The function y=0.18x+0.15 represents the percent y (in decimal form) of battery power remaining x hours after you plug in a laptop computer. Identify and interpret the slope. \

Answer: For all three functions, the direction of fastest increase at the point (1, 1, 1) is the direction of the gradient vector of the function at that point.

For function (a), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[2/x³, 2y, 22] = [2, 2, 22].

The direction of this gradient vector is given by the direction in which each of its components is increasing the most rapidly. In this case, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

For function (b), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[4y + 4z, 4x + 4z, 4x + 4y] = [4, 4, 4].

Again, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

For function (c), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[2x, 2y, 2z] = [2, 2, 2].

As before, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

Therefore, for all three functions, the direction of fastest increase at (1, 1, 1) is the direction of the positive x, y, and z axes.

Step-by-step explanation:

the answer is 5 2 9 2

really all you have to do is multiply 126 * 2 * 7 * 3

then all that's next is to just put the letters in the order they were originally at the end of the answer

Answer:

2

1

0

1

2

Step-by-step explanation:

Fund absolute value of x to find y? absolute value is magnitude or positive distance from 0

Answer:

see explanation

Step-by-step explanation:

C = 2πr ( r is the radius )

isolate r by dividing both sides by 2π )

[tex]\frac{C}{2\pi }[/tex] = r

given C = 54 , then

r = [tex]\frac{C}{2\pi }[/tex] = [tex]\frac{54}{2\pi }[/tex] = [tex]\frac{27}{\pi }[/tex] inches

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Explanation:

Segment AB is tangent to circle C. That tells us angle ABC is a 90 degree angle (the tangent is always perpendicular to the radius at the point of tangency). In other words, segments AB and BC are perpendicular. So triangle ABC is a right triangle.

The hypotenuse is AC = 22+22 = 44 units. One of the legs is BC = 22 units, due to the fact that radii of the same circle are the same length.

We then use the pythagorean theorem to find the missing leg length.

(AB)^2 + (BC)^2 = (AC)^2

(AB)^2 + (22)^2 = (44)^2

(AB)^2 + 484 = 1936

(AB)^2 = 1936 - 484

(AB)^2 = 1452

AB = sqrt(1452)

AB = 38.105118 which is approximate

AB = 38.1 after rounding to the nearest tenth

Tracy got 20 questions correct in her test.

Tracy took a test in which there are 24 questions, out of which Tracy got 5/6 correct.

Hence he got 24 x 5/6 = 20 questions correct.

An equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.

So ,an equation to model this would be:

x = 24 x 5/6

where x is the number of questions tracy answered correctly.

Hence Tracy answered 20 questions correctly.

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Answer:

the answer is 8

Step-by-step explanation:

cube root of 512 is 8

Answer:

d = 117t

Step-by-step explanation:

The equation is

y = mx + b

Here m is the function's slope, and b is the y-intercept.

We know

As the car moves at a constant speed passes a timing device at t=0.

After 9 seconds, the car traveled 1053ft.

We have to find the slope

Slope = rise/run or (y2 - y1) / (x2 - x1)

We have the slope is

m = 1053/ 9 = 117

So, the equationn is d = 117t

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Therefore , the solution of the given question of triangle comes out to be y=2.

You can link any three points in a plane to form triangles, which have three sides and three angles. They were among of the first geometric forms to be examined. Since triangles may be divided into any polygon, regardless of whether it has four, five, six, or n sides, they are very significant.

Here,

Since it is an isosceles trapezoid the length of the two legs (i.e.  AB =  4y - 6 and CD = 3y - 4) are equal.  In other words,

4y - 6  = 3y - 4.

Subtract 2y from each side:

4y - 3y - 6= -4

Now add 10 to each side

=> 4y - 3y - 6 + 4  

=> y - 2 =0

=> y = 2

Therefore , the solution of the given question of triangle comes out to be y=2.

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Answer:

-8.52, -8.15, 0.55, 8.25

Step-by-step explanation:

The lowest of negatives goes first, and the highest of positives goes last.

Answer:

from the least to the highest which is:

-8.52

-8.15

0.55

8.25

The area of quadrilateral BEFD is 15.32units²

Let the area of  ∆ABC be A

Let the area of ∆AFE be X

Let the area of ∆AFC be Y

Let the area of ∆DFC be Z

Using Ladder theorem:

1/A + 1/Y = 1/(X+Y) + 1/(Y+Z)

Since X = 4, Y = 9 and Z = 7, we have:

1/A + 1/9 = 1/(4+9) + 1/(9+7)

1/A + 1/9 = 1/13 + 1/16

1/A = 1/13 + 1/16 - 1/9

1/A = 53/1872

A = 1872/53

A = 35.32

area of  ∆ABC = area of ∆AFE + area of ∆AFC + area of ∆DFC + area of quadrilateral BEFD

35.32 = 4 + 9 + 7  + area of quadrilateral BEFD

35.32 = 20 + area of quadrilateral BEFD

area of quadrilateral BEFD = 35.32 - 20

area of quadrilateral BEFD = 15.32unit²

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A distribution is negatively skewed if the mode is larger than the mean. The final answer is C.

In a negatively skewed distribution:

A. the median is larger than the mode.

B. the mean is larger than the mode.

C. the mode is larger than the mean.

D. the mean is larger than the median.

Negatively Skewed Distribution:

left skewed distributions occur when the long tail is on the left side of the distribution. Statisticians also refer to them as negatively skewed. This condition occurs because probabilities taper off more slowly for lower values. Therefore, you’ll find extreme values far from the peak on the low side more frequently than the high side.

The distribution is negatively skewed if the data values are clustered on the right side of the curve causing it to have a peak on the right but a flatter tail on the left side. This happens when the data set has more frequently occurring higher values than lower values.

When the median is closer to the box’s higher values and the lower whisker is longer, it’s a left skewed distribution. Notice that the longer tail extends towards the lower values, making it negatively skewed.

To find out if the data set follows a normal or skewed distribution, the three measures of central tendency (mean, median, and mode) can be compared.

The mean is greater than the median. The mean overestimates the most common values in a positively skewed distribution

The distribution is negatively skewed  if the mean is lesser than the median and the median is lesser than the mode.

The given scenario is the same as negatively skewed I if the mode is larger than the mean. The final answer is C.

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Work Shown:

5|x+9| = 80

|x+9| = 80/5

|x+9| = 16

x+9 = 16 or x+9 = -16

x = 16-9 or x = -16-9

x = 7 or x = -25

x = -25 or x = 7

Answer:

Step-by-step explanation:

x + 9 = 80/5

x + 9 = 16

x = 16-9

x =

To find the number of strands needed divide the total weight by the force.

680 / 50 = 13.6

Because the answer is not a whole number you would round up to the next whole number.

13.6 rounds up to 14

The number of strands needed would be 14.

A linear equation in two variables has only 1 solution.

Now, According to the question:

Let's know:

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2. Whereas if we speak about linear equation in two variables, it has two solutions.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0.

A linear equation in two variables has only 1 solution.

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The mean of her sales over the week is 29 and the median is 27.

The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey. The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.

Here,

To find the mean you need to sum all daily sales and then divided by the number of days. If we called daily sales as xi and the number of days evaluated as N, we have that the mean can be expressed as

mean = (∑xi)/N ⇒ media = (23 + 25 + 32 + 35 + 36 + 25 + 27 )/7

⇒mean = 29.

To find the mediana you have to put the number of sales in increasing orden and then look which is the number in the middle of the serie. So

23 - 25 - 25 - 27 - 32 - 35 - 36

⇒median = 27.

Summarizing, the mean of the sales is 29 and the median 27.

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Answer:

9k + 36 represents the perimeter of the triangle.

Step-by-step explanation:

Have a nice day!

Answer: 0.640

Step-by-step explanation:

Multiply in your calculator

Answer: 10

Step-by-step explanation:

A sample space refers to the set of the outcomes that are possible during an experiment. It should be noted that the sample space is typically represented by using the symbol, “S”.

For example, in a random experiment that involves throwing a coin, the results is either the head or tail, therefore, the sample space is 2. In this case, the sample space will be:

= 1 Yellow + 2 blue + 3 red + 4 green

= 10

Answer:

Radius = 14 units

Center = ( 6, 8)

Step-by-step explanation:

The correct equation is ,

=> (x-6)² + (y-8)² = 196

=> (x-6)² + (y-8)² = 14²

=> ( x - h)² + ( y - k)² = r²

Hence on comparing we have,

Answer:

(7.5 x 10-10 kg) / (9.1 x 10-31 kg) ≅ 8.24 x 1020

Step-by-step explanation:

Divide the mass of one dust particle by the mass of one electron, and that will be your answer.

Answer:

11

Step-by-step explanation:

remember that the absolute value function always gives a positive value, that is

| - a | = | a | = a

substitute the given values into the expression

- a² - 2bc - | c |

= - (- 2)² - 2(3)(- 3) - | - 3 |

= - (4) - 2(- 9) - | 3 |

= - 4 + 18 - 3

= 14 - 3

= 11

The y-intercept of the equation 6x + 3y = -12 is -4.

Therefore the answer is -4.

The y-intercept of a linear equation is the point at which the line crosses the y-axis. In other words, it's the point at which x = 0.

To find the y-intercept of the equation 6x + 3y = -12, we can set x = 0 and solve for y.

Substituting x = 0 into the equation:

6(0) + 3y = -12

3y = -12

To find the y-intercept, we divide both sides by 3:

y = -4

So the y-intercept of the equation 6x + 3y = -12 is (0, -4). This means that when x = 0, y = -4 and the graph of this equation will cross the y-axis at the point (0, -4).

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Answer:

hi the answer is y=-3

Step-by-step explanation:

i got it right on my test

Answer:

Sooo sorry if wronge put the third one colosseums

Answer:

this is for A Part A: it shows that the least amount is 37.5 minutes

          it shows the most amount of time is 60 minutes

        one thing it does not show is how many students where in the class

Step-by-step explanation:

mrk me brainliest plz

The box plot tells us about the lower limit, first quartile, median, third quartile, and upper limit.

Step-by-step explanation:

Box plot:

It displays the five-number summary of a set of data. The five-number summary is the lower limit, first quartile, median, third quartile, and upper limit. We draw a box in a box plot from the first quartile to the third quartile. A vertical line goes through the box which represents the median. Anything that lies beyond the upper limit or the lower limit is know as an outlier.

From the information given, we can say that:

The left-most point on the plot is 20 and the right-most point is 95 which means 20 and 95 are the lower and upper limit respectively.The box is labeled 35 on the left edge and 60 on the right edge which means 35 is the first quartile and 60 is the the third quartile. A vertical line is drawn inside the rectangle at the point 55 which means 55 is the median of given data.We cannot know about the mean of data with the given information

Answer:

C:

Step-by-step explanation:

the mean would be affected but not the other 2

B) The length of GB is 3 in the given triangle.

The centroid of a triangle is the point at which the three medians of the triangle intersect. A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. The three medians divide the triangle into six smaller triangles, each with a vertex at the centroid.

The ratio in which the centroid divides a median of a triangle is 2:1. That is, the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.

So, if G is the centroid and B is the midpoint of the side opposite to point A, the ratio of EG: GB is 2:1.

so the length of GB = EG/2

so the length of GB = 3

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Complete question:

In ΔAEC, G is the centroid , as shown in the figure .

if EG = 6 ,find GB

A) 2

B) 3

C) 6

D) 9

To do 5 choose 3 on calculator, there are many methods including typing the input the mathematical expansion or in scientific calculators according to the model, there is way to represent 5C3.

The notation 5 choose 3 (also known as "5C3" or "5 comb 3") represents the number of ways to choose 3 items from a set of 5 items, also known as the binomial coefficient. It is equivalent to the formula:

5C3 = (5!) / (3! × (5-3)!)

Where "!" denotes factorial, which is the product of all positive integers up to that number.

To calculate 5C3 on a calculator, you can use the above formula and input it as follows:

5!/(3!×(5-3)!)

Most calculators have a button for factorial (symbolized by "!" or "n!"), so you can use that to calculate the factorials in the formula.

For example, on a basic calculator, you can input the following:

5!/(3!×2!)

and then press enter or the "=" button to get the result which is 10.

On some scientific or graphing calculators the notation is different, it could be represented as "comb(5,3)" or "5C3" and you just need to enter it as such.

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Answer:jhhhh

Step-by-step explanation:g by ggh

Answer:

I will assume that is 19 2/5 INCHES.

Step-by-step explanation: