Pls help me im stuck

Answer:

6a = 6 * a

2a * b = 2ab

Step-by-step explanation:

2a * 2b = 4ab not 2ab

6 * a is the same as 6a

5a = 5 * a not 5 + a

3ab has different variables then 3c therefore the expression cannot be true

2ab is the same as 2a * b

The unit normal vector to the surface f(x,y,z)=0 at the point p(2,5,-27) is (-1/sqrt(27), 5/sqrt(27), 1/sqrt(27))

To find a unit normal vector to the surface f(x, y, z) = ln(x - 5y - z) at the point P(2, 5, -27), you'll first need to compute the gradient of the function, which represents the normal vector.

The gradient is given by (∂f/∂x, ∂f/∂y, ∂f/∂z). Let's compute the partial derivatives:

∂f/∂x = 1/(x - 5y - z)

∂f/∂y = -5/(x - 5y - z)

∂f/∂z = -1/(x - 5y - z)

Now, evaluate the gradient at the point P(2, 5, -27):

∇f(P) = (1/(2 - 5*5 + 27), -5/(2 - 5*5 + 27), -1/(2 - 5*5 + 27))

∇f(P) = (1/-4, 5/4, 1/4)

Now we'll normalize this vector to get the unit normal vector:

||∇f(P)|| = sqrt\(((-1/4)^2\) + \((5/4)^2\) + \((1/4)^2)\) = sqrt(27/16)

Unit normal vector = ∇f(P)/||∇f(P)|| = (-1/4, 5/4, 1/4) / (sqrt(27/16))

Unit normal vector = (-1/sqrt(27), 5/sqrt(27), 1/sqrt(27))

So, the unit normal vector to the surface at the point P(2, 5, -27) is (-1/sqrt(27), 5/sqrt(27), 1/sqrt(27)).

The Question was Incomplete, Find the full content below :

Find a unit normal vector to the surface f(x,y,z)=0 at the point p(2,5,-27) for the function f ( x , y , z ) = ln ( x − 5 y − z )

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Answer:

−672x2y2

Step-by-step explanation:

The answer is:

-28x^4y^6

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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The sum of the measures of an exterior angle of a polygon is 360°.

If the given angle divides 360 evenly, then it can be a measure of an exterior angle of a polygon. If otherwise, then it cannot be.

Out of the given angles, only 50 does not divide 360 evenly. Therefore, a regular polygon cannot have an exterior angle measuring 50°. (Option B)

Answer:

118

Step-by-step explanation:

Answer:

118⁰

Step-by-step explanation:

37⁰+25⁰= 62 ⁰

180⁰-62⁰= 118⁰

Answer:

2nd

Step-by-step explanation:

Perenthasis

Exponets

Multiply

Divide

Add

Subtract

Answer:

0.32

Step-by-step explanation:

3/10=0.3

2/5=0.4

0.32 is between these two numbers.

Hope this Helps

Probabilities cannot exceed 1, so the correct answer is a) 0.7.

The probability that either event A or event B occurs can be found by adding their individual probabilities.

Since event A occurs with a probability of 0.6 and event B does not occur with a probability of 0.6, we can add these probabilities together.

Therefore, the probability that either event A or event B occurs is 0.6 + 0.6 = 1.2.

However, probabilities cannot exceed 1, so the correct answer is a) 0.7. This means that there is a 70% chance that either event A or event B will occur.

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Answer:

?/

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Area of this figure =(BC times AB) - (HE times HG)

Line segment BC= 12

Line segment AB=9

12 times 9 = 108

108- (HE times HG)

HE= AD - AH - ED

AD = 12

AH = 4

ED = 4

HE= 12-4-4

HE=4

HG= 4

HE times HG = 16

108- 16 = 92

In hypothesis testing, the null hypothesis (H0) and the alternative hypothesis (Ha) are used to assess the validity of a claim or statement about a population parameter.

Here are the answers to the given questions:

12. The null and alternative hypotheses divide all possibilities into:

b. Two non-overlapping sets

The null hypothesis and the alternative hypothesis are mutually exclusive and collectively exhaustive.

They represent two distinct possibilities or explanations regarding the population parameter being tested.

These sets do not overlap, meaning that an observation or outcome can only fall into one of these two categories.

13. Which of the following is true of the null and alternative hypotheses?

d. It is possible for neither hypothesis to be true

In hypothesis testing, the null hypothesis represents the default position or the status quo. It assumes that there is no significant difference or effect present in the population.

The alternative hypothesis, on the other hand, contradicts the null hypothesis and suggests that there is a significant difference or effect.

It is important to note that the null hypothesis is either rejected or failed to be rejected based on the evidence provided by the data.

The alternative hypothesis is not proven or accepted; instead, it is typically accepted by default when the null hypothesis is rejected.

Therefore, it is possible for neither hypothesis to be true if there is insufficient evidence to support the rejection of the null hypothesis. In such cases, no strong conclusion can be made based on the available evidence.

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To find the number of years it will take for the population of a city to increase from 120000 to 180000, we need to use the formula:

Years = log (target population / starting population) / log (1 + annual growth rate)

Where the annual growth rate is 2.5% or 0.025.

Plugging in the values, we get:

Years = log (180000 / 120000) / log (1 + 0.025)

Years = log (1.5) / log (1.025)

Years = 7.36 years

Rounding to the nearest tenth, we get:

Years = 7.4 years

So it will take approximately 7.4 years for the population of the city to increase from 120000 to 180000 people, assuming a constant annual growth rate of 2.5%.

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Answer:

\(\frac{-4+6}{2} , \frac{3+2}{2} =1,4\\\\\frac{6+6}{2} ,\frac{5+(-1)}{2} =6,2\\\\\frac{-4+6}{2} ,\frac{3+(-1)}{2} =1,1\)

Step-by-step explanation:

hope it helps have a nice day!!

Answer:

C, E and F

Step-by-step explanation:

As,

C. - 3/4 m + 8m + m. [Like terms of m]

= 29/4 m + m

= 33/4 m

E. 5. 75t + 7.75 t - t. [Like terms of t]

= 13.5t - t

= 12 . 5t

F. 8xy - 6xy. [Like terms of xy]

= 2xy

Answer:

2

Step-by-step explanation:

(i) The correct statement about the probability of Aadi getting Tails is B - Sue's estimate is best because she gets more Tails. The number of times a coin is flipped affects the accuracy of the probability estimate, but getting more Tails in fewer trials does not necessarily mean that the probability of getting Tails is higher.

(ii) Eric got 3 Tails in 10 trials, so the proportion of Tails is 3/10. Sue got 20 Tails in 50 trials, so the proportion of Tails is 20/50 or 2/5. We can use the average of these two proportions as an estimate for the probability that Aadi will get Tails.

(3/10 + 2/5) / 2 = 0.35

So the estimated probability of Aadi getting Tails is 0.35 or 7/20 in fraction form.

Answer:

slope = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line

m = \(\frac{12-0}{3-0}\) = \(\frac{12}{3}\) = 4

Answer:

The slope of this line is 4.

Step-by-step explanation:

Pick any 2 points on the graph you want, just make sure they land perfectly on where the line meets the grid. I'll pick (1, 4) and (2, 8) here.

The slope formula is:

\(m=\frac{y2-y1}{x2-x1}\)

where (x1, y1) and (x2, y2) are the first and second points you picked above. Now, all you need to do is plug those 2 points into the formula and solve.

\(m=\frac{8-4}{2-1}\\\\m=\frac{4}{1}\\\\m=4\)

The slope of this line is 4.

Answer:

thrid one

Step-by-step explanation:

Answer:

If im correct

EG and FH

The given value of approximately 12.096 light-years implies a rounded value for the distance between Earth and Tau Ceti. The exact distance may vary slightly based on refined measurements and more precise calculations.

To determine how long it takes for light from a star to reach us, we can use the formula:

Distance (in parsecs) = 1 / Parallax (in arcseconds)

Given that the parallax of Tau Ceti is 0.269 arcseconds, we can calculate the distance to Tau Ceti:

Distance = 1 / 0.269 = 3.717 parsecs

Now, to convert the distance from parsecs to light-years, we can use the conversion factor:

1 parsec = 3.2616 light-years

So, the distance to Tau Ceti in light-years is:

Distance (in light-years) = Distance (in parsecs) * 3.2616

Distance (in light-years) = 3.717 * 3.2616 ≈ 12.096 light-years

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The statement " A(n) method is like a blueprint, or template, for all the objects within a class" is true because methods define the behavior or operations that an object can perform and are defined within a class, acting as a blueprint or template for creating objects in object-oriented programming.

A method in object-oriented programming is a set of instructions that defines the behavior or operations that an object can perform. It is a part of a class, which acts as a blueprint or template for creating objects. When an object is created from a class, it can access and use the methods defined within that class.

Methods can be used to perform tasks, manipulate data, or interact with other objects. They are an essential aspect of encapsulation in object-oriented programming, as they allow for data to be accessed and manipulated in a controlled manner. Overall, methods are a crucial tool for developers to create robust and scalable applications.

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Using Excel, the probability that at least 35 of the 154 randomly selected vehicles exceed 110 kilometers per hour when 17.7% of vehicles exceed this speed on the expressway is approximately 0.0027, rounded to four decimal places.

To solve this problem in Excel, we can use the binomial distribution function. In this case, the probability of success (a vehicle exceeding 110 kilometers per hour) is p = 0.177, and the number of trials (vehicles selected) is n = 154.

We want to find the probability of at least 35 successes (vehicles exceeding 110 kilometers per hour), which can be calculated using the formula:

=1-BINOM.DIST(34,154,0.177,TRUE)

This formula gives a probability of 0.0027, which is the probability that at least 35 of the selected vehicles exceed 110 kilometers per hour. Therefore, the answer is 0.0027, rounded to four decimal places.

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Answer:

0.08

Step-by-step explanation:

Answer:

The one in the upper left corner

Step-by-step explanation:

it is a good equation and the wording matches the problem

Answer:

2.3333333333333333333333333333333 sec

Answer:

C: 75%

Step-by-step explanation:

27 out of 36 are red.  You find the percentage by diving 27 by 36 and then moving the decimal place over to the right 2 spaces.  27 / 36 = .75

When describing the central tendency for qualitative data, the measure that is commonly used is the mode.

Unlike quantitative data, where measures such as the mean or median can be used to describe central tendency, qualitative data consists of categories or labels rather than numerical values.

Therefore, the mode is the most appropriate measure for central tendency in this context.

The mode can be useful in summarizing qualitative data by identifying the most common category or response. It provides insight into the most prevalent characteristic or attribute among the data, allowing for a better understanding of the distribution and patterns within the dataset.


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\( \large \implies{ \bf20}l/h\)

from 13:00 to 18:30 = 5.5h

\( \longrightarrow \frac{110l}{5.5h} = 20l/h\)

{division}

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).