Find the geometric mean of 14 and 20. Answer in simplest form

Answers

Answer 1

The Geometric Mean (GM) is the average value or mean that, in mathematics, represents the centre tendency of a group of numbers by calculating the product of their values.

What is geometric mean?

The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.

The geometric mean can be calculated in two steps: To obtain their product, multiply all values collectively. Calculate the product's nth root (n is the number of values).

The geometric mean of 14 and 20 must be determined. Let's see the numbers:

a = 14 and b = 20

For two numbers, the geometric mean is calculated as follows:

[tex]$M=\sqrt{a b}$[/tex]

Filling in the values as shown in the formula above:

[tex]$M=\sqrt{14 \times 20}$$M=\sqrt{7 \times 2 \times 5 \times 4}$$M=16.73$[/tex]

Therefore, the answer is 16.73.

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Answer 2

The required geometric mean of 14 and 20 is 16.73.

What is geometric mean?

The Geometric Mean (GM) in mathematics is the average value or mean that represents the centre tendency of the group of numbers by calculating the product of their values. Basically, n is the entire amount of data values, and we multiply the numbers collectively before taking their nth root.

The geometric mean can be calculated in two steps: To obtain their product, multiply all values collectively. Calculate the product's nth root (n is the number of values).

The geometric mean of 14 and 20 must be determined. Let's see the numbers:

a = 14 and b = 20

For two numbers, the geometric mean is calculated as follows:

G.M = [tex]\sqrt{ab}[/tex]

Filling in the values as shown in the formula above:

G.M = [tex]\sqrt{14(20)}[/tex]

G.M = [tex]\sqrt{280}[/tex]

Therefore, the answer is 16.73.

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Related Questions

What is 2 point midpoint?

Answers

The 2-point midpoint formula is a method for finding the equation of a line that passes through the midpoint of two given points.

The formula for the 2-point midpoint is:

y - y1 = m(x - x1)

Where (x1, y1) and (x2, y2) are the two given points, and m is the slope of the line.

The slope of line is calculated by (y2-y1)/(x2-x1)

By using the midpoint of two given points, the 2-point midpoint formula eliminates the need for calculating the y-intercept of the line, which can save time and effort. It is particularly useful when working with geometric figures or real-world applications that involve moving objects or changing data. It also helps in predicting the values of future point when we know the past point.

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Brenna owns 9 T-shirts, 3 of which are red.
If Brenna randomly selects a T-shirt to wear, what is the probability it will be red?

Answers

Answer:

1/3

Step-by-step explanation:

9 Shirts, 3 are Red

Probability: 3/9

Simplify: 1/3

can someone help me out!! show work and i’ll make brainliest!!

Answers

1. X=3 since the graph seems to be going in a straight direction on the y axis
2. Y=2 since the graph seems to be going in a straight direction on the x axis
3. X=-2 since the graph seems to be going in a straight direction on the y axis

Answer:

X=3

Y=2

X=-2

Step-by-step explanation:

Since the graph appears to be moving in a straight line on the y axis

Since the graph appears to be moving in a straight line on the x axis

Since the graph on the y axis appears to be moving in a straight line.

Solve the inequality. Graph the solution.
-1/3h > or equal to 8
(step by step equation)

Answers

We can solve the inequality to get:

h ≤ -3

And its graph can be seen below.

How to solve the inequality?

Here we have the following inequality:

-(1/3)*h ≥ 8

To solve the inequality, we need to isolate h.

So we can multiply both sides by -3 (notice that this will change the sign of the inequality symbol)

So we will get:

-3*(-1/3)*h ≤ -3*h

h ≤ -3

Now to graph this, we need to draw a closed circle at -3, and draw an arrow that gose to the left.

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JUST ONE MORE PLZ! THANK YOU BTW

Answers

Answer:

Sorry, it's actually the third one, 4.8 feet

Step-by-step explanation:

First, you divide the length of the family room tv by the length of the tv in Louise's room

5 divided by 1.5 equals 3.33

Then, you divide the width of the family room tv to get the width of Louise's tv

3 divided by 3.33 is 0.9

Now, you follow the formula for perimeter.

(0.9 + 1.5) x 2 = 4.8

The perimeter of Louise's tv is 4.8 feet.

Answer:

H. 4.8 ft

Step-by-step explanation:

Similar figures have same ratio of corresponding sides.

The scale factor is:

1.5/ 5 = 3/10

The width of the smaller television is:

3*3/10 = 9/10 = 0.9

Perimeter:

P = 2(w + l)P = 2(1.5 + 0.9) = 4.8 ft

Correct choice is H

One angle of a triangle meaure 140°. The other two angle are in a ratio of 3:5. What are the meaure of thoe two angle

Answers

One angle of a triangle measure 140°. The other two angles are in a ratio of 3:5.The smaller angle would measure 84°, and the larger angle would measure 56°. This can be found through the use of basic trigonometry.

A triangle is a three-sided polygon with three angles that add up to 180°. Since one of the angles is already known, the remaining two angles can be calculated by subtracting 140° from 180°, which equals 40°. This 40° can then be divided by the ratio 3:5, which is 8° and 32°.

If 8° is the smaller angle, then 32° must be the larger angle. To convert 8° and 32° to the final answer of 84° and 56°, 8° must be multiplied by 10 and 32° must be multiplied by 5. This gives a total of 84° and 56° for the other two angles.

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One angle of a triangle measures 140°. The other two angles are in a ratio of 3:5. What are the measures of that two angles?

A line that includes the points (k,

4) and (5,

2) has a slope of

1. What is the value of k?

Answers

The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).

So we can substitute these values into the formula:

-1 = (-2 - (-4)) / (5 - k)

-1 = 2 / (5 - k)

-1 × (5 - k) = 2

-5 + k = 2

k = 2 + 5

k = 7

Therefore, the value of k is 7.

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9,16,21
is a right triangle

Answers

Answer: Yes

Step-by-step explanation:

a right triangle is ... 9, 12, 15, 40, 41. 10, 24, 26. 12, 16, 12, 35, 37. 14, 48, 50. 15, 20, 25. 15, 36, 39. 16, 30, 34. 18, 24,  21, 29, 28, 35, 32, 40. 27, 36, 45. 40, 50

how is a ball dropped from a roof interesting ?

Answers

Answer:

because it will bounce high and hit something.

Step-by-step explanation:

For which function is the average rate of change over the interval 1 < x < 5 greater than the average rate of change over the same interval for the function g(x) = 1. 8x2?

Answers

The function g(x) = 1. 8x2 greater than the average rate is k(x) = 2x^2

How to calculate average rate?

The average rate is a measure of how quickly a quantity changes over a specific period of time. It can be calculated by dividing the change in the quantity by the change in time. The formula for calculating the average rate is:

Average rate = (final value - initial value) / (final time - initial time)

Given a function y, the average rate of change S of y = f(x)  in an interval (Xs, Xf)  will be given by the following equation:

In this problem, we have that:

Interval (1,5), so

Then

S = f(5) - f(1)/4

All options are compared to g(x).

g(5) = 1.8*(5)^2 = 45

g(1) = 1.8*(1)^2 = 1.8

An average rate of change greater than 10.8.

D.=k(x) = 2x^2

k(5) = 2*(5)^2 = 50

k(1) = 2*(1)^2 = 2

Greater than 10.8, this is the answer.

Hence, The function g(x) = 1. 8x2 greater than the average rate is k(x) = 2x^2

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Choose the graph that represents the equation y = –|x – 1|.

Answers

The second photo is the correct graph.

x +96 > 12 solving inequalities

Answers

The solution to the inequality expression is x > -84

How to determine the solution to the inequality

From the question, we have the following parameters that can be used in our computation:

x +96 > 12

Subtract 96 from both sides of the inequality expression

So, we have the following representation

- 96 + x +96 > 12 - 96

Evaluate the like terms

x > -84

Hence, the solution is x > -84

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circumference of the circle. if the radius is 7.1mm

Answers

Answer: C≈44.61mm

Step-by-step explanation:

sandwiches are being bought bye us--passive to active​

Answers

we’re buying sandwiches.

Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.



Popcorn Sales
Popcorn Cost ($)
Number Sold
Over w Weeks

Buttered 11 8w+9
Caramel 11 6w−1


After 12 weeks, how much more will he have made in sales of buttered popcorn than the sales of caramel popcorn?

Answers

In the transaction, he will receive $374 more in sales of buttered popcorn than caramel popcorn.

What are mathematical operations?

An operation, often known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

Given, Derek owns a snack shop where he sells tins of buttered and caramel popcorn. The table shows the number of each type of popcorn sold over w weeks.

Popcorn Sales     Popcorn Cost ($)      Number Sold Over w Weeks

Buttered                   11                                        8w+9

Caramel                    11                                        6w−1

After 12 weeks of total buttered popcorn, he will make the sale

= $11 * (8*12 + 9)

= 11 * (96 + 9)

= $1,155

After 12 weeks of total caramel popcorn, he will make the sale

= $11 * (6*12 - 1)

= $11* (71)

=$781

In the sale, he will get more sales in buttered popcorn than sales in caramel popcorn by 1,155 - 781 = $374

Therefore, He will make $374 more in sales of buttered popcorn than caramel popcorn during the sale.

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What is the value of the discriminant of the given equation 2x^2 4x 3?

Answers

The discriminant of the given quadratic equation 2x² - 4x + 3 = 0 is -8.

The standard form of quadratic equation is ax² + bx + c = 0

Compare the given equation with its standard form

a = 2, b = -4, c = 3

We know that

D = b² - 4ac

Substitute the values in the formula

D = (-4)² - 4(2)(3)

⇒ D = 16 - 24

⇒ D = -8

Since D < 0

Therefore, the given equation has no real roots.

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Volleyball practice is h hours long. Debbie had 3 volleyball practices last week. Choose the expression that shows the number of hours of practice.

Answers

The number of hours of practice is 3 x h or 3h.

What is the number of hours of practice?

In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.

Given:

Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.

Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.

The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.

Number of hours of practice

= hours of practice x number of practice

= 3 x h

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Use scientific notation to find the product of 7.13 • 10^-3 and 40 (help please)

Answers

Answer:

2.852 • 10⁻⁵

Step-by-step explanation:

Solve for 40(7.13 • 10⁻³)

285.2 • 10⁻³ = 2.852 • 10⁻⁵

I WILL GIVE BRAINLY! PLEASE HELP!

3x + 1 over 4y2

What is the value of the expression above when x = 3 and y = 4?

Answers

Answer:

he expression is undefined where the denominator equals

0

, the argument of an even indexed radical is less than

0

, or the argument of a logarithm is less than or equal to

0

.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Step-by-step explanation:

What is the equation of the line in
point-slope form that passes through the
points (-1, 1) and (1, -2)?

Answers

Answer:

A) y-1=-3/2(x+1)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-1)/(1-(-1))

m=-3/(1+1)

m=-3/2

y-y1=m(x-x1)

y-1=-3/2(x-(-1))

y-1=-3/2(x+1)

Write (−13)⋅(−13)⋅(−13)⋅(−13)⋅(−13) using exponents. Fastttttttttttttttttttttttttttttttt

Answers

Answer:

.l,´mfkf jh h

Step-by-step explanation:

Answer:

-13 to the fifth power.

Vaughn is calculating the volume of the cylinder below using the following work.

A cylinder with height of 24 centimeters and diameter of 5 centimeters.



What was Vaughn’s first error?
He confused the height and the diameter.
He squared 12 instead of 24.
He applied the exponent before multiplying 12 and 5.
He used the wrong units in his final answer.

Answers

Answer:

the answer is a) he was confused the height

Step-by-step explanation:

Answer:

(A)

Step-by-step explanation:

(A) He confused the height and the diameter.

I need the answer to this question please!

Answers

The equivalent expression of 5[tex]x^{3/2}[/tex] is  5√(x³). The correct option is last one.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression,

5[tex]x^{3/2}[/tex]

To find the equivalent expression:

We have to simplify the expression,

5[tex]x^{3.1/2}[/tex]

= 5(x³)[tex]){1/2}[/tex]

= 5√(x³)

The above expression is an equivalent expression.

Therefore, 5√(x³) is an equivalent expression.

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The product of two rational number is -9 . if one of the numbers is -12, find the other​

Answers

Answer:

3

Step-by-step explanation:

because x + (-12) =-9

so x= -9 +12

x = 3

The volume of a cylinder is 24 cubic feet. The height is 6 feet.
Determine the radius of the cylinder. Use 3.14 for pi.

Answers

Answer:

1.13 ft

Step-by-step explanation:

use the equation then fill in the missing values. when you have your answer round to the nearest thousandths.

Rewrite 21/3 as a whole number

Answers

Answer:

7

Step-by-step explanation:

As we want to find the whole number, and to do so we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

21/3 = 7

Please help I will give you brainiest!!!
Find the x- and y-intercepts if the graph of -9x+2y=14. State your answers as whole numbers or as improper fractions in simplest form.

Answers

9514 1404 393

Answer:

  x-intercept: -14/9

  y-intercept: 7

Step-by-step explanation:

This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.

  -9x = 14 . . . . . set y=0

  x = -14/9 . . . . divide by -9

__

To find the y-intercept, set x=0 and divide both sides by the coefficient of y.

  2y = 14 . . . . set x=0

  y = 7 . . . . . . divide by 2

The x-intercept is -14/9; the y-intercept is 7.


Uriah buys 5 reams of paper and 3 ink cartridges for $131. Yasmine buys 2 reams of paper and 5 ink cartridges for $174. How much does one ream of
paper cost? How much does one ink cartridge cost?

Answers

Answer:

uriah reams cost $26.2 and uriah's ink cost $43.6,for yasmine's reams it costs $87 and for the ink it costs $34.8

Step-by-step explanation:

hopefully it helps:)

Please help meeeeeeeee

Answers

Answer:

24 units²

Step-by-step explanation:

Surface area of a cube = 6a² , where a = the side given

=> 6(2)²

=> 6(4)

=> 24 units²

Hope this helps!

Answer:

2(length) x 2(width) = 4(area of 1 square),

4(area of one square) x 6(there are six sides of a cube) = 24 squared

simplify when x=4 4x/2x^2

Answers

Answer:

1/2

Step-by-step explanation:

Did you mean "evaluate?"

Write out the expression

   4x/2x^2

and simplify it:  

    4x            2

---------- = ---------- after reduction

  2x^2           x

Now substitute 4 for x.  We obtain:

2/4 = 1/2

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