How many integers are there between 1 and 1000 that are divisible by 3 and 5?

The price of a watermelon at a fruit stand goes up 7 cents each month. The first month the stand was open, a watermelon cost $1. 25, then the cost of a watermelon in the 30th month will be $4.45

In the 30th month, the cost of watermelon will be $4.45.

To calculate this, you must multiply the initial cost of $1.25 by the number of months since the stand opened (30). That gives us $37.50. Then, add the total amount of cents that have been added each month

7 cents x 30 months = 210 cents

This brings the total up to $4.45.

Therefore, after 30 months, the cost of a watermelon at the fruit stand will be $4.45.

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After 9 minutes, the submarine will be at a depth of +91 feet below sea level.

Expression in math is a combination of numbers, symbols, and operations that represents a value or a mathematical relationship. It is written in a symbolic form, and can be evaluated to produce a numerical value or a logical result. Expressions are used to represent mathematical equations, and can range from simple equations like 2+2 to complex equations involving multiple operations, variables, and functions.

This is calculated by subtracting 9 from the initial depth of 370 feet and then adding the change of 13 feet per minute for 9 minutes. Therefore, the expression -370+13m = +91.

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An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

A figure called an angle is one in which two rays originate from the same point. The two rays that make up the angle are referred to as its arms or sides, and this point is known as the angle's vertex. Reflex angles are those that are higher than 180 degrees but smaller than 360 degrees.

Types of Angles

Acute Angle – an angle that measure less than 90 degrees.

Right Angle – an angle which is exactly at 90 degrees.

Obtuse Angle – an angle whose value is greater than 90 degrees and less than 180 degrees.

Straight Angle – an angle which is exactly at 180 degrees.

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The vertex angle of isoceles triangle is twice either base angle is a true statement. Isosceles triangle is a triangle which has two sides of equal length or value.

What is isosceles triangle in detail?

Isosceles triangle is a triangle that has two side of same value. It is mean that isosceles triangle has to fulfill this condition :

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The dataset is quantitative and continuous.

Quantitative data is gathered by measuring and counting. Qualitative data is collected by interviewing and observing. Quantitative data is analyzed using statistical analysis, while qualitative data is analyzed by grouping it in terms of meaningful categories or themes. Quantitative data is anything that can be counted or measured; it refers to numerical data. Qualitative data is descriptive, referring to things that can be observed but not measured—such as colors or emotions.

Discrete data and continuous data are both types of quantitative data. The main difference between them is the type of information they represent. Discrete data typically only shows information for a particular event, while continuous data often shows trends in data over time. The type of data that has clear spaces between values is discrete data. Continuous information is information that falls into a continuous series. Discrete data is countable. Continuous data is measurable. There are distinct or different values in discrete data.

Given that the data set "Distance a baseball travels after being hit" has been provided.

Considering that numbers can be used to express it.

Therefore, the data set must be quantitative.

Since a baseball will move in an uninterrupted curve after being hit,

It would therefore be a continuous function.

Thus, the dataset is quantitative and continuous.

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Answer:

quantitative, continous

The initial value of A is 3, The initial value of B is 2.25 and club B has a greater rate of change.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The graph of club A and the values of club B is given,

Calculate the initial value of A and B as shown below,

The initial value of A = 3,

The initial value of B = 2.25

Hence, A has a greater initial value,

Calculate the rate of change as shown below,

The rate of change for club A = 3.75 / 2.25

The rate of change for club A = 1.67

The rate of change for club B = 4 / 3

The rate of change for club B = 1.33

Thus, the rate of change is higher for club B.

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The solution to the system of equation is x = 2 and y = 5

From the question, we have the following parameters that can be used in our computation:

5x-y=5 -x+3y=13

Express properly

5x - y = 5

-x + 3y = 13

Multiply -x + 3y = 13 by 5

-5x + 15y = 65

Add the equations 5x - y = 5  and -5x + 15y = 65

14y = 70

Divide by 14

y = 5

So, we have

-x + 3 * 5 = 13

Evaluate

x = 2

Hence, the value of x is x = 2 and the value of y is y = 5

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The upper half of data is the set above the median is 25,26,28,30 so,The median for the upper half of data  is 25,26,28,30 the upper or third quartile. In this case, the third quartile is 27.

To calculate the interquartile range (IQR), first compute the median (middle value) of the data’s lower and upper halves. These are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The IQR is the difference between quarters three and one.

The first quartile (Q1) is also known as the lower quartile. The second quartile, 50th percentile, or Median is denoted as: The second quartile (Q2) equals the ((n+1)/2)th term. The third quartile of the 75th percentile (Q3) is denoted as follows: The third quartile (Q3) is also known as the upper quartile. The interquartile range, which is a measure of variability around the median, is calculated using quartiles.

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Applying the slope formula calculated from the points, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] , The answer is undefined.

The slope of a line is a number that describes the steepness of the line and the direction in which it is sloping. It is often represented by the letter "m" and is calculated as the ratio of the change in the y-coordinate (rise) to the change in the x-coordinate (run) between two points on the line. The slope can be positive, negative, zero or undefined. A positive slope indicates that the line is rising from left to right, a negative slope indicates that the line is falling from left to right, a slope of zero indicates that the line is horizontal and an undefined slope indicates that the line is vertical.

The intercepts of a line are the points at which the line crosses the x-axis and y-axis. A line can have zero, one, or two intercepts, depending on its slope and the position of the line in the coordinate plane. The x-intercept of a line is the point at which the line crosses the x-axis. It is the point at which the y-coordinate is equal to zero. The y-intercept of a line is the point at which the line crosses the y-axis. It is the point at which the x-coordinate is equal to zero.

(x1,y1) = (6,-8)

(x2,y2) = (6,-3)

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

m=undefined (The points lie on vertical line.)

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The simplification of the expression using laws of exponents is 2 × 3³ × 5

Laws of exponents state that exponents of numbers or expressions are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent e.tc. That is:

mᵃ × mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

(mᵃ)ᵇ = mᵃᵇ

Note: The bases must be the same e.g. mᵃ and mᵇ have the same base

Given: (2⁵ × 3⁴ × 25²) / (3 × 16 × 5⁴)  

(2⁵ × 3⁴ × 25²) / (3 × 16 × 5⁴)  = (2⁵ × 3⁴ × (5²)²) / (3¹ × 2⁴ × 5⁴)

                                               = (2⁵ × 3⁴ × 5⁴) / (3¹ × 2⁴ × 5⁴)

                                               = 2⁵⁻⁴ × 3⁴⁻¹ × 5⁴⁻⁴

                                               = 2¹ × 3³ × 5¹

                                               = 2 × 3³ × 5

Thus, the expression simplifies to 2 × 3³ × 5

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d. dV/dt = -0.15V³ is a differential equation that could describe the relationship between the rate of change of the volume V with respect to time t of water leaking from a tank, and the cube of the volume.

A differential equation is an equation that relates a function and its derivatives. In this case, the function is the volume V of water in the tank, and the variable is time t. The problem states that the rate of change of the volume V with respect to time t is proportional to the cube of the volume. This means that the rate at which the volume is changing is directly proportional to the cube of the volume, and the proportionality constant is a negative number.

The differential equation that describes this relationship is dV/dt = -0.15V³, where dV/dt represents the rate of change of the volume with respect to time, and -0.15V³ represents the proportionality constant times the cube of the volume. The negative sign indicates that the volume is decreasing over time, as water is leaking out of the tank. This differential equation can be used to model the behavior of the water leaking from the tank, and can be used to determine the volume of water remaining in the tank at any given time.

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Answer:

The slope of the line is -2. (m = -2)

Equation systems that have the same solution are referred to as comparable systems. The similar expressions are -3(-0.05 + 0.25p) and 0.15 - 0.75p.

Thus, conceptually speaking, an equation is composed of two expressions. The equal sign establishes the equality of the two sides of the equation as expressions. A mathematical phrase called an equation is used to illustrate the relationship between two or more variables and numbers.

As a result:

The expression is simplified to: = -3(0.15 - 0.2 + 0.25p)

A further simplification results in:

= 0.15 – 0.75p

The similar expressions are -3(-0.05 + 0.25p) and 0.15 - 0.75p.

Equation systems that have the same solution are referred to as comparable systems. A system of two equations can be made into an equivalent system by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.

Therefore the correct answer is option B) 0.15 – 0.75p .

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The cost of 2 specials and 2 glasses of milk is $16

The first step is to determine the price of a special and a glass of milk.

The elimination method would be used to solve the given system of equations :

4s + 2m = 28 equation 1

3s + 4m = 26.25 equation 2

Where:

Multiply equation 1 by 2

8s + 4m = 56 equation 3

Subtract equation 2 from equation 3:

5s = 29.75

Divide both sides of the equation by 5

s = 29.75 / 5

s = $5.95

Substitute for s in equation 1:

4(5.95) + 2m = 28

23.8 + 2m = 28

2m = 28 - 23.8

2m = 4.2

m = 4.2 / 2

m = $2.10

Cost of 2 specials and 2 glasses of milk = (2 x 2.10) + (2 x 5.95)

= $4.10 + 11.90 = $16

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The three points that are in the solution set are E(3,0) F(5,-4)

Plotting graphs?

When plotting graphs, you typically use a set of Cartesian coordinates to specify the location of each point on the graph. The Cartesian coordinates, also known as rectangular coordinates, consist of an x-coordinate and a y-coordinate. The x-coordinate specifies the position of the point along the horizontal axis, also known as the x-axis, and the y-coordinate specifies the position of the point along the vertical axis, also known as the y-axis.

To determine which of the six points are a solution to the equation

2x + y = 6, we can substitute the x and y values of each point into the equation and see if it holds true.

The points are A (1, -6), B (7, -3), C (-1, 8), D (3, -5), E (3, 0), F (5, -4)

A = (1, -6), 2x+y = 21 + -6 = 6 , it is not a solution

B = (7,-3) , 2x+y = 27 + -3 = 6 , it's not a solution

C = (-1,8) , 2x+y = 2*-1 + 8 = 6 , it's not a solution

D = (3,-5) , 2x+y = 23 + -5 = 6 , it is not a solution

E = (3,0) , 2x+y = 23 + 0 = 6, it's a solution

F = (5,-4) , 2x+y = 2*5 + -4 = 6, it's a solution

So, the three points that are in the solution set are E(3,0) F(5,-4)

We can plot the points on a coordinate plane, with x on the horizontal axis and y on the vertical axis.

And connect all three points, which would result in a line.

You can label this line as 2x+y=6, and any point that lies on that line is a solution for the given equation.

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Answer: For a lower tail test, the p-value is the probability of obtaining a value for the test statistic as small as or smaller than that provided by the sample. For an upper tail test, the p-value is the probability of obtaining a value for the test statistic as large as or larger than that provided by the test statistic.

Step-by-step explanation:

Here is a set of directions on how to walk from the schoolhouse to the grocery store: walk 5 units west and 12 units north.

To travel from the schoolhouse to the grocery store, find the distance between each point horizontally and vertically.

To find the horizontal distance between the schoolhouse and the grocery store on a coordinate plane, find the difference between the x-values of the two points.

x-distance = |4 - (-1)| = 5

Since the direction is from right to left, it should be 5 units west.

To find the vertical distance between the schoolhouse and the grocery store on a coordinate plane, find the difference between the y-values of the two points.

y-distance = |-5 - (7)| = |-12| = 12

Since the direction is upwards, it should be 12 units north.

Hence, one should walk 5 units west and 12 units north to get to the grocery store from the schoolhouse.

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The new co-ordinates of A' and B' will be A'(-6,15) and B'(-24,-3) respectively.

Coordination is the process of combining individual efforts for a common purpose. It involves the synchronization and integration of activities, resources, and decision-making to achieve a desired outcome. This process is essential for many activities, such as project management, team building, and problem solving. Coordination requires communication, collaboration, and understanding among all participants. It can involve the use of technology, such as project management software, to ensure everyone is on the same page. Coordination is an important part of any successful endeavor, as it ensures that all goals are met in a timely and efficient manner.

The distance between A' and B' will be the length of the line segment AB' which can be calculated by using the distance formula, i.e. distance = √((x2-x1)² + (y2-y1)²). Therefore, the distance of A'B' will be 30 units.

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Answer:10

Step-by-step explanation:

20/100x98

20/100=0.2

0.2x98=10

Answer: 10

Step-by-step explanation: 20 percent of 50 can be written as

20% x 50= 20/100 × 50= 10

Answer: 35 in tall

Step-by-step explanation: 9 x 7 = 63, so therefore 5 x 7 = 35

Answer:

The answer would be 2 1/2 of a chicken for 6.25

The measure of one of the other angles in the kite is equal to 101°

A kite is a quadrilateral which implies the sum of its interior angles is equal to 360°.A kite is symmetrical about its main diagonal and the angles where the adjacent pairs of sides meet are equal. It can be viewed as a pair of congruent triangles with a common base.

Considering one of the congruent triangles which consists of half the angles 50° and 108°, and one of the other angles in the kite.

Let x represent one of the other angles so that we evaluate for its measure as follows:

x + 54° + 25° = 180° {sum of interior angles of a triangle}

x + 79° = 180°

x = 180° - 79° {subtract 79° from both sides}

x = 101°

Therefore, the measure of one of the other angles in the kite is equal to 101°

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The statement when the blanks are completed is

From the question, we have the following parameters that can be used in our computation:

∆ABC has A(-2, 5), B(-4, -2), and C(3, -4) as its vertices

The lengths are then calculated as

length = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, we have the following representations

AB = √[(-4 + 2)² + (-2 - 5)²] = √53

AC = √[(3 + 2)² + (-4 - 5)²] = √106

BC = √[(3 + 4)² + (-4 + 2)²] = √53

This means that the triangle is a right triangle

Because  √106 =  √53√2

So, we have

<ABC = 90 degrees (right angle)

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The 2nd relation is a function out of the given graph function.

The set of ordered pairs (x, y) where f(x)=y makes up a function's graph in mathematics. These pairs, which are Cartesian coordinates of points in two-dimensional space and thus constitute a subset of this plane in the typical case where x and f(x) are real numbers, are examples of real numbers.

Instead of the pairs ((x,y),z) as in the definition above, the graph in the context of functions of two variables, i.e. functions whose domain consists of pairs (x,y), typically refers to the set of ordered triples (x,y,z) where f(x,y)=z. For a continuous real-valued function of two real variables, this set is a surface. It is a subset of three-dimensional space.

Graphs are useful tools for a variety of tasks in science, engineering, technology, finance, and other fields.

A Set of points in a plane is the graph of a function if & only if no vertical line intersects the graph in more than one point

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The required length of the truck if it is 15% longer than the car is  6.325ft

Given the following parameters in the question below

Length of car = 5.5 feet

If the truck is 15% longer than the length of the car, therefore the length of the truck is expressed as:

Length of truck = (100% + 15%) of 5.5ft

Length of truck = 115% of 5.5ft

Length of truck = 1.15 * 5.5

Length of truck = 6.325ft

Hence the required length of the truck if it is 15% longer than the car is  6.325ft.

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All the prime factors of 80 in ascending order will be;

⇒ 2, 2, 2, 2, 5

The numbers arrange in order to least to greatest number is called Ascending order.

Given that;

The number is,

⇒ 80

Now,

The number 80 is written as a product of prime factors as;

⇒ 80 = 2 × 2 × 2 × 2 × 5

Thus, The ascending order of prime factors of 80 are,

⇒ 2, 2, 2, 2, 5

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The equation that allows Ivanna to take the square root of both sides to find the value of x is ax² + bx + c = 0.

This is known as the standard form of a quadratic equation, and it can only be solved by taking the square root of both sides. After taking the square root, Ivanna would be left with two equations, one containing the positive root of the equation and one containing the negative root. The positive root would be the value of x that Ivanna is looking for.

Therefore Ivanna have to take the square root of both sides to find the value of x is ax² + bx + c = 0.

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Answer: 3

Step-by-step explanation:

I do not have time to explain but next time GET YOU A CALCULATOR and read.

Answer:

The last option #4

Step-by-step explanation:

We are subtracting 8 from each number each time. 6-8=-2 -2-8=-10, and -10-8=-18. To find out that you subtract 8 subtract any 2 terms for example 30-22 from the sequence, and you will find your answer of 8. Then subtract 8 from 6, and the next terms after that and you will have your answer.

-Hope this helped & Happy New Year!