What's the lateral area of the cylinder?

A. 251 yd.²

B. 314 yd.²

C. 503 yd.²

D. 13 yd.²

Answer:

D 8.5 ≥ 2.5p

Step-by-step explanation:

Answer:

n = 9 / 2 or 4.5

Step-by-step explanation:

2/3 = 3/N

cross multiply

2 x n = 2n

3 x 3 = 9

2n = 9

divided both sides by 2

2n / 2 = 9 / 2

n = 9 / 2

Answer:

65

Step-by-step explanation:

The lines are parallell so m1 = m5, and m3=m8. 180-115 is 65

Answer:

There are 46 rows with 63 seats in each row

Step-by-step explanation:

I started looking for a whole number dividing seats and rows to make up the two pieces we need to multiply. I started backward from 70 (lucky guess) and then worked my way down to 63 and 46.

Now I was also looking for something more elegant in an algabraic formula and I stated with x being the number of rows and the seats being (x=17)

so I started with X(X+17)=2898 but that fif sot pan out other than to take me to x squared +17 = 2898 - subtract 17 from each side xsquared equals 2916

square root of 2916 is 54 which started my searching for a random number.

I got lucky

Answer:

Ramona is walking 10,000 feet for a fundraiser. She walks at a rate of 270 feet per minute. This situation is modeled by the equation below, where d represents.

Step-by-step explanation:

Answer:

Domain: -∞ < x < ∞

Range:   -∞ < f(x) < ∞

Derivative: 3x² - 4x - 1

Roots: x1=-1

           x2=1

           x3=2

Answer:

The answer would be D. 14 cm block

Step-by-step explanation:

if you count all the blocks the you get 14. this is the total number of cm blocks.

Answer:

Step-by-step explanation:

each block is 1 cm³ and the figure has

bottom layer (2*3)cubes = 6 cubes

second layer (2*3)cubes = 6 cubes

third layer from down to up has 2 cubes

In all we have 6+6+2 = 14 cubes

V = 1cm³ * 14 cubes = 14 cm³

Answer:

B

Step-by-step explanation:

x + 3y = 2 → (1)

4x - 3y = 23 → (2)

adding (1) and (2) term by term will eliminate y

(x + 4x) + (3y - 3y) = 2 +  23

5x + 0 = 25

5x = 25 ( divide both sides by 5 )

x = 5

ANSWER

x = 20

EXPLANATION

The equation given can be express as

y = 0.25x + 50

y = 0.30x + 40

Since, both equations are functions

Equate the two functions together

0.25x + 50 = 0.30x + 40

Collect the like terms

0.25x - 0.30x = 40 - 50

x(0.25 - 0.30) =-10

x(-0.5) = -10

-0.5x = -10

Divide both sides by -0.5

-0.5x / -0.5 = -10/-0.5

x = 10/0.5

x = 20

When collecting the like terms, we isolate values with the same variables from values with a different variables.

If a positive sign crosses an equality sign it automatically becomes a negative sign and if a negative sign crosses an equality operator it automatically becomes a positive sign

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

student ticket = $11

(adult ticket = $15)

Step-by-step explanation:

Let a = price of adult ticket

Let s = price of student ticket

Given:

⇒ 12a + 11s = 301

Given:

⇒ 6a + 4s = 134

Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:

⇒ (6a + 4s = 134) × 2:  12a + 8s = 268

  12a + 11s = 301

- (12a + 8s = 268)

--------------------------

            3s = 33

⇒ s = 33 ÷ 3 = 11

Substitute found value of s into one of the equations and solve for a:

⇒ 12a + 11(11) = 301

⇒ 12a + 121 = 301

⇒ 12a = 180

⇒ a = 15

Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11

Answer:

Step-by-step explanation:

a=11/12

Answer:

8/28

Step-by-step explanation:

2/7  = ?/28

Well we have both of the denominators, and all they did was multiply the denominator of "7" by 4 to get "28" as the other denominator, so now all we have to do is multiply the first numerator by 4 to get the equivalent fraction.

2*4/7*4 = ?/28

8/28 = ?/28

The given numerator will be 8.

2/7 is equivalent to 8/28

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer:

$68,796.57

Step-by-step explanation:

approx $68,796.57 at 18 years

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

Positive Trend

Step-by-step explanation:

The y is increasing as the x increases meaning it has a positive trend.

I hope this helps.

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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Answer:

9/10

Step-by-step explanation:

8.6-4x2+3/10- multiply first 4x2=8

8.6-8+3/10 - subtract 8.6-8+.6

.6+3/10= 9/10

Answer:

a)  y₂ (x) = e ⁵ˣ  

Complementary function

               \(y_{C} = C_{1} {e^{-5x} } + C_{2} {e^{5x} }\)

b) particular integral

\(P.I = y_{p} = \frac{-4}{25}\)

Step-by-step explanation:

step(i):-

Given differential equation y''-25y= 4

operator form

             ⇒    D²y - 25 y =4

            ⇒     (D² - 25) y =4

       This is the form of f(D)y = ∝(x)

where f(m) = D² - 25     and ∝(x) =4

The auxiliary equation A(m) =0

                         ⇒ m² - 25 =0

                          m² - 5²  =0

                      ⇒ (m+5)(m-5) =0

                     ⇒ m =-5 , 5

Complementary function

               \(y_{C} = C_{1} {e^{-5x} } + C_{2} {e^{5x} }\)

This is form of

             \(y_{C} = C_{1} y_{1} (x) + C_{2} y_{2} (x)\)

where y₁ (x) = e⁻⁵ˣ   and  y₂ (x) = e ⁵ˣ  

Step(ii):-

Particular integral:-

\(P.I = y_{p} = \frac{1}{f(D)} \alpha (x)\)

\(P.I = y_{p} = \frac{1}{D^{2} -25} 4\)

      =  \(= \frac{1}{D^{2} -25} 4e^{0x}\)

put D = 0

The particular integral

\(y_{p} = \frac{1}{ -25} 4\)

\(P.I = y_{p} = \frac{-4}{25}\)

Conclusion:-

General solution of given differential equation

\(y = y_{C} +y_{P}\)

\(y = C_{1} {e^{-5x} } + C_{2} {e^{5x} } -\frac{4}{25}\)

Answer:

you can't square root with negative numbers the answer will be math error and you cant simplify it unless it has no negative in it.

Answer: See attached.  

              Open circle -4 with line to the left.

Step-by-step explanation:

      First, we see it's a < [less than] symbol so we will use an open circle. Next, we see that y is equal to everything less than -4, so we will shade to the left of an open circled -4. See attached.

Answer:

Whats the question?

Step-by-step explanation:

or is it just like a fake question

Answer to the given famous joke is: "The plant in math class forgot to square its roots."

This joke plays on the mathematical concept of "squaring roots" and humorously applies it to a plant in a math class context. In mathematics, "squaring" a number means multiplying it by itself, and the "square root" of a number is the value that, when multiplied by itself, gives the original number.

In this joke, the plant is personified, as if it were a student in a math class, and humorously forgets to square its roots, which is something entirely unrelated to plants but fits within the mathematical context. The humor comes from the unexpected and clever blending of a mathematical concept with a non-mathematical subject, resulting in a lighthearted and punny punchline.

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------------The given question is incomplete, the complete question is:

"Explain answer to the famous joke, "What happened to the plant in math class?"-----------------

Starting at vertex A and using the nearest neighbor algorithm, the path is: A-C-B-D-A, with a total distance of 95. This means visiting vertices in the order A, C, B, D, and back to A, and the total distance traveled is 95 units.

The nearest neighbor algorithm is used to find the shortest path between a set of points. Here are the steps to apply the algorithm in this case

Start at vertex A. Look for the closest neighboring vertex to A. In this case, the closest vertex is B, which is 7 units away from A. Move to vertex B and mark it as visited. Look for the closest neighboring vertex to B that has not been visited. In this case, the closest vertex is C, which is 11 units away from B.

Move to vertex C and mark it as visited. Look for the closest neighboring vertex to C that has not been visited. In this case, the closest vertex is D, which is 18 units away from C. Move to vertex D and mark it as visited.

Look for the closest neighboring vertex to D that has not been visited. In this case, the closest vertex is B, which is 15 units away from D. Move to vertex B and mark it as visited.

Look for the closest neighboring vertex to B that has not been visited. In this case, the closest vertex is E, which is 20 units away from B. Move to vertex E and mark it as visited.

Look for the closest neighboring vertex to E that has not been visited. In this case, the closest vertex is A, which is 24 units away from E. Move to vertex A and mark it as visited. All vertices have been visited, so the algorithm is complete.

The list of vertices visited, starting and ending at A, is A, B, C, D, B, E, A and the distance is 95.

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Answer:

7 x 2 = 14   or even  7 x 4 / 2 = 14

Step-by-step explanation:

Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

Answer:

undefined

Step-by-step explanation:

to find slope it’s y2-y1/x2-x1

9-7/-2-(-2)

2/0

Undefined slope

Hopes this helps please mark brainliest

Answer:

The combined total dollar amount Fred paid for his class fees would be given by:

total paid = 95s + 118(12-s)

This expression takes into account that Fred took s credit hours at Seminole and 12-s credit hours at Valencia.