CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!’

The volume (in cubic meters), v, of a rectangular room is given by the expression:

v = 162 - 2b^6

Where b is a positive integer and each dimension is an integer greater than 1 meter. What are three unique expressions that could represent the dimensions of the room in terms of b?

Write these three expressions as a product that equals the volume (e.g. "(expression 1)(expression 2)(expression 3)").

Answers

Answer 1
ANSWER

The three expressions are

[tex]V = 2(9 - {b}^{3} )(9 + {b}^{3} )[/tex]

EXPLANATION

We were given the volume in cubic units to

[tex]V = 162 - 2 {b}^{6} [/tex]

If we factor 2, we get,

[tex]V = 2(81 - {b}^{6} )[/tex]

The expression in parenthesis is a difference of two squares. But you may not recognize it at first sight.

[tex]V = 2( {9}^{2} - ({b}^{3})^{2} )[/tex]

This further gives us.

[tex]V = (2)(9 - {b}^{3} )(9 + {b}^{3} )[/tex]

Related Questions

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets. Which equation is true?
A. r(10 – r) = 10
B. r + (10 – r) = 4 + 3
C. 4r[3(10 – r)] = 37
D. 4r + 3(10 – r) = 37

Answers

Answer:

D. 4r + 3(10 – r) = 37

Explanation:

Let r be the roller coaster ride.  Since it costs 4 tickets, this gives us the expression 4r.

We know that there were 10 rides total; this leaves Michael 10-r for the number of times he rode the boat ride.

Each boat ride costs 3 tickets; this gives us the expression

3(10-r)

Together, this gives us

4r+3(10-r) = 37

Answer:

A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of 10 times and spent a total of 37 tickets.

A table titled Ride Tickets, showing Times on the Ride, Tickets per Ride, and Total Tickets. The first row shows Roller Coaster, with r, 4 and 4 r. The second row shows Boat Ride, with 10 minus r, 3, and 3 left parenthesis 10 minus r right-parenthesis. The third row shows, Total, with 10, blank, and 37.

Which equation is true?

r(10 – r) = 10

r + (10 – r) = 4 + 3

4r[3(10 – r)] = 37 this is your answer

4r + 3(10 – r) = 37

Step-by-step explanation:

The fair market rental rate for Columbus was $730 in 2013 and $551 in 2003. Find the rate of change for rent in Columbus during this period.

Answers

Let rental rate be denoted by 'y' and years be denoted by 'x'

coordinates become: (2003,551) (2013,730)

Rental rate in  = $551(y1)

Rental rate in =$730(y2).

So, change in rate = [tex]730-551=179[/tex]

Years given are 2003(x1) and 2013(x2) so, change is [tex]2013-2003=10[/tex]

Here, to find the rate we use the slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

Now putting the values of coordinates in the formula we get:

[tex]\frac{730-551}{2013-2003}[/tex]

= [tex]\frac{179}{10}[/tex]

= 17.9

So, the rate of change for rent is $17.9

Meyrick and his Aunt Angie(Mrs. Goodlett, 5th grade teacher from (OES) like to pick berries. Together they picked 8 pounds of berries. They want to divide them evenly between themselves and a few family members( Meyrick, Aunt Angie, Jennilee, Grandma, Uncle Mike and Uncle Barry). How many pounds should they put in each perspn's container?

Answers

One pound of berries each. 8 divided by 8 is 1 Hope this helps!

given that (2,3) is on the graph of f(x),find the corresponding point for the function f(x) - 4

Answers

given that (2,3) is on the graph of f(x)

So, for x = 2, f(x) = f(2) = 3

Now, define another function g(x) such that

g(x) = f(x) - 4

So g(2) = f(2) - 4 = 3 - 4 = -1

Hence, corresponding point for the function f(x) - 4 is (2, -1)

The corresponding point for the function f(x) - 4 is (2, -1)

What is a function?

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

given that (2,3) is on the graph of f(x)

So, for x = 2, f(x) = f(2) = 3

Now, define another function g(x) such that

g(x)   =   f(x)  -  4

g(2)   =   f(2)  -  4

g(2)   =   3  -  4  =  -1

Hence, corresponding point for the function f(x) - 4 is (2, -1)

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21) the admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collected, how many children went to the movies?

Answers

Final answer:

To solve the problem, we set up a system of two equations to represent the given conditions. By solving this system, we found that 1200 children and 2000 adults went to the movies.

Explanation:

We can solve the problem using a system of linear equations. Let's denote the number of children as C and the number of adults as A. From the question, we know two things:

The total number of people is 3200, so C + A = 3200.The total amount of money received is $24,000, and as children pay $5 and adults pay $9, this gives us another equation: 5C + 9A = 24000.

By solving this system, we can find the number of children and adults. Using the elimination method, multiply the first equation by 5 and subtract it from the second equation, we get 4A = 8000, so A = 2000. Substituting A = 2000 into the first equation gives us C = 1200, which means 1200 children went to the movies.

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To multiply two fractions, multiply the numerator by the and the denominator by the .

Answers

You must multiply the numerators and denominations of each fraction


Hope this helped. If there is anything else l can help with, just let me know!

To multiply two fractions, multiply the numerator by the numerator and the denominator by the denominator.

A fraction can be defined as a numerical quantity that isn't a whole number.

Hence, a fraction is simply a part of a whole number.

Generally, a fraction comprises two (2) main parts and these include:

Numerator: this is the upper part of a fraction.Denominator: this refers to the lower part of a fraction.

Mathematically, a fraction is represented as:

[tex]Fraction \;A = \frac{1}{2} \\\\Fraction \;B = \frac{2}{3}[/tex]

In order to multiply the two fraction, we would multiply the numerator by the numerator and the denominator by the denominator:

[tex]Fraction \;A \times Fraction \;B = \frac{1}{2} \times \frac{2}{3} \\\\Fraction \;A \times Fraction \;B = \frac{1\times 2}{2 \times 3} \\\\Fraction \;A \times Fraction \;B = \frac{2}{6} \\\\Fraction \;A \times Fraction \;B = \frac{1}{3}[/tex]

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A way to make an approximation to a given number by using fewer digits is called ____.

Answers

Answer: It is called "rounding"


Step-by-step explanation: Well you can't really explain this one.


Answer:

Rounding

Step-by-step explanation:

Rounding means to give an approximation of a decimal number. The number may be irrational. Rational numbers have a terminating decimal expansion. When rounding off a number first consider to how many decimals you want to round off the number. Then check the next decimal number if it is 5 or more than 5 then increase the preceding decimal number by 1.

Let us take and example

√2 = 1.41.........

Round to the nearest tenths

√2 = 1.4

Round 1.65 to the nearest tenths

1.7

5 miles to 16 miles percent what is the nearest percent

Answers

Answer:

  31%

Step-by-step explanation:

Find the ratio and convert it to a percentage.

  (5 miles)/(16 miles) × 100% = 0.3125 × 100% = 31.25% ≈ 31%

Can someone help me with this Geometry Homework? Thanks

Answers

That is C. my fellow brainy hope you get an A+

raig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race? ASAP NICKEL

Answers

Hi Jd444976,

Answers to find in the answer graph.

Distance for each sport:

He Ran 5 Miles

He Rode Bike For 10 Miles.

Time It took to do each sport:

Running - 5 / 8 = 0.625 =  37.5 minutes

Cycling - 10 / 20 = 0.5 = 30 minutes

0.625 + 0.5 = 1.125 = 67.5 minutes

[tex]<b><i>HEY THERE !![/tex]

[tex]\huge{SOLUTION:-}[/tex]

TIME TAKEN FOR EACH ACTIVITY :-

[tex]\red{FOR \:RUNNING :-}[/tex]

he ran 5 miles with the speed of 8 miles pr hour so as we know

TIME :- DISTANCE ÷ SPEED

=> 5/ 8 = 0.625 hours........1️⃣

[tex]\red{FOR\: BIKING :-}[/tex]

He rode bike for 10 miles with the speed of 20 miles pr hour.
SO TIME :- 10/20= 0.5 hours........2️⃣

With equation 1️⃣and 2️⃣

total time taken is 0.625 + 0.5 = 1.125 hours or 67.5 minutes.

HOPE IT HELPED YOU.

what is the point slope form of the line with slope -1/4 that passes through the point (-2, 9) ?

•y - 9 = -1/4 (x + 2)

•y + 2 = -1/4 (x - 9)

•y + 9 = -1/4 (x - 2)

•y - 2 = -1/4 (x + 9)

Answers

The point-slope form of a line:

[tex]y-y_0=m(x-x_0)[/tex]

We have

[tex]m=-\dfrac{1}{4}\\\\(-2,\ 9)\to x_0=-2,\ y_0=9[/tex]

Substitute

[tex]y-9=-\dfrac{1}{4}(x-(-2))\\\\y-9=-\dfrac{1}{4}(x+2)[/tex]

. A student decides to run a simulation of rolling an even number with a single die. Use the simulat results from 20 attempts to estimate the probability, then compare your estimation with the theoretical probability.

1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6

Answers

Answer:

Probability of observed is less that probability of theoretical of getting an even  number.

Step-by-step explanation:

Given : A student decides to run a simulation of rolling an even number with a single die.

Outcomes - 1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6

To find : Use the simulate results from 20 attempts to estimate the probability, then compare your estimation with the theoretical probability?

Solution :

First we make the frequency distribution table,

X    Frequency

1         2  

2         3

3         6

4         2

5         3

6         4

Total - 20

Now, The observed probability of getting an even number.

Favorable outcomes of number appeared even = 3+2+4=9

Total  number of outcome = 20

Probability of getting even number is [tex]P=\frac{9}{20}=0.45[/tex]

Then, Theoretical probability of getting an even number.

Favorable outcome = 3

Total  number of outcome = 6

Probability of getting even number is [tex]P=\frac{3}{6}=\frac{1}{2}=0.5[/tex]

As 0.45<0.5 , Observed < Theoretical

We simulate that probability of observed is less that probability of theoretical of getting an even  number.

The estimated probability is 0.45 while theoretical probability is 0.5

Estimated probability :

Number of even values : (2,6,6,4,4,6,2,2,6) = 9

The estimated probability can be computed thus ;

favorable outcomes/ total possible outcomes

Now we have ;

Probability= 9/20 = 0.45

The theoretical probability can be computed thus ;

Even numbers = (2,4,6) = 3

Hence, theoretical probability= 3/6 = 0.5

Hence, the theoretical probability is greater than the estimated probability.

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An arc that subtends a full angle of 360 degrees is called a(n) ______.
A) angle
B) circle
C) circular arc
D) line segment

Answers

The arc is called B) Circle

Answer:

B) Circle

Step-by-step explanation:

What we will do is to define all the term, then we will now pick the correct option

Angle :  An angle can simply be define as a point where two straight line meets.

Arc : An arc is a curved line which formed a circle or  part of the circumference of a circle

Circle : A circle is an arc that goes round a central points. A circle subtends a full angle of 360°

Line Segment: A line segment is the shortest distance between two points, or simply put a line that connects to points or joins two points together.

From the above definitions, we can deduct that an arc that subtends a full angle of 360 degree is called a circle.

6. Which is an equivalent form of the equation
2x-y=12

A) y=2x+12

B) y=12-2x

C) y=2x-12

D) y=-12-2x

Answers

The answer is C first you subtract 2x from both side, giving you -y= - 2x +12 than you have to get rid of the negative y , so you divide by negative 1 and you get y= 2x -12
Final answer:

To find an equivalent form of the equation 2x-y=12, isolate y by moving 2x to the other side and changing the sign of each term.

Explanation:

To find an equivalent form of the equation 2x-y=12, we want to isolate y. To do this, we need to get y alone on one side of the equation. Let's start by moving the 2x term to the other side by adding 2x to both sides of the equation, giving us -y=12+2x. Next, we can multiply every term in the equation by -1 to change the sign of each term, resulting in y=-12-2x.

So the equivalent form of the equation 2x-y=12 is y=-12-2x, which is option D.

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How do you convert 5 1/3 to an improper fraction

Answers

5 x 3 + 1
————-
3

So 16
—-
3
Final answer:

To convert 5 1/3 to an improper fraction, multiply the whole number part by the denominator and then add the numerator.

Explanation:

To convert the mixed number 5 1/3 to an improper fraction, you need to multiply the whole number part (5) by the denominator of the fraction part (3), and then add the numerator of the fraction part (1). The result becomes the numerator of the improper fraction, and the denominator remains the same. So, 5 1/3 as an improper fraction is 16/3.

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jim is reading a 303 page book hes already read 87 pages if he can read 12 pages in an hour how many more hours will it take him to finish the book

Answers

You would do 303 subtract 87. you get 216. 216/12 = 18 therefore it takes him 18 hours

if you have 1,000,000 $ and you stend 9,899 what does that =

Answers

If you have 1,000,000 $ and you spend 9,899 what does that =

1,000,000 - 9,899 = 990,101

Answer: $990,101

$1,000,000-$9,899 = $990,101

In 2010 the population of alaska was about 710200 what is this number written in word form

Answers

seven hundred and ten thousand two hundred

Mary bought a soft drink for three dollars and eight candy bars. She spent a total of nineteen dollars. How much did each candy bar cost?

Answers

2 dollars each. 19 minus 3 is 16. 16 divided by 8 is 2

if the blue radius below is perpendicular to the green chord and the segment AB is 6.5 units long, what is the length of the chord?

A. 13 units

B. 6.5 units

C. 3.25 units

D. 26 units

Answers

if the blue radius below is perpendicular to the green chord and the segment AB is 6.5 units long what is the length of the chord? the correct answer is:

13 units


Answer:

If the radius is perpendicular to a chord, the length of the chord is 13 units (option A).

Step-by-step explanation:

AB=6.5 units

When a radius is perpendicular to a chord divides it into to equal parts, then:

AB=BC=6.5 units

Chord: AC=AB+BC

Chord: AC=6.5 units+6.5 units

Chord: AC=13 units

What is the number between 6,534 and 6,565

Answers

If you don't specify any restrinction on that number, there actally are infinitely many: real number are dense, which means that you can always find infinitely many numbers between any pair of real numbers, no matter how close.

A plane is defined as what type of figure?         A. A plane has no dimensions.   B. 3-dimensional   C. 2-dimensional   D. 1-dimensional

Answers

It is C. 2-dimensional

A plane is flat, so 2-Dimensional


I'd really appreciate it if anyone could help! :) I'll give Brainliest!

Which graph represents the piecewise-defined function?

Answers

Answer:

The upper right hand corner

Step-by-step explanation:

One big clue to this is to note how the inequalities are x < 0 and x >= 2 so there is a gap of x values that are left out (x = 1 for instance). There will be NO graph points at all for any values in this gap. The only graph with such a gap is the upper right hand corner. So that is why this is the answer.

Another reason is that y = (-4/5)x-3 is a line that goes through (0,-3). Plug in x =0 and you'll get y = -3 when you simplify. There is an open hole here due to "x < 0". So x cannot actually equal zero for this part. At the same time, plug in x = 2 into the second piece and you get y = -4 as a result. So (2,-4) is on the second graph as a closed hole. The upper right hand corner has both of these points in the proper location.

An airline offers tickets on 3 routes from Atlanta: Chicago for $150, Boston for $160, and Dallas for $180, represented by the matrix [150 160 180] We can find the cost of four of each of the tickets by multiplying this matrix by one of the matrices below. Find it. (Please help @gmanyp)

Answers

[tex]\left[\begin{array}{ccc}150&160&180\end{array}\right]\\\\Answer:\ B)\ \left[\begin{array}{ccc}4&0&0\\0&4&0\\0&0&4\end{array}\right][/tex]

[tex]Check:\\\\\left[\begin{array}{ccc}150&160&180\end{array}\right] \cdot\left[\begin{array}{ccc}4&0&0\\0&4&0\\0&0&4\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}(150)(4)+(160)(0)+(180)(0)&(150)(0)+(160)(4)+(180)(0)&(150)(0)+(160)(0)+(180)(4)\end{array}\right][/tex]

[tex]=\left[\begin{array}{ccc}600&640&720\end{array}\right][/tex]

Cost of four of each of the tickets:

[tex]Chicago:4\cdot\$150=\$600\\\\Boston:4\cdot\$160=\$640\\\\Dallas:4\cdot\$180=\$720[/tex]

CORRECT :)

Answer: B

Jasmine has 8 packs of candle wax to make scented candels. Each pack contains 14 ounces of wax. Jasmine uses 7 ounces of wax to makecone candle how many candels can she make

Answers

We need to start by finding out how many ounces of wax she has overall.

8 packs x 14 ounces = 112 ounces

Next we divide this by 7

112÷7= 16 so she can make 16 candles :)

A rectangle has a perimeter of 144 inches. The width of the rectangle is 12 inches less than the length. What is the width, in inches, of the rectangle?

Answers

The width is 42 inches. If you add 42+42+30+30, it equals 144. (l+l+w+w)

Answer:

30 inches

Step-by-step explanation:

To correctly evaluate this we have to give algebraic values to both the width and the length, so the width would be X, and the legnth is 12 inches larger than the length so this would be expressed by: x+12, so the equation of the perimeter would be:

[tex]P=2W+2L[/tex]

[tex]P=2(x)+2(x+12)[/tex]

[tex]P=2x+2x+24[/tex]

Now you just evaluate the equation for perimeter=144.

[tex]144=2x+2x+24[/tex]

[tex]144=4x+24[/tex]

[tex]120=4x[/tex]

[tex]x=\frac{120}{4}[/tex]

[tex]x=\frac{120}{4}=30[/tex]

So the width of the rectangle is 30 inches.

BRAINLIEST!!PLEASE HELP
Which linear inequality is shown on the graph?A)x − y ≤ −2B)x − y ≥ −2C)x − y ≤ 2D)x − y ≥ 2

Answers

Graph the inequality by finding the boundary line, then shading the appropriate area.

C.

The linear inequality shown on the graph is x − y ≤ 2. Correct option is c.

A linear inequality represents a region on the coordinate plane. The inequality may be of the form "y ≤ mx + b," "y ≥ mx + b," "y < mx + b," or "y > mx + b," where m is the slope and b is the y-intercept of the line.

To identify the correct linear inequality from the graph, look for the shaded region (if any) and the direction of the shading. The shading indicates the solution region of the inequality. If the shaded region is above the line, it represents "y > mx + b" or "y ≥ mx + b" depending on whether the line is solid or dashed, respectively. If the shaded region is below the line, it represents "y < mx + b" or "y ≤ mx + b" depending on whether the line is solid or dashed, respectively.

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on the highway trip a midsize car traveled 208 miles on 4 gallons of gasoline. which direct variation equation describes the relationship between gallons of gasoline x and distance traveled in miles y

Answers

Remark

It is a direct variation.

y = k x

You can solve for k .

y  = 208

x = 4

k= ??

y = k * x

208 = k * 4   Divide by 4

208 / 4 = k

k = 52

So the equation becomes

y = 52 x

Randy said that the number 0.03 has a value 10 times greater than 0.003.Is he correct ?Explain your answer.

Answers

Oooooooooooffffffffjsjshhhdbd

Math worksheet lesson 10

Answers

A = 6 tenths
B = 6 ones 2 thousands
C = 4 hundreds 3 hundredths
D = 25 thousands

The given problems on subtraction is solved as follows:

a. 1.8 - 0.9 = 0.9

b. 41.84 - 0.8 = 41.04

c. 341.84 - 21.92 = 319.92

d. 5.182 - 0.09 = 5.092

e. 741 - 3.91 = 737.09

The detailed explanation is as follows:

a. 1.8 - 0.9 = 0.9

Explanation: When you subtract 0.9 from 1.8, you get 0.9. This is a straightforward subtraction of two decimal numbers.

b. 41.84 - 0.8 = 41.04

Explanation: When you subtract 0.8 from 41.84, you get 41.04. Again, this is a simple subtraction of decimals.

c. 341.84 - 21.92 = 319.92

Explanation: Subtracting 21.92 from 341.84 results in 319.92. This is a standard decimal subtraction.

d. 5.182 - 0.09 = 5.092

Explanation: Subtracting 0.09 from 5.182 gives you 5.092. Decimal subtraction works the same way as whole number subtraction.

e. 741 - 3.91 = 737.09

Explanation: When you subtract 3.91 from 741, you get 737.09. This involves carrying over from the hundredth's place to the tenth's place.

In all these calculations, it's essential to align the decimal points and perform the subtraction as you would with whole numbers, taking care to carry over as needed when subtracting decimal places.

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Wich product is equivalent to 25x2 -16 Charges of +2 C and +3 C are 4 mm from each other. Rainas group draws four diagrams trying to represent the electrical force between the charges.Which diagram is correct?A) WB) XC) YD) Z Alejandro needs to buy bird seed from the local pet store for his parrots. A 10lb. bag of bird seed costs $12.55.The pet store also sells loose bird seed for $1.49per pound. The sales tax is already included in these prices. Alejandro wants to buy a 10lb. bag of bird seed and some loose bird seed. If he has $20,how many pounds of loose bird seed can he buy after purchasing the 10lb. bag? What was one impact of Constantine's decision to legalize Christianity? More people converted to Islam. Constantine lost power. Christians were no longer persecuted. People moved out of Constantinople. what number should be added to 17 to make the sum 0 Please help easy stuff....... Teresa graphs the following 33 equations: y=2x, y=x2+2, and y=2x^2. She says that the graph of y=2^x will eventually surpass both of the other graphs. Is Teresa correct? Why or why not? If ST is reflected across the line y=x, what is the new coordinate point of S'? A. (5,2)B. (-5,-2)C. (-2,-5)D. (2,5) The mean score on a driving exam for a group of driver's education students is 80 points, with a standard deviation of 3 points. Apply Chebychev's Theorem to the data using k=2. Interpret the results. Luna into a rifle for a new pair of running shoes. She purchased 20 tickets and she told that she had 20% chance of winning. How many tickets were sold? What are some of the characteristics of the Magna Carta what is a tonsillectomy?tell me in a detailed good 1 paragraph way! Help plz I WILL MARK BRAINLYST Can someone tell me the right answer pls and thank you I will give brainliest Jay has $25 to spend at a comic book store. If he buys a collectors guide for &12, what is the greatest number of individual comics he can by at $2 each? Which substance is produced as a by-product of both glycolysis and aerobic respiration? A. NADH B. acetyl CoA C. ATP D. glucose How do you graph these? Simplify square root of 40 divided by 3 What is the capital city of Vietnam? Why did the Romans fight the Punic Wars?A:The Carthaginians and Macedonians allied to invade northern Italy. B:The Carthaginians held a monopoly over Mediterranean trade.C:The Carthaginians sponsored pirate raids that disrupted Roman trade.D:The Carthaginians were the major rival to Romes territorial expansion.