a portion of a map with cites A and B is shown. The map uses a scale of 1 inch to 30 miles a new map has a scale of 2 inches = 15 miles. how far apart are cites A and B on the new map?

The first step is to recall the equation for an arithmetic sequence: an = a1 + (n - 1)d, where a1 is the first term, an is the nth term, and d is the common difference.

Given the sum of three consecutive terms of the sequence, we know that a3 + a2 + a1 = 6. We can also recall that the product of the terms is a1 x a2 x a3 = -42.

Now, using the two equations, we can solve for the three terms:
a3 = (6 - a2 - a1)/2,
a2 = 6 - a1 - 2a3,
a1 = 6 - a2 - 2a3

Substituting the second and third equation into the first, we get:
a3 = -14/2 = -7

Therefore, the three consecutive terms of the arithmetic sequence are: a1 = -5, a2 = 2, a3 = -7.

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Ms. Yamagata needs to buy at least 2628 6-inch tiles to cover the floor of her rectangular bathroom.

To determine the least number of 6-inch tiles Ms. Yamagata needs to buy to cover her 9 feet long and 73 feet wide bathroom floor, follow these steps:

1. Convert the dimensions of the bathroom to inches, as the tiles are measured in inches:
  9 feet * 12 inches/foot = 108 inches long
  73 feet * 12 inches/foot = 876 inches wide

2. Determine the total area of the bathroom in square inches:
  Area = length * width = 108 inches * 876 inches = 94,608 square inches

3. Calculate the area of a single 6-inch tile:
  Area = length * width = 6 inches * 6 inches = 36 square inches

4. Divide the total area of the bathroom by the area of a single tile to find the least number of tiles needed:
  Number of tiles = total area / tile area = 94,608 square inches / 36 square inches ≈ 2,628.56

Since Ms. Yamagata cannot buy a fraction of a tile, she needs to buy at least 2,629 6-inch tiles to cover her bathroom floor.

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Answer:

the last one is right by look at the chart

Answer:

C

Step-by-step explanation:

those are the x intercepts of the graph

Answer:

D 30 square units

Step-by-step explanation:

count all the squares inside the triangle including the non full squares

Answer:

C. 25

Step-by-step explanation:

count the squares inside and the take two half ones and turn it into one

Answer:

6960

Step-by-step explanation:

Answer:

lindsey = x = 19

logan = x + 2 = 21

Step-by-step explanation:

lindsey =x

logan = x + 2

-------

5 yrs back

lindsey = x - 5

logan = x + 2 - 5 = x - 3

~~~~~~~~~~

x- 5 + x - 3 = 30

x + x - = 30 +5 +3

2x = 38

x = 38/ 2 = 19

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

Volume of A /Volume of B =  ( a / b )^3

a is the radius of solid A and b is the radius of solid B.

solid figures

In Geometry, the shape or the figure that has three dimensions (length, breadth and height), are known as solids or three-dimensional shapes. Example:-Cube, Cuboid and Sphere. The major types of solid shapes are: cubes, cuboids, prisms, pyramids, platonic solids, torus, cone, cylinder, and sphere.

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Answer:

1. is the answer

Step-by-step explanation:

The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

The number of batch recipe calls for 1 / 2 lb of flour = 1 batch

And to calculate the number of batches , we use

The number of batch recipe calls for 1 lb of flour will be

1 / 2 lb of flours = 1 batch

Multiplying by 2 on both sides , we find the number of batches for 1 lb of flour

Therefore , 1 / 2 x 2 = 1 x 2

1 lb of flour = 2 batches

3 / 4 lb of flour is 1 x 3 / 4 = 2 x 3 / 4

                                          = 3 / 2 batches

                                          = 1.5 batches

1 / 4 lb of flour is 1 x 1 / 4 = 2 x 1 / 4

                                        = 1 / 2 batches

                                        = 0.5 batch

Hence ,  The number of batches that can be made with 1 lb , 3 / 4 lb and 1 / 4 lb are 2 batches , 1.5 batches and 0.5 batch respectively

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Answer:

Mean=30

Median=30.5

Mode=None

Range=11

Step-by-step explanation:

The mean is all the numbers added together then divided by how many numberes there are.

24+28+33+35=120

120/4=30

Median is the the middle of the data set when arranged least to greatest. Since its a even number the median will consist of two numbers. 28 and 33

28+33=61

61/2=30.5

Mode is the number most seen in the data set. Theyre all seen once so no mode

Range is the highest value subtracted from the lowest.

24-35=11

Equation to represent the relationship between a and b is b = -2a

On a number line, if a number b is located the same distance from 0 as another number a, but in the opposite direction, and the number b differs directly with the number a, it means that as a increases, b also increases, and as a decreases, b also decreases in the same manner.

To represent this relationship, we can use the equation b = -ka, where k is a constant of proportionality. Since b and a are in opposite directions, we include a negative sign in the equation.

To find the value of k, we can use the given example b = 8 when a = 4. Plugging these values into the equation, we get 8 = -k * 4. Solving for k, we divide both sides of the equation by -2, which gives us k = -2.

Therefore, the equation that represents the relationship between a and b is b = -2a.

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Answer:

Joel’s is the 28

Step-by-step explanation:

For the one is me cause Zyou KNOW ULTRA,,,!,,,,,,292

The measure of line 1 is approximately 85.05.

To find the measure of line 1, we need to use the principles of trigonometry. In particular, we'll use the tangent function which relates the opposite side to the adjacent side of a right triangle.

Let's denote the measure of line 1 by x. Then, from the figure below, we can see that:

x/tan(80°) = 15 (1)

Here, tan(80°) is the tangent of 80 degrees.

We're given that the letters are slanted at an 80° angle.

Also, 15 is the length of line 2, which is the hypotenuse of the right triangle formed by lines 1, 2, and 3.

Therefore, to find x, we'll solve for x in equation (1).

First, we'll evaluate tan(80°) using a calculator:

tan(80°) ≈ 5.67

Substituting tan(80°) and 15 into equation (1), we get:

x/5.67 = 15

Multiplying both sides by 5.67, we have:

x = 5.67 × 15x = 85.05

Therefore, the measure of line 1 is approximately 85.05.

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This a question about perimeter and equation, let's see how to solve that:

The perimeter of a rectangle is the sum of its 4 sides. In this case, we know that the perimeter is 118. We can do an equation with these datas:

\(\boxed{AB + BC + CD + DA = 118}\)

We also know other informations: the side AB is equal to \(4y+3\) and de side BC is equal to 3y. In a recltangle, parallels sides have the same value. So, the side CD is equal to \(4y+3\) and the side DA is equal to 3y.

Now, we have these datas:

\(AB + BC + CD + DA = 118\\\\AB = CD = 4y + 3\\BC = DA = 3y\)

Let's do and solve an equation:

\(AB + BC + CD + DA = 118\\\\4y+3 + 3y + 4y+3 + 3y = 118\\14y + 6 = 118\\14y = 118 - 6\\14y = 112\\y = \frac{112}{14} \\y = 8\)

So, the value of y is 8. Let's replace the value of y in the side AB:

\(4y + 3\\4\times 8 + 3 = 35\)

Therefore, the length of side AB is 35.

Answer:

0.075 is less

Step-by-step explanation:

It is 0.075 because 0.96 is closer to 1 and so is greater

To find the particular solution of the given differential equation y(9x - 2y)dx - x(6x - y)dy = 0, we can use the substitution x = vy.

Let's begin by differentiating both sides of the equation with respect to x to obtain dx in terms of dy:

dx = (1/v + vdy)dy.

Now we substitute the expressions for dx and x in the original equation:

y(9vy - 2y)((1/v + vdy)dy) - (vy)(6vy - y)dy = 0.

Simplifying the equation:

y(9v - 2y)(1/v + vdy)dy - (vy)(6v^2 - y)dy = 0.

Expanding and collecting like terms:

(9v^2y - 2y^2 + 9vy^2dy - 2y^3dy) / v + (6v^3y - vy^2)dy = 0.

Now we can separate the variables and integrate:

(9v^2y - 2y^2) / v + (6v^3y - vy^2) = C,

where C is the constant of integration.

Finally, substituting x = vy, we get:

(9x - 2y^2) / x + (6x^2 - xy) = C.

Given the initial condition x = 1 and y = 1, we can substitute these values into the equation and solve for the constant C.

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The volume of the composite figure is equal to 860.6 cubic meters to the nearest tenth

The composite figure is a cuboid with a cylinderical open space within, so the volume is derived by subtracting the volume of the cylinderical open space from the volume of the cuboid as follows:

Volume of cuboid = length × width × height

Volume of the cuboid = 10m × 10m × 12m

Volume of the cuboid = 1200m³

Volume of cylinder is calculated using:

V = π × r² × h

Volume of the cylinder = 22/7 × (3m)² × 12m

Volume of the cylinder = 339.4m³

Volume of the composite figure = 1200m³ - 339.4m³

Volume of the composite figure = 860.6 m³

Therefore, the volume of the composite figure is equal to 860.6 cubic meters to the nearest tenth

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Answer:

60 for both

Step-by-step explanation:

Since these angles are parallel, they are equal to each other :

6x = 5x + 10

Subtracting 5x from both sides gives us :

x = 10

Substituting this value back into both angles gives us

6x = 60

5x+10 = 60

Answer:

D. Normality of the estimator (e.g., sample mean)

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The question was incomplete. Check below the complete question.

Which of the following is the necessary condition for creating confidence intervals for the population mean? A. Known population parameter B. Normality of the population C. Known standard deviation of the estimator D. Normality of the estimator (e.g., sample mean)

The required value of k in terms of v is k = (13m - A) / b.

The meaning of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' symbol.

we can manipulate the given equation to find possible values of k and m.

First, we can multiply both sides by m to get:

A + kb = 13m

Next, we can rearrange the equation to isolate k:

kb = 13m - A

k = (13m - A) / b

Since k and m are both integers, 13m - A must be divisible by b.

Therefore, we need more information about the values of A and b to solve for k and m.

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Given:

The function

Required:

Find the equation of the tangent at f(x) at x=0.

Explanation:

The slope of f(x),

Now, the slope of function at x = 0 is f'(x) = 2.

The line with slope m = 2 and passing through (0, 0).

Answer:

Equation of tangent of the function at x = 0, f(x) = 2x.

Answer:

Least:0.078

In between: 0.78

Greatest: 8.7

Step-by-step explanation:

Answer:

Hello yeily, I think and believe they are all rational..

Step-by-step explanation:

Hope it helps <=/

Answer:

3

Step-by-step explanation:

6x2/3

Answer:

9

Step-by-step explanation:

3 shirts per 1/3 hour so 9 shirts per hour

Answer:

\(m = \boxed 7\)

Combine like terms

\(21=33\cdot \mathrm{m}-21-27\cdot \mathrm{m}\)

Group like terms

\(21=\left(33\cdot \mathrm{m}-27\cdot \mathrm{m}\right)-21\)

Simplify the arithmetic

\(21=6\cdot \mathrm{m}-21\)

Swap sides

\(6\mathrm{m}-21=21\)

When the person is 42 feet away from the jetski, the sound intensity is approximately 87.1 decibels.

To answer this question, we need to use the inverse square law of sound intensity, which states that the intensity of a sound decreases with the square of the distance from the source.
1. Identify the initial distance (D1) and initial decibel level (L1): In this case, D1 = 12 feet and L1 = 100 decibels.
2. Identify the final distance (D2): In this case, D2 = 42 feet.
3. Calculate the ratio of the initial distance to the final distance: \(R = (D1 / D2)^2\)

\(= (12 / 42)^2\)

\(= (2 / 7)^2\)

\(= 4 / 49.\)
4. Convert the initial decibel level to intensity (I1): The intensity of a sound is proportional to \(10^(L1/10).\)

\(So, I1 = 10^(100/10) = 10^10.\)
5. Calculate the final intensity (I2) using the ratio of distances: I2 = I1 * R

\(= 10^10 * (4 / 49).\)
6. Convert the final intensity back to decibels (L2): L2 = 10 * log10(I2) = \(10 * log10(10^10 * 4 / 49).\)
7. Calculate the final decibel level: L2 ≈ 10 * (10 - log10(49/4)) = 10 * (10 - 1.29)

= 87.1 decibels.

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With the help of the figure we can say that triangles are congruent by SAS Rule

What is Congruence of Triangle?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.

In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.

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