How do I solve this?​

How Do I Solve This?

Answers

Answer 1

Answer:

[tex]\Large \boxed{- \frac{1}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sqrt[3]{-\frac{1}{125} }[/tex]

Distribute the cube root to the numerator and denominator.

[tex]\displaystyle -\frac{\sqrt[3]{1} }{\sqrt[3]{125} }[/tex]

Solve for the cube root.

[tex]\displaystyle - \frac{1}{5}[/tex]


Related Questions

Determine what type(s) of angles are described by the following angle measures. Angle of 35 degrees.

Answers

Answer:

Acute.

Step-by-step explanation:

An angle of measure between 0 and 90 degrees is an acute angle.

Review the graph of function g(x).

Which point is on the graph of the inverse function g^-1(x)?

O (-3,0)

O (0,-3)

O (2,3)

O (3,4)

Answers

Answer:

A

Step-by-step explanation:

I did the wrong thing. I inverted the graph. That's not the question. The question is which one of the following is on the inverse of the graph. That means that x and y are interchanged. The answer you gave was the second best answer. The answer is (-3,0) which is A.

find the value of a and b in each of the following diagrams.​

Answers

Answer:

a=122

b=115

Step-by-step explanation:

We have a hexagon inscribed of a Circle. Let use some obvious properties to solve some of the angles.

The upper triangle that includes 112 and 30, have a missing angle. We can use triangle interior Theorem to find the missing third angle.

The missing angle is 38.

The upper trapezoid is a cyclic quadrilateral. It 4 vertices touched the circle circumference. This means the opposite angles of the trapezoids are supplementary.

The lower left angle of the upper trapezoid measure is 65. Part of that angle is 38 so the other part is

[tex]65 - 38 = 27[/tex]

Angle b forms a linear pair with the lower left angle so

[tex]b + 65 = 180[/tex]

[tex]b = 115[/tex]

Angle a is also a cyclic quadrilateral so

Angle a and 58 are supplementary

[tex]58 + a = 180[/tex]

[tex]a = 122[/tex]

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest
number of possible solutions to this system?

Answers

Answer:

greatest number of solutions is 2

Step-by-step explanation:

one is a parabola, the other is a line

so it can intersect in 0, 1, 2 points

Let n be the number of five-digit positive integers which are divisible by 36 and have their tens digit and unit digit equal. Find n/100

Answers

Answer:

1.) 10044

2.) 100.44

Step-by-step explanation:

Since n is a number of five-digit positive integers which are divisible by 36, start multiplying 36 by number. Starting from 278.

Five digits numbers start from multiplying 36 by 278. Any multiplication below 278 by 36 will give four digits numbers.

36 × 278 = 10,008

36 × 279 = 10,044

10,044 tens digit and unit digit equal. Therefore n = 10044

To find n/100, divide 10044 by 100

10044 / 100 = 100.44

Which inequality is graphed on the coordinate plane shown?


A
y≥2x−6

B
y<2x−6

C
y>2x−6

D
y≤2x−6

Answers

Answer:

y ≤ 2x-6

Step-by-step explanation:

First find the equation of the line

The y intercept is -6

The slope is 2

y = 2x-6

The line graphed is solid so we know that there is an equal sign

We are graphing below the line

y ≤ 2x-6


[tex] \frac{ {x}^{2} + 4x + 5 }{ {x}^{2} + 3 \sqrt{x + 4} } [/tex]
Hi
is this a rational expression or not pls reply asap​

Answers

Answer:

NOT a rational expression.

Step-by-step explanation:

A rational expression is a fraction of two polynomials.

Since the denominator contains a square-root radical, it is not considered a polynomial.

Therefore the given exprssion is NOT a rational expression.


36. What is the solution to x+3 = -6?

HELP! answer if you can!​

Answers

Answer:

x = -9

Step-by-step explanation:

subtract 3 from both sides

x = -9

Answer:

x = -9

Step-by-step explanation:

x + 3 = -6

Subtract 3 from both sides.

x + 3 - 3 = -6 - 3

x = -9

If f(x)= 9^x then prove that f(m+n+p) = f(m).f(n).f(p)​

Answers

Answer:

f(x)=9^(x)

Plugging in m+n+p=x, we have

f(m+n+p) = 9^(m+n+p)

Using the properties of exponential a^(b+c) = a^b*a^c, we have

f(m+n+p) = 9^(m)*9^(n)*9^(p)

f(m+n+p) = f(m)*f(n)*f(p)

What is the equation of the line represented by the table below?
Х
-2
-1
0
1
2
y
16
11
6
1
-4
O A. y = -5x+9
B. y = -3x - 5
O C. y = -5x + 3
D. y = -5x + 6

Answers

Answer:

D. y = -5x + 6

Step-by-step explanation:

If we replace the values of x in the expressions we can find y. By replacing the values of x we see that the only option that has the correct values of y is the option D.

a passenger train takes 2 hours less for a journey of 300 kilometre if its speed is increased by 5 kilometre per hour from its usual speed find its usual speed​

Answers

Answer:

Its usual speed is 25 kilometre/hour

Step-by-step explanation:

Let the usual  time duration for a journey of 300 km. = t

Let the usual speed = v

The parameters given are;

The time duration for the 300 km. journey at increased speed = t - 2

The increased speed of the passenger train = v + 5

Distance, d = Speed, v × Time, t

Therefore, we have;

v × t = 300

∴ t = 300/v

Also (v + 5)×(t - 2) = 300

Substituting the value of t = 300/v, we have;

(v + 5)×(300/v - 2) = 300

[tex]- \dfrac{2 \cdot v^2 - 290 \cdot v - 1500}{v} = 300[/tex]

Which gives;

2·v² + 10·v - 1500 = 0

Which is equivalent to v² + 5·v - 750 = 0

Therefore we have;

(v + 30)·(v - 25) = 0  whereby v = -35 or 25 km/h

v = Natural number = 25 km/hour

Therefore its usual speed is 25 kilometre/hour.

1.
The Springfield Meteorological Center wanted to determine the accuracy of their weather forecasts. They
searched their records for those days when the forecaster had reported a 70% chance of rain. They
compared these forecasts to records of whether or not it actually rained on those particular days. The
forecast of 70% chance of rain can be considered very accurate if it rained on:
A. 95% to 100% of those days.
B. 85% to 94% of those days.
C. 75% to 84% of those days.
D. 65% to 74% of those days.
E
55% to 64% of those days.

Answers

Answer:

The correct option is;

D. 65% to 74%

Step-by-step explanation:

The accuracy of a forecast given based on a percentage or proportion or likelihood is determined by the based on the prevalence of the forecast in a similar proportion over the range of data points in which the forecast is made

Therefore, if it actually rained on 70% of those days for which the forecast was made, the forecast can be said to be very accurate.

Which is to say that the forecast of 70% chance of rain can be considered very accurate if it rained on 65 to 74% of those days which is in the range of the forecasted 70%.

Can someone helpp pls

Answers

Answer:

Step-by-step explanation:

You have to solve this as a system. We have 3 coordinates given; the first 2 are given as zeros of the quadratic, the 3rd one is given as a regular coordinate. The zeros of a quadratic are where the y values of a coordinate are 0's because the x-intercepts of a quadratic (aka zeros) exist where y = 0. We use each of those points in the standard form of a quadratic to solve for a, b, and c. First, (0, 0):

[tex]0 = a(0)^2+b(0)+c[/tex] which gives us that c = 0. We'll use that value of c as we move forward with the problem. Next we'll use (3, 0):

[tex]0=a(3)^2+b(3)+0\\0 =9a+3b[/tex]Hold that thought for a minute or 2. Next we'll use the coordinate (1, 6):

[tex]6=a(1)^2+b(1)+0\\\\6=a+b[/tex] Now we have a system that we can solve using either substitution or elimination for a and b. I used elimination:

6  =  a  +  b

0  = 9a + 3b  and multiply the top equation by -3:

-18  =  -3a  -  3b

 0  =   9a  +  3b

so

-18 = 6a and

a = -3. Now back solve for b:

6 = -3 + b so

b = 9 and our quadratic is

[tex]y=-3x^2+9x+0[/tex] or just

[tex]y=-3x^2+9x[/tex]

Write an exponential function that includes the following points (2,32) and (3,64)

Answers

Answer:

y=32x-32    

Step-by-step explanation:

This time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1  on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense

What is the quotient' mean?

Answers

The number obtained by dividing one number by another.
EX: Dividing 10 by 5 gives a quotient of 2.

Answer:

When you divide, the answer is the quotient.

Step-by-step explanation:

For example:

6/3 = 2

The quotient is 2

whats the squareroot of 144 needs to be simplified

Answers

Answer:

12

Step-by-step explanation:

The square root of any number is basically asking "what number multiplied by itself will equal this number?"

Usually you memorize these, but there's also a quick way to do it.

We know that [tex]10\cdot10=100[/tex], so the square root must be greater than 10.

We also know that [tex]15\cdot15=225[/tex], so the square root must be less than 15.

A good mid point between these numbers is 13. Let's see what 13 squared is:

[tex]13\cdot13=169[/tex]

So it's a bit less than 13. Let's try 12.

[tex]12\cdot12=144[/tex]

So 12 is the square root of 144.

Hope this helped!

Answer:

[tex]\huge\boxed{\sqrt{144}=12}[/tex]

Step-by-step explanation:

[tex]\begin{array}{c|c}144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\144=2\cdot2\cdot2\cdot2\cdot3\cdot3=2^2\cdot2^2\cdot3^2\\\\\sqrt{144}=\sqrt{2^2\cdot2^2\cdot3^2}=\sqrt{2^2}\cdot\sqrt{2^2}\cdot\sqrt{3^2}=2\cdot2\cdot3=12\\\\\text{Used}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\sqrt{a^2}=a\\\\\text{for}\ a\ge0,\ b\geq0[/tex]

Find the quotient and remainder when p (x) divides with g (x) question (i) P (x) = x raise to 4 - 3 x square +4x + 5, g (x) = x square +5 ​

Answers

Answer:  [tex]x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}[/tex]

Step-by-step explanation:

P(x) = x⁴ - 3x² + 4x + 5

g(x) = x² + 5

         _x²_- 8                          

x² + 5) x⁴ + 0x³ - 3x² + 4x + 5

        -(x⁴ + 0x³ + 5x²)  ↓     ↓  

                         -8x² + 4x  + 5

                       -(-8x² + 0x - 40)

                                    4x + 45

[tex]\dfrac{x^4-3x^2+4x+5}{x^2+5}=\large\boxed{x^2-8+\dfrac{4x+5}{x^4-3x^2+4x+5}}[/tex]

The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?




A
x=−8 and x=−2

B
x=−6 and x=10

C
x=−4 and x=4

D
x=−2 and x=6

Answers

Answer:

x= -2   and x = 6

Step-by-step explanation:

The solutions are where the two graphs intersect

x=6, y= 10  is one point

x=-2 and y = -6 is the other point

The intersection points of both the equations are the solutions

From the graph the points are

(6,10)(-2,-6)

Hence

x=-2 and x=6 are the solutions

Option D

Review what you know about products and sums represented by rectangular area models. [5 points] Use algebra tiles to multiply (x-1)(3x+2).

Answers

(x - 1)(3x + 2)
= 3x^2 + 2x - 3x - 2
= 3x^2 - x - 2

3x^2 - x - 2

What are some ways to solve an equation?

Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication, and division. If we add the same number to both sides of an equation, both sides will remain equal.

How do you evaluate an equation?

∫ y2+y−2dy ∫ y 2 + y − 2 d y∫ 2 1 y2 +y−2dy ∫ 1 2 y 2 + y − 2 d y∫ 2 −1 y2 +y−2dy ∫ − 1 2 y 2 + y − 2 d y

= (x - 1)(3x + 2)

= 3x^2 + 2x - 3x - 2

= 3x^2 - x - 2

Learn more about equation here https://brainly.com/question/10413253

#SPJ2

Triangle QRP is congruent to triangle YXZ. What is the perimeter of triangle YXZ?
What is the perimeter of triangle YXZ?

Answers

Answer:

Perimeter of XYZ = Perimeter of QRP

Step-by-step explanation:

Since congruent then

P of XYZ = P of QRP

#What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?

Discriminant = b2 – 4ac

–8
4
8
16

Answers

Answer:

16

Step-by-step explanation:

the quadratic equation –3 = –x2 + 2x can be changed into :

x²-2x-3= 0

a=1, b= -2 , and c = -3

so, the discriminant = (-2)²-4(1)(-3)

= 4 + 12 = 16

Consider function f. (-412 + 6.3 + 36, 1 < -2 15, 2 < I 4 Are the statements about the graph of function ftrue or false? true false 2 false The graph crosses the y-axis at (0.–15). The graph has a point of discontinuity at I = The graph is increasing over the interval (4, co) The graph is decreasing over the interval (-12, -2). false The domain of the function is all real numbers. false​

Please help

Answers

Answer:

Behold.

Step-by-step explanation

The answer to the statement is 1)false 2) false 3) true 4) true and 5) false.

Given functions,f

1) For x ≤ -2: f(x) = -12 + 6x

2) For -2 < x < 1: f(x) = 41 - 15x

3) For x ≥ 1: f(x) = 31 - 4x

1) The graph crosses the y-axis at (0, -15).

This is false because if x = 0, the function value would be -12 + 6 * 0 = -12, not -15.

2) The graph has a point of discontinuity at x = 1.

This is false because the function is defined at x = 1 there is no space, so there is no point of discontinuity at x = 1.

3) The graph is increasing over the interval (4, ∞).

This is true because the coefficient of x in the function's expression is negative, showing that it is decreasing. Therefore, as x increases, the function values decrease.

4) The graph is decreasing over the interval (-12, -2).

This is true because the coefficient of x in the first piece of the function (-12 + 6x) is positive, showing an increasing trend. Therefore, as x decreases from -12 to -2, the function values increase.

Statement 5: The domain of the function is all real numbers.

This is false because the domain of the function is limited by the intervals in its definition. The function is defined differently for different intervals of x.

So, the answer to the statement is

1) false

2) false

3) true

4) true

5) false

Learn more about functions here:

https://brainly.com/question/31062578

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If -10x = 5 what is the value of x​

Answers

Answer:

x = -1/2

Step-by-step explanation:

-10x = 5

Divide both sides by -10.

x = -1/2

I NEED HELP PLEASE FIRST ONE TO ANSWER THIS RIGHT GETS 5 STARS !

Answers

Answer:

The answer is 2

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

To solve the question first write 32 in exponential form

That's

[tex]32 = {2}^{5} [/tex]

Multiply the exponent by 1/5

That's

[tex] {2}^{5 \times \frac{1}{5} } [/tex]

We have the final answer as

2

Hope this helps you

Answer:

2

Step-by-step explanation:

32 ^ (1/5)

Rewriting 32 as 2^5

2^5 ^ 1/5

We know that a^b^c = a^ ( b*c)

2^ ( 5*1/5)

2^1

2

If a wheel has a radius of 5cm
how much is one rotation of the wheel
How many rotations can the wheel do within a distance of 50km

Answers

Answer:

circumference = 2*PI*radius

circumference = 2 * PI * 5 cm

circumference = 31.4159265358979 cm

50 km = 500,000 centimeters

rotations = 500,000  / 31.4159 cm

15,915.51  rotations

Step-by-step explanation:

COULD A KIND SOUL PLEASE HELP ME OUT?????!!!!!!!!!!!!!!!

In the triangle shown ,AB =2x +9 and BC=5x–12. Find the value of x.

show how you go the answer so I can see if it makes sense!!!

Answers

AB= 2x +9 and BC= 5x-12

2x +9 = 5x -12
(Now bring the x to the left, and rest to the right)

2x -5x = -12 -9
(Solve this)

-3x = -17
Then
: -3 to get x

So -17 : -3 u get 5.67
So

x = 5.67

(I think this would be the answer, if I’m wrong, I’m really sorry)

Answer:

In the given triangle, AB=BC

Now, 2x+9=5x-12

=> 5x-2x=12+9

=> 3x=21

=> x=21/3

=> x=7

Therefore, the value of x is 7.

G is a transformation of f. What is the formula of g in terms of f?
A. [tex]-\frac{1}{2}f(x)[/tex]
B. -2f(x)
C. f ([tex]-\frac{1}{2}x[/tex])
D. f(-2x)

Answers

Answer:

C

Step-by-step explanation:

First, we can see that from f(x) to g(x), the change in x for each change in y is significantly increased. This represents a stretch in the x direction. A stretch/compression in the x direction is represented by

f(cx), with c > 1 representing a compression by c and 0 < c < 1 representing a stretch by a value of 1/c. From the vertex of each, when y changes by 1, in f(x) x changes by 2 (e.g. from x=2 to x=4), whereas in g(x) x changes by 4 (e.g. from x=-4 to x=0). Therefore, g(x) stretches x by 2, so c = 1/2, giving us

f(c(x))

= f(1/2(x))

Let's say f(a) =  f(1/2(x))

Then, because the graph stretched by 2, the vertex goes from x=2 to x=4. Our vertex is at x=-4 in g(x), so to make the vertex equal to that, we can flip f(a) around the y axis. To flip this around the y axis, we can plug -a in for a, resulting in

f (-(a))

= f(-(1/2)(x))

= g(x)

This is the question ​

Answers

For answers, please refer to the picture attached

Answer:

I can't give a full answer because I can't see the image whilst giving an answer but I'll try so....

Step-by-step explanation:

Angles in a straight line add to 180° so when you have one of two of them angles are them together and take away from 180°

Angles around a full point add to 360° so add angles together and take away from 360°

On A I think it is you have a 360° angle and have to work out 3 and you have one already done and the opposite angle is the same as that so you basically have two angles then you add them together then take from 360 then divide the answer by two and then that would be the angles for a and x

And for the last one you have been given two angles with a right angle and a right angle equals 90 so add them together and take from 180 to get the missing angle

Hope this helps :)

As part of a chemistry experiment, Barry is making a mixture of two solutions. He uses 4 cups of solution A for every 2 cups of solution B. The table below shows the numbers of cups he uses of solution A and solution B. Solution A (cups) Solution B (cups) 4 2 8 4 12 6 16 8 Using the information from the table, choose the correct statement. A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3. B. The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2. C. There are 3 cups of solution A for every 6 cups of mixture. D. For each cup of solution A, there are 2 cups of solution B.

Answers

Answer:

A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3

Step-by-step explanation:

Solution A= 4 cups

Solution B= 2 cups

Total cups of the mixture=4+2=6

A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3.

Solution A= 4 cups

Mixture=6 cups

Solution A : Mixture =4 : 6

=2:3

Option A is true

B. The ratio of the number of cups of solution A to the total number of cups of the mixture is 3:2.

Solution A= 4 cups

Mixture=6 cups

Solution A : Mixture =4 : 6

=2:3

Option B not true

C. There are 3 cups of solution A for every 6 cups of mixture.

Option C states that:

Solution A=3 cups

Mixture=6 cups

Solution A : Mixture=3:6=1:2

This is not true

D. For each cup of solution A, there are 2 cups of solution B.

Option D states:

Solution A= 1 cups

Solution B= 2 cups

This is not true

It is rather

Solution A= 2 cups

Solution B= 1 cups

Therefore, option A. The ratio of the number of cups of solution A to the total number of cups of the mixture is 2:3 is the correct statement

plz help me this will be appreciated ​

Answers

Answer:

1. h

2. b

3. a

4. d

5. c

Step-by-step explanation:

all answers are straight forward. only the last (5) is phrased a bit strangely. I would have said "reflect across a horizontal line".

Other Questions
7x-x ............................ . The graph of the function f is the graph of the function g compressed horizontally by a factor of 2 and shifted to the right by 1. Which of the following correctly defines the function f? A) f(x) = g(2x - 1) B) f(x) = g(2x - 2) C) f(x) = g(1/2 * x - 1/2) D) f(x) = g(1/2 * x - 1) What well-known parallel is 1.6 South of 22.9068 S, 43.1729 W? A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.) from a large batch of cups. They take a random sample of 200 cups from the batch of a few thousand cups and found 18 to be defective. The goal is to perform a hypothesis test to determine if the proportion of defective cups made by this machine is more than 8%.Required:a. Calculate a 95% confidence interval for the true proportion of defective cups made by this machine.b. What is the sample proportion?c. What is the critical value for this problem?d. What is the standard error for this problem? there are lot of people __the shop.(in,at,on) PLEASE ANYONE HELP PLEASE)):???!!! Solve the inequality 5x < 16 +x.x < 1/4x>1/4x4 Given the function f(x) = x2 + 8x 12, what is thevalue of f(2)? Find the first three nonzero terms in the power series expansion for the product f(x)g(x). f(x) = e^2x = [infinity]n=0 1/n! (2x)^ng(x) = sin 5x = [infinity]k=0 (-1)^k/(2k+1)! (5x)^2k+1The power series approximation of fx)g(x) to three nonzero terms is __________(Type an expression that includes all terms up to order 3.) (c) It takes you hours to to bring the turkey from to . During that time, the electrical grid transfers a constant Watts of power into the the oven. Take the turkey and the air in the oven to be your system. What was the thermal transfer of energy between the system and the surroundings Write the words in brackets in the appropriate forms of the future tense. A Wonderful Plan Allison and Nate, a brother and sister, live together in an apartment. They attend university in the same city, so they live together to share expenses. Their parents live in a different city, but they are visiting their children this weekend. In fact, they________(arrive) at the airport in about an hour! Nate and his older sister talk about all the arrangements they made for their parents visit. Okay, so we________(go) to the concert tonight, right? Nate asks. That is right, Allison replies. We are seeing the orchestra at 7:00pm. Are we _______(go) to the museum tomorrow, then? her brother asks. Yes, I reserved tickets for the special exhibition on mummies, Allison says. Are you coming with us or are you meeting with your study group? No, I am definitely going with you to the museum, Nate answers. I love mummies! All right, so we are picking Mom and Dad up in about an hour. Yes, I _______(leave) in five minutes, Allison says. Nate is confused. What do you mean? We are both__________(go), right? Of course not! Allison laughs. Look at this place! I was very busy making all the reservations and getting all the tickets. We did not clean at all! Oh no, you are right! Nate looks at the messy living room and remembers all the dirty dishes in the kitchen. What will we do? Do not worry, my dear brother, Allison says, smiling. You know I always have a plan. Is a cleaning service coming? Nate asks. Are Mom and Dad staying in a hotel? No, silly! Allison replies. No one _______ (come) to help us clean. Then what is your wonderful plan? What are we doing to get the apartment clean? Mom and Dad are arriving in just forty-five minutes! Now Nate___________ (get) really nervous. Not to worry, Allison reassures her brother. I am driving to the airport to pick them up, and then we are all going to a new art gallery that just opened. We are taking a guided tour for an hour. How does an art gallery tour get the house clean? Nate wonders. That does not clean the house! Remember that you _______ (stay) here, little brother, Allison says, giving him a hug before she walks to the door. This way you will have lots of time! I _______ (go) out to have fun with Mom and Dad because I am a wonderful daughter, and you _______ (stay) here to clean the whole apartment because you are a wonderful son! - meaning in English If an organizations DNS server can resolve a DNS request from its own cache, the DNS server is said to be ____. A gallon of paint covers 400 square feet. How many square feet will 2 3/8 gallons of paint cover. How do you solve this problem.Answers (A) 950 sq ft (B) 986 sq ft(C) 1,040 sq ft (D) 1,068 sq ft What is 1/3 of 675 is left 150,75,50 what number comes next please help me please Which phrase is the best definition of the word technology, in the narrowsense?O A. Tools and their useO B. Exchange of new ideasO C. Fast communicationO D. Better ways to do things factor x-a in such a way that square root of x - square root of a is a factor if you drop a rock with a density of 1.73 grams will it float or sink