Find the derivative of y with respect to x if y=(2x²−4x+4)eˣ.
dy/dx=

Answer:

19/90

Step-by-step explanation:

0.2(1)

We know that most recurring decimals like this have a 9

We know that it can't be anything over 99, or else all digits will repeat:

0.212121....

It will be a number over 90, which will be 19/90

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

x + 2x = 109

Step-by-step explanation:

x + 2x = 109

mark brainliest

Answer:

The first term as 2.

Pattern: Multiply the previous term and 2 to get the next term.

Step-by-step explanation:

The pattern is every term is 2× the previous term.

The sequence of the differences, 2, 4, 8, 16, 32, … is geometric. The pattern is every term is 2 times the previous term.

The geometric series is a series in which the ratio of two consecutive numbers is constant.

The sequence of the differences, 2, 4, 8, 16, 32, … is geometric.

So, The ratio of two consecutive numbers is constant.

r = 4/2 = 2

r = 8/4 = 2

Thus, The pattern is every term is 2 times the previous term.

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The Prud'homme safety criterion is an empirical formula used in Europe to determine limit values for preventing derailment caused by track shifting. This criterion is commonly applied to ballasted tracks with timber sleepers.

the coefficient in the Prud'homme safety criterion, the following steps are usually followed:

1. Identify the characteristics of the ballasted track with timber sleeper, such as the weight of the train and the geometry of the track.

2. Calculate the dynamic response factor (DRF) for the specific track configuration. The DRF is a measure of the track's ability to resist lateral forces and prevent derailment.

3. Determine the lateral force generated by track shifting. This force depends on factors like the train's speed and the amount of track displacement.

4. Apply the Prud'homme formula, which states that the coefficient should be less than or equal to the product of the DRF and the lateral force.
Empirical formulas can be determined by a variety of methods, including elemental analysis, combustion analysis, and mass spectrometry. Elemental analysis involves determining the percentage of each element in a compound. Combustion analysis involves combusting a known mass of a compound and measuring the amount of carbon dioxide and water produced. Mass spectrometry involves ionizing a sample of a compound and then measuring the mass-to-charge ratio of the resulting ions.

Once the empirical formula of a compound has been determined, it can be used to calculate the compound's molecular formula. The molecular formula is the actual number of atoms of each element in a molecule of a compound. The molecular formula can be determined by multiplying the empirical formula by an integer. The integer is found by dividing the molecular mass of the compound by the empirical mass of the compound.

Empirical formulas are useful for a variety of purposes. They can be used to identify compounds, to determine the stoichiometry of chemical reactions, and to calculate the molecular mass of compounds.

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Answer:

B. -5

Step-by-step explanation:

Ok so g(0) is the output for when x is 0. On the table it shows that when x is 0 g(x) or g(0) is -5. So B -5 is your answer.

The given initial value problem is a second-order linear homogeneous differential equation. To solve it, we first find the characteristic equation by substituting y = e^(rx) into the equation. This leads to the characteristic equation r^2 - 10r + 50 = 0.

The general solution of the differential equation is y(x) = e^(5x)(C₁cos(5x) + C₂sin(5x)), where C₁ and C₂ are constants determined by the initial conditions.

To determine the particular solution, we differentiate y(x) to find y'(x) = e^(5x)(5C₁cos(5x) + 5C₂sin(5x) - C₂cos(5x) + C₁sin(5x)), and then differentiate y'(x) to find y''(x) = e^(5x)(-20C₁sin(5x) - 20C₂cos(5x) - 10C₂cos(5x) + 10C₁sin(5x)).

Substituting the initial conditions y(0) = 1 and y'(0) = 5 into the general solution and its derivative, we obtain the following equations:

1 = C₁,

5 = 5C₁ - C₂.

Solving these equations, we find C₁ = 1 and C₂ = 4.

Therefore, the particular solution to the initial value problem is y(x) = e^(5x)(cos(5x) + 4sin(5x)).

To find the value of y when x = 1.52, we substitute x = 1.52 into the particular solution and evaluate it. The result will depend on the rounding instructions provided.

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Answer:

uh I don't even know what this is

Answer: x = 500

Step-by-step explanation:

Use the Pythagorean Theorem

a²+b²=c²

300² + 400² = x²

90000 + 160000 = x²

250000 = x²

√250000 = √x²

500 = x

hope i explained it :)

Answer:

d. 132

Step-by-step explanation:

12 + 8 x 15

do 8 x 15 first because PEMDAS

12 + 120

132

Answer:

8(8)-9(3)

64-27= 37

Step-by-step explanation:

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

x=7.4

Step-by-step explanation:

2.4+x=9.8

(x=9.8-2.4)

x=7.4

Answer:

7.4

Step-by-step explanation:

2.4+x=9.8

subtract 2.4 from both sides to get:

x=7.4

that's your answer :)

Answer:

well u have to give the picture

Step-by-step explanation:

The solution for the equations `1/4 = 2x` and `1/4 ÷ x = 2` is `x = 1/8`.

To show that the equations `1/4 = 2x` and `1/4 ÷ x = 2` have the same solution, we need to find the value of x in each equation, then check if the values obtained are equal or not. We will begin by solving each equation.Solving `1/4 = 2x`To find the value of `x` in the equation `1/4 = 2x`, we will isolate `x` by dividing both sides by 2:`1/4 = 2x` (original equation)`1/4 ÷ 2 = 2x ÷ 2` (divide both sides by 2)`1/8 = x`

So the solution for the equation `1/4 = 2x` is `x = 1/8`.Solving `1/4 ÷ x = 2`To find the value of `x` in the equation `1/4 ÷ x = 2`, we will isolate `x` by dividing both sides by `1/4`:`1/4 ÷ x = 2` (original equation)`1/4 ÷ 1/4 ÷ x = 2 ÷ 1/4` (divide both sides by `1/4`)`x = 1/8`

So the solution for the equation `1/4 ÷ x = 2` is `x = 1/8`.Since the solution for each equation is the same (`x = 1/8`), we can conclude that the two equations have the same solution.

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The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The odds for the event happening = 34:5  

The odds against the event happening = 5:34.

The probability of the given event is 34/39. To find the odds for and against the event happening, follow these steps:

Step 1: Calculate the odds for the event happening.
The odds for an event happening is given by the ratio of the probability of the event happening to the probability of the event not happening. In this case, the probability of the event happening is 34/39.

Step 2: Calculate the probability of the event not happening.
The probability of the event not happening is given by 1 minus the probability of the event happening, which is 1 - (34/39) = 5/39.

Step 3: Calculate the odds for the event happening.
The odds for the event happening is the ratio of the probability of the event happening to the probability of the event not happening, which is (34/39) : (5/39). Since both terms have the same denominator, you can simplify the ratio to 34:5.

Step 4: Calculate the odds against the event happening.
The odds against the event happening is the inverse of the odds for the event happening, which is 5:34.

In conclusion, the odds for the event happening are 34:5, and the odds against the event happening are 5:34.

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Answer:

Hurry what? What's the question?

Answer:

Don't worry, I'm on my way.

Step-by-step explanation:

The figures were not drawn to scale.

Answer: (25 – π)

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

-38

Step-by-step explanation:

You replace the x with 5.

turns it into -3 (5)^2+9(5)-8

-3(25)+45-8

-75+45=-30-8=-38

-3(5)^2+9(5)-8

answer:

-38

Answer:

Hello this might not be the answer u need but i hope u understand i need these points for a give away im doing soon so hope u dont mind, and also i dont think im in a high enough grade yet ;-; sorry!

Step-by-step explanation:

Increasingly, developers are using tools that can quickly create screen mockups, referred to as element Wireframes

Wireframes is a type of tool which is allow designers to quickly and effectively mock up an outline of a design as easily as possible. Designers easily drag the images and drop to placeholder images , header and content also.

There are three types of wireframes, which is very useful :

Wireframes generally is used for visual designer, developer, business analysts, user experience designers and information architecture and user research.

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Answer:

Step-by-step explanation:

the percent increase would be 7.5%

10% of 10 is 1 dollar

$.75 increase would be a 7.5% increase

Answer:

107.50 because you would take 10.75 and 10 and divide it so he got an extra 7.50 hope this helps

Step-by-step explanation:

;)))

The exact value of the expression \(cos \pi /16\ cos 3\pi /16 - sin \pi /16\ sin 3\pi /16\ is\ (2 + \sqrt2)/4\).

We can use the following trigonometric  identity:

cos(a-b) = cos(a)cos(b) + sin(a)sin(b)

We have:

\(cos \pi /16\ cos 3\pi /16 - sin \pi /16\ sin 3\pi /16 \\= cos(3\pi /16 - \pi /16) \\= cos \pi /8\)

Now, using the half-angle identity \(cos(\theta/2) = ^+_-\sqrt{[(1 + cos \theta)/2]\), we can simplify cos π/8:

\(cos \pi /8 \\= cos(\pi /4 - \pi /8) \\= cos \pi /4\ cos \pi /8 + sin \pi /4\ sin \pi /8 \\= 1/\sqrt{2} \times \sqrt{[(1 + cos \pi /4)/2]} + 1/\sqrt{2} \times \sqrt{[(1 - cos \pi /4)/2]} \\= 1/\sqrt{2} \times \sqrt{[(1 + 1/\sqrt{2})/2]} + 1/\sqrt{2} \times \sqrt{[(1 - 1/\sqrt{2})/2] }\)

\(= 1/\sqrt{2} \times \sqrt{[(2 + \sqrt{2})/4] }+ 1/\sqrt{2} \times \sqrt{[(2 - \sqrt{2})/4]} \\= 1/2 \times \sqrt{(2 + \sqrt{2})} + 1/2 \times \sqrt{(2 - \sqrt{2})} \\= \sqrt{2}/2 + \sqrt{2}/2\sqrt{2} + \sqrt{2}/2 - \sqrt{2}/2\sqrt{2} \\= \sqrt{2}/2 + \sqrt{2}/4 \\= (2 + \sqrt{2})/4\)

Therefore, the exact value of the expression \(cos \pi /16\ cos 3\pi /16 - sin \pi /16\ sin 3\pi /16\ is\ (2 + \sqrt2)/4\).

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Answer:

The slope is 1/2!!

Step-by-step explanation:

Sally uses 3 1/2 cups of flour for each batch, therefore, the total amount of flour needed to make four batches of cookies is 28 cups.

To multiply a mixed number by a whole number, we first need to convert the mixed number to an improper fraction. In this case, the mixed number is 3 1/2, which can be written as the improper fraction 7/2. To do this, we multiply the whole number (3) by the denominator (2) and add the numerator (1) to get 7. Then, we write the result (7) over the denominator (2) to get 7/2.

Next, we multiply the improper fraction (7/2) by the whole number (4) to get the total amount of flour needed for four batches of cookies. To do this, we multiply the numerator (7) by 4 to get 28, and leave the denominator (2) unchanged. Therefore, the total amount of flour needed to make four batches of cookies is 28 cups.

To make four batches of cookies, Sally needs 28 cups of flour. To calculate this, we converted the mixed number of 3 1/2 cups of flour to an improper fraction of 7/2 and then multiplied it by four.

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