A portion of a hiking trail slopes upward at about a 6° angle.To the nearest tenth of a foot, what is the value of x, thehiker's change in vertical position, if he has traveled a

The value of x in the above diagram is 9

A triangle is a polygon with 3 sides and 3 angles.

Triangles are of different types: isosceles, equilateral, scalene and right-angle triangles.

from the diagram, the triangle is and isosceles triangle and for isosceles triangle the base angles are equal.

so that,

5x+36 = 9x

by collecting like terms,

9x - 5x = 36

4x = 36

x = 36/4

x = 9

In conclusion the solution to the given problem is x = 9

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In order to express the confidence interval in the form p ± E, first we have to determine the midpoint of the interval, like this:

The value of the error, E, can be calculated by taking the difference between p and the end of the interval, like this:

Then, we can express 0.555 < p < 0.999 in p + E notation as 0.777 ± 0.222

The confidence interval can be written as 0.777 ± 0.222.

The confidence interval 0.555 < p < 0.999 can be expressed in the form of p ± E.

To find the margin of error (E), we can subtract the lower limit (0.555) from the upper limit (0.999) and divide it by 2:

E = (0.999 - 0.555) / 2

E = 0.222

Therefore, the confidence interval 0.555 < p < 0.999 can be expressed as:

p ± E

where p is the point estimate and E is the margin of error. In this case, the point estimate would be the midpoint of the interval, which is the average of the lower and upper limits:

p = (0.555 + 0.999) / 2

p = 0.777

Hence, the confidence interval can be written as 0.777 ± 0.222.

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Answer:

$3.86

tell me if im wrong

Answer:

6: your answer is correct

7: C=2.7m+1.95

Step-by-step explanation:

6:

5   15.25

10.   28.95

15.    42.45

20.    55.95

question 7

slope intercept form is y=mx+b

m is slope and b is y intercept

Slope is 2.70 since that is how much we go up for a mile

And 1.95 is y intercept since it is where we start no matter what and we have to add that constant fee every time

y=2.70x+1.95

We change the y to c and the x to m to fit the problem

C=2.70m+1.95

Hopes this helps please mark brainliest

The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.

A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.

Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.

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A representative sample is one that accurately depicts the a population> This representative sample can be determined through sampling. The examples of sampling methods used are random sampling, stratified random sampling

The equation for the line of best fit is given by:

y = mx + b

In which m is the slope

They are given by:

Sum of x:

Sum of all values of x.

Sum of y:

Sum of squares of x:

Sum of xy:

Slope:

14 students, so n = 14.

Then

The line of best fit is y = 0.38x + 2.36. This means that for a parents that smokes x cigarettes a day, the child is expect to miss 0.38x + 2.36 days of school during the quarter.

Graphic

The answer is option B

(1, 2) and (-3, -6)

Using logical reasoning, we can say that the 0 meter represents the (C) finish line.

So, we know that:

Therefore, using logical reasoning, we can say that the 0 meter represents the (C) finish line.

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Correct question:
Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before

the finish line and positive numbers to represent points after the finish line.

On Jonas's map, there is a bridge at -91 meters, and a restaurant is at 14 meters.

What do 0 meters represent?

Choose 1 answer:

(A) The restaurant

(B) The bridge

(C) The finish line

Answer:9

Step-by-step explanation:

it is the same as 3x3

Answer: 2x

Step-by-step explanation: The answer is 2x, because on the LHS, 9x - 7x = 2x, so the LHS is 2x + 5, if we make the RHS 2x - 7, the equation will become 2x + 5 = 2x - 7, this makes the equation unsolvable

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

The speed of the river is 7.5 kilometers per hour.

Let the speed of boat in still water = u = 14 km/h

Let the speed of river = v = x km/h

Upstream speed = u - v = 14 - x

Downstream speed = u + v = 14 +x

Distance paddled upstream = [tex]D_{1}[/tex] = 5 km

Distance paddled downstream = [tex]D_{2}[/tex] = 10 km

Time taken (upstream) = [tex]T_{1}[/tex] = [tex]\frac{D_{1} }{u-v}[/tex]

Time taken (downstream) = [tex]T_{2}[/tex] = [tex]\frac{D_{2} }{u+v}[/tex]

According to question,

        [tex]T_{1}[/tex] = [tex]T_{2}[/tex]

      [tex]\frac{D_{1} }{u-v}[/tex] = [tex]\frac{D_{2} }{u+v}[/tex]

     [tex]\frac{5}{14-x}[/tex] = [tex]\frac{10}{14+x}[/tex]

5(14 + x) = 10(14 - x)

   14 + x = 2(14 - x)

   14 + x = 28 - 2x

  x + 2x = 28 - 14

        3x = 14

          x = [tex]\frac{14}{3}[/tex]

          x = 7.5

Hence, Speed of river is 7.5 km/h.

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Answer:

X= -B+2A

Step-by-step explanation:

Hope this helps and sorry if I'm wrong

Step 1. First, let's define the variable we are going to use:

Step 2. Find the first equation from the information about James.

James spends $77 on 7 daylilies and 8 shrubs, this is described in the following equation:

Step 3. To find the second equation we use the information about Liz.

Liz spends $140 on 14 daylilies and 14 shrubs. The equation describing this is:

Since all of the numbers involved in this equation are multiples of 14, we can divide the whole equation by 14 to simplify it:

Step 4. Define the system of equations.

From step 2 and step 3 we have our two equations:

Step 5. The method we will use to solve this system of equations is the substitution method. To use this method, we solve one of the equations for 1 variable. In our case, we solve the second equation for d:

And the second step of the substitution method is to substitute that value into the first equation:

Step 6. Solve the previous equation for s.

using the distributive property to multiply 7 by 10 and 7 by -s:

Combining like terms:

Subtracting 70 to both sides of the equation:

The cost of one shrub is $7.

Step 7. Now that we know the value of s, we can find the value of d using the equation we had previously solved for d in step 5:

Substituting s=7:

The cost of one daylily is $3.

Answer:

The cost of one shrub is $7 and the cost of one daylily is $3.

The first step in solving for a in the equation would be:

1.distribute -4 to a and -5, then:

2a-4a+20=10

Now the next steps in solving for a:

2.Add 2a and -4a :

-2a+20=10

3.Substract 20 to both sides

-2a+20-20=10-20

then:

-2a= -10

4.Finally, divide both sides by -2

then, a=5

The linear equation for the given table is y = 10*x - 8.

A general linear equation in the slope-intercept form is:

y = m*x + b

where m is the slope and b is the y-intercept.

The y-intercept is the value of y when x = 0, on the table we can see the pair (0, -8), then the y-intercept is -8.

y = m*x - 8

Using another pair from the table, like (1, 2), we can replace these values in the above linear equation:

2 = m*1 - 8

2 + 8 = m

10 = m

Then the linear equation is:

y = 10*x - 8

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Answer:

x= 3

y=0

Step-by-step explanation:

y = -x + 3

y = 2x - 6

-x + 3 = 2x -6

3 + 6 = 2x + x

9 = 3x

3 = x

y = -3 + 3

y = 0

Answer:

(3,0)

Step-by-step explanation:

Answer:

D. 5.

Step-by-step explanation:

Yes.

In order to create three statistics problems, we can use the concepts of mean, median and mode.

The mean of a data set is the sum of all values divided by the number of values.

The median of a data set is the middle term of the set in crescent order (if the set has an even number of values, the median is the mean between the two middle values).

The mode of a data set is the value that repeats the most in the set.

So, for our three questions, let's use the following data set:

The three problems are:

1) Calculate the mean of the data set

2) Calculate the median and the mode of the data set

3) Which one is greater: mean, median or mode?

The tray of gelatin that would taste more like lemon would be = the both trays.

A dessert is defined as the part of a course meal that is usually taken at the end of a three course meal.

In the making of a gelatin dessert by Luke he made the following combinations;

strawberry gelatin and lemon gelatin = Large tray

½ strawberry gelatin and ½ lemon gelatin = Small tray

The tray that will taste more of lemon would be the both trays because the same measurement of lemon gelatin was used for both the large and small tray.

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Answer:

neither

Step-by-step explanation: its just neither

Answer:

3

Step-by-step explanation:

you can eliminate x with 3 if you multiply the second equation with 3

The magnitude of the vector is v = [tex]\sqrt{52}[/tex]

and the angle of the vector θ = 10 degrees

An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.

Given ; Vector =  v = 6i+ 4j

The given points are ( 6 , 4 )

x = 6 units and y = 4 units

The magnitude of the given vector can be calculated by :

v = [tex]\sqrt{6^2 + 4^2}[/tex]

v = [tex]\sqrt{36 + 16}[/tex]

v = [tex]\sqrt{52}[/tex]

the magnitude of the vector = v = [tex]\sqrt{52[/tex]

The angle of the vector :

tan θ = [tex]\frac{y}{x}[/tex]

tan θ = [tex]\frac{4}{6}[/tex]

tan θ = 2/3

thus θ = tan-1 2/3

θ = 10.3°

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The polynomic function p(x) = - x⁵ - 6 · x⁴ + 32 · x² is shown in the image of the Cartesian plane attached below.

In this question we must write the polynomial function and sketch the resulting curve on a Cartesian plane. We are going to take advantage of the definition of the factor form of the polynomial function:

p(x) = a · Π (x - r), for i = {1, 2, 3, ..., n}

Where:

First, choose the negative lead coefficient:

a = - 1

Second, choose the roots of the polynomic root:

p(x) = - (x + 4)² · (x - 2) · x²

Third, expand the polynomic function:

p(x) = - (x² + 8 · x + 16) · (x - 2) · x²

p(x) = - (x² + 8 · x + 16) · (x³ - 2 · x²)

p(x) = - (x⁵ + 8 · x⁴ + 16 · x³ - 2 · x⁴ - 16 · x³- 32 · x²)

p(x) = - (x⁵ + 6 · x⁴ - 32 · x²)

p(x) = - x⁵ - 6 · x⁴ + 32 · x²

Fourth, sketch the polynomic function with a graphing tool.

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to get the slope of any straight line, we simply need two points off of it, let's use the points in the picture below

[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-5)}}} \implies \cfrac{-2}{0 +5} \implies \cfrac{ -2 }{ 5 } \implies {\Large \begin{array}{llll} - \cfrac{2 }{ 5 } \end{array}}[/tex]

First, we write out the probability formula:

Total number of tickets = 13

Pr(both Ashley and Matt win) = Pr(Ashley wins) x Pr(Matt wins)

The final answer is 1/169

In order to express our answer as a percentage, we multiply by a 100%

= 1/169 x 100% = 0.592% ( to 3 significant figures)

Step-by-step explanation:

2.

angle B is congruent to angle B'.

side BC is congruent to side B'C'.

3.

angle pairs 1 and 3, 2 and 3, 5 and 7 are supplementary (together they have 180°).

4.

please burn this into your brain for all times : the sum of all angles in a triangle is always (yes, always) 180°.

so,

angle J + 17 + 84 = 180

angle J = 180 - 17 - 84 = 79°

5.

and here we use it again.

isoceles means that the triangle has 2 equally long legs. that makes also both base angles equally large.

apex angle + 24 + 24 = 180

apex angle = 180 - 24 - 24 = 132°

y=9-4x/3
you need to isolate y so you divide 3 on both sides.

y=3-4/3x

Answer:

18

Step-by-step explanation:

6lb

*3

6lb*3=18