Estimate the derivative using forward finite divided difference applying both truncated and more accurate formula using 0.5 and step sizes of ht=0.25 and tu=0.125 4x12x2 + x3 -1 #x) = 5 + 3sinu = 2x1 + x2 + x3 = 4 2xy + 2x2 + x3 = 3

Answer:

(11+4)/3*square root of 64=40

Step-by-step explanation:

11+4=15

15/3=5

the square root of 64 is 8

5*8=40.

To determine the total grade we mutiply each one by the percentage it represents of the overall grade in decimal form and add them, that is:

Therefore, the overall grade is 69

Answer:

D

Step-by-step explanation:

The volume of a single coin is indeed:

Volume of a single coin = π × (radius)² × height

= 3.14 × (1.4 in)² × 0.0625 in

= 0.38465 in³ (rounded to the nearest hundredth)

Therefore, the total volume of 230 coins can be found by multiplying the volume of a single coin by the number of coins:

Total volume of 230 coins = 0.38465 in³/coin × 230 coins

= 88.47 in³ (rounded to the nearest hundredth, unrounded its 88.4695)

Hence, the answer is (D) 88.47 in³.

By applying the Kuhn-Tucker theorem, the maximum value of xy is: 18/25

The constraints are:-4x² - 2xy - 4y²x + 2y ≤ 22x - y ≤ -1

Let us solve this problem by applying the Kuhn-Tucker theorem.

Let us first write down the Lagrangian function:

L = xy + λ₁(-4x² - 2xy - 4y²x + 2y - 2) + λ₂(2x - y + 1)

Then, we find the first order conditions for a maximum:

Lx = y - 8λ₁x - 2λ₁y + 2λ₂ = 0

Ly = x - 8λ₁y - 2λ₁x = 0

Lλ₁ = -4x² - 2xy - 4y²x + 2y - 2 = 0

Lλ₂ = 2x - y + 1 = 0

The complementary slackness conditions are:

λ₁(-4x² - 2xy - 4y²x + 2y - 2) = 0

λ₂(2x - y + 1) = 0

Now, we solve for the above equations one by one:

From equation (3), we can write 2x - y + 1 = 0, which implies:y = 2x + 1

Substitute this in equation (1), we get:

8λ₁x + 2λ₁(2x + 1) - 2λ₂ - x = 0

Simplifying, we get:

10λ₁x + 2λ₁ - 2λ₂ = 0 ... (4)

From equation (2), we can write x = 8λ₁y + 2λ₁x

Substitute this in equation (1), we get:

8λ₁(8λ₁y + 2λ₁x)y + 2λ₁y - 2λ₂ - 8λ₁y - 2λ₁x = 0

Simplifying, we get:

-64λ₁²y² + (16λ₁² - 10λ₁)y - 2λ₂ = 0 ... (5)

Solving equations (4) and (5) for λ₁ and λ₂, we get:

λ₁ = 1/20 and λ₂ = 9/100

Then, substituting these values in the first order conditions, we get:

x = 2/5 and y = 9/5

Therefore, the maximum value of xy is:

2/5 x 9/5 = 18/25

Hence, the required answer is 18/25.

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Answer:

75

Step-by-step explanation:

Answer:

75 People attended the basket ball game.

Step-by-step explanation:

If you multiply your percent by your total number you get the answer

0.30 x 250 = 75

Answer:

+45

Step-by-step explanation:

a deposit is a sum of money placed or kept in a bank account, usually to gain interest

Answer:

1/20 of a gallon

Step-by-step explanation:

If she divides 1/4 into 5 glasses, the answer would be 0.05, or 1/20 gallons.

Answer:

Step-by-step explanation:

Our P is 72300; our r is .071, e is Euler's number (a constant) and t is 19 years. Filling in:

\(V=72300e^{(.071)(19)}\) and

\(V=72300e^{1.349\) and

V = 72300(3.853570033) so

V = $278,613.11

The idea that group work theories are appropriate for all clients all the time is a myth (Third option).

About Group Process:

The term "group process" describes how people collaborate within an organization to complete tasks. Typically, organizations invest a lot of time and effort into defining and achieving goals, but little thought is usually given to how those goals are affecting the most valuable resource of a group - its people.

Since different clients have different demands and priorities, group work might not be suitable for many, but not for all. Different types of clients require different types of collaboration, type of group or individuals, and working strategies that work for their goals the best.

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The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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Answer:

90 degrees

90 degrees

3x + 3 = 90

x = 29

Step-by-step explanation:

(3x + 3) means the angle at K, I assume.

the angles IKH and JKH are the same and 90 degrees each, as the height stands perpendicular on the side JI.

so,

3x + 3 = 90

3x = 87

x = 29

Answer:

Step-by-step explanation:

In the given triangle HIJ,

HK is the altitude (by the definition of the altitude of a triangle)  

Therefore, m∠HKI = m∠HKJ = 90°

Equation for the given angles will be,

(3x + 3)° = 90°

3x = 87

x = 29

If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

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Answer:

1). 5.2 cm

2). 8.3 cm

step by step explanation

Answer:

5.4 and 8.6

Step-by-step explanation:

This is the right answer

Answer:

a. 4 = decimal point one's place

b. 1 = one's place

Step-by-step explanation:

The upper control limit (UCL) at a 99% confidence interval with a z value of 3 is 0.165.(option c)

In statistical process control, the UCL is a key parameter used to determine the upper boundary for acceptable variation in a process. To calculate the UCL for a defect rate, we use the formula UCL = p' + z * sqrt(p'(1-p')/n), where p' is the proportion of defects in the sample, z is the z value corresponding to the desired confidence level, and n is the sample size.

In this case, we have collected 20 samples of 100 items each, and the total number of defective items is 75. Therefore, the proportion of defects in the sample is 75/2000 = 0.0375. Using the formula mentioned earlier, with a z value of 3 and n value of 100, we can calculate the UCL as follows: UCL = 0.0375 + 3 * sqrt(0.0375 * (1-0.0375)/100) ≈ 0.165.

Therefore, the correct answer is C. 0.165.

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By using Heron's formula and standard formula for the area of a triangle, the area of the composite figure is 921006.497 square meters.

In this problem we must determine the area of a composite figure, which consists in subtracting the area of an isosceles triangle from the area of the equilateral triangle:

Big triangle

The area of the big triangle is determined by Heron's formula:

s = [3 · (520 m)] / 2

s = 780 m

A = √[(780 m) · (1560 m - 520 m)³]

A ≈936693.077 m²

Small triangle

H = (520 m) · sin 60°

H ≈ 450.333 m

h = 450.333 m - 390 m

h = 60.333 m

A = 0.5 · (520 m) · (60.333 m)

A = 15686.580 m²

Then, the area of the composite figure is 921006.497 square meters.

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Answer

The height of the plane at that time is 1.1 miles

The distance of the plane's path is 10.1 miles

Explanation

The situation models a right angle triangle as shown below

Using trigonometric ratio,

tan 6° = opposite / adjacent

The opposite side of the triangle is the height of the plane. The distance traveled horizontally is the adjacent side. Therefore,

The height of the plane at that time ≈ 1.1 miles

The hypotenuse of the triangle formed is the distance of the plane path.

Therefore, this distance can be calculated using Pythagoras rule as follows:

The distance of the plane's path = 10.1 miles

Probability that 5 of 6 stolen cars will be recovered with insurance records a car with a certain protection system will be recovered 91% of the time is equal to P(x=5)=0.3369 (approximately).

As given,

Insurance protection system recovered of a car=91%

p=0.91

q=1-p

 =1-0.91

 =0.09

n=6

x=5

Using Binomial theorem ,probability of 5 of 6 stolen cars will be recovered is:

ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ

=⁶C₅(0.91)⁵(0.09)⁶⁻⁵

=[6!/(6-5)!5!] × (0.91)⁵× (0.09)

=6×(0.91)⁵×0.09

=0.3369

Therefore, probability that 5 of 6 stolen cars will be recovered with insurance records a car with a certain protection system will be recovered 91% of the time is equal to P(x=5)=0.3369 (approximately).

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Answer:

196

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you mean it decreased from 1275 to 850 or it increased from 275 to 850? Please respond so I can help you with this.

Given that the population doubles every 4 months, it would take approximately 22 years for the population of rabbits to reach 576. Therefore, the correct option is (d) 22.

The model for the population of rabbits, p(t), is p(t) = 12(2) m/4. Given that the population doubles every 4 months, we have an exponential growth of the population. So we can use the formula for exponential growth or decay:

A(t) = A₀e^(kt), where A₀ is the initial value, k is the rate of growth, and t is the time. Using the formula, we can write the equation for the population of rabbits as p(t) = A₀e^(kt), where A₀ = 12 and k = ln(2)/4. Let's use this equation to determine how many years it would take the population to reach 576. We want to find the value of t when p(t) = 576. So we have:

576 = 12e^(ln(2)/4*t)

48 = e^(ln(2)/4*t)

ln(48) = ln(e^(ln(2)/4*t))

ln(48) = ln(2)/4*t

t = ln(48)/ln(2)*4

t ≈ 22

So it would take approximately 22 years for the population of rabbits to reach 576. Therefore, the correct option is (d) 22.

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Answer:

It is rational because the answer is -3

Step-by-step explanation:

-3 can be writen as a fraction so it is a rational number.

Answer:

That is a rational number

Step-by-step explanation:

\(\sqrt{9}\) = 3.

Therefore, -\(\sqrt{9}\) = -1(3) = -3.

-3 is RATIONAL.  

Answer:

im going for b

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

You can tell by the equation and the direction of the "<" sign that b is correct.

I've done lots of these problems before.

It would take 42 minutes of running to burn off 360 calories if running spends 60 calories every 7 minutes.

Given that the source of the 360 additional calories was a cup of Vanilla Ice Cream, we need to determine how many minutes of running it would take to burn off 360 calories if running spends 60 calories every 7 minutes.

To find the answer to the problem, use the following formula:

Time (in minutes) of running = (Calories to burn off ÷ Calories burnt per minute)

Therefore, to burn off 360 calories when running uses up 60 calories every 7 minutes, the time (in minutes) of running required is calculated as follows;

Time of running = (360 ÷ 60) × 7

Time of running = 6 × 7

Time of running = 42 minutes

Therefore, it would take 42 minutes of running to burn off 360 calories if running spends 60 calories every 7 minutes.

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There are 1,663,200 different orderings of the letters of millimicron containing the letters cr next to each other in order and the letters next to each other in order.

Total no. of letters = 11

Millimicron, dissecting will give us the following:

Number of m = 2

Number of i = 3

Number of l = 2

Number of c = 1

Number of n =1

Number of r = 1

Number of o = 1

o compute this by using permutation

total no. of ways to arrange = 11! ÷ [ 2! × 3! × 2! × 1! × 1! × 1! × 1!]

= 39,916,800 ÷ 24

= 1,663,200 is the answer

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