3. ( 2 points) Find the value of \( a \) for which \[ v=\left[\begin{array}{c} -4 \\ a \\ -5 \\ -9 \end{array}\right] \] is in the set \[ H=\operatorname{span}\left\{\left[\begin{array}{c} 4 \\ 4 \\ 4

Answer:

w ≈ 640 feet

Step-by-step explanation:

Let's call the distance from the hiker's position to the closest edge of the river "x", and the width of the river "w". We can use trigonometry to set up two equations involving these values:

In the first triangle, the angle of depression is 63 degrees, and the opposite side is x + w. Therefore, we can use the tangent function:

tan(63) = (x + w) / 1250

In the second triangle, the angle of depression is 61 degrees, and the opposite side is x. Therefore, we can use the tangent function again:

tan(61) = x / 1250

Now we can solve these equations for "w" and "x", respectively:

w = 1250 * tan(63) - x

x = 1250 * tan(61)

Substituting the second equation into the first:

w = 1250 * tan(63) - 1250 * tan(61)

Plugging this into a calculator, we get:

w ≈ 640 feet

Therefore, the width of the river is approximately 640 feet rounded to the nearest foot.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{3.8\% of 25}}{\left( \cfrac{3.8}{100} \right)25}\implies \text{\LARGE 0.95}[/tex]

Answer:

To find 3.8% of 25, we can convert the percentage to a decimal and then multiply it by 25:

3.8% = 0.038 (converting percentage to decimal)

0.038 x 25 = 0.95

Therefore, 3.8% of 25 is 0.95.

The given differential equation is y" − 2y' + y = 0. To solve this equation, we need to use the characteristic equation, which is given by r^2 − 2r + 1 = 0.

The two solutions to this equation are r = 1 ± i. Thus, the general solution to the differential equation is y(x) = C_1e^(x) + C_2e^(-x)cos(x) + C_3e^(-x)sin(x).

We can use Maxima to verify our solution. To do this, we plug in the boundary conditions, y(π) = e ^π and y'^ (π) = 0, and solve for the constants C1, C2, and C3. This gives us C1 = 1, C2 = -1, and C3 = 0. Thus, the solution to the differential equation is y(x) = e^x - e^(-x)cos(x).

To plot the solution, we can use Maxima's plot2d function with the given solution.

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Rogelio has watched 23/20 hours of the movie.

What is a fraction?

A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator. The numerator defines the number of equal parts taken, whereas the denominator defines the total number of equal parts in a whole.

Movie duration = 1 3/4 = 7/4

Duration of movie watched = 3/5

Duration watched = 7/4 - 3/5

Duration watched = 23/20

Duration watched = 1 3/20 (mixed fraction)

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Answer:

Than thats great

Answer: 30 millimeters

Step-by-step explanation:

Diameter = Circumference / π

Plug in values:

d = 94.2 / 3.14

d = 30

The diameter is 30 millimeters.

Answer: A maximum height corresponds to:

B. h(t) = 26,200 - 16t^2

A minimum height corresponds to:

C. h(t) = 6 for 7 ≤ t ≤ 8

Height staying the same corresponds to:

D. h(t) = 12 for 2 ≤ t ≤ 3

Starting height corresponds to:

A. h(0) = 7

Using the provided data, we can find the function values that correspond to the given times:

h(1.5) = 26,200 - 16(1.5)^2 = 26,157

h(4) = 16

Therefore, the statement that corresponds to "6-7" is missing from the given options.

Step-by-step explanation:

Alternate interior angles = ∠7 and ∠9.

Corresponding angles = ∠1 and ∠7

Vertical angles = ∠4 and ∠11

∠7 = 60°

∠8 = 120°

∠9 = 60°

When two lines meet, they intersect at an angle. By using the symbol, we may symbolise an angle.

Two lines meet at the common vertex of an angle, which has one common leg. A straight line's one side always has a total angle of 180 degrees. On the other hand, a point's surrounding angles are always added up to 360 degrees.

Here,

We can see that the Alternate interior angles = ∠7 and ∠9.

Corresponding angles = ∠1 and ∠7

Vertical angles = ∠4 and ∠11

Given, ∠1 = 60°

Now similarly, using the angles properties we can ind the rest of the angles.

∠7 = 60°

∠8 = 120°

∠9 = 60°

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The average percentage of time spent studying is 8.64%.

To find the average percentage of time spent studying, we need to first add up the total hours and total percentage of all the students. Then, we can divide the total percentage by the total hours to find the average percentage of time spent studying.

Total hours = 18 + 10 + 2 + 6 + 8 = 44 hours
Total percentage = 100% + 80% + 50% + 70% + 80% = 380%

Average percentage = Total percentage / Total hours = 380% / 44 hours = 8.64%
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Complete question

Find the average percentage of time spent on studying. data. Nina: 18 hours, 100%; Johannes: 10 hours, 80%; Al-Rahim: 2 hours, 50%; Caroline: 6 hours, 70%; Saul: 8 hours, 80%

Answer:

Step-by-step explanation:

Ratio of corresponding sides are equal.

[tex]\tt \cfrac{BD}{FD} =\cfrac{AC}{EC}[/tex]

[tex]\tt \cfrac{BC}{30} =\cfrac{16}{40}[/tex]

[tex]\tt BD=30\left(\frac{2}{5}\right)[/tex]

[tex]\tt BC=6\cdot \:2[/tex]

[tex]\tt BD =12[/tex]

Therefore, the length of BD is 12.

___________________________

Hope this helps! :)

Answer:

enter the step by step answer u did and then add the number the match and enter them in the box and u shall be done

Step-by-step explanation:

The measures of arcs and segments are

NK = 12, MLK = 41.5 degrees, JK = 24 and JPK = 277 degrees

Length NK

Given the triangle as the parameter.

Using the Pythagoras theorem, we have

NK = √(KL² - LN²)

So, we have

NK = √(15² - 9²)

Evaluate

NK = 12

The arc measure MK

Here, we start by calculating the central angle MLK

This is done using the following cosine ratio

cos(MLK) = NK/KL

cos(MLK) = 9/12

cos(MLK) = 0.75

Evaluate

MLK = 41.5 degrees

This means that

Arc MK = 41.5 degrees

Length JK

This is calculated as

JK = NK * 2

So, we have

JK = 12 * 2

JK = 24

The arc measure JPK

This is calculated as

JPK = 360 - 2 * MK

So, we have

JPK = 360 - 2 * 41.5 degrees

Evaluate

JPK = 277 degrees

Hence, the arc measure is 277 degrees

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Therefore, the equation of the line that passes through the point (4, -3) and has a slope of 1 is y = x - 7.

The equation of a line that passes through a given point and has a given slope can be found using the point-slope formula: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the given slope.

In this case, the given point is (4, -3) and the given slope is 1. Plugging these values into the point-slope formula, we get:

y - (-3) = 1(x - 4)

Simplifying the equation, we get:

y + 3 = x - 4

y = x - 7

Therefore, the equation of the line that passes through the point (4, -3) and has a slope of 1 is y = x - 7.

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Answer: if there is a none of the above answer I would choose that otherwise your best bet might be A.  

Answer:

the first one:  1:39

the second one: 7:12

the third one: 10:24

Step-by-step explanation:

the short hand points to the hour and the long hand points to the minutes. when the long hand is at 1, that's 5 minutes and when it's at 2, that's 10 minutes and so on and so forth. and each of the little dash marks in between the numbers is 1 minute.

i hope this was correct, i'm not great with time

Question 1:

Question 2:

Question 3:

We can state this by responding to the provided question Each friend's equation portion of the tab and the tip is represented by the equation x = 60.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

The circumstance, where x is the cost of the groceries, is represented by the equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction. As the lunch cost and the gratuity were shared equally among the eight companions, this equation accurately depicts the total sum that each of them paid.

The scenario is represented by the equation 8 (x + 16) = 76, where x is the cost of the groceries. This calculation is incorrect since it includes the tip and includes the total amount paid by all 8 friends rather than just the cost of the meal.

Each friend's portion of the tab and the tip is represented by the equation x = 60.

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The meaning of each of the labelled digits as required to be determined in the task content are;

As evident from the task content; it so required that the numbers as labelled to be identified in terms of what they represent.

Recall; mixed numbers result from the evaluation of improper fractions.

Hence, given the mixed number; 2 ⅓.

The number 2 which is whole is; the quotient.

The number 3 which is the denominator is the divisor.

The number 1 which is the numerator is the remainder.

Complete question; The number is 2⅓.

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The rational root theorem, as its name suggests, is used to find the rational solutions of a polynomial equation (or zeros or roots of a polynomial function). The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials.

A polynomial doesn't need to have rational zeros. But if it has rational roots, then they can be found by using the rational root theorem.

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In the given triangle of attached figure , the required value of x and y is given by option d. x=24.0,y=46.4 ( nearest tenth ).

Let us consider triangle name of the attached figure be ABC,

From vertex A perpendicular line intersect BC at point D.

From the attached figure,

Measure of ∠B = 45°

Measure of ∠C = 30°

Side length AC = 34 units

Side length AB = x units

Side length BC = y units

In triangle ADC,

sin C = AD / AC

Substitute the value we have,

⇒ sin 30° = AD / 34

⇒ AD = ( 1/2 )× 34

⇒ AD = 17

And cos C = CD / AC

Substitute the value we have,

⇒ cos 30° = CD / 34

⇒CD = 34 × cos 30°

⇒ CD = 34 × (√3 /2 )

⇒ CD = 29.45 units

In triangle ADB,

sin B = AD/ AB

⇒ sin 45° = 17 / x

⇒ x = 17 / sin 45°

⇒ x = 17 / ( 1/√2)

⇒ x = 17√2

⇒ x= 24.038 units

⇒ x= 24.0 units ( nearest tenth )

Now in triangle ABD,

cos B = BD/ AB

⇒ cos 45° = BD / 24.0

⇒ BD = 24 × cos 45°

⇒ BD = 24× (1/√2)

⇒ BD = 16.97units

y = BD + CD

 = 16.97 + 29.45

 = 46.42

  = 46.4 units ( nearest tenth )

Therefore , the value of x and y from the attached figure is equal to option d. x=24.0,y=46.4.

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The above question is incomplete, the complete question is:

Find the value of x and y to the nearest tenth.

a. x=48.1,y=46.4

b. x=48.1,y=139.3

c. x=24.0,y=139.3

d. x=24.0,y=46.4

Figure is attached.

If FG = 8, EH = x - 1: EG = x + 1​

In order to find EG, we need to use the fact that the sum of the lengths of the segments EF and FG is equal to the length of segment EG. That is,

EF + FG = EG

We are given that FG = 8, and we know that EH + HF = EF. Therefore,

EF = EH + HF

Putting this all together, we get:

EF + FG = EG

(EH + HF) + 8 = x + 1

EH + HF = x - 7

But we also know that EH = x - 1, so we can substitute that in:

x - 1 + HF = x - 7

Simplifying this equation, we get:

HF = -6

Now we can use the fact that the sum of the lengths of the segments EH and HF is equal to the length of segment EF. That is,

EH + HF = EF

(x - 1) + (-6) = EF

x - 7 = EF

Finally, we can substitute this value for EF into our original equation to find EG:

EF + FG = EG

(x - 7) + 8 = EG

x + 1 = EG

Therefore, EG = x + 1.

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Answer:

20 fries per minute.

Step-by-step explanation:

You are trying to find the amount of fries per minute, assuming that Sally eats the same amount each minute. It is given that there are 20 minutes and 400 fries in all. Divide the total amount of fries with the total amount of minutes:

(400 total fries)/(20 minutes) = (20 fries/minute)

20 fries per minute is your answer.

~

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coefficient of correlation is 0.82

a) (i) The scatter plot of the data given is:



(ii) The scatter plot suggests that there is a positive linear relationship between x and y, as the data points move in an upward trend.

b) (i) The fitted line of the regression model is: y = 2.06 + 0.68x

(ii) When x = 250, the predicted value of y is 165.0

(iii) Missing values A, B, C, D, and E in the table are:

A = 3410, B = 5, C = 1, D = 5, E = 6.59

(iv) An estimate of the variance σ2 is 5.98

c) (i) The F-value for the F-test is 6.59, and the p-value is 0.02. This suggests that there is a significant linear relationship between x and y, as the p-value is less than 0.05.

(ii) The percentage of variation in y explained by x is 68.1%.

(iii) The coefficient of correlation is 0.82, indicating that there is a strong positive linear relationship between x and y.

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Benito and his family will save $1,315 by the move to Oakland.

Savings in house = $1200 - $565

                               = $635

Savings in food = $655 - $545

                          = $110

Saving in health care = $495 - $245

                                   = $250

Saving in taxes  = $625 - $450

                          = $175

Saving in necessities = $495 - $350

                                   = $145

Total saving = $635 + $110 + $250 + $175 + $145

                    = $1,315.

Hence, Benito and his family will save $1,315 by the move to Oakland.

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Your question is incomplete, the complete question is:

Benito's family is thinking of relocating from Los Angeles to Oakland to save money. They set up a budget comparing the cost of living for both cities.

Oakland     Los Angeles  

Cost Housing       $565        $1200

Food                     $545        $655

Health Care         $245        $495

Taxes                    $450         $625

Other Necessities $350        $495

How much money will they save monthly by the move to Oakland? $1315, $1560, $1665, or $1765?

you will need to know trig functions;

a)

tan(45) = 7/a

you want to solve for "a", online calculator should give you the option for trig functions.

a = ~4.32

The probability is 4/8 = 1/2. The probability that the student answered True at least two times is 1/2.

The number of residents in a city is a discrete variable because it is a countable number of people. The level of measurement is a ratio level because there is a true zero point (no residents in a city) and the difference between values is meaningful. Therefore, the correct answer is discrete, ratio level.

The sample space for the three True (T) or False (F) questions is: {TTT, TTF, TFT, FTT, FTF, FFT, TFF, FFF}

The outcomes corresponding to the event "The student answered True at least two times" are: {TTT, TTF, TFT, FTT}

To evaluate the probability of the event "The student answered True at least two times", we need to divide the number of favorable outcomes by the total number of possible outcomes. The number of favorable outcomes is 4 (TTT, TTF, TFT, FTT) and the total number of possible outcomes is 8 (TTT, TTF, TFT, FTT, FTF, FFT, TFF, FFF). Therefore, the probability is 4/8 = 1/2. The probability that the student answered True at least two times is 1/2.

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The probability of choosing the lists of students from the class is given by combinations C = 2400 ways

The number of ways of selecting r objects from n unlike objects is given by combinations

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total ways of choosing the students from the class be C

Now , the total number of boys = 12 boys

The total number of girls = 10 girls

And , the lists are in the order

A = { boy , girl , boy }

B = { girl , boy , girl }

The total number of ways C = A + B

From the combination of selecting boys and girls , we get

The total number of selecting A = 12 x 10 x 11 = 1320 ways

The total number of selecting B = 10 x 12 x 9 = 1080 ways

So , the total number of selecting the lists C = 2400 ways

Hence , the probability of choosing the lists of students from the class is given by C = 2400 ways

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Answer: 2

Step-by-step explanation:

Answer and Explanation: The only even number that is not a composite number is 2. All even numbers are defined as numbers that are divisible by, or have a divisor of, 2.

Answer:

The answer to your question is, 2

Step-by-step explanation:

The reason why that is our answer is because, 2 can either be multiplied and divided but 2 NUMBERS.

Such as the following:

2 / 1 = 2.

1 x 2 = 2.

What is a composite number?

A composite number are numbers that have more than two factors like the number 2:

2 / 1 = 2.

1 x 2 = 2.

Thus the answer to your problem is, 2

Using midpoints, The length of RY is (9x - 1)/2 cm.

A midpoint is a point that is exactly halfway between two other points. In geometry, the midpoint of a line segment is the point on that line segment that is equidistant from both endpoints.

For example, in a line segment AB, the midpoint M is the point on AB that is equidistant from A and B. In other words, the distance from A to M is the same as the distance from M to B. The midpoint M is located at the exact center of line segment AB, and it divides the segment into two equal parts.

The midpoint can also be thought of as the average of the x-coordinates and y-coordinates of the endpoints. For a line segment with endpoints (x1, y1) and (x2, y2), the midpoint has coordinates:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Since R is the midpoint of XY, we know that RX = RY.

We are given that XR = 5x+2 cm and XY = 14x+1 cm.

Thus, RX + RY = XY

Substituting RX = RY, we get:

RY + RY = 14x + 1 - (5x + 2)

Simplifying the right side, we get:

RY + RY = 9x - 1

2RY = 9x - 1

RY = (9x - 1)/2

Therefore, the length of RY in cm is (9x - 1)/2.

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The 6-day SMA for the given closing prices is as follows:

Day 1: 2.63

Day 2: 2.63

Day 3: 2.61

Day 4: 2.59

Day 5: 2.54

To calculate the 6-day Simple Moving Average (SMA) for the given closing prices, we need to take the sum of the last six closing prices and divide it by 6. Then we move one day forward and repeat the process until we have calculated the SMA for each day.

Here are the calculations:

Day 1: SMA = (2.65 + 2.63 + 2.70 + 2.63 + 2.50 + 2.65) / 6 = 2.63

Day 2: SMA = (2.63 + 2.70 + 2.63 + 2.50 + 2.65 + 2.66) / 6 = 2.63

Day 3: SMA = (2.70 + 2.63 + 2.50 + 2.65 + 2.66 + 2.56) / 6 = 2.61

Day 4: SMA = (2.63 + 2.50 + 2.65 + 2.66 + 2.56 + 2.52) / 6 = 2.59

Day 5: SMA = (2.50 + 2.65 + 2.66 + 2.56 + 2.52 + 2.37) / 6 = 2.54

Therefore, the 6-day SMA for the given closing prices is as follows:

Day 1: 2.63

Day 2: 2.63

Day 3: 2.61

Day 4: 2.59

Day 5: 2.54

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A baseball is hit so that its height, s, in feet after t seconds is S= - 16t² +60t+2. Based on the inequality, the ball is at least 46 feet above the ground in [0.20, 1.55] seconds.

To find the period of time the ball is at least 46 feet above the ground, we first need to solve the given inequality, which will be:

Simplifying, we find the following value:

Dividing both sides by -4, we find:

So, to solve this inequality, we can use the quadratic formula:

Plugging these values into the formula, we get:

Simplifying this expression, we get:

Therefore, it follows that the ball is at least 46 feet above the ground during the time period:

So, rounded to two decimal places, this is approximately:

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