A mountain climber camped at an elevation of 18,492 feet. The following day the climber descended 2,516 feet to another campsite. Write a numerical expression you can evaluate to find the elevation of the second campsite. Then find the elevation.

1. The elevation is -15,976 feet
2. The elevation is 15,976 feet
3. A good expression would be -18,492 + 2,516
4. The elevation is 21,008 feet
5. The elevation is -21,008 feet
6. A good expression would be 18,492 + 2,516
7. A good expression would be 18,492 + -2,516
8. A good expression would be -18,492 + -2,516

The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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The polynomial approximate values are

a. The linear approximating polynomial is p1(x) = 2 - x

b.The quadratic approximating polynomial is  p2(x) = x² - 3*x + 3

c. The approximating polynomial value is p1(0.97) = 1.03; p2(0.97) = 1.0309

According to the statement

we have given that the f(x) = 1/x

And we have to find that polynomial approximate values which are written below

The linear approximating polynomial And quadratic approximating polynomial And approximate the given quantity of polynomials obtained in parts a. and b.

So, the given function is f(x) = 1/x

And

f'(x) =  -1/x²

f''(x) = 2/x³

a = 1

Now, we find the linear approximating polynomial

So,

a. The linear approximating polynomial is:

p1(x) = f(a) + f'(a)*(x - a)

p1(x) = 1/1 + -1/1² * (x - 1)

p1(x) = 1 - x + 1

p1(x) = 2 - x

And Now, we find the quadratic approximating polynomial

So,

b. The quadratic approximating polynomial is:

p2(x) = p1(x) + 1/2 * f''(a)*(x - a)²

p2(x) = 2 - x + 1/2 * 2/1³ * (x - 1)²

p2(x) = 2 - x + (x - 1)²

p2(x) = 2 - x + x² - 2*x + 1

p2(x) = x² - 3*x + 3

And Now, we find the approximating polynomial value

So,

c. approximate 1/0.97 using p1(x)

p1(0.97) = 2 - 0.97 = 1.03

approximate 1/0.97 using p2(x)

p2(0.97) = 0.97² - 3*0.97 + 3 = 1.0309

So, The polynomial approximate values are

a. The linear approximating polynomial is p1(x) = 2 - x

b.The quadratic approximating polynomial is  p2(x) = x² - 3*x + 3

c. The approximating polynomial value is p1(0.97) = 1.03; p2(0.97) = 1.0309.

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Disclaimer: This question was incomplete. Please find the full content below

Question:

A. Find the linear approximating polynomial for the following function centered at the given point a. b. Find the quadratic approximating polynomial for the following function centeredat the given point a. c. Use the polynomials obtained in parts a. and b. to approximate the given quantity.

f(x)=1/x, a=1; approximate 1/0.97

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Answer:C) She would have $216.88.

Step-by-step explanation:

A) Deposits:  +34.98; +51.02; +51.22

Withdrawals:  -5.23; -5.22; -7.89

B) -7.89, -5.23, -5.22, +34.98, +51.02, +51.22

The smallest amount will be the largest withdrawal, as it takes away from the account; the largest amount will be the largest deposit, as it adds to the account.

98 + 34.98 = 132.98 + 51.02 = 184.00 + 51.22 = 235.22 - 7.89 = 227.33 - 5.23 = 222.10 - 5.22 = 216.88

Step-by-step explanation:

ghsusvzbsisieb ujdidjd ki kdjd jarq. id dhdb

Answer: Use a variable

w

to represent the width of the room.

From the given information find that

10

w

=

80

, hence

w

=

8

.

So the room is

8

meters by

32

meters.

Explanation:

Let

w

represent the width of the room in meters.

Then the length of the room is

4

w

.

So the perimeter of the room is

w

+

4

w

+

w

+

4

w

=

10

w

.

Given that the perimeter is

80

meters, that translates as:

10

w

=

80

Divide both sides by

10

to get

w

=

8

.

Hence the width of the room is

8

meters and the length is

4

w

=

32

meters.

Step-by-step explanation:

The dimensions of the room are 5 meters long and 5 meters wide.

The perimeter of a rectangular room is equal to twice the sum of its length and width. In this case, the perimeter of the rectangular room is equal to 2 x (length + width) =  10 meters.

Therefore, we can write:
2 x (L + W) = 10

To find the dimensions of the room, we need to solve the equation for L and W.
L + W = 5
L = 5 - W

Substitute this equation for L in the original equation:
2 x (5 - W + W) = 10
2 x (5) = 10
10 = 10

Therefore, L = 5 and W = 5, so the dimensions of the room are 5 meters long and 5 meters wide.

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Answer:

50 grams

Step-by-step explanation:

You simply subtract 70 from 120, and get 50.

Answer:

40 Grams!! i got it wrong and this was the answer

Step-by-step explanation:

Answer:

1/6

2/6 or 1/3

Step-by-step explanation:

Answer:

The distance formula is 22.360679775

if you round it to the nearest tenth, then the answer is 22.4

Step-by-step explanation:

(-6, -12) and (4,8)

(x2 - x1)² + (y2 - y1)²

Place the x and y values

(4 - - 6)² + (8 - - 12)²

= 10² + 20²

= 100 + 400 = 500

√500 = 22.360679775

Round it to the nearest tenth, and you will get 22.4

Hope this helps!

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Answer: Distance = 10√2

Step-by-step explanation:

Given formula

\(Distance~=~\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Given information

(x₁, y₁) = (-6, -12)

(x₂, y₂) = (4, 8)

Substitute given information into the formula

\(Distance~=~\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(Distance~=~\sqrt{((4)-(-6))^2+((8)-(-12))^2}\)

Simplify values in the parenthesis

\(Distance~=~\sqrt{(4+6)^2+(8+12)^2}\)

\(Distance~=~\sqrt{(10)^2+(20)^2}\)

Simplify the exponents

\(Distance~=~\sqrt{100+400}\)

Simplify the radical number

\(Distance~=~\sqrt{500}\)

\(Distance~=~\Large\boxed{10\sqrt{5}}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

C. 4x²

Step-by-step explanation:

8x^4 = 2 × 2 × 2 × x × x × x × x

12x³ = 2 × 2 × 3 × x × x × x

20x² = 2 × 2 × x × x

Look at the factors. Which factors do both numbers have?

They are in bold below.

8x^4 = 2 × 2 × 2 × x × x × x × x

12x³ = 2 × 2 × 3 × x × x × x

20x² = 2 × 2 × 5 × x × x

The common factors are 2, 2, x, x.

The GCF = 2 × 2 × x × x = 4x²

Answer: C. 4x²

The solution of the given algebraic expression using  addition principle is: r = 18

The addition property of equality is an algebraic property which states that when we add the same number to both sides of an equation, then it means that the two sides remain equal. This can be written as:

if a = b, then a + c = b + c.

Now, we are given the expression as:

r + (-8) = 10

Add 8 to both sides by addition property of equality to get:

r + (-8) + 8 = 10 + 8

r - 8 + 8 =  18

r = 18

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Answer:

Step-by-step explanation:

bro i dont know sory

Answer:

The number increased by 25%.

Step-by-step explanation:

If you divide 32 into 40 (40 / 32), it will get you 1.25.

Subtract 1 from 1.25 (1.25 - 1.00) and you'll get 0.25.

0.25 is a 25% increase

Responder:

$ 131.25

Explicación paso a paso:

Dado que :

Importe pagado tras sucesivos descuentos del 10% y 20%

Sea el costo original = x

Importe final tras ambos descuentos = 94,5

Primer descuento = (1 - 0.1) x = 0.9x

Segundo descuento: (1 - 0.2) de 0.9x = 0.8 de 0.9x = 94.5

Es decir ; 0,8 * 0,9x = 94,50

0,72x = 94,50

Dividir ambos lados por 0,72

0,72x / 0,72 = 94,50 / 0,72

x = 131,25

Por lo tanto, precio original = $ 131.25

We will find the return as follows:

Here AR is the annual return, FVI is the final value of investment and IVI is the initial value of investment and n is the number of years. Now, we replace:

So, the annual return is approximately 1.03.

Answer:

The formula for the area of a circle is:

A = πr^2

where A is the area and r is the radius.

In this case, we are given that the area is 4π cm². Solving for the radius, we get:

4π = πr^2

r^2 = 4

r = 2

So the radius of the circle is 2 cm.

The formula for the circumference of a circle is:

C = 2πr

Plugging in the value for the radius, we get:

C = 2π(2) = 4π

Therefore, the circumference of the circle is 4π cm.

Answer:

6

Step-by-step explanation:

2/3, 1 1/3, 2, 2 2/3, 3 1/3, 4

Answer:

12 minutes

2 times 60=120

Step-by-step explanation:

x will be 0

y will be -2

thats the answer babe

The important resonance structures for the given ion must be drawn, showing all lone pairs of electrons, formal charges, double bonds, and electron flow arrows.

Resonance structures are alternative representations of a molecule or ion that differ only in the placement of electrons. They are important in understanding the stability and reactivity of organic compounds. In this case, we are asked to draw the important resonance structures for a specific ion.

To start, we need to identify the ion and its molecular formula. Once we have that information, we can determine the possible resonance structures. Each resonance structure is a valid Lewis structure that obeys the octet rule and maintains the overall charge of the ion.

To draw the resonance structures, we begin by placing the atoms in their correct positions and adding lone pairs of electrons as needed. Next, we identify any double bonds or formal charges present in the original ion.

Using curved arrows, we show the movement of electrons to generate alternative resonance structures. The movement of electrons can involve breaking and forming bonds, as well as the shifting of lone pairs.

By drawing all the important resonance structures, we gain a better understanding of the electron distribution and the stability of the ion. This knowledge is crucial for predicting the reactivity and behavior of the compound.

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The difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.

The variability in golf scores for players on the LPGA Tour and the PGA Tour can be measured using the standard deviation. To calculate the standard deviation, the squared differences between each score and the mean score must be calculated and then averaged. Then, the square root of this average must be taken.

Formula:

Standard Deviation =√((x1–μ)2+(x2–μ)2+...+(xn–μ)2)/n

Where:

x1, x2, ..., xn are the individual observations

μ is the mean

n is the number of observations

In this case, the sample of tournament scores from LPGA events showed a standard deviation of strokes and the sample of tournament scores from the PGA Tour showed a standard deviation of strokes. The difference between the two standard deviations can then be calculated by subtracting the LPGA standard deviation from the PGA standard deviation.

Therefore, the difference in the variability in golf scores for players on the LPGA Tour and players on the PGA Tour can be calculated by subtracting the standard deviation for the LPGA Tour from the standard deviation for the PGA Tour.

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Complete question

Is there any difference in the variability in golf scores for players on the LPGA Tour (the women's professional golf tour) and players on the PGA Tour (the men's professional golf tour)?

Answer:

150= price of each Sneaker

10= amount of money you started with

x=Number of Sneakers

Step-by-step explanation:

Completely factored expressions are:

1. x² - 7x - 18 can be factored as:

(x - 9)(x + 2)

Expand the expression using FOIL:

(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18

2. p² - 5p - 14 can be factored as:

(p - 7)(p + 2)

Expand the expression using FOIL:

(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14

3. m² - 9m + 8 can be factored as:

(m - 1)(m - 8)

Expand the expression using FOIL:

(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8

Therefore, the completely factored expressions are:

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The correct answer is A. "Is". If lim _{x arrow 0} f(x)=4 and f(0)=4 , then f(x)  "IS" continuous at x=0 .

To determine whether a function is continuous at a specific point, we need to check if three conditions are satisfied: (1) the function is defined at that point, (2) the limit of the function as x approaches that point exists, and (3) the value of the function at that point matches the limit.

In this case, we are given that lim_(x→0) f(x) = 4 and f(0) = 4. The limit exists and is equal to the value of the function at x = 0, satisfying conditions (2) and (3). Additionally, since f(0) = 4, we know that the function is defined at x = 0, satisfying condition (1).

Therefore, all three conditions for continuity at x = 0 are met, indicating that f(x) is continuous at x = 0. Hence, the correct answer is A. "Is".

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Solving the question asked, we can say: If you win tonight, your odds of winning the next game are \($58.33\%$\). After that, if you lose, you have a \($38.88 \%$\) chance of winning the game.

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the disease that a particular event will occur. Another way to express probability is as a percentage from 0% to 100% or 0 to 1. Proportion of occurrences in the complete set of equally likely possibilities leading to a particular occurrence compared to the total number of outcomes.

\($$\begin{aligned}& (2 / 3+1 / 2) / 2=X \\& 1,666 / 2=X \\& 0.58333=X \\& ((2 / 3+1 / 2 / 2) x 2 / 3=X \\& 0.58333 x 0.666=X .3888=X\end{aligned}$$\)

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Answer:

Step-by-step explanation:

Comment

The constant you want is just the reciprocal of the constant you have been given. You can show it this way

y = 11/2 z               Multiply both sides by 2

2y = 11z                 Divide both sides by 11

Answer

2/11 y = z

Answer:

15 dollars

Step-by-step explanation:

21 - 18 = 3

18 - 3 = 15

I hope this helps have a good day and stay safe!

Answer:

15

Step-by-step explanation:

one  pen is three dollars. that leaves 15 dollars left over.

If correct may l please have brainliest?

If the total damage remains strictly below the critical value, the system will continue to operate. Otherwise, the system will fail.

A suitable process to model the damage up to time t caused by shocks in a system following a Poisson process of intensity lambda would be a Compound Poisson Process.

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