R=1(149×109meter)2−(298×109meter)2

Step-by-step explanation:

(R○R)(x) = (5 - 2((5 - 2x)/x))/((5 - 2x)/x)

we simply put the original R function into the places of x.

so,

(R○R)(-6) = (5 - 2((5 - 2×-6)/-6))/((5 - 2×-6)/-6) =

= (5 - 2((5 + 12)/-6))/((5 + 12)/-6) =

= (5 - 2×17/-6)/(17/-6) =

= (5 + 17/3)/(17/-6) = (15/3 + 17/3)/(17/-6) =

= 32/3 / 17/-6 = -6×32 / (3×17) =

= -2×32 / 17 = -64/17

Answer:

-64/17

Step-by-step explanation:

Same person here who answered previous question.

(R · R)(-6)

This basically means R(R(-6))

Now, R(-6) = (5 + 12)/-6 = -17/6

Put that value again, in (5 - 2x)/x = (5 + 34/6)/(-17/6)

= (64/6)/(-17/6) = -64/17

So, the answer is correct.

If you have any questions, please leave a comment.

Otherwise, cheers

The value of f(-1) is either a³ - 31 or the absolute value of a³ - 31, depending on the value of a³ - 31.

It is not possible to find the exact value of f(-1) without knowing the value of a.

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Answer: Circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π is a constant.

We know that the diameter is twice the radius (d = 2r).

So when we increase the circumference of the circle from 12π cm to 18π cm, we are increasing the radius from r to r'.

To find the increase in diameter, we can use the formula for the diameter, and subtract the original diameter from the new diameter.

d' = 2r' and d = 2r

d' - d = 2r' - 2r

We know that the relationship between circumference and radius is C = 2πr.

So we can write:

12π = 2πr and 18π = 2πr'

r = 6/π and r' = 9/π

then

d' - d = 2r' - 2r = 2(9/π) - 2(6/π) = 18/π - 12/π = 6/π

Therefore, the diameter must increase by 6/π cm in order to increase the circumference of the circle from 12π cm to 18π cm.

Step-by-step explanation:

Answer:

a) 7x

b) 8x-1

c) 6x=12

d) 3x+4

e) 13x-7

Step-by-step explanation:

To collect the like terms, you combine similar terms. e.g- 4x+3x would be 7x because there are 7 x's.

In given fractions 8/9 is 1/36 large than 31/36

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> [tex]\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}[/tex]  

=> [tex]\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}[/tex]  

From the above calculations given fractions are 31/36 and 32/36

Difference = [tex]\frac{32}{36} - \frac{31}{36} = \frac{1}{36}[/tex]  

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

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the answer is letter d)

if u arrange it correctly it will be -x +2y=2

-½x+y=1

then multiply -½ by the first equation and multiply -1 by the second equation..

then change the signs of the second equation

then cancel x .. then y =1

then substitute y with 1

..it won't be correct

Answer:

[tex]\frac{1}{343}[/tex]

Step-by-step explanation:

[tex]7^{-3}[/tex] = [tex]\frac{1}{7^{3} }[/tex] = [tex]\frac{1}{7x7x7}[/tex] = [tex]\frac{1}{343}[/tex]

Answer:

Step-by-step explanation:

You want to use the graph to evaluate the compositions ...

where f(x) = x² -2x -3, and g(x) = x -2.

To find the value of a graphed function, locate the function argument on the x-axis and find the point of intersection of that vertical line with the graph. The y-coordinate of that point is the function value.

Here, we're asked to read the graph to find f(1), use that value to find g(f(1)), then use that value to find f(g(f(1))). This last value is f(-6), which is off the top of the graph. We need to use the equation to find the value:

  f(x) = (x -2)x -3

  f(-6) = (-6 -2)(-6) -3 = 48 -3 = 45

The value of f(g(f(1))) is 45. The equation must be used for this.

Reading the graph for g(0), we find the value to be -2. Then f(-2) is 5, and g(5) is 3.

The value of g(f(g(0))) is 3.

__

Additional comment

A suitable calculator or spreadsheet can evaluate these expressions for you.

Answer:

y = -5x + 4

Step-by-step explanation:

The general form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given that the slope of the line is -5 and the y-intercept is 4, we can substitute these values into the general form of the equation of a line to get:

y = -5x + 4

This equation represents a line with a slope of -5 and a y-intercept of 4.

Answer:

52%

Step-by-step explanation:

First solve for the remainder:

remainder = 100% - 40%

remainder = 60% since 60% is left after 40% is spent on food.

Now solve for the percent of the total allowance spent:

20% of the remainder =

20% of 60% =

20% * 60% =

20% * 60/100 =  ==> 60% = 60/100

1200% / 100 =

12 / 100 =   ==> 1200% = 12 * 100%

                    12 * 100% = 12 * 1 = 12

12 / 100 = 12% spent on transport

Now add up the percent spent on food and the percent spent on transport:

40% + 12% = 52%

Here, two sides of the triangle are equal.

Therefore, perimeter of the triangle

= p - 5 + p - 5 + 2p + 8

= 4p - 2

= 2(2p - 1)

Answer:

2(2p - 1)

Hope it helps.

Answer: 4p - 2

Step-by-step explanation:

Sum of all sides is the perimeter.

According to the figure, the two sides are equal.

therefore, perimeter = p - 5 + p - 5 + 2p + 8

= 4p - 2

The solution is: Correct option is 3: Equally likely and unlikely.

We have,

Equally likely indicates the likelihood that the outcomes of each experiment will occur. For instance, if you roll a fair, six-sided die, there is an equal probability of getting any of the faces (1, 2, 3, 4, 5, or 6). The likelihood of a coin landing on its head (H) or tail (T) is equal (T).

What has equal and unequal likelihood?

Equally likely suggests that the event is fair and that all possible outcomes have an equal chance of happening. If two outcomes are not equally likely to occur, then the event would be unfair and one or more of the events would be more likely to do so.

Given that, P(terriers) is 50%

i.e., P(terriers) = 1/2

So, P(not terriers) = 1 - 1/2 = 1/2

This is an equally likely and unlikely event. i.e., The likeliness and unlikeliness of the event are equal and equal to 50%.

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Answer:

y - 9

Step-by-step explanation:

(y-9)²/4÷(4y-36)/16

is a fraction divided by a fraction.

When you have one or two fractions with a division, use Keep-Change-Flip.

Keep the first term:

(y-9)²/4

then Change the ÷ to a times.

(Y-9)²/4•

then Flip the second term.

(y-9)²/4 • 16/(4y-36)

You can factor the term (y-9)² into

(y-9)(y-9).

The other term (4y-36) can also be factored into

4(y-9).

see image.

The 4's and the y-9 terms can be "cancelled".

see image. The only term left is y-9.

The line that includes the point (0, -20) and has a slope of 1 will be y = x - 20.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The line has a slope of 1. Then the equation of the line is given as,

y = x + c

There is a line that includes the point (0, -20). Then the equation of the line is given as,

- 20 = 0 + c

c = - 20

Then the equation of the line is y = x - 20.

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Answer:

1/560

Step-by-step explanation:

So the x input which is the top row the numbers increase by 1 so that is your top number of your slope (rate of change)

And your bottom row increases by 560 so that is your bottom number of your slope

So your rate of change is 1/560

How do I know where to get these numbers?

Well if you take the first 2 numbers from the top row (in your case 1 and 2) and subtract them from each other (2-1=1) you get your first number. Then you do the same for the bottom (in your case 560 and 1120) subtract them (1120-560=560) and get your bottom....If needed you can simplify your fraction but sometimes your slope can come out as a whole number instead of a fraction but in your case you have a fraction.

That is where you get 1/560

Hope this helped!

The graph solution of the function is attached below;

For a solution to be solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point(as we need common point, which is going to be intersection of course)(this can be one or many, or sometimes none)

Given in the question;

points to be plotted;

(-4,9) , (-1,3) , (0,1) , (2,-3)

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Answer: Each roll of fabric had 86.4 inches of fabric.

Step-by-step explanation:

Each roll of fabric used in the annual school play had a length of 14.4yd / 6 rolls = 2.4 yards of fabric.

1 yard = 36 inches

so, 2.4 yards = 2.4 x 36 inches = 86.4 inches

Each roll of fabric had 86.4 inches of fabric.

Explanation: The problem states that Chau used 6 rolls of blue fabric, and the total length of fabric used was 14.4 yards. Dividing the total length of fabric by the number of rolls gives the length of each roll, which is 2.4 yards or 86.4 inches.

The way we should prepare the meal to supply one half of the RDA for protein and 139 grams pof carbohydrates is 4 beans serving and 5 bread slices (answer A). It not possible to have the same amount of protein as in part A but only 61 grams of carbohydrates.

To calculate the meal of point A we have to consider the amount of grams of protein and carbohydrates in each food. In this case, we try with 4 servings of beans and 5 slices of bread, and it get the protein and carbohydrates required as shown in the following explanation:

Servings of beans

4 * 5 = 20 grams of protein

4 * 21 = 84 grams of carbohydrates

Slices of bread

5 * 2 = 10 grams of protein

5 * 11 = 55 grams of carbohydrates

Totals

20 + 10 = 30 grams of protein

84 + 55 = 139 grams of carbohydrates

According to the previous explanation the meal have to be composed by 4 servings of beans and 5 slices of bread. On the other hand, if we want to make a meal with the same amount of protein but only 61 grams of carbohydrates, it is imposible because the amount of carbohydrates of each food is bigger than we need.

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Answer:

Step-by-step explanation:

First, we need to convert the area of 15 feet by 10 feet to square feet. That is 15*10 = 150 sq ft.

We know that 22 people fit comfortably in a 150 sq ft area, so we can estimate the number of people that can fit in a given area by dividing the area by the number of square feet per person.

So if we have an area of 10 feet deep on one side of the street along a 1-mile section of a parade route, we can estimate the number of people that can fit in that area by using the following equation:

(Area of crowd) / (Square feet per person) = Number of people

We know that 1 mile = 5280 feet, so the area of the crowd is 10*5280 = 52,800 sq ft.

Now we can estimate the number of people that can fit in that area by dividing the area by the number of square feet per person:

52,800 sq ft / 150 sq ft/person = 352 people

So, we can estimate that around 352 people can fit comfortably in a crowd that is 10 feet deep on one side of the street along a 1-mile section of a parade route.

Answer: Hello how are you doing today?

Step-by-step explanation: How may I help you?

Answer: The symbol ⊕ is known as the XOR (Exclusive Or) operator.

Step-by-step explanation:

The symbol ⊕ is known as the XOR (Exclusive Or) operator. It is a logical operator that compares two binary digits or bits and returns a 1 if one of the bits is 1 but not both. It returns 0 if both bits are the same (either 0 or 1). It is commonly used in digital logic and computer science, particularly in the field of cryptography. In simple terms, it compares two bits and returns 1 if they are different and 0 if they are the same.

The horizontal axis is the real axis and the vertical axis is the imaginary axis. We find the real and complex components in terms of r

and θ

where r

is the length of the vector and θ

is the angle made with the real axis.

From Pythagorean Theorem :

r2=a2+b2

By using the basic trigonometric ratios :

cosθ=ar

and sinθ=br

.

Multiplying each side by r

:

rcosθ=a  and  rsinθ=b

The rectangular form of a complex number is given by

z=a+bi

.

Substitute the values of a

and b

.

z=a+bi    =rcosθ+(rsinθ)i    =r(cosθ+isinθ)

In the case of a complex number, r

represents the absolute value or modulus and the angle θ

is called the argument of the complex number.

This can be summarized as follows:

The polar form of a complex number z=a+bi

is z=r(cosθ+isinθ)

, where r=|z|=a2+b2−−−−−−√

, a=rcosθ  and  b=rsinθ

, and θ=tan−1(ba)

for a>0

and θ=tan−1(ba)+π

or θ=tan−1(ba)+180°

for a<0

.

Example:

Express the complex number in polar form.

5+2i

The polar form of a complex number z=a+bi

is z=r(cosθ+isinθ)

.

So, first find the absolute value of r

.

r=|z|=a2+b2−−−−−−√    =52+22−−−−−−√    =25+4−−−−−√    =29−−√     ≈5.39

Now find the argument θ

.

Since a>0

, use the formula θ=tan−1(ba)

.

θ=tan−1(25)    ≈0.38

Note that here θ

is measured in radians.

Therefore, the polar form of 5+2i

is about 5.39(cos(0.38)+isin(0.38))

.

Answer:

Mean: [tex]14 \frac{11}{207}[/tex]

Median: 14.5

Mode: 6, 13, and 15

Step-by-step explanation:

We will start by arranging these numbers from smallest to greatest to get the median and mode:

6, 6, 11, 12, 13, 13, 14, 15, 15, 17, 19, 20, 22, 24

To get the mode, we will look. There are two 6, 13, and 15. So those three are our modes. Then, since there are 14 numbers, we will split the list in half and find the average of the two most inward numbers. We get:

6, 6, 11, 12, 13, 13, 14     15, 15, 17, 19, 20, 22, 24

Our two most inward numbers are 14 and 15, so we add the two together and then divide by 2, giving us:

14 + 15 = 29/2 = 14.5

So our median is 14.5.

Finally, we will add up all the numbers together, then divide by 14 to get our mean. We get:

6 + 6 + 11 + 12 + 13 + 13 + 14 + 15 + 15 + 17 + 19 + 20 + 22 + 24 = 207

Then we divide by 14:

[tex]\frac{207}{14} = 14 \frac{11}{207}[/tex]

So, our median is [tex]14 \frac{11}{207}[/tex].

Hope this helped!

Answer:

  see attached 0 ⇒ 0–6

Step-by-step explanation:

Given a table of ages and weights, you want the average rate of change (per month) for consecutive pairs of table values.

The average rate of change is the change in weight divided by the change in age. For example, in the interval 0–6 months, it is ...

  (17.4 -7.8)/(6 -0) = 9.6/6 = 1.6 . . . . . pounds per month

The calculations are conveniently done for the rest of the table by a spreadsheet. The results are attached. The value on each line is the average over the interval from that age to the next.

The width of the table top is 132 cm and 1.32 in metres.

The shorter distance of an object or a figure is its width, which indicates how broad or wide the given figure is. Additionally, width is measured in linear units such as metres, centimetres, inches, and so forth.

Length: Length is used to calculate the separation between two points. The longest dimension of a figure, length, indicates how long an object or figure is. It is measured in linear units like metres, centimetres, inches, and so forth.

Width of hand = 8cm

No of hands = 16.5 hands

Width of tabletop = Width of hand * No. of hands = 8cm × 16.5 = 132cm = 1.32m

The width of the table top is 132 cm and 1.32 in metres

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Answer:

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

u = 2n² - 5n + 3

u = 45

2n² - 5n + 3 = 45

2n² - 5n - 42 = 0

(2n - 7)(n + 6) = 0

2n - 7 = 0 or n - 6 = 0

n = 7/2 or n = 6

Answer: 6

The required distance c between the point of marching formation is given as C = √61.

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,

The distance formula is given as,

C = √[[x₂ - x₁]² + [y₂+ - y₁]²]

Put the given point in the above equation,
C = √[[3 + 2₁]² + [4 + 2]²]
C = √25+36
C = √61

Thus, the required distance c between the point of marching formation is given as C = √61.

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The  spherical water tank can not hold enough water to fill up the swimming pool, given the length, width, and constant depth of the water.

The amount of water that the spherical tank can hold is the volume of the spherical tank. This volume can be found by the formula:

= 4 / 3 x Pi x radius ³

The volume of this spherical tank is therefore :

= 4 / 3 x Pi x 25 feet

= 65, 450 feet ³

Then, to see if it can hold enough water for a swimming pool 50 meters long, 25 meters wide with a constant depth of 2 meters, find the volume of the swimming pool as:

= Length x Width x Depth

= 50 x 25 x 2

= 2, 500 meters ³

1 m³ to feet ³ is 35.3147 so the volume in feet is:

= 2, 500 x 35.3147

= 88, 287 feet ³

The water tank can not hold enough water for the swimming pool.

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