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2 years ago

What are the 2 most common exponents you will deal with when finding roots?

Mathematics

1 answer:

alex41 [277]2 years ago

4 0

Answer:

Step-by-step explanation:2 and 4

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you and a friend tutor for a total of 12 hours. use the tape diagram to find how many hours you tutor.

Semenov [28]

You tutor 9 hours and you friend tutors for 3, i believe

7 0

2 years ago

Suppose that – in any given time period – a certain stock is equally likely to go up 1 unit or down 1 unit, and that the outcome

Scorpion4ik [409]

Answer:

Step-by-step explanation:

From the given information:

Let X represent the amount of the stock that goes up in the first period; &

Let Y denote the cumulative amount that goes up in the first three periods.

Then,

$X= X_1 + X_2 \\ \\ \\EX= EX_1 +EX_2\\ \\\\Now ; EX = 0 \\ \\ EX = \dfrac{1}{2}\times 1 + \dfrac{1}{2}\times -1 \\ \\ EX = \dfrac{1}{2}-\dfrac{1}{2} \\ \\ EX = 0$

$Cov(x,y) = Var(X_1) +Var(X_2) \\ \\ =\dfrac{1}{2}(1+1) + \dfrac{1}{2}(1+1) \\ \\ = \dfrac{1}{2}(2)+ \dfrac{1}{2}(2) \\ \\ = 1+1 \\ \\ =2$

$Var (X) = Var (X_1+X_2)\\ \\ = 2 \ Var(X_1) \\ \\ = 2 \times (1) \\ \\ = 2$

$Var (Y) = Var (X_1 +X_2+X_3) \\ \\ = 3 \times Var(X_1) = \\ \\ = 3 \times 1\\ \\ = 3$

∴

$Corr(x,y) = \dfrac{2}{\sqrt{6}} \\ \\ = \dfrac{2}{\sqrt{2\times 3}} \\ \\= \sqrt{\dfrac{2}{3}}$

3 0

1 year ago

What is the length of a radius of the circle represented by the equation below?

MakcuM [25]

Answer:

Step-by-step explanation:

Given the circle: $x^2 + y^2 - 4x - 4y + 4 = 0$

To determine the length of the radius, we complete the square.

Step 1: Subtract 4 from both sides

$x^2 + y^2 - 4x - 4y + 4 -4= 0-4\\x^2 + y^2 - 4x - 4y = -4$

Step 2: Divide the coefficient of x and y by 2, square it and add it to both sides

$x^2 - 4x+(-2)^2+ y^2 - 4y+(-2)^2 = -4+(-2)^2+(-2)^2$

Step 3: Factorize the Left Hand side and simplify the Right Hand side.

$(x-2)^2+ (y-2)^2 = 2^2$

Comparing with the standard form of the equation of a circle

$(x-h)^2+ (y-k)^2 = r^2$

r=2

Therefore, the radius of the circle is 2.

7 0

2 years ago

Pls help idk how to do this ''solve for the angle with Trig'' Solve for 0

NNADVOKAT [17]

Answer:

The angle Ф = 24.15°

Step-by-step explanation:

We have to determine the angle Ф

Given the triangle, we can determine that

sin Ф = opposite / hypotenuse

Here,

The opposite of Ф = 18

The hypotenuse = 44

sin Ф = opposite / hypotenuse

$\theta \:=sin^{-1}\left(\frac{18}{44}\right)$

$\theta \:=sin^{-1}\left(0.41\right)$

$\:\theta \:=24.15^{\circ }$

Thus,

The angle Ф = 24.15°

6 0

2 years ago

Which choice is equivalent to the following equation? x = (-4)^2 +27

aleksandr82 [10.1K]

Answer:

x = $y^{2}$ + -8y + 43

Step-by-step explanation:

$(y - 4)^{2} + 27$ = (y - 4) x (y - 4) + 27

(y x y) + (y x -4) + (y x -4) + (-4 x -4) + 27

( $y^{2}$ ) + (-4y) + (-4y) + (16) + 27

$y^{2}$ + -8y + 43

3 0

2 years ago