Tripling the radius of a cylinder find the dimensions, surface area, before change and after change. Help ASAP please !

Answer is 140

According to the question,

Given that,

111 + 10 + 25 - 2 × 3

calculate the term

121 + 25 - 6

121 + 19

140

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Answer:

  5.2 g/cm³

Step-by-step explanation:

Given a sculpture consisting of 2 cm³ at 4 g/cm³, 7 cm³ at 5 g/cm³, and 5 cm³ at 6 g/cm³, you want its average density.

The total mass of the sculpture is the sum of the masses of the components. Each of those is the product of its volume and density.

  red sand: (2 cm³)(4 g/cm³) = 8 g

  yellow sand: (7 cm³)(5 g/cm³) = 35 g

  brown sand: (5 cm³)(6 g/cm³) = 30 g

The total mass of the sculpture is ...

  total mass = 8 g + 35 g + 30 g = 73 g

The total volume of the sculpture is the sum of the volumes of its parts:

  total volume = 2 cm³ +7 cm³ +5 cm³ = 14 cm³

The density is the ratio of mass to volume:

  ρ = (total mass)/(total volume) = (73 g)/(14 cm³) = 73/14 g/cm³

  = 5 3/14 g/cm³ ≈ 5.2 g/cm³

The average density of the sculpture is about 5.2 g/cm³.

Step-by-step explanation:

[tex](3 \sqrt{3 - 2 \sqrt{2)(3 \sqrt{3 - 2 \sqrt{2)} } } } [/tex]

The tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point

a)y=24x²+8x-2 at x=3.

b) y=(4x+2)/(6x-1) at x=3.

The tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point

Given

f at x=3 is y= 4x+2

g at x=3 is y=6x-1

f(3)= 4x+2  and g(3)=6x-1

y=f(x)g(x)

at x=3,

Solution for a:

y=f(3)g(3)

=(4x+2)(6x-1)

=24x²-4x+12x-2

=24x²+8x-2

So y=24x²+8x-2 at x=3.

Solution for b:

y=f(3)/g(3)

=(4x+2)/(6x-1)

So y=(4x+2)/(6x-1) at x=3.

Therefore y=24x²+8x-2 at x=3 for y = f(x)g(x) and  y=(4x+2)/(6x-1) at x=3 for y = f(x)/g(x).

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Answer: Yes

Step-by-step explanation: Kelly's results are likely to be correct mainly because she pulled votes from several different age groups. The fact that she asked several age groups whether or not they would be in favor of creating a local dog park shows that her results are likely to yield valid results.

The equation of circle is [tex]x^2+y^2=100[/tex]

The standard equation of a circle with center (h, k) and radius r is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex] ........(1)

This is the equation needed for the circle with a center at A(h, k) and a radius equal to r since it describes the relationship between the coordinates of any point on the circumference.

Now according to the question, it is given that the circle has the center at origin and length of its radius is 10.

Center = (h, k)=(0, 0)

Radius(r) = 10 units

Now, substituting the given values in (1) we get;

⇒[tex]x^2+y^2=100[/tex]

Therefore, the equation of circle centered at origin with radius 10 is [tex]x^2+y^2=100[/tex]

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Answer:

450g

450,000mg

450,000,000,000ng

Explaination:

Kg to g (x1,000)

Kg to mg (x1,000,000)

kg to ng (x1,000,000,000,000)

The sequence starting with 0 but each number is two times three less than the previous number is as follows:

0, -6, -12, -18, -22

A sequence is defined as an arrangement of numbers in a particular order.

The most common sequence are the arithmetic and the geometric sequence.

The sequence starts with 0 but each number is two times three less than the previous number.

This means the first term of the sequence is 3.

Hence,

2 times 3 less than the previous number means:

Aₙ = Aₙ₋₁ - 2(3)

where,

Let's use the formula to find the other numbers in the sequence,

A₂ = A₂₋₁ - 2(3) = 0 - 6 = -6

A₃ = A₃₋₁ - 2(3) = -6 - 6 = -12

A₄ = A₄₋₁ - 2(3) = -12 - 6 = - 18

A₅ = A₅₋₁ - 2(3) = -18 - 6 = - 22

Therefore, the sequence starting with 0 but each number is two times three less than the previous number is as follows:

0, -6, -12, -18, -22

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Answer: See attached

Step-by-step explanation:

See attached

The possible values of x will belong to the set A = [9, ∞).

We have the following inequality -

1 - 2x/3 ≤ -3

We have to determine all values of x.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

According to the question, we have the following inequality -

1 - 2x/3 ≤ -3

Subtract 1 from both sides -

-2x/3 ≤ -4

Multiply by -1 on both sides -

2x/3 ≥ 4

Multiply by 3/2 on both sides -

x ≥ 9

Hence, the possible values of x will belong to the set A = [9, ∞).

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(A) (m,n) = g(n,m) for all positive integers m,n,

(B) (m,n + 1) = g(m + 1,n) for all positive integers m,n,

(D) (2m,2n) = (g(m,n))2 for all positive integers m,n

[tex] \rm f(m,n,p) = \sum \limits_{i = 0}^{p} {}^{m} C_{i} \: \: {}^{n + i} C_{p} \: \: {}^{p + n} C_{p - i}[/tex]

[tex]\rm {}^{m} C_{i} \: \: {}^{n + i} C_{p} \: \: {}^{p + n} C_{p - i}[/tex]

[tex]\rm {}^{m} C_{i} \dfrac{(n + i)!}{p!(n - p + i)!} \times \dfrac{(n + p)!}{(p - i)!(n + i)!} [/tex]

[tex]\rm {}^{m} C_{i} \times \dfrac{(n + p)!}{p!} \times \dfrac{1!}{(n -p + i)!(p - i)!} [/tex]

[tex]\rm {}^{m} C_{i} \times \dfrac{(n + p)!}{p!} \times \dfrac{1!}{(n -p + i)!(p - i)!} [/tex]

[tex]\rm {}^{m} C_{i} \times \dfrac{(n + p)!}{p!n!} \times \dfrac{n!}{(n -p + i)!(p - i)!} [/tex]

[tex]\rm {}^{m} C_{i} \: \: {}^{n + p} C_{p} \: \: {}^{n} C_{p - i} \: \: \{{}^{m} C_{i} \: \: {}^{n } C_{p - i} = {}^{m + n} C_{p } \}[/tex]

[tex]\rm {}^{m} C_{i} \: \: {}^{n + p} C_{p} \: \: {}^{n} C_{p - i} \: \: \{{}^{m} C_{i} \: \: {}^{n } C_{p - i} = {}^{m + n} C_{p } \}[/tex]

[tex] \rm f(m,n,p) = {}^{n + p} C_{p}{}^{m + n} C_{p}[/tex]

[tex] \rm \dfrac{f(m,n,p)}{{}^{n + p} C_{p}} = {}^{m + n} C_{p}[/tex]

Now,

[tex] \rm g(m,n) = \sum \limits_{p = 0}^{m + n} \dfrac{f(m,n,p)}{{}^{n + p} C_{p}} [/tex]

[tex] \rm g(m,n) = \sum \limits_{p = 0}^{m + n} {}^{m + n} C_{p}[/tex]

[tex] \rm g (m,n) = {2}^{m + n} [/tex]

[tex] \rm(A) \: g(m,n) = q(n,m)[/tex]

[tex] \rm(B) \: g(m,n + 1) = {2}^{m + n + 1} [/tex]

[tex] \rm g(m + n,n ) = {2}^{m + 1 + n} [/tex]

[tex] \rm(D) \: g(2m,2n) = {2}^{2m + 2n} [/tex]

[tex] = \rm( {2}^{m + n} {)}^{2} [/tex]

[tex] = \rm(g(m,n)) {}^{2} [/tex]

Yes; for each element of the domain, there is only one element of the range.

For a relation in coordinate form to be a function, there is must nor be repetition in the value of its coordinate.

Given the following relation as shown  { ( 2 , 5 ) , ( 4 , − 2 ) , ( 3 , 3 ) , ( 5 , 4 ) , ( − 2 , 5 ) }, since there is no repetition in its domain values, hence the relation is a function.

We can conclude therefore that Yes; for each element of the domain, there is only one element of the range.

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The value of x associated with the point P on a number line is 0.5.

In accordance with the statement, the condition SP = PT means that the locations of points S, T and P on the number line are 0, 1, x, so that S < P < T and that point P is equidistant of points S and T. Then, the location of the missing point is determined by the midpoint formula:

P = 0.5 · S + 0.5 · T

P = 0.5 · 0 + 0.5 · 1

P = x = 0.5

The value of x associated with the point P on a number line is 0.5.

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An equation to answer the question of how many people must attend the third show to have an average attendance of 3,000 when the other show attendance numbers are 2580, and 2920 is 9,000 = 2,580 + 2,920 + x.

An equation is a mathematical expression or statement that shows that two values are equal.

An equation uses the equation mark (=).

To have an average attendance per show of 3,000 for three shows, a total of 9,000 people must attend the three shows (3,000 x 3).

Attendance for the first show = 2,580

Attendance for the second show = 2,920

Total attendance for the two shows = 5,500

Required attendance for the third show, x = 9,000 = 2,580 + 2,920 + x

x = 9,000 - 5,500

x - 3,500

Thus, the equation for the third show attendance is 9,000 = 2,580 + 2,920 + x where x = 3,500.

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And the other show attendance numbers are 2580 and 2920.

The solution of the given equation 4m - m - t = 0  for m is t/3.

According to the given question.

We have a linear equation in two variables i.e. 4m - t = m.

As we know that, an equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Since, we have to solve the given equation 4m - t = m for m. So, the solution of the equation 4m - t = m for m is given by

4m - t = m

⇒ 4m - m - t = 0   (subtracting m both the sides)

⇒ 3m - t = 0

⇒  3m = t   (adding t both the sides)

⇒ m = t/3.

Hence, the solution of the given equation 4m - m - t = 0  for m is t/3.

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The length and width is 32 inches and 10 inches.

Let us assume the width of rectangle be w. So, length of rectangle = 3w + 2. As per the known fact, the length and width of rectangle for perimeter is related as - Perimeter = 2 (length + width)

Keep the values in formula to find the value of width

84 = 2 (3w + 2 + w)

Performing addition in bracket

84 = 2 (4w + 2)

Performing multiplication

84 = 8w + 4

8w = 84 - 4

Performing subtraction

8w = 80

w = 80 ÷ 8

Performing division

w = 10 inches

Finding length now -

Length = 3×10 + 2

Length = 30 + 2

Length = 32 inches

Hence, the length and width is 32 inches and 10 inches.

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Answer:

-7

Step-by-step explanation:

The number located at point D is 7, And the opposite of 7 is -7.

Answer:

3k

Step-by-step explanation:

k+(k-1)+(k+1)=3k

Answer:

GA =34

Y = 61

Step-by-step explanation:

GA= GENERAL ADMISSION =$10

Y= YOUTH =$8

GA+Y= 95

GA=95-Y

10GA+8Y=828

10(95-Y)+8Y=828

950-10Y+8Y=828

-2Y= 122 MULTIPLY BY (-1)

2Y= 122

Y= 61

GA= 34

There were 61 youth tickets sold and 34 general admission tickets

Reason: The absolute value erases the negative sign.

Saying |-29| = 29 means that the number -29 is 29 units from 0 on the number line.

Answer: 29

Step-by-step explanation: The absolute value of -29 is 29. An absolute value is a number's distance from 0. -29 + 29 = 0, therefore the absolute value is 29.

Answer:

So what you have to do is go back to you lesson and read till you find an answer just like this one and read how to do it when u do that go back and to the quick check and find an answer that is similar. the reason why I'm telling you this is cause I cant calculate it right. or what you can do is calculate it right on here.

Step-by-step explanation:

https://www.inchcalculator.com/cubic-footage-calculator/

Answer:

[tex] \sf \large \: 4m+52[/tex]

Step-by-step explanation:

4(m−2+15)

=(4)(m+−2+15)

=(4)(m)+(4)(−2)+(4)(15)

=4m−8+60

=4m+52

Answer:

4m+52

Step-by-step explanation:

Answer:

[tex]\sf y =\dfrac{-11}{8}x +\dfrac{13}{8}[/tex]

Step-by-step explanation:

Here, m is the slope and b is the y-intercept.

( -1, 3) ;  x₁ = -1  & y₁ = 3

(7, -8) ; x₂ = 7 & y₂ = -8

Slope can be obtained by the formula:

    [tex]\sf \boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                [tex]\sf =\dfrac{-8-3}{7-[-1]}\\\\\\=\dfrac{-8-3}{7+1}\\\\\\=\dfrac{-11}{8}[/tex]

Now, we can find the y-intercept,

[tex]\sf y = \dfrac{-11}{8}x + b\\\\Substitute \ any \ one \ of \ the \ point \ in \ the \ above \ equation.\\\\\text{Here, we are substituting (-1 ,3)}\\\\3 = \dfrac{-11}{8}*(-1) + b\\\\3 = \dfrac{11}{8}+b\\\\b = 3 - \dfrac{11}{8}\\\\b = \dfrac{3*8}{1*8}-\dfrac{11}{8}\\\\b= \dfrac{24-11}{8}\\\\b= \dfrac{13}{8}[/tex]

Slope-intercept form:

          [tex]\sf y =\dfrac{-11}{8}x +\dfrac{13}{8}[/tex]

Answer:

your quotient should be 57

so you would start with 38 and you gotta think hmm

C+(-19)=38

okay so you would change -19 to positive 19

and then add that to 38

and then you would get 57

so therefore C=57

so

57+(-19)=38

Answer:

57

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

that should be an equal sign

The rule f ( x ) - g ( x ) is given as x^3 - x^2 + 18

Given data

f(x) = x3 + 10, g(x) = x2 - 8, and h(x) = 5x + 4

f(x) - g(x) = ( x3 + 10 ) - ( x2 - 8 )

= ( x3 + 10 ) - ( x2 - 8 )

opening the parenthesis gives

= x3 + 10 - x2 + 8

collecting like terms gives

= x3 - x2 + 18

Hence we can say that f(x) - g(x) = x3 - x2 + 18

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complete question

The complete question is attached

Answer:

6(5)3(5)² + (3)³

Step-by-step explanation:

Put this into your calculator just like this

Answer:

See below

Step-by-step explanation:

Rate = 20 sheets  / 14 seconds =   10/7  sheet / sec

every 200 sheets is 4 rest periods =  12 minutes

1000 sheets / (10/7 sheet/ sec)  +       12 min

  700 seconds + 12 minutes

   = 700 seconds + 720 seconds = 1420 seconds = 23 min 40 sec

Part (a)

The middle values were nitially 266 and 269, but now they are 255 and 266. Thus, the median changes from 267.5 to 260.5, meaning it decreases by 7.

Part (b)

The sum before the change is 2264, but after, it is 2120. This means the sum decreased by 144, and thus the mean decreased by 16.