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OleMash [197]
3 years ago
7

Find u * v, if u= 12j and v = i + 5j a (1,60) b (0,60) c -60 d 60

Mathematics
2 answers:
Paraphin [41]3 years ago
7 0
The correct answer for this problem would have to be D hope this helps:)
lidiya [134]3 years ago
3 0

Answer:  The correct option is (d) 60.

Step-by-step explanation:  We are given to find u * v, if the vectors u and v are defined as follows :

u=12j,~~~v=i+5j.

We know that

i.i=1,~~j.j=1,~~k.k=1,~~i.j=j.i=j.k=k.j=i.k=k.i=0.

So, we have

u*v\\\\=(12j)*(i+5j)\\\\=12j.i+12j.5j\\\\=12\times 0+60\times 1\\\\=0+60\\\\=60.

Thus, the value of u * v is 60.

Option (d) is CORRECT.

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Make x the subject of the formula y= 2x +5
Kryger [21]

Answer:

x= (y-5)/2

Step-by-step explanation:

Isolate the x variable.

y= 2x +5

Subtract 5 from both sides.

y-5=2x

Divide both sides by 2.

(y-5)/2= x

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2 years ago
Which equation is true for x = 1.8?
Rina8888 [55]

Answer:

First equation is the right answer.

X÷3=0.6

1.8÷3=0.6

0.6=0.6

Hence proved

7 0
2 years ago
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Which polynomial correctly combines the like terms and puts the given polynomial in standard form? -5x^3y^3+8x^4y^2-xy^5-2x^2y^4
victus00 [196]

Given:

The polynomial is:

-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5

To find:

The simplified form of the given polynomial in standard form.

Solution:

We have,

-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5

Combining the like terms, we get

=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)

=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5

Now, rewrite this polynomial in standard form.

=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5

Therefore, the required polynomial in standard form is 8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5.

8 0
3 years ago
1. Michael invests $2000 in an annuity that offers an interest rate of 4% compounded quarterly for 5 years. What is the value of
Amanda [17]
1. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5

Calculations:

A = 2000 (1 + 0.04/4)²⁰

A = 2000 (1 + 0.01)²⁰

A = 2000 (1.01)²⁰

A = 2000 ₓ 1.22

A = $2440.38 


2. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2

Calculations:

A = 50 (1 + 0.48/12)²⁴

A = 50 (1 + 0.04)²⁴

A = 50 (1.04)²⁴

A = 50 ₓ 2.56

A = $128.16


3. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3

Calculations:

A = 50 (1 + 0.04/12)³⁶

A = 50 (1 + 0.003)³⁶

A = 50 (1.003)³⁶

A = 50 ₓ 1.12

A = $56.36

8 0
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uysha [10]

Answer:

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Step-by-step explanation:

Let's solve your inequality step-by-step.

x/7≥−6

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Step 2: Multiply both sides by 7.

7*(\frac{1}{7}x)\geq (7)*(-6)

x ≥ −42

4 0
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