11mins for 84 people if there are 210 people in line how many mins do they have to wait?

Answer: We know that the area of the base of a cylinder is given by the formula:

A = πr²

where A is the area of the base, π is the mathematical constant pi (approximately equal to 3.14), and r is the radius of the base.

To find the perimeter of the base, we need to know the circumference of the circle that forms the base of the cylinder. The formula for the circumference is:

C = 2πr

where C is the circumference and r is the radius.

To find the radius of the base, we can rearrange the formula for the area:

A = πr²

r² = A/π

r = √(A/π)

Substituting the given value for the area of the base, we get:

r = √(38.5/π) ≈ 3.5 m

Now, we can use the formula for the circumference to find the perimeter of the base:

C = 2πr = 2π(3.5) ≈ 22 m

Therefore, the perimeter of the base is approximately 22 meters.

Step-by-step explanation:

We can set up a proportion to find the number of grams of bichloride in 250 mL:

(1 gram) / (0.5 liter) = (x grams) / (0.25 liter)

Cross-multiplying:

0.5x = 0.25

Dividing both sides by 0.5:

x = 0.25 / 0.5 = 0.5

Therefore, 250 mL will contain 0.5 grams of bichloride.

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Work Shown:

\(\begin{array}{|c|c|} \cline{1-2}\text{Number of People} & \text{Score}\\\cline{1-2}9 & 90\\\cline{1-2}18 & 80\\\cline{1-2}15 & 70\\\cline{1-2}\end{array}\)

Multiply across the rows to form a third column. Example: 9*90 = 810 in the first row.

\(\begin{array}{|c|c|c|} \cline{1-3}\text{Number of People} & \text{Score} & \text{Number*Score}\\\cline{1-3}9 & 90 & 810\\\cline{1-3}18 & 80 & 1440\\\cline{1-3}15 & 70 & 1050\\\cline{1-3}\end{array}\)

The values in the third column add to 810+1440+1050 = 3300

Divide this over the total number of people which is 9+18+15 = 42

The mean is 3300/42 =78.571 approximately which rounds to 78.6

Answer:

x = 41.5

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + 9 + x + 13 + x - 8 = 180 , that is

4x + 14 = 180 ( subtract 14 from both sides )

4x = 166 ( divide both sides by 4 )

x = 41.5

⇒The sum of the interior angles of a triangle is 180°

⇒Meaning (2x+9)°+(x-8)°+(x+13)°=180°

⇒Simplify the above equation to find the value of x.

⇒\(2x+x+x+9-8+13=180\\4x+14=180\\4x=180-14\\4x=166\\\frac{4x}{4} =\frac{166}{4} \\x=41.5\)

∴ x=41.5

Answer:

x = 4

Step-by-step explanation:

2x - 3(x - 2) = 2

distribute the -3

2x - 3x + 6 = 2

combine like terms

-x + 6 = 2

-x = -4

x = 4

Answer:

x=4

Step-by-step explanation:

2x-3(x-2)=2

Distributing

2x -3x+6 =2

Combine like terms

-x+6=2

Subtract 6 from each side

-x+6-6= 2-6

-x =-4

Divide by -1

x=4

The region R is given as the area bounded by the curves y = x, y = 2x + 2, x = 3, and x = 6.  To find the volume of the solid generated when R is revolved about the y-axis, we use the washer method.

Using the washer method, the volume of the solid generated is given by the expression:V=π∫ba(R(y)2−r(y)2)dywhere R(y) is the outer radius and r(y) is the inner radius.The curves y = x and y = 2x + 2 intersect at the point (−2,−4). Thus, we can see that the region R lies between the points (3,3) and (6,14).We will consider the curve y = x as the inner curve and the curve y = 2x + 2 as the outer curve.

Let us first find the equations of the curves in terms of y. We have:

x = y for y ∈ [3,6] and

x = (y − 2)/2 for y ∈ [6,14].Using the washer method, the volume of the solid generated is given by:

V=π∫614(2x+2)2−(x2)

dy=π∫614(4y2+8y+4)−y

2dy=π∫614(3y2+8y+4)

dy=π⎡⎣y33+y24+y+432⎤⎦

614=π[1072]So, the volume of the solid generated when R is revolved about the y-axis is π1072.

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a) Consumption = $17 billion.

b) Investment = $6 billion.

c) Phoenicia's government runs a budget deficit.

a. To find Phoenicia's consumption, we can use the equation:

Consumption = 60

P - Private Saving.

Given that private saving is $5 billion, and 60P is $22 billion, we can calculate:

Consumption = $22 billion - $5 billion

= $17 billion.

b. To find the country's investment, we need to subtract government purchases, transfer payments, and taxes from the GDP.

Since the government purchases are $7 billion, transfer payments are $2 billion, and taxes are also $7 billion, we can calculate:

Investment = GDP - (Government purchases + Transfer payments + Taxes)

= $22 billion - ($7 billion + $2 billion + $7 billion)

= $6 billion.

c. To determine if the government runs a budget surplus or a budget deficit, we can compare government purchases, transfer payments, and taxes.

Given that government purchases are $7 billion, transfer payments are $2 billion, and taxes are also $7 billion, we can calculate:

Budget surplus/deficit = Taxes - (Government purchases + Transfer payments)

= $7 billion - ($7 billion + $2 billion)

= -$2 billion.

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Answer:

Both are incorrect

Step-by-step explanation:

k12 math test 2.12 Quiz: Division Properties
Have a nice day and good luck  !! :]

Answer:

Initial value = 14.7

Rate of change = 0.445

Step-by-step explanation:

Given the linear function :

P(d) = 0.445d + 14.7

The linear equation above takes the general. Form of a slope - intercept equation :

y = mx + c

Where ; m = slope or gradient = rate of change in y per unit change in x

c = intercept , which is the intial value of y when x = 0

Thus using the above information ;

Initial value = intercept value = 14.7

The rate of change is the slope value = 0.445

Answer:

49/4 inches

Step-by-step explanation:

Inches below ground=  3 1/2 inches

Plant's full  height=15 3/4 inches

Height above ground = 15 3/4 inches -3 1/2 inches

63/4 - 7/2

63-14/4

49/4 inches

Answer:

My thought is 7, but I may be very well wrong.

Step-by-step explanation:

Answer:

(7x+7 )(x+1 )

Step-by-step explanation:

7x²+14x+7

(7x+7 )(x+1 )

7x²+7x+7x+7

7x²+14x+7

Answer: 7(1+x)^2

Step-by-step explanation: I got it wrong because of that person at the top your welcome

Answer:

diameter = 24 yards

Step-by-step explanation:

C = π·d

75.36 = 3.14d

d = 75.36/3.14

d = 24

A graph of the image of △PQR after a dilation with center (0, 0), a scale factor of 2, and a reflection across the y-axis is shown below.

In Geometry, a dilation is a type of transformation which typically changes the dimension (size) or side lengths of a geometric object, but not its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.

In this scenario an exercise, we would dilate the coordinates of the vertex at (3, 3) by applying a scale factor of 2 that is centered at the origin as follows:

P (-1, 1) → (-1 × 2, 1 × 2) = P' (-2, 2).

Q (-2, 3) → (-2 × 2, 3 × 2) = Q' (-4, 6).

R (-2.5, 1) → (-2.5 × 2, 1 × 2) = R' (-5, 2).

By applying a reflection over the y-axis to the vertices of triangle P'Q'R', we have the following transformed coordinate:

(x, y)                                              →                 (-x, y).

P' (-2, 2)                                        →                 P'' (2, 2)

Q' (-4, 6)                                        →                 Q'' (4, 6)

R' (-5, 2)                                        →                 R'' (5, 2)

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Complete Question:

Graph △P'Q'R', the image of △PQR by a dilation with center (0, 0), a scale factor 2, and a reflection across the y-axis.

The quiz consists of 40 problems and it solved by a linear equation.

What is the linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

Assume that the quiz consists of n problems.

Denise did 7/8 of the problems correctly.

If the total number of problems of the quiz is n, the number of answers that are correct is (7/8)× n.

The number of incorrect problems are 5.

Total number of problems those are done by Denise is { (7/8)× n}+5.

Assume that Denise attempts all problems.

Now making a linear equation:

{ (7/8)× n}+5 = n

(7n)/8+5 = n

(7n+40)/8 = n

(7n+40) = 8n

Subtract 7n from both sides:

7n+40 -7n = 8n - 7n

40 = n

The number of problems in the quiz is 40.

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Answer:

Danny does

Step-by-step explanation: 40 / 4 = 10

                                              85 / 5 = 17

10 is less than 17 meaning that Danny is offering a better deal.

Hope this helps!

Answer:

Danny

Step-by-step explanation:

Danny offers $40 for four hours and Martin has a deal of $85 for five hours of swimming lessons so i know that Danny has the beater deal.

Answer:

The pink box

Step-by-step explanation:

Answer:

light blue is what i got not so sure if it right tho

:P

Step-by-step explanation:

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

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

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x

Hence, the inequality is 0.059x < 0.49 + 0.019x

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Answer:

Step-by-step explanation:

mid point = [(a1 + a2)/2 , (b1 + b2)]

(a1,b1) = first point

(a2,b2) = end point

Using all x coordinates

(a1 + a2)/2 = 1

(-1 + a2)/2 = 1

-1 + a2 = 2

a2 = 3

Using all y coordinates

(b1 + b2)/2 = -1

(-3 + b2)/2 = -1

-3 + b2 = -2

b2 = -1

thus end coordinate = (3, -1)

Answer:

You haven't wrote your full question please write full question than I can answer it .

Answer:

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

or

or

Answer:

See below

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

y - y₁ = m(x - x₁)

y - 2 = - 1/2(x - 1)

or

y = -1/2x + 2 1/2

or

y = -0.5x + 2.5

give brainliest to me or to the person below or up bc I ctrl+c and ctrl+v

bc is soooo coool the other one lol

Given the utility function: u(c, l) = c + θ l → max c,lsubject to c = w(h − l) + D and 0 ≤ L ≤ h, the optimum is a function of h and w and is independent of θ

Constrained optimization problems require the use of the Lagrange multipliers.

For this case, we have:

L(c, l, λ) = u(c, l) + λ1 (c - w(h-l) - D) + λ2 (l - L) where λ1 and λ2 are the Lagrange multipliers.

we need to maximize the Lagrangian with respect to c, l, and λ.

Therefore;

∂L/∂c = 1 + λ1

∂(c - w(h-l) - D)/∂c = 0

∂L/∂l = θ - λ1 w

∂(c - w(h-l) - D)/∂l - λ2 = 0

and the constraints:

∂L/∂λ1 = c - w(h-l) - D = 0

∂L/∂λ2 = l - L = 0

We can rearrange the above equations to get c, l and λ:

λ1 = -1/wλ2 = 0l = Lc = w(h-L) + D

Now we can substitute the values of c and l into the Lagrangian, to get the final expression in terms of h and L.

After doing the calculus and simplification, we obtain the

Case 1: u(c, l) = c + θ l → max c,lsubject to c = w(h − l) + D and 0 ≤ L ≤ h

We get the following expression:

L(h, L) = (1/w)(w(h-L) + D) + θ L where λ1 = -1/w, λ2 = 0, l = L and c = w(h-L) + D

Substituting the above values in the Lagrangian, we get:

L(h, L) = (1/w)(w(h-L) + D) + θ L - (1/w)(w(h-L) + D) - 0(L - 0) = θ L - D/w - (1/w)wL

hence, we get the final expression, f(L) = L(θ - w) - D/w

The critical point is found by taking the derivative of f(L) and setting it to zero;

f'(L) = θ - 2wL = 0Therefore; L* = θ/2w, where L* is the optimal value of L

Substituting L* into the expression for c, we get:c* = w(h - L*) + Dc* = wh/2 + D

Consequently, the optimal value of c and l is given as c* = wh/2 + D and l* = θ/2w, while the value of the Lagrange multiplier is λ1 = -1/w, λ2 = 0.

Therefore, the optimum is a function of h and w and is independent of θ. Finally, we can derive the Conclusion which shows that the optimal choice of L is in the range 0 ≤ L ≤ h, thus the constraint is satisfied.

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Answer:

9 days

Step-by-step explanation:

32-2-2-2-2-2-2-2-2-2 = 14

The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given,

Initial cookie = 32

Since each day 2 cookies are eaten so after "d" days the total eaten cookies will be 2d.

Remaining cookies = initial cookies - eaten cookies

Remaining cookies  = 32 - 2d

The day when 14 cookies remain will be,

14 = 32 - 2d

2d = 32 - 14

d = 9

Hence "The equation that represents the day, d, when there are 14 cookies in the jar will be 14 = 32 - 2d, and that day will be on the 9th day".

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The equation of the parabola is ‘y² = 12x’.

Length of latus rectum = 12,

Vertex at origin and passing through the left side of the vertex.

Using the given information,we can find the focus of the parabola by using the formula:

Length of latus rectum = 4 × distance between focus and directrix

From the given data,

we have length of latus rectum as 12.

Now, Length of latus rectum = `4 × distance between focus and directrix`=> 12 = `4 × distance between focus and directrix`=> `distance between focus and directrix` = `12/4` = 3 units.

Now, since the vertex is at origin, the directrix will be `x = -3` as the focus is to the right of the directrix.

To find the equation of the parabola,we can use the standard form `y² = 4ax` of a parabola

where `a` is the distance between vertex and focus.

Substituting the values of vertex and focus, we get `a` as 3 units.

Now, `y² = 4ax`=> `y² = 4 × 3x`=> `y² = 12x`Therefore, the equation of the parabola is `y² = 12x`.

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Answer:

16 yards of barbed wire

Step-by-step explanation:

Length=5 yards

Width=3 yards

Perimeter of the pasture=2(length + width)

=2(5 yards +3 yards)

=2(8 yards)

=16 yards

You should order 16 yards of barbed wire for fencing the pasture

The solution of the system of equation is (5, 8).

We want to find the ordered pair that is a solution of both equations:

3y + x = 29

y = -4x + 28

So we have a system of equations.

To do so, we can use the substitution method and replace the second equation into the first one.

3*(-4x + 28) + x = 29

Now we can solve this for x, we will get:

3*(-4x + 28) + x = 29

-12x + 84 + x = 29

-11x = 29 - 84

-11x = -55

x = 55/11 = 5

And the y-value is given by evaluating one of the two equations in x = 5.

y = -4*5 + 28

y = 8

The solution is (5, 8).

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Answer:

58

Step-by-step explanation:

B=base

A=side

X=2(a+b)=2·(13+16)=58

Step-by-step explanation:

58 maybe coz I got 58 so??

Answer: 2

Step-by-step explanation: