Please help me with this question!!
P.S you need to sort it

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

$20

Step-by-step explanation:

2=10

4=20

Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Step-by-step explanation:

Hope this is right!!!!

Answer:

The dimensions are four by two by two meters.

Step-by-step explanation:

The volume for a rectangular prism is given by:

\(V=\ell wh\)

Where l is the length (or depth), w is the width, and h is the height.

Since the height and width are both two meters less than the depth, we can write that:

\(h=\ell -2\text{ and } w = \ell -2\)

We are also given that the total volume is 16 cubic meters. Substitute:

\(16=\ell(\ell -2)(\ell -2)\)

Expand:

\(16=\ell(\ell^2 -4\ell +4)\)

Distribute:

\(16=\ell ^3-4\ell ^2+4\ell\)

Isolate the equation. So:

\(\ell ^3-4\ell ^2+4\ell -16=0\)

We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:

\(\ell ^2(\ell -4)+4(\ell -4)=0\)

Factor:

\((\ell ^2+4)(\ell -4)=0\)

Zero Product Property:

\(\ell ^2+4=0\text{ or } \ell - 4=0\)

Solve for each case:

\(\ell^2=-4\text{ or } \ell =4\)

Since we cannot take the square root of a negative number, we can ignore the first case.

Therefore, the length (or depth) of the storage space is four meters.

Thus, the dimensions are four by two by two meters.

Answer:it is either graph a or b but i sure its a

Step-by-step explanation:

Answer:

The first or second graph

Answer:

one interior angle 135

one exterior angle 45

Step-by-step explanation:

Total measure of all angles in a 8 sided regular polygon = (n - 2)* 180

                   = ( 8 - 2 ) * 180

                   = 6 * 180

                   = 1080

Measurement of one interior angle = 1080 / 8 = 135

Interior angle and exterior angle make linear pair.

Measurement of one exterior angle = 180 - 135 =  45                                                                                      

Answer: Yes, they are independent, and 0.4444444...

Step-by-step explanation:

A: Yes, they are independent. in this situation, no matter what either gender takes, it will not effect the other gender.

B: 30/67.5=0.44444444444444444444444444444444444444 etc

            We can just do 30/65=6/13= approx 0.46

Answer:

See explanation

Step-by-step explanation:

For the first question, gender should be an independent variable, not affected by the number of people that take Spanish or french. Though it should be noted that women appear to take fewer courses of Spanish nd french, and both take less for french than Spanish, the women to a harsher degree.

For the second question, it would be 30/67.5 or 0.444, etc.

Answer:35457$

Step-by-step explanation:

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Answer:

See explanation

Step-by-step explanation:

We have that;

P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)

a) rate at which Glen Cove's population is changing with respect to time.

dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2

dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2

b)  population after 10 years

P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)

P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)

P(t) = 4100/184

P(t) = 22283

c) when t = 10

dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2

dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2

dP/dt = 13000/33856

dP/dt = 0.384

The mean of the sampling distribution of p is 0.45, (b) the standard deviation of p is 0.02, (c) yes, the Normal approximation can be used, and (d) the probability that more than half of the sample is in favour is 2.2523.

A) The mean of the sampling distribution of p is equal to the population proportion who favour giving vouchers to parents, which is 0.45.

B) The standard deviation of p can be calculated using the formula:

σ = √(p(1-p) / n)

where p = 0.45 and n = 500.

The standard deviation of p is approximately 0.02. This value represents the variability of the proportion of adults in samples of size n = 500 who favour the idea.

C) In order to use the Normal approximation for the distribution of p, the sample size n must be large enough such that np ≥ 10 and n(1-p) ≥ 10. For this problem, n = 500, p = 0.45, np = 500 * 0.45 = 225, and n(1-p) = 500 * (1-0.45) = 275, which are both larger than 10, so the Normal approximation can be used.

D) The probability that more than half of the sample is in favour can be found by subtracting the area under the standard normal curve to the right of z = 0.5 from 1.

z = (p - 0.45)/0.02

= (0.5 - 0.45)/0.02

= 2.2523

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Answer:

median

Step-by-step explanation:

because you have the smallest to the largest number and its one to five so once it counts from one to five its median

Answer:

Its Either B or C.

Step-by-step explanation:

So, the median and the interquartile range are the most appropriate measures to describe the center and the variation.The range is a measure of variability because it indicates the size of the interval over which the data points are distributed. A smaller range indicates less variability (less dispersion) among the data, whereas a larger range indicates the opposite.

Hope this helped!!!!

Answer:

false

Step-by-step explanation:

53 doesn't have the same value as 15. sorry if this is wrong or not helpful.

Answer:

  18 cubic inches

Step-by-step explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

The volume of a cone is given by ...

  V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  (cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

  3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

  cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.

Answer:

15

Step-by-step explanation:

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

Answer:

3 ⅙

Step-by-step explanation:

38 and 12’s common factor would be 2. Now the fraction is 19/6.

How many 6’s can fit into 19? 3. With a remainder of 1 we have:

3 ⅙

Answer:

m = 20.00 x (a/8)

m = money

a = apps

Forgive me if this is incorrect, I haven't worked with proportional relationships in a while.

Answer:

y=2.5

Step-by-step explanation:

Answer: 3x + 5y = 15

Step-by-step explanation:

Answer:

The maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

Step-by-step explanation:

We are given that weight P is inversely proportional to the distance D between the supports of the beam, and for this certain type of wooden beam, we have:

P = 7200/D

To find the distance between supports needed to carry 1600 lb, we can substitute P = 1600 in the above equation and solve for D:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

So the distance between supports needed to carry 1600 lb is 4.5 feet.

To find the maximum distance between supports for the beam to support a weight of 1600 lb, we can use the same equation and solve for P = 1600:

1600 = 7200/D

D = 7200/1600

D = 4.5 feet

Therefore, the maximum distance between supports for the beam to support a weight of 1600 lb is also 4.5 feet.

The surface area of the rectangular prism in this problem is given as follows:

A. 426 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.

The dimensions for this problem are given as follows:

5 m, 12 m and 9 m.

Hence the surface area of the prism is given as follows:

S = 2(5 x 12 + 5 x 9 + 12 x 9)

S = 426 m².

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The distance from the center of the Earth to the point where the net gravitational force is zero is one-ninth the distance from the Earth to the Moon.

Let's assume that the distance from the center of the Earth to this point is denoted as x.

Given:

Mass of the Moon (M\(_{moon}\)) = 1/81 × M\(_{earth}\)

Distance from Earth to Moon (d\(_{moon}\)) = distance on center

According to the principle of gravitational equilibrium, the gravitational force from the Earth and the gravitational force from the Moon acting on an object at that point must balance out. Mathematically, we can express this as:

F\(_{earth}\) = F\(_{moon}\)

The gravitational force between two objects can be calculated using Newton's law of universal gravitation:

F \(_{gravity}\)= G × (m₁ × m₂) / r²

Where:

G is the gravitational constant (approximately 6.67430 x 10⁻¹¹m²/kg/s²)

m₁ and m₂ are the masses of the two objects

r is the distance between the centers of the two objects

Considering the gravitational forces involved:

F\(_{gravity}\)\(_{earth}\) = G ₓ (M\(_{EARTH}\)  ₓ m\(_{OBJECT}\)) / (d\(_{earth}\))²

F\(_{gravity}\) \(_{moon}\) = G ₓ (M \(_{moon}\) ₓ m\(_{object}\)) / (d \(_{moon}\))²

Since we are looking for the point where the net gravitational force is zero, we set these two forces equal to each other:

G × (M\(_{earth}\) × m\(_{object}\)) / (d\(_{earth}\))²   =     G × (M \(_{moon}\) × m\(_{object}\)) / (d \(_{moon}\))²

Canceling out the common factors of G and m\(_object}\), and substituting the given values:

(M\(_{earth}\) × 1) / (d\(_{earth}\))² = (M \(_{moon}\) × 1) / (d \(_{moon}\))²

Rearranging the equation:

(d\(_{earth}\))²/ (M\(_{earth}\)) = (d \(_{moon}\))² / (M \(_{moon}\))

Taking the square root of both sides:

d\(_{earth}\) / √(M \(_{moon}\))) = d_moon / √(M \(_{moon}\))

Substituting the given values:

d\(_{earth}\) /√(M\(_{earth}\)) = d\(_{moon}\) / √(1/81 × M\(_{earth}\))

Simplifying further:

d\(_{earth}\)  / √(M\(_{earth}\)) =d\(_{moon}\)  / (1/9 × √(M\(_{earth}\)))

Multiplying both sides by √(M\(_{earth}\)):

d\(_{earth}\) = (1/9) × d\(_{moon}\)

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Answer:

24

Step-by-step explanat

Answer:

55%

Step-by-step explanation:

180-120=66

66/120 = 0.55

55%

Answer:

The probability is  \(P(X = 3) =  0.10575 \)

Step-by-step explanation:

From the question we are told that

    The  number of kittens  n  = 8

   The  probability that  n orange tabby kitten will be female q = 0.38

Generally the probability that  n orange tabby kitten will be male is mathematically represented as

     \(p = 1 -  q\)

=>   \(p = 1 -  0.38\)

=>   \(p =0.62\)

Generally the distribution of kitten  follows a binomial distribution  

i.e  

         \(X  \~ \ \ \  B(n , p)\)

and the probability distribution function for binomial  distribution is  

      \(P(X = r) =  ^{n}C_r *  p^r *  (1- p)^{n-r}\)

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

So  

Generally the probability that exactly three of the eight will be male is mathematically represented as

       \(P(X = 3) =  ^{8}C_3 *  (0.62)^3 *  (1- 0.62)^{ 8- 3}\)

=>   \(P(X = 3) =  56 *  (0.62)^3 *  (1- 0.62)^{ 8- 3}\)

=>   \(P(X = 3) =  0.10575 \)

9514 1404 393

Answer:

  28,728.15 g

Step-by-step explanation:

(11.5 gal) × (3.785 L/gal) × (1000 mL/L) × (0.66 g/mL) = 28,728.15 g

_____

That's 28,700 g rounded to 3 significant figures.

Answer: The book is right, it would break down to 3x = 3.

3x - 2 = 1 so add the 2 to the other side.

3x = 3 and then you can divide both sides by 3 to get x = 1.

Sorry if I misread what you were asking

Answer: The answer should be 3x = 3.

Step-by-step explanation:

Here's why:

3x -2 = 1

First one must isolate the 3x in order to solve the problem. So, then one must add 2 to both sides, since the 2 is negative. (So if it is a -2, add it to the other side because remember, you are doing it on both sides and you have to get it to the other side).

So doing that, you get:

3x = +2 +1

3x = 3

If you want to simplify further:

3x = 3

x = 1

Answer:

2

Step-by-step explanation: