pls help i will give brainliest

Answer:

ayyyyytttsss.........

Answer: No

Step-by-step explanation:

\(\sqrt[3]{8}=2\)

So, \(\sqrt[3]{-8}=\sqrt[3]{8*-1}=2*\sqrt[3]{-1}=2*-1^{1/3}\)

(a) The argument of z, given z = (a + ai)(b√3 + bi), is arg \(z = tan^{(-1)}\)((√3 + 1) / (√3 - 1)) and (b) The cube roots of -32 + 32√3i are 4 * [cos(-π/9) + isin(-π/9)], 4 * [cos(5π/9) + isin(5π/9)], and 4 * [cos(7π/9) + isin(7π/9)].

(a) To determine arg z, we need to find the argument (angle) of the complex number z. Given that z = (a + ai)(b√3 + bi), we can expand this expression as follows:

z = (a + ai)(b√3 + bi) = ab√3 + abi√3 + abi - ab

Simplifying further, we have:

z = ab(√3 + i√3 + i - 1)

Now, we can write z in polar form by finding its magnitude (modulus) and argument. The magnitude of z is given by:

\(|z| = \sqrt(Re(z)^2 + Im(z)^2)\)

Since z = ab(√3 + i√3 + i - 1), the real part Re(z) is ab(√3 - 1), and the imaginary part Im(z) is ab(√3 + 1). Therefore, the magnitude of z is:

\(|z| = \sqrt((ab(\sqrt3 - 1))^2 + (ab(\sqrt3 + 1))^2) = ab\sqrt(4 + 2\sqrt3)\)

To find the argument arg z, we can use the relationship:

arg z = \(tan^{(-1)}\)(Im(z) / Re(z))

Substituting the values, we have:

arg z = tan^(-1)((ab(√3 + 1)) / (ab(√3 - 1))) = \(tan^{(-1)}\)((√3 + 1) / (√3 - 1))

Therefore, the argument of z is arg z = \(tan^{(-1)}\)((√3 + 1) / (√3 - 1)).

(b) To find the cube roots of -32 + 32√3i, we can write it in polar form as:

-32 + 32√3i = 64(cosθ + isinθ)

where θ is the argument of the complex number.

The modulus (magnitude) of -32 + 32√3i is:

| -32 + 32√3i | = √((-32)^2 + (32√3)^2) = √(1024 + 3072) = √4096 = 64

The argument θ can be found using:

θ = arg (-32 + 32√3i) = \(tan^{(-1)}\)((32√3) / (-32)) = tan^(-1)(-√3) = -π/3

Now, to find the cube roots, we can use De Moivre's theorem:

\(z^{(1/3)} = |z|^{(1/3)}\)* [cos((arg z + 2kπ)/3) + isin((arg z + 2kπ)/3)]

Substituting the values, we have:

Cube root 1: \(64^{(1/3)}\) * [cos((-π/3 + 2(0)π)/3) + isin((-π/3 + 2(0)π)/3)]

Cube root 2: \(64^{(1/3)}\) * [cos((-π/3 + 2(1)π)/3) + isin((-π/3 + 2(1)π)/3)]

Cube root 3: \(64^{(1/3)}\) * [cos((-π/3 + 2(2)π)/3) + isin((-π/3 + 2(2)π)/3)]

Simplifying further, we have:

Cube root 1: 4 * [cos(-π/9) + isin(-π/9)]

Cube root 2: 4 * [cos(5π/9) + isin(5π/9)]

Cube root 3: 4 * [cos(7π/9) + isin(7π/9)]

These are the cube roots of -32 + 32√3i. To sketch them in the complex plane (Argand diagram), plot three points corresponding to the cube roots \((-32 + 32 \sqrt 3i)^{(1/3)}\) using the calculated values.

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Answer:

Width is 5 cm

Step-by-step explanation:

Since we know that the width is 25 meters, and the scale we are using is 5 meters = 1 cm, we can divide 25 by 5 to find the scaled measurement.

25/5 = 5cm

I hope this helps!

-TheBusinessMan

Answer:

check online for more information

If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), then the following statements must be true: Option (b) f'(-1) = 0 and Option (d) the graph of f has a horizontal tangent line at x = 3

Explanation: The relative maximum of a function is the highest point in a particular set, and the relative minimum is the lowest point. If a function f is continuous for all x and has a relative maximum at (-1, 4) and a relative minimum at (3, -2), then the following statements must be true. The value of the derivative will be equal to zero at relative maximum and relative minimum points of the function. In other words, f'(-1) = 0 and f'(3) = 0. Thus, the option (b) is correct. The graph of f has a horizontal tangent line at the relative minimum and maximum points of the function. This implies that the graph of f has a horizontal tangent line at x = -1 and x = 3. Therefore, the option (d) is correct. The graph of f may or may not intersect both axes. There is no proof that the function f will intersect both axes. Therefore, option (e) is incorrect. The point of inflection is a point on a curve where the concavity of the function changes. Since the function f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), there is no certainty that the graph of f has a point of inflection between x = -1 and x = 3. As a result, option (a) is incorrect. Thus, the correct options are (b) f'(-1) = 0 and (d) The graph of f has a horizontal tangent line at x = 3.

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If David bought a used Dodge Challenger for $14,000. The function that represent the value of David's car, V(t), after T years is:  V(t)=14,000 (0.89)^t.

Given:

Principal =$14,000

Rate =11%

Time (t)=?

Hence:

V(t) =Principal (1- rate)^time

V(t) =14,000 (1-.11)^t

V(t) =14,000 (0.89)^t

Therefore we can conclude that  the function that represent the value of David's car is V(t)=14,000 (0.89)^t.

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In 1973, one could buy a popcom for $1.25. If adjusted in today's dollar the price of popcorn today will be b. $7.22.

To adjust the price of popcorn from 1973 to today's dollar, we can use the Consumer Price Index (CPI) ratio. The CPI ratio is the ratio of the current CPI to the CPI in 1973.

Given that the CPI in 1973 was 45 and the CPI today is 260, the CPI ratio is:

CPI ratio = CPI today / CPI in 1973

= 260 / 45

= 5.7778 (rounded to four decimal places)

To calculate the adjusted price of popcorn today, we multiply the original price in 1973 by the CPI ratio:

Adjusted price = $1.25 * CPI ratio

= $1.25 * 5.7778

≈ $7.22

Therefore, the price of popcorn today, adjusted for inflation, is approximately $7.22 in today's dollar.

The correct option is b. $7.22.

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Answer:

Please check this image for the answer.

Answer:

Step-by-step explanation:

Formula for the circle is

Using the center (5, 6) and radius of 3

The part of the graph that would show no change in distance is when Mary stopped and waited for the traffic light to turn green.

Statement B is correct.

We know that during this time, Mary did not move forward or cover any distance. Hence, the graph would show a flat line at this point, indicating no change in distance.

Distance is described as a numerical or occasionally qualitative measurement of how far apart objects or points are.

In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

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The answer is (-3, -6)

Step-by-step explanation:

turn the x into a y, and the y into a opposite x.

Answer:

The system of equations has infinite solutions. True for all y and x.

Given equations:

x + 4y = 0

20y = - 5x

Make x the subject for equation 1:

x + 4y = 0

x = -4y

Plug x as -4y in second equation:

20y = - 5x

20y = - 5(-4y)

20y = 20y

0 = 0

L.H.S = R.H.S

True for all y.

Therefore true for all x.

Answer:

x=1   y=(-1/2)   putting those in 20x1=20   so 20= then you put -1/2 and multiply it by the -5  that would be your answer

Step-by-step explanation:

The four step to graphing the linear inequalities are: Always begin by separating the variable y from the inequality's left side, Replace the inequality symbol with the equality symbol, In XY plane, graph the boundary line from step 2, The final step is to shade a portion or one side of the border line.

In the given question we have to explain the 4 steps in graphing linear inequalities.

Step 1: Always begin by separating the variable y from the inequality's left side.

Step 2: Replace the inequality symbol with the equality symbol.

Step 3: In XY plane, graph the boundary line from step 2.

Step 4: The final step is to shade a portion or one side of the border line.

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Answer:24-25a

Step-by-step explanation:

Answer:

WHAT SCHOOL U IN

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

6.75 x 10=67.50   7 x 1.99=13.93  +15.00

67.50+ 13.93+ 15.00= 96.43

The slope of the line that passes through the given points,

(1,3) and (6,1)= -0.4

How slope is calculated?

              \(\text{slope of a line between }(x_{1} ,y_{1} ) \text{ and } (x_{2} ,y_{2})=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

             \(\text{slope of a line between }(1,3 ) \text{ and } (6,1)=\frac{1-3}{6-1}=-\frac{2}{5}=-0.4\)

What is a slope?

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Answer:

B

Step-by-step explanation:

So a reflection over the x is a change in the y value.

Only point (2,0) is on the x-axis, so it will not move.

Answer:

$47

Step-by-step explanation:

First you would add how much he gets from babysitting to how much he gets from cleaning the garage.

so that would be 25 + 32 = 57

Then you would take his overall earnings and subtract how much he owes his mother

so that would be 57-10=47

So he has 47 dollars after he pays his mother

Answer:

C.

Step-by-step explanation:

You would take your servings (3) and multiply it by .20.

The, you would just add the 70 into the equation.

3 x .20 = .60, 70 + .60 is 70.60 :)

Hope this helps!

Answer/Step-by-step explanation:

The problem replaces the x with the appropriate input. It is asking for you to find the correct output (y). Looking at the graph, when the point hits -1 on the x value, the value for y is 3. So, the correct output is 3.

The volume of the solid given is 125/24 and is constrained by the planes z = x, y = x, x + y = 5, and z = 0.

The capacity of an object is expressed in terms of volume. The quantity of space a three-dimensional item takes up can also be referred to as volume.  It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.

Given

The bounds for z are 0 ≤ z ≤ x.

The bounds in the xy-plane are x ≤ y ≤ 5 - x and x in [0, 5/2]

So, V = ∫∫ (x - 0) dA

= ∫(x = 0 to 5/2) ∫(y = x to 5 - x) x dy dx

= ∫(x = 0 to 5/2) x (5 - 2x) dx

= ∫(x = 0 to 5/2) (5x - 2x^2) dx

= (5x^2/2 - 2x^3/3) {for x = 0 to 5/2}

=  125/24.

The volume of the solid given is 125/24 and is constrained by the planes z = x, y = x, x + y = 5, and z = 0.

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Answer:

\(m=-\frac{5}{3}\)

Step-by-step explanation:

Answer:

To determine whether a function is even, odd, or neither, check if the function satisfies the properties of even or odd functions algebraically. If f(x) = f(-x), the function is even. If f(x) = -f(-x), the function is odd. Otherwise, it is neither.

Step-by-step explanation:

To determine whether a given function is even, odd, or neither, we need to analyze the function's algebraic properties based on how it behaves with respect to symmetry and the sign of its variables.

Even Function: An even function is symmetric with respect to the y-axis, meaning that if you reflect the graph of the function across the y-axis, it remains unchanged. Algebraically, an even function satisfies the property: f(x) = f(-x) for all x in the function's domain.

Odd Function: An odd function is symmetric with respect to the origin (0,0), meaning that if you rotate the graph of the function by 180 degrees around the origin, it remains unchanged. Algebraically, an odd function satisfies the property: f(x) = -f(-x) for all x in the function's domain.

Neither Function: If a function does not satisfy the properties of even or odd functions, it is considered neither.To determine the nature of a specific function, you would need to provide the function itself. Please provide the function, and I will be able to help you determine whether it is even, odd, or neither.

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The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer

2463 cm

Step-by-step explanation:

Circumference= 28 cm

Area= Pi(radius^2)

In order to find the area we need to find the radius first.

To find radius 28=2(Pi)(radius)

We have to divide 28 by 2 pi.

So you will get an answer of 43.98

Now that you have your radius it will be easier if you round.

So now that your radius is 44 you apply the formula Area= Pi(28^2)

Area= Pi(784)

So your area is approximately 2463 cm

Answer:

16

Step-by-step explanation: I dunno I just guessed. lol

l m a o lol

The probability of selecting no more than 2 defectives in a sample of 10  a) without replacement is 0.36077 and b) with replacement is 0.14093

a)

Here it is given that the objects are selected without replacement one after the other and the box contains only 20 items

Here we can see that the no. of items i.e the population is finite and the items are selected one after another without replacement.

Hence, this is a case of Hyper-Geometric distribution.

For a Hyper-Geometric distribution

P(X = x) = \(\frac{^{k}C_x X ^{N-k}C_N-x }{^{N}C_n }\)

where,

N = The Population

n = no. of samples selected

k = no. of success.

Here

k = no. of defectives present

= 20% of 20

= 20/100 X 20

= 4

n = 10

N = 20

x = 2

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 0)

Therefore we get

⁴C₀ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₀₎ / ²⁰C₁₀     +     ⁴C₁ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₁₎ / ²⁰C₁₀  +

⁴C₂ X ⁽²⁰ ⁻ ⁴⁾C₍₁₀ ₋ ₂₎ / ²⁰C₁₀

= ⁴C₀ X ¹⁶C₁₀ / ²⁰C₁₀      +     ⁴C₁ X ¹⁶C₉ / ²⁰C₁₀     +     ⁴C₂ X ¹⁶C₈ / ²⁰C₁₀

ᵇCₐ = b!/(b - a)! X a!

Therefore,

⁴C₀ X ¹⁶C₁₀ / ²⁰C₁₀      +     ⁴C₁ X ¹⁶C₉ / ²⁰C₁₀     +     ⁴C₂ X ¹⁶C₈ / ²⁰C₁₀

= 0.04334 + 0.24768 + 0.06975

= 0.36077

b)

Here the sample is selected with replacement

There are 4 defective and 16 non-defective items

Let A be the event of selecting not more than 2 defectives with replacement

According to the problem, 2 out of 4 defectives are selected while the rest are not defective.

Hence n(A) =  n(getting 0 defective) + n(getting 1 defective) + n_getting 2 defectives)

= 16¹⁰    +    4 X 16⁹   +     4² X 16⁸

= 1443109011456

Similarly, the total no. of ways to choose an item is

n = 20¹⁰

Probability of any event

= no.of favorable outcomes/total no. of outcomes

Hence, P(A) = n(A) / n

= 4² X 16⁸ / 20¹⁰

= 0.14093

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Answer:

Step-by-step explanation:

Answer:

So, after 5 years, the desk would be worth approximately $1,003.65.

Step-by-step explanation:

The correct exponential function that models the value, V(t), after t years is:

V(t) = 750(1.06)^t

where t is the number of years since the purchase.

This formula is based on the fact that the value of the desk increases by 6% each year, so we multiply the initial value ($750) by (1 + 0.06) raised to the power of the number of years (t).

For example, after 5 years, the value of the desk would be:

V(5) = 750(1.06)^5

V(5) = 750(1.3382)

V(5) = 1003.65

So, after 5 years, the desk would be worth approximately $1,003.65.