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Rzqust [24]
3 years ago
10

Find the vector, not with determinants, but by using properties of cross products. k × (i − 3j)

Mathematics
1 answer:
sergey [27]3 years ago
3 0
\mathbf k\times(\mathbf i-3\mathbf j)=(\mathbf k\times\mathbf i)-3(\mathbf k\times\mathbf j)
=\mathbf j-3(-\mathbf i)
=3\mathbf i+\mathbf j
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What is the area of this figure?<br> 168<br> 102<br> 132<br> 340
JulsSmile [24]
Area of square =6*6= 36 cm^2
Area of trapezoid =1/2( base1+base2)*height
base 1=7
base2=21-6=15
height=6
Area of trapezoid =1/2( 7+15)*6= 66 
whole area = area of square + area of trapezoid= 36+66=102
Answer 102

8 0
3 years ago
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday
Debora [2.8K]

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

8 0
3 years ago
Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it
aliina [53]

Answer:

to find the adverage you have to add the times together then divide them by 2 so 2 + 1.5 = 3.5/2= 1.75

Step-by-step explanation:

4 0
3 years ago
Simplify: (−2)3 · (−2)4 <br> A) (−2)12 <br> B) (−2)7 <br> C) 212 <br> D) 27
Dahasolnce [82]
Since both sides have a -2 in then you can pull it out making the equation -2(3*4) which equals -2(12) so A is correct
3 0
3 years ago
Read 2 more answers
4. Multiply or divide : i) (a+b) (a-b) ii) (4b +5a) ÷ 2 b​
IgorC [24]

Answer:

1. a²-b²

2.4b² + 5ab/2

Step-by-step explanation:

1:. it's a formula of a²-b² so, it can be solved like this and

2: I'm not sure about 2nd one

4 0
3 years ago
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