describe a situation that could be represented by f(x) // pls help

The value of KM in triangle  ΔKLM is 110.

Similarity of a triangle is the ratio of their corresponding sides or angles which are equal .

In the given triangle ΔHIJ,

HI=13, HJ=25,

And in triangle ΔKLM,

KL=57, KM=?

triangle ΔHIJ is similar to ΔKLM,

By the property of similarity,  HI/HJ=KL/KM

Substitute the values here,

13/25=57/KM

KM=25×57/13

KM=109.6

The value of KM=110.

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m= (6- 3)/ (-5 -1)

2x - y + 11= 0

By using the concept of straight angle, the value of x obtained is 17°

What is straight angle?

At first it is important to know about angle

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle

Straight angle is the angle whose measure is 180°

Here,

[tex]m\angle 1 =(4x +2)\\m\angle 2 = 110\\[/tex]

[tex]\angle 1 \ and \ \angle 2[/tex] forms a straight angle

[tex]m\angle 1 + m\angle 2 = 180[/tex] [Angle on a straight line]
[tex]4x + 2 + 110 = 180\\4x +112 = 180\\4x =180-112\\4x = 68\\x = \frac{68}{4}\\x = 17[/tex]

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Diagonal of rectangle is changing by the rate of 4.373 in. /sec.

Rate of change (ROC) is the rate at which a variable changes over a particular period of time

To find the average rate of change, divide the change in the y-values ​​by the change in the x-values . Finding the average rate of change is especially useful for identifying changes in measurable values ​​such as average speed or average velocity.

A ratio is a special ratio in which the two terms have different units.

the calculation part is shown in the below picture attached .

so after seeing the solution we come to an answer of = 4.373 in./sec

therefore diagonal of rectangle is changing by the rate of 4.373 in. /sec

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The value of f(8) is 3.

What is logarithm?

The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to obtain a number x is hence the logarithm of a number x to the base b. For instance, since 1000 = 103, log10 of 1000 is 3, or [tex]log_1_0=3[/tex].

Let, [tex]f(x) = log_2(x)[/tex]

We have to find the value of f(8).

Plug x = 8 in the above equation.

[tex]f(8) =log_2(8)[/tex]

Here 8 = 2 x 2 x 2 = 2^3

So, replace 8 with 2^3 in the above equation.

[tex]f(8) = log_2(2^3)[/tex]

Using the log rule: [tex]log_a(a^b) = b[/tex]

Here a = 2, b = 3

So, [tex]log_2(2^3) = 3[/tex]

Hence, f(8) = 3.

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The domain of the given function y = 2√(x - 6)

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

This ultimately implies that, a domain is the set of all possible input numerical values or numbers (x-values) to a function and the domain of a graph comprises all the input numerical values which are located on the x-coordinate.

In order to determine the domain of this function, we would equate the x-value to zero and then evaluate as follows:

x - 6 ≥ 0

x ≥ 6

Therefore, the domain of this function in interval notation is [6, ∞] as shown in the graph attached below.

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Complete Question:

What is the domain of the function y = 2√(x - 6)?

0 ≤ x < ∞

6 ≤ x < ∞

Answer:

y = 12

Step-by-step explanation:

We'll use the form of an equation of a straight line of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

We are told the slope, m, is -2.

That leads to:  y = -2x + b

y = -2x + b

B, the y-intercept, can be found by using the given point (3,28) in the equation (it falls on the line, so must be a valid solution to the equation.  Use the given x and y in the equation and solve for b:

            y = -2x + b

           28  = -2*(3) + b

           28  = -6 + b

b = 34

The equation is y = -2x + 34

Use this to find y when x = 11:

  y = -2(11) + 34

  y = -22 + 34

  y = 12

y is 12 when x is 11

     See the attached graph.

Answer:

b = (4/3), with rounding

Step-by-step explanation:

Area = A, in cm^2

n = days

A(n) = [tex]A_{0}[/tex][tex]b^{n}[/tex]

------------------

Data:

n = 2, A = 1.8

A(n) = [tex]A_{0}[/tex][tex]b^{n}[/tex]

1.8 =  [tex]A_{0}[/tex][tex]b^{2}[/tex]

n = 3, A = 2.4

2.4 = [tex]A_{0}[/tex][tex]b^{3}[/tex]

Although we are not given the initial area, we can still make the calculation since we have two data points and each has the same initial area, [tex]A_{0}[/tex].  Lets take the first equation and multiply it by b, in order to bring the [tex]b^{2}[/tex] to [tex]b^{3}[/tex]

1.8 =  [tex]A_{0}[/tex][tex]b^{2}[/tex]

b(1.8 =  [tex]A_{0}[/tex][tex]b^{2}[/tex])

1.8b = [tex]A_{0}[/tex][tex]b^{3}[/tex]

We can know from the second equation that 2.4 = [tex]A_{0}[/tex][tex]b^{3}[/tex] .  We can eliminate this term in the above relationship by substituting 2.4:

1.8b = [tex]A_{0}[/tex][tex]b^{3}[/tex]

1.8b = 2.4

b =  1.3333

       or (4/3)

Check:

Does the value of (4/3) for b work for both data points?  To check this, we do need to assume an initial starting area.  Lets assume the starting area, [tex]A_{0}[/tex] = 1.

n = 2, A = 1.8, b = (4/3)

A(n) = [tex]A_{0}[/tex][tex]b^{n}[/tex]

1.8 =  1*[tex](4/3)^{n}[/tex]

1.8 =  1.78  Close enough?

n = 3, A = 2.4, b = (4/3)

2.4 = [tex]A_{0}[/tex][tex](4/3)^{n}[/tex]

2.4 = 1*[tex](4/3)^{3}[/tex]

2.4 = 2.37 Close enough?

A block exerts a force of 9 N on the ground.

Calculate the pressure the block exerts on the ground, in N/m², when it is

a) 225N/m^2

b) 600N/m^2

Define pressure.

Force applied per unit area is the definition of pressure. P=FA, where F is the force acting perpendicular to the surface area A, is the formula used to calculate pressure mathematically. Having only magnitude and no directional vector properties, pressure is a scalar quantity. The pascal (Pa), or one newton per square meter (N/m 2), is the industry standard for measuring pressure.

Solution Explained:

Given, Force = 9N

For each part of the question we will use the formula

Pressure = Force / Area           (Since, Force = Pressure X Area)

a) Here, Area = 0.04m^2

So using the formula, we have

P = 9/0.04 = 225N/m^2

b) Here, Area = 0.015m^2

So using the formula, we have

P = 9/0.015 = 600N/m^2

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Time taken to eat all = 549.5 minutes.

What is unitary method?

acc to our question-

Hence,Time taken to eat all = 549.5 minutes.

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The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the parallel lines will be equal.

The equations are given below.

5x − 3y = 2             ...1

5x − 3y = 8            ...2

The slope of line 1 is given as,

5x − 3y = 2

y = (5/3)x − 2/3

The slope of line 1 is 5/3.

The slope of line 2 is given as,

5x − 3y = 8

y = (5/3)x − 8/3

The slope of line 2 is 5/3.

The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.

The graph is given below.

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Answer:

37=18q+1

subtract 1 on both sides

then divide both sides by 18

q=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sf 37=18q+1[/tex]

[tex]\sf 18q+1=37[/tex]

Subtract 1 from both sides:-

[tex]\sf 18q+1-1=37-1[/tex]

Simplify:-

[tex]\sf 18q=36[/tex]

Divide both sides by 18:-

[tex]\sf \cfrac{18q}{18}=\cfrac{36}{18}[/tex]

[tex]\sf q=2[/tex]

_____________________

Hope this helps!

Have a great day!

Answer:

[tex] \frac{3}{4 - x} [/tex]

Answer:

do the answer is 532 ft.

u should be careful not to count the area of the ceiling and the floor of the room!

Answer:

-------------------------

Perimeter of the room:

Area of the four walls:

Answer:

a

Step-by-step explanation:

The value of x will be; x = 14,000

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that  the equation 750 +0.05x = 1,100+ 0.025x

Here, we need to solve for x;

750 +0.05x = 1,100+ 0.025x

combine the like terms;

750 - 1,100= -0.05x + 0.025x

-350 = - 0.025x

x = 14,000

Therefore, the solution will be as;

x = 14,000

The value of x will be; x = 14,000

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Answer:

It line splits the graph of a quadratic equation into two mirror image, or basically means every point on the parabola on one side of the axis will be a mirror image of the other side of the parabola.

np :d

The length of rectangle is 1170 ft and width is 770 ft.

The perimeter of a form is the space surrounding its edge. A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. We must sum up the lengths of the rectangle's four sides in order to get its perimeter. Since there are two of each side length, it is easy to accomplish this by simply adding the length and width and multiplying the result by two. The perimeter formula is defined as perimeter=(length + width)2.

Given,

The perimeter of the flag is 2,280 ft .

Length = 400 ft

Let l represent the size of the flag.

and

The width is w.

then in line with the preceding statement

l = w+400

Sphere size is 2280 feet.

The perimeter formula is provided by:

Perimeter = 2(Length + Width)

2280 = 2( w + w+ 400)

2280/2 = 2w - 400

1140 + 400 = 2w

1540 = 2w

width = 770

Length = 770 + 400

Length = 1170

The length of rectangle is 1170 ft and width is 770 ft.

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Answer:

36

Step-by-step explanation:

The perimeter of ABCDE is equal to AB + BC + CD + DE + AE.

AB = 10 - 2 = 8 (The x values of A and B are the same, therefore the distance between them is the difference between their y values.)

BC = 7 - 4 = 3 (The y values of B and C are the same, therefore the distance between them is the difference between their x values.)

CD =  [tex]\sqrt{(X_D - X_C)^2 + (Y_D - Y_c)^2} = \sqrt{(15 - 7)^2 + (4 - 10)^2} = \sqrt{8^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]

DE = [tex]\sqrt{(X_E - X_D)^2 + (Y_E - Y_D)^2} = \sqrt{(7 - 15)^2 + (-2 - 4)^2} = \sqrt{(-8)^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]

AE =

[tex]\sqrt{(X_E - X_A)^2 + (Y_E - Y_A)^2} = \sqrt{(7 - 4)^2 + (-2 - 2)^2} = \sqrt{3^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

[tex]\Delta \text{ABCDE} = \text{AB} + \text{BC} + \text{CD} + \text{DE} + \text{AE} = 8 + 3 + 10 + 10 + 5 = 36[/tex]

Answer:

[tex]y = \frac{1}{3} {x}^{3} + 6x - \frac{9}{x} - 4[/tex]

Step-by-step explanation:

explanation shown in picture ^^

For a single game, the mean and the standard deviation of the number of hits is given as follows:

For 25 games, the mean and the standard deviation are:

For 50 games, the mean and the standard deviation are:

This shows that as the number of trials increase, the standard error reduces.

The mean is given by the sum of each outcome multiplied by it's respective probability, hence:

E(X) = 0 x 0.1666 + 1 x 0.3275 + 2 x 0.2875 + 3 x 0.1489 + 4 x 0.0382 + 5 x 0.0313 = 1.659 hits.

The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values, hence:

S(X) = sqrt((0-1.659)² x 0.1666 + (1-1.659)² x 0.3275 + (2-1.659)² x 0.2875 + (3-1.659)² x 0.1489 + (4-1.659)² x 0.0382 + (5-1.659)² x 0.0313) = 1.209.

For the repetition of n experiments, we have that the mean remains constant, while the standard deviation is given as follows:

s = S(X)/sqrt(n).

Meaning that it is divided by the square root of the sample size.

Hence, for 25 games, the standard deviation is:

S(X) = 1.209/sqrt(25) = 0.242.

For 50 games, the standard deviation is:

S(X) = 1.209/sqrt(50) = 0.171.

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The solutions for the given equation is (6, -6). The graph for the given  equation is plotted below.

The given equation is x²-36=0.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

We need to graph the given equation

x²-36=0

⇒ x²=36

⇒ x=±√36

⇒ x=±6

So, solution is (6, -6)

The graph for equation x²-36=0 is given below

The solutions for the given equation is (6, -6). The graph for the given  equation is plotted below.

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The formula of nth term is  = 10 - 3n

What is AP?

Acc to our question-

Hence,The formula of nth term is  = 10 - 3n

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The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).

Given that:

Enrique predicts that he can make additional money from sales of accessories and services for computer products sold by his store.

The store makes x dollars selling computer products, Enrique predicts the store will make 0.05x dollars ($0.05) from selling accessories.

The following steps can be used in order to determine the equation that represents the predicted amount y:

Step 1 - According to the given data, the store makes x dollars selling computer products.

Step 2 - It is also given that, in January and February of this year, the store made $2,500 from sales of accessories and services.

Step 3 - So, the linear equation that represents the given situation is:

y = 0.05x + 2500

Hence the answer is The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).

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Step-by-step explanation:

Angel side angle rule (ASA)

Answer:

SA = 148 cm²

Step-by-step explanation:

the opposite faces of the cuboid are congruent , then

SA = 2(6 × 5) + 2(4 × 5) + 2(6 × 4)

     = 2(30) + 2(20) + 2(24)

     = 60 + 40 + 48

     = 148 cm²

The factor of the expression 27 + 33 is 3.

What is meaning of factor?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Factors can be found using either division or multiplication. Rules of divisibility can also be applied.

What meaning of expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given expression is 27 + 33

The factors of 27 are 1, 3, 9, 27.

The factors of 33 are 1, 3, 11, 33.

The common factor of 27 and 33 is 3.

Taking common 3 from the given expression:

27 + 33 = 3 (9 + 11)

The factor of the given expression is 3.

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The percentage of students expected to pass the course is 66.8%

The given data represents;

In a recent survey in a statistics class, it was determined that only 60% of the students attend class on Fridays. from past data, it was noted that 98% of those who went to class on Fridays passed the course, while only 20% of those who did not go to class on Fridays passed the course.

We need to find the percentage of students who are expected to pass the course.

Let 'A' be the event of passing,

     'B' be the event of attending on Fridays.

P (A I B) = 0.98 * P (A I B') = 0.2

P (B) = 0.6

Then, P (B') = 1 - 0.6

                  = 0.4

→ P (A ∩ B) = P (A I B) * P (B)

                 = 0.98 * 0.6

                 = 0.588

→ P (A ∩ B') = P (A I B') * P (B)

                  = 0.2 * 0.4

                  = 0.08

∴ P(A) = P (A ∩ B) + P (A ∩ B')

          = 0.588 + 0.08

          = 0.668

Hence, the percentage of students expected to pass the course is 66.8%

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The equation of the parabola is f(x) = 7(x-3)^2+5.

Given:

The equation of the parabola that has the same shape has f(x) = 7x^2 but with vertex(3,5) in the form of f(x) = a(x-h)^2 + k.

If the parabola has same shape then its a values are same.

so f(x) = 7x^2

here a = 7

so the equation with vertex (3,5) also has a value is 7.

(h,k) = (3,5)

f(x) = a(x-h)^2+k

= 7(x-3)^2 + 5.

Therefore the equation of the parabola is f(x) = 7(x-3)^2+5.

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