Whats does x and y equal?

Hi there!

This should be easy,lol!

Answer:

[tex]\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }[/tex] (Decimal: -221.702503)

[tex]\sqrt[3]{162} = \boxed{162 \sqrt{3} }[/tex] (Decimal: 280.592231)

[tex]\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}[/tex]

Sorry bout the explanation thingy. Their really long -.-!

But the last one is short so i'll put it for you!

Step-by-step explanation:

∴!For the last one!∴

[tex]\sqrt[3]{-1000x^4}[/tex]

Simplifies to:

[tex]= - 1732.050808 * x^4[/tex]

[tex]= - 1732.050808 * ( x * x * x * x)[/tex]

[tex]= - 1732.050808x^4[/tex]

Have a great day/night!

Answer:

10)

[tex]=-4\sqrt[3]{2}[/tex]

12)

[tex]=3\sqrt[3]6[/tex]

14)

[tex]=-10x\sqrt[3]{x}[/tex]

Step-by-step explanation:

10)

We have:

[tex]\sqrt[3]{-128}[/tex]

We want to simplify the cube root. So, let's start picking at the factors.

Notice that -128 is divisible by 64. So:

[tex]=\sqrt[3]{-1\cdot64\cdot2}[/tex]

Now, notice that 64 is the same as 4³. (-1) is also the same as (-1)³. Therefore:

[tex]=\sqrt{(-1)^3\cdot(4)^3\cdot2[/tex]

We can now expand our root:

[tex]=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(4)^3}\cdot\sqrt[3]{2}[/tex]

The cubes and the cube roots cancel each other out. This leaves us with:

[tex]=(-1)\cdot(4)\cdot\sqrt[3]2[/tex]

Simplify:

[tex]=-4\sqrt[3]{2}[/tex]

12)

We have:

[tex]\sqrt[3]{162}[/tex]

Again, let's see what we can factor out.

If it's unclear what we can factor out, we can guess and check. Since 162 is even, let's divide it by 2. This yields:

[tex]=\sqrt[3]{2\cdot81}[/tex]

Notice here that 81 is the same as 3⁴. Therefore:

[tex]=\sqrt[3]{2\cdot3^4}[/tex]

We can separate the 3 from the exponent using the properties of exponents:

[tex]=\sqrt[3]{2\cdot3\cdot3^3}[/tex]

Expand:

[tex]=\sqrt[3]{3^3}\cdot\sqrt[3]{2\cdot3}[/tex]

The cube roots and cube will cancel. This leaves us with:

[tex]=3\cdot\sqrt{2\cdot3}[/tex]

Simplify:

[tex]=3\sqrt[3]6[/tex]

14)

We have:

[tex]\sqrt[3]{-1000x^4}[/tex]

Notice here that 1000 is the same as 10³. Also, we can separate an x from the x⁴. Therefore:

[tex]=\sqrt[3]{-1\cdot (10)^3\cdot x^3\cdot x}[/tex]

Also, (-1) is the same as (-1)³. Thus:

[tex]=\sqrt[3]{(-1)^3\cdot (10)^3\cdot x^3\cdot x}[/tex]

Expand:

[tex]=\sqrt[3]{(-1)^3}\cdot\sqrt[3]{(10)^3}\cdot\sqrt[3]{x^3}\cdot\sqrt[3]{x}[/tex]

The cube roots and the cube will cancel. This leaves us with:

[tex]=-1\cdot10\cdot x\cdot\sqrt[3]{x}[/tex]

Simplify:

[tex]=-10x\sqrt[3]{x}[/tex]

And we're done!

Answer:

(2x - 1)(2x + 1)

Step-by-step explanation:

Difference of Squares: (ax + b)(ax - b) = (ax² - b²)

Answer:

4×^2-1=(2× +1)(2× -1)

Step-by-step explanation:

using a^2 - b^2 =(a+b)(a-b)

Answer:

What kind of proof do you need?

M, Q, and N are collinear, with Q between M and N.

Triangle QPM is isosceles (PM=PQ).

That makes PN greater than PQ.

If you need a formal proof, it looks as if you can use trigonometry and the law of sines.

If you need a formal two-column proof using Euclidean geometry, I'm not sure how you would do it....

Step-by-step explanation:

Answer:

An arithmetic sequence has first term 4 and common difference 8

Step-by-step explanation:

Answer:

situation a and she bought 3 pounds

Step-by-step explanation:

Answer: I would say A because $10 per pound seems to much and laundry detergent to turn out as $16

Answer:

D

Step-by-step explanation:

Distance can't be negative (especially after using absolute value) so A and C are cancelled.

When you are trying to find the distance between the 2, you want to subtract to see how far they are away from each other.

That means B is cancelled and D is the only answer you have left :)

Answer: 62 units

Step-by-step explanation:

Answer:

25/27

Step-by-step explanation:

because

5/6÷15/3×2/3

in BODMAS =5/6×15/3×2/3

=150/54=25/27

Answer:840 hours

Step-by-step explanation:You have to Add to get your answer.This is how I got 840:

60+60=120

120+720=840

Your answer is:840 hours

hope this was helpful :)

Answer:

34 and 6 =40

Step-by-step explanation:

40 divided by 2=20 20-14=6 14+20=34

Answer:

Yes, the scale factor is 4.

Step-by-step explanation:

If you times the length, 3, and the width, 5, by 4, you'll get 12 as your length and 20 as your width.

Answer:

38.83 inches

Step-by-step explanation:

Jose: 52 1/2

Sister: 52 1/2 - 13 2/3

His sister is 38.83 inches

Answer:

38 5/6 inches

Answer:

we use BODMAS

-4 x 4 /5÷ 4=-16/5÷4

=-16÷1[tex]1/4[/tex]

=-16 ÷ 5/4

=-16 x 4/5

=-64/5

=12[tex]4/5[/tex]

Step-by-step explanation:

Given that the graph of f(x) = ax² + 3 passes through the point (1,1). We are supposed to find the value of a.Since the point (1, 1) lies on the graph of the function, we can say thatf(1) = 1That is:a(1)² + 3 = 1a + 3 = 1a = 1 - 3a = -2

Therefore, the value of a is -2. Thus, the graph of the function f(x) = -2x² + 3 passes through the point (1, 1).The solution is done in 88 words.

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Answer:

a

Step-by-step explanation:

Answer:

all are functions

Step-by-step explanation:

a function is when each x has a y

a relation is when 1 x has more than 1 y which makes it invalid therefore not a function

Answer:

steps below but I recommend the graphing calculator on demos

Step-by-step explanation:

y= mx + b.......  y= 1/2x+ 0

our b is 0 so first plot that

our slope is 1/2 so go up one and to the right twice

keep doing that and you will have your line. USE DESMOS

Answer: the answer is X=-6

Step-by-step explanation:

5x-14=8x+4 - move variable to the left-hand side and change its sign

5x-8x-14=4  - first switch it you are going to have a better understanding

5x-8x= 4=14 move constant to the right-hand side and change its sign

-3x=4+14 collect like term

-3x=18 add the numbers/ then divide both sides of the equation by -3

x=-6

16× X = 1.49

=> X = 1.49 ÷ 16

1. The eigenvalues of matrix A are 2 and 3.

2. The bases for the eigenspaces of A are {(1, -1)} and {(3, 1)}.

3. A is diagonalizable because it has distinct eigenvalues and the sum of the dimensions of its eigenspaces is equal to the dimension of the matrix.

4. The matrix P is [1, 3; -1, 1], and the diagonal matrix D is [2, 0; 0, 3], such that P^(-1)AP = D.

5. A^23 is equal to 2^23, which can be written as 223.

6. The system of differential equations can be solved using the matrix equation X' = PX, where X is the vector [x1; x2] and P is the matrix [1, 2; 2, 1].

1. To find the eigenvalues of matrix A, we solve the characteristic equation det(A - λI) = 0, where λ is the eigenvalue. By calculating the determinant, we get (2-λ)(2-λ) - 1 * 1 = 0, which simplifies to λ^2 - 4λ + 3 = 0. Solving this quadratic equation, we find the eigenvalues λ = 2 and λ = 3.

2. To find the eigenspaces of A, we solve the equations (A - λI)X = 0, where X is a non-zero vector in the eigenspace corresponding to eigenvalue λ. For eigenvalue λ = 2, we have (A - 2I)X = 0, which gives the equation [0, 1; -1, 0]X = 0. The solution is X = [1, -1]. Similarly, for eigenvalue λ = 3, we have (A - 3I)X = 0, which gives the equation [-1, 1; -1, 1]X = 0. The solution is X = [3, 1].

3. A matrix is diagonalizable if it has a complete set of eigenvectors. In this case, since A has distinct eigenvalues and the sum of the dimensions of its eigenspaces (2) is equal to the dimension of the matrix (2x2), A is diagonalizable.

4. To find the matrix P and diagonal matrix D, we need to find the eigenvectors corresponding to the eigenvalues of A. The matrix P is formed by taking the eigenvectors as its columns, i.e., P = [1, 3; -1, 1]. The diagonal matrix D is formed by placing the eigenvalues on its diagonal, i.e., D = [2, 0; 0, 3]. Then, we can verify that P^(-1)AP = D.

5. A^23 means raising the matrix A to the power of 23, which is equivalent to raising each element of A to the power of 23. Since A is a 2x2 matrix, A^23 is represented as 223.

6. The system of differential equations can be solved using the matrix equation X' = PX, where X is the vector [x1; x2], X' is the derivative of X with respect to t, and P is the matrix [1, 2; 2, 1]. By solving this equation, we can find the solution for x1 and x2 as functions of t.

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Answer:

The answer is $97.35

Step-by-step explanation:

This because you would need to multiply 75x1.298 to get your answer and your conversion method is multiplying so your answer is $97.35

Hope this helps and have a great day!!

Answer:

r u indian??

Step-by-step explanation:

wow bro m an indian too

Answer:

1.46

Step-by-step explanation:

Answer:

Solution steps:

Step 1: Locate and underline the whole number place (.) and look to the right (4):

1.456

Step 2: The digit to the right (4) is 4 or below. So, we replace it by a 0 (zero), then we get 1 as the answer.

In short: 1.456 rounded to the nearest whole number is 1.

Answer:

17.45

Step-by-step explanation:

I just took the quiz good luck! :)

Answer:

17.45

Step-by-step explanation:

edge 2022

Answer:

x=11/18 or 0.61

Step-by-step explanation:

Let x represent the blank

[tex]As\ x:11::1/3:6\ form\ a\ proportion,\ we\ may\ use\ the\ ratio\ method\ to\ find\ x.\\\\Hence,\\x:11::1/3:6\\6x=1/3*11\\x=11*1/3*1/6\\x=11*1/18\\x=11/18[/tex]

Answer:

19

Step-by-step explanation:

f(x) = 2x^2 + 1

Let x= 3

f(3) = 2 * (3)^2 +1

Exponents first

     = 2 * 9+1

Then multiply

     = 18+1

Add

   = 19

Answer:

THE ANSWER IS 19 JUST TOOK THE UNIT TEST

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Its y2 - y1 over x2-x1

A. The arrival rate per hour must increase to at least 10 customers per hour to justify a second telephone boothe.

B. The arrival rate per hour must increase by at least 1.6 customers per hour to justify a second telephone booth under the new criterion.

To get the how much arrival rate must increase, we must get the expected waiting time for a customer.

Assuming;

X is the number of customers who arrive per hour

Y is the length of a phone call in minutes.

Then, X follows a Poisson distribution with λ = 4 (since 4 customers per hour use the phone on average)

Y follows a negative exponential distribution with mean μ = 5 (since the mean length of a phone call is 5 minutes).

Total time is given as sum of waiting time and length of call;

T = W + Y

The waiting time W is the difference between the time a customer arrives and the time that the phone becomes available. waiting time follows a uniform distribution where mean= 1/λ (since the arrivals follow a Poisson process);

Then we have;

E(W) = 1/(2λ) = 1/8 hours

The expected total time T that a customer spends at the phone booth is:

E(T) = E(W) + E(Y) = 1/8 + 5/60 = 11/48 hours

For a second telephone booth to be justifiable, new customer that arrives must wait 3 minutes or longer for the phone.

E(W) ≥ 1/20

To get λ,

1/(2λ) ≥ 1/20

λ ≤ 10

This means that, the arrival rate per hour must increase to at least 10 customers per hour to justify a second telephone booth.

b. Getting how much the arrival rate per hour must increase to justify a second telephone booth under the new criterion,

we need to find the probability that a customer has to wait at all.

Let P(W > 0) be the probability that a customer has to wait.

P(W > 0) = 1 - P(W = 0)

The waiting time W follows a uniform distribution with mean 1/λ, so we have:

P(W = 0) = 1 - λ/4

The length of a phone call Y follows a negative exponential distribution with mean 5 minutes = 1/12 hours, so we have:

P(Y > t) = e^(-μt) = e^(-t/12)

The probability that a customer has to wait is given as;

P(W > 0) = 1 - P(W = 0) = λ/4

To justify a second telephone booth, the probability of having to wait at all must exceed 0.6. so we have;

P(W > 0) > 0.6

λ > 2.4

The arrival rate per hour must increase by at least 2.4 - 4 = 1.6 customers per hour to justify a second telephone booth under the new criterion.

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