a study of the demand for air travel between two cities depends on the airfare according to the following demand equation. q=55.9−0.023p
a. Find the elasticity when the price is
​$166.08.

The area of the of the triangle to the nearest whole number is 140mm²

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The formula for the area of a triangle is: A = (1/2)bh

where A is the area of the triangle, b is the base of the triangle, and h is the height of the triangle.

The area of the triangle given in the figure will be 1/2 * b*h

A = 1/2*14*20

A = 140mm²

Hence the area of the triangle to the nearest whole number is 140mm².

Learn more about triangles, by the following link

brainly.com/question/17335144

#SPJ1

Answer:

35/48

Step-by-step explanation:

You just want to focus on the 8th graders. Add add the total number of students together to get your denominator. Then just put what your # of  bass students are and that is your probability in fraction form. ( the fraction can't be simplified smaller than it already is.)

Answer:

$23.64

Step-by-step explanation:

Answer:49

Step-by-step explanation: The square root of a number is a number that, when multiplied by itself, equals the desired value. So, for example, the square root of 49 is 7 (7x7=49). The process of multiplying a number times itself is called squaring.

Answer:

Step-by-step explanation:

\(S^{2}\)  is   ( \(q^{2}\)\(r^{3}\))^2

then

A = \(q^{2*2}\)\(r^{3*2}\)

A = \(q^{4}\)\(r^{6}\)

this looks much better   than r^ some big number :D  

Answer:

z= -1

Step-by-step explanation:

2z=16-18

2z= -2

z= -1

Answer:

2z=16-18

2z=-2

z=-1

Step-by-step explanation:

16-18=-2

and then divide by 2z on both sides

Answer: 2 seconds

Step-by-step explanation:

An object take 2 seconds to reach to the ground. option A is correct.

An object that is projected straight downward with initial velocity v feet pee second.
s = vt + 16t2
s = 84 feet and v = 10

Velocity is ratio of displacement to the time.

We have equation.
s = vt + 16t2
Now, put s =  84 and v = 10
84 = 10t+16t2
8t2+10t-42=0
Taking roots of equation.
We get t = 2 and -21/8
Since time couldn't be negative.
So,
t = 2  

Thus, An object take 2 seconds to reach to the ground.

Learn more about Velocity here:
https://brainly.com/question/18084516

#SPJ2

Answer: 57.8

Step-by-step explanation:48.7 seconds + 49.3 seconds.= 57.8

Answer: 1 : E: -1, 1. F: -5,2. G: -4, 4. H: -3, 0.

2.: U:4,2 V: 4, -2. W: 1, -2

Step-by-step explanation:

I'm pretty sure thats correct, forgive me if I'm wrong.

The probability of 3 dying of SIDS in this situation is approximately 0.000227. The number of SIDS cases in this hospital is significantly higher than the expected rate.

a. The probability of 3 infants dying of SIDS in this situation can be calculated using the binomial probability formula:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) is the probability of k successes (SIDS cases) in n trials (infants),
C(n,k) is the number of combinations of n items taken k at a time,
p is the probability of SIDS (0.0001),
n = 100 infants,
k = 3 SIDS cases.
P(3 SIDS cases in 100 infants) = C(100,3) * (0.0001)^3 * (1-0.0001)^(100-3)
After calculating, the probability is approximately 0.000227.

b. In this situation, it is alarming that many infants died of SIDS, as the probability of 3 deaths in 100 infants is very low (0.000227), much lower than the prevalence of 0.01%. This indicates that the number of SIDS cases in this hospital is significantly higher than the expected rate.

Learn more about probability here: brainly.com/question/30034780

#SPJ11

Gauss-Jordan Elimination is a technique for solving systems of linear equations and for determining the inverse of any invertible matrix.

Gauss-Jordan Elimination is a method for finding the inverse of any invertible matrix and for solving systems of linear equations. It is based on the three simplest row operations one may do on a matrix: Place two of the rows in opposite positions. A nonzero scalar multiplied by one of the rows

Since a similar version was described by Wilhelm Jordan in 1888 in his book "Handbuch der Vermessungskunde" independently of B. I. Clasen, who published something similar in the same year, the procedure known as Gauss-Jordan elimination for converting a matrix into reduced echelon form also includes the name Jordan.

This method, which is also known as row reduction, has two steps: forward elimination and back substitution. These two Gaussian elimination method steps differ from one another not by the operations that can be performed through them but rather by the outcome that is obtained.

To learn more about Gauss-Jordan elimination refer to:

https://brainly.com/question/12090959

#SPJ4

The minimal number of employees who did not get their preferred shift that week was 20.

Out of 50, 40% are on the day shift = 0.4*50 = 20 & 60% are on the night shift = 30.

But, 80% of 50 prefer day shift = 0.8*50 = 20 & 20% of 50 prefer night shift = 10.

We need to find the minimum no. of people who did not get their desired shift. Since slots for the night shift(30) are greater than the people who desired it (10). We can assume that among those 30-night shift slots, 10 were occupied by the ones who wanted the night shift. So, whoever wanted the night shift got the night shift.

But, for the day shifts the no. of slots (20) is less than the number of people who desired it (40). So, there are going to be 20 people who did not get what they desired.

Thus, 20  is the minimum number of staff members who failed to receive her preference of shift that week.

To learn more about the unitary method to solve these types of questions, refer to the link:brainly.com/question/22056199

#SPJ4

The cone should have its maximum volume. V=1/*3r2h is the formula for calculating the volume V of a cone with height h and radius r.

The cone has a volume of

V=πr2h/3

Therefore, we must calculate the values of r and h in terms of R. R is the diameter of the cone's top-circular circle, and h is the cone's height.

R is the cone's slant height, and it serves as the hypotenuse of a right triangle.

R2 = h2 + r2, or r2 = R2-h2.

So V = (1/3)π

[R2-h2]

h = (π/3)[R2h-h3]

You must take the derivative of the cone's volume, set it to zero, then solve for h to determine the cone's maximum volume.

dV/dh=(π/3)[R2-3h2]

R2-3h2=0 --> h2=R2/3 -> h = R/√3

Now we can determine r:

r2=R2-R2/3 = (2/3)R2

The volume formula with r and h substituted:

V = (π/3)

r2h = (π/3)(2R2/3)

(R/√3)

V(R)=2πR3/(9√3)

The complete question is:

A cone-shaped drinking cup is made from a circular piece of paper of radius R by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup (Your answer may depend on R).

To learn more about volume of the cone refer to:

https://brainly.com/question/1082469

#SPJ4

Answer:

the answer is a

tell me if it’s rite or wrong I did the work as best as I could

f(10) is undefined.

"It is the set of points on the coordinate plane which satisfies the given function."

For given question,

We need to find the value of a function at x = 10.

We can observe that, when x = 10, the function value 2 is denoted by an open circle.

This means the function do not have value 2 when x = 10

Therefore, f(10) is undefined.

Learn more about the function here:

https://brainly.com/question/13461298

#SPJ2

Answer:

1000=1×10^3

98000=9.8×10^4

\(\huge\boxed{\boxed{\textbf{Hi\:there!}}}}\)

First of all, when we convert numbers to scientific notation, we should recall what scientific notation looks like.

A number in scientific notation looks like that:

____x10^-

____ is the coefficient (it should always be between 1 and 10)

- is the exponent.

1,000 in Scientific notation looks like so:

10x10^2

Now, the exponent doesn't mean that we multiply 10 times 10. It means we take 10 and move the decimal point 2 units to the right (the positive exponent indicates that we move the decimal point to the right)

98,000 in Scientific notation looks like so:

9.8x10^4

\(\huge\boxed{\boxed{\sf{Hope\:this\:helps\:you!:)}}}\)

\(\large\textbf{Good\:luck!}\)

\(\large\mathfrak{LoveLastsAllEternity}\)

The graph of the function f(x) = \(x^3 - 3x^2 + 3x - 5\) has a horizontal tangent at x = 1.

To find the value of x at which the graph of the function has a horizontal tangent, we need to determine when the derivative of the function is equal to zero. The derivative of f(x) with respect to x can be found by differentiating each term of the function. Taking the derivative, we get f'(x) = 3\(x^{2}\) - 6x + 3.

To find the x-values where the derivative is equal to zero, we set f'(x) = 0 and solve for x. Setting 3\(x^{2}\) - 6x + 3 = 0, we can factor out a common factor of 3 to simplify the equation to x^2 - 2x + 1 = 0. This equation can be further factored as \((x - 1)^2\) = 0.

The equation \((x - 1)^2\) = 0 has a double root at x = 1, which means the graph of f(x) has a horizontal tangent at x = 1. This indicates that the slope of the tangent line at x = 1 is zero, resulting in a horizontal tangent. Therefore, the answer is x = 1.

Learn more about function here:

https://brainly.com/question/29001364

#SPJ11

Answer:

x > 7

Step-by-step explanation:

If you look at the changes in degrees, you will see it get bigger on the bottom! That means the 7 will become smaller! Your Welcome!

Answer:

the answer is B bro

Step-by-step explanation:

Step-by-step explanation:

\(y = -\frac{2}{3}x + 4\)

\(y = \frac{1}{3}x - 2\)

Since both equations are set equal to \(y\), we can take the right-hand side of each equation and set them equal to each other to solve for \(x\):

\(-\frac{2}{3}x + 4 = \frac{1}{3}x - 2\)

\(-\frac{2}{3}x - \frac{1}{3}x = -2 - 4\)

\(-x = -6\)

\(x = 6\)

Now we can plug this value into either equation to solve for \(y\):

\(y = \frac{1}{3}x - 2\)

\(y = \frac{1}{3}(6) - 2\)

\(y = 2 - 2\)

\(y = 0\)

So the solution to the system of equations is \((6, 0)\)

In a primitive Pythagorean triple, the sides a, b, and c are all integers, and they satisfy the equation a^2 + b^2 = c^2.

Now, let's assume that neither x nor y is divisible by 3. This means that x and y can only be 1, 2, 4, 5, 7, or 8 modulo 3. Therefore, x^2 and y^2 can only be 1 or 4 modulo 3. Now, let's consider the equation a^2 + b^2 = c^2 mod 3. If a and b are both 1 or both 2 modulo 3, then their squares will add up to 2 modulo 3, which is not a quadratic residue. Therefore, one of a and b must be 0 modulo 3, and hence, c must also be divisible by 3. We assumed that neither x nor y is divisible by 3. We then looked at the possible residues of x and y modulo 3 and saw that they can only be 1, 2, 4, 5, 7, or 8 modulo 3. We then used the fact that the sum of two quadratic residues is not a quadratic residue modulo 3, and concluded that one of a and b in the Pythagorean triple must be divisible by 3.

In conclusion, either x or y in a primitive Pythagorean triple must be divisible by 3. This is a result of the fact that the sum of two quadratic residues is not a quadratic residue modulo 3.

to know more about quadratic visit:

brainly.com/question/22364785

#SPJ11

a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d.  U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.

a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:

At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.

Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin

d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct).

This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.

This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.

for such more questions on  equation

https://brainly.com/question/17145398

#SPJ8

The following ages combination is possible -

[A] = 17 and [B] = 6

or

[A] = 6 and [B] = 17

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is sum of the ages of A and B as 23 years and their product is 102 years.

Assume that the age of A is [x] years and of B is [y] years. So, we can write -

x + y = 23

xy = 102

Refer to the graph attached. It shows two points of intersection as -

(17, 6)  and  (6, 17).

Therefore, the following ages combination is possible -

[A] = 17 and [B] = 6

or

[A] = 6 and [B] = 17

To solve more questions on equation modelling, visit the link below-

brainly.com/question/6593383

#SPJ2

[Question translation in english -

The sum of the ages of A and B is 23 years and the product is 102 years. find both ages.]

The values of the expression at the domain {-2, 3} are {-8, 4}

The expression is given as

2x^2 + 3x - 10

The domain of the function is given as

{-2, 3}

Rewrite the domain as

x = {-2, 3}

Next, we substitute these values of x in the expression 2x^2 + 3x - 10

So, we have

x = -2:⇒ 2(-2)^2 + 3(-2) - 10 = -8

x = 2:⇒ 2(2)^2 + 3(2) - 10 = 4

Hence, the values of the expression at the domain {-2, 3} are {-8, 4}

Read more about domain at

https://brainly.com/question/2264373

#SPJ1

Answer:

$104.9

Step-by-step explanation:

If there's no tricks to this problem it should just be 20.98 • 5.

If she bought 5 towels that where $20.98

it's 104.9

ps Marie's mom needs to find cheaper towels

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

Answer:

y = -2x + 9

Step-by-step explanation:

The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

The line intersects the y-axis at 9, thus b = 9.
The slope formula is rise/run. The line falls 2 and runs 1, thus m = -2/1, or -2.

y = -2x + 9

Answer:

140=7×2×2×5

Step-by-step explanation:

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)