x ≤ 12 Is x=3 a solution?
yes or no

Answer:

The square roots of 49·i in ascending order are;

1) -7·(cos(45°) + i·sin(45°))

2) 7·(cos(45°) + i·sin(45°))

Step-by-step explanation:

The square root of complex numbers 49·i is found as follows;

x + y·i = r·(cosθ + i·sinθ)

Where;

r = √(x² + y²)

θ = arctan(y/x)

Therefore;

49·i = 0 + 49·i

Therefore, we have;

r = √(0² + 49²) = 49

θ = arctan(49/0) → 90°

Therefore, we have;

49·i = 49·(cos(90°) + i·sin(90°)

By De Moivre's formula, we have;

[tex]r \cdot (cos(\theta) + i \cdot sin(\theta) )^{\dfrac{1}{2}} = \pm \sqrt{r} \cdot \left (cos\left (\dfrac{\theta}{2} \right ) + i \cdot sin\left (\dfrac{\theta}{2} \right ) \right )[/tex]

Therefore;

√(49·i) = √(49·(cos(90°) + i·sin(90°)) = ± √49·(cos(90°/2) + i·sin(90°/2))

∴ √(49·i) = ± √49·(cos(90°/2) + i·sin(90°/2)) = ± 7·(cos(45°) + i·sin(45°))

√(49·i) = ± 7·(cos(45°) + i·sin(45°))

The square roots of 49·i in ascending order are;

√(49·i) = - 7·(cos(45°) + i·sin(45°))  and  7·(cos(45°) + i·sin(45°))

I think it would be 55

Answer:

y = 2

Step-by-step explanation:

3x + 6y = 18

3(2) + 6y = 18

6 + 6y = 18

Since 18 - 6 = 12, y will equal 2.

6 + 6(2) = 18

6 + 12 = 18

The coordinates to graph the equation would be (2, 2).

Hope it helps!

Answer:

sal dont need to voluteer and calcute how many hours its inrraont GRR

Step-by-step explanation:

Answer:

$33 - $38.50

Step-by-step explanation:

Tamekia $6.00 -  $6.25

y = mx

y = (22)(6) = 132

y = (22)(6.25) = 137.50

$132 - $137.50

Marsha $7.50 - $8.00

y = (22)(7.5) = 165

y = (22)(8) = 176

$165 - $176

Answer:

Step-by-step explanation:

2x45-y3=

Answer:

you know i think it is 9 10/9 as a mixed number sooo i hope this help

Answer:

1 1/9

Step-by-step explanation:

I don't have an explanation, you're just gonna have trust me on this one

Answer:

1/2

Step-by-step explanation:

Pick two points on the line

I picked (0, 2) and (2, 3)

m = (3-2)/(2 -0) = 1/2

Answer:

The volume is multiplied by 8.

Step-by-step explanation:

The volume of a cone with a radius of 3.8 and a height of 7.6 is 114.92. Now let’s double them, the results come out to be 919.39, we divide these by each other and we get roughly 8 when you round. Therefore, your answer is 8.

Answer:

It’s false

Step-by-step explanation:

It doesn’t need to be the same

Answer:

10.5

Step-by-step explanation:

just divide 49 by 4 and 2/3 to get the rate of mpg

Answer:

63 degrees

Step-by-step explanation:

Since this is an isosceles triangle, the two bottom angles must be equal, while the top angle (in the way this specific triangle is oriented) must be different. Therefore, angle CDB is 63 degrees.

Answer:

∠CDB = 63°

Step-by-step explanation:

∠CBD and ∠CDB opposite side lengths are congruent (indicated by the little markings)

Because their opposite sides are congruent they are too congruent

So ∠CBD = ∠CDB

because ∠CBD = 63° ∠CDB also equal 63°

Answer:

B

Step-by-step explanation:

Answer:

2' 11'

Step-by-step explanation:

Answer:

1.83333333333

Step-by-step explanation:

i dunno if these were supposed to be fractions

Answer:

B

Step-by-step explanation:

2(7-2) > 8

2(5) > 8

10 > 8  true

Answer:

I would need to see an actual table to answer this question.

Answer:

i think its A

Step-by-step explanation:

Answer:

2/1

Step-by-step explanation:

[tex]2 - \frac{21 }{?} [/tex]

Answer:

B

Step-by-step explanation:

If you separate it it's the number 13 so it has to be correct. :) it always works for me....well only like 70% of the time but it' better than nothing.

Skewed Right I think. I'm not sure but try it

Answer:

C. Skewed Left

Step-by-step explanation:

Because the first 2 age group have minimal runners than the next 3 age groups spikes and the last 4 are very low once again. the spike occurs relavity near the beggining so if graphed it would be skewed left.

Answer:

y = 1

Step-by-step explanation:

Since the line is horizontal, that means there's no slope (y = b)

Since the line hits the y-axis of 1, the answer is y = 1

Answer:

Step-by-step explanation:

Ok so first, we must figure out what 1 once costs. This can be done by divideing 4.48(cost) by 14(weight).

You should get 0.32.

Now just multiply by 8 and you should get your answer. This answer is 2.56.

Answer:

2.56

Another way this can be done is dividing 8(second weight) by 14(first weight) which will get you the difference. This is 0.5714 blah blah blah goes on for a long time. Now, take this number and multiply it by the 4.48(first cost). This should get you 2.56.

Answer:

2.56

Ti⊂k∫∈s ω∅∅p

It might be 0.432 because add all the mornings numbers, 19,2,6,16.

19+2+6+16 = 43.

How many Freshman? 19 so 19/43 and then you divide 19 and 43

19/43 and you get 0.4418604651 about and it looks to be close to 0.432.

Answer:

C:  triangle

Step-by-step explanation:

the cross section is a triangle that is smaller than the base triangle.

Answer:

73,205

Step-by-step explanation:

Answer:

1 / 16

Step-by-step explanation:

Number of options = 4

Number of correct answers = 1

Number points gained for a correct answer = 1

Number of points lost for an incorrect answer = 1/4 = 0.25

Probability of choosing a correct option = 1/4

Probability of choosing an incorrect option = 3/4

x ____ 1 ______ - 1/4

P(x) __ 1/4 ______ 3/4

Expected gain or loss :

E(x) = Σx*p(x)

E(x) = (1 * 1/4) + (-1/4 * 3/4)

E(x) = 1/4 - 3/16

E(x) = (4 - 3) / 16

E(x) = 1 /16

A gain of 1/16

Answer:

Step-by-step explanation:

Distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,

Distance = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

a). A(-6, -4), B(-3, -1)

Distance between A and B = [tex]\sqrt{(-6+3)^2+(-4+1)^2}[/tex]

                                             = [tex]\sqrt{9+9}[/tex]

                                             = 3√2

                                             = 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = [tex]\sqrt{(3.5+4)^2+(1-2.5)^2}[/tex]

                                              = [tex]\sqrt{58.5}[/tex]

                                              = 7.65

                                              ≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

    Distance = [tex]\sqrt{(5+5)^2+(-5-5)^2}[/tex]

                    = [tex]\sqrt{200}[/tex]

                    = 10√2

                    = 14.14

                    ≈ 14.1 units

Answer:

your answer will be A.π(12.1)²

Step-by-step explanation:

hope it helps...

have a great day

Answer:

option A

is the correct answer of this question π(12.1)^2

hope it helps and your day will be full of happiness.

^_^

Answer:

18 sharpened pencils

Step-by-step explanation:

Total = 30 pencils

100% = 30 pencils

1% = 30 ÷ 100 = 0.30

60% = 0.30 x 60 = 18

Answer:

18 sharpened pencils

Step-by-step explanation:

the percent 3/5 can be multiplied by 6 to give u 18/30