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3 years ago

Another representation, in polar coordinates, of the point (3, 5pi/4) is ( ___, pi/4)

Mathematics

2 answers:

yaroslaw [1]3 years ago

7 0

The correct answer is -3. I just took the test :).

VladimirAG [237]3 years ago

3 0

The answer is (-3, pi/4). I just took the quiz

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If (3). write the following vectors in column vector form:

Art [367]

Answer:

see explanation

Step-by-step explanation:

Given

a = $\left[\begin{array}{ccc}3\\2\\\end{array}\right]$

To obtain -3a multiply each of the elements of a by -3

3a = $\left[\begin{array}{ccc}-3(3)\\-3(2)\\\end{array}\right]$ = $\left[\begin{array}{ccc}-9\\-6\\\end{array}\right]$

To obtain 1.5a multiply each element by 1.5

1.5a = $\left[\begin{array}{ccc}1.5(3)\\1.5(2)\\\end{array}\right]$ = $\left[\begin{array}{ccc}4.5\\3\\\end{array}\right]$

8 0

3 years ago

Gabby assumed she could sell 45 boxes of cookies by Friday, but she only sold 26 boxes. What was Gabby's percent error?

Agata [3.3K]

Answer:

73.07%

Step-by-step explanation:

Given that,

Actual value of sold cookies = 26

Assumed value of sold cookies = 45

We need to find Gabby's percent error. The percentage error in a value is given by :

Error = ](Assumed value - Actual value)/Actual value]× 100

So,

$\%=\dfrac{45-26}{26}\times 100\\\\=73.07\%$

So, Gabby's percent error is equal to 73.07%.

4 0

2 years ago

Simplify the expression (x^3- 5x^2 + 7x - 12) ÷ (x – 4) using long division

Kisachek [45]

Answer:

${x}^{2} - x + 3$

Step-by-step explanation:

Instead, since the divisor is in the form of $x - c$ , use what is called Synthetic Division. Remember, in this formula, $-c$ gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

4| 1 −5 7 −12

↓ 4 −4 12

_______________

1 −1 3 0 → ${x}^{2} - x + 3$

You start by placing the $c$ in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to $c$ then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an ${x}^{2}$ , the −1 [ $x$ ] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of ${x}^{2} - x + 3$ .