a) Sketch on an Argand diagram the locus of points satisfying the equation │z – 5i│ = 2 b) It is given that z satisfies the equation │Z – 5i│= 2. Write down the greatest possible value of │z│

Answer:

2 hours

Step-by-step explanation:

$115 + $5 = 120

120 x 2 = 240

Answer:

25 hours

step-by-step explanation:

240-115=125/5=25 pog

Answer:

16642.8

Step-by-step explanation:

tan 31°=10000/x

x=10000/tan31°

x=16642.8

Answer:

bot 2

Step-by-step explanation:

first find out how many clicks they do in 1 second

16 ÷ 2 = 8

30 ÷ 3 = 10

so know we know that bot 2 clicks 2 more rimes in a second than bot 1

so if we times both the numbers by 10 to find out how many times they click in 10 secs

so bot 1 clicks 80 times

bot 2 clicks 100

Ratio compares two things. The length of the trail, in reality, is 6.75 km.

A scaling ratio helps us to compare two things.

Given to us

The scale on the map states that 2 centimeters represent 3 kilometers.

Length of the trail on the map, L = 4.5 cm = 0.045 m

As we know that 2 centimeters represent 3 kilometers. therefore,

\(\rm \dfrac{Map}{Real} = \dfrac{0.02\ m}{3000\ m}\)

We know that the Length of the trail on the map is 0.045 m,

\(\rm \dfrac{L}{L'} = \dfrac{0.02\ m}{3000\ m}\)

Substitute the value,

\(\rm \dfrac{0.045}{L'} = \dfrac{0.02\ m}{3000\ m}\\\\L' = 6750\ m\\\\L' = 6.750\ km\)

Hence, the length of the trail, in reality, is 6.75 km.

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Given the topological spaces X = {D, O, R, K} with the topology Tx and Y = {M, A, T, H} with the topology Jy, we are asked to determine whether the set E = {0, K} is open in X and open in Y.

To determine whether the set E = {0, K} is open in the topological spaces X and Y, we need to check if E belongs to the respective topologies, Tx and Ty.

In X, the topology Tx is given by: Tx = {Ø, {0}, {D, O}, {O, R}, {D, O, R}, X}. We can see that E = {0, K} is not explicitly listed in Tx. Therefore, E is not open in X since it does not belong to the topology.

In Y, the topology Ty is given by: Jy = {0, {M}, {M, A}, {M, A, T}, Y}. Again, E = {0, K} is not explicitly listed in Ty. Hence, E is not open in Y as it does not belong to the topology.

In both cases, the set E = {0, K} is not open in the respective topological spaces X and Y because it is not a member of the defined topologies.

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Step-by-step explanation:

Let alpha be the unknown angle. We can set up our sine law as follows:

\( \frac{ \sin( \alpha ) }{5 \: m} = \frac{ \sin(42) }{3.6 \: m } \)

or

\( \sin( \alpha ) = \frac{5 \: m}{3.6 \: m} \times \sin(42) = 0.929\)

Solving for alpha,

\( \alpha = arcsin(0.929) = 68 \: degrees\)

Answer:

he gained 717523484

Shaded portion gives the solution set of following in inequality.

What is inequality?

An inequality in mathematics is a relationship that allows us to contrast two (or more) mathematical expressions.

A difference between two values indicates whether one is more than, less than, or not equal to the other.

For example  The strict inequalities like

a > b - “greater than”,

a < b - “less than”.

They are called Strict inequalities, since in each case a and b are not equal.

Here y ≤ \(x^2-3\)

for the point (0, 0)

⇒ 0 ≤ 0 - 3

⇒ 0 ≤ -3

which is false thus region is opposite to origin

For y > \(x^2+2\)

⇒ 0 > \(0^2+2\)

⇒ 0 > 2

which is false thus the region is opposite to origin

Thus shaded portion is solution to given inequality

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To reduce a fraction, you divide the numerator and denominator by the same number.

This number is the greatest common divisor (GCD) of the numerator and denominator. By dividing both the numerator and denominator by their GCD, you simplify the fraction to its simplest form. The GCD is the largest number that evenly divides both the numerator and denominator without leaving a remainder.

Dividing by the GCD ensures that the fraction is expressed in its lowest terms, where the numerator and denominator have no common factors other than 1. This process eliminates any common factors and reduces the fraction to its simplest representation.

Therefore, To reduce a fraction, you divide the numerator and denominator by the same number. Option c is correct.

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Answer:

2 (3 y - 4) <- Complete answer, but since you only have those choices it's

6 y - 8

Step-by-step explanation:

Simplify the following:

8 y - 2 (y + 4)

Hint: | Distribute -2 over y + 4.

-2 (y + 4) = -2 y - 8:

8 y + -2 y - 8

Hint: | Group like terms in 8 y - 2 y - 8.

Grouping like terms, 8 y - 2 y - 8 = (8 y - 2 y) - 8:

(8 y - 2 y) - 8

Hint: | Combine like terms in 8 y - 2 y.

8 y - 2 y = 6 y:

6 y - 8

Hint: | Factor out the greatest common divisor of the coefficients of 6 y - 8.

Factor 2 out of 6 y - 8:

Answer: 2 (3 y - 4)

Answer: the opposite of 12 should be -12

Step-by-step explanation:

Answer:

  A). (0, ∞)

Step-by-step explanation:

The function value is negative where the red line is below the x-axis. That is the case for all values of x that are greater than 0. In interval notation, this is ...

  (0, ∞)

Answer:

Stop wasting them

Step-by-step explanation:

Pls Mark me as brainliest

Answer:

23

Step-by-step explanation:

Answer:

110 women, see below for explanation. (hope this helps)

Step-by-step explanation:

3 to 5

3x + 5x = 176

8x = 176

x = 176/8

x = 22

3*22 = 66 men

5*22 = 110 women

The values of the domain is the which satisfies the function is x > - 4.

According to the statement

We have to find the domain of the given function

For this purpose, we know that the

In Mathematics,The domain of a function is the set of values that we are  plug into our function.

The given function is a

\(y = \sqrt{x+4}\)

And in this function

The domain is the values of the x which we able to put in the function according to the definition.

x+4=0

x=-4.

It means the value of the domain is the \(x > - 4\).

The values according to the upper expression satisfies the domain of the function.

So, The values of the domain is the which satisfies the function is x > - 4.

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The volume of the rectangular prism with the given height, width and length is 576 cubic centimeters.

The volume of a rectangular prism is expressed as;

V = w × h × l

Where w is the width, h is height and l is length

Given that;

V = w × h × l

V = 16cm × 9cm × 4cm

V = 576cm³

Therefore, the volume of the rectangular prism with the given height, width and length is 576 cubic centimeters.

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Step-by-step explanation:

4y

4 (5)

4×5

20

y=20

Hope its helpfulllll

Hey there!

4y

= 4(5)

= 4 + 4 + 4 + 4 + 4

= 8 + 8 + 4

= 16 + 4

= 20

= 4(5)

= 20

Therefore your answer is: 20

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

\(x\approx64.622\text{ inches}\)

Step-by-step explanation:

We can write a proportion that relate the model lengths to the actual length. The traditional format is:

\(\frac{\text{Model Length}}{\text{Scale Factor}}=\frac{\text{Original Length}}{\text{Scale Factor}}\)

Hence, we will substitute 1454 for the “Original Length.”

2in for the “Scale Factor” below the model.

And 45ft for the “Scale Factor” below the original.

Let the model length be x.

This yields:

\(\frac{x}{2}=\frac{1454}{45}\)

Solve for x. Cross-multiply:

\(2908=45x\)

Divide both sides by 45:

\(x\approx64.622\text{ inches}\)

Therefore, the height of the model is about 64.6 inches.

Step-by-step explanation:

solution

we know that,

tower hight = 1454 feet

here

2inch=45 feet

now,

1454 feet=(1454/45)inch

1454 feet =32.31 inch

so,tower is 32.31 inch tall according to model length

this may help you (:

The distance when the mass is 5kg is 15cm.

When two values vary directly, it means that both values move in the same direction. If one of the value increases, the other value increases and if one of the values decreases, the other value decreases.

The equation that is used to represent direct variation is:

d = km

Where:

The first step is to determine the value of k:

12 = 4k

k = 12 / 4

k = 3

d = 3 x 5 = 15cm

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Each book must have a unique code, then we want to find the total number of combinations of 4 upper cases followed by a number.

We will see that the maximum number of books that the library could assign codes using this system is 4,569,760

To find the total number of combinations, first, we need to find each selection.

Here we have 5 selections:

Now we want to find the number of options for each one of these selections.

Assuming that the letters can be used multiple times, for each one of the letters we have 26 options (from A to Z)

And for the number, we have 10 options (for 0 to 9)

Then we have:

The total number of combinations is just the product between all of these numbers of options, we will get:

C = 26*26*26*26*10 = 4,569,760

So there are 4,569,760 different codes, thus, the maximum number of books that the library could assign codes using this system is 4,569,760

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Answer:

Step-by-step explanation:

Adult's ticket price= $2.50

Children's ticket price= $1.25

One performance sells 12 more tickets to  adult than children.

In total they make $183.75.

Therefore, we have that:

1.25x+2.50(x+12)=$183.75

We solve the resulting equation for x.

Open the brackets

1.25x+2.5x+30=183.75

Collect like terms

3.75x=183.75-30

3.75x=153.75

Divide both sides by 3.75

x=41

Therefore:

Step-by-step explanation:

tae tae tae tae tae tae tae tae

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

\(\frac{6x}{6}=\frac{18}{6}\\x=3\)

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

By using the rate of change formula for linear equations, we will see that the statement is true.

Here we have the following statement:

"The student reads at a rate of 48 pages per hour."

Which relates to the linear equation represented on the table.

A general linear equation is written as:

y = a*x + b

Where a is the rate and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the rate is:

rate = (y2 - y1)/(x2 - x1)

Using the first two points (1,644) and (4, 500) we can get the rate:

R = (500 - 644)/(4 - 1) = -48

So the number of pages remaining decreases by 48 each hour of reading, then yes, the student reads at a rate of 48 pages per hour.

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Answer:

18 were buying lunch:)

Answer: 42/This should be the right answer since 42 should be 70 percent of 60.

Answer:

Step-by-step explanation:

if we have a rectangle with W=90 and L=120, and we need to find the diagonal

we will have a right triangle with the legs 90,120

diagonal is the hypothenuse

c^2=90^2+120^2=8100+14400=22500

c=sqrt22500=150

the diagonal, c=150

The cost of pizza and salad will be $8.54 and $2.64 respectively.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

The equation will be represented as;

Let p = pizza

Let s = salad

2p + 3s = 25

3p + 2s = 30.90

Multiply equation i by 3

Multiply equation ii by 2

6p + 9s = 75

6p + 4s = 61.80

Subtract.

5s = 13.20

Divide

s = 13.20 / 5

s = $2.64

Pizza will be

2p + 3s = 25

2p + 3(2.64) = 25

2p = 25 - 7.92

p = 17.08 / 2

p = 8.54

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l

Complete question

Two groups of students went to pizza delight one group paid 25 dollars 2 pizzas and 5 salads the other group paid 30.90 dollars for 3 pizzas and 2 salads. Find the cost of the pizza and salad.

Answer: (x+2)²+(y+1)²=1

Step-by-step explanation:

                               Circle equation

                      \(\boxed {(x-x_o)^2+(y-y^0)^2=R^2}\)

O(-2,-2)       A(-3,-1)

Hence,

\((x-(-2))^2+(y-(-1))^2=R^2\\(x+2)^2+(y+1)^2=R^2\\\)

                             Line length formula

                        \(\boxed {L^2=(x_2-x_1)^2+((y_2-y_1)^2}\)    

x₁=-2    x₂=-3    y₁=-1     y₂=-1

AO²=(-3-(-2))²+(-1-(-1))²

AO²=(-3+2)²+(-1+1)²

AO²=(-1)²+0²

AO²=1+0

AO²=1

AO=R

Hence,  

R²=1²

R²=1

The overall profit of the corporation as during time period is $ 2.5 x 10⁷

As the question expressed-

Earned profit - $2. 5 x 10 to the 4th power

In scientific notation - $2. 5 x 10⁴

Number of days - 1 x 10 to the 3rd power

In scientific notation - 1.0 x 10³

Total profit = Earned profit x Number of days

Total profit = $2. 5 x 10⁴ x 1.0 x 10³

Total profit = $ 2.5 x 10⁷

Thus, the overall profit of the corporation as during time period is $ 2.5 x 10⁷.

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Answer:

1800

Step-by-step explanation:

3.6 m=360 cm

2.4 m=240 cm

36×24=86400-the area of floor

8×6=48-the area of one tile

86400÷48=1800-the number of rectangular tiles