What is the square root of 125 in simplest form

Answer:  2.5 Hours. I hope I'm not sure but I think you just divide Miles Driven by MPH

According to estimates, FG has a magnitude of 2√5.

The vector direction of FG is given as = 63.43°. (angle formed in the 1st quadrant with anti-clockwise direction).

The distance formula is used in complex numbers to show the plane in addition to its magnitude. Distance formulas can also be used to determine the actual the distances between two planes in three- and n-dimensional planes.

Now, in answer to the question posed;

F and G have coordinates of (-1,10) and (1,-12), respectively.

The formula for calculating the distance between points A and B is as follows:

FG² = (x₂ - x₁)² + (y₂ - y₁)²

FG = √[(x₂ - x₁)² + (y₂ - y₁)²]

The coordinates for the points F and G's  are-

(x₁,y₁) = (-4,0)   and (x₂,y₂) = (-6,-4).

Substituting the given values in the distance formula;

FG = √[(-6 + 4)² + (-4 + 0)²]

FG = √[(-2)² + (-4)²]

FG = √[4 + 16] = √20

FG  = 2√5 (magnitude of the vector FG)

Estimate the direction of this same vector FG now. The angle formed by a vector with a horizontal line defines its direction.

Use one of the following formulas to calculate the direction of a vector.

tan Ф = Δy/Δx

Where, x = horizontal change

and, y = vertical change

tan Ф = (y₂ - y₁)/(x₂ - x₁)

      = (-4 + 0)/(-6 + 4)

tan Ф = -4/(-2) = 2

Ф = 63.43°  (angle lies with in the first quadrant with anticlockwise direction).

As a result, the distance between F and G is determined to be 2√5. (the same as the magnitude of a given vector FG).

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For given equilateral triangle ΔRST, x = 2. And the measure of each side is 11 units.

In given question,

ΔRST is equilateral triangle.

We have been given some information about sides of ΔRST.

RS is three more than four times x.

We write above statement as mathematical expression.

RS = 3 + 4x

ST is seven more than two times x.

We write above statement as mathematical expression.

ST = 7 + 2x

and TR is one more than five times x.

We write above statement as mathematical expression.

TR = 1 + 5x

We need to find the value of x.

Since ΔRST is an equilateral triangle, RS = ST = RT

⇒ 3 + 4x = 7 + 2x = 1 + 5x

Consider 3 + 4x = 7 + 2x

⇒ 4x - 2x = 7 - 3

⇒ 2x = 4

⇒ x = 2

Now we find the measure of each side.

RS = 3 + 4x

RS = 3 + 4(2)

RS = 11 units

But RS = ST = RT

So, the measure of each side is 11 units.

Therefore, for given equilateral triangle ΔRST, x = 2. And the measure of each side is 11 units.

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Making C the subject of the formula, we have: C = 5(F - 32)/9.

Given the formula, F = 9/5C + 32, we are asked to solve the equation for C, this means we would make C the subject of the formula.

F = 9/5C + 32

Subtract 32 from both sides

F - 32 = 9/5C + 32 - 32

F - 32 = 9/5C

Multiply both sides by 5/9

5/9(F - 32) = 9/5C(5/9)

5(F - 32)/9 = C

C = 5(F - 32)/9

Therefore, making C the subject of the formula, we have: C = 5(F - 32)/9.

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Answer:

f(x) = |x + 2| + 1

Step-by-step explanation:

The graph of f(x) is translated 2 units to the left and 1 unit up

A horizontal translation of 2 units results in the original function being f(x +2)

A vertical translation of 1 unit happens at f(x) + 1

Horizontal translation of 2 units left of f(x) = |x| is f(x+2) = |x + 2|

Vertical translation of 2 units up : f(x) = |x| + 1

Combined we get g(x) = |x + 2| + 1

The sum of (6.9*10^6) and (5.9*10^5) is 7.49 * 10^6.

The arithmetically adding two or more numbers is called sum.

Scientific notation is a form of presenting a very small or very large number in simple form. it is in the form of multiplication of one digit with 10 raise to the power of respective exponent. plus power is used for huge number and minus power is used for tiny number.

Given numbers = 6.9 * 10^6 and 5.9 * 10^5

5.9 * 10^5 = 0.59 * 10^6

Sum of both numbers

= 6.9*10^6 + 0.59*10^6

= (6.9+0.59)*10^6

= 7.49*10^6

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The first term of the arithmetic sequence so formed is $20 and the common difference is $10.

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

To find: The first term and common difference of the arithmetic progression so formed.

Finding:

As the initial charge charged by the players is $20, it can be taken as the first term of the arithmetic sequence, at 0 hours; a₁ = 20

Now, since the hourly charge is $10, the given arithmetic sequence of the money charged will increase by $10 per hour; thus d = 10

The arithmetic sequence holds true for 5 hours maximum.

Thus the sequence so formed => [tex]a_n = 20 + (n - 1)10[/tex], 1 ≤ n ≤ 5.

Hence, The first term of the arithmetic sequence so formed is $20 and the common difference is $10.

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Answer:

[tex]p=11[/tex]

Step-by-step explanation:

[tex](5p+7)+(3p-5)=90\\8p+2=90\\8p=88\\p=11[/tex]

Brainliest Answer Please

Answer:

najua unanijuki bait ni sawa Bora

Answer: Area= 804.248

Step-by-step explanation:

The coordinate of points A, B, and C will be (0, a), (0, 0), and (a, 0), respectively.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

In an isosceles right triangle, the two legs of the triangle are congruent and intersect at right angles and their opposite angles are also equal.

The vertice C lies on the x-axis, then the coordinate of point C will be (a, 0).

The vertice A lies on the y-axis, then the coordinate of point C will be (0, a).

Then the coordinate of B will be at the origin which is (0, 0).

Thus, the coordinate of points A, B, and C will be (0, a), (0, 0), and (a, 0), respectively.

The diagram is attached below.

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Answer:

g(x)=f(x-2)+3

Step-by-step explanation:

Answer:

arithmetic

Step-by-step explanation:

The given sequence 2, 5, 9, 14,… is not an Arithmetic sequence.

The given sequence is 2, 5, 9, 14,…

Here, [tex] a_{1}[/tex] = 2, [tex] a_{2}[/tex] = 5 and [tex] a_{3}[/tex] = 9.

A sequence is considered as an Arithmetic sequence if their difference is equal. Represented as -

[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = [tex] a_{3}[/tex] - [tex] a_{2}[/tex] = [tex] a_{4}[/tex] - [tex] a_{3}[/tex] and so on

Now, in the given sequence

⇒[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = 5 - 3

[tex] a_{2}[/tex] - [tex] a_{1}[/tex] = 2

⇒ [tex] a_{3}[/tex] - [tex] a_{2}[/tex] = 9 - 5

[tex] a_{3}[/tex] - [tex] a_{2}[/tex] = 4

⇒ [tex] a_{4}[/tex] - [tex] a_{3}[/tex] = 14 - 9

[tex] a_{4}[/tex] - [tex] a_{3}[/tex] = 5

Since, the difference between the successive terms are not same.

∴ The given sequence 2, 5, 9, 14,… is not an Arithmetic sequence.

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The recursive definition for Q is Q(n) = Q(n-1) + 1.5

It refers to a "series where the deviations between every subsequent term are exactly the same" (or) "each term is acquired by adding a specific number (positive, negative, or zero) to its preceding term."

We have three values of sequence:

Q(1)=4

g(3)=7

Q(7)=13

Let us assume the sequence to be an arithmetic sequence

The n-th term of any arithmetic sequence is determined by:

[tex]a_{n}[/tex] = a+(n-1) d

Q(3)=Q(-1)+(3-1)d

7 =4+2d

2d = 3

d = 3/2

d = 1.5

Now, Q(7) = Q(1) + (-1)d

13 = 4+6 d

6d = 9

d = 9/3

d = 1.5

So, the d is the same for both terms.

Therefore, this is an arithmetic sequence.The recursive relation is given as [tex]a_{n}[/tex] = a(n-1)d.

Then, the recursive definition for Q is Q(n) = Q(n-1) + 1.5.

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The corresponding area and perimeter of the shapes assuming all are unit squares are {5,5) units² and {16,15} units.

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Let's assume all blocks that exist in shape are square with dimension units or one.

Now the area of the square is given as ;

A = Side² = 1² = 1

Since the number of squares in 20 is 5

So,

A = 5 unit²

The number of squares in 21 is also 5

So,

A = 5 unit²

Now,

The perimeter of the square as given;

P = 4× side

Since side in 20 are 16 so 16 units.

The side in 21 is 15 so 15 units.

Hence "The corresponding area and perimeter of the shapes assuming all are unit squares are {5,5) units² and {16,15} units".

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Answer: The answer is 304

Step-by-step explanation: The way to divide this is putting it this way 2432/8.

Answer:

Answer:

Step-by-step explanation:

A line segment is connected to the line or was formerly part of the line.

A line segment has an end and is a distance between two points, while a line could be undefinably long.

Line segments are finite between two points, while rays are just line segments that extend indefinitely into one direction.

A ray only has one endpoint. Line segments have two

The equation which can be used to represent the height of the door in centimeter is 900 = hb

Area of a rectangle = Height × width

900 = h × b

900 = hb

The door's height if its base is 25 centimeters wide?

Area of a rectangle = Height × width

900 = hb

900 = h × 25

900 = 25h

h = 900 /25

h = 36 centimeters

Therefore, the door's height if its base is 25 centimeters wide is 36 centimeters

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Answer: Ratio: 2:3

2 ==> 1st term

Step-by-step explanation:

22.78125/4.5=5.0625

5.0625^(1/(7-3))=

5.0625^(1/4)=1.5 ==> Ratio: 1:1.5 ==> 2:3

4.5 / 1.5^(3-1)=

4.5 / 1.5^2=

4.5 / 2.25 = 2 ==> 1st term

The first term (a) in the geometric progression is approximately 2.

The common ratio (r) is 1.5.

Here, we have to find the common ratio (r) and the first term (a) in the geometric progression, we'll use the formula for the nth term of a geometric sequence:

[tex]u_n = a * r^{(n-1)[/tex]

where:

[tex]u_n[/tex] is the nth term,

a is the first term,

r is the common ratio,

n is the position of the term in the sequence.

Given u3 = 4.5 and u7 = 22.78125:

For n = 3:

[tex]u_3 = a * r^{(3-1)}\\4.5 = a * r^2[/tex]

For n = 7:

[tex]u_7 = a * r^{(7-1)}\\22.78125 = a * r^6[/tex]

Now, we have two equations:

[tex]a * r^2 = 4.5\\a * r^6 = 22.78125[/tex]

Divide equation 2 by equation 1:

[tex](a * r^6) / (a * r^2) = 22.78125 / 4.5[/tex]

Simplify:

[tex]r^4 = 5.0625[/tex]

Now, take the fourth root of both sides to find the value of r:

r = √(5.0625)

r ≈ ± 1.5

Since r is the common ratio, it cannot be negative in a geometric progression.

So, the common ratio (r) is 1.5.

Now, we can find the first term (a) using equation 1:

[tex]a * r^2 = 4.5[/tex]

Substitute the value of r (1.5):

[tex]a * (1.5)^2 = 4.5[/tex]

a * 2.25 = 4.5

Divide by 2.25:

a ≈ 4.5 / 2.25

a ≈ 2

Therefore, the first term (a) in the geometric progression is approximately 2.

The common ratio (r) is 1.5.

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Answer:

D

Step-by-step explanation:

point P is in plane Z not plane X

The expression that can be used to find the perimeter of the triangle is P = 12x^2 - 6 and the perimeter when x = 1.5 is 21 inches.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Pablo folds a straw into a triangle with side lengths of 4x^2−3 inches, 4x^2−2 inches, and 4x^2−1 inches

Suppose the sides of the triangle are,

L = 4x^2−3 inches

B = 4x^2−2 inches

H = 4x^2−1 inches

Now since the perimeter is the sum of all the sides.

Thus, Perimeter of the given triangle is given as,

P = L + B + H

Putting the values we get,

P = (4x^2−3) + (4x^2−2) + (4x^2−1)

Expanding the brackets we get,

P = 4x^2 − 3 + 4x^2 − 2 + 4x^2 − 1

Taking alike terms together,

P = 4x^2 + 4x^2 + 4x^2 - 3 - 2 - 1

Now solving we get,

P = 12x^2 - 6

Thus is the expression for the perimeter of the triangle.

Now the perimeter when x  = 1.5

Put x  = 1.5 in the perimeter expression we get,

P = 12(1.5)^2 - 6

Solving we get,

P = 12*2.25 - 6

Solving we get,

P = 27 - 6

Thus we get,

P = 21 inches

this is the required perimeter when x = 1.5

Thus, the expression that can be used to find the perimeter of the triangle is P = 12x^2 - 6 and the perimeter when x = 1.5 is 21 inches.

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Answer:

12x2 −6; 21 inches

Step-by-step explanation:

Quinn, the student, is the fastest

Quinn: 30/60, or 1/2 page per second.

Quinn is the fastest student when it comes to folding pamphlets.

A polynomial divided by another polynomial is a rational function. The domain of a rational function is the set of all numbers excluding the denominator's zeros because polynomials are defined everywhere.

A rational function in mathematics is any function that can be defined by a rational fraction, which is an algebraic fraction in which both the numerator and denominator are polynomials.

Find the folding speed of the students per second.

Neiva: 1/3 pages per second.

Sarah: 2/10 or 1/5 pages per second.

Quinn: 30/60 or 1/2 pages per second.

Deron: 45/120 or 3/8 pages per second.

Among these students, Quinn is the fastest student in folding pamphlets.

Therefore, the correct answer is option b. Quinn.

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The coordinate of point L of the given square is; (0, 15)

Some of the properties of a square are that;

All four sides of a square are equal

All internal angles are equal to 90°

All internal angles are equal to each other

Diagonals intersect at right angles

No, from the given square we see that the coordinates are;

K(0, 0) and R(15, 0)

Since side KR would have a length of 15 units, then KL would also be equal to 15 units.

Thus, coordinate of point L is; (0, 15)

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Answer:

A) 96°

B) 84°

C) 84°

D) 96°

Step-by-step explanation:

∠2 = ∠5 = (180-84)° = 96°

∠3 = ∠4 = 84°

Hope this helps

Using proportions, the coordinates of the point 3/10 of the way from (-3,-8) to (12,6) are: (1.5, -3.8).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

We want a point C 3/10 of the way from A(-3,-8) to B(12,6), hence:

C - A = 3/10(B - A).

The x-coordinate of the point is found as follows:

x + 3 = 3/10(12 + 3)

x + 3 = 4.5

x = 1.5.

The y-coordinate of the point is found as follows:

y + 8 = 3/10(6 + 8)

y + 8 = 4.2

y = -3.8.

Hence the coordinates are: (1.5, -3.8).

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The independent variable is time on the x axis and the dependent variable is distance on the y-axis.

When making a time graph, the independent variable is the variable that is shown by the x-axis. Time will usually be the independent variable because we cannot change time so we watch for the changes in other things as time goes on.

In this case therefore, the independent variable is time which will be shown as the x-values. The dependent variables would then be the distance which would be the y-values.

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