I have the answer for the inequality, but can someone explain how to graph it? (The equation is in the picture).

Answer:

x = 1

Step-by-step explanation:

Answer: x=1

Step-by-step explanation:

The product of the complex numbers is -3 + 29i

Let the complex numbers be

Their difference M - N = x + iy - (a + ib) = x - a + i(y - b)

Their sum M + N = x + iy + (a + ib) = x + a + i(y + b)

Since the sum of two complex numbers is 7 + 8i, we have that

M + N = x + a + i(y + b) = 7 + 8i

⇒x + a = 7  (1) and y + b = 8 (2)

Also, the difference of the numbers is 1 - 2i, we have that

M - N = x - a + i(y - b) = 1 - 2i

⇒ x - a = 1 (3) and y - b = -2 (4)

Adding equations (1) and (2), we have

x + a = 7

+

x - a = 1

2x = 8

x = 8/2

x = 4

Substituting x = 4 into equation (1), we have

x - a = 1

4 - a = 1

a = 4 - 1

a = 3

Adding equations (2) and (4), we have

y + b = 8

+

y - b = -2

2y = 6

y = 6/2

y = 3

Substituting y = 3 into equation (2), we have

y + b = 8

3 + b = 8

b = 8 - 3

b = 5

So,

So, their product M × N = (4 + 3i)(3 + 5i)

= 4 × 3 + 4 × 5i + 3 × 3i + 3i × 5i

= 12 + 20i + 9i - 15

= 12 - 15 + 20i + 9i

= -3 + 29i

So, the product of the complex numbers is -3 + 29i

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Connect the points where the first arc crosses the triangle's base and the second arc intersects the base of the triangle with the straightedge to create the triangle's third side, BC.

Generally, To accurately construct triangle ABC, you will need a straightedge (such as a ruler) and a protractor. Here are the steps to follow:

Use the straightedge to draw a straight line segment of length 8 cm, which will represent side AB. This line segment will be the base of the triangle.

Place the point of the protractor at one end of the line segment and draw an arc that intersects the other end of the line segment.

Measure the angle formed by the line segment and the arc using the protractor. The measure of this angle should be 70 degrees.

Without changing the position of the protractor, draw another arc that intersects the first arc and the base of the triangle.

Use the straightedge to connect the point where the second arc intersects the base of the triangle to the point where the first arc intersects the base of the triangle. This will form the third side of the triangle, AC.

Finally, use the straightedge to draw the third side of the triangle, BC, by connecting the point where the first arc intersects the base of the triangle to the point where the second arc intersects the base of the triangle.

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Answer:

24.6 cm^2

Step-by-step explanation:

3.28m = 328 cm

75mm = 0.075 cm

Area of rectangle: L x W

328 times 0.075 = 24.6 cm^2

To show that a function f is not onto, we need to find a specific element in the range that is not mapped to by any element in the domain. In other words, there is no input value that produces that particular output value.

To show that a function f is not onto, we can provide a counterexample. In this case, we need to find a value for m such that there's no corresponding value of n that makes f(n) = m.

Let's use the counterexample:
Let m = ____ (choose a specific value for m)
Now, we need to show that there's no n such that f(n) = m.
Step 1: Choose a specific value for m.
Step 2: Analyze the function f to find an expression for f(n).
Step 3: Set f(n) equal to m and attempt to solve for n.
Step 4: If there's no solution for n, then we've demonstrated that f is not onto using the counterexample.
Make sure to provide the function f and fill in the specific value for m to complete the counterexample.

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Answer:

342.938 cm²

Step-by-step explanation:

Area of shaded region = area of rectangle - area of circle

= (length*width) - (π*radius²)

= (32*17) - (π8²)

= 544 - 201.06192983

= 342.93807017 ≈ 342.938 cm²

Answer:

12 per group

Step-by-step explanation:

You divide the amount of students by the amount of groups.

60/5 = 12

By using Binomial probability distribution, the mean number of adults who would have bank savings accounts is 32.

For every survey, there are only two possible outcomes.

First- they have bank savings accounts,

second- they do not.

So, by using the binomial probability distribution we can solve this problem.

Probability of exactly Y successes in ‘n’ repeated trials, with ‘p’ probability.

Probability = p

Successes repeated = n  times

The  value of the binomial distribution is:

E(Y) = n x p

In this problem, we have that:

p = 0.64

If we were to survey among 50 randomly selected adults, the mean number of adults who would have bank savings accounts is,

E(Y) when, n = 50

So,

E(Y)= n x p

= 50 x 0.64

= 32

Hence ,our required answer is 32 adults who would have bank savings accounts

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Answer:

3. 0

4. (0.5,1)

7. 0

Step-by-step explanation:

too lazy to calculate the rest liao

Solution:

Note that:

Simplify the equation to find out how much cookies did each friend get.

One friend got 2/9 of tray of cookies.

Answer:

Irrational

Step-by-step explanation:

Answer:

he dividend number is 80, the number used to divide another number is 10 and the result of the dividing two number is 8.

Step-by-step explanation:

Answer: I think the answer is X= -2

Answer:

-2

Step-by-step explanation:

\(3x - 6 = - 12 \\ 3x = - 12 + 6 \\ 3 x = - 6 \\ x = \frac{ - 6}{3} \\ x = - 2\)

Her u go

Good luck

The solution to the original equation is approximately 1.4422.

To continue with the bounds found in part d, we need to use the interval [1.4, 1.5] as the initial approximation for the next iteration. Using the Newton-Raphson method, we get the following approximations:

- Iteration 2: x1 = 1.4428
- Iteration 3: x2 = 1.4422

Based on these two iterations, we can conclude that the solution to the original equation is approximately 1.4422. This is because the difference between the approximations in the last two iterations is only 0.0006, which is a small enough difference to suggest that the approximation has converged to a solution.

In other words, the Newton-Raphson method has been successful in finding a solution to the equation f(x) = x^3 - x^2 - x - 1 = 0 within the given interval [1.4, 1.5]. The method works by using the tangent line to the graph of f(x) at each iteration to approximate the root of the equation. By repeating this process, we are able to get closer and closer to the actual solution.  

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Answer: 1/4

Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.

Answer:

Step-by-step explanation:

The ans is 345/1000

Answer:  3.45x10⁻1

Step-by-step explanation:

Answer:

Step-by-step explanation:

To graph by hand I would first convert both equations into y=mx+b.

We start with:

\(\left \{ {{2x-2y=4} \atop {x+2y=8}} \right.\)

Solve for y for 2x-2y=4

\(2x+2y=4\\2y=4-2x\\y=2-x\)

Solve for y for x+2y=8

\(x+2y=8\\2y=8-x\\y=4-\frac{x}{2}\)

Giving the new but equal system of equations:

\(\left \{ {{y=2x-x} \atop {y=4-\frac{x}{2} }} \right.\)

From this point on you can graph the two functions to find where the two lines intersect, thats your solution.

I've gone ahead and graphed it on desmos for you

Natalie should use Clustered Column Chart.

What is a Clustered Column Chart?
A clustered column chart is a vertical representation that shows data in groups (columns) that are connected to one another. Each column's data is separated into categories according to an attribute like year, age, sex, or race.For the purpose of comparing various variables, many bars are clustered in the same class in a clustered-column (bar) chart which is a specific kind of column (bar) chart. Hence, (B.) Clustered Column Chart is the correct option.

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Bernice is 5 baseball-bat-lengths away from her original starting position.

To find the distance from Bernice's original starting position, we can calculate the magnitude of the total displacement vector by summing up the individual displacements.

The given displacements are:

< 0, -4 > bbl

< 6, 5 > bbl

< -3, 3 > bbl

To find the total displacement, we add these vectors together:

Total displacement = < 0, -4 > bbl + < 6, 5 > bbl + < -3, 3 > bbl

Adding the corresponding components:

< 0 + 6 - 3, -4 + 5 + 3 > bbl

< 3, 4 > bbl

The total displacement vector is < 3, 4 > bbl.

To find the magnitude of the displacement vector, we use the Pythagorean theorem:

Magnitude = √(3^2 + 4^2)

Magnitude = √(9 + 16)

Magnitude = √25

Magnitude = 5

Therefore, Bernice is 5 baseball-bat-lengths away from her original starting position.

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Answer:

A

Step-by-step explanation:

\(\frac{1}{2} : \frac{2}{3} =\frac{3}{4} x\\\\\frac{1}{2} * \frac{3}{2} =\frac{3}{4} x\\\\\frac{3}{4}= \frac{3}{4} x\\\\\frac{3}{4}*\frac{4}{3}=x\\\\\frac{12}{12}=x\\\\x=1\)

Answer:

$11700

Step-by-step explanation:

comment if u need the explanantion ;D

Answer:

Hope that answers your question, good luck in the future

Answer:

492.75

Step-by-step explanation:

The missing number of the series is 21.

The given sequence appears to follow the pattern of the Fibonacci sequence, where each number is the sum of the two preceding numbers. The Fibonacci sequence starts with 0 and 1, and each subsequent number is obtained by adding the two previous numbers.

Using this pattern, we can determine the missing number in the sequence.

0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55

Looking at the pattern, we can see that the missing number is obtained by adding 8 and 13, which gives us 21.

Therefore, the completed sequence is:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55.

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The missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55 is 21.

To find the missing number in the sequence 0, 1, 1, 2, 3, 5, 8, 13, -, 34, 55, we can observe that each number is the sum of the two preceding numbers. This pattern is known as the Fibonacci sequence.

The Fibonacci sequence starts with 0 and 1. To generate the next number, we add the two preceding numbers: 0 + 1 = 1. Continuing this pattern, we get:

Therefore, the missing number in the sequence is 21.

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The cylindrical coordinates (ρ, θ, z) corresponding to the point (3, -3√3, 4) in rectangular coordinates are (6, -60°, 4).

To convert the point (3, -3√3, 4) from rectangular coordinates to cylindrical coordinates, we need to determine the cylindrical coordinates (ρ, θ, z) that correspond to the given rectangular coordinates (x, y, z).

Cylindrical coordinates are represented as (ρ, θ, z), where ρ is the distance from the origin to the point in the xy-plane, θ is the angle measured counterclockwise from the positive x-axis to the line segment connecting the origin and the point, and z is the same as the z-coordinate in rectangular coordinates.

In cylindrical coordinates, the distance ρ from the origin to the point (x, y, z) is given by ρ = √(\(x^2\) + \(y^2\)), the angle θ is determined by tan θ = y/x, and the z-coordinate remains the same.

Given the rectangular coordinates (x, y, z) = (3, -3√3, 4), we can calculate ρ and θ as follows:

ρ = √(\(x^2\) + \(y^2\)) = √(\(3^2\) + \((-3√3)^2\)) = √(9 + 27) = √36 = 6

tan θ = y/x = (-3√3)/3 = -√3

θ = arctan(-√3) ≈ -60° (or π/3 radians)

Therefore, the cylindrical coordinates (ρ, θ, z) corresponding to the point (3, -3√3, 4) in rectangular coordinates are (6, -60°, 4).

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Answer:

W=7

Step-by-step explanation:

-3W+27=6

Subtract 27 from both sides to isolate the variable.

-3W=-21

Divide by -3 to solve for W

w=7

Answer:

W=7

Step-by-step explanation:

Step 1: Subtract 27 from both sides.

−3w+27−27=6−27

−3w=−21

Step 2: Divide both sides by -3.

−3w/−3 =-21/3

final answer 7

have a good day sir!!!!!

If 100 students participate in the fundraiser, each student needs to raise $137.50.If 25 students participate in the fundraiser, each student needs to raise amount $550.

Amount = (Total Amount Needed) ÷ (Number of Students)

For 60 students:

Amount = $275 ÷ 60 = $4.58

For 75 students:

Amount = $275 ÷ 75 = $3.67

For 40 students:

Amount = $275 ÷ 40 = $6.88

To solve this problem, we need to use a simple equation: Amount = (Total Amount Needed) ÷ (Number of Students). We can then plug in the given information to calculate the amount each student needs to raise. For example, if 50 students participate in the fundraiser, we can calculate that each student needs to raise $275 ÷ 50 = $5.50. We can then use this equation to calculate the amount that each student needs to raise if there are different numbers of students participating in the fundraiser. For example, if there are 100 students participating in the fundraiser, each student needs to raise $275 ÷ 100 = $2.75. Similarly, if there are 25 students participating in the fundraiser, each student needs to raise $275 ÷ 25 = $11.00.

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The answer is

8f+5f

=13f

The area of the parallelogram in square units will be 24 square units.

Given that:

Height, H = 4 units

WIdth, W = 6 units

Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,

Area of the parallelogram = H × W square units

The area of the parallelogram is calculated as,

A = 4 x 6

A = 24 square units

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The missing diagram is given below.

Answer:

Image point → (6, 1)

Step-by-step explanation:

Given point → (-3, 3)

Transformation to be done → \(R_{180}0T_{-3,-4}\)

Transformations to be done,

Step - (1). Translation of the given by 3 units left and 4 units down.

Step - (2). Followed by the rotation counterclockwise 180° about the origin.

Rule for step (1),

(x, y) → (x - 3, y - 4)

By this rule,

(-3, 3) → [(-3 - 3), (3 - 4)]

         → (-6, -1)

Rule for step -2,

(x, y) → (-x, -y)

(-6, -1) → (6, 1)

Therefore, following these two steps coordinates of the image point → (6, 1)