Can someone tell me the answer to this please?

The differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

from the question, we have the following parameters that can be used in our computation:

f(x) = 2x³ + 6x - 1/x + 3eˣ - sin(x)

The derivative of the functions can be calculated using the first principle which states that

if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹

Using the above as a guide, we have the following:

f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

Hence, the differentiation of the function is f'(x) = 6x² + 6 - ln(x) + 3eˣ - cos(x)

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Answer:

4

Step-by-step explanation:

96/4 is 24.

100/4 is 25

Answer:

4

Step-by-step explanation:

4 is the greatest common factor of 96 and 100

96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

100: 1, 2, 4, 5, 10, 20, 25, 50, 100

Answer:

6x-1

Step-by-step explanation:

I dont know  how to explain but it is correct

Answer:

6x – 1

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

-7x+8 = -4x+2

-7x+4x=2-8

   -3x  = -6

       x  = 2

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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The population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

To find out when the population will be twice what it was in 1980, we need to set up an equation and solve for t.

Let's first determine the population in 1980:

N(0) = 217e0.0102(0) = 217

So, the population in 1980 was 217 million.

Now, we want to find out when the population will be twice that amount:

2(217) = 434

We can set up an equation:

434 = 217e0.0102t

Divide both sides by 217:

2 = e0.0102t

Take the natural logarithm of both sides:

ln(2) = 0.0102t

Solve for t:

t = ln(2)/0.0102

t ≈ 67.8

Therefore, the population of the country will be twice what it was in 1980 approximately 67.8 years after 1980, which would be around 2047.

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The area enclosed by one loop of the curve r = sin(6θ) is π/24.

To find the area enclosed by one loop of the curve r = sin(6θ), we can use the formula for the area enclosed by a polar curve:

A = (1/2)∫[a,b] (r(θ))² dθ

In this case, since we want to find the area of one loop, we can integrate over the interval [0, π/6] (or any interval that covers one complete loop).

A = (1/2\(\int\limits^0_{\pi/6}\) (sin(6θ))² dθ

Simplifying the integral and evaluating it, we get

A = (1/2) \(\int\limits^0_{\pi/6}\) (1 - cos(12θ))/2 dθ

A = (1/4) \(\int\limits^0_{\pi/6}\) (1 - cos(12θ)) dθ

To evaluate this integral, we can use the antiderivative of (1 - cos(12θ)), which is θ - (1/12)sin(12θ). Applying the Fundamental Theorem of Calculus, we have

A = (1/4)[θ - (1/12)sin(12θ)] evaluated from 0 to π/6

Plugging in the limits, we get

A = (1/4)[(π/6) - (1/12)sin(2π)]

Simplifying further, we have

A = (1/4)(π/6) = π/24

Therefore, the area enclosed is π/24.

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--The given question is incomplete, the complete question is given below " find the area of the region enclosed by one loop of the curve.  r = sin(6θ) "--

There are 3003 ways to distribute the 15 pieces of candy to 5 children, regardless of the order in which the children receive the candy.

The concept of combinations is used to find the number of ways to choose a certain number of items from a larger set of items, without regard to their order. In this case, the larger set of items is the 15 pieces of candy (8 strawberry and 7 rhubarb), and we want to find the number of ways to choose 5 pieces of candy to give to 5 children.

The formula for combinations is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, k is the number of items to choose, and ! means factorial. Factorial of a number n is the product of all positive integers up to n, so for example, 5! = 5 * 4 * 3 * 2 * 1 = 120.

So, using this formula, we can calculate the number of combinations of 15 items taken 5 at a time:

C(15,5) = 15! / (5! * (15-5)!) = 15! / (5! * 10!) = 15 * 14 * 13 * 12 * 11 / (5 * 4 * 3 * 2 * 1) = 3003.

So there are 3003 ways to distribute the 15 pieces of candy to 5 children, regardless of the order in which the children receive the candy.

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According the inscribed angle theorem, t = 76°. The inscribed angle theorem postulates that the inscribed angles subtended by the same arc are equal.

Step 1: Note that the line segment YX can be used to create an arc.

Step 2: Since the vertexes 76° and t° are subtended by the same arc, that makes t = 76°.

Note: An arc, line segment, or other portion of a curve subtends an angle when its two rays pass through the endpoints of that arc, line segment, or curve section.

So the correct answer is m∠t = 76°

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Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

25.12sq.cm

Step-by-step explanation:

Answer:

6.28

Step-by-step explanation:

Because a=pi times the radius squared divided by 2

a= 3.14 times 2 squared

Answer:

c

Step-by-step explanation:

Answer:

the correct answer is

B. 3/5 × d = 345

Answer:

The correct option is (a)

Answer:

look at my question

Step-by-step explanation:

Answer A is the only one that seems to make sense to me id choose A

a and d are true statement

ok as know to me

A random variable is a variable that takes on values that are uncertain or probabilistic in nature.

Therefore, the correct option is a) A variable that takes on values that are uncertain.

Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.

These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.

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You can estimate the barometric pressure at Massena, New York, 3 hours earlier by using the barometric pressure trend on the station model.

The station model includes a symbol for the barometric pressure trend, which indicates whether the pressure is rising, falling, or steady.

If the pressure is rising or steady, it suggests that the pressure 3 hours earlier was likely higher than the current pressure. If the pressure is falling, it suggests that the pressure 3 hours earlier was likely lower than the current pressure.

To estimate the actual barometric pressure 3 hours earlier, you can use the rate of change in pressure indicated by the pressure trend.

For example, if the pressure trend is falling rapidly, you can estimate that the pressure 3 hours earlier was likely several millibars higher than the current pressure.

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It looks like the integral is

\(\displaystyle 6 \int yz\cos(x) \, ds\)

With \(x=t\), \(y=\cos(t)\), and \(z=\sin(t)\), the line element is

\(ds = \sqrt{\left(\dfrac{dx}{dt}\right)^2 + \left(\dfrac{dy}{dt}\right)^2 + \left(\dfrac{dz}{dt}\right)^2} \, dt = \sqrt2 \, dt\)

and so

\(\displaystyle 6 \int yz\cos(x) \, ds = 6\sqrt2 \int_0^\pi \cos^2(t) \sin(t) \, dt\)

Substitute \(u = \cos(t)\) and \(du=-\sin(t)\,dt\), then

\(\displaystyle 6 \int yz\cos(x) \, ds = -6\sqrt2 \int_1^{-1} u^2 \, du = 12\sqrt2 \int_0^1 u^2 \, du = \boxed{4\sqrt2}\)

where in the second-to-last equality, we have

\(\displaystyle -\int_1^{-1} = \int_{-1}^1\)

and

\(\displaystyle \int_{-1}^1 u^2 \, du = 2 \int_0^1 u^2\,du\)

by symmetry.

Answer:

x ≥ 89

Step-by-step explanation:

Since Jonathan needs at least an 89, his score must be greater than or equal to an 89.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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The bias of Yn is c/n, and the variance of Yn is n(σ² + c²)/n².

The estimator Yn = n⁻¹∑(X1 + ... + Xn + c) is considered for estimating the population mean μ, where c is a constant. The bias of Yn is determined to be c/n, indicating that Yn consistently deviates from the true population mean by this amount on average.

On the other hand, the variance of Yn is calculated as n(σ² + c²)/n², where σ² represents the variance of the population. Comparing the bias and variance of Yn with those of the sample mean, we observe that the bias of the sample mean is zero, implying that it provides an unbiased estimate of the population mean.

Additionally, the variance of the sample mean is σ²/n, which is smaller than the variance of Yn when n>1. This implies that the sample mean is a more precise estimator with less variability compared to Yn.

Understanding the bias and variance of estimators is crucial in statistical inference as it allows us to evaluate the accuracy and precision of estimates.

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Answer: y = 1

Step-by-step explanation: Lets solve for y, step by step!

6 = 2(y + 2)

6 = ( 2 x y + 2 x 2)

6 = 2y + 4

2y + 4 = 6

2y + 4 - 4 = 6 - 4

2y = 2

y = 1

Answer:

Step-by-step explanation:

A. $268,10 B. $14155 c. $255.54 b. $11400. fociaral and state governmenta? ... record payroll tax expense and pay to the federal and state governments :.

1 answer

·

Top answer:

Amount of state and federal unemployment tax that the employer must record payroll tax expense and pay to the federal and state governments : According ...

Missing:255.54

Answer:

$12 per hour multiplied by 22 hours = $264

Step-by-step explanation:

Dont overthink it... The question basically is: What is the total pay for someone working 22 hours (straight time) at $12. per hour?

Answer:

The y-value is 1 less than the square of the x-value,

Step-by-step explanation:

if we follow the letters and convert them into numbers we will get:

y-value=y

1 less than=-1

square of x value=x^2

so

we put the number in order according to the words:

y value=1 less than the square of x

so

y=x^2-1

hope this helps!

Answer:

-6

Step-by-step explanation:

cus