(5,7) (8,13) find the distance between each pair of point . round to the nearest tenth

Answer: (1) The domain and range of figure is shown in option 3.  (2) The domain and range of the coordinate pairs is shown in option 2.

Explanation:

(1)

The values of x for which the function is defined are the domain of that function and range is the resultant values of the function at different value of x.

From The given figure it is noticed that the coordinates of the points are,

A coordinate pair is defined as (x,y).The values of x are -3,-3,-1,1,4. All sets contains only distinct elements so repetition of elements is not allowed.

Domain = {-3,-1,1,4}

The values of y are 1,-4,1,-1,4.

Range = {-4,-1,1,4]

So the correct option is third.

(2)

The given coordinates are,

The values of x are -4,-4,-3,1.

Domain = {-4,-3,1}

The values of y are 3,4,1,1.

Range = {1,3,4}

Therefore the correct option is (2).

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

Hence, Second option is correct.

6 hours is the amount of time

Answer:

Question 1:

The answer is going to be A

Question 2:

The answer is A

I hope this helps

If two cuboids are similar, it means they have the same shape but can be different in size. The ratio of the corresponding sides of similar objects is the same.

Let's denote the dimensions of cuboid A as follows:

Length of A: L_A

Width of A: W_A

Height of A: H_A

Let's denote the dimensions of cuboid B as follows:

Length of B: L_B

Width of B: W_B

Height of B: H_B

We know that the volume of a cuboid is given by:

Volume = Length × Width × Height

For cuboid A, we have:

Volume of A = L_A × W_A × H_A = 500 cm³

We're also given that the surface area of A is 15 cm². The formula for the surface area of a cuboid is:

Surface Area = 2(L × W + W × H + H × L)

So, for cuboid A:

2(L_A × W_A + W_A × H_A + H_A × L_A) = 15 cm²

Now, let's consider cuboid B. Since the cuboids are similar, their corresponding sides are proportional. Therefore, we can write:

(L_B / L_A) = (W_B / W_A) = (H_B / H_A)

Now, let's consider the surface area of cuboid B:

2(L_B × W_B + W_B × H_B + H_B × L_B) = 27 cm²

We have a system of equations to solve:

L_A × W_A × H_A = 500

2(L_A × W_A + W_A × H_A + H_A × L_A) = 15

2(L_B × W_B + W_B × H_B + H_B × L_B) = 27

L_B / L_A = W_B / W_A = H_B / H_A

We need to solve this system of equations to find the volume of cuboid B. Since the equations are somewhat complex, you may want to use a calculator or a symbolic math software to find the values of L_B, W_B, and H_B that satisfy all of these conditions. Once you have those values, you can calculate the volume of cuboid B using the formula for the volume.

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.

What are Scaled figures?

Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

So, if a side of a figure is of length L units, and that of its similarfigure is of M units, then:

where 'k' will be called a scale factor.

The linear things grow linearly like length, height etc.

The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²

to get each other corresponding quantities from their similar figures' quantities.

So the area of the first figure = k² × the area of the second figure

Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or

The volume of the first figure = k³ × volume of the second figure.

It is because we will need to multiply 3 linearquantities to get volume, which results in k getting multiplied 3 times, thus, cubed.

Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,

Diameter of sphere B = 3 × Diameter of sphere A

                                    = 3 × 2 units

                                    = 6 units

Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,

Hence, the correct option is D.

Learn more about Scale Factors:

brainly.com/question/11178083

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Answer:

1:27

Step-by-step explanation:

I will use solve in terms of pi

Know that Original volume * scale factor cubed = new volume.

The scale factor is 3 and 3^3 is 27,

Therefore the ratio is 1:27

Answer:

Option D.

Step-by-step explanation:

To look for gold and trap for furs, is the right answer.

The French initially came to the United States as explorers, who were trying to find a route to the Ocean and resources. The French finally attempted to build some colonies throughout North America that abandoned, due to various reasons such as disease, weather or struggle with other European authorities. Though during the course of time, they established colonies in the Americas, their initial motive was to look for gold and trap for furs.