Cin - Cout)
Π = (1)(0.082 atm/(K×M))(293 K)(0 M - 0 M)
Π = 0 atm

Therefore, the osmotic pressure of water is 0 atm.

The relationship between osmotic pressure and the rate of osmosis is that higher osmotic pressure leads to a faster rate of osmosis. Osmosis is the movement of solvent molecules from an area of lower solute concentration to an area of higher solute concentration through a semipermeable membrane. The higher the osmotic pressure, the greater the driving force for water molecules to move across the membrane.

If the dialysis membrane were impermeable to ions and NaCl was used instead of sucrose at the same molarity (2.05 M), the osmotic pressure would be different. NaCl dissociates into two ions in solution, so the value of i would be 2.

Π = iRT(Cin - Cout)
Π = (2)(0.082 atm/(K×M))(293 K)(2.05 M - 0 M)
Π = 97.98 atm

Therefore, if NaCl were used instead of sucrose, the osmotic pressure would be 97.98 atm. This is because NaCl generates more particles (ions) in solution, increasing the osmotic pressure compared to sucrose.

By understanding the relationship between osmotic pressure and the rate of osmosis, we can predict that a solution with higher osmotic pressure will have a faster rate of osmosis compared to a solution with lower osmotic pressure.

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Answer:

Hello! :) have a good day!

(10x+6)4 = 40x +24

Answer:

A lower price and quantity would result.

The correct expression to find the volume of a rectangular prism is D. (3 × 6) × 15 = 270 in.3.

Expression is a word, phrase, or gesture that conveys an idea, thought, or feeling. It is an outward representation of an emotion, attitude, or opinion. Expressions can be verbal, physical, or written. They can also take the form of art, music, or dance. Expression is used to communicate and express emotions, thoughts, and ideas. It can be a powerful tool to create a connection with others and build relationships.

The correct expression to find the volume of a rectangular prism is D. (3 × 6) × 15 = 270 in.3. This expression involves multiplying the length, width, and height of the rectangular prism in order to calculate the total volume. In this case, the length is 3, the width is 6, and the height is 15. If these values are multiplied together, the result is 270 in.3, which is the total volume of the rectangular prism.

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To prove that 4 evenly divides 11^n - 7^n for any positive integer n, we can use mathematical induction.
Base case: When n=1, 11^1 - 7^1 = 4, which is divisible by 4.
In both cases, the expression is congruent to 0 (mod 4), proving that for any positive integer n, 4 evenly divides 11^n - 7^n.

To prove that for any positive integer n, 4 evenly divides 11^n - 7^n, we can use the concept of modular arithmetic. We want to show that 11^n - 7^n is congruent to 0 (mod 4) for all n.
First, observe that 11 ≡ 3 (mod 4) and 7 ≡ -1 (mod 4). Using the properties of congruences, we can rewrite the original expression as:
(3^n) - (-1^n) ≡ 0 (mod 4)
Now, let's consider two cases:
1. n is odd: In this case, 3^n ≡ 3 (mod 4) and (-1)^n ≡ -1 (mod 4). Thus, the expression becomes 3 - (-1) ≡ 4 (mod 4), which is congruent to 0 (mod 4).
2. n is even: In this case, 3^n ≡ 1 (mod 4) and (-1)^n ≡ 1 (mod 4). The expression becomes 1 - 1 ≡ 0 (mod 4).
In both cases, the expression is congruent to 0 (mod 4), proving that for any positive integer n, 4 evenly divides 11^n - 7^n.

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The Miller indices for the plane shown in the unit cell are (1,1,0).

The Miller indices are a set of integers used to describe the orientation of a crystal plane in a crystal lattice. The indices are calculated as the reciprocal of the fractional coordinates of the normal to the plane with respect to the lattice vectors.

The indices are expressed in a reduced form, with the greatest common divisor of the indices being 1. In this case, the plane has a normal that intersects the x and y axes of the unit cell at equal distances, hence the indices (1,1,0), which indicate that the plane is inclined towards the z-axis.

The minus sign is not needed as the Miller indices only describe the orientation of the plane and not its handedness.

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Teen awareness refers to the level of knowledge, understanding, and consciousness that teenagers have about various issues, including but not limited to social, environmental, health-related, and global concerns.

1) In Colorado, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

2) In Nevada, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

3) The result of changes in teen seat belt use is unclear as you did not provide any specific information or data to analyze.

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For the 6th point, the answer is PR because this is the formula from the Pitagoras theorem, PT and RT are the hicks, so PR is the hypotenuse.

For the 7th point, the answer is QR because this is the formula from the Pitagoras theorem, QT and RT are the hicks, so QR is the hypotenuse.

Answer:

can you show me the graph so I can't answer the question

Answer:

A

Step-by-step explanation:

Edge 2022

The probability the client E is 0.2

It is a branch of mathematics that deals with the occurrence of a random event.

Let's assume that population of 50 people and the number of those that lives to 78 years is 10.

Therefore, the probability that can be deduced of those that live to 78 years will be:

= 10/50 × 100

= 1/5 × 100.

= 20%

= 0.2

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Answer:

to find x u will do : 61+132+x=1290

x=1290-193

x=1097

Answer:

6-r

7-t

8-m

9-a

Hope this helps plz mark me s brainliest for both questions

The Area of the composite figure = area of the rectangle + area of the triangle = 148.5 cm².

The figure formed by the arrow can be decomposed into a rectangle and a triangle.

The area of the composite figure = area of the rectangle + area of the triangle.

Find the area of the rectangle:

Length = 12 cm

Width = 11 cm

Area of the rectangle = (length)(width) = (12)(11)

Area of the rectangle = 132 cm²

Find the area of the triangle

Base = 11 cm

Height = 15 - 12 = 3 cm

Area of the triangle = 1/2(b)(h) = 1/2(11)(3)

Area of the triangle = 16.5 cm²

Area of the composite figure = area of the rectangle + area of the triangle = 132 + 16.5 = 148.5 cm².

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The expression x³ - 64 can be rewritten using difference of cubes is; (x - 4)(x² + 4x + 16)

Difference of cubes can be rewritten in the form of;

a³ – b³ = (a – b)(a² + ab + b²)

So in this question, we are given;

x³ - 64 = x³ - (4)³

where a = x and b = 4

This gives us;

(x - 4)(x² + 4x + 4²)

⇒ (x - 4)(x² + 4x + 16)

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Answer:

At 160 minutes, both plans cost the same amt.

Step-by-step explanation:

Let x = number of minutes used

Plan B costs 24 + 0.05x

Plan A is 32.

Set the plans equal to each other and solve for x

32=24+0.05x

8 = 0.05x

Divide both sides by 0.05 to solve for x

160 = x

So at 160 minutes, both plans cost the same amt.