(9 points) Find the directional derivative of f(x, y, z) = yx + z4 at the point (2,3,1) in the direction of a vector making an angle of some with V f(2,3,1). f =

Answer:

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Step-by-step explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days

Answer: 6

Step-by-step explanation:

1. 2(4 + px) = 12x (write it down)

2. 8 + 2px = 12x (distributive property)

3. 8/2 + 2px/2 = 12x/2 (divide all by 2

4. 4 + px = 6x

5. 4 = 6x - px

Plug all in:

4 = 6x - 2x (possinle)

4 = 6x - 6x (not possible)

4 = 6x - 12x (possible)

4 = 6x - 24x (possible)

Answer: 6

because:

4 = 6x - 6x

4 = 0

Answer:

(x-3) (x-2)

Step-by-step explanation:

\(x^{2}\) - 5x + 6

How to break down the equation and factorise it:

-3 x -2 = 6

-3 + -2 = -5

Final Answer:

(x-3) (x-2)

Answer:

The directional derivative of f at A in the direction of \(\vec{u}\) AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector \(\vec{u}=(a,b)\) is denoted by \(D\vec{u}f(x,y)\),

\(D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b\).

Now the given points are

\(A(8,9),B(10,9),C(8,10) and D(11,13)\),

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

\(\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)\)

AC=(8-8,10-9), the direction is

\(\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)\)

AC=(11-8,13-9), the direction is

\(\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5} \right )\)

Step 3:

The given directional derivative of f at A \(\vec{u}_{AB}\) is 9,

\(D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9\)

The given directional derivative of f at A \(\vec{u}_{AC}\) is 2,

\(D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2\)

The given directional derivative of f at A \(\vec{u}_{AD}\) is

\(D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}\)

\(D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}\)

\(D\vec{u}_{AD}f= \frac{27+8}{5} =7\)

The directional derivative of f at A in the direction of  \(\vec{u}_{AD}\) is  7.

Answer:

k > - 2

Step-by-step explanation:

Given

6k + 9 > k - 1 ( subtract k from both sides )

5k + 9 > - 1 ( subtract 9 from both sides )

5k > - 10 ( divide both sides by 5 )

k > - 2

Answer:

k> -2

Step-by-step explanation:

We can be 80% confident that the true value of the parameter falls within the range of our estimate plus or minus 1.282 standard errors of the estimate.

The value of zα that would result in a 80% one-sided confidence interval is 1.282. A confidence interval is a range of values that represents the uncertainty of an estimate.

A confidence level is the probability that the interval actually contains the true value of the parameter.

Confidence intervals are typically expressed as a range of values with an associated level of confidence. In a one-sided confidence interval, all of the values are on one side of the estimate.

For example, if we want to construct a one-sided confidence interval for the mean of a population, we would either be interested in the upper or lower end of the range, but not both.

A one-sided confidence interval is also known as a one-tailed confidence interval.

The formula for a one-sided confidence interval is given by:

zα × (σ / √n), where zα is the z-score for the desired level of confidence, σ is the population standard deviation, and n is the sample size.

For an 80% one-sided confidence interval, the z-score is 1.282.

This means that we can be 80% confident that the true value of the parameter falls within the range of our estimate plus or minus 1.282 standard errors of the estimate.

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Answer:

18

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

6x = 144 - 36

6x = 108

x = 18

Answer:

They have the same side lengths/angles except one is smaller than the other

Step-by-step explanation:

the smaller one is a "mini" of the larger one. a exact copy

The dilation is solved and the scale factor of line is A'B' = 3AB

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the scale factor of the dilation be represented as k

Now , the scale factor k = 3

So , the ratio of the corresponding sides is given by

A'B' / AB = 3

Multiply by AB on both sides , we get

A'B' = 3AB

Hence , the dilation is simplified as A'B' = 3AB

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Option B) If the sum of the squares of the two short sides equals the square of the longest side

Answer:

C) 0 <\ x OR x />7

Step-by-step explanation:

The first arrow has a closed circle which indicates greater/less than or equal to. All the values shaded are to the left of 0. So, x is less than or equal to 0. The second arrow also has a closed circle. Since the shaded part of the arrow is to the right of 7, x is greater than or equal to 7.

Answer:

The probability is 12/23

Step-by-step explanation:

We calculate the number of movies in her selection

Mathematically, that will be;

3 + 11 + 9 = 23

The number of movies that are not comedy will be;

3 + 9 = 12

So the probability of selecting a movie that is not comedy will be 12/23

Answer:

  -11 and -10

Step-by-step explanation:

  -11² = -121

  -(√119)² = -119

  -10² = -100

_____

  -√119 is between -11 and -10

The number is 234.

Step-by-step explanation:

Let the 3 digits be H , T and U so the number is HTU.

H + T + U = 9

T = 0.5H + 0.5U

U = 2H

So  from the last 2 equations

T = 0.5H + 0.5(2H)

T = 0.5H + H

T = 1.5H

So substituting for T and H is the first equation:

H + 1.5H + 2H = 9

4.5H = 9

H = 2.

So T = 1.5*H = 1.5 *2 = 3.

True

In a symmetrically shaped distribution of scores, regardless of whether it has one mode or two modes, the mean value tends to be similar to the median value.

When a distribution is symmetric, it means that the data is evenly distributed around the central point, resulting in a bell-shaped curve. In such cases, the mean, median, and mode are typically close to each other.

The mean is the arithmetic average of all the scores in a distribution, while the median represents the middle value when the scores are arranged in ascending or descending order. In a symmetric distribution, the mean and median are located at the exact center of the distribution.

If the distribution has only one mode, it means that there is one prominent peak or high point in the data. In this case, the mean and median will coincide with the mode and will be similar.

If the distribution has two modes, it means that there are two prominent peaks in the data, but they are symmetrical around the center. Even though there are multiple modes, the mean and median will still be similar and tend to be located between the two modes.

In summary, in symmetrically shaped distributions, regardless of the presence of one or two modes, the mean and median values are expected to be close to each other.

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Answer:

the answer is c

Step-by-step explanation:

please mark this answer as brainliest

Answer:

The answer is c

Step-by-step explanation:

By moving 5 units to the right you lend at x-1 y-3

Answer:

67.5 feet

Step-by-step explanation:

If 1 inch = 9 feet, and the model is 7.5 inches,

you just need to do 7.5 • 9 = 67.5 feet.

OR

7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5

63 + 4.5 = 67.5

*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet

Answer:

f(16)= -8

Step-by-step explanation:

f(16)= 1/3(4-16)2

Answer:

-8

Step-by-step explanation:

To answer this question, you must plug in the given 16 to the equation

f(16)= 1/3(4-16)2

f(16)= 1/3(-12)2

f(16)= 1/3(-24)

f(16)= -8

Answer: 8575/2

Step-by-step explanation:

Answer:

100, percentage increased by 85% (percent) of its value = 185 Jan 16 02:56 UTC (GMT

Answer:

=100+85%

=100.85.......

Given:

The expression is

\(2(10)+2(x-4)\)

To find:

The simplified form of the given expression.

Solution:

We have,

\(2(10)+2(x-4)\)

Using distributive property, we get

\(=20+2(x)+2(-4)\)

\(=20+2x+(-8)\)

\(=20+2x-8\)

On combining like terms, we get

\(=2x+(20-8)\)

\(=2x+16\)

Therefore, the correct option is A.

If you decide to conduct research to look for associations among variables, you are likely to find either no association or some association.

When conducting research to explore associations among variables, the outcome can vary. You may encounter situations where there is no significant association between the variables being studied. This means that the variables are independent of each other, and their values do not vary systematically or predictably in relation to one another.

On the other hand, you may also discover that there is some association between the variables. This indicates that there is a relationship or connection between the variables, and changes in one variable are related to changes in another variable.

It is important to note that the strength and nature of the associations can vary. Associations can be strong or weak, positive or negative, linear or nonlinear, depending on the specific research question and the variables under investigation.

When conducting research to explore associations among variables, it is likely that you will find either no association or some association. The specific outcome will depend on the nature of the variables and the analysis conducted. It is essential to interpret the results carefully and consider the context and limitations of the study when drawing conclusions about the associations observed.

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A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold

Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.

Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.

If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.

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Answer:

25 +15x

Step-by-step explanation:

so the fee to rent a truck is 25 but for every hour that you have it, you have to pay $15, so x represents the number of hours you have the truck, so if you have the truck for 3 hours, you would say 25+15(3)= $70

Answer:375

Step-by-step explanation:

Answer:

11over32

Step-by-step explanation:

Answer:

S(A) = 7

Step-by-step explanation:

A ⊆B  means A is a proper subset of B. That means all elements of set A are also elements of set B

S(B\A) means the set of all elements of B that are not in set A. This is given as 28

We are also given S(B)  = 5.S(A)

Since A is a subset of B, S(B) = set of all elements in A and set of all elements in B but not in A

In other words
S(B) = S(A) + S(B\A)

Since S(B) = 5S(A) we get

5S(A) = S(A) + S(B\A)

5S(A) = S(A) + 28

5S(A) - S(A) = 28

4S(A) = 28

S(A) = 7

Answer:inequality form  x  ≤  -1

for 3x + 9  ≤ 6

Step-by-step explanation:isolate the variable by dividing eash side by factors that dont contain the variable

Answer:

Answer Varies

Step-by-step explanation:

For the 1st equation, there are a lot of numbers that could fit x, such as any negative number, such as -1,-2,-3, etc. For the 2nd equation, 9 and below would work. Please correct me if I am wrong because everybody makes mistakes.

From the given information, the value of x in the given table is 42.5.

To find the value of x, we can use the formula for the arithmetic mean (average) of a set of numbers:

Arithmetic mean = (sum of all numbers) / (number of numbers)

Given that the average score on the test is 62, we can use this information to find the sum of all the scores.

Given that number of students is 1,2,3 and 4 with scores of 40,55,70 respectively, we can use this information to find the sum of all the scores.

Sum of all scores = (1 * 40) + (2 * 55) + (3 * 70) + (4 * x)

Now we can substitute the given average score and the number of students into the equation and solve for x.

62 = (1 * 40) + (2 * 55) + (3 * 70) + (4 * x) / 10

620 = 40 + 110 + 210 + 4x

4x = 170

x = 42.5

So, the value of x is 42.5

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The complete question is -

ten students wrote a test, and the distribution of scores is shown in the frequency table. if the average (arithmetic mean) score is 62, what is the value of x?

Score - 40, 55, 70, x

Number of students - 1, 2, 3, 4

Answer:

because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees

Answer: 112°

Step-by-step explanation:

The angles are supplementary so add to 180°

(2x) + (3x + 10) = 180

Combine Like Terms leaves:

5x + 10 = 180

Subtract 10 from each side:

5x = 170

Divide 5 on each side:

x = 34

Plug x into the large angle

3(34) + 10

Solve:

102 + 10 = 112

The large angle is 112°

Hope this helps!