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What is the surface area of the cylinder with height 2 km and radius 8 km? Round
your answer to the nearest thousandth.

Answer:

(3x - y + 2)(3x + y - 2).

Step-by-step explanation:

9x^2 - y^2 + 4y - 4​

= 9x^2 - (y^2 - 4y + 4)

= 9x^2 - (y - 2)^2

= (3x - (y - 2))(3x + (y - 2)

= (3x - y + 2)(3x + y - 2).

Answer:

p1 = F

p2 = D

p3 = B

p4 = A

p5 = E

p6 = C

Step-by-step explanation:

The following are matched.

P4 - Linear Pair

P3 - Vertical Angles

P6 - Angle Bisector

P2 - Parallel Lines

P5 - Ortho Center

P1 - Centroid

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

P1.

It is the centroid of the triangle.

P2.

AB and CD are parallel lines.

P3.

∠AEB and ∠CED are vertical angles.

P4.

∠AEB and ∠AEC sum is 180.

It is a linear pair.

P5.

Point P is the orthocenter.

P6.

ABC and CBD are angle bisector.

Thus,

P4 - A

P3 - B

P6 - C

P2 - D

P5 - E

P1 - F

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Answer:

none of these

Step-by-step explanation:

it's infinite series so answer is in appox.

Solution is in image

Answer:

6 cups

Step-by-step explanation:

Answer:

[tex]\dfrac{x}{2}+\dfrac{1}{3}[/tex]

Step-by-step explanation:

We need to find the value of [tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))[/tex]

We can solve it as follows :

[tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))\\\\=(\dfrac{x+3x-2x}{4})+1-\dfrac{2}{3}\\\\=\dfrac{2x}{4}+\dfrac{1}{3}\\\\=\dfrac{x}{2}+\dfrac{1}{3}[/tex]

Hence, the value of [tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))[/tex] is equal to [tex]\dfrac{x}{2}+\dfrac{1}{3}[/tex].

Answer:

287 inches so rounding its 290 inches

Answer:

-7/3, 0.5, 2/3, 3/4, 1.2 valued least to greatest

Step-by-step explanation:

-7/3 is negative then 0.5 then 2/3 is .6666 as a decimal then 3/4 which is .75 as a decimal and then 1.2

Answer:

I like lots of chips!

Step-by-step explanation:

Answer:

The dimensions that will give the largest printed area of 132.1669 in^2 are

= Length x Width

= 15.20829 * 8.69045

Step-by-step explanation:

a) Data and Calculations:

Total poster area = 200 in^2

Side margins = 1 inch each

Top and bottom margins = 2 inches each

Let x = length of the full poster

then 200/x = width of the full poster

Therefore, the length of the printed area = x - 3.5

and the width of the printed area = (200/x)-2

Therefore, the Area of the Printed space = (x-3.5)((200/x)-2)

Solving for the Area (A) of the printed space, we have

A = (x-3.5)(-200/x2) + ((200/x)-2)

A = 700 -2x2

If the derivative is set to 0, we have:

0 = 700 -2x2

700 = 2x2

350 = x2

x = 18.70829  The original length

width = 10.69045

Therefore, the area of space available for printing is

15.20829  *  8.69045

= 132.1669 in^2

Answer:

Step-by-step explanation:

What are the options?

Answer:

C. The value of money increases over time.

Step-by-step explanation:

Randy saves money using an account which earns interest over the course of several years. Which statement is true?

A.  

The future value of his account is equal to the present value.

B.  

The present value of money in his account is greater than the future value.

C.  

The value of money in his account remains constant over time.

D.  

The value of money in his account increases over time.

Answer:

6

Step-by-step explanation:

752/800=0.94

0.94x100=94

100-94=6

The percent error, to the nearest percent, of the estimate is 6%

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

Given:

Expected value = 800

Actual value = 752

Now, Percent error

Computation;

Percent error = [(Actual value - Expected value)/Expected value]100

= [(800 -752) / 800]100

= 6%

Therefore, the percentage error will be 6%

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Answer:

Grams

Step-by-step explanation:

Mass is the amount of matter present inside a solid. Kilograms and grams are the units to measure mass of an object.

For pencil, the unit to measure its mass is grams. As its mass is less, we can use smaller unit.

Hence, the correct option is (c) "grams"

Answer:

All lines with zero slope is a horizontal line.

y=mx+c slope is m. If m were zero, any x value substituted in would make y=(0)x+c, y=c.

Sub in the values 5=(0)(-3)+c, c would then be 5. So the equation would be y=5.

Answer:

CROSS JOIN  (/^\s*symmetric\s*difference\s*$/)

Step-by-step explanation:

Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.

In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.

Answer:

[tex]\frac{9}{13}[/tex]

Step-by-step explanation:

1. the formula is: p=(number_of_numbered_cards)/(total_number_of_cards);

2. the number of total numbers of the cards is 52 (according to the condition); the number of the numbered cards is:

4*(10-2+1)=36 (min is '2'; max is '10').

3. after the substitution:

p=36/52=9/13≈0.692

Answer:

the correct order is 0, then 1/13 then 49/100 then 1/2 then 11/20 then  8/9 and the greatest is 1

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Let the first, second and third number be x, y and z respectively.

We are told that the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2.

Thus;

(x + 3z) - y = 2 - - - (eq 1)

The third number plus 3 times the first number is -1.

Thus;

z + 3x = -1 - - - (eq 2)

The first number plus 3 times the second number plus the third number is -16.

Thus;

x + 3y + z = -16 - - - (eq 3)

From eq 2, we can rearrange to get;

z = -1 - 3x

Putting -1 - 3x for z in eq(1) and (eq 3),we have;

(x + 3(-1 - 3x)) - y = 2

x -3 - 9x - y = 2

-8x - y = 2 + 3

-8x - y = 5

y = -5 - 8x

Putting y = -5 - 8x and z = -1 - 3x into eq(3), we have;

x + 3(-5 - 8x) + (-1 - 3x) = -16

x - 15 - 24x - 1 - 3x = -16

-26x - 16 = -16

-26x = 16 + 16

x = 0

Since y = -5 - 8x, then y = -5 - 8(0)

y = - 5

Also, since z = -1 - 3x, then;

z = -1 - 3(0)

z = -1

The sum of the three numbers are;

x + y + z = 0 + (-5) + (-1) = -6

Answer:

x is 11

Step-by-step explanation:

We know the slope (3/4) and a point (3,-4), so we can use point-slope form (y-y1=m(x-x1)

Substitute the numbers into the equation

y--4=3/4(x-3)

simplify

y+4=3/4(x-3)

do the distributive property

y+4=3/4x-9/4

subtract 4 from both sides

y=3/4x-25/4

this is the equation of the line.

Since it says that (x,2) is a point in the equation, we can substitute it into the equation

2=3/4x-25/4

add 25/4 to both sides

33/4=3/4x

multiply by 4/3

11=x

we can double check by plugging (11,2) into the equation of the line.

2=3/4(11)-25/4

2=33/4-25/4

2=2

it works! :)

Hope this helps!

Answer:

1. 0.875 2. 0.666… 3. 2.25 4. 0.8333…

Step-by-step explanation:

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number. Hope you get it! :)

9514 1404 393

Answer:

  D

Step-by-step explanation:

Solve x = f(y) for y.

  x = ∛(y/9) -4

  x +4 = ∛(y/9) . . . . . add 4

  (x +4)³ = y/9 .. . . . . cube

  9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

  f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice

Answer:

decreasing, then increasing

Answer:

always increasing

Step-by-step explanation:

i did the iready lesson

Answer:  i think it is 45.2

Step-by-step explanation:

Answer:

<AEB and <CED are congruent by vertical angles theorem.

Step-by-step explanation:

Given that AB and CD are parallel bro each other, and two straight lines intersect at E, therefore, <AEB and <CED that are formed are congruent to each other because they are vertical opposite angles.

Thus, the answer would be:

<AEB and <CED are congruent by vertical angles theorem.

Answer:

Step-by-step explanation:

1)8/12=12/18

2)12/20=18/30

3)4/16=6/24

n(x) = -3x + 7

n(0) = -3(0) + 7

n(0) = 0 + 7

n(0) = 7