The range of temperatures on a particular day could be described as |x-68|<=9. How many integer values are included in this range?

Answer:

yes

Step-by-step explanation:

Therefore , the solution of the given problem of arithmetic mean comes out to be a5 = 3334.

The group's arithmetic average, often known as the mean, is calculated by multiplying the sum of all the entries in a list by the number of products in that list, then dividing that sum by both. This follows the same mathematical development. The number 3 is the median of the numbers 9, 11, and 7. For instance, the number 7 is obtained by dividing 21 (there are actually three numbers) by the equation 5 + 7 + 9.

Here,

It speaks about sequences where every other term is provided as a rule but needs on a number of the preceding terms, as opposed to implicit series where an expression.

The order is as follows: 

The order is as follows:

=> a1 = 6

=> an= -5a(n-1) + 4

To calculate the value of a5, follow these steps:

=>  a2= -5(6) + 4 = -26

=> a3= -5(26) + 4 = 134

=> a4= -5(134) + 4 = -666

=> a5= -5(-666) + 4 = 3334.

Therefore , the solution of the given problem of arithmetic mean comes out to be a5 = 3334.

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Answer: 6

Step-by-step explanation: Very simple, just do 17 - 11 and you'll get 6. I hope that's the correct answer

The truth values of the statements are:

The complete question is added as an attachment, where we have the following parameters:

Height, h = 2.5 feet

Diameter, d = 4

The base area is then calculated as

Area = п(r²)

So, we have

Area = п(2²)

The volume is then calculated as

Volume = Base area * Height

So, we have

Volume = п(2²) * 2.5

Evaluate

Volume = 31.4

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A real function, usually referred to as a real-valued function, is one whose domain is the real numbers.  A function from complex numbers to complex numbers is referred to as a complex function.

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Answer:

Yes because it is a scalene triangle

Step-by-step explanation:

In order to determine the volume of the cuboid, we would need to know its length, width, and height in centimeters.

The volume of a cube is given by the formula:

V = s^3

Where V is the volume and s is the length of one side of the cube.

Since this cuboid is made up of centimeter cubes, it means that the length, width, and height are in centimeters.

It is not mentioned the dimension of the cuboid, so it is not possible to determine the volume of the cuboid.

In order to determine the volume of the cuboid, we would need to know its length, width, and height in centimeters.

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Answer:

After 5 minutes, Gordon and Erik will each have run 10 laps

Step-by-step explanation:

Let L =lap, M=minute, G=gordon, E=Eric

G=(1L*M)+5

E=(2L*M)+5

Answer:

After 5 minutes, Gordon and Erik will each have run 10 laps

Step-by-step explanation:

Gordon already completed 5 laps and each lap is completed in 1 minute

5 + 5 = 10

Eric completes a lap in 2 minutes

2 x 5 = 10

So after 5 minutes, Gordon and Erik will each have run 10 laps

Hope you get this right :)

If solving an equation provides a statement that is true for a single value of the variable, such as x = 3, the problem has one solution. If solving an equation provides a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

If solving an equation provides a statement that is true for a single variable value, such as x = 3, the problem has a single solution. If solving an equation produces a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.

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The solution to the expression 2x²-x will be 45.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 2x²-x. The solution of the expression at x= 5 will be calculated as,

E = 2x²-x

E = 2 x ( 5 )² - 5

E = 2 x 25 - 5

E = 50 - 5

E = 45

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Answer:

The expression (1/3) to the power of 2x(−10÷14) is equal to (1/3)^(-5/7).

Step-by-step explanation:

Calculating this expression in general will give you a decimal value as an outcome, However, since i do not have the ability to perform calculations, i can give you this hint. It will be a small number close to zero but not zero.

It's important to note that the order of operations (PEMDAS) should be followed when evaluating this expression: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

The solution to the system of equation is as follows:

x = 2 and y = 4

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's solve the system of equation using elimination method as follows:

11x - 5y = 2

x - 5y = -18

subtract equation(ii) from equation(i) to eliminate the variable y.

Therefore,

10x = 20

divide both sides by 10

x = 20 / 10

x = 2

Let's find y by substituting the value of x in equation(ii)

x - 5y = -18

2 - 5y = -18

-5y = -18 - 2

-5y = -20

divide both sides by -5

y = -20 / -5

y = 4

Therefore, x = 2 and y = 4.

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The following is an example of a quadratic inequality: x^2 + 2x - 8 > 0.

This is an example of a quadratic inequality because it is an inequality involving a quadratic function (x^2 + 2x - 8) which is of the form ax^2 + bx + c where a, b, and c are constants.

Quadratic inequalities can be solved by factoring the quadratic expression, using the Quadratic Formula, or graphing the inequality. In order to solve a quadratic inequality, it is important to understand the types of solutions that can be expected.

Solutions may include one solution, two solutions, or no solutions. Additionally, when graphing a quadratic inequality, the graph may be a line or a region. To determine which type of graph to use, the type of inequality must be identified (greater than or less than). If the inequality is a greater than or less than inequality, then the graph will be a region. If the inequality is an equal to inequality, then the graph will be a line.

Solving and graphing quadratic inequalities is an important skill in algebra as it allows us to visualize and solve complex problems.

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Bar, circle, and line graphs are the three most often utilized graph kinds. Each form of graph can be used to display a certain kind of data.

Therefore the correct answer is option B .

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Answer: -12ab^3

Step-by-step explanation: (-3ab^3) 4 -12ab^3

The correct answer is option B: 60 ft.

To find the length of the model, you can use the formula:

Length of model = (Length of original object) x (Scale factor)

The scale factor in this case is 99 feet / 6 inches = 16.5 feet/inch

So the length of the model = (6 inches) x (16.5 feet/inch) = 60 ft

The overall average of the weights is 16.

The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average.

Given that the average of the first 4 weights is 5.

Avg = Total Sum / Total number of weights

Substituting the value of Avg = 5 and Total number of weights= 4 we have:

5 = Sum(4) / 4

Sum(4) = 20

The average of the next 11 weights was 20 pounds.

Substituting the values, we have:

20 = Sum(11) / 11

Sum(11) = 220

The total sum of the 4 weights and the 11 weights is:

Sum = Sum(4) + Sum(11)

= 20 + 220

= 240

The total number of weights are: 4 + 11 = 15

The overall average weight is:

Avg = Sum/ total number of weights

Avg = 240/ 15

Avg = 16

Hence, the overall average of the weights is 16.

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Answer: 27p^15 q^3

Step-by-step explanation:

By treating the,, >, or sign as a = sign, the inequality can be shown graphically. Make a dotted line graph of the equation if the inequality is either or.

For a 125-pound individual, a 30-minute hard stationary bike workout burns roughly 315 calories, 378 calories for a 155-pound individual, and 441 calories for a 185-pound someone. You will burn even more calories if your weight is higher.

According to the American Council on Exercise (ACE), you should cycle for at least 30 minutes at a time at a moderately strenuous intensity if you want to lose weight. You'll want to pedal for longer to burn even more calories. The ACE also advises combining two exercises into one cross-training session to speed up weight loss.

Treat the,, >, or sign as a = sign when graphing an inequality, and then graph the equation. The equation should be plotted as a dotted line if the inequality is either or.

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According to the unitary method, after 2.05 hours value of stock will be equal.

Here we have given that the following value are given in the question they are listed as follows:

Stock 1 has price of stock at 9 A.M is $16.12 and the Rate of increase is $0.12 per hour

Similarly, Stock 2 has price of stock at 12 P.M is $16.87 with the Rate of decrease is $0.07 per hour.

Here first we have to calculate price of stock at 12 P.M, then we get the value as,

=> 16.12 + (0.12 x 3) = 16.48

Now, let us consider that x hours after 12 P.M their price will be same

Then the First consider case of stock 1 as,

=> Price of Stock 1 after x hours from 12 P.M

=> 16.48 + 0.12x

For stock 2, the value is calculated as,

=> Price of Stock 2 x hours after 12 P.M

=> 16.87 - 0.07x  

Then we have to equate the price of stock x hours after 12 P.M:

=> 16.48 + 0.12x = 16.87 - 0.07x  

When we simplify this one then we get,

=> 0.19x = 0.39

=> x = 2.05

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The square of the largest number is equal to the sum of the squares of the other two numbers.

∴ Sides 7 cm, 24 cm, 25 cm form a right angled triangle.

What is meant by largest number?

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The square of the largest number equals the sum of the squares of the other two numbers.

∴A right-angled triangle with sides of 7 cm, 24 cm, and 25 cm.

Since the early modern period, English and other European languages ​​have used major and minor scales as nomenclature scales for important numbers.

Most dialects of English still use the minor scale today, although the major scale is still prevalent in many non-English speaking regions, such as continental Europe and Spanish-speaking countries of Latin America. Over a trillion names are rarely used in real life. Instead, in the scientific community powers of 10 are usually written as 10 with a number superscript.

Terms for very large numbers, such as millions, billions, and trillions, have real human equivalents and are in common use.

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Answer: x=−10

Step-by-step explanation:

2(x+3)=x−4

Use the distributive property to multiply 2 by x+3.

2x+6=x−4

Subtract x from both sides.

2x+6−x=−4

Combine 2x and −x to get x.

x+6=−4

Subtract 6 from both sides.

x=−4−6

Subtract 6 from −4 to get −10.

x=−10

Step-by-step explanation:

2(x+3)=x−4

Step 1: Simplify both sides of the equation.

2(x+3)=x−4

(2)(x)+(2)(3)=x+−4 (Distribute)

2x+6=x+−4

2x+6=x−4

Step 2: Subtract x from both sides.

2x+6−x=x−4−x

x+6=−4

Step 3: Subtract 6 from both sides.

x+6−6=−4−6

x=−10

The coordinates of the vertices of the polygon, given the scale factor and the coordinates of the original image, would be:

To find the coordinates of the new image, when a dilation happens at the origin, use the coordinates of the image and multiply it by the scale factor.

The coordinates of the image, shown on the graph are:

J = (- 5, 3 )

K = ( 2, 3 )

M = ( -5, -3 )

L = ( 2, - 3 )

The coordinates of the new image is therefore:

J ' = ( -5 , 3 ) x 1 / 2

= ( - 2.5, 1 . 5)

K ' = ( 2, 3 ) x 1 / 2

= ( 1, 1 . 5)

M' = ( -5, -3 ) x 1 / 2

= ( - 2.5, - 1. 5 )

L ' = ( 2, - 3 ) x 1 / 2

= ( 1, - 1. 5 )

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Answer:

c = 50

Step-by-step explanation:

The given angles are alternate angles and their measures are equal.

We can write the following equation based on this information:

2c - 3 = 97

2c = 100

c = 50

A periodic up-and-down motion should be imparted to the nozzle of a garden hose such that the resultant stream of water approximates a sine curve.

A sine curve is a mathematical function that oscillates between a maximum and minimum value in a repeating pattern. To approximate this with a stream of water from a garden hose, the nozzle of the hose should be moved in a periodic up-and-down motion. This motion will cause the water stream to oscillate between a higher and lower height, creating the repeating pattern characteristic of a sine curve. The speed at which the nozzle is moved, as well as the amplitude of the motion, can be adjusted to create a more accurate representation of a sine curve.

Also, the nozzle can be turned to make the water flow in a spiral, which looks even more like a sine curve.

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Answer:

19 rounds

Step-by-step explanation:

To find this, we take

990 / 54 = 18.33

It will not be 18 rounds because Olive needs 18.33 rounds to beat his old score, so we have to round up to 19 rounds.

Answer:

19 rounds

Step-by-step explanation:

990/54=18.33 round to 19

Empty space is within the container is 90.The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

The cylinder will have an interior height of 9 inches (three times the diameter of the balls) and an interior diameter of 3 inches (1.5 inch radius). It takes up around 21.2 cubic inches of the cylinder when the balls are not there.

The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

According to question:- 100 - 10 = 90.

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Answer: 150

Step-by-step explanation:

2x25x3= 50x3 = 150

The formula for enlargement = New length = original length × scale factor.

What is enlargement?

A shape's size can be changed by enlarging it. A shape can be made larger by multiplying all of its lengths by the scaling factor. We can calculate how much larger the shape will be by using the scaling factor. For instance, if a shape is scaled up by a factor of 2, all of the sides will lengthen by the same factor.

Here,

We have to determine the formula for enlargement.

We concluded that New length = original length × scale factor.

When we enlarge a shape by a scale factor, the area of the shape is multiplied by the square of the scale factor. When we enlarge a shape by a scale factor, the volume of the shape is multiplied by the cube of the scale factor.

Hence, the formula for enlargement = New length = original length × scale factor.

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