Find the equation of the line that contains the points (2,1) and (6,3). Write the equation in the form y=mx+b and identify m and b

Answer:

the are so many numbers but here's one of them

Step-by-step explanation:

Since the number is less than 700, it cannot begin with a 7 or an 8.

So the hundreds digit can only be a 2 or a 5.

Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.

Hence, the number of such numbers is 2x3x2 which is 12.

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.

A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5

⇒ 25

The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 5 x 5 x 3

⇒ 125

The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,

⇒ 125 + 25

⇒ 150

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Answer:

For the function \(f(x)=\frac{1}{x} +3\). The domain is \(\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)\) and the range is  \(\left(-\infty, 3\right) \cup \left(3, \infty\right)\).

For the function \(g(x) =\sqrt{x+6}\). The domain is \(\left[-6, \infty\right)\) and the range is \(\left[0, \infty\right)\).

Step-by-step explanation:

The domain of a function is the set of input or argument values for which the function is real and defined.

The range of a function is the complete set of all possible resulting values of the dependent variable, after we have substituted the domain.

\(f(x)=\frac{1}{x} +3\) is a rational function.  A rational function is a function that is expressed as the quotient of two polynomials.

Rational functions are defined for all real numbers except those which result in a denominator that is equal to zero (i.e., division by zero).

The domain of the function is \(\left(-\infty \:,\:0\right)\cup \left(0,\:\infty \:\right)\).

The range of the function is \(\left(-\infty, 3\right) \cup \left(3, \infty\right)\).

\(g(x) =\sqrt{x+6}\) is a square root function.

Square root functions are defined for all real numbers except those which result in a negative expression below the square root.

The expression below the square root in \(g(x) =\sqrt{x+6}\) is \(x+6\). We want that to be greater than or equal to zero.

\(x+6\geq 0\\x\ge \:-6\)

The domain of the function is \(\left[-6, \infty\right)\).

The range of the function is \(\left[0, \infty\right)\).

Answer:

Step-by-step explanation:

The ratio of corresponding sides is same for similar triangles:

Correct choice is D

a. Expenses: Books and supplies, Housing and food, Tuition and fees, Transportation and Personal expenses. Funding: Savings,

Scholarships, Grants and Student loans.

b. Total estimated expenses are $29,400

(a) Below is an estimate of all her expenses and sources of funding for her 2-year college education.

Expense:

Books and supplies: $1700

Housing and food: $14,020

Tuition and fees: $11,660

Transportation: $2040

Personal expenses: $2980

Funding:

Savings: $7800

Scholarships: $10,240

Grants: $11,600

Student loans: $6200

(b) What is the total of her estimated expenses?

To find the total estimated expenses, we need to add up all the expenses mentioned:

$1700 + $14,020 + $11,660 + $2040 + $2980 = $29,400

Therefore, the total estimated expenses for Nicole's 2-year college education is $29,400.

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Pyramid have faces=n triangles & 1 n-sided polygon

Edges=2n

vertices=n + 1

An edge is a line segment that serves as a transition between two faces. It is also sometimes referred to as the line segment that connects two vertices.

The location where two or more edges intersect is the formal definition of the vertex in mathematics. The corner points are called vertices.

A solid's face refers to each unique flat surface. Solids have multiple faces.

The number of faces in a pyramid is equal to one more than the base's polygon's number of sides.

faces = n triangles & 1 n-sided polygon

One more than the number of sides at the base of the polygon makes up the number of vertices in a pyramid.

hence, vertices = n + 1

Two times the number of sides at the base of a polygon equals the number of edges on a pyramid.

Therefore, edges = 2n

A pyramid has n triangles & 1 n-sided polygon Faces

A pyramid has  2n Edges.

A pyramid has  n + 1 Vertices.

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Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

Answer:

x=2 ( see Image below)

Step-by-step explanation:

cancel equal terms on both sides of the equation

2(x-5)=-6

move the constant to the right -hand side and change its sign

2x= -6 +10

Calculate the sum

2x=4

divide both sides of the equation by 2

x=2

Answer:

=4........,.......,,........,

Answer:

412

Step-by-step explanation:

14,832 divided by 36 = 412

Answer:

412

Step-by-step explanation:

412

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

let the first integer be x and the second be x + 2

then the sum is x +x+2 = 2x +2

Answer:

48

Step-by-step explanation:

just add the numbers. 48 is equal to (4+44)

have a great day and thx for your inquiry :)

Answer:

∠A ≅ ∠D

Step-by-step explanation:

When writing a triangle congruency like ΔABC ≅ ΔDEF, the angles are congurent based on the orders listed. For example the first angle A is congruent with the first angle of the other triangle D.  

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

The value of x is approximately 10.6. So, the correct answer is B. 10.6

To determine the value of x in the given triangle, we can apply the trigonometric concept of sine. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse.

In the given triangle, the angle at the left vertex is 45 degrees, and the length of the base is given as 15. The right sideline, which is represented by x, is the side opposite the 45-degree angle.

Using the sine function, we have:

sin(45 degrees) = x / 15

To solve for x, we can rearrange the equation:

\(x = 15 \times sin(45 degrees)\)

Using the exact value of sin(45 degrees) (which is √2 / 2), we have:

\(x = 15 \times (√2 / 2)\\x = (15 \times √2) / 2\)

x = 7.5√2

Therefore, the correct answer is B. 10.6.

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Answer:86

Step-by-step explanation

140-(16+24+5+9) 140-54 = 86

The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).

How to know if the lines intersect in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.

Now,

On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.

The graph models the growth of each plant since the day they were planted.

The intersection of the two lines represents the days after being planted were the two plants the same height.

The answer is that 2 days after being planted, the two plants are the same height.

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The answer is that 2 days after being planted, the two plants are the same height.

How to know if a point lies in the graph of a function?

The answer is that 2 days after being planted, the two plants are the same height.

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Step-by-step explanation:

Since you didn't actually ask a question, I'm just going to explain how to get rid of the radicals.

When it comes to radical equations like these, you can usually square both sides to get rid of the radical.

The reason this works is because the "square root" of something is the same as that something raised to the power of 1/2. And when you raise a power to a power, you multiply the two together; which reduces the 1/2 and gets rid of the root. (This is actually true for any root. If you wanted to get rid of a cube root you could cube both sides. If you had a 20th root, you could raise both sides to the power of 20.)

From here you'll either have your answer or perhaps need to continue solving. My work is in the attachment, comment with any questions.

The mass of the drug in the organ at time t depends on the concentration of the drug in the blood entering the organ and the rate at which the blood is entering and leaving the organ. This can be calculated by multiplying the volume of the organ by the concentration of the drug in the blood.

At time t, since the rate at which the blood is entering and leaving the organ is 3 cm^3/sec, the amount of drug in the organ is equal to the amount of drug entering the organ plus the amount of drug that was initially in the organ. As there was no trace of the drug initially, the mass of the drug in the organ at time t is 3 cm^3/sec multiplied by the concentration of the drug in the blood (1/3 gm/cm3) multiplied by the volume of the organ (150 cm^3).

Therefore, the mass of the drug in the organ at time t is 150 gm.

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Answer:

2

Step-by-step explanation:

The factors of 8 are: 1, 2, 4, 8

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 2.

Answer:

Step-by-step explanation:

Answer:

288 inches

Step-by-step explanation:

1 yard= 36 inches.

36x8=288

Answer:

It would be 288 inches

Step-by-step explanation:

8 divided by ? inches

1 yard = 36 inches

36 inches times 8 yards = 288 inches

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Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

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Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

The answer of the given question based on the actual area of the park in meters squared answer is the actual area of the park is 593,442 square meters.

Width refers to measurement of  distance from one side of object to other side, perpendicular to its length. It is one of basic dimensions of  object or shape along with the length and height.

Width is often used in context of rectangular or parallelogram-shaped objects, where it refers to measurement of shorter sides of the shape. For example, in a rectangular picture frame,  width would be measurement of the shorter sides of the frame.

The scale of the drawing is 1 cm = 110 m, which means that every 1 centimeter on the drawing represents 110 meters in real life.

The length of the park on the drawing is 8.6 cm, so the actual length of the park in meters is:

8.6 cm x 110 m/cm = 946 meters

The width of the park on the drawing is 5.7 cm, so the actual width of the park in meters is:

5.7 cm x 110 m/cm = 627 meters

Therefore, the actual area of the park in square meters is:

946 meters x 627 meters = 593,442 square meters.

So, the actual area of the park is 593,442 square meters.

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Answer:

  9√15·cis(19π/24)

Step-by-step explanation:

The magnitudes multiply and the angles add:

  = ((3√3)(3√5))·cis(π/8 +2π/3)

  = 9√15·cis(π(1/8 +2/3)) = 9√15·cis(π(3/24 +16/24))

  = 9√15·cis(19π/24)

The line of symmetry of the parabola is t = 1.875 and the vertex of the parabola is (1.875, 77).

A function is a mathematical concept that relates an input value (or values) to an output value (or values) according to a specific rule or set of rules. It can be thought of as a machine that takes in one or more inputs and produces a corresponding output. Functions are often represented using function notation, such as f(x) or g(t), where the variable in the parentheses (x or t) represents the input and the value of the function (f(x) or g(t)) represents the output.

To identify the line of symmetry and vertex of the parabola given by the function \(f(t) = -16t^2 + 60t + 16\), we need to use the formula:

t = -b/2a

where "a" is the coefficient of the \(t^2\) term (-16 in this case) and "b" is the coefficient of the t term (60 in this case).

Part A: Identify the line of symmetry of the parabola.

Using the formula above, we get:

t = -60 / 2(-16) = 1.875

So the line of symmetry of the parabola is t = 1.875.

Part B: Identify the vertex of the parabola.

To find the vertex, we need to substitute the value we found for t into the original function:

\(f(1.875) = -16(1.875)^2 + 60(1.875) + 16 = 77\)

So the vertex of the parabola is (1.875, 77).

Therefore, the line of symmetry of the parabola is t = 1.875 and the vertex of the parabola is (1.875, 77).

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