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Viktor [21]
2 years ago
5

Given vector u = (3, 1) and v = (2,-4), determine the value of v – 4u in component form.

Mathematics
1 answer:
igomit [66]2 years ago
8 0

Answer:

(-10, -8)

Step-by-step explanation:

4u

Each component of vector u is multiplied by 4. So

u = (3, 1)

4u = (4*3, 4*1) = (12,4).

v – 4u

Subtraction of the components of vector v by the components of the vector 4u. So

v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)

The value is (-10, -8)

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Admission to a theme park is $32 per adult and $20 per child. In order to pay the
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Hello, your question is not mathematically solvable.

4 0
2 years ago
Each observation indicates the primary position played by the Hall of Famers: pitcher (P), catcher (H), 1st base (1), 2nd base (
gregori [183]

Answer:

a. See below for the Frequency and Relative frequency Table.

b. Pitcher (P) is the position provides the most Hall of Famers.

c. 3rd base (3) is the position that provides the fewest Hall of Famers.

d. R is the outfield position that provides the most Hall of Famers.

e. Th number of Hall of Famers of Infielders which is 16 is less than the 18 Hall of Famers of those of outfielders.

Step-by-step explanation:

Note: This question not complete. The complete question is therefore provided before answering the question as follows:

Data for a sample of 55 members of the Baseball Hall of Fame in Cooperstown, New York, are shown here. Each observation indicates the primary position played by the Hall of Famers: pitcher (P), catcher (H), 1st base (1), 2nd base (2), 3rd base (3), shortstop (S), left field (L), center field (C), and right field (R).

L P C H 2 P R 1 S S 1 L P R P

P P P R C S L R P C C P P R P

2 3 P H L P 1 C P P P S 1 L R

R 1 2 H S 3 H 2 L P

a. Use frequency and relative frequency distributions to summarize the data.

b. What position provides the most Hall of Famers?

c. What position provides the fewest Hall of Famers?

d. What outfield position (L, C, or R) provides the most Hall of Famers?

e. Compare infielders (1, 2, 3, and S) to outfielders (L, C, and R).

The explanation of the answers is now provided as follows:

a. Use frequency and relative frequency distributions to summarize the data.

The frequency is the number of times a position occurs in the sample, while the relative frequency is calculated as the frequency of each position divided by the sample size multiplied by 100.

Therefore, we have:

<u>Frequency and Relative frequency Table  </u>

<u>Position</u>           <u>Frequency </u>         <u> Relative frequency (%) </u>

P                               17                             30.91%

H                               4                               7.27%

1                                5                               9.09%

2                               4                               7.27%

3                               2                               3.64%

S                               5                               9.09%

L                               6                               10.91%

C                              5                                 9.09%

R                        <u>      7     </u>                          <u>  12.73% </u>

Total                  <u>     55   </u>                          <u>   100%   </u>

b. What position provides the most Hall of Famers?

As it can be seen from the frequency table in part a, Pitcher (P) has the highest frequency which is 17. Therefore, Pitcher (P) is the position provides the most Hall of Famers.

c. What position provides the fewest Hall of Famers?

As it can be seen from the frequency table in part a, 3rd base (3) has the lowest frequency which is 2. Therefore, 3rd base (3) is the position that provides the fewest Hall of Famers.

d. What outfield position (L, C, or R) provides the most Hall of Famers?

As it can be seen from the frequency table in part a, we have:

Frequency of L = 6

Frequency of C = 5

Frequency of R = 7

Since R has the highest frequency which is 7 among the outfield position (L, C, or R), it implies that R is the outfield position that provides the most Hall of Famers.

e. Compare infielders (1, 2, 3, and S) to outfielders (L, C, and R).

Total frequency of infielders = Frequency of 1 + Frequency of 2 + Frequency of 3 + Frequency of S = 5 + 4 + 2 + 5 = 16

Total frequency of outfielders = Frequency of L + Frequency of C + Frequency of R = 6 + 5 + 7 = 18

The calculated total frequencies above imply that number of Hall of Famers of Infielders which is 16 is less than the 18 Hall of Famers of those of outfielders.

5 0
3 years ago
Find the area of the figure:
astra-53 [7]

Answer:

To find the area of she shaded part we first need to find the total of the area.

L x W

8 x 5 = 40 is the total area

Now we need to find the area of the non - shaded part

Since it is a square all sides are equal the short lines sticking from the sides indicate that

2 x 2 = 4

Now we subtract the total area from the non shaded area.

40 - 4 = 36

4 0
2 years ago
Read 2 more answers
Please help I'm not able to solve this I have tried so many times and the answers I have gotten are all wrong. Please help!! If
goblinko [34]

Answer:

The diameter will be given by 50 cm ÷ 3.142 = 15.9134 cm

The radius will be 15.9134 ÷2 = 7.9567 cm or about 7.96 cm

The area of a circle is given by \pi × square of radius

Area = 3.142 × 7.96×7.96 = 199.0821 square cm

7 0
3 years ago
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 For the equation 2n - 3 = 7
Stells [14]

Answer:

The variable is n

The coefficient is 2

And the solution to n is 10.

Step-by-step explanation:

The number in the equation is the variable. The coefficient is the number before the variable. And a number next to a letter means you multiply. So 2*5=10 10-3=7

5 0
2 years ago
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