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

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

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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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

Answer:

1/3

Step-by-step explanation:

9 Shirts, 3 are Red

Probability: 3/9

Simplify: 1/3

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

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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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:

Answer: C≈44.61mm

Step-by-step explanation:

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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Answer:

the answer is a) he was confused the height

Step-by-step explanation:

Answer:

Step-by-step explanation:

(A) He confused the height and the diameter.

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

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

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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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.

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

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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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.

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:

Step-by-step explanation:

Similar figures have same ratio of corresponding sides.

The scale factor is:

The width of the smaller television is:

Perimeter:

Correct choice is H

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:

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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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)

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:)

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

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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Answer:

3

Step-by-step explanation:

because x + (-12) =-9

so x= -9 +12

x = 3

Answer:

2.852 • 10⁻⁵

Step-by-step explanation:

Solve for 40(7.13 • 10⁻³)

285.2 • 10⁻³ = 2.852 • 10⁻⁵

We can solve the inequality to get:

h ≤ -3

And its graph can be seen below.

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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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

Answer:

.l,´mfkf jh h

Step-by-step explanation:

Answer:

-13 to the fifth power.

The solution to the inequality expression is x > -84

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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Answer:

because it will bounce high and hit something.

Step-by-step explanation:

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.

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?