answer the questions on the pdf

The coordinates are  A'(14, 3), B'(-6. 2) and C'(-8, 6)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

given rule:

(x,y) -> (2x,y-3)

Also, we have

A(7,6), B(-3,5), and C(-4,9)

so, after applying the rule we have the coordinates

A'(14, 3)

B'(-6. 2)

C'(-8, 6)

Hence, the coordinates are A'(14, 3), B'(-6. 2) and C'(-8, 6)

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Answer:

Can be C or D

Step-by-step explanation:

Janice and her 4 friends means there are 5 people in total.

She will divide them and so beads will be left which means no remainder.

so we have to look for a number divisible by 5

480 and 240 both are divisible by 5

The probability value indicates that there is statistical significance in 0.015 option (b) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

The p-values are:

As we know,

Statistical significance is commonly defined as a probability value of 0.05 or even less. P-value can be used in replacement of or in additional to preset levels of confidence when testing the claim.

Thus, the probability value indicates that there is statistical significance in 0.015 option (b) is correct.

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Answer:

Alright

Ignore the 20, We have 5(x-2)
Brackets mean Multiplication

So, Multiply 5 with x and multiply 5 with 2

=> 20 = 5x - 10

Transpose the 20 to the other side

the twenty being transposed to the other side becomes Minus because it is in plus

And bring 5x in front of the =

=> 5x = 20 - 10
=> 5x = 10

So now we have 5x but we need x so transpose the 5 to the other side

by transposing the five becomes division because its in positive so

=> x = 10 ÷ 5

=> x = 2

Kaboom, All done!

The correct option is d)10.01 kg​;       y + x = 10.01 kg.

When converting units, you are generally given one measure but instead asked to convert it to another.

For the given values in the question;

x = 10 g  and y = 10 kg

As, both the values are of mass.

For adding both values, the unit must be same.

So, convert the value of x in kg from g.

1 kg = 1000 g

Thus, 1 g = 1/1000 kg

10 g = 10/1000 kg

10 g = 0.01 kg

Now add both;

x + y = 0.01 + 10

x + y = 10.01 kg

Thus, the value of x + y is found as 10.01 kg.

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The correct question is-

a)10.1 kg

b)100.1 g

c)10.1 kg

d)10.01 kg​

Answer:

5th - 13

6th - 20

7th - 27

8th - 34

Step-by-step explanation:

You add seven

Answer:

No.

Step-by-step explanation:

The function would be a discrete function if the individual points in the function didn't share the same x-coordinates. Both the points (0,1) and (0,3) share the same x-coordinate, x=0, so the function doesn't pass the vertical line test.

7+(-1) = -3

Steps of adding 7+(-10) using number line are as following:

1) Draw a number line by ranging from -10 to +10.

2) Point out 7 on the number line.

3) Because -10 is added to 7 on the number line, please move 10 numbers left to 7 on the number line. We always go left in addition of a negative number on the number line.

4) The number we reach -3 on left side would be our final sum.

5) From the number we can clearly see that moving 10 number on left to 7, we get -3.

Note: We are moving left because of negative sign in front of 10.

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Answer:

4a.        [tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]

4b.        [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]

Step-by-step explanation:

The expression for problem (4a) is

[tex]\frac{x-1}{4x-2}-\frac{5-2x}{3-6x}[/tex]

Least Common Multiplier of the denominators. The easiest way to do this is to simply multiply the denominators together.

LCM of [tex]4x-2,\:and\;3-6x[/tex]

But first, let's simplify the two expressions by factoring

[tex]4x-2 = 2(2x-1)[/tex] and

[tex]3-6x = -3(1-2x) = 3(2x - 1)[/tex]

[tex]2(2x-1) -3(2x-1)[/tex]

Multiply the coefficients 2 and -3 to get -6 and find an expression that appears in both.

This gives LCM as [tex]6(2x-1)[/tex]

[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\:6\left(2x-1\right)[/tex]

For [tex]\:\frac{x-1}{4x-2}[/tex] [tex]\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:3[/tex] since [tex]3(2x-1) = 6x -1[/tex]

[tex]\frac{x-1}{4x-2}=\frac{\left(x-1\right)\cdot \:3}{\left(4x-2\right)\cdot \:3}=\frac{\left(x-1\right)\cdot \:3}{6\left(2x-1\right)}[/tex]

[tex]\mathrm{For}\:\frac{5-2x}{3-6x}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:-2[/tex] since

[tex]-2(3-6x) = (-6 +12x) = -6(-1+12x) = -6 + 12x = 6(2x-1) = 12x - 6 = 6(2x-1)[/tex]  

We get

[tex]\frac{5-2x}{3-6x}=\frac{\left(5-2x\right)\left(-2\right)}{\left(3-6x\right)\left(-2\right)}=\frac{-2\left(5-2x\right)}{6\left(2x-1\right)}[/tex]

Since the denominators are the same, we can apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

[tex]=\frac{\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)}{6\left(2x-1\right)}[/tex]

Numerator [tex]\left(x-1\right)\cdot \:3-\left(-2\left(5-2x\right)\right)=\left(x-1\right)\cdot \:3+2\left(5-2x\right)[/tex]  becomes

[tex]3\left(x-1\right)+2\left(5-2x\right)[/tex] = [tex]3x - 3 + 10x - 4x = -x + 7[/tex]

Therefore the expression result is

[tex]\bold{\frac{-x+7}{6\left(2x-1\right)}}[/tex]

Part (b)

Note that [tex]9x^2-1 = (3x+1)(3x-1) \textrm{using the property} (a+b)(a-b) = a^2-b^2[/tex]

So the LCM is [tex]=\left(3x+1\right)\left(3x-1\right)[/tex] = [tex](3x+1)(3x-1)[/tex]

[tex]\mathrm{Multiply\:each\:numerator\:by\:the\:same\:amount\:needed\:to\:multiply\:its}[/tex] [tex]\mathrm{corresponding\:denominator\:to\:turn\:it\:into\:the\:LCM}\; (3x+1)(3x-1)[/tex]

Multiply the second term in the expression by [tex]3x+1[/tex] and subtract from the first term

==>  [tex]\frac{2x+3}{(3x+1)(3x-1)} - \frac{7(3x+1)}{(3x-1)(3x+1}[/tex]

==> [tex]\frac{2x+3}{9x^2-1} - \frac{7(3x+1)}{9x^2-1}[/tex]

==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]

==> [tex]\frac{2x+3-7\left(3x+1\right)}{\left(3x+1\right)\left(3x-1\right)}[/tex]

==> [tex]\frac{2x+3-21x-7}{\left(3x+1\right)\left(3x-1\right)} \\[/tex]

==> [tex]\frac{-19x-4}{\left(3x+1\right)\left(3x-1\right)}[/tex]

Answer:

Using the horizontal line test, the one to one functions are those which do not intersect with the line more than one time

In the given graphs, the fourth graph represents the one - one fucntion.

Use the concept of graph of fucntion defined as:

Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

The graph of a one-to-one function is a representation that shows each input value (x) uniquely paired with a corresponding output value (y), with no repetition or overlap in the mapping.
It passes both the vertical line test and horizontal line test, ensuring each input has a distinct output and vice versa.

In the fourth graph:

Apply the vertical line test and we get,

Each input has a distinct output.

Hence,

The fourth graph represents the one-one fucntion.

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The value of the expression |x-1| if x>1 without using absolute value notation is x-1.

The Absolute value of any number may be defined as the distance of the given number on a number line from the point of origin. The absolute value of any number x is given by |x|. The absolute value of any number will always give a positive value regardless of the sign of the number.

For example, the absolute value of |-2| is given by 2 and the absolute value of |2| is also given by 2. Here, in the question it is given that x>1.

=> x>1

=> x-1>0

Thus, if x-1>0 then the absolute value of the expression |x-1| is given by x-1 as x-1>0.

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The two numbers are found as 9 and 16.

For the given questions;

Let the first number be 'a'.

Let the second number be 'b'.

Then, first number is seven less than a second number.

a = b - 7

Now, 5 times the first is 13 more than twice the second.

5a = 2b + 13

Put the value of a in above equation;

5(b - 7) = 2b + 13

Simplifying;

5b - 35 = 2b + 13

3b = 48

b = 16 (second number)

a = b - 7

a = 16 - 7

a = 9 (first number)

Therefore, the two number are found as 9 and 16.

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Answer:

65

Step-by-step explanation:

- 2 digits ✅

- Has 13 as a factor ✅

- Sum of digits is 11 ✅

If the total cost before tax was $11.5, then the cost of each bottle of juice j= $1.6 which can be found by the equation 5j + $3.50 = $11.50.

The cost of each bottle can be determined by using an algebraic expression.

An algebraic expression can be defined as the use of both numerals and letters in a mathematical equation.

To find the cost of each bottle, an algebraic expression can be given as,

Cost of a 5-pack of juice bottles + Cost of popcorn = Total cost before tax

5j + $3.50 = $11.50

Solving for j,

5j = 11.50 - 3.50

5j = 8

j = 8/5

j = $1.6

Hence, the cost of each bottle from a 5-pack of juice bottles is calculated to be $1.6

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Answer:

9

Step-by-step explanation:

6 / 2(1+2)

6 / 2 (3)

6 / 2 * 3

3 * 3

9

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The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

Firstly, refer to the image attached for the complete question.

Now,

Given: The value of the digit in the hundreds place in 653,841 is: 800

Now, the following cases arise for the given options:

Value of digit in the thousands place = 8000

=> 1/10 the value of the digit =  [tex]\frac{1}{10}(8000) = 800[/tex]

Value of digit in the thousands place = 9000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(9000) = 900[/tex]

Value of digit in the thousands place = 4000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(4000) = 400[/tex]

Value of digit in the thousands place = 7000

=> 1/10 the value of the digit = [tex]\frac{1}{10}(7000) = 700[/tex]

Out of all the options, as shown above, only Option A satisfies the given condition.

Hence, the correct Option is A, i.e., The number that contains digits where the hundreds digit is 1/10 the value of the thousand's digit is: 748917.

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  ΔRc = - 1.806  are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064.

What are examples of resistance?

GF  = ΔR/R /E

a)  Tensile strain E = 0.064

  so    ΔR   =  R . E  . G.F

                  = 100 × 0.064 × 2.10

       ΔRt = 13.44

b)  Compressive strain E = - 0. 0086

     ΔR =  R . E . G.F.

          = 100 ×  - 0.0086 × 2.10

     ΔRc = - 1.806

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answer: I think the result is 12

Step-by-step explanation:

c(b+a)-a=

2(3+6)-6=

6+12-6= 12

What you have to do first is you have 5 owners correct? well you take anything they are sharing in the case it is delay/debt. so you divide $110 by 5 and you should get the amount $22. This means that each owner has to pay $22 to the delay.

The minimum and maximum distance from the earth to the sun are 91.4 and 94.5 million miles respectively.

Absolute values are the value of any digit without considering the sign.

So all negative values will be considered positive for absolute value.

For example, the absolute value of -2 will be 2 and the absolute value of -7 will be 7.

Given that,

The average distance from the earth to the sun is 92.95 million miles.

Actual is varies by 1.55 million miles.

Minimum value  = | 92.95 - 1.55 | = 91.4 million mile

Maximum value =  | 92.95 +1.55 | = 94.5 million mile

Hence "The minimum and maximum distance from the earth to the sun are 91.4 and 94.5 million miles respectively".

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The value of A(215) and its interpretation are captured thus:

A(215) = 5515; If the accountant takes 215 hours to prepare the taxes, the cost will be $5,515

What does the function represents?

The function given as A(x) = 140 + 25x, represents the total cost of using the services of the accountants for tax computation and preparation, bearing in mind that the 140 means $140 which is the fixed charged irrespective of the number of hours it takes to prepare the tax returns whereas the 25x means that $25 is charged as variable fee for  every hour the accountant works on the tax computation

A(x) = 140 + 25x

In this case, A(215) means that 215 hours were made use of by the accountants, hence, to determine the total fees, we simply substitute for x

A(215) = 140+(25*215)

A(215) = 140+5375

A(215)=$5,515

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The annual interest rate is 6.69%  for 3 years at compound interest.

What does the term "compound interest" mean?

[tex]A = P.( 1 + \frac{r}{n} )^{n.t}[/tex]

p = 5600

t = 3

I = 1200

n = 1

The interest  earned I is

I = [tex]P. ( 1 + \frac{r}{n} )^{n.t} - P[/tex]

1200 = [tex]5600 . ( 1 + \frac{r}{1} )^{1.3} - 5600[/tex]

[tex]1200 = 5600 .( 1 + r )^{3} - 5600[/tex]

[tex]\frac{1200}{5600} = ( 1 + r)^{3} - 1[/tex]

[tex]\frac{3}{14} = ( 1 + r )^{3} - 1\\[/tex]

[tex]\frac{17}{14} = ( 1 + r)^{3}[/tex]

Take the log base 10 of both sides

log17 - log14 = 3.log( 1 + r)

1.23045 - 1.14613 = 3.log( 1 + r)

3.log( 1 + r) = 0.084322

log( 1 + r) = 0.028107

1 + r = [tex]10^{0.28107}[/tex]

1 + r = 1.06686

r = 0.06686

The annual interest rate is 6.69%.

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Answer: seven continents

Step-by-step explanation:

Asia, Africa, North America, South America, Antarctica, Europe, and Australia

Answer:

6

Step-by-step explanation:

10⁰=1

9⁰=1

7⁰=1

5⁰=1

3⁰=1

1¹⁰⁰=1

so,

10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰=1+1+1+1+1+1=6

Answer:

6

Step-by-step explanation:

We are working with exponents

Any number to the power of 0 is 1

a^0 = 1

1 to a power is 1

10⁰+9⁰+7⁰+5⁰+3⁰+1¹⁰⁰​

1 + 1 + 1 + 1 + 1 + 1

6

After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​, we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.

We are given an expression:

( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​

We need to perform division of the algebraic expression:

                                  5 x² - 7 x + 4

             3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17

                                   15 x⁴ + 5 x³ + 5 x²

                                   ______________________

                                             - 21 x³ + 5 x² + 8 x - 17

                                             - 21 x³ - 7 x² - 7 x

                                   ______________________

                                                       12 x²  + 15 x - 17

                                                       12 x²  + 4 x + 4

                                   ______________________

                                                                   11 x - 21

                                   ______________________

Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​, we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.

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