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What is your answer?

The width of the rectangle with area 70y⁸+ 30y⁶ is; 10y⁶.

Then the length of the rectangle with area 70y⁸+ 30y⁶ is; (7y² + 3).

The area of a rectangle is given by;

Area = Length× width

Given that;

The area of the rectangle = 70y⁸ + 30y⁶

Now, 70y⁸ can be broken down to; 7×5×2×y×y×y×y×y×y×y×y

And 30y⁶ can be broken down to; 5×3×2×y×y×y×y×y×y

The common factors of 70y⁸ and 30y⁶ are = 5,2,y,y,y,y,y,y

Thus, the greatest common factor of 70y⁸ and 30y⁶ is;

5×2×y×y×y×y×y×y = 10y⁶

Therefore our area 70y⁸+ 30y⁶ can be factorized to get;

A = 10y⁶(7y² + 3)

The greatest common monomial of 70y⁸+ 30y⁶ is 10y⁶ which is the width of the rectangle.

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Answer:

see explanation

Step-by-step explanation:

given that V is directly proportional to h³ , then the equation relating them is

V = kh³ ← k is the constant of proportion

to find k use the condition V = 48 when h = 4 , then

48 = k × 4³ = 64k ( divide both sides by 64 )

[tex]\frac{48}{64}[/tex] = k , then k = 0.75

V = 0.75h³ ← equation of proportion

1

when h = 3 , then

V = 0.75 × 3³ = 0.75 × 27 = 20.25 cm³

2

when h = 6 , then

V = 0.75 × 6³ = 0.75 × 216 = 162 cm³

then

162 ÷ 20.25 = 8

the volume will be 8 times bigger

Answer:0.096

here this is your answer

Answer:

a. 3

b. -3/2

c. 4/3

d. -5/3

e. 0

f. undefined

Step-by-step explanation:

Delilah is correct; it is

Here, we want to check who was right

Mathematically, we can dilate a figure by reduction or enlargement by the use of a specific scale factor

When the scale factor is less than 1, it is a reduction

However, if the scale factor is greater than 1, it is an enlargement

The original point is (x,y)

From the image coordinates given, we see that the scale factor is 6/5 which is greater than 1

Thus, the dilation is an enlargement and Delilah was right

Step-by-step explanation:

All decimals which either terminate or have a repeating pattern after some point are also rational numbers. The number 0.2 is a rational number because it can be re-written as 1/5 . The number 0. 33333… is a rational number because it can be re-written as 1/3 .

Answer: - 4 /1 x -10

Step-by-step explanation:

the rise is -4

the run is -1

the y intesept is -10

Answer:

-85 is rational and an integer, though an integer is the most specific

Step-by-step explanation:

Whole numbers do not include negative numbers

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Explanation:

Draw a vertical number line as shown below.

Plot -5 on the number line which is 5 units below 0.

Then move up 3 units to arrive at -2

This shows us that -5+3 = -2

Answer:

sorry i don't know it to should have listened to your teacher

Step-by-step explanation:

Label the points,lines,and planes to show AB and line in perpendicular

to each other in plane R to point B, plane R

The point (1, 18), in the proportional relationship, means 18 cookies will require 1 cup of flour.

In a proportional relationship graph that models the relationship between two variables, x and y, a point on the graph means the value of x that will give a corresponding value of y. It is expressed as, (x, y).

(x, y) means the quantity of x that will give a corresponding quantity of y considering the proportional relationship between variables x and y.

Thus, the graph shows a proportional relationship between the number of cups of flour (y) that was used to make different numbers of cookies.

Thus, the point (1, 18) means that for 18 cookies to be made, 1 cup of flour is to be used.

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According to this, the answer is that the employee must sell $32,000 in one month to earn a total of $4,000 for the month.

From the information given, the equation would indicate that the total salary is equal to the base salary plus the result of subtracting $7,000 from the amount of sales for 8%:

2000+(x-7,000)*0.08=4,000, where x is the amount of sales

Now, you can solve for x:

2,000+0.08x-560=4,000

0.08x+1440=4,000

0.08x=4,000- 1440

x=2,560/0.08

x=32,000

According to this, the answer is that the employee must sell $32,000 in one month to earn a total of $4,000 for the month.

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The equation representing the pool draining in slope-intercept form is y = -12x + 38000 and the time for the pool to fully drain is 3167 minutes.

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

As we know,

The standard form of the straight line is:

y = mx + b

The slope in this case is m, and the y-intercept is b.

From the data given:

y = -12x + 38000

Plug y = 0 to find how long it will take for the pool to fully drain:

0 = -12x + 38000

x = 3167 minutes

To fill it back up, the y-intercept is 0.

The slope is given M = 16

y = 16x

Now plug y = 38000 to find how long it will take for the pool to fill back up

38000 = 16x

x = 2375 minutes

Thus, the equation representing the pool draining in slope-intercept form is y = -12x + 38000 and the time for the pool to fully drain is 3167 minutes.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= - {x}^{2} +12x - 27[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The values of x where a parabola cuts the x - axis (y = 0) are the roots of the quadratic equation.

I.e 3 and 9 for the given problem.

and the equation can be represented as :

[tex]\qquad\displaystyle \tt \rightarrow \: y = a(x - x1)(x- x2)[/tex]

where, x1 and x2 are the roots of the quadratic equation, a is a constant value (depicting strech in curve)

Now, plug in the values :

[tex]\qquad\displaystyle \tt \rightarrow \: y= a(x- 3)(x - 9)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = a( {x}^{2} -9x - 3x +27)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= a( {x}^{2} -12 +27)[/tex]

Now, we need to find the value of a, for that let's use the coordinates of a point lying on the curve (10 , -7)

[tex]\qquad\displaystyle \tt \rightarrow \: - 7= a( {10}^{2} -12(10) +27)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: - 7= a(100- 120+27)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: - 7= a( 7)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: a = ( - 7) \div ( 7)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: a = -1[/tex]

Now, we got all required values. let's plug the value of a in equation, and we will get the required equation of parabola.

[tex]\qquad\displaystyle \tt \rightarrow \: y= -( {x}^{2} -12x +27)[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y= - {x}^{2} +12x - 27[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]y=-x^2+12x-27[/tex]

Step-by-step explanation:

Intercept form of a quadratic equation

[tex]\boxed{y=a(x-p)(x-q)}[/tex]

where:

Given x-intercepts:

Substitute the given x-intercepts into the formula:

[tex]\implies y=a(x-3)(x-9)[/tex]

To find a, substitute the given point (10, -7) into the equation and solve for a:

[tex]\implies a(10-3)(10-9)=-7[/tex]

[tex]\implies a(7)(1)=-7[/tex]

[tex]\implies 7a=-7[/tex]

[tex]\implies a=-1[/tex]

Therefore, the equation of the function in factored form is:

[tex]\implies y=-(x-3)(x-9)[/tex]

Expand the brackets:

[tex]\implies y=-(x^2-9x-3x+27)[/tex]

[tex]\implies y=-(x^2-12x+27)[/tex]

[tex]\implies y=-x^2+12x-27[/tex]

Therefore, the equation of the function in standard form is:

[tex]\boxed{y=-x^2+12x-27}[/tex]

The halves of triangle CAD are congruent, because sides CB and BA are congruent, they share the center side, and both are right triangles. So, CD = AD, or:

5x + 1 = 4x + 4
5x + 1 - 1 = 4x + 4 - 1
5x = 4x + 3
5x - 4x = 4x + 3 - 4x
x = 3

AD = 4x + 4
= 4(3) + 4
= 12 + 4
= 16
AD = 16

[tex]\huge \boxed{\sf 16} \\\\\\\displaystyle \sf Both\ right\ triangles\ are\ a\ reflection\ of\ each\ other.\\ Thus,\ they\ are\ equal\ in\ size.\\\\5x+1=4x+4\\5x-4x=4-1\\x=3 \\\\Substituting\ x=3\\\\4(3)+4=12+4=16[/tex]

Answer:

The Point of symmetry is (5, 6) and not (-5, -6).

There is insufficient evidence to conclude that those with the high incomes are the ones that have the more credit scores.

We have the bar x = 705.9

The value of n = 34

mean = 724 . 1

standard deviation = 83.4

the level of significance = 5 percent level

The Hypothesis formulation

The null hypothesis H0 = u 705.9

alternative hypothesis = H1 u > 705.9

The t test is given as x - u / s /√n

= (724.1 - 705.9) / (83.4 / √34)

= 1.2725

The degree of freedom = 34 - 1 = 33

The test that we have here is a right tailed test

The p value for the test is given as probability of p (t33 > t)

= 0.1064

From the solution that we have here, we can see that the p value that has been calculated is greater than the level of significance.

Given that this is the case, the decision rule would be for us not to reject the null hypothesis.

There is insufficient evidence to the claim that the high income persons have the greater credit scores.

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The area of the rectangle is increasing at a rate of 122cm²/s if the length of the rectangle is 11 cm and the width is 9 cm.

The area of a rectangle can be described as the product of the length and width of that rectangle, therefore;

Area = L × W

Here L represents length and W represents the width

Now by differentiating using the product rule;

dA/dt = (dL/dt)(W) + (dW/dt)(L)

As the length is 11 cm and the width is 9 cm and the length is increasing at a rate of 5 cm/s and its width is increasing at a rate of 7 cm/s; substituting these values in the equation;

dA/dt = (5)(9) + (7)(11)

dA/dt = 45 + 77

dA/dt = 122

Hence,  the area of the rectangle is increasing at the rate of 122cm²/s.

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Answer:numbers that are equal to 4/8 would be 2/4 and 1/2 and are you multiplying up?

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

Above 5- round up

below 5- round down

The slope of the line shown in the figure having equation x + 2y = 0 is 1/2.

The point A is at ( -2 , 1 ), point B is at ( -4 , 2 ) and Point C is at ( -2 , 2 ).

Let point D be at ( -4 , 1 ).

Now the new triangle is ΔBDA and the corner points are A is at ( -2 , 1 ), point B is at ( -4 , 2 ) and  point D is at ( -4 , 1 ).

The equation of line passing through two points  is given by:

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

The equation of line passing through two points A( -2 , 1 ) and B( -4 , 2 ) IS

y - 1 = ((2-1)/(-4-(-2)))  (x-(-2))

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

2y -2 = -x -2

x + 2y = 0

The equation of straight line is x + 2y = 0

The equation in slope intercept form can be written as,

y = x/2 + 0

Slope = m = 1/2

Intercept = c = 0

So, we can conclude that 1/2 is the slope of the line .

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According to a societal viewpoint, sickness and treatment characteristics that the general public values highly should be taken into account within value frameworks.

The study's goal was to better understand how the general public values characteristics other than health benefits and costs associated with the healthcare system, as well as how they value characteristics that are often associated with rare genetic disorders like Duchenne muscular dystrophy (DMD). The general population placed a high value on attributes including disease severity, impact on life expectancy and HRQoL, and treatment accessibility. These results add to the mounting data that emphasizes the usefulness of broadening value assessments to incorporate characteristics seen as significant from a societal standpoint.

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Answer: -3w + 4

Step-by-step explanation:

2(w+2) - 5w

2w + 4 - 5w

-3w + 4

     Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.

Examples of algebra. Discover the vertex of absolute value. The vertex in this instance for y=|x5|+4 y = | x - 5 | + 4 is (5,4). Set the interior of the absolute value x5 x - 5 equal to 0 0 to determine the vertex's x x coordinate.

Examples of Algebra The degree of variable y in this instance is 1, which means that the degrees of the variables in the equation violate the definition of a linear equation, indicating that the equation is not a linear equation.

Pick a few x values and look for some ordered pairings to graph an absolute value function. Connect the points by plotting them on a coordinate plane. The graph has a V form, as you can see. (1) The graph's vertex is (0,0).

Obtain the equation y = ax2 + bx + c.

Determine -b / 2A. The vertex's x-coordinate is given here.

Simply enter the value of -b / 2a into the equation for x and solve for y to obtain the vertex's y-coordinate. The vertex's y-coordinate is given here.

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To make a mixed number from an improper fraction, divide the numerator by the denominator then there exists eight twelfths in two-thirds.

Multiply the full number by the denominator to convert a mixed number to an improper fraction. Include it in the numerator. Add that total to the denominator from the beginning.

To make a mixed number from an improper fraction, divide the numerator by the denominator. After division, the mixed number is produced in such a way that the obtained quotient becomes the entire number, the remainder becomes the new numerator, and the denominator remains constant.

Let the value be [tex]$3 \frac{2}{3}$[/tex].

Convert mixed numbers to improper fraction:

[tex]$a \frac{b}{c}=\frac{a \cdot c+b}{c}$[/tex]

substitute the values in the above equation, we get

[tex]$&3 \frac{2}{3}=\frac{3 \cdot 3+2}{3}=\frac{11}{3} \\[/tex]

Therefore, there exists eight twelfths in two-thirds.

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Answer: you mom loves your neighbor

Step-by-step explanation: because the do things together

Answer:

Please see below for answers and explanation and attachments

Step-by-step explanation:

These models are best figured out using regression analysis which is a rather complicated computation but luckily there are calculators that can solve

1. The best way to approach this problem is to plot the values and see whether the model is a linear equation or a higher degree equation.

For all three cases it appears that the equations are not linear which would have suggested a model of the form y = mx + b where y = profit in $, x = hours, m is the slope (rate of increase in profit) and b a constant, the y-intercept

For example if you look at the data for the dog walker table, the increase in $ for every additional hour of service is not constant eliminating a linear model. For the first hour, the increase is $7, the second hour it is $11, the third it is $27

So i assumed a quadratic model of the form y = ax² + bx + c where y = profit in $ and x is the number of hours of service for all three businesses

There are plenty of online calculators out there which can rapidly compute the quadratic regression model parameters fitting the data and provide a level of goodness of fit of the equation through a statistic known as the correlation coefficient, r

I entered the data for all 3 rows and came up with the following results
In all the equations, y represents the profit in $ and x the hours

I have also attached screenshots of the computation results which should be self explanatory

Dog Walker

Equation:
y = 1.05357x² + 8.3964x - 6.7

Correlation Coefficient r:
0.9913546  (pretty high goodness of fit)

House Sitter
Equation:
[tex]y = 1.482x^2 + 1.396x + 9.3[/tex]

Correlation Coefficient r:
0.99556069

Lawn Care
Equation:
y = -5.875x² + 30.582143x + 116.9

Coefficient of Correlation r:
0.9794537681  

The attached screenshots will provide all necessary info.

I hope that helps ya out :)