Which set of ordered pairs represents a function?
{(-4,9), (-4, 7), (1, -5), (7, —8)} {(-5, -5), (–9,1), (8, -6), (-9, -4)}
{(-6, -6), (-2, -2), (7,-6), (-5,0)}
{(-7, -9), (-7, -7), (3, –7), (5, -5)}

To determine the minimum volume of an aquarium needed for a turtle that is 4 1/2 inches long, we need to consider the size and behavior of the turtle. The minimum volume of the aquarium needed for the 4 1/2 inch turtle would be approximately 12.6 gallons.

       Assuming that the turtle is a Red-eared Slider (a common pet turtle), we can estimate its size and behavior. A turtle that is 4 1/2 inches long is likely a juvenile, but will eventually grow to be around 12 inches long. It will need a lot of space to swim and explore, so we should aim for an aquarium that is as large as possible. A general rule of thumb is that the aquarium should be at least four times the length of the turtle in both width and length, and at least twice the length of the turtle in depth.

Using this rule of thumb, we can calculate the minimum dimensions of the aquarium needed for the 4 1/2 inch turtle. If we assume that the turtle is 4.5 inches long, then the minimum dimensions of the aquarium would be:

Width = 4.5 inches x 4 = 18 inches

Length = 4.5 inches x 4 = 18 inches

Depth = 4.5 inches x 2 = 9 inches

Using these dimensions, we can calculate the volume of the aquarium in cubic inches, and then convert to gallons using the conversion factor of 231 cubic inches per gallon. The volume of the aquarium would be:

Volume = Width x Length x Depth = 18 inches x 18 inches x 9 inches = 2916 cubic inches

Volume in gallons = 2916 cubic inches / 231 cubic inches per gallon = 12.6 gallons

Therefore, the minimum volume of the aquarium needed for the 4 1/2 inch turtle would be approximately 12.6 gallons.

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Answer:

$4.00+0.035+$4.00=8.035=$8.35

Step-by-step explanation:

Answer:

0

Explanation:

Area of a square is expressed as;

A = L^2

L is the side length of the square

Given]Area A = 100m^2

Substitute inti= the formula

A < L^2

100 < L^2

L^2 > 100

L > \sqrt[100]

L > 10

Hence the range for the graph of the square's side is 0

Answer:

Use the Vertical Angles Theorem

Step-by-step explanation:

The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.

Answer:

See below.

Step-by-step explanation:

We have the following expression given:

We can take common factor and we got:

And after simplify we got:

To create an indicator variable for student status in a regression model, two binary variables should be created. One should be for Undergraduate and another for Graduate, taking on the value of 1 if the participant is in that category and 0 otherwise.Option A is correct.

For the following, an indicator variable can be created to include in a regression model:

a. Two Variables. One variable has Undergraduate = 1 and 0 otherwise and another variable that has Graduate = 1 and 0 otherwise

b..  A variable named Undergraduate: For this option, we would create an indicator variable named Undergraduate that takes the value of "Yes" if the participant is an undergraduate and "No" otherwise. This variable would be coded as 1 for "Yes" and 0 for "No.

c. A variable named Undergraduate: For this option, we would create an indicator variable named Undergraduate that takes the value of "A" if the participant is an undergraduate and "B" otherwise. This variable would be coded as 1 for "A" and 0 for "B".

d. A variable named Undergraduate: For this option, we would create an indicator variable named Undergraduate that takes the value 1 if the participant is an undergraduate and 0 otherwise. This variable would be coded as 1 for Undergraduate and 0 for Graduate.

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To include all five race/ethnicity groups (White, Black, Hispanic, Asian, and Other) in a regression model with an intercept, you would need to create four dummy variables.

The number of dummy variables needed for a categorical variable with n distinct groups is given by n-1. This is because when including all the groups in the regression model, we need to leave out one group as the reference category to avoid multicollinearity issues.

In this case, since there are five groups (White, Black, Hispanic, Asian, and Other), you would create four dummy variables, each representing one of the groups (excluding the reference category). The reference category is typically chosen as the group with the most observations or the group of primary interest in the analysis.

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Answer:

(1,3)

Step-by-step explanation:

The solution to a system of equations graph is the point of intersection of the two lines.

In this case the point where both lines meet is at x = 1 and y = 3

hence the answer being (1,3)

Answer:

(-5,1)

Step-by-step explanation:

They intersect

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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The volume of the described solid is V = 16r³/3

A solid line S should be drawn between z = a and z = b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then  A(x).

Volume of S = limₙ→∞ ∑i=₁ⁿ A(xi) Δx = \(\int\limits^a_b {A(x)} \, dx\)

The equation of circle x² + y² = r² where r is the radius of the circle.

Equation of upper semicircle yu= √(r²-x²)  and

Equation of lower semicircle yl = -√(r²-x²)

Area of cross-section A(x) = (yu² - yl²)

Substitute yu and yl values

A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²)        (1)

The limit for volume v varies from -r to r

Thus Volume v = \(\int\limits^{r}_{-r} {A(x)} \, dx\)

Substitute A(x) from (1)

V = \(\int\limits^{r}_{-r} {4(r^{2}-x^2 )} \, dx\)

V = 4[r²x - x³/3 ]

V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3

The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3

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When an allele has a frequency of 1.0 in a population, it means that every individual in the population has that particular allele.

In other words, the allele is present in every member of the population and is considered fixed. This can occur when the allele provides a selective advantage, meaning that individuals with the allele are more likely to survive and reproduce, passing on the allele to future generations.

For example, let's consider a population of rabbits. If a specific allele that gives rabbits resistance to a certain disease has a frequency of 1.0, it means that every rabbit in the population has this allele. This could be because rabbits with this allele are better able to survive and reproduce, resulting in the allele becoming fixed in the population.

It's important to note that a frequency of 1.0 does not necessarily mean that the allele is dominant. Dominance refers to how an allele is expressed in the phenotype of an individual. The frequency of an allele simply indicates how common it is within a population.

In summary, when an allele has a frequency of 1.0 in a population, it means that every individual in the population has that allele, indicating that it is present in the entire population and is considered fixed. The frequency of an allele does not determine its dominance; dominance refers to how an allele is expressed in an individual's phenotype.

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Answer:

multiplying the previous term in the sequence by 33 gives the next term. In other words, an=a1⋅rn−1an=a1⋅rn-1.

Geometric Sequence: r=3

Interest is the amount of money added on an amount invested. He have doubled her investment after 18 years

The formula for calculating the compound interest is expressed as

A = P(1+r)^t

Given the following parameters

P = $500

r = 4%= 0.04

A= $1000  (doubled)

Substitute

1000 = 500(1+0.04)^t

2 = 1.04^t

t = ln2/ln1.04

t= 17.67 = 18years

Hence he have doubled her investment after 18 years

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Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The middle of the plot falls at 9, making this statement true. None of the others make sense. Good luck!

Answer:

i think it is y=-2/3x+8

Step-by-step explanation:

Answer:

\(\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}\)

╭⋟───────────────

Sentence ⇻ The product of - 11 & - 7 gives 77.

Equation ⇻ \(\boxed{-11(-7)=77}\).

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ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\( RainbowSalt2^{2}2^{2}\) ❦

Answer:

-11(-7) = 77

Step-by-step explanation:

"and" = multiplication sign in maths

The probability of picking one bolt and one nut is 1/2 or 50%.

To find the probability that one is a bolt and one is a nut, we need to use the formula for calculating the probability of two independent events happening together: P(A and B) = P(A) × P(B)

Let's first calculate the probability of picking a bolt from the box:

P(bolt) = number of bolts / total number of parts = 3/6 = 1/2

Now, let's calculate the probability of picking a nut from the box:

P(nut) = number of nuts / total number of parts = 3/6 = 1/2

Since the events are independent, the probability of picking a bolt and a nut in any order is:

P(bolt and nut) = P(bolt) × P(nut) + P(nut) × P(bolt)

P(bolt and nut) = (1/2) × (1/2) + (1/2) × (1/2)

P(bolt and nut) = 1/2

Therefore, the probability of picking one bolt and one nut is 1/2 or 50%.

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the probability that one chosen part is a bolt and the other chosen part is a nut is 1, or 100%. This makes sense because if we choose two parts at random, we must get one bolt and one nut since there are three of each in the box.

To find the probability that one chosen part is a bolt and the other chosen part is a nut, we need to use the formula for probability:

Probability = (number of desired outcomes) / (total number of outcomes)

There are two ways we could choose one bolt and one nut: we could choose a bolt first and a nut second, or we could choose a nut first and a bolt second. Each of these choices corresponds to one desired outcome.

To find the number of ways to choose a bolt first and a nut second, we multiply the number of bolts (3) by the number of nuts (3), since there are 3 possible bolts and 3 possible nuts to choose from. This gives us 3 x 3 = 9 total outcomes.

Similarly, there are 3 x 3 = 9 total outcomes if we choose a nut first and a bolt second.

Therefore, the total number of desired outcomes is 9 + 9 = 18.

The total number of possible outcomes is the number of ways we could choose two parts from the box, which is the number of ways to choose 2 items from a set of 6 items. This is given by the formula:

Total outcomes = (6 choose 2) = (6! / (2! * 4!)) = 15

Putting it all together, we have:

Probability = (number of desired outcomes) / (total number of outcomes)
Probability = 18 / 15
Probability = 1.2

However, this answer doesn't make sense because probabilities should always be between 0 and 1. So we made a mistake somewhere. The mistake is that we double-counted some outcomes. For example, if we choose a bolt first and a nut second, this is the same as choosing a nut first and a bolt second, so we shouldn't count it twice.

To correct for this, we need to subtract the number of outcomes we double-counted. There are 3 outcomes that we double-counted: choosing two bolts, choosing two nuts, and choosing the same part twice (e.g. choosing the same bolt twice). So we need to subtract 3 from the total number of desired outcomes:

Number of desired outcomes = 18 - 3 = 15

Now we can calculate the correct probability:

Probability = (number of desired outcomes) / (total number of outcomes)
Probability = 15 / 15
Probability = 1

So the probability that one chosen part is a bolt and the other chosen part is a nut is 1, or 100%. This makes sense because if we choose two parts at random, we must get one bolt and one nut since there are three of each in the box.

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Answer: The number 26.5 in the equation represents the average number of pounds that a puppy weighs at 12 weeks of age.

To find the weight of a puppy at 20 weeks of age, we can substitute x = 20 into the equation:

y = 2.5x + 26.5

y = 2.5(20) + 26.5

y = 50 + 26.5

y = 76.5

Therefore, a puppy weighs approximately 76.5 pounds at 20 weeks of age.

The equation y = 2.5x + 26.5 represents a linear relationship between the number of weeks after a puppy's weight is first recorded and the puppy's weight in pounds. Since the coefficient of x is positive, this means that a puppy's weight increases over time. Specifically, the weight increases by 2.5 pounds for each additional week.

However, the equation does not tell us whether a puppy's weight increases during each of the 8 weeks. To determine this, we would need additional information such as the weights of the puppies at different points in time over the 8-week period.

Step-by-step explanation:

Required value of g'(3) is (-1/4).

We can start by using the formula for the derivative of the inverse function:

\((g⁻¹)'(x) = 1 / f'(g⁻¹(x))\)

We want to find \(g'(3)\), which is the derivative of g at \(x = 3\).

Since \(g(x) = f⁻¹(x)\), we have

\(g(15) = 3 \: and \: g(3) = 6\)

Therefore, we can find \(g⁻¹(3) = 6 \: and \: g⁻¹(15) = 3.\)

Now we can use the formula above with

\(x = 3 \: and \: g⁻¹(x) = 6\):\((g⁻¹)'(3) = 1 / f'(g⁻¹(3)) = 1 / f'(6)\)

To find f'(6), we can use the given information:

\(f'(3) = -8 \: and \: f'(6) = -2\)

We can use these values to estimate the average rate of change of f between \(x = 3 \: and \: x = 6:\) average rate of change of \(f = (f(6) - f(3)) / (6 - 3) = (3 - 15) / 3 = -4\)

Since f is differentiable, the instantaneous rate of change (i.e., the derivative) must be close to this average rate of change near x = 6. Therefore, we can estimate that f'(6) ≈ -4.

Using this estimate, we can find g'(3):

(g⁻¹)'(3) = 1 / f'(6) ≈ -1/4

Therefore, the value of g'(3) ≈ -1/4.

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Answer:

105

Step-by-step explanation:

The sum of the opposite interior angles of a triangle is equal to the exterior angle

25+80 = ?

105 = ?

Answer:

105

Step-by-step explanation:

The missing angle is supplementary to the missing inside angle of the triangle shown.

to find the missing angle in the triangle, set up your formula as

180=25+80+x

180-25-80=x

75=x

The missing angle is then 180-75=105

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(7,,1) and Q(5,7)

We have

\( |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...\)

We have the final answer as

Hope this helps you

Answer:

PQ=1.4 I think

Step-by-step explanation:

Answer:

15 flowers

Step-by-step explanation:

7+3=10

10+5=15

Answer:

15 flowers

Step-by-step explanation:

5 + 7 + 3 = 15

Answer:

A- 1/2K-1

Step-by-step explanation:

Answer:

1/2K-1

Step-by-step explanation:

Answer:

2267.96 grams

Step-by-step explanation:

Claculator

Answer:

I belive it's 2267.96 grams and 2268 grams rounded

Step-by-step explanation:

used calculator

Answer: Cos(33/65) or 0.99996

Step-by-step explanation:

Cos of an angle is described as

Cosine = adjacent / hypotenuse

where adjacent is the closest side to the angle so in this case adjacent is IH

Hypotenuse is the longest side of a right triangle ALWAYS

sooooo Cosine of angle h is cos(33/65) or decimal form 0.99996