For the functions f(x)=9x2+8x+2 and g(x)=4x2, find (f+g)(x) and (f+g)(−2)

Answer:

(x-1.3)^2 + (y+3.5)^2 = 37

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-1.3)^2 + (y--3.5)^2 = (sqrt(37))^2

(x-1.3)^2 + (y+3.5)^2 = 37

Answer:

24.554

Step-by-step explanation:

Substitute the variables for the given values

2(9.84)(1.3) - (1.3) + (0.27)

25.584 - 1.3 + 0.27

24.284 + 0.27

24.554

The value of 104 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 229.3 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 104 x 2.20462262184878

= 229.3 pounds or lbs.

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Answer:

the number of cells increases by a factor of 2.

Explanation:

the number of cells doubles with each hour, which means that they are multiplied by 2. thus, the number of cells increases by a factor of 2.

i hope this helps! :D

Answer: The number of cells increases by a factor of 2.

After four hours, the number 2 is used as a factor 4 times.

Step-by-step explanation: The cells multiply by 2, and make double the amount of cells.

The number 2 is used 4 times after 4 hours to make 16 cells.

Answer:

X

Step-by-step explanation:

Answer:

\( - \frac{3}{2} \)

Step-by-step explanation:

The slope of a line passing through two points can be calculated using the formula below:

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Slope

\( = \frac{9 - 6}{3 - 5} \)

\( = \frac{3}{ - 2} \)

\( = \bf{- \frac{3}{2} }\)

Answer: \(m=-\frac{3}{2}\)

Step-by-step explanation:

Use the slope formula to find the slope. of \((5,6) and (3,9)\)

Answer:

the correct answer is h.

Step-by-step explanation:

Answer:

H and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the mean weight of 3 outfielders on the baseball team is 194 lb and the mean weight of the 6 other players is 229 ​lb, what is the mean weight of the 9

Answer:

Step-by-step explanation:

102

Answer:

Area = \(561.2485\) square centimeter

If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.

Step-by-step explanation:

As we know the circumference of a circle is \(2\pi r\)

The radius of the hub cap needs to be devised to determine the area

\(83.96\) \(= 2* 3.14*r\)

\(r = \frac{83.96}{2*3.14}\)

\(r = 13.37\) centimeters

Area of the hub cap = \(\pi r^{2}\)

Substituting the devised value of r in the above equation, we get -

\(3.14 * 13.37^2\\\)

\(561.2485\) square centimeter

If the circumference of the hub cap would have been smaller, then its radius would have been smaller and subsequently its area would also have been less.

Answer:

the answer is c I THINK??

Step-by-step explanation:

i know

Answer:

no there isn't this is irrelevant

Answer:

Number of batches she can make = 2

Step-by-step explanation:

Batch of muffins : cups of almond milk

= 1 : 3

Rose has 6 cups of almond milk.

How many batches of muffins could she make?​

Let

x = number of batches she can make

Batch of muffins : cups of almond milk = x : 6

Equate both ratios

1 : 3 = x : 6

1/3 = x/6

Cross product

1 * 6 = 3 * x

6 = 3x

x = 6/3

x = 2 batches

Number of batches she can make = 2

Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

The mathematical method of handling imprecise or subjective information is fuzzy logic.What is the mathematical method of handling imprecise or subjective information?The mathematical method of handling imprecise or subjective information is fuzzy logic. It is a form of reasoning that allows for the management of approximate, subjective, or ambiguous information to be carried out using a mathematical model. It is a soft computing technique that uses artificial intelligence to model uncertainty and imprecision in data. Fuzzy logic is commonly utilized in computer science, artificial intelligence, engineering, and other fields that require imprecise or ambiguous information to be handled.

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Answer:

81 - 19 = 62 ÷ 4 = 15.5 days (?)

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Therefore , the solution of the given problem of expressions comes out to be choice D is the correct response: 200 • (1.02)24.

It is preferable to use moving numbers, which can be growing decreasing, or variable, rather than generating estimates at random. They could only assist one another by exchanging resources, knowledge, or answers to problems. A truth statement may contain strategies, components, and notations against mathematical processes such as additional denial, synthesis, and mixture.

Here,

The number of paintings in the library is increasing by 2% each month, so the growth rate for one month is 2/100 = 0.02.

Therefore, multiplying the starting number of paintings (200) by the growth factor

=>  (1 + 0.02)24,

where 24 is the number of months in 2 years, will give the number of paintings the art museum will own after two years (24 months).

Thus, the expression that denotes the number of paintings the art institution owns after two years is as follows:

=>  D) 200 • (1.02)^24

Therefore, choice D is the correct response: 200 • (1.02)24.

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Answer:

  not equivalent

Step-by-step explanation:

You want to know if (x² +1) is equivalent to (2/3x² +1/3x² +1 +x).

The second expression simplifies to ...

  (2/3 +1/3)x² +x +1 = x² +x +1

This 3-term expression has an extra term that is not found in the first expression. The two expressions are not equivalent.

__

Additional comment

You can combine like terms (expressions with the same variables to the same powers), but you cannot combine unlike terms. The added x term in the second expression is what makes it not equivalent to the first expression.

Equivalent expressions have the same graph. These do not.

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the variable hypothesized to be the cause is called the independent variable , and the variable hypothesized to be affected is called the dependent variable

What are variables?

A variable is defined as any property, number, or number of items that can be counted or measured. A variable is also known as a data item.

Dependent variables are so designated in spite of  the thought that their values are to be investigated in a laboratory activity.

This can be done under the presumption or requirement that they are dependent on the value of other variables due to some law or rule.

A dependent variable is one that changes as a result of the independent variable's manipulation.

It is the desired outcome, and it is dependent on your independent variable. In statistics, dependent variables are often referred to as output responses.

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When the water flows through the sprinkler nozzle, it speeds up, creating a low-pressure area that sucks water up from the supply pipe and distributes it over the lawn.

Archimedes' principle, Pascal, and Bernoulli's principle have been proved to be the most fundamental principles of physics. Here is a detailed explanation of the similarities and differences between the three and three examples of daily life for each of the principles:

Archimedes' principle: This principle of physics refers to an object’s buoyancy. It states that the upward buoyant force that is exerted on an object that is submerged in a liquid is equal to the weight of the liquid that is displaced by the object.
It is used to determine the buoyancy of an object in a fluid.
It is applicable in a fluid or liquid medium.
Differences:
It concerns only fluids and not gases.
It only concerns the buoyancy of objects.

Examples of daily life for Archimedes' principle:

Swimming: Swimming is an excellent example of this principle in action. When you swim, you’re supported by the water, which applies a buoyant force to keep you afloat.
Balloons: Balloons are another example. The helium gas in the balloon is lighter than the air outside the balloon, so the balloon is lifted up and away from the ground.
Ships: When a ship is afloat, it displaces a volume of water that weighs the same as the weight of the ship.

Pascal's principle:
Pascal's principle states that when there is a pressure change in a confined fluid, that change is transmitted uniformly throughout the fluid and in all directions.
It deals with the change in pressure in a confined fluid.
It is applicable to both liquids and gases.
Differences:
It doesn’t deal with the change of pressure in the open atmosphere or a vacuum.
It applies to all fluids, including liquids and gases.

Examples of daily life for Pascal's principle:

Hydraulic lifts: Hydraulic lifts are used to lift heavy loads, such as vehicles, and are an excellent example of Pascal's principle in action. The force applied to the small piston is transmitted through the fluid to the larger piston, which produces a greater force.
Syringes: Syringes are used to administer medicines to patients and are also an example of Pascal's principle in action.
Brakes: The braking system of a vehicle is another example of Pascal's principle in action. When the brake pedal is depressed, it applies pressure to the fluid, which is transmitted to the brake calipers and pads.

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The correct answer is B. The graph of g is a vertical stretch of the graph of function f.

The given functions are:

f(x) = 6x - 2

g(x) = 0.4(6)x - 2

To determine the relationship between the graphs of functions f and g, let's analyze the coefficients in front of the variable 'x' in both functions.

In function f(x), the coefficient of 'x' is 6.

In function g(x), the coefficient of 'x' is 0.4(6), which simplifies to 2.4.

The coefficient in front of 'x' determines the slope or the rate of change of the function. In this case, since function f has a coefficient of 6 and function g has a coefficient of 2.4, we can conclude that:

The graph of function g is a vertical stretch of the graph of function f.

A vertical stretch occurs when the entire graph is scaled vertically, resulting in a change in the y-values. In this case, the vertical stretch is by a factor of 2.4, indicating that the y-values in function g are 2.4 times larger than the corresponding y-values in function f.

Therefore, the correct answer is:

B. The graph of g is a vertical stretch of the graph of function f.

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The correct answer is option D) (-[infinity], [infinity]).

To determine the domain of an exponential function, we need to consider the values of x that make the function well-defined. In other words, we need to consider the values of x that do not cause the function to become undefined or negative.

For an exponential function, the base (the raised value) must be positive, so we exclude any values of x that would make the base negative. Additionally, we need to exclude any values of x that would make the base equal to zero, as this would result in an undefined function.

In the given options, the domain of the graphed exponential function appears to be all real numbers, since the graph appears to extend in both the positive and negative directions without any gaps or breaks. Therefore, the correct answer is option D) (-[infinity], [infinity]).

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Answer:

0.335,

0.3375,

0.34,

0.3425,

0.345,0

Step-by-step explanation:

The five decimals whose values are between 0.33 and 0.35 are  0.331  , 0.332 , 0.335 , 0.337 , 0.339.

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

A digit is a part of a set that, when combined, makes up a numeration system.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Given two decimals 0.33 and 0.35

Both decimals are up to tenth only so all values of thousands between 1 to 9 will lie between 0.33 and 0.35.

For example 0.331  , 0.332 , 0.335 , 0.337 , 0.339.

Hence " The five decimals whose values are between 0.33 and 0.35 are  0.331  , 0.332 , 0.335 , 0.337 , 0.339".

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Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.

Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.

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Answer:

180 - 90 = 90

5q + 5 + (4q - 5) = 90

9q = 90

q = 10

Explanation:

We're told from the question that 200 students took part in the exercise, so if the total number of girls is 100 then the total number of boys will be;

To find how many more girls than boys chose Biology, we'll have;

So 21 more girls than boys chose Biology.

Using differentials to estimate the relative error in the calculated area of the disk of disk with radius 15 cm is equals to the 3.192%.

We have, a disk with radius of 15 cm.

Maximum error = 0.25

We have to determine the area of the disk. Area is a two dimensional quantity. It is defined as the space occupied by figure or any two dimensional shape. Here, formula for area of disk, A = πr² --(1)

here, r = 15 cm , dr = 0.25

Relative error is defined as the ratio of absolute error in measurement to the oringnal measurement. Differentating the equation (1) with respect to r, dA = d( πr²)

=> dA = 2πr dr

Substitutes the known values, in above formula, dA = 2× π × 15 ×0.25

=> dA = 7.50 × π = 23.55

So, absoulte error in area = 22.55

Original value of area = π(15)² = 706.5 cm²

Now, relative error % = (∆A/A)×100

= (22.55/706.5)×100

= 0.031917 × 100

= 3.1917 ~ 3.192 %

Hence, required value is 3.192%.

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Complete question:

the radius of a disk is given 15 cm as with a maximum error of 0.25 . use differentials to estimate the relative error in the calculated area of the disk. please enter your answer in decimal format with three significant digits after the decimal point.

The equation is (5 x 2) - (5 + 5) = 20

The given equation can be solved by performing the operations within the parentheses first.

First, 5 x 2 = 10, then 5 + 5 = 10.

Then, the next step is to subtract the second set of parentheses from the first set, 10 - 10 = 0.

Finally, we can see that 0 + 20 = 20.

In this equation, the operation of multiplication and addition are used and the final value is 20.

The equation is (5 x 2) - (5 + 5) = 20

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Complete Question is -

solve the following mathematical operation that involves parentheses, five numbers, two different operations and has a value of 20?

The equations y = ax + b and y = cx + d, where a < 0, b = 0, c = 0, and d > 0, represent two different types of linear functions. The first equation, y = ax, represents a line passing through the origin with a negative slope.

In the equation y = ax + b, where b = 0, the value of b affects the y-intercept. Since b = 0, the equation simplifies to y = ax, which represents a line passing through the origin (0,0) with a slope determined by the value of a. Since a < 0, the line will have a negative slope. In the equation y = cx + d, where c = 0, the value of c affects the slope of the line. Since c = 0, the equation simplifies to y = d, which represents a horizontal line at a constant value of y. Since d > 0, the line will be positioned above the x-axis.

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Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

\(V=\pi r^2h\)

Where, r = radius

h = height

Put the value into the formula

\(V=\pi\times(2)^2\times13\)

\(V=163.3\ cm^3\)

Hence, The volume of the cylinder is 163.3 cm³.