if 1 yard = 3 feet and 1 mile = 5.280 feet how many yards are there in 2 miles .​

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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Answer:

rational real whole

Step-by-step explanation:

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:

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:

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

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:

$4,680

Step-by-step explanation:

Rate : 10 dollars a week

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

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:

300pi

Step-by-step explanation:

the formula for volume of a cylinder is pi3^2h

So pi * (25) * 12

300 pi.

If you forget the formula, remember circle area is pir^2 and multiplying that by the height will raise the circle's area, giving us volume.

Answer:  

[tex]85in^2[/tex]

Step-by-step explanation:

to find the surface area we need to find the followng areas:  

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

[tex]a_{square}=l^2[/tex]

where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]

thus the area of the square is:

[tex]a_{square}=(5in)^2[/tex]

[tex]a_{square}=25in^2[/tex]

Area of the triangles:

the are of 1 triangle is given by

[tex]a_{triangle} =\frac{b*h}{2}[/tex]

where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)

and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]

thus, the area of 1 triangle is:

[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]

[tex]a_{triangle} =\frac{30in^2}{2}[/tex]

[tex]a_{triangle} =15in^2[/tex]

the area of the 4 triangles is (we multiply by 4):

[tex]a_{4-triangles}=4(15in^2)[/tex]

[tex]a_{4-triangles}=60in^2[/tex]

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

[tex]Surface=25in^2+60in^2[/tex]

[tex]Surface=85in^2[/tex]

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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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

[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} ) \div ( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]

First, solve the brackets.

First bracket:

[tex]( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} )[/tex]

[tex] = \frac{55}{96} [/tex]

Second bracket:

[tex]( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )[/tex]

[tex] = \frac{13}{24} [/tex]

Then divide.

[tex] \frac{55}{96} \div \frac{13}{24} [/tex]

[tex] = \frac{55}{52} \: or \: 1\frac{3}{52} [/tex]

answer:

as improper fraction= 55/52

as mixed fraction= 1 3/52

hope this helps

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:

probably the furthest graph to the left.

Step-by-step explanation:

seems like a 25% 10% split.

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.

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

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: 6, 6, 9 and 25

Step-by-step explanation:

bbringingbbringingout the data's from the graph and arrangementsarrangingarrangingarrangementsarrangingarranging them serially that's from smallest to biggest biggest, then selecting the middle number if the number of entire entries is an odd number but if it's an even number you take the average of the two middle number

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:

Answer:

Review your state Standards.

Notes

Khan on your topic or grade level

Dealta Math

Math Nation

Answer:

∝ <  y < 2

Step-by-step explanation:

The range is negative infinity to 2.

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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The probability that exactly 6 workers take the bus to work is 0.001

The given parameters are:

The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x{[/tex]

So, we have:

[tex]P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4[/tex]

Evaluate the expression

P(6) = 0.001

Hence, the probability that exactly 6 workers take the bus to work is 0.001

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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 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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Answer:

C. 82.43

Step-by-step explanation:

acb's angle is 315 degrees because

360 - 45 = 315

arc length is in radians

arc length is radius times (angle times (pi÷180))

arc length is 15 times (315 times (pi÷180))

arc length is 82.43

cuemathcomgeometry

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:

0.03

Step-by-step explanation:

the first thing you would do in this equation is to deal with the exponent

a negative exponent puts the number under 1

1/10^2

10^2 is also 100

1/100

3 * 1/100 is 3/100 so that is your answer

3/100 is also 0.03

Answer: [tex]\frac{3}{100}[/tex] or 0.03

Step-by-step explanation:

3×[tex]10^{-2}[/tex]

3 × [tex]\frac{1}{100}[/tex]

⇒ [tex]\frac{3}{100}[/tex]

⇒ 0.03

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.