17. A glider lands 26 miles west and 12 miles south from where it took off. The result of the trip
can be described by the vector (-26, -12).
What is another description of this vector using distance (for magnitude) and direction?

about 29 miles at 25° south of west
about 25 miles at 29° south of east
about 29 miles at 25° south of east
about 25 miles at 29° south of west

Answer:

d. 5408 Birr.

Step-by-step explanation:

24 months  = 2 years.

Amount after 2 years = 5000(1 + 0.04)^2

= 5408.

Answer:

  -8

Step-by-step explanation:

Put the given values where the corresponding variables are, and do the arithmetic.

__

  f(x) = 12 -3x

  f(5) = 12 -3(5) = -3

__

  j(x) = x² +4x -1 = (x +4)x -1

  j(-2) = (-2 +4)(-2) -1 = 2(-2) -1 = -5

__

  f(5) +j(-2) = -3 +(-5) = -8

Answer:

C. 60

Step-by-step explanation:

Answer:

The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

It is defined as the combination of constants and variables with mathematical operators.

We have:

[tex]\rm = 3^{\dfrac{6}{5}}[/tex]

We can write it as:

[tex]\rm = \sqrt[5]{3^6}[/tex]

The value of a = 3,

The value of b = 6, and

The value of c = 5

Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

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Answer: 71/28 or 2 15/28

Step-by-step explanation:

Turn both fractions into improper fractions.

5 1/4 = 21/4

2 5/7 = 19/7   multiply the denominator with the whole then add the     numerator, same denominator.

21/4 - 19/7 = ?  find common denominator to subtract

4 x 7 = 28  common denominator

Divide the new denominator by previous denominators then multiply by each respective numerator. 28 divided by 4 is 7 multiplied by 21 is 147, the same happens with 19/7.

147/28 - 76/28 = 71/28 or 2 15/28

Answer: D) 80 degrees

Step-by-step explanation:

Answer:

-13.5

Step-by-step explanation:

-6.52-6.98=-13.5

This is not really a random sample. The athletes are heavily biased toward loving sports. Likely they'll pick their favorite sport to be the one they are currently playing.

Example: if basketball players are asked their favorite sport, they likely might pick basketball.

A much better approach is to randomly select names from a hat, use computer software, or a random number table. This will produce a more random sample to help better represent the population.

Answer:

740

Step-by-step explanation:

10^2 = 100

So 7.4 * 10^2

= 740

Answer:

6.5 = h + 2

h = 4.5

Step-by-step explanation:

We are given h and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find h, we set the equation equal to 6.5

Answer: 30.5

Step-by-step explanation:

Answer: 19/28

Step-by-step explanation:

p(student plays basketball)=  14/28

p(student plays baseball)=  7/28

2 students play both sports= 2/28

⇒ 14/28+ 7/28 - 2/28 = 19/28

Answer:

13.9%

Explanation:

Rolling for 2 : (1, 1)

Rolling for 5 : (1, 4), (4, 1), (2, 3), (3, 2)

So, there are (4 + 1) = 5 possible outcomes out of 36 outcomes

Note: There are 36 outcomes when rolling a two fair cubes.

[tex]\sf Probability = \dfrac{possible \ outcomes}{Total \ outcomes}[/tex]

[tex]\rightarrow \sf \dfrac{5}{36} \ x \ 100[/tex]

[tex]\rightarrow \sf \dfrac{125}9} \%[/tex]

[tex]\rightarrow \sf 13.9 \%[/tex]

Part A: She needs to collect different types of data to form her classmates. It will help her to find which student spends the most time playing musical instruments.

Part B: Yes, it is a statistical question.

Zoe needs two main data from each of her classmates.

1. Name of her classmates.

2. Which student spends how much time playing musical instruments.

After that, she can make a graph or a chart in order to understand which student spends more time playing musical instruments.

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Answer:

the answer is C

Step-by-step explanation:

as you can see f(x) cut g(x) 3 time ( sorry for my bad English )

The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.

To calculate the range of a data set, you need to find the difference between the maximum and minimum values.

Given the data set: 33, 38, 35.5, 39.25, 31.75

To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.

To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.

Now, we can calculate the range by subtracting the minimum value from the maximum value:

Range = Maximum value - Minimum value

      = 39.25 - 31.75

      = 7.5

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Answer:

b = 8

Step-by-step explanation:

1.3b + 2 = 12.4

- Subtract 2 from both sides

1.3b = 12.4 - 2

- Subtract 2 from 12.4 to get 10.4.

1.3b = 10.4

- Divide both sides by 1.3.

b = [tex]\frac{10.4}{13}[/tex]

- Expand [tex]\frac{10.4}{13}[/tex] by multiplying both numerator and the denominator by 10.

[tex]b = \frac{104}{13}[/tex]

- Divide 104 by 13 to get 8.

The measure of the angle B is 30 degree after applying the sin law of triangle.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle shown in the picture:

We can apply the sin law of the triangle to find the angle B

[tex]\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}[/tex]

SinB = 0.499

B  = 29.99 ≈ 30 degree

Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.

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Answer:

i think its D.

Step-by-step explanation:

i just counted

Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.

Conversion rate of US dollars to Japanese yen = 1 : 94.153

Ratio of dollar to Yuan

1 : 94.153 = x : 5,488

1/94.153 = x / 5,488

1 × 5,488 = 94.153x

5,488 = 94.153x

x = 5,488 / 94.153

x = 58.2881055303601

Approximately,

x = $58

Amount left with Victor = Total money with Victor - amount spent

= $380 - $58

= $322

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Answer:

  18

Step-by-step explanation:

The summation symbol is telling you there are 4 terms of the sum. The values of x in the terms range from 1 to 4.

__

The expanded form of the sum is ...

  (1 +2) +(2 +2) +(3 +2) +(4 +2)

  = 3 +4 +5 +6 = 18

The sum is 18.

_____

Additional comment

The sum can be rewritten as ...

  [tex]\displaystyle \sum_{x=1}^4{(x+2)}=\sum_{x=1}^4{x}+\sum_{x=1}^4{2}=\dfrac{4(4+1)}{2}+4\times2=10+8=\boxed{18}[/tex]

This way, you need to know the sum of integers from 1 to n is (n/2)(n+1). It may be easier just to write the terms out as we have done above.

Answer:

(2,2)

Step-by-step explanation:

coordinates are written as (x,y)

where x represents the x value of the coordinate and y represents the y value of the coordinate.

If we look at the graph we can tell that "b" has an x value of 2 and a y value of 2

Therefore we can say that "b" is positioned at (2,2)

Answer:

C. (2, 2)

Step-by-step explanation:

A coordinate is used to identify a point on a graph. A coordinate is written in the form of (x, y), where x is the x-value and y is the y-value.

The x-value is the number of units left or right from the origin (0, 0), and it gets negative by going left and positive by going right.

The y-value is the number of units up or down from the origin (0, 0), and it gets negative by going down and positive by going up.

For example, the coordinates (1, -2) indicate that the x-value goes to the right one unit and the y-value goes down two units.

Here, we are asked to find the coordinate of B:

Therefore, the correct answer is C. (2, 2)

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Answer:

answer C.

Step-by-step explanation:

the base of the triangle is 4 units.the other leg is sqrt5.

the last leg is 4 +9 = 13 so it is sqrt 13.

add them all up together and you get 4+sqrt 13 + sqrt 5 which is C.

hey I will guess you are above oklahoma because it is raining(bottom right) and your temp starts with 6

Answer:

x=32

Step-by-step explanation:

The system of inequalities have no solutions, option D is correct.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that the graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.

We have to find the  system of inequalities have solutions has solutions or not

As we observe the graphs  y> 3x + 14 and y< 3x + 2 of these inequalities the shade of both lines are not overlapped.

So the two inequalities does not have solution

Hence, the system of inequalities have no solutions, opton D is correct.

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The number -1.28 is rational if it is an integer or decimal, so yes it is.

Answer:

we have 1.28 with bar above 28 signifying that the number can also be written as 1.28282828 The mixed number is then equal to,

1 and 28/99 or 1 and 28 over 99

Therefore, the answer to this item is the second choice.

Step-by-step explanation:

My brother helped me with this one

Answer:

0.91 g/cm³

Step-by-step explanation:

Density Formula

Solving

Answer:

see explanation

Step-by-step explanation:

given that x and y are proportional relationships , then

y = kx ← k is the constant of proportionality

divide both sides by x

[tex]\frac{y}{x}[/tex] = k

using corresponding values of x and y from each table to find k

first table

k = [tex]\frac{10}{1}[/tex] = 10

second table

k = [tex]\frac{20}{4}[/tex] = 5

third table

k = [tex]\frac{15}{2}[/tex]

fourth table

k = [tex]\frac{4}{1}[/tex] = 4