give at least 2 example of radical expression that uses the indicated laws on radicals​

Answer:

A

Step-by-step explanation:

Sea level is defined as 0 ft and anything above or below is not sea level so

So . .

If the landing strip is 60 feet below sea level and the plane is flying 2000 feet above sea level just add them together

According to attachment

Distance

Answer:

\(\frac{9}{100}\)

Step-by-step explanation:

Given:

Number of red balls, n(R) = 3

Number of green balls, n(G) = 9

Number of yellow balls, n(Y) = 2

Number of orange balls, n(O) = 2

Number of purple balls, n(P) = 4

Two balls are drawn one at a time with replacement.

To find:

Probability of drawing a green ball and an orange ball ?

Solution:

Total number of balls, n(Total) = 3 + 9 + 2 + 2 + 4 = 20

Formula for probability of an event E is given as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Probability that a green ball is drawn at first:

\(P(Green) = \dfrac{\text{Number of Green balls}}{\text {Total number of Balls}}\)

\(P(Green) = \dfrac{9}{20}\)

Now, the ball is replaced , so total number of balls remain the same i.e. 20.\(P(Orange) = \dfrac{\text{Number of Orange balls}}{\text {Total number of Balls}}\)

\(P(Orange) = \dfrac{2}{20} = \dfrac{1}{10}\)

\(P(Green\ then\ orange) = P(Green) \times P(Orange)\\\Rightarrow P(Green\ then\ orange) = \dfrac{9}{10} \times \dfrac{1}{10}\\\Rightarrow P(Green\ then\ orange) = \bold{ \dfrac{9}{100} }\)

Answer:

8.

Step-by-step explanation:

40 ÷ 8 = 5. :)

5x?=40    ?=8.

___________________________________________Done

Answer:

Step-by-step explanation:

Answer:

31.50 for 14 tickets

Step-by-step explanation:

We can use ratios to solve

4 tickets          14 tickets

--------------   = --------------------

9 dollars          x dollars

Using cross products

4x = 9*14

4x =126

Divide each side by 4

4x/4 = 126/4

x =31.50

3 painters would take 3/4 hour (or 45 minutes) to complete the same job.

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

6 painters can paint the classrooms in 4 1/2 hours or 9/2 hours.

Therefore, we can write:

W = 1 job (painting the classrooms)

R = (6 painters) x (1 job / (9/2) hours) = 12/9 jobs per hour = 4/3 jobs per hour

T = unknown (what we're trying to find)

Where W = amount of work to be done

R = rate of work (number of classrooms painted per hour)

T = time to complete the work

Now we can use the formula:

time = (work) / (rate)

to solve for T:

T = W / R

T = 1 job / (4/3 jobs per hour)

T = 3/4 hour

Therefore, T = 3/4 hour.

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Answer: Sure, I can help you with that! Here's a step-by-step guide on how to calculate the binomial coefficient C(n, k) using the formula:

C(n, k) = n! / (k! * (n - k)!)

where "!" denotes the factorial function.

Step 1: Input the values of n and k.

Let's say you want to calculate C(5, 2), which is the binomial coefficient of choosing 2 items from a set of 5 items. In this case, n = 5 and k = 2.

Step 2: Calculate k! and (n - k)!

In our example, k = 2, so k! = 2! = 2 * 1 = 2, and (n - k) = (5 - 2) = 3, so (n - k)! = 3! = 3 * 2 * 1 = 6.

Step 3: Calculate n!

n! = 5 * 4 * 3 * 2 * 1 = 120

Step 4: Calculate C(n, k)

C(n, k) = n! / (k! * (n - k)!) = 120 / (2 * 6) = 120 / 12 = 10

Therefore, C(5, 2) = 10, which means there are 10 ways to choose 2 items from a set of 5 items.

Step-by-step explanation:

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

\(\sin x-\sin y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\sin\bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\cos\bigg(\dfrac{x-y}{2}\bigg)\)

Proof LHS →  RHS

\(\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin 2A+\sin 5A-\sin A}{\cos A+\cos 2A+\cos 5A}\)

\(\text{Regroup:}\qquad \qquad \qquad \dfrac{\sin 2A+(\sin 5A-\sin A)}{\cos 2A+(\cos 5A+\cos A)}\)

\(\text{Sum to Product:}\qquad \dfrac{\sin 2A+2\cos\bigg(\dfrac{5A+A}{2}\bigg)\sin\bigg(\dfrac{5A-A}{2}\bigg)}{\cos2A+\cos\bigg(\dfrac{5A+A}{2}\bigg)\cos\bigg(\dfrac{5A-A}{2}\bigg)}\)

\(\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A+2\cos 3A\sin 2A}{\cos 2A+2\cos 3A\cos 2A}\)

\(\text{Factor:}\qquad \qquad \qquad \dfrac{\sin 2A(1+2\cos 3A)}{\cos 2A(1+2\cos 3A)}\)

\(\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A}{\cos 2A}\\\\.\qquad \qquad \qquad \qquad =\tan 2A\)

LHS = RHS:  tan 2A = tan 2A  \(\checkmark\)

To calculate the areas of the figures below, we need to use the formula for the area of each shape and plug in the given measurements.

1. Figure O: It is not clear what shape Figure O is, so we cannot calculate its area.
2. Figure 3: This is a rectangle, so we can use the formula for the area of a rectangle, which is length x width. The length is 4 yards and the width is 3 yards, so the area is 4 x 3 = 12 square yards.
3. Figure 4: This is a trapezoid, so we can use the formula for the area of a trapezoid, which is 1/2 x (base 1 + base 2) x height. The bases are 4 yards and 12 yards, and the height is 2 yards, so the area is 1/2 x (4 + 12) x 2 = 16 square yards.
4. Figure lo: It is not clear what shape Figure lo is, so we cannot calculate its area.
5. Figure 2: This is a square, so we can use the formula for the area of a square, which is side x side. The side is 4 yards, so the area is 4 x 4 = 16 square yards.
6. Figure 12: It is not clear what shape Figure 12 is, so we cannot calculate its area.
7. Figure ro: It is not clear what shape Figure ro is, so we cannot calculate its area.

8. Figure 100: This is a triangle, so we can use the formula for the area of a triangle, which is 1/2 x base x height. The base is 10 yards and the height is 20 yards, so the area is 1/2 x 10 x 20 = 100 square yards.
In summary, we can calculate the areas of Figures 3, 4, 2, and 100, but we do not have enough information to calculate the areas of Figures O, lo, 12, and ro.

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Answer:

5 units

Step-by-step explanation:

in a 30-60-90 triangle, the hypotenuse is 2 times the value of the shorter leg. So, if the hypotenuse is 10, then the shorter leg will be 5 units because 10 ÷ 2 is 5.

If one of the three machines breaks down before starting the service, it would take the remaining two machines longer to meet the demand. If each machine can produce the same amount of material, it would take each machine 24 hours / 3 machines = 8 hours to perform the entire service.

So, with two machines working, it would take each machine 8 hours / 2 machines = 4 hours to complete the job. Thus, the total time to meet the demand would be 4 hours * 2 machines = 8 hours.

Answer:

25 km

Step-by-step explanation:

1 km in 4m

so

100/4 = 25

25km

The area of the complex figure is 1863 m².

What is area?

Area is a measure of the size or extent of a two-dimensional surface or shape, such as a square, circle, or rectangle. It is the amount of space inside the boundaries of a shape, usually measured in square units such as square meters (m²), square feet (ft²), or square centimeters (cm²).

The area of give figure :

= area of two rectangles + area of middle rectangle

we know that area of rectangle is length* breadth

so, area of give two rectangles = 2 × length × breadth

                                                  = 2 × 31 × 23

                                                   = 1426m²

similarly, area of the middle rectangle  = length × breadth

                                                                =  (69-23-23) × (31-12)

                                                                = 23 × 19

                                                                = 437 m²

∴ The area of give figure= 1426m²+437 m²

                                        = 1863 m²

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Answer:

Sure, I can help you with that.

Part A:

The wavelengths 0.0001 and 10^-3 are equal. This is because 0.0001 = 10^-3.

Part B:

The shortest wavelength is 0.0001 nanometers. This is because it is the smallest number in the list.

Part C:

The speed of the wave is 10^y, where y > 3. This means that y must be greater than 3. Therefore, the inequality in terms of x to represent all possible values of x is x > -3.

Part D:

The wavelength of the seventh wave is greater than 2x10^-2 nanometers and less than 5/100 nanometers. This means that the wavelength is between 0.004 and 0.05. A possible wavelength for the seventh wave is 4/100, which is equal to 0.04 nanometers.

Here is a table summarizing the answers:

Step-by-step explanation:

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

RATE

Step-by-step explanation:

Answer:

A. Rate

Step-by-step explanation:

A rate is an example of comparing two different units of measure. For example, miles per hour is a rate because it compares miles, which is a unit of distance, to hours, which is a unit of time.

Hope this helps.

The formula to calculate the volume of a sphere is:

Start by finding the radius using the diameter and dividing it by 2

then, replace the radius in the formula and find the volume

Answer: 4s place

Also could you mark my answer as brainliest? It helps and doesnt hurt

Answer:

x = 25

Step-by-step explanation:

the angles form a linear pair and sum to 180° , then

5x - 5 + 2x + 10 = 180 , that is

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Answer:

3x - 125 = -5

Step-by-step explanation:

the 3 is the triple, x is the deposit and -125 is the withdrawn and -5 is what's left over in the bank account

To find the unit price that maximizes revenue, we need to maximize the given revenue function: \(R = 0.25(36950 - 0.02p^3)^2\). The revenue function R is dependent on the unit price p.

To maximize the revenue, we need to find the value of p that corresponds to the maximum point on the revenue curve.

To determine this, we can take the derivative of the revenue function with respect to p and set it equal to zero to find the critical points. Let's calculate the derivative:

\(dR/dp = 2 * 0.25 * (36950 - 0.02p^3) * (-0.02) * 3p^2 = -0.015 * p^2 * (36950 - 0.02p^3)\)

Setting this derivative equal to zero, we have:

\(-0.015 * p^2 * (36950 - 0.02p^3) = 0\)

Since we are interested in finding the unit price, we can solve this equation numerically using methods like graphing, Newton's method, or a calculator. The resulting value of p will be the unit price that maximizes revenue. Remember to round the answer appropriately based on the precision required.

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Answer:

$91.80

Step-by-step explanation:

To find her total wages, we would multiply 12 x 9 and get 108.

Now we need to find 15% of that.  15% means 15/100 so divide 15 by 100 to get .15.

.15 x 108 = 16.20  This is the amount that we need to subtract from 108.

108 - 16.20 = 91.80

Answer: $91.8

Step-by-step explanation:

12*9=108

108*(1-0.15)=

108*0.85=$91.8

Answer:

5x+4x^17+3x^5-7

Step-by-step explanation:

Answer: 601

              200

Step-by-step explanation: when you reduce 3.005 it is 601/200 and it is in its simpilist form

Answer:

3\frac{1}{200}

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

hope this helps

Answer:

3 + 2k

Step-by-step explanation:

1/5(15+10k)

distribute

1/5 * 15 + 1/5 * 10k

3 + 2k

Answer:

3 + 2k

Step-by-step explanation:

First, I am going to explain what the distributive property is. Lets say he had the expression a(b + c). We can "distribute" the a to the b and c:

a(b + c) = ab + ac

We can apply the distributive property to the expression 1/5(15 + 10k):

1/5(15 + 10k)

= (1/5)(15) + (1/5)(10k)

= 3 + 2k

By using the distributive property, we found the expression 3 + 2k.

I hope you find my answer helpful.

The distance between two opposite corners of the given floor is 17 feet.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

Given that the floor of a storage unit is 15 feet long and 8 feet wide.

Let x would be the distance between two opposite corners of the floor

As per the figure, We have a right triangle with legs 15 and 8 and with hypotenuse x.

According to Pythagoras's theorem,

x² = 15² + 8²

x² = 225 + 64

x² = 289

x = √289

x = 17

Thus, the distance is 17 feet between two opposite corners.

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Answer:

Its B I think

Step-by-step explanation:

Answer:

b

Step-by-step explanation: