find an equation of the tangent line to the curve at the given point. y = ln(x3 − 63), (4, 0)

Answer:

Hello There!!

Step-by-step explanation:

Combine like terms:

•5t+8t-12t

•5t+8t=13t

•13t-12t=1t

•1t=t

hope this helps,have a great day!!

~Pinky~

Answer:

T

Step-by-step explanation:

See the steps below:)

The fraction of cake left with Bobby is 5/8.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, Bobby has 3/4 of a cake. He shared 1/8 slice with Morgan.

Slice of cake left = 3/4 -1/8

= 6/8 -1/8

= 5/8

Therefore, the fraction of cake left with Bobby is 5/8.

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The correct answer is it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.

To determine the time it will take for a laptop to receive a packet of MTU size (1500 bytes), we need to consider the data transfer rate or network speed.

Let's assume the network speed is given in bits per second (bps). We'll need to convert the packet size from bytes to bits and then divide it by the network speed to calculate the time.

First, let's convert the packet size from bytes to bits:

Packet size = 1500 bytes

1 byte = 8 bits

1500 bytes * 8 bits/byte = 12000 bits

Now, we need to divide the packet size by the network speed to calculate the time:

Time = Packet size / Network speed

For example, if the network speed is 1 Gbps (1 gigabit per second), the calculation would be:

Time = 12000 bits / (1 Gbps) = 12000 / (10^9) seconds = 0.000012 seconds

Therefore, it would take approximately 0.000012 seconds (or 12 microseconds) for the laptop to receive a packet of MTU size (1500 bytes) with a network speed of 1 Gbps.

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Answer:

42%

Step-by-step explanation:

The first step is to calculate the difference in the number of fishes from the beginning of the day to the end of the day.

90 -52

= 38 fishes

Therefore the percent decrease can be calculated as follows

= 38/90 × 100

= 0.422 × 100

= 42.2 %

= 42% ( to the nearest cent)

Answer:

the value of x is 3.5.

Step-by-step explanation:

To find the perimeter of a rectangle, we need to add up the lengths of all four sides. In the given rectangle, the lengths of the sides are 4x-3, 7x+2, 4x-3, and 7x+2. We can write this as:

Perimeter = (4x-3) + (7x+2) + (4x-3) + (7x+2)

Perimeter = 2(4x-3) + 2(7x+2)

Perimeter = 8x - 6 + 14x + 4

Perimeter = 22x

We are told that the perimeter is 64, so we can set up the equation 22x = 64 and solve for x.

22x = 64

x = 64 / 22

x = 3.5

Therefore, the value of x is 3.5.

Answer:

$450

Step-by-step explanation:

cost = area × price per square meter

cost = LW × $5/m²

cost = 90 m² × $5/m²

cost = $450

Answer:

$450

Step-by-step explanation:

9x10=90 meters

90x5=$450

Answer:

This statement is FALSE

Step-by-step explanation:

If the distance from u to v equals the distance from u to v, it does not necessarily mean that u and v are orthogonal.

Distance is a scalar quantity and it measures the length between two points. Orthogonality, on the other hand, is a concept that relates to the angle between two vectors. Two vectors are orthogonal if their dot product is zero, which means that they are perpendicular to each other.

Therefore, it is possible for two vectors to have the same distance from a point without being orthogonal to each other.

Therefore, you would estimate that the percentage of all voters who would vote for candidate S is 40% ± 3.22% with 90% confidence.

To estimate the percentage of all voters who would vote for candidate S with 90% confidence, you can use the formula for calculating the margin of error for a proportion:

\(Margin of Error = Z * √((p * (1-p)) / n)\)

In this formula:

Z represents the z-score corresponding to the desired confidence level. For a 90% confidence level, the z-score is approximately 1.645.

p is the observed proportion (40% in this case).

n is the sample size (800 in this case).

The margin of error represents the range within which the true proportion is likely to fall.

To calculate the margin of error:

\(= 1.645 * √((0.4 * (1-0.4)) / 800)\)

Simplifying the equation:

\(≈ 1.645 * √((0.24) / 800)\)

≈ 0.0322

So, the margin of error is approximately 0.0322, or 3.22%.

To estimate the percentage of all voters who would vote for candidate S with 90% confidence, you would use the observed proportion of 40% ± the margin of error:

Estimate: 40% ± 3.22%

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The mark obtained in the fourth subject is 19

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

Average marks in 3 subjects = 15

Average marks in 4 subjects = 15 + 1

When the number of subjects is increased by 1, we have the following equation

Average = Sum of subjects/Number of subjects

Substitute the known values in the above equation, so, we have the following representation

15 + 1 = (3 * 15 + Score in 4th subject)/4

So, we have

16 = (3 * 15 + Score in 4th subject)/4

Evaluate the products

16 = (45 + Score in 4th subject)/4

So, we have

45 + Score in 4th subject = 64

Subtract 45 from both sides

Score in 4th subject = 19

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Answer:

x = 20

Step-by-step explanation:

\(\frac{10}{x}\) = \(\frac{x}{40}\)

We cross-multiply and get

400 = \(x^{2}\)

\(\sqrt{400}\) = \(\sqrt{x^{2} }\)

x = 20

So, the answer is x = 20

Answer:

A= 9 , B= 4 , C= 18

Step-by-step explanation:

if u need a in depth explanation text me in the comments :)

Using the central limit theorem to find the mean is 5.4 and the standard error of the mean of the indicated sampling distribution is 0.6.

We must utilize the central limit theorem to determine the mean and standard error of the mean of the sample distribution in the given query.

Considering the posed query,

The company has a mean age of 5.4 years and is normally distributed.

2.1 years of standard deviation.

The population is sampled at random with an n = 12 size, and the mean of each sample is calculated.

The mean is determined using the central limit theorem.

μ(x) = μ = 5.4

The standard error of the mean of the indicated sampling distribution is:

σ(x) = σ/√n

σ(x) = 2.1/√12

σ(x) = 2.1/3.5

σ(x) = 0.6

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Given function:f(x) = 2x²+ 3e-*To calculate Taylor polynomials for the function f(x), we need the following values:f(0) = ?f'(0) = ?f''(0) = ?Let's calculate these values one by one.f(x) = 2x²+ 3e-*.f(0) = 2(0)²+3e-0 = 3f(x) = 2x²+ 3e-*f'(x) = 4x +

0.f'(0) = 4(0) + 0 = 0.f''

(x) = 4.f''(0) = 4.Now, let's find the Taylor polynomials of degree one and two.Taylor polynomial of degree one:  T₁(x) = f(a) + f'(a)(x-a)Let's take a = 0.T₁(x) = f(0) + f'(0)xT₁(x) = 3 + 0.x = 3Taylor polynomial of degree two:

T₂(x) = f(a) + f'(a)(x-a) + [f''(a)(x-a)²]/2

Let's take a = 0.T₂(x) = f(0) + f'(0)x + [f''(0)x²]/2T₂

(x) = 3 + 0.x + [4x²]/2T₂

(x) = 3 + 2x²So, the Taylor polynomial of degree one is T₁(x) = 3, and the Taylor polynomial of degree two is T₂(x) = 3 + 2x².

In mathematics, an expression is a group of representations, digits, and conglomerates that resemble a statistical correlation or regimen. An expression can be a real number, a mutable, or a combination of the two. Addition, subtraction, rapid spread, division, and exponentiation are examples of mathematical operators. Arithmetic, mathematics, and shape all make extensive use of expressions. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

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The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a triangular prism is given by:

Volume = Area of triangular base * height.

Hence, for a triangular right prism whose area is 15.2 inches. If its height is 9.7 inches:

Volume = 15.2 * 9.7 = 147.44 in³

The volume of a triangular right prism whose area is 15.2 inches and height is 9.7 inches is  147.44 in³

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Jerry pays $279.40 this year in property taxes.

To calculate Jerry's property taxes for the year, we need to first decide how many of his month-to-month maintenance fee is going toward property taxes.

The problem states that 20% of the price is for Jerry's assets taxes, which means we will calculate the amount of his belongings taxes with the aid of finding 20% of his monthly charge.

To do this, we multiply the price through 0.20 such as this:

20% of $1,397 = 0.20 x $1,397 = $279.40

Therefore, Jerry pays $279.40 this year in property taxes.

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Calculate the average value of the numbers in the set. Since the numbers are uniformly distributed, the average will be (k/2).Start by selecting the m smallest numbers from the set..Compare the average value to the largest number among the selected m numbers. If the average value is greater, discard the largest number and replace it with a new number from the set.

To maximize the sum of m numbers from a set of uniformly distributed numbers between 0 and k, you can follow these steps:

1. Calculate the average value of the numbers in the set. Since the numbers are uniformly distributed, the average will be (k/2).

2. Start by selecting the m smallest numbers from the set.

3. Compare the average value to the largest number among the selected m numbers. If the average value is greater, discard the largest number and replace it with a new number from the set.

4. Repeat step 3 until you have iterated through all the numbers in the set.

By following these steps, you are ensuring that the m numbers you keep have the smallest values compared to the average value. This will help maximize the sum of the m numbers.

Please note that the solution assumes a uniform distribution and that the set contains enough numbers to choose from each day. Additionally, this answer is provided based on the given terms and may not necessarily be the most optimal strategy in all scenarios.

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The final number is a decimal number which is equal to -1805.96.

It is given to us that the set of expression is given by -

minus one thousand, eight hundred and five point nine six.

We have to write the given expression as a number.

According to the given information we see that there is a "point" word in the expression. This implies that the final number will be a decimal number.

So, from the given information, we can represent the number as -

-1805.96

Thus, the final number is a decimal number which is equal to -1805.96.

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False, forces created by snow are not typically termed linearly distributed loads.

Forces created by snow are generally referred to as uniformly distributed loads, not linearly distributed loads. A uniformly distributed load applies a constant force per unit length or area over a specific region. In the case of snow, when it covers a surface or exerts pressure on a structure, the weight of the snow is distributed evenly across the surface, resulting in a uniform load.

This means that the force exerted by the snow is relatively consistent over the entire area it covers. On the other hand, a linearly distributed load would vary linearly along the length or area, meaning the force would change in a linear fashion. Snow loads are more accurately described as uniformly distributed loads due to their consistent distribution of force across a given surface or structure.

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If i paid weekly, I realized my income is $73.155.

Answer:

Solution given;

1 hour =$10

13 hour = 13*10=$130

Taxes

federal :10%

FICA:7.65%

state: 3%

contribute to company: $30

now

My income each week :

5) The circumcircle is the circle we can draw around the pentagon, where the pentagon is inside the circle.

The diameter of that circumcircle is 483.28 meters.

We have to find the length of one of the sides.

The diameter can be converted to a radius dividing it by 2:

We will need to also know the measure of the interior angle of the pentagon.

For regular polygons we can calculate it as:

We can then draw a right triangle that will let us calculate the side length (a):

As the radius R bisects the interior angle, we have an angle in the triangle that is half the interior angle: 108/2 = 54°.

Then, we can use trigonometric ratios to find a:

Answer: 284.06 meters.

^answer:^

~10 cubic feet~

^step by step explanation:^

first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.

The phenomena of hiding distribution characteristics in a system from applications and users is known as distribution transparency. Access transparency, location transparency are some examples.

Distributed databases have the attribute of distribution transparency, which keeps consumers from knowing the internal workings of the distribution.

Thus, access transparency, location transparency are some examples of the (distribution) transparency.

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Answer:

100 but I am not sure I guess it's 100

Answer:

15

Step-by-step explanation:if you make the donminater  the same on all three equations you get 15 and 6 is drinking water so minus 6 that 9 2/5 are resting by a nearby pond so minus 6 and 1/3 i grazing the forest so minus 3 and you get zero so the answer is 15

The exact length of the curve is approximately 0.7386.

We're given the equation of the curve as:

\(y = ln(1 - x²)\)

and the range of x values:

\(0 ≤ x ≤ 1/8\)

The exact length of the curve can be found by using the formula:

Length of curve

\(= ∫(a to b) √[1 + (dy/dx)²]dx\)

Here, a = 0 and b = 1/8

Also,

\(dy/dx = -2x/(1 - x²)\)

We can use this to find (dy/dx)²:

\((dy/dx)² = [(-2x)/(1 - x²)]²= 4x²/(1 - x²)²\)

Now, we can substitute these values in the formula for length:

Length of curve

= \(∫(a to b) √[1 + (dy/dx)²]dx\)

= \(∫(0 to 1/8) √[1 + 4x²/(1 - x²)²]dx\)

This integral can be simplified using trigonometric substitution:

Let\(x = (1/2)tanθ\)

Then

\(dx = (1/2)sec²θ dθ\)

Also,

\(1 - x² = 1 - (1/4)tan²θ = 3/4sec²θ\)

So, the integral becomes:

\(∫(0 to 1/8) √[1 + 4x²/(1 - x²)²]dx\)

=\(∫(0 to π/6) √[1 + 16/9 sin²θ] (1/2)sec²θ dθ\)

= \((1/2) ∫(0 to π/6) √[25 + 16 sin²θ]sec²θ dθ\)

This integral can be solved using the substitution

\(u = 5tanθ\)

Then

\(du/dθ = 5sec²θ and sin²θ = (u²/25) - 1\)

Substituting these values, we get:

Length of curve

\(= (1/2) ∫(0 to arctan(5/3)) √(u² + 16) du/5\)

\(= (1/10) ∫(0 to arctan(5/3)) √(u² + 16) du\)

Now, this integral can be simplified using the substitution

\(u = 4tanψ\)

Then

\(du/dψ = 4sec²ψ and u² + 16 = 16(sec²ψ + 1)\)

Substituting these values, we get:

Length of curve

= \((1/10) ∫(0 to arctan(5/3)) √(16(sec²ψ + 1)) (1/4)4sec²ψ dψ\)

= \((1/40) ∫(0 to arctan(5/3)) 8sec³ψ dψ= (1/5) [secψ tanψ]0toarctan(5/3)\)

= \((1/5) [5 sqrt(34) - 3]\)

≈ 0.7386

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Answer:

70 cars

Step-by-step explanation:

if the ferry took the same number of cars each hour, then you would just do 350/5 = 70

The three objects that make up the Alpha centauri system, given their description, are all D. stars.

Alpha Centauri is a star system that consists of three stars, not planets, asteroids, or comets. The three stars are named Alpha Centauri A, Alpha Centauri B, and Proxima Centauri.

Alpha Centauri A and B are similar to the Sun, while Proxima Centauri is a smaller and cooler red dwarf star. The three stars in the Alpha Centauri system produce light and rotate on their own axis, and the system is located an average of 4 light-years from Earth.

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The worth of the factory is $97580.17.

Given data;

Cost of $460,000 for the factory. You project that it will bring in $150,000 in the first year, $210,000 in the second, and $360,000 in the third. The 12% discount rate applies.

To know the factory's worth;

Let,

\(NPV = \frac{C_0}{(1 + r)^0} + \frac{C_1}{(1 + r)^1} + \frac{C_2}{(1 + r)^2} + \frac{C_3}{(1 + r)^3}\)

Here,

C₀ = -460,000, C₁ = 150,000, C₂ = 210,000, C₃ = 360,000

\(NPV = \frac{-460,000}{(1 + 0.12)^0} + \frac{150,000}{(1 + 0.12)^1} + \frac{210,000}{(1 + 0.12)^2} + \frac{360,000}{(1 + 0.12)^3}\)

NPV = $97,580.17

Therefore, the factory's worth is $97580.17.

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