Answer:
A)11
Step-by-step explanation:
These are matrices one dimensional with one column and 3 rows each.
-The product of the matrices is obtained by multiplying the correspond values and summing up;
![pq=\left[\begin{array}{ccc}3\\2\\-1\end{array}\right] \times\left[\begin{array}{ccc}5\\-1\\2\end{array}\right] \\\\\\\\=(3\times 5)+(2\times -1)+(-1\times 2)\\\\=15+-2+-2\\\\=11](https://tex.z-dn.net/?f=pq%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%5C%5C2%5C%5C-1%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C-1%5C%5C2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%5C%5C%3D%283%5Ctimes%205%29%2B%282%5Ctimes%20-1%29%2B%28-1%5Ctimes%202%29%5C%5C%5C%5C%3D15%2B-2%2B-2%5C%5C%5C%5C%3D11)
Hence, the product of p and q is 11
Answer:
1/2 if it's a probability question of getting one blue pen But there's also very little information on the question
Step-by-step explanation:
Answer:
frac{21x^6y^5}{14x^2y^9}
Factor the number =\frac{7\cdot \:3x^6y^5}{14x^2y^9}
Factor the number 14=7. 2 =\frac{7\cdot \:3x^6y^5}{7\cdot \:2x^2y^9}
Cancel\:the\:common\:factor:}\:7 =\frac{3x^6y^5}{2x^2y^9}
Step-by-step explanation:
<u>We are given:</u>Distance covered by the fastest man in 9 seconds = 100m
<u>To Find: </u>The distance covered in 1 min 2 seconds or 62 seconds
<u>Finding the Speed of the man:</u>
We know that:
speed = distance covered / time taken
Speed = 100 / 9 <em>(we are given that he travels 100 m in 9 seconds)</em>
Speed = 11.11 m/s
<u>Distance travelled in 62 seconds:</u>
We know that:
distance covered = speed * time
<em>replacing the value of speed and time</em>
Distance = 11.11 * 62
Distance = 688.82 m
First, how much did you spend on the 8 gumdrops at 2 cents a piece?
8 gumdrops at 2 cents a piece is 16 cents
8 gumdrops x 2 cents = 16 cents
So, if you have 16 cents to spend on gumdrops and they are 8 cents a piece, how many can you buy?
16 / 8 = 2
You can buy 2 gumdrops for the same amount of money.
