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raketka [301]
3 years ago
5

Find a ⋅ b. a = 9i + 5j, b = 4i + 3j

Mathematics
2 answers:
aksik [14]3 years ago
4 0

Answer:

Step-by-step explanation:

51

<13, 8>

<36, 15>

-21

N76 [4]3 years ago
3 0
9i+5j x 4i+3j
Factor
=9i+20ij+3j
= (9+20j)i+3j
=3j+(9+20j)i =answer
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A magazine article conducted a survey of 525 people in New York City and found that 30% of the population believe that the Yanke
WINSTONCH [101]

Answer:

In this case, the 30% represents the proportion of the sample. It is a statistic that can be used to estimate a parameter of the population.

Step-by-step explanation:

In this case, the 30% represents the proportion of this specific sample (survey taken by the magazine).

It is a statistic that can be used to estimate a parameter of the population. In this case, it may be used to estimate the true proportion of "people in New York who believe that the Yankees will miss the playoffs this year".

If a new sample is taken, a new statistic will be calculated that may or may not be equal to 30%.

3 0
3 years ago
Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 444 gumballs rather than 111. The radius o
inn [45]

Answer: 3617.28 cubic millimeters.

Step-by-step explanation: I used the formula of a sphere since a gumball is a shape of a sphere and plugged the radius into the formula.

I got that the volume of a single gumball is 288π cubic millimeters.

Since there are 4 gumballs, i multiplied the volume by 4.

The total volume of the four gumballs add up to be 1152π .

Lastly, I multiplied 1152 by pi

and got the answer to be 3617.28 cubic millimeters

8 0
3 years ago
Aldon and Jamal raised the same amount of money for the school fundraiser. Aldon
Naddika [18.5K]

Answer: $5

Step-by-step explanation: This can be represented by the equation

40 + 12T = 25 + 15T

We just solve for T.

Subtract 12T from both sides

40 = 25 + 3T Subtract 25

15 = 3T Divide by 3

5 = T

7 0
3 years ago
A collection of coins contains a total of sixteen dimes and quarters. It is worth $2.20 in all. How many dimes are in the collec
grin007 [14]

9514 1404 393

Answer:

  12 dimes

Step-by-step explanation:

Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...

  0.25q +0.10(16 -q) = 2.20

  0.15q +1.60 = 2.20 . . . . . . . simplify

  0.15q = 0.60 . . . . . . . . subtract 1.60

  q = 4 . . . . . . . . . . . divide by 0.15

  16-q = 12

There are 12 dimes in the collection.

5 0
3 years ago
4x + 5x + 12 = 6(x-2)<br> Math
Rashid [163]

Hi there! :)

\large\boxed{x = -8}

4x + 5x + 12 = 6(x - 2)

Combine like terms and distribute the coefficient outside of the parenthesis:

9x + 12 = 6(x) + 6(-2)

9x + 12 = 6x - 12

Subtract 6x from both sides:

9x - 6x + 12 = 6x - 6x - 12

3x + 12 = -12

Subtract 12 from both sides:

3x + 12 - 12 = -12 - 12

3x = -24

Divide both sides by 3:

3x/3 = -24/3

x = -8.

4 0
3 years ago
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