you travel 243 miles in 4.5 find the speed you travel.​

The direction of the directional derivative from part (a) is in the direction of the vector `u=-2i -2j`.

Given the function `f(x,y)=\(\sqrt(x^2+y^2)\)` whose graph is a paraboloid.

The level curves of the given function are

`f(x,y)=k` or

\(`\sqrt(x^2+y^2)=k\)`

that correspond to circles of radius `k`.The directional derivative of `f` at a point `(x0,y0)` in the direction of a unit vector `u=` is given by `\(D_uf(x0,y0)\)=\(\grad f(x0,y0) . u`.a)\)

To find the value of the directional derivative at the point (1,1) in the direction `<-2,-2>`Firstly, we need to find the gradient of `f` at `(1,1)`.

grad `f(x,y)=`

`=\((x\sqrt(x^2+y^2), y\sqrt(x^2+y^2))`\)

On substituting `(1,1)` we get,

grad `f(1,1)=\(< 1\sqrt(2), 1\sqrt(2) > `\)

Now, we have a unit vector `<-2,-2>` and gradient vector `\(< 1\sqrt(2), 1\sqrt(2) > `\)

So, we have `D_uf(1,1)

=grad f(1,1).u

=\(< 1\sqrt(2), 1\sqrt(2) > . < -2,-2 > ` `\)

=\(1\sqrt(2) . (-2) + 1\sqrt(2) . (-2)\)` `

= \(-(2\sqrt(2))`b)\)

Sketch the level curve through the given point and indicate the direction of the directional derivative from part (a).

To draw the level curve, we have to draw circles of different radius with the centre at the origin. Let `k=1,2,3,4` then the level curve corresponding to the given points are

\(`\sqrt(x^2+y^2)=1`\),

\(`\sqrt(x^2+y^2)=2`,\)

\(`\sqrt(x^2+y^2)=3`,\)

`\(\sqrt(x^2+y^2)=4\)`.

Now, let's draw the level curve corresponding to `k=1`.We know that the directional derivative at `(1,1)` in the direction \(` < -2,-2 > `\) is negative.

So, the direction of the directional derivative from part (a) is in the direction of the vector `u=-2i -2j`.

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The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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Answer:

y = (x-15)/-8

Step-by-step explanation:

When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.

y = -8x + 15

x = -8y + 15

x-15 = -8y

(x-15)/-8 = y

Step-by-step explanation:

Hey there!

Given function is: y = -8x + 15

~ Interchange"X" and "y".

x = -8y + 15

~ Solve it

8y = 15-x

y = (15-x)/8

Therefore, the inverse of function is y = (15-x)/8.

Hope it helps!

Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:

Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:

Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.

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If the temperature of the turducken is 150° after half an hour, the temperature of the turducken after 45 minutes is 225 degrees.

To determine the temperature of the turducken after 45 minutes, we first need to establish the rate at which the temperature is changing.

Find the temperature change after half an hour (30 minutes)
The given temperature after 30 minutes is 150 degrees.

Calculate the rate of temperature change per minute
Temperature change / time = 150 degrees / 30 minutes = 5 degrees/minute

Determine the temperature after 45 minutes
Since the temperature increases by 5 degrees every minute, we need to find the temperature increase for an additional 15 minutes (45 minutes - 30 minutes = 15 minutes).

Temperature increase for 15 minutes = 5 degrees/minute * 15 minutes = 75 degrees

Add the temperature increase to the initial temperature
Temperature after 45 minutes = 150 degrees (initial temperature) + 75 degrees (increase) = 225 degrees

Therefore, the temperature of the turducken after 45 minutes is 225 degrees.

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The value of b after solving the expression 45= |b-12| is 57 or -33

Given,

The algebraic expression; 45= |b-12|

Algebraic expression;

An algebraic expression is an equation made up of variables and arithmetic operations like multiplication and division.

We are aware that the encoding of a modulus sign as a rand absolute value with two values a value, either positive or negative.

Here,

45= |b-12|

45 = ± (b - 12)

Solve for;

b = 45 + 12

b = 57

Solve for;

b = - 45 + 12

b = - 33

Therefore,

The value of b after solving the expression 45= |b-12| is 57 or -33

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The degree sequence of a graph is the list of degrees of its vertices arranged in non-increasing order.

For a bipartite graph $K_{m,n}$ with $m$ vertices in the first partite set and $n$ vertices in the second partite set, every vertex in the first partite set is connected to all vertices in the second partite set and vice versa. Therefore, the degree of each vertex in the first partite set is $n$ and the degree of each vertex in the second partite set is $m$.

So, the degree sequence of the bipartite graph $K_{m,n}$ is $n,n,\ldots,n$ (repeated $m$ times) followed by $m,m,\ldots,m$ (repeated $n$ times). In other words, the degree sequence consists of two blocks, each of length $m+n$, where the first block contains the degree $n$ repeated $m$ times and the second block contains the degree $m$ repeated $n$ times.

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Answer:

-0.94

Step-by-step explanation:

i've done it before.

9.  The area of the triangle is  17. 5 square units

10. The area of the rectangular shaded (lavender) area that lies behind the triangle is 72 square units

11. By counting the dots around the shapes.

The formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Given that the parameters are;

From the diagram, we have;

Area = 1/2 × 5 × 7

Area = 17. 5 square units

The formula for area of a rectangle is expressed as;

Area = lw

Substitute the values

Area = 9 × 8

Multiply the values

Area = 72 square units

Hence, the values are 17. 5 square units and 72 square units

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11/12  is the probability of NOT choosing the 3.

Probability Definition in Math -

There are 12 cards each having equals probability since all they appear once

Each card therefore has a probability of 1/12

Since there are 11 other numbers apart from 3

= 1/12 × 11

= 11/12

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Answer:

It should be 1. If y(x)= 4 then x should equal 1. This way we get 4=4 which is true.

Step-by-step explanation:

4x1 = 4, so if you substitute 1 for x in your equation you get 4.

The critical value needed to construct a confidence interval of a mean when the population standard deviation is known and the confidence level is 80% the correct answer is: O 1.645.

To find the critical value needed to construct a confidence interval of a mean when the population standard deviation is known and the confidence level is 80%, we need to look up the value from the standard normal distribution table.

The z-score corresponding to an 80% confidence level can be determined by subtracting the confidence level from 1 (to find the area in the tails) and then dividing it by 2 (since the confidence interval is divided equally into two tails).

Using this approach, we have (1 - 0.80) / 2 = 0.10 / 2 = 0.05.

Looking up the value of 0.05 in the standard normal distribution table, we find that the closest value is approximately 1.645.

Therefore, the critical value needed to construct a confidence interval of a mean with a known population standard deviation and a confidence level of 80% is approximately 1.645. So, the correct answer is: O 1.645.

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Answer:

The vertical distance in feet that the plane traveled was 4 Km

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:

\(\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}\)

Operating:

\(\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}\)

Solving for y2-y1, we get the vertical distance traveled by the plane:

\(\displaystyle y_2-y_1=6*\frac{2}{3}=4\)

Thus, the vertical distance in feet that the plane traveled was 4 Km

On solving the provided question, we can say that in rectangle W = 4.5 yd since we are unable to have a negative length. L = 2W + 1 = 10 yd

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

length  rectangle is 1 yd more than twice the width: L = 2*W + 1

e area of the rectangle

\(45 = L*W\\45 = (2W + 1)*W\\45 = 2W2 + W\\0 = 2W2 + W - 45\\\)

Factors

x\((2W-9)(W+5)\\W = 4.5 and -5\)

W = 4.5 yd since we are unable to have a negative length. L = 2W + 1 = 10 yd

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Answer:

.

Step-by-step explanation:

.

Answer:

Its B

Step-by-step explanation:

The lower and upper bounds of h - k are 42.31 and 42.49 respectively.

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.

The upper and lower bounds can be written using error intervals

The lowest value of h is 47.15

The greatest value of h is 47.24

The greatest value of k is 4.84

The lowest value of k is 4.75

Thus upper bound of h -k = 47.24 - 4.75 = 42.49

Thus lower bound of h -k = 47.15 - 4.84 = 42.31

Thus the lower and upper bounds of h - k are 42.31 and 42.49 respectively.

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Answer:

A y = 40x + 75

B 1 hour = 115

2 hour = 155

3 hour = 195

4 hour = 235

5 hour = 275

6 hour = 315

C, D, E look at pic below

plz mark brainliest

The constant C=±eB varies over all possible values of ±ke, where k is any real number, as B varies over all real numbers.

The statement "the constant C=±eB can be any real value as B varies over all real numbers" is not entirely accurate.

The constant C is given by C=±eB, where e is the mathematical constant approximately equal to 2.71828, and B is a fixed real number. When B varies over all real numbers, the constant C will also vary over all real numbers. However, the value of C cannot be any real value; it is restricted by the value of e.

Since e is a fixed constant, the possible values of C are limited to those that can be obtained by multiplying e by a real number and then taking the positive or negative value of the result. Therefore, the possible values of C are of the form ±ke, where k is any real number.

In summary, the constant C=±eB varies over all possible values of ±ke, where k is any real number, as B varies over all real numbers.

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From the figure, the coordinates center of the circle is (x, y)=(-1, -2).

The horizontal distance from the center of the circle to one point of the circle gives the radius of the circle.

So, the radius of the circle is r=4.

Now, the circumference of the circle can be calculated as,

Therefore, the approximate circumference of the circle is 25.1 units.

Option B is correct.

According to TB incidence data from 2019, the true statement about TB incidence in that year is that "The Texas TB incident rate is above the national target."

TB incidence in 2019 refers to the statistical measure of the occurrence of tuberculosis disease within a specific region or population during that year. It provides valuable insights into the number of individuals infected by TB bacteria and the reported cases of the disease within the same timeframe. In this context, the available data indicates that the TB incident rate in Texas surpasses the national target. This suggests that the incidence of tuberculosis cases in Texas exceeded the desired level set as a goal at the national level.

It's important to note that without further details, such as the specific national target or the actual incidence rates, we cannot provide precise figures or make comparisons to other options. However, based on the given statement, we can conclude that the TB incident rate in Texas in 2019 was higher than the intended national target.

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Answer: 20

Step-by-step explanation:

4 x 2 = 8

4 x 2 = 8

+

---------

16 round to twenty

The term "dependent variable" refers to a variable that is affected by another variable. The correct option is d.

A variable that is influenced by another variable is known as the dependent variable. Hence, the correct answer is option d) dependent variable. What is a variable? A variable is a characteristic or phenomenon that can take on various values.

Researchers measure them to see if they are linked to one another or to find out if one causes another. The characteristics that the researchers seek to measure can be tangible, such as the length of a telephone line, or intangible, such as the number of times a person smokes cigarettes.

The different types of variables are Independent variable Dependent variable Controlled variableWhat is an independent variable?An independent variable is a variable that isn't affected by anything in the experiment except for the introduction of the independent variable.

The experimenter selects it and manipulates it.In an experiment, an independent variable is a variable that causes a change in the dependent variable when it is altered. This is the variable that the experimenter changes to test its impact on the dependent variable.

What is a dependent variable?A dependent variable is the variable that is affected by the independent variable. It's what you measure in the experiment and what is affected by the introduction of the independent variable. The dependent variable is the response that is measured in the experiment.

A variable that is influenced by another variable is known as the dependent variable. Hence, the correct answer is option d) dependent variable.

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Therefore, the direction angle of vector v is approximately 175.25 degrees.

To find the direction angle of a vector, we use the inverse tangent function (atan2) with the y-component and x-component of the vector as parameters. In this case, the vector v has an x-component of -73 and a y-component of 7. By evaluating atan2(7, -73) using a calculator or math software, we find that the direction angle is approximately 175.25 degrees. This angle represents the counter-clockwise rotation from the positive x-axis to the vector v in the 2D plane. It provides information about the direction in which the vector is pointing relative to the reference axis.

θ = atan2(y, x)

θ = atan2(7, -73)

θ ≈ 175.25 degrees (rounded to two decimal places)

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There are 187.425 pounds in 85 kilograms. The solution has been obtained by using the unit conversion.

What is unit conversion?

The same feature is expressed in a different unit of measurement using a unit conversion. For instance, you may represent time in minutes rather than hours or distance in feet rather than miles. It happens frequently when measurements are given in one set of units, like feet, but are demanded in another set, like chains.

We are given 85 kilograms which are to be converted into pounds.

We know that 1 kilogram = 2.205 pounds(approx)

So,

⇒85 kilograms = 85 * 2.205

⇒85 kilograms = 187.425 pounds

Hence, there are 187.425 pounds in 85 kilograms.

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|x - 30| = 10 is the correct equation for calculating Jack's maximum and minimum time to fold his laundry. he correct option is D.

The problem statement says that Jack's time can vary from the average of 30 minutes by 10 minutes. This means that the maximum and minimum time will be 30 minutes plus or minus 10 minutes, or 40 minutes and 20 minutes, respectively. We can represent these values using the variable x.

The maximum time will be represented by x + 10 and the minimum time will be represented by x - 10. We can use the absolute value function to represent the difference between these two values and the average time of 30 minutes.

The absolute value function is represented as |x|. The absolute value of x is the distance between x and 0 on a number line. For example, the absolute value of -5 is 5, because the distance between -5 and 0 on a number line is 5 units.

Using the absolute value function, we can represent the difference between the maximum and minimum times and the average time of 30 minutes as follows:

|x + 10 - 30| = |x - 30| = 10

|x - 20| = 10

|x - 30| = 10

Therefore, the correct equation is |x - 30| = 10.

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It is possible to calculate the probability that in the last 6 questions, there were fewer than 2 right answers, which is 53.392%.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our question-

The likelihood that responses to fewer than two of the final six questions were right can be calculated using the procedure below:

There are 6 questions with a total of 4 possible answers, hence the value of p is:

The following formula provides the probability:

The following formula is used to calculate the likelihood that Ira would properly answer exactly 1 of the final 6 questions:

P(X = 1) = 0.35595

P(X = 0) = 0.17797 gives the likelihood that Ira will correctly answer 0 out of the final 6 questions.

 Accordingly, the likelihood that the last 6 questions' answers contain fewer than 2 valid responses is: P = 0.17797 + 0.35595.

P = 0.53392

P = 53.392%

Hence, the probability that in the last 6 questions, there were fewer than 2 right answers, which is 53.392%.

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try number 4 I thinks its that one or number 1

Answer:

850/10+6=53.125

53.13/2

Step-by-step explanation:

Answer:

7, 10, 13, 16

Step-by-step explanation:

Given,

Frist term=7

term-to-term rule is add 3

Therefore first three terms will be

7, 7+3=10, 10+3= 13, 13+3=16