What is the geometric mean of 8 and 22 in simplest form?
A. 4 √11
B. 15
C. 16√11
D. 176

Hi! I'm just answering questions for points.

The answers are given below:-

The length of one side of the garage​ originally was 17.9 ft.

The length of one side of the garage​ now is 21.9 ft.

The percent increase in the length of one​ side was 22.35%.

The area of a square of side s is given by s squared, that is:

A = s².

The original area was 320 ft², hence the original length was:

s² = 320

s = √(320)

s = 17.9 ft.

The area increased by 50%, hence the new area is:

A = 1.5 x 320 = 480 ft².

The current length of one side is:

s² = 480

s = √(480)

s = 21.9 ft.

The percent increase is the change divided by the initial length and multiplied by 100%, hence:

(21.9 - 17.9)/17.9 x 100% = 22.35%.

The percent increase in the length of one​ side was 22.35%.

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From the figures and the properties of the parallelogram was possible to find that: UT=27, ST=18, RV=7 and US=14.

There are different quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  the opposite sides are equal and parallel, for a parallelogram. In a parallelogram is noted too that the opposite angles and the diagonals are equal.

From the properties: the opposite sides are equal and parallel for a parallelogram. It is possible to find:

UT=RS=27

ST=RU=18

Considering that UV=7, then VS= 7 since V is the midpoint of the diagonal US. Therefore, US=14.

From the property: the diagonals are equal for a parallelogram. It is possible to find:

US=RT=14

RV=RT/2=14/2=7

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Answer: D, reciprocal parent function

Step-by-step explanation:

The complete table for the electrician charges is shown below:

               x                  y

               1                 125

               2                175

               3                225

               4                275

According to the statement, there are two variables. First, the number of hours of work (x) and, second, the total fee. The total fee changes linearly with the number of hours and the expression is defined below:

y = x' + (Δy / Δx) · x      (1)

Where:

If we know that x' = 75, Δx = 1 h and Δy = 50, then the values of the table are shown below:

x = 1

y = 75 + 50 · 1

y = 125

x = 2

y = 75 + 50 · 2

y = 175

x = 3

y = 75 + 50 · 3

y = 225

x = 4

y = 75 + 50 · 4

y = 275

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Answer:

correct

Step-by-step explanation:

So the acute angle between the vectors is 7.122° (3sf). Explanation: The angle θ between two vectors →A and →B is related to the modulus.

The standard form of a given number is scientific notation which is given by the form of exponents of ten and written as 5.67 ×10⁵.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.

Standard form is a way of writing down in the easy form very large or very small numbers.

Let E is the standard form of a given number

E = 567000

E = 500000 + 67000 + 7000

E = 0.567 × 10⁶ = 5.67 ×10⁵

E = 5.67 × 10⁵

Hence, the standard form of a given number is 5.67 ×10⁵.

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Answer:

-6.2

=

7°c ÷ 5hrs (difference between 3pm to 8pm)= 1.4

3×1.4= 4.2

7+4.2=11.2

5-11.2=-6.2

(sorry if it's wrong)

Answer:

m<LHK = 101

Step-by-step explanation:

Ok, so the straight line is equal to 180 degrees. And we already know the side of one angle, that is 79 degrees. So, simply subtract 79 from 180, and you get 101 degrees. I took geometry last year, and this might not be the "correct" way to do it, but it is easier and you get the same correct answer

Answer:

<LHK = 101

Step-by-step explanation:

angle on a straight line add up to 180

180 - 79 = 101

Answer:

Give brainliest - the crown thingy.

2*2*2*2*5

Or

2^4 * 5

The * is the symbol on my keyboard for the multiplication symbol.

Step-by-step explanation:

The solution of the above equation 7 + b = 11(b - 3) is b = 4.

According to the given question.

We have a linear equation in one variable

7 + b = 11(b - 3)

Since, we have to solve the above equation for b.

As we know tha, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofore, the solution of the above equation 7 + b = 11(b - 3) is given by

7 + b = 11(b - 3)

⇒7 + b = 11b - 33                       ( distributive property)

⇒ 7  = 11b - b - 33           (subtract b from both the sides)

⇒ 7 = 10b -33

⇒ 7 + 33 = 10b   ( adding 33 both the sides)

⇒ 40 = 10b

⇒ 40/10 = b    ( dividing by 10 both the sides)

⇒ 4 = b or b = 4

Therefore,  the solution of the above equation 7 + b = 11(b - 3) is b = 4.

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The quadratic expression is 64[tex]x^{4}[/tex] + 16x³ + 2.

The quadratic expression:

Any expression with the variables of the highest exponent or the expression's degree as 2 is a quadratic expression.

The given expression is 8x²2x( 1 + 4x) + 2

An expression of the form ax² + bx + c, where a ≠ 0 is called a quadratic expression.

8x²2x( 1 + 4x) + 2

Now apply the distributive property we have

8x² × 2x + 8x² × 2x × 4x + 2

16x³ + 64 [tex]x^{4}[/tex] + 2

64[tex]x^{4}[/tex] + 16x³ + 2

Therefore the quadratic expression is 64[tex]x^{4}[/tex] + 16x³ + 2.

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The acceleration of the object is 2 m/s²

From the question, we are to determine the acceleration of the object

From Newton's second law of motion, we have that

F = ma

∴ a = F/m

Where F is the net force

m is the mass

and a is the acceleration

From the given information,

m = 5kg

From the diagram,

Net force = 30 N - 20N

Net force = 10 N

Then,

a = F/m

a = 10/5

a = 2 m/s²

Hence, the acceleration of the object is 2 m/s²

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The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

Convert the standard equation into a vertex form, then we have

x² + (b/a)x + (c/a) = 0

x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be

(x - h)² + k = 0

The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.

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Do you mean Kay Flock? Because they are a rapper.

https://en.m.wikipedia.org/wiki/Kay_Flock

Step-by-step explanation:

Step 1: Draw any angle, say ∠ABC. Step 3: Now, taking D and E as centers and with the same radius as taken in the previous step, draw two arcs to intersect each other at F. Step 4: Join B to F and extend it as a ray. This ray BF is the required angle bisector of angle ABC.

The missing item in the given geometric sequence is: [tex]\frac{4}{15}[/tex].

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.

Given: [tex]\frac{2}{5}[/tex], ___, [tex]\frac{8}{45}[/tex]

Here, Let b = missing term of the geometric sequence.

By using the concept of geometric mean, we can find the missing term; geometric mean is used to find the mean, i.e., the middle term between two terms.

GM = [tex]\sqrt{(term_1)(term_2)}[/tex]

Here, b = [tex]\sqrt{\frac{2}{5}\times\frac{8}{45}}[/tex]

=> b = [tex]\sqrt{\frac{16}{25\times9}}[/tex]

=> b = [tex]\frac{4}{5\times3}=\frac{4}{15}[/tex]

Hence, The missing item in the given geometric sequence is: [tex]\frac{4}{15}[/tex].

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f (3) =  -2 is the output for the given input .

How can you tell whether a function is linear or not?

f(x)= (7/3)x- 9

Put x = 3    ⇒   7 * 3/3 - 9

                ⇒   7 - 9

                ⇒   -2

Therefore f (3) =  -2

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The value of the x in the vertical angles are the 7/2.

According to the statement

We have to find that the value of the x in the given angles.

So, For this purpose, we know that the

An angle is formed when two straight lines or rays meet at a common endpoint.

From the given information:

If angle A is 4x+2 and angle B is 11x.

Then from the given figure, The given angles are the verticals.

We know that the Verticals angles are equal.

Then

4x+2 = 11x

7x = 2

x = 2/7.

Here the values of the x in the given vertical angles are 7/2.

So, The value of the x in the vertical angles are the 7/2.

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[tex]V = 1.17 * 10^{-29} m^{3}[/tex]  is  volume of a sphere is a function .

What is surface area of volume?

The quantity of surface area per unit volume of an object or collection of objects is known as the surface-area-to-volume ratio, sometimes known as the surface-to-volume ratio and variously abbreviated as sa/vol or SA:V.

Convert the radius from picometers to meters

r = 141     pm = 1.41 * [tex]10^{-10} m[/tex]

V  = 4/3 π r³

 = 4/3 π  ( 1.41 * [tex]10^{-10}[/tex])³

[tex]V = 1.17 * 10^{-29} m^{3}[/tex]

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the answer to this question is

O h(x) = 1/4x

The value of (k)/(h) from the graph of a line that goes through the origin is 4.

A line graph joins distinct data points that generally show quantitative values across an interval. Line graphs have two axes:

From the image attached below, the value of (h,k) as translated on the graph in the negative x and y axis shows that:

However, we are to determine the value of (k)/(h):

i.e.

(k)/(h) = -4/-1

(k)/(h) = 4

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Answer:

corresponding angles are equal

Step-by-step explanation:

89*=(6x+5)*

89-5=6x

84=6x

x=14

I hope I could help.

Answer: The number 8,000 represents the change in height necessary to dodge the storm.

The integer representing the altitude after passing the storm is 30,000

Use appropriate tools, draw a number line to represent the airplanes changed altitude = 34000

Step-by-step explanation:

In the picture that is attached, the diagram for this query is displayed.

We are informed that the aircraft's starting height was 30,000 feet.

A. What integer represents the airplane's change in altitude to avoid the storm.?

During the storm:

The plane flew at at altitude of 38,000 feet

We will deduct the end altitude from the starting altitude to obtain the change in altitude.

change of altitude = final altitude - initial altitude

change of altitude = 38,000 - 30,000

                               = 8,000 ft

Therefore, the integer representing the change of altitude to avoid the storm is 8,000

B. What integer represents the airplanes change in altitude immediately after passing the storm?

After the storm:

We are aware that the aircraft returned to its original height following the storm.

The number reflecting the altitude after passing the storm would be 30,000 ft given that the starting altitude is 30,000 ft.

C. Use appropriate tools, draw a number line to represent the airplanes changed altitude.​

See a picture.

Use appropriate tools, draw a number line to represent the airplanes changed altitude = 34000

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The correct form of the partial fraction decomposition for the expression 7x+18/x^2+9x is  2/x + 5/(x + 9).

What is the Fraction?

Here,

x ² + 9x = x (x + 9), so the partial fraction decomposition would be

(7x + 18) / (x ² + 9x) = a/x + b/(x + 9)

where a, b are some constants. To find them, multiply both sides by x ² + 9x :

7x + 18 = a (x + 9) + bx

Solve for a and b :

7x + 18 = (a + b) x + 9a

[ a + b = 7

[ 9a = 18

→   a = 2, b = 5

So

(7x + 18) / (x ² + 9x) = 2/x + 5/(x + 9)

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The coordinates of Parallelogram CDEF after a reflection across y = x are C'(-1,2), D'(1,7), E(-2,6) and (-4,1)

What does coordinate mean in this case?

We want to find the coordinates of Parallelogram CDEF with vertices C(2, -1), D(7,1), E(6,-2), and F(1,-4) after a reflection across y = x.

We can find these coordinates by following the following rule:

Reflection over y = x rule : ( x , y ) ---> ( y , x )

the x and y values simply swap places .

Applying rule to coordinates:

C(2,-1) --- swap 2 and - 1 ---> C'(-1,2)

D(7,1) --- swap 7 and 1 ---> D'(1,7)

E(6,-2) --- swap 6 and -2 ---> E'(-2,6)

F(1,-4) --- swap 1 and -4 ---> F'(-4,1)

The coordinates of Parallelogram CDEF after a reflection across y = x are C'(-1,2), D'(1,7), E(-2,6) and (-4,1)

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Answer:

-4

Step-by-step explanation:

In this case, rate of change will be equivalent to the gradient of the line.

Standard form of Equation of Line:

y = mx + c

where

m = Gradient

c = y - intercept

From the given information, we can substitute x = -1 and y = 0, and c = b = -4 (y-intercept) to find m (Gradient)

0 = -1m - 4

m = -4

Therefore, the rate of change is -4.

The new function of T that models the real-world situation in terms of N is T = 560N + 750

The equations of the functions are given as

A = 165N + 750

B = 395N

From the question, we understand that

T = A + B

Substitute the known values in the above equation

So, we have

T = 165N + 750 + 395N

Collect the like terms in the above equation

So, we have

T = 165N + 395N + 750

Evaluate the like terms in the above equation

So, we have

T = 560N + 750

Hence, the new function of T that models the real-world situation in terms of N is T = 560N + 750

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The direct variation is y = 3/2 x, the value of y for x = 3 is 9/2.

A direct variation is defined as having variables that are directly proportional. When one variable's value rises, the other variable's value rises as well, and vice versa. Assuming k is constant, the following is how a direct variation is expressed:

y=kx

As y varies directly with x,

using direct variation,

y = kx

given, y = 3/4 when x = 1/2,

⇒ 3/4 = k 1/2

⇒ k = 3/2

when x = 3,

the value of y will be -

y = kx

⇒ y = 3/2. 3

⇒ y = 9/2

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