[tex]12x ^{2} + 4x + 20[/tex]
I'm really struggling with finding the greatest common factor.

could someone please explain in simple terms?

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The value of  x that gives the box the greatest volume is approximately 2.08

The equation of the volume of the box is given as:

V(x) = x(12 - 2x)(13 - 2x)

Expand

V(x) = (12x - 2x^2)(13 - 2x)

V(x) = 156x - 24x^2 - 26x^2 + 4x^3

V(x) = 156x - 50x^2 + 4x^3

Differentiate the function

V'(x) = 156 - 100x + 12x^2

Set to 0

156 - 100x + 12x^2 = 0

Rewrite as:

12x^2 - 100x + 156 =0

Divide through by 4

3x^2 - 25x + 39 =0

Using a graphing calculator, the values of x are:

x = 2.08 and x = 6.26

Substitute these values of x in V(x)

V(2.08) = 2.08 * (12 - 2 * 2.08)(13 - 2 * 2.08) = 144.16

V(6.26) = 6.26 * (12 - 2 * 6.26)(13 - 2 * 6.26) = -1.56

The volume cannot be negative.

So, we have:

V(2.08) =  144.16

Hence, the value of  x that gives the box the greatest volume is approximately 2.08

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Add 12 and 5 to get 17.

Multiply 32 and 10 to get 320.

Add 17 and 320 to get 337.

Subtract 5 from 337 to get 332.

332 ===> Answer

Add 12 and 5 to get 17

Subtract 5 from 10 to get 5.

Multiply 32 and 5 to get 160.

Add 17 and 160 to get 177.

177 ===> Answer

Answer:

[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]

Step-by-step explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

Then,

[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

0.5 inches per a month

Step-by-step explanation:

you turn them to a decimal to make them easier and then divide them to get the answer.

Answer:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help

Step-by-step explanation:

Answer:

∝ <  y < 2

Step-by-step explanation:

The range is negative infinity to 2.

Answer:

$4,680

Step-by-step explanation:

Rate : 10 dollars a week

You will have saved up $4,680 in 9 years.

Answer:

f(x) = x¹² + 4

Step-by-step explanation:

Degree 12:

This means that one of the terms needs to be raised to the power of 12. The term should be a variable. Therefore, a term you can use is x¹².

2 Terms:

This means there should be 2 separate entities in the expression. These terms are non-combinable unless you input an "x" value. The 2 terms you could use for this expression are x¹² and a constant.

Constant:

Constants are numbers that are not beside any variables. In other words, they are not being multiplied to the "x" value. The constant you could use is (4).

Putting all of these together, one of the many expressions that could satisfy the prompt is f(x) = x¹² + 4.

The  increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from  y = ± x.

This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.

The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.

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When  you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.

The term quotient refers to the number that is obtained when you divide a number by another.

When  you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.

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Answer:

Hence, slope of y=7x−2 is 7 and y -intercept is −2.

Step-by-step explanation:

The equation of any straight line can be written as y=mx+c, where m is its slope and c is its y-intercept.

Comparing the equation y=7x−2 with the standard form of the equation, we get:

m=7,c=−2

Hence, slope of y=7x−2 is 7  and y -intercept is −2

Hope this helps :)

Answer:

[tex]3w^2\sqrt[4]{2w^3}[/tex]

Step-by-step explanation:

hope this helps!:)

The radical expression written as an exponent, and simplified, is given by:

[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].

It happens according to the following rule:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

The inverse is also valid, hence, in this problem, the expression written as an exponent and simplified is given by:

[tex]\sqrt{121} = (121)^{\frac{1}{2}} = 11[/tex].

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Answer:

x = 60

Step-by-step explanation:

the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

The sum of the arcs in a circle = 360° , then

intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°

then

x = [tex]\frac{1}{2}[/tex] (95 + 25 ) = [tex]\frac{1}{2}[/tex] × 120 = 60

Is the relationship between the step number and number of squares a quadratic function.

Step 1 = 2 squares

Step 2 = 6 squares

Step 3 = 12 squares

2, 6, 12

 4   6

    2

ax² + bx + c

2a = 2 ⇒ a = 1

3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1

a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0

Equation: x² + x

Hence, Yes it is a quadratic function.

Answer:

It is quadratic with nth term = n^2 + n.

Step-by-step explanation:

Number of squares in each term = 2, 6 and 12

Differences between these  are   4 and 6

6 - 4 = 2

This is an indication of a quadratic function  with n^2 the first term.

Value of n^2 for first 3 terms

=                    1     4     9    and the terms are:

                     2     6    12

Differences   1     2       3    

This last term  = n

So the quadratic function for this sequence is

n^2 + n.

The unfilled volume inside the cylinder is determined as 640π cubic units.

The volume of the cylinder is determined as follows;

V = πr²h

where;

V = π(8²)(15)

V = 960 π cubic units

V = ¹/₃πr²h

where;

V = ¹/₃π(8)²(15)

V = 320 π cubic units

ΔV = 960 π - 320 π = 640 π cubic units

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Answer:

It’s C

Step-by-step explanation:

i got a 100% on my quiz so trust me

ur wlcm :)

Answer:

Review your state Standards.

Notes

Khan on your topic or grade level

Dealta Math

Math Nation

Answer:

14

Step-by-step explanation:

If Bob has 22 pints, and one glass is one pint, the 22-8 = 14

Answer:

14

Step-by-step explanation:

you would subtract 8 pints of soda left from the total pints which is 22 to get 14 pints used during the party

22-8=14

The conclusion drawn from the study is valid because the sample is homogenous. In this instance, an experimental study was performed.

An experimental study can be defined as a quantitative research method that is used by a researcher to determine and show the effects of changes in the dependent variable, while placing other relevant independent variables under control.

Based on the experimental study conducted by using water from a variety of sources, the conclusion which can be drawn from this study is valid because the sample is homogenous.

In this instance, we can infer and logically deduce that an experimental study was performed.

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Answer:

probably the furthest graph to the left.

Step-by-step explanation:

seems like a 25% 10% split.

Answer:

rational real whole

Step-by-step explanation:

Answer:

-3. -5

-2. -4

-1. -3

0. -2

1. -1

formula is f(x)=x-2

Anyea

Step-by-step explanation:

Answer:

180 inches squared (^2)

Step-by-step explanation:

To find the area of a rectangle, simply multiply the length by the width (15*12)

Don't forget it is squared! Good luck!

Answer & step-by-step explanation:

to arrive at the similarity, the transformation must be as follow:

the small circle will be dilated for a specific scale factor,

the radius of X circle is R= 6, and the radius of the small circle is r = 2

besides, two circles are similar if and only if R = r, (their radius ar equal)

therefore  r = 2*k = 6, and from where k = 6 / 2 = 3 units

the answer is

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Answer:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Step-by-step explanation:

To prove circles are similar:

Translate the circles so that they share a common center point. (The circles are now concentric as they have the same center).

Dilate the smaller circle to increase its size to coincide with the larger circle.  The amount that the circle needs to be dilated by is the scale factor.

As the radius of circle Y is 2 and the radius of circle X is 6, determine the scale factor by dividing the larger radius by the smaller radius:

scale factor = 6 ÷ 2 = 3

Solution:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

By the way, you forgot to give us the image:

the mean numbers of point scored is greater than 12 points(C.)

Answer:

For 4 its 6 due to having 0 INCHES for 6 days (The answer to number 6 which is what your looking for is 1 12/8 simplify that and It'd be 2 1/2)

Step-by-step explanation:

This is because adding up the total rain falls will get you to 2 1/2

Answer:

........................

Answer:

[tex]144ft^{2}[/tex] (144ft^2)

Step-by-step explanation:

Since the living room is 6 inches by 6 inches, the formula of the living room can be seen as: [tex]6in^{2}[/tex]. And since each inch is equal to 2 feet, (6*2=12) we can turn the equation into: [tex]12ft^{2}[/tex]. 12 times 12 is 144, so the answer is [tex]144ft^{2}[/tex]

Answer:

0-9: 4

10-19: 4

20-29: 1

30-39: 4

40-49: 2

Step-by-step explanation:

Since frequency means how many times it showed up in the list

this all adds up to 15, making it an easy check.

hope this helps:)

The volume of the model to the nearest cubic foot is 137 ft³

Volume of a sphere = 4/3πr³

Radius, r = diameter / 2

= 6.4 ft / 2

= 3.2 ft

Volume of a sphere = 4/3πr³

= 4/3 × 3.14 × 3.2³

= 4/3 × 3.14 × 32.768

= 411.56608 / 3

= 137.188693333333

Approximately,

Volume of the sphere = 137 ft³

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Using the assumed coordinates of point F, the coordinates of point D are (3,3)

The given parameters are:

Ratio, m : n = 2 : 5

E = (3.8, -3)

The coordinates of point D is calculated using:

[tex]D = \frac{1}{m + n} * (mx_2 +nx_1,my_2 +ny_1)[/tex]

So, we have:

[tex]D = \frac{1}{2 + 5} * (2x_2 +5*3.8,2y_2 +5*-3)[/tex]

Evaluate the sum and the products

[tex]D = \frac{1}{7} * (2x_2 +18,2y_2 -15)[/tex]

Assume the coordinates of point F are:

F = (1.5,18);

The equation becomes

[tex]D = \frac{1}{7} * (2*1.5 +18,2*18 -15)[/tex]

Evaluate

[tex]D = \frac{1}{7} * (21,21)[/tex]

This gives

D = (3,3)

Hence, the coordinates of point D are (3,3)

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