pleeeeeeeeeeeeeeeeas FAST !!!!! i need help if a/b = (-7/9)^8 / (-7/9)^6 find the value of (a/b)^2.

Answers

Answer 1

Answer:

 (-7/9)^4 = 2401/6561

Step-by-step explanation:

The rules of exponents apply.

  (a^b)/(a^c) = a^(b-c) . . . . . quotient rule

  (a^b)^c = a^(bc) . . . . . . . . power rule

__

value of a/b

The first rule of exponents shown above helps us find the value of a/b.

  [tex]\dfrac{a}{b}=\dfrac{\left(\dfrac{-7}{9}\right)^8}{\left(\dfrac{-7}{9}\right)^6}=\left(\dfrac{-7}{9}\right)^{8-6}=\left(\dfrac{-7}{9}\right)^2[/tex]

value of (a/b)^2

The second rule of exponents shown above tells us how to find the square.

  [tex]\left(\dfrac{a}{b}\right)^2=\left(\left(\dfrac{-7}{9}\right)^2\right)^2=\left(\dfrac{-7}{9}\right)^{2\times2}\\\\\boxed{\left(\dfrac{a}{b}\right)^2=\left(\dfrac{-7}{9}\right)^4=\dfrac{2401}{6561}}[/tex]

_____

Additional comment

Since -7 is always to an even power in these expressions, its sign can be ignored. The product of an even number of negative values is positive.


Related Questions

Question 3 of 10
Theresa has a credit card that uses the average daily balance method. For the
first 12 days of one of her billing cycles, her balance was $350, and for the
last 19 days of the billing cycle, her balance was $520. If her credit card's APR
is 14%, which of these expressions could be used to calculate the amount
Theresa was charged in interest for the billing cycle?

Answers

The amount that Theresa was charged in interest for the billing cycle is $5.30

How to calculate the interest?

By using the average daily balance, the amount will be:

= (350 × 12) + (520 × 19) / (12 + 19)

= (4200 + 9880)/31

= 454.19

Therefore, the interest will be:

= (454 × 0.14)/12

= $5.30

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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products. (xy + 9y + 2) and (xy – 3) x2y2 + 3x2y – 7xy – 27x – 18 (2xy + x + y) and (3xy2 – y) 6x2y3 – 2xy2 + 3x2y2 – xy + 3xy3 – y2 (x – y) and (x + 3y) x3y + 3x2 + 3x2y2 + 7xy – 6 (xy + 3x + 2) and (xy – 9) x2 – 9y2 (x2 + 3xy – 2) and (xy + 3) (x + 3y) and (x – 3y)

Answers

The products of the polynomials are:

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²(x - y) * (x + 3y) = x² + 2xy + 3y²(xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6(x + 3y) * (x – 3y) = x² - 9y²

How to evaluate the products?

To do this, we multiply each pair of polynomial as follows:

Pair 1: (xy + 9y + 2) and (xy – 3)

(xy + 9y + 2) * (xy - 3)

Expand

(xy + 9y + 2) * (xy - 3) = x²y² - 3xy + 9xy² - 27y + 2xy - 6

Evaluate the like terms

(xy + 9y + 2) * (xy - 3) = x²y² - xy + 9xy² - 27y - 6

Pair 2: (2xy + x + y) and (3xy² - y)

(2xy + x + y) * (3xy² - y)

Expand

(2xy + x + y) * (3xy² - y) = 6x²y³ - 2xy² + 3x²y² -xy + 3xy³- y²

Pair 3: (x – y) and (x + 3y)

(x - y) * (x + 3y)

Expand

(x - y) * (x + 3y) = x² + 3xy - yx + 3y²

Evaluate the like terms

(x - y) * (x + 3y) = x² + 2xy + 3y²

Pair 4: (xy + 3x + 2) and (xy – 9)

(xy + 3x + 2) * (xy – 9)

Expand

(xy + 3x + 2) * (xy – 9)  = x²y² - 9xy + 3x²y - 27x + 2xy - 18

Evaluate the like terms

(xy + 3x + 2) * (xy – 9)  = x²y² - 7xy + 3x²y - 27x  - 18

Pair 5: (x² + 3xy - 2) and (xy + 3)

(x² + 3xy - 2) * (xy + 3)

Expand

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 9xy - 2xy - 6

Evaluate the like terms

(x² + 3xy - 2) * (xy + 3)  = x³y + 3x² + 3x²y² + 7xy - 6

Pair 6: (x + 3y) and (x – 3y)

(x + 3y) * (x – 3y)

Apply the difference of two squares

(x + 3y) * (x – 3y) = x² - 9y²

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help meeee i need 100

Answers

Jay’s elevation is at -20.
Talia’s elevation is at 20.

Find the area of the triangle ABC with the coordinates of A(10, 15) B(15, 15) C(30, 9).
A= units^2

Answers

Check the picture below.  so, that'd be the triangle's sides hmmm so let's use Heron's Area formula for it.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{15}) ~\hfill a=\sqrt{[ 15- 10]^2 + [ 15- 5]^2} \\\\\\ ~\hfill \boxed{a=\sqrt{125}} \\\\\\ (\stackrel{x_1}{15}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{9}) ~\hfill b=\sqrt{[ 30- 15]^2 + [ 9- 15]^2} \\\\\\ ~\hfill \boxed{b=\sqrt{261}}[/tex]

[tex](\stackrel{x_1}{30}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill c=\sqrt{[ 10- 30]^2 + [ 5- 9]^2} \\\\\\ ~\hfill \boxed{c=\sqrt{416}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{125}\\ b=\sqrt{261}\\ c=\sqrt{416}\\ s\approx 23.87 \end{cases} \\\\\\ A\approx\sqrt{23.87(23.87-\sqrt{125})(23.87-\sqrt{261})(23.87-\sqrt{416})}\implies \boxed{A\approx 90}[/tex]

Use the euclidean algorithm to find integers $x$ and $y$ such that $164x + 37y = 1,$ with the smallest possible positive value of $x$. state your answer as a list with $x$ first and $y$ second, separated by a comma.

Answers

Well, let's use the Euclidean algorithm:

164 = 4×37 + 16

37 = 2×16 + 5

16 = 3×5 + 1

Then working backwards,

1 = 16 - 3×5

1 = 16 - 3×(37 - 2×16) = 7×16 - 3×37

1 = 7×(164 - 4×37) - 3×37 = 7×164 - 31×37

so that x = 7 and y = -31.

4(x − 3) + 5x − x² for x = 2

Answers

Answer:

2

Step-by-step explanation:

Start by simplifying the expression:

[tex]4(x-3)+5x-x^2[/tex]

Use distribution:

[tex]4x-4(3)+5x-x^2\\4x-12+5x-x^2[/tex]

Add like terms:

[tex]9x-12-x^2[/tex]

Now, substitute the given value of x into the expression:

[tex]9(2)-12-2^2\\18-12-4\\6-4\\2[/tex]

Answer:

2

Step-by-step explanation:

Given: 4(x − 3) + 5x − x²

x = 2

Substitute 2 for the value of x in the expression and simplify:

➜ 4(2 − 3) + 5(2) − (2)²

➜ 4(−1) + 10 − 4

➜ -4 + 10 - 4

2

Therefore, the value of the expression when x equals 2 is 2.

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geometry problem please help!

Answers

Answer:

x = 3

Step-by-step explanation:

the midsegment XW is half the sum of the parallel bases , that is

7x + 10 = [tex]\frac{1}{2}[/tex] (46 + 16 ) = [tex]\frac{1}{2}[/tex] × 62 = 31 ( subtract 10 from both sides )

7x = 21 ( divide both sides by 7 )

x = 3

Sally learnt how to fix boxes using nails from her father. 4 nails are needed to set up a box. Sally bought 692 nails and had 200 nails left after setting up some boxes. How many boxes did Sally set up?

Answers

Answer:

Step-by-step explanation:

Answer: 123 boxes

Step-by-step explanation:

Find how many nails she used.

692-200=492

she used 492 nails

we know that 4 nails are needed to set up a box

so we divide.

492/4=123

Sally set up 123 boxes

HELP ASAP

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

V = 3053.63 mm^3

Step-by-step explanation:

radius : 9mm

V = 4/3 * pi * r^3

V = 4/3 * (3.1415926535898...) * 9^3

V = 3053.63 mm^3

Mrs cunningham wants to use rubber tiles to cover the floor of an indoor playground
what is the unit cost per ruber tile

Answers

Answer:

the unit cost per rubber tile is $$$$$$$$$$$$$6

Step-by-step explanation:

..

Which equations and/or functions represent the graphed line? Select three options.

A coordinate plane with a line passing through the points, (negative 4, 0), (negative 2, 1), (0, 2), and (2, 3).

Answers

The equations of the graphed line and function can be written as:

f(x) = 1/2x + 2

y - 3 = 1/2(x - 2)

y - 1 = 0.5(x + 2)

What is the Equation of a Graphed Line?

Equation of a graphed line can be expressed in:

Slope-intercept form as y = mx + b, where m = slope, b = y-intercept; or

Point-slope form as y - b = m(x - a), where (a, b) is a point and m = slope.

Find the slope (m) of the line:

Slope (m) = change in y / change in x = 1/2 = 0.5

y-intercept (b) = 2

To express the graphed line in slope-intercept form, substitute m = 1/2 and b = 2 into f(x) = mx + b:

f(x) = 1/2x + 2.

Using the point-slope form, write the equation by substituting m = 1/2 and (a, b) = (2, 3) into y - b = m(x - a):

y - 3 = 1/2(x - 2)

Or substitute m = 0.5 and (a, b) = (-2, 1) into y - b = m(x - a):

y - 1 = 0.5(x - (-2))

y - 1 = 0.5(x + 2)

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Order the numbers from least to greatest. 0.35, 3/5 , 38%
Least # _________ U, _________ I, _________ N Greatest #

Answers

Answer:

.35 < 38% < 3/5

Step-by-step explanation:

.35 is the same as 35 percent which is less than 38, and 3/5 when divides is .60 turned into percent is 60 percent

what’s the answer to this

Answers

Answer:

Step-by-step explanation:

(2,1) and (4,2) are on the line.

slope

[tex]=\frac{2-1}{4-2} =\frac{1}{2} \\[/tex]

eq. of line is

[tex]y-1=\frac{1}{2} (x-2)\\2y-2=x-2\\2y=x\\or \\x-2y=0\\[/tex]

in slope intercept form

[tex]y=\frac{1}{2} x[/tex]

3500 people attended a baseball game. 1330 of the people attending supported the home team, while 2170 supported the visiting team. what percentage of people attending supported the home team?

Answers

Answer:

38% is your answer boss. hope that helps :)

The percentage of people who supported the home team is 38 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total number of people attending the baseball game = 3500 people

The number of people supporting the home team = 1300 people

The number of people supporting the visiting team is = 2170

Now , the equation will be

The percentage of people supporting the home team is = number of people supporting the home team / total number of people attending the baseball game

Now , the equation will be

The percentage of people supporting the home team is A = ( 1300 / 3500 ) x 100

The percentage of people supporting the home team is A = 0.38 x 100

The percentage of people supporting the home team is A = 38 %

Therefore , the value of A is 38 %

Hence , The percentage of people who supported the home team is 38 %

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13. (a) In any triangle ABC, if C = 300,b= 4, a = 2 find A and B. [3] (b) If a = b = c and a,b,c are in G.P., show that x,y,z are in H.P. [2]

please, solve them ​

Answers

Step-by-step explanation:

oksosjaoqkqeand

[tex]66 \sqrt[3x9 \frac{ \sqrt[xx. \sqrt[36 \sqrt[3136(2 > kaki \: kwl{]{?} ]{?} ]{?} }{?} ]{?} [/tex]

Nine with two make 11

5• (4 • x ) simplified

Answers

Step-by-step explanation:

= 5 • ( 4• x )

= 5 ( 4x )

= 20x

[tex]...[/tex]

PLS HELP ASAP !!!!!!!!!!

Answers

Answer:

Alice

Step-by-step explanation:

14$ the amount he had - X the amount he lost (the unknown) is what is described by Alice

According to this factor tree, which of the following statements is true?

Answers

Answer:

option c

Step-by-step explanation:

a) NOT TRUE

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

3 and 7 are not composite numbers because each of them can only be divided by one and itself

b) NOT TRUE

2 is also a prime number so 3 and 7 are not the only numbers

c) TRUE

All the number listed are prime numbers hence why they are all at the bottom of the tree (only have 1 and itself as factors)

d) NOT TRUE

21 is not a prime number. The number 21 is divisible by 1, 3, 7, 21. For a number to be classified as a prime number, it should have exactly two factors. Since 21 has more than two factors, i.e. 1, 3, 7, 21, it is not a prime number.

To increase sales, an online clothing store began giving a 50% off coupon to random customers. Customers didn't know whether they would receive the coupon until after the final sale. The website claimed that one in five customers received the coupon. Six customers each made purchases from the website. Let X = the number of customers that received the 50% off coupon.

Answers

To increase sales, an online clothing store began giving a 50% off coupon to random customers Six customers each made purchases from the website the binomial random variable and  mean and standard deviation of X  is mathematically given as

[tex]X ~ Bin(n = 6, p = 0.2)[/tex]

x= 0.9798

What is a binomial random variable?

Generally, the equation for is mathematically given as

P(coupon) = 1/5

P(coupon)= 0.2

the binomial distribution

[tex]X ~ Bin(n = 6, p = 0.2)[/tex]

Therefore, The mean and standard deviation of X

[tex]пВ = np \\np= 6* 0.2 = 1.2\\[/tex]

[tex]x=\sqrt{ np(1 - p)} \\ x=\sqrt{ 6 * 0.2 + (1 -0.2)} \\[/tex]

x= 0.9798

In conclusion, mean and standard deviation of X

x= 0.9798

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Type the correct answer in the box.

b
b
In the figure, a square is inside another bigger square.
If a=4 units and b=3 units, the length of the diagonal of the outside square rounded to the nearest tenth is
Inside square rounded to the nearest tenth is
units.
units and the length of the diagonal of the

Answers

Answer:

5.7 and 4.2

Step-by-step explanation:

Outside diagonal = √a² + a² = √4² + 4² = 4√2

= 5.7

Inside diagonal = √b² + b² = √3² + 3² = 3√2

= 4.2

Find the greatest common factor of 15x2y³ and -18x³yz.

Answers

Answer:

GCF=3[tex]x^{2}y[/tex]

Step-by-step explanation:

First, take a look at the numbers.

GCF of 15 and -18 = 3

Then, look at the variables.

GCF of (x^2)(y^3) and (x^3)(y)(z) = (x^2)(y)

Lastly, combine the two expressions

GCF = 3(x^2)(y)

Answer: 3(x^2)(y)

Hope this helps!

Round 4/15 to the nearest thousandth

Answers

Answer:

0.267

Step-by-step explanation:

4/15 as a decimal is 0.26 repeating so rounded to the nearest thousandth would be 0.267

What is the value of x in the figure?
X
40⁰
OA. 40°
OB. 70°
OC. 80°
OD. 120°
OE. 150°
70⁰

Answers

Answer:

E 150

Step-by-step explanation:

The coordinates of the mid - point of the line AB is (-1, -5).

What is mid - point?

A midpoint is a point that divides a given line into two equal parts.

Given is that AB has endpoints at A(4, -8) and B(-6, -2). It is asked to find the coordinates of the midpoint of AB.

We can write the coordinates of the midpoint of AB as -

{x} = (x₁ + x₂)/2

{x} = (4 - 6)/2

{x} = - 2/2

{x} = -1

{y} = (y₁ + y₂)/2

{y} = (-8 - 2)/2

{y} = - 10/2

{y} = - 5

Therefore, the coordinates of the mid - point of the line AB is (-1, -5).

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Not sure how to do this

Answers

it should be this answer i got it off the internet it should be right

Answer:

[tex]\underline{\boxed{\sf{2(x - 11)(x + 11)}}}[/tex]

Step-by-step explanation:

[tex]\sf{2x^2 - 242}[/tex]

Common factor :

[tex]\sf{2x^2 - 242}[/tex]

[tex]\sf{2(x^2 - 121)}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Use the sum-product pattern :

[tex]\sf{2(x^2-121)}[/tex]

[tex]\sf{2(x^2 + 11x-11x - 121)}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Common factor from the two pairs :

[tex]\sf{2(x^2 + 11x-11x - 121)}[/tex]

[tex]\sf{2(x(x+11) -11(x + 11))}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Rewrite in factored form :

[tex]\sf{2(x(x+11)- 11(x + 11))}[/tex]

[tex]\sf{2(x - 11)(x + 11)}[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Solution :

[tex]\sf{2(x - 11)(x + 11)}[/tex]

If A = (-2, -4) and B = (-8, 4), what is the length of AB?

A.) 14 units
B.) 10 units
C.) 16 units
D.) 12 units

Please helpppp!

Answers

Answer:

10

Step-by-step explanation:

Using the distance formula,

[tex] \sqrt{ {( - 2 - ( - 8))}^{2} + { (- 4 - 4)}^{2} } = 10[/tex]

kelly has read 5/6 of a book helen has read 9/12 of the same book who read more of the book?

Answers

Answer:

Kelly has read more of the book

what does it want me to put to 6 decimal places

Answers

They want you to solve the iterative process to a point where the value of x is greater than or equal to 6 decimal places.

What is an iterative process?

An iterative process is a mathematical approach that employs an initial value to build a series of improving estimated solutions for a problem, where the nth-term estimation is generated from the prior ones.

You're required to put the value of x₁ = -1 into the equation:

[tex]\mathbf{x_{n+1}= \dfrac{(x_n)^3-1}{4}}[/tex]

where, [tex]x_1 = -1[/tex]

So;

[tex]\mathbf{x_{2}= \dfrac{(-1)^3-1}{4}}[/tex]

[tex]\mathbf{x_{2}=-0.5}[/tex]

[tex]\mathbf{x_{3}= \dfrac{(-0.5)^3-1}{4}}[/tex]

[tex]\mathbf{x_{3}=-0.28125}[/tex]

[tex]\mathbf{x_{4}=\dfrac{(-0.28125)^3-1}{4}}[/tex]

[tex]\mathbf{x_{4}=-0.2555618286}[/tex]

x₄ ≅ -0.255562  ( to 6 decimal places)

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Solve system of equation using elimination by addition.

Will give brainliest!!

Answers

Answer:

[tex]x = 2, y = -1[/tex]

Step-by-step explanation:

We can add the 2 equations together to solve for y.

[tex](-3x + 5y) + (3x + 7y) = (-11) + (-1)\\-3x + 3x + 5y + 7y = -11 -1\\12y = -12\\y = -1[/tex]

Now we can solve for x by substituting y in one of the original equations.

[tex]3x + 7y = -1\\3x + 7(-1) = -1\\3x - 7 = -1\\3x = 6\\x = 2[/tex]

Those are the answers

- Kan Academy Advanced

Sara sells aloe vera plants and barrel cacti at the local street fair. Each aloe vera plant is $3 and each barrel cactus is $2.
On Monday she sold a total of 12 plants for $31. How many of each type of plant did Sara sell?
x:# aloe vera y : # barrel cacti

Answers

The answer is A and the total is 60

Find the volume.
Area = 16.4 cm²
8.1 cm
cm³

Answers

Answer:

132.84 is the answer as volume is area times length

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