Drag the tiles to the correct boxes to complete the pairs match each pair of rational numbers with their sum -2/a^b+2/ab^2

Drag The Tiles To The Correct Boxes To Complete The Pairs Match Each Pair Of Rational Numbers With Their

Answers

Answer 1

The pair of rational numbers with their sum are matched.

What is rational number?

The numbers in the form of p/q is called the rational number.

1. -2/a²b +2/ab² = ( -2ab² +2a²b) / a³b³

                          = 2(a-b)/a²b²

2. 1/2ab -1/4a²b² =( 4a²b² -2ab) / 8a³b³

                            = 2ab -1 /4a²b²

3. 2/a²b³ -2/ab = (2ab -2a²b³) / a³b⁴

                         = 2( 1- ab²) /a²b³

4. 1/ab³ -1/a²b = a²b - ab³ / a³b⁴

                       = (a - b²) / a²b³

Thus, all the rational numbers are matched with their sum.

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Related Questions

Is the graph increasing, decreasing, or constant?

Answers

the graph is decreasing

Answer:

Decreasing

Step-by-step explanation:

Because the equation of that graph is Y=-X, and the - in the X represents that the graph is decreasing.

What is the perimeter of WXYZ?

There are two triangles, triange WXZ and triangle YXZ having a common side XZ. The vertex W and vertex Y are on opposite sides of the side XZ. The length of the side WX is 15 and the length of the side XZ is 11. Angle ZWX is congruent to angle WXZ and all the angles of the triangle YXZ are congruent.

Answers

Its 48

33+15

Step-by-step explanation:11+11+11+15= Perimeter

33+15 = Perimeter

48 = Perimeter

Estimate the size of a crowd at a concert where the area is 100 feet by 300 feet
(approximately the size of a football field). Assume 1 person for each 2.5 square feet.
a. 12,000
b. 10,000
c. 24,000
d. 5,000

Answers

The size of the crowd is 12,000

What is area of plane shape?

This is the portion covered by the shape.

Analysis:

Area of field = 100 x 300 = 30000 square feet

If 1 person covers 2.5 square feet of the file then 30000/2.5 = 12,000 persons will cover the whole field.

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¿Qué número es 100 más que 897?

Answers

Answer:

997

Step-by-step explanation:

Hope this helps a little.

Any ideas for solving this beast

Answers

Answer:

option c

Step-by-step explanation:

What is the area of the target that earns at least 30 points on a throw?

Select the correct from the drop-down menu.

Answers

The area of the target that earns at least 30 points on a throw is 379.94 square inches

How to determine the area?

The target areas that earn at least 30 points on a throw are:

30-point, 40-point and 50-point


From the question, we have:

Radius 50-point = 3Width 40-point = 4Width 30-point = 4

So, the total radius is:

r = 3 + 4 + 4

Evaluate the sum

r = 11

The area is then calculated as:

A = πr²

This gives

A = 3.14 * 11²

Evaluate

A = 379.94

Hence, the area of the target that earns at least 30 points on a throw is 379.94 square inches

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Answer:

49  square inches

Step-by-step explanation:

edmentum/ Plato hope this helps

Find an angle between 0 degrees and 360 degrees and that is coterminal with 1260 degrees.

Answers

Answer:

The 180 degrees angle.

Step-by-step explanation:

We can start by dividing 1260 / 360 = 1080. Therefore, a 1080 degrees angle would be coterminal with 360.

Now we take 1260 - 1080, to see how many degrees we have left, this gives us: 180, therefore, the angle between 0 and 360 that is coterminal with 1260 degrees is the 180 degrees angle.

PLEASE HELP!! I cant choose!

Tariq refuses to shoplift from the neighborhood store because he believes stealing is wrong. What concept is this an example of?

A) Self-efficacy
B) Empathy
C) Perspective
D) Ethics

Answers

I believe the answer is D) Ethics.

Explicit; The five principles of Ethics are, autonomy, justice, beneficence, nonmaleficence, and fidelity are each absolute truths in and of themselves. So therefore I believe he decided not to shoplift due to moral principles in relation with Ethics

Find the value of x that makes line m parallel to line n.​

Answers

Answer: x = 20

Step-by-step explanation:

   If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for x.

Given:

(4x - 23) = (2x + 17)

Add 23 to both sides of the equation:

4x = 2x + 40

Subtract 2x from both sides of the equation:

2x = 40

Divide both sides of the equation by 2:

x = 20

The volume of a box is 143.4 in3. find the volume of a larger, similarly shaped box that has a scale factor of 3. round your answer to the nearest tenth.

3,871.8 in3
430 in3
1,290.6 in3
47.8 in3

Answers

Answer:

1,290.6 in3                                                                                                                                                  

nut.

A sequence is defined recursively by the formula f(n 1) = f(n) 3 . the first term of the sequence is –4. what is the next term in the sequence? –7 –1 1 7

Answers

The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)

How to determine an element of a sequence

In mathematics, sequences are sets whose elements observe at least a condition, which is represented by a recursion formula in this question:

f(n + 1) = f(n) + 3

Thus, the following term of the sequence is:

f(2) = f(1) + 3

f(2) = - 4 + 3

f(2) = - 1

The sequence whose first term is - 4 and defined recursively by the formula f(n + 1) = f(n) + 3 have the element - 1 as the next term. (Correct choice: B)

Remark

The statement is poorly formatted and reports typing mistakes. Correct statement is:

A sequence is defined recursively by the formula f(n + 1) = f(n) + 3. The first term of the sequence is - 4. What is the next term in the sequence? a) - 7, b) - 1, c) 1, d) 7

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Elijah made 14 quarts of punch for a party. How many gallons of punch did he make?

Answers

Answer:

3.5 gallons of punch

Step-by-step explanation:

There are 4 quarts in 1 gallon.

Set up equation to convert 14 quarts to gallons: 14÷4 = 3.5.

Elijah made 3.5 gallons of punch.

MATH!!! 15 points ;)) find the volume of the composite figure
please answer correctly and check over your work...

Answers

Answer:

(2*2*1.5*1/3)+(2*1.5*4)= 14

Step-by-step explanation:

To find the area of a pyramid, you use the equation of 1/3 *lwh. When we place the values in there, we get 2*2*1.5*1/3, which is equal to 2. Then we solve the bottom part. Since it is a rectangular prism, we use the equation of lwh. When we insert the values, we get 2*1.5*4, which is equal to 12. Now, we take these two values of 2 and 12 and we combine them, giving us our final answer of 14.

Solve5x+3=23

answers:

4

5.5

15

25​

Answers

The answer is 4.
23-3=20
5x=20
And 5x4=20
X = 4
5x + 3 = 23
5x = 23 - 3
5x = 20
X= 4

5. (3.5pts) Given the equation y = y²x+2 cos(x) find . Show each step of your work.
dx

Answers

Answer:

[tex]\dfrac{dy}{dx}=\dfrac{y^2-2 \sin(x)}{1-2xy}[/tex]

Step-by-step explanation:

Given equation:

[tex]y=y^2x+2 \cos(x)[/tex]

To find the derivative of the given equation, use implicit differentiation.

Add d/dx in front of each term:

[tex]\dfrac{d}{dx}\:y =\dfrac{d}{dx}\:y^2x+\dfrac{d}{dx}\:2 \cos(x)[/tex]

Differentiate terms in x only (and constant terms) with respect to x:

[tex]\dfrac{d}{dx}\:y =\dfrac{d}{dx}\:y^2x-2 \sin(x)[/tex]

Use the chain rule to differentiate terms in y only:

(in practice this means to differentiate with respect to y then place dy/dx on the end)

[tex]\dfrac{dy}{dx}\: =\dfrac{d}{dx}\:y^2x-2 \sin(x)[/tex]

Use the product rule on the term in x and y:

[tex]\textsf{let }u=y^2 \implies \dfrac{du}{dx}=2y \dfrac{dy}{dx}[/tex]

[tex]\textsf{let }v=x \implies \dfrac{dv}{dx}=1[/tex]

[tex]\implies u\dfrac{dv}{dx}+v\dfrac{du}{dx}=y^2+2xy \dfrac{dy}{dx}[/tex]

Therefore:

[tex]\dfrac{dy}{dx} =y^2+2xy \dfrac{dy}{dx}-2 \sin(x)[/tex]

Rearrange to make dy/dx the subject:

[tex]\dfrac{dy}{dx}-2xy \dfrac{dy}{dx} =y^2-2 \sin(x)[/tex]

[tex]\dfrac{dy}{dx}(1-2xy)=y^2-2 \sin(x)[/tex]

[tex]\dfrac{dy}{dx}=\dfrac{y^2-2 \sin(x)}{1-2xy}[/tex]

find the equation of the line:

Answers

The slope of AB is (0-4)/(-2-0)=2, so since perpendicular lines have negative reciprocal slopes, the slope of the perpendicular line is -0.5.

So, the equation of the line is:

y + 1 = -0.5(x - 5)

y + 1 = -0.5x + 2.5

y = -0.5x + 1.5

Help me with number 14 plss

Answers

Answer:

-3 1/5

Step-by-step explanation:

to find the slope of the line you use the equation (y2 - 1) / (x2 - x1)

when plugged in you get

(5 + 3) / (-2 1/4 - 1/4)

then you do what is inside the parenthesis

8 / -2 1/2

8 / -2.5

lastly you divide

you get -3 1/5

that is your answer

Lawrence poured 27.328 L of water into a right rectangular prism- shaped tank. The base of the tank is 40 cm by 28 cm. When he finished pouring the water, the tank was ⅔ full. ( 1L=1,000 cm 3).

Answers

By using the given dimensions and volume of water, we will see that the height of the tank is 36.6cm

How to find the height of the tank?

We know that 27,238 cm³ is the volume of water on the tank, and this is equal to 2/3 of the volume of the tank.

So we can write:

27,238 cm³ = (2/3)*V

Then the volume of the tank is:

V = (3/2)*27,238 cm³ = 40,992 cm³

The base of the tank measures 40cm by 28cm, then:

B = 40cm*28cm = 1,120 cm²

Then the height H is such that:

H*1,120 cm² = 40,992 cm³

Solving for H:

H = (40,992 cm³)/(1,120 cm²) = 36.6cm

The height of the tank is 36.6 centimeters.

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The depth of a diver is her distance below sea level because depth represents a distance

Answers

The depth of the diver is 32 feet below sea level.

What is the angle of elevation?

The angle of elevation is the angle between the observer's eyesight horizontal line and the object. The complete question can be seen in the image attached below.

The depth of the diver is the absolute value of -32 since it can't be negative.

= |-32|

= 32

Therefore, we can conclude that the depth of the diver is 32 feet below sea level.

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What is the value of -3r+ 8 when r=4

Answers

Answer: -4.


Explanation: Because -3*4=-12. -12+8=-4.

When accessing your credit card information online, you cannot ___

see statements

view the balance

make purchases

view the bill due dates

Answers

When accessing your credit card information online, you cannot makes purchase.

What is credit card?

A credit card is a card that enables a card holder to buy or purchase things online on credit.

A credit card holder can carryout the following when accessing their credit card data online:

See their statementsView their balanceView their bill due dates

Therefore the correct option is C.

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in a school of 330 students , 85 of them are in drama ,200 of them are in a sports teAM AND 60 OF THEM DO DRAMA AND SPORTS.

fIND THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS

Answers

THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Let's denote students

D = in the drama club ,

S = in a sports team

So, P(D) = 85/330

P(S) = 200/330

P(D and S) = 60/300

P(D or S) = P(D) + P(S) - P(D and S)  

P(D or S) = 85/330 + 200/330 - 60/330

P(D or S) = 15/22

P(neither D nor S) = 1- 15/22

P(neither D nor S) = 7/22

Thus, THE PROBABILITY THAT A STUDENT CHOSEN AT RANDOM ISNT IN DRAMA OR SPORTS is 7/22.

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Select the correct answer from each drop-down menu. two six-sided fair dice are rolled simultaneously. the probability that the sum of the two numbers rolled is greater than 3, given that the sum of the numbers is not greater than 5, is . the probability that one of the numbers is a 6 and the sum of the two numbers is an odd number is .

Answers

Two six-sided fair dice are rolled simultaneously.... 6 and the sum of the two numbers is an odd number is mathematically given as

x=7/10

What is the sum of the two numbers?

Generally, the equation for Number is mathematically given as

[tex]x=P\frac{E > 3}{Enot > 5}\\\\Therefore\\\\x=P\frac{E > 3}{E\leq5}\\\\x=P\frac{4\leq E \leq5}{E\leq5}\\\\x=P\frac{7/36}{10/36}[/tex]

x=7/10

In conclusion,  the sum of the two numbers

x=7/10

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Given:

AD = CB

DC = BA

Prove:

∠3 = ∠2



Which of the following triangle congruence theorems would be used in this proof?

ASA
AAS
SSS

Answers

The congruence theorem that can be used to prove that both triangles are congruent is: C. SSS.

What is the SSS Congruence Theorem?

The SSS congruence theorem is a triangle theorem which states that two triangle are congruent if they have three pairs of corresponding sides that are congruent.

The triangles in the image given have the following three corresponding sides that are congruent:

AD ≅ CBDC ≅ BAAC ≅ CA (reflexive property)

Therefore, the congruence theorem to prove they are congruent is: C. SSS.

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What is the rate of change ( slope) for the given line

Answers

It’s extremely hard to tell, but it looks like it’s 3 over 2, which is 3/2.

3/2 is 1.5, or just 3/2. Since the line is going down, the slope would be negative, so -3/2.

Hope this helps!

Answer:

Step-by-step explanation:

-3/2 i think

THis might be wrong tho

What is the y-intercept of this line?
y = =+5
b = [?]

Answers

Answer:

b = 5

Step-by-step explanation:

The y intercept is the value when x =0

y = mx+b  where b is the y intercept

b = 5

Answer:

b = 5

Step-by-step explanation:

Slope-Intercept form: y = mx + b

where:

m is the slopeb is the y-intercept (when x = 0)

[tex]\sf \textsf{Given:}\ \dfrac{-4x}{3}+5[/tex]

[tex]\sf \textsf{slope:}-\dfrac{4}{3}[/tex][tex]\sf \textsf{y-intercept:}\ 5[/tex]

Therefore, the value of b is 5.

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Now Ann is x years old and her sister is eight years younger than her. After five years , Anne's age is twice the age of her sister.

Write down the ages of Anne and her sister after five years in terms of x.

Please help me friends

Answers

Answer:

You can refer to the given attachment

he price of a used motorbike is 4975. Danny, a buys the motorbike for 3781. What is the discount percent given?

Answers

well, we know the discount is 4975 - 3781 = 1194.

if we take 4975 to be the 100%, what is 1194 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 4975 & 100\\ 1194& x \end{array} \implies \cfrac{4975}{1194}~~=~~\cfrac{100}{x}\implies \cfrac{26}{6}=\cfrac{100}{x} \\\\\\ 26x = 600\implies x=\cfrac{600}{26}\implies x\approx 23.08[/tex]

Answer:

0.76

Step-by-step explanation:

4975 × 0.76 = 3781

the discount percent given is .76%

Translate the english phrase into an algebraic expression: the quotient of m and the sum of n and p.

enter all quotients as fractions.

Answers

The English phrase can be written as the fraction:

   [tex]\frac{m}{n + p}[/tex]

How to write the algebraic expression?

Remember that the quotient between two numbers gives a fraction.

Now, we have the sentence:

"the quotient of m and the sum of n and p."

Then we know that the numerator is m, and the denominator is (n + p) (the sum of n and p).

So the expression will just be the fraction:

[tex]\frac{m}{n + p}[/tex]

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In which number does the 7 have a value that is 1/100 the value of the 7 in 468.705?

A 564.270
B 695.187
C 713.442
D 870.349

NEED HELP ASAP

Answers

Answer:

B 695.187

because 7 in 468.705 has value 1/10

1/100×1/100 is 1/1000 which is 0.007.

Answer:

B. 695.187

Explanation:

In the number 468.705, the number 7 is in tenths place (0.1)

If the value of 7 in that number which is 0.1 has value of 1/100, then

0.1 × 1/100 = 0.001  (thousand place)

Then the number 7 will be in thousands place: 0.007

Among options, option B (695.187) has the value of 7 in thousands place.

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