The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y. y = startfraction 3 x 10 superscript 8 baseline over x endfraction what is the wavelength for radio waves with frequency 3 × 109?

Answer:

-1050 = -800 = 25 = 80

Step-by-step explanation:

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

1) look at the your numbers and find the negatives. they always are the SMALLEST.

2) as you can see on the line above, there's the middle and from there negative numbers go to the left and positive numbers go to the right.

3) the bigger negative numbers are the smaller they are, super confusing ik

6 Need to increase the number of workers.

Now, According to the question:

A building company used 24 worker to prepare a building site.

The site measured 30 acre and the work was completed in 10 day.

The company is asked to prepare another site measured 45 acre.

This work has to be completed in 15 days.

To find the least amount of worker the company should employs for this work.

=> 30 ÷ 10 = 3 Daily worked of 24 workers.

=>3 ÷ 24 = 1/8 Daily worked of 1 worker.

=> 45 ÷ 12 = 15/4 The amount of work that the project needs to complete each day

=> 15/4 ÷ 1/8 = 30 Number of workers needed.

=> 30 - 24 =  6 Need to increase the number of workers.

Hence, 6 Need to increase the number of workers.

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The proportional equation that is on the graph can be written as:

y = 0.83*x

Remember that a general proportional equation is written as:

y = k*x

Where k is the constant of proportionality.

To find the value of the constant of proportionality, we need to identify one point that lies on its graph. For example, we could use the point (0.6, 0.5)

Where x = 0.6

y = 0.5

Replacing that in the general proportional equation we will get:

0.5 = k*0.6

0.5/0.6 = k

0.83 = k

Then the proportional equation is:

y = 0.83*x

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Answer:

Step-by-step explanation:

The answer is 28 ft

A table can be read from top to bottom or left to right. When reading a table across a row, you should read the data from left to right.

In mathematics, a sequence is a list of items that is in a particular order (or events). It has members and is comparable to a set (also called elements, or terms). The amount of ordered elements determines how long the sequence is (potentially infinite). The four basic types of sequences that you should be knowledgeable about are arithmetic sequences, geometric sequences, quadratic sequences, and special sequences. A number sequence is a collection of integers connected by a pattern. If you understand the rule, you can determine the subsequent numbers in the sequence. In this case, there is a 6 difference between each number. As a result, the rule for this sequence is to add 6 each time.

given

A table can be read from top to bottom or left to right. When reading a table across a row, you should read the data from left to right.

There are four black animals in total in the Cats and Dogs Table (2 + 2 = 4). The numbers in the row directly to the right of the term "Black" are those, as you can see.

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Answer:

-24 + 3f

3f - 24.

3(-8 + f)

Step-by-step explanation:

-3/4( 32 - 4f)

= -3/4 * 32 - 3/4 * -4f

= -3*8 + 3f

= -24 + 3f.

= 3f - 24

= 3(-8 + f)

The equation of the line is y = -3x + 16

The general equation of a line is expressed as;

y = mx + c

Given that;

From the diagram shown, the coordinates of the line is expressed as;

(3, 7) and (2.5, 3)

The intercept. c = -3

Substitute the values

7 = -3(3) + c

expand the bracket

7 = -9 + c

collect like terms

c = 7 + 9

c = 16

The equation of the line is then given as;

y = -3x + 16

Hence, the equation is y = -3x + 16

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Answer:

This is just a basic mathematical function in which 18.00$ is the starting cost of Happy Paws service and they charge 4.50$ an hour, and we can represent this with [tex]18.00$ + 4.50h = C[/tex].

C is the total cost and h represents the number of hours that took place.

Now looking at Woof Watchers, the starting cost is 12.00$ and they charge 5.75$ an hour, we can also represent this with the equation [tex]12.00 +5.75h=C[/tex].

Now we can figure out the answer the long way or the short way.

The short way is a lot more simple, so I will use that.

The short way is plugging these equations into a graphing calculator.

After that, the number of hours they both babysit to have equal total costs is 4.8 hours or 4 hours and 48 minutes, and the total cost for both services after 4.8 hours will be approximately 40$ or to be exact, 39.60$

Answer :

17+44 = 61

10+51= 61

To solve complex fractions there are two methods -

1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.

2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.

A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.

There are two ways to solve a complex fraction -

method 1 : Take an example - (1/3-1/4)/(1/8+1/2)

step1; If necessary, combine the denominator and numerator into a single fraction.

Add the numerator -

=1/3-1/4

=(4-3)/12

=1/12

Add the denominator -

=1/8+1/2

=(1+4)/8

=5/8

Combine back to form a complex fraction -

=(1/12)/(5/8)

Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.

Step 3: Simplify the rational expression if necessary.

=(1/12)×(8/5)

=8/60

=2/15

Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]

Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.

(x^2-25)=(x+5)(x-5)

The denominator of the denominator’s fraction  has the following factor -

(x-5)

Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -

(x+5)(x-5)

By multiplying the LCD by the numerator and denominator -

=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]

=(2x+1)/(2x+1)(2x-1)(x+5)

Step 2 - Simplify the rational expression if necessary.

=(2x+1)/(2x+1)(2x-1)(x+5)

=1/(2x-1)(x+5)

Therefore, there are two methods to solve complex fractions.

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Step-by-step explanation:

[tex] \frac{ \cot(x) - 1 }{ \cot(x) + 1} \\ \cot(x) = \frac{1}{ \tan(x) } \\ (\frac{1}{ \tan(x) } - 1) \div ( \frac{1}{ \tan(x) + 1} ) \\ multiply \: though \: by \: \tan(x) \\ \tan(x) \times ( \frac{1}{ \tan(x) } - 1 ) \div \tan(x) \times ( \frac{1}{ \tan(x) } + 1) \\ = 1 - \tan(x) \div 1 + \tan(x) \\ \frac{ \cot(x) - 1}{ \cot(x) + 1 } = \frac{1 - \tan(x) }{1 + \tan(x) } [/tex]

The number of months that it would take for Linda to replenish the amount she took out is 4 months.

The number of months it would take Linda to make back the $ 100 that she took from her savings account will depend on the amount that she saves every month.

This amount is $ 25 per month.

The number of months it would take for Linda to replenish the $ 25 would therefore be:

= Amount taken out of account / Amount saved per month

= 100 / 25

= 4 months

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Rest of the qyestion is:

How many months will it take Linda to replenish the amount she took out of her savings account ?

Answer:

No

Step-by-step explanation:

3+6 is 9 which is greater than 7 so no it can not be a triangle

Answer:

For three lengths to form a triangle, the sum of two of the sides has to be more than the length of the third line. 3,6,8 or 3,6,7 will form triangles.

Step-by-step explanation:

The number 9 is a numerical digit used in many numeral systems. It is the highest single-digit number and has no specific meaning in and of itself.

The meaning of 9 may vary depending on the context in which it is used. For example, in mathematics, 9 is a composite number, meaning it can be divided by numbers other than itself and 1. In numerology, the number 9 is considered to be a powerful, spiritual number and is often associated with universal love, selflessness, and completion. In other cultures, 9 may hold different meanings or symbolism.

If we check the single digit series we will find the 9 is the 10[tex]th[/tex] and last digit in single digit series.

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Complete question is: What is the meaning of 9?

Answer: he could've gotten a 60

Step-by-step explanation:

if you follow the line up from 50 on paper 1, it fits onto a 60 for paper 2

Your response should be the first point on your graph because x = 0 on the y-axis.

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.

that a line's equation is y = mx + b, where m is its slope and b is its y-intercept. Your initial point should be at -2 on the y-axis to start. Go up 1 and over 2 for your next point because your slope is 1/2 (rise/run). Continue along like this, and your points will become clear.

The x values you have can also be plugged in to determine your y-values. Your first point is that y = 1/2(2) - 2 = 1 - 2 = -1. (2,-1). This ought should appear on your graph as well.

Your response should be the first point on your graph because x = 0 on the y-axis.

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Answer:

The sum of the exterior angles is 360.  360/14 = 25.7 would be the measure of one exterior angle.

The sum of the interior angles is 1260.  1260/14 = 154.3 would be the measure of on interior angle.

Step-by-step explanation:

(n-2)180

n  is the number of sides

(14-2)180

12(180) 1260

This is the sum of the interior angles of the polygon.  

1260/14 = 154.3  Is the measure of one angle.

So the total area of the South China Sea and the Arctic Ocean is 2.10286 x 107 km2

To find the total area of the South China Sea and the Arctic Ocean, you would add their individual areas together.

The formula for finding the total area is:

Total Area = Area of South China Sea + Area of Arctic Ocean

By applying this formula we get:

Total Area = 6.963 × 106 km2 + 1.4056 × 107 km2

Total Area = 2.10286 x 107 km2

So the total area of the South China Sea and the Arctic Ocean is 2.10286 x 107 km2. The final answer is correct and has correct number of significant digits as per the given figures.

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In AutoCAD, you can change the UCS icon from 3D to 2D by following these steps:

AutoCAD is a commercial computer-aided design and drafting software application.

Alternatively, you can also change the UCS icon to 2D by typing "UCSICON" in the command line, then pressing the F6 key. This will toggle the UCS icon between 2D and 3D.

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Answer:

Step-by-step explanation:

One 1/12 is equal to 1/12, so you do not need to add any other fractions of 1/12 to get 1/12.

1/12 + 0 = 1/12

You can think of it in another way, if you want to add a certain number of fractions to obtain 1, you just need to add 12 of 1/12s to get 1, not one.

Therefore , the solution of the given problem of table comes out to be  15 to 20 table are given as follows :  14,28,42,56,70,84,98,112,126 and 140

A statistical list is a collection of numbers that shows the outcomes of a computation with numerous inputs. Data is made up of descriptions and numbers and is arranged in rows and columns. The table and indeed the pattern of 10 are easily recalled. In numerical order, the numbers are 2, 4, 6, 8, 10, 12, 14, 16, 18, then 20. Value mapping is used to show how multiple data pieces are related to one another. Any science class can benefit from including the values table.

Here,

Given :

=> 13,26,39,52,65,78,91,104,117 and 130

=> 14,28,42,56,70,84,98,112,126 and 140

=> 15,30,45,60,75,90,105,120,135 and 150

Therefore , the solution of the given problem of tables comes out to be  13 to 15 table are given as follows :  14,28,42,56,70,84,98,112,126 and 140

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Answer:

Step-by-step explanation:

translate

Answer: B -3

Step-by-step explanation

-3/4 my teacher would say rise over run, run means x axes and rise is y axes to get 2 to 8 you need 6 if you times -3/4 by 2 you would get -6/8 6 is x +2 from (5,2) you would get 8 so (m,8) then -8 +5 is -3 creating (-3,8)

The exponential function is y = 1200(1.04)^t and the investment amount after 16 years is $2247.58.

What is exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

Jayden invests $1,200 in a savings account. Each year, the value increases by 4%.

Let t = time in years

Let y = amount of money invested in savings account

Start with $1200 and each year add 4% interest to the amount in the bank.

1st year: Interest = 1200 × (0.04) = $48

This is added to the previous amount -

= $1200 + $1200 × (0.04)

= $1200 (1+0.04)

= $1200 (1.04)

= $1248

2nd year: Previous amount + interest on the previous amount

= $1248 (1+0.06)

= $1248 (1.06)

= $1297.92

So, the exponential formula becomes -

y = 1200(1.04)^t

Now, to find the value of investment after 16 years, substitute t = 16.

y = 1200(1.04)^t

y = 1200(1.04)^16

y = 1200(1.87298125)

y =$2247.58

Therefore, the value of investment after 16 years is $2247.58.

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Percent of land planted with wheat  is 50% of total land.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given,

a farmer planted

320 acres of one variety of wheat

160 acres of a second variety of wheat.

He also planted 40 acres of milo,

and he has 440 acres that will lie fallow

Total land farmer has = 320 + 160 + 40 + 440 = 960 acres

Land planted with wheat = 320 + 160 = 480 acres

Percentage of land with wheat

= (land planted with wheat/ total land)× 100

= 480/960 × 100

= 0.5 × 100

= 50%

Hence, 50% of total land is planted with wheat.

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................ ................................ 

For the given data, ∅ is the given angle in standard position, terminal side passes through (21, -20) then the exact value of cot ∅= ( - √41/ 20 ) in simplest radical form.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

For the given angle ∅ (theta) in standard position:

Terminal side of ∅ is passes through the point ( 21, -20 )

( 21, -20) represents ∅ is in the second quadrant.

In second quadrant sine in positive and cosine is negative.

Base is negative and altitude is positive.

Base = 21

Altitude = -20

Using Pythagoras theorem,

Hypotenuse² = (21)² + (-20)²

⇒ Hypotenuse = √41

Cot ∅    = - √41/20 ( simplest radical form )

Then the exact value of

Cot ∅  = ( - √41/ 20 )  in simplest radical form.

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Answer:

x = price of shirt = $10

y = price of cap = $2

Step-by-step explanation:

x = price of shirt

y = price of cap

(1)  x+y = 12

(2)  2x+3y = 26

x = 12-y  substitute this into equation 2

2(12-y) + 3y = 26

24 - 2y + 3y = 26

y = 26-24 = 2  substitute this into equation 1

x+2 = 12

x = 12-2 = 10

Answer:

x = price of shirt = $10y = price of cap = $2

The required rent is divided by the family as  $456,  $456, and $574.56.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Total rent = $ 1475
The total area of the place =  12× 10 + 10×11.2 + 12 × 12.6 = 383.2 units

Now,
Rent per square units = 1475/ 383.2 = $3.8
Now,
rent of bedroom with measure 12 by 10 = 12 × 10 × 3.8 = $456
rent of bedroom with measure 10 by 11.2 = 10 × 11.2 × 3.8 =  $456
rent of bedroom with measure 12 by 12.6 = 12 × 12.6 × 3.8 = $574.56

Thus, the required rent is divided by the family as  $456,  $456, and $574.56.

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