(a - 2b)3 when a = 3 and b = -1/2

If two names are given for the same quantity then we can use algebra

to solve the equation thus option (C) is correct.

There are many different ways to define an equation.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

If we have a problem in word formate.

And the same quantity is used two times with two different names.

Then by algebra, the variable defines the quantity remains the same but the value of the variable changes according to the given value.

By this the problem can be easily solved.

Hence "If two names are given for the same quantity then we can use algebra to solve the equation".

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The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.

Now when no letters are repeated:

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.

So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes

if letters can be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.

So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes

if adjacent letters cannot be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.

So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes

Hence the total number of codes as calculated by permutation and combination is 1280.

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When plate is rotated 720° about the origin in the counterclockwise direction they form parallel segments.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The coordinates of the figure EFGH are given as:

E = (-4,8)

F = (-7,5)

G = (-4,3)

H = (-2,5)

The rule of rotation 720 degrees counterclockwise about the origin in the

(x,y) -> (-y,x)

So, we have:

E' = (-8, -4)

F' = (-5, -7)

G'= (-3, -4)

H' = (-5, -2)

when plate is rotated 720° about the origin in the counterclockwise direction they form parallel segments.

Hence when plate is rotated 720° about the origin in the counterclockwise direction they form parallel segments.

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The fraction of the length of Sofia's bike is 3/2 times longer that Emely's.

What is mixed fraction?

 A mixed fraction is one that has both its quotient and remainder represented. A mixed fraction like 2 1/3 is one where the remainder is 1 and the quotient is 2. Therefore, a mixed fraction is made up of both a whole number and a correct fraction.

To find how many times the length of Emely's ride is compared to Sofia's, you would divide the two mixed numbers:

=>6  3/4  divided by 4  1/2

Convert the mixed  numbers to improper fractions:

=>27/4  divided by 9/2

To solve, multiply 27/4 by the reciprocal of 9/2:

=>27/4 * 2/9 = 3/2  or 1 and 1/2

So Sofia's ride is 1.5 times longer than Emely's.

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The associations that best describe the scatter plot is Option A and C

When below-average values also tend to occur together and above-average values of one variable tend to be accompanied by below-average values of the other, there is a positive association between the two variables. When the average values of two variables tend to be below average, two variables have a negative connection.

Note that a statistical term used to describe a straight-line relationship between two variables is a linear relationship (or linear association).

Additionally, a straight line connecting the spots indicates a linear association. As a result, the scatter plot indicates that as practice time increases,  giving off also rise.

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The association that describe the scatter plot is

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events (called variables).

The connection is positive if the variables tend to rise and fall together. When one variable tends to rise while the other falls, there is a negative connection.

The connection between the variables demonstrates a straight line in the positive direction. hence the option having linear and positive association is the correct choice

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Answer:

Step-by-step explanation:

4

Answer:4

Step-by-step explanation: I have 2 apples and my friend gives me 2 more  it'll give me 4. Also you put up 2 fingers and and you add 2 more that will also give me 4.  

Answer:

ez

Step-by-step-

ezzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answer:

34

Step-by-step explanation:

2+b(a^2+4)

2+4(2^2+4)

2+4(4+4)

2+4(8)

2+32

34

Hopes this helps please mark brainliest

Answer:

Add them together and you have your answer I think

The correct notation of A is a subset of B is A⊆B( option B)

A set is a collection of objects or elements.Subsets are a part of one of the mathematical concepts called Sets, grouped in the curly braces, such as {a,b,c,d}.

The elements of sets could be anything such as a group of real numbers, variables, constants, whole numbers, etc. It consists of a null set as well.

If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.

Therefore the correct notation of A is a subset of B is A⊆B.

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The total cost of the camera with sales tax included is $793.44

The listed  price of camera = $722.95

The sales tax rate = 9.75%

The amount of tax = The listed  price of camera × (The sales tax rate / 100)

Substitute the values in the equation

The amount tax = 722.95 × (9.75 / 100)

Divide the terms first

= 722.95 × 0.0975

Multiply the terms

= $70.49

The cost of the camera including tax = The listed  price of camera + The amount tax

Substitute the values in the equation

= 722.95 + 70.49

= $793.44

Hence, the total cost of the camera with sales tax included is $793.44

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The quadratic equation has no real roots. The roots are x = -1 +√5/2 i or x = -1 - √5/2 i

To determine the number of roots of a quadratic equation ax²+bx+c=0 you need to compute the discriminant (b²-4ac)

If the discrimant is less than 0, then the quadratic has no real roots.

If the discriminant is equal to zero then the quadratic has equal roosts.

If the discriminant is more than zero then it has 2 distinct roots.

Given: 2x² + 4x + 7

a = 2, b = 4, c = 7

b² - 4ac = (4)² -4(2×7) = 16-56 = -40

Since the discriminant is less than 0, thus 2x² + 4x + 7 has no real roots i.e. it has two imaginary roots

To find the roots, you can use the completing the square method:

2x² + 4x + 7 = 0

Divide through by 2:

x² + 2x + 7/2 = 0

x² + 2x = -7/2

Add the the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (1)² = -7/2 + (1)²

Factorise:

(x+1)² = -7/2 +1

(x+1)² = -5/2

x+1 = ± √-5/2

x = -1 ±√5/2 i                   (Note: √-1 = i)

x = -1 +√5/2 i or x = -1 - √5/2 i

Therefore, the roots are x = -1 +√5/2 i or x = -1 - √5/2 i

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Answer:

No you can't

Step-by-step explanation:

Because it doesn't fit the number catigorey

1. The bank discount on the note of $6,000, maturable in 160 days at 3.5%, is $93.33.

2. The original noteholder will receive total proceeds of $5,906.67 after the bank discount.

Bank discount is the difference between the below-par and par (face) values.

For example, if the bank discounts a note, the noteholder will receive an amount smaller than the face value they would have received if they had held the note till its maturity.

The discount represents the finance charge levied for cashing the note earlier than its due date.

Amount due at maturity = $6,000

Discount rate = 3.5%

Time (period) = 160 days

Days in the year for ordinary interest = 360 days

Bank discount = $93.33 ($6,000 x 3.5% x 160/360)

The proceeds = $5,906.67 ($6,000 - $93.33)

Thus, the bank discount is the difference between the face value and the net proceeds (discounted value) resulting from discounting a note before its maturity.

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The area of triangle is 25.

and, The perimeter of triangle is 5.

Given,

In the question:

A triangle is dilated by a scale factor of 5.

To find the how will this affect the perimeter and the area of the new image?

Now, According to the question:

The perimeter of triangle is X + Y + Z, where X, Y, and Z are the sides.

So if we shrink all the sides by 5, we change the perimeter by 5.

However, because the area of the triangle involves 0.5 × Base × Height,

if we shrink all of the sides by 5, the area is shrunk by 5 * 5 (once for base, once for height).

Hence, The area of triangle is 25.

and, The perimeter of triangle is 5.

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Answer:

Step-by-step explanation:

Make the subject of 6x = t

Rate of change for Carol's = 4.99

Rate of change for Wilma's:

line passes through (0, 0) and (2, 15)

slope = m = (15 - 0) / (2 - 0) = 7.5

Rate of change for Wilma's = 7.5

7.5 > 4.99

So Wilma's has the greatest rate of change.

Three groups of cubes are shown with 4 groups of tens and 3 ones in each group is incorrect and 0.46is correct for 1.38 ÷ 3

A division is a process of splitting a specific amount into equal parts.

Rohan's model is represented as:

1.38 ÷ 3=0.43

The model is incorrect, and the correction is as follows:

Express 1.38 as 1.20 + 0.18

Now (1.20 + 0.18)÷ 3

(1.20÷ 3)+(0.18÷ 3)

0.4+0.06

0.46

Hence, the correct result of the model is 0.46

Hence Three groups of cubes are shown with 4 groups of tens and 3 ones in each group is incorrect and 0.46 is correct

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Answer:

3.73 (m)

Step-by-step explanation:

b = 8 * tan (25)

b = 8 * 0.466308

b = 3.730461

Solution of the given system of equations using Cramer's rule is given by : x = -96 / 190 , y = -17/19 .

As given in the question,

Given system of equations are as follow:

-10x -10y = 14

-10x + 9y = -3

Solution of the given system of equations using Cramer's rule is given by :

D = [tex]\left|\begin{array}{ccc}-10&-10\\-10&9\\\end{array}\right|[/tex]

   = -90 -100

   = -190

Dₓ = [tex]\left|\begin{array}{ccc}14&-10\\-3&9\\\end{array}\right|[/tex]

    = 126 - 30

    = 96

[tex]D_{y}[/tex] = [tex]\left|\begin{array}{ccc}-10&14\\-10&-3\\\end{array}\right|[/tex]

     = 30 +140

     = 170

x = Dₓ/D

 = 96/ -190

 = -96/190

y = [tex]D_{y}[/tex]/ D

  = 170/-190

  = -17/19

Therefore, solution of the given system of equations using Cramer's rule is given by : x = -96 / 190 , y = -17/19 .

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Points C , G , and H are not Collinear.

Collinear Point:

                         Two or more points are said to be collinear, if they lie on the same straight line,whether they are close together, far apart, or form a ray, line segment, or line.

                                      In other words we can say Collinear points are the set of three or more than three points that lie on a single straight line.

Now,

       From given figure we can see all the three points C , G , and H are not lying on a single straight line or line segment. In fact GH and CG are different sides.

               So, points C , G , and H are not Collinear points.

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The value of the expression 3(r+5) when r = 10 is 100

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

In this problem, we are to substitute the value of r which is 10 int the expression.

3(r + 5) + 55 = 3(10 + 5) + 55 = 3(15) + 55 = 45 + 55 = 100

The expression is equal to 100.

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Answer:

Step-by-step explanation:

Since it is an isosceles triangle the opposite side of that with 35mm is equal to 35mm.

Area of triangle =. ½b x h

. =. ½ x 35 x 35

. = 612.5mm²

. =. 613mm²(1.d.p)

Answer:

Acquisition cost refers to an amount paid for fixed assets, for expenses related to the acquisition of a new customer, or for the takeover of a competitor.

Answer:

[tex]x=\frac{37}{6} \\[/tex]

Step-by-step explanation:

Since A and b are complimentary angles There sum is equal to 90°

In other words:

We know A = (7x+18)  and b = (5x-12)

Next, insert these values into the equation (A+ b = 90°):

[tex](7x+18) + (5x-12)=90[/tex]

Drop the () since we are not multiplying anything

[tex]7x+18 + 5x-12=90[/tex]

Combine like terms: 7x and 5x, 18 and-12

[tex]7x +5x +18-12=90\\\\12x+ 16=90\\[/tex]

Subtract 16 from both sides of the equation

[tex]12x=74\\[/tex]

Divide by 12 and get:

[tex]x=\frac{37}{6} \\[/tex] or [tex]x=6.16666...[/tex]

Hope this helps :)

Answer:

The answer is -3n,10.1,11/10,19/2,-101 is the right answer form my side

The size 50 will produce the widest 95% confidence interval when estimating the population parameter.

It is defined as the sampling distribution following an approximately normal distribution for a known standard deviation.

It is given that, a sample with the sample proportion of 0.4 and which of the following sizes will produce the widest 95% confidence interval.

The margin of error provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where,

Z is the z-score at the confidence interval

s is the standard deviation

n is the number of samples.

An interval is broader the bigger the margin of error.

The margin of error reduces with increasing sample size. The smallest confidence interval should be chosen if we want the widest possible interval.

Thus, the size 50 will produce the widest 95% confidence interval when estimating the population parameter.

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Answer:

B. 35

Step-by-step explanation:

I got it correct :D

Answer:

5/48

Step-by-step explanation:

[tex]\frac{5/8}{6}=\frac{5}{8(6)}=\frac{5}{48}[/tex]

Answer:

5/48 or 0.104

Step-by-step explanation:

⅝ ÷ 6

changer division sign to multiplication sign

⅝ × ⅙ = 5/48 or 0.104

Answer:mum

Step-by-step explanation: mom

The length, in centimeters of the rectangle if the width is:

1. 10 centimeters

2. 3.6 centimeters

The perimeter of a rectangle is given by the formula

P = 2( Length, L + width, w)

P/2 = L + w

L = P/2 - w

Perimeter is given to be 48, L is solved below

at w = 10 centimeters

L = 48/2 - 10 = 14 cm

at w = 3.6 centimeters

L = 48/2 - 3.6 = 20.4 cm

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Polynomial identities apply beyond just polynomials by replacing the variables with numbers to create a numerical expression.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

A polynomial identity is an equation that helps us to easily solve expressions involving larger exponents and numbers. Generally, polynomial identities are used for the expansion of the expression, by breaking down the expression into simpler units.

Polynomial identities apply beyond just polynomials by replacing the variables with numbers to create a numerical expression.

Hence, Polynomial identities apply beyond just polynomials by replacing the variables with numbers to create a numerical expression.

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