Answer:

x = 2 y = 7

**Step-by-step explanation:**

the explan at the pic

Kristl has saved 30%of her tuition fordance class. Sheneeds to have $600save. How much hasshe saved so far?

Your office is raising money for charity by collecting aluminium cans for recycling. They get 36p per kilo of cans. A kilo is approximately 72 cans. They have collected 8645 cans How much money have they raised?

A local department store sells carpet in 4 sizes . Each carpet comes in 3 different qualities. One of the size come in 5 colors . The other sizes come in 3 colors . How many choices of carpet are there?

If a recent survey shows that of the 600 parrot owners surveyed, 200 successfully trained their birds to say words, then out of a population of 1,500, people have trained their birds

Kremena's bank account earns 4.5% simple interest per year. How much must she deposit in the account today if she wants it to be worth $1,250 in 3 years? Round your answer to the nearest dollar.

Your office is raising money for charity by collecting aluminium cans for recycling. They get 36p per kilo of cans. A kilo is approximately 72 cans. They have collected 8645 cans How much money have they raised?

A local department store sells carpet in 4 sizes . Each carpet comes in 3 different qualities. One of the size come in 5 colors . The other sizes come in 3 colors . How many choices of carpet are there?

If a recent survey shows that of the 600 parrot owners surveyed, 200 successfully trained their birds to say words, then out of a population of 1,500, people have trained their birds

Kremena's bank account earns 4.5% simple interest per year. How much must she deposit in the account today if she wants it to be worth $1,250 in 3 years? Round your answer to the nearest dollar.

8+8i

9514 1404 393

**Answer:**

45. (8√2)∠π/4

46. (7√2)∠3π/4

**Step-by-step explanation:**

The polar form of a+bi is ...

a +bi ⇔ (√(a²+b²))∠arctan(b/a)

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**45.** 8 +8i = (√(8² +8²))∠arctan(8/8) = **(8√2)∠π/4**

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**46.** -7 +7i = (√((-7)² +7²))∠arctan(7/-7) = **(7√2)∠3π/4**

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*Additional comment*

The arctan function usually returns a value in the range -π/2 to π/2. The quadrant of the desired result can be determined by the signs of the components of the vector. For negative real parts, π needs to be added to the value that is usually returned by the arctan function.

**Answer:**

30x - 18

**Step-by-step explanation:**

6(5x - 3)

Apply the distributive property.

6(5x) + 6(-3)

30x + - 18

**Answer:**

30x - 18 is your final answer

answer: x+y=2

0+2=²

( 0 , 2 )

**Answer:**

(0,2)

**Step-by-step explanation:**

0 + 2 = 2

Where x = 0, y = 2

**Solution:**

Since **5 pounds **of meat will feed about **26 people.**

Thus;

If she is expecting **156 people, **she should prepare;

**ANSWER: ****30lb**

This equation is separable, as

Integrate both sides; on the left, expand the fraction as

Then

Since , we get

so that the particular solution is

**Answer:**

the partial derivatives are

fx =5/9

fy =(-13/18)

**Step-by-step explanation:**

defining the vector v (from (2,1) to (1,3))

v=(1,3)-(2,1) = (-1,2)

the unit vector will be

v'=(-1,2)/√5 = (-1/√5,2/√5)

the directional derivative is

fv(x,y) = fx*v'x + fy*v'y = fx*(-1/√5)+fy(2/√5) =-2/√5

then defining the vector u ( from (2, 1) toward the point (5, 5) )

u=(5,5)-(2,1) = (3,4)

the unit vector will be

u'=(3,4)/5 = (3/5,4/5)

the directional derivative is

fu(x,y) = fx*ux + fy*uy = fx*(3/5)+fy(4/5)=1

thus we have the set of linear equations

-fx/√5*+2*fy/√5 =(-2/√5) → -fx + 2*fy = -2

(3/5) fx+(4/5)*fy=1 → 3* fx+4*fy = 5

subtracting the first equation twice to the second

3*fx+4*fy -(- 2fx)*-4*fy = 5 -2*(-2)

5*fx=9

fx=5/9

thus from the first equation

-fx + 2*fy = -2

fy= fx/2 -1 = 5/18 -1 = -13/18

thus we have

fx =5/9

fy =(-13/18)