Help Which of the following could be an algebraic expression for the total cost of dinner, less a $10 coupon, divided by 4 people?

(x − 10) ÷ 4
4x − 10
10 − 4x
4x(10)

a resposta para a sua pergunta é 2.5 esperança que ajuda por favor marcar como mais inteligente se correto obrigado

The steady-state temperature distribution of the rod is a quadratic function of z and has a maximum temperature of 150 at z = L/3.

Given modelled rod is L[u]a’Uzz – Ut = 0 with the boundary conditionsu(0,t) = ui, u(L,t) = 12, 0, to answer the following for the heat conduction problem for a rod:What is the steady-state temperature distribution of the rod? For steady-state conditions, the temperature doesn't change with time. The time derivative Ut is zero.

Therefore, the governing equation is simplified to the form of: a’Uzz = 0This differential equation is a second-order ordinary differential equation, which can be solved using integration twice: Uzz = c1x + c2The boundary conditions can be used to evaluate the constants c1 and c2.

Apply the first boundary condition:u(0,t) = uiUz(0) = 0So, the first integration of the equation with respect to z yields:Uz = c1/2 z^2 + c2z + c3Let Uz = 0 at z = 0; c3 = 0 Also, the other boundary condition u(L,t) = 12gives us the following:Uz(L) = 0Hence, the constants are:c1 = -2 (12 - ui) / L^2c2 = 2(12 - ui) / L

Now, the equation becomes: Uz = 2(12 - ui) / L z - (12 - ui) / L^2 z^2The second integration with respect to z yields: U = (12 - ui) / L z^2 - (12 - ui) / (3L^2) z^3 + C1z + C2C1 and C2 are constants which can be found by applying additional boundary conditions or initial conditions. However, this is not required to answer the question of finding the steady-state temperature distribution of the rod. Therefore, we can ignore C1 and C2 in this case. The steady-state temperature distribution of the rod is given by:U = (12 - ui) / L z^2 - (12 - ui) / (3L^2) z^3.

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Answer: The 2 Plan will have same cost of $2149 after 64 sessions.

Let the Two plan be Plan A and Plan B.

Also let the number of session be

According to given detail

Plan A =

Plan B =

We need to find the value of when both are equal.

Plan A = Plan B

=

Solving above equation we get;

Number of session are 64.

Cost after 64 session will be,

Plan A =

Plan B =

Hence The 2 Plan will have same cost of $2149 after 64 sessions.

Step-by-step explanation:

( 100 / 88 ) * 924 = original price

( 100 / 88 ) * 924 = $1050

The least number of seats the manger could order to 270 seats

The information that the the seats are sold only in groups of 10 will help to know that the order will be in a multiple of 10.

The manager wants to order 267 seats and this is not a multiple of 10 the nearest multiple of 10 is 270.

This is because, 260 will be short of want the manager want however ordering for 270 will be in excess with three seats.

Hence the manager will order 270 and heave 3 extra seats

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Answer:

  14(y -7/2) = (x -5)²

Step-by-step explanation:

You want an equation for the parabola with focus (5, 7) and directrix y=0.

The vertex of a parabola is halfway between the focus and the directrix. When the directrix is a horizontal line, the y-coordinate of the vertex is the average of the y-coordinates of the focus and directrix. The x-coordinate of the vertex is the same as that of the focus.

The scale factor in the vertex form equation is 1/(4p), where p is the distance from the vertex to the directrix.

Here, the vertex y-coordinate is (7+0)/2 = 3.5. The vertex x-coordinate is 5. The distance from the vertex to the directrix is 3.5 -0 = 3.5.

Then the vertex form equation for the parabola can be written as ...

  y = a(x -h)² +k . . . . . . . . parabola with scale factor 'a' and vertex (h, k)

  y = 1/(4·3.5)·(x -5)² +3.5 . . . . . parabola with scale factor 1/(4·3.5) and vertex (5, 3.5)

The fraction can be eliminated to give the form ...

  14(y -3.5) = (x -5)²

Chance that the first card is a 9: 4/52 or 1/13

Chance that the second card is a 9: 3/52

Total probability is 1/13 • 3/52 ≈ 0.00443786982249

0.004438 or 0.4438%

Answer:

6

Step-by-step explanation:

A = π. r²

36π = π. r²

eliminate π, we get:

36=r²

r=√36

r = 6

Answer:

r = 6

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Given A = 36π , then

πr² = 36π ( divide both sides by π )

r² = 36 ( take the square root of both sides )

r = \(\sqrt{36}\) = 6

Answer:

Please check explanations

Step-by-step explanation:

Slopes are generally the ratio of rise(vertical difference) to fall (horizontal difference) for set of points lying on a straight line

Positive slopes show a positive relationship between the two things we are considering while a negative one shows otherwise

They are the same in the sense that they actually represent a constant change between the coordinates of the points in the relationship we are considering.

They are different in the sense that while one represents a positive change, whereby both axes move in the same direction ( rise at same rate, fall at same rate) , the second represent a relationship in which they move in opposite directions. While one falls, the other rises and while the other rises, the second one falls which indicates an opposing movement type between the two

The center of the circle is (2, 4)

To find the center of the circle with the equation \(x^2\) + \(y^2\) - 4x - 8y - 5 = 0, we can rewrite the equation in standard form.

The standard form for the equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.

To convert the equation \(x^2\) + \(y^2\) - 4x - 8y - 5 = 0 to standard form, we can complete the square.

First, we can rewrite the equation as x^2 - 4x + y^2 - 8y - 5 = 0.

To complete the square, we need to add and subtract the square of half of the coefficient of the x term and the square of half of the coefficient of the y term. In this case, we add and subtract $(-2)^2 = 4$ and $(-4)^2 = 16$.

So the equation becomes x^2 - 4x + 4 + y^2 - 8y + 16 - 4 - 16 = 0, which simplifies to \((x-2)^{2}\) + \((y-4)^{2}\) = 5.

Therefore, the center of the circle is (2, 4)

The complete question is:-

What is the center of a circle given that its general form is x2+y2−4x−8y−5=0?

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The 3 different polynomial equations are linear polynomial equations, quadratic polynomial equations, and cubic polynomial equations.

A polynomial equation is one where a polynomial is set equal to zero. i.e., it is an equation created with variables, non-negative integer exponents, and coefficients together with operations and an equal sign.

A polynomial equation is always like "polynomial = 0". Algebraically, it is of the form p(x) = aₙ xⁿ + aₙ₋₁ xⁿ⁻¹ + ... + a₁ x¹ + a₀x⁰ = 0, where

aₙ, aₙ₋₁, ...., a₁, a₀ are coefficients and all these numbers are real numbers.

'x' is the variable.

p(x) means "polynomial in terms of variable x"

'n' is a non-negative integer, it is the degree of p(x).

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Answer:

-4

Step-by-step explanation:

plug in 3 for x

2(3)-10

6-10

=-4

Answer:

7525 milliliters

Step-by-step explanation:

because if you multiply 2150 by 3.5 you will get that number

The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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To find the cooling rate of the car, we need to determine the temperature decrease per unit of time.

Given that the car overheats at 280°F and can be driven again at 230°F, we can calculate the temperature difference:

Temperature difference = overheating temperature - driving temperature
Temperature difference = 280°F - 230°F
Temperature difference = 50°F

Since the cooling rate of the car is not explicitly given, we cannot directly determine it. However, we can make some assumptions based on the information provided.

Assuming that the cooling rate is linear, we can calculate the temperature decrease per degree Fahrenheit.

Temperature decrease per degree Fahrenheit = temperature difference / (overheating temperature - outside temperature)
Temperature decrease per degree Fahrenheit = 50°F / (280°F - 80°F)
Temperature decrease per degree Fahrenheit = 50°F / 200°F
Temperature decrease per degree Fahrenheit = 0.25°F

Therefore, the cooling rate of the car would be 0.25°F per degree Fahrenheit.

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Answer:

1.05

Step-by-step explanation:

Answer:

u;t5g3ji/lfvjk.dvnjfvjk.f

Step-by-step explanation:

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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Answer:

12 y

Step-by-step explanation:

π. x².y = ⅓. π (½x) ².h

=> eliminate π,

x²y = ⅓. ¼x².h

=> eliminate x²,

y = 1/12 h

h = 12 y

so, height of the cone = 12 y

sin I=opposite/hypothesis

sin I=√57/10

sin I=0.754983

=0.75

Answer:

c. Quadrant III

Step-by-step explanation:

just took test on edg, I got a 100%

Answer:

C.

Step-by-step explanation:

Step-by-step explanation:

180(n-2)/n=90 ( this is the solution for the 90)

cross multiplying

180n-360=90n

180n-90n=360

90n=360

90n/90=360/90

n=4, the number of sides for the polygon with 90° is 4 sides

Solution for 100°

180(n-2)/n=100

180n-360=100n

180n-100n=360

80n=360

80n/80=360/80

n=4.5

Same applies to the rest 110°,125° ,150°,175°

Answer:

I am pretty sure that it is 4.

Step-by-step explanation: Got it right on edge2020

Answer:

4

Step-by-step explanation:

i took on edge

Answer:

1. n+3

2. x+6

Step-by-step explanation:

1. Whenever you hear the word sum, it means to add. So when you add n and 3 together, you get n+3

2. When you say more than, it also means to add. So when you add 6 and x together, you get x+6

I hope this helps!

Answer:

y = -3x + 9

Step-by-step explanation:

−6x − 2y = −18

+6x            +6x

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

-2y = -18 + 6x

/-2        /-2

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

y = 9 - 3x

y = -3x + 9 ---> this is your slope-intercept form

Answer:

3/2

Step-by-step explanation:

The first step is finding two points. (4,6) and (0,0) are two easy points to use.

To find the slope, find the change of y over the change of x.

(6-0)/(4-0) = 6/4 = 3/2

The expression that best describes the length of the rectangle, given that the area is 2\(c^2\) - 5c - 3 and the width is c - 3, is (2\(c^2\) - 5c - 3) / (c - 3).

To find the length of a rectangle, we need to divide the area by the width. In this case, the area of the rectangle is given as 2\(c^2\) - 5c - 3, and the width is c - 3. Dividing the area by the width gives us the length.

By using polynomial long division, we divide 2\(c^2\) - 5c - 3 by c - 3. The result of this division gives us the expression for the length of the rectangle: (2\(c^2\) - 5c - 3) / (c - 3).

It's important to note that this expression is valid as long as the width, c - 3, is not equal to zero. If c - 3 equals zero, then the width would be undefined, and the length of the rectangle would not be defined either.

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Using the concept of algebraic expression it can be concluded that the small number is 17 and the larger number is 28.

In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.

Sum of two numbers = 45

Let the small number be x.

So, the larger number will be 11 + x.

As we know, sum of two numbers = 45

(x) + (x+11) = 45

2x + 11 = 45

Subtract 11 from the both sides of the answer to obtain:

2x + 11 - 11 = 45 - 11

2x = 34

Dividing both sides by 2.

x = 17

So, the small number is 17, therefore the larger number will x + 11 or 11 + 17 = 28.

Therefore, the smaller number is 17 and the larger number is 28.

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