Please give me a step by step explanation

The modulus of 2 - 3i is √13. So, the correct option is d.

Modulus is a mathematical operation used to find the remainder when dividing two numbers. This is called a percent sign (%) and is represented by a single number such as 12. Used to determine if two numbers are divisible (no remainder). You can also use the modulus to compare two numbers to see which is greater or lesser. Additionally, this module can be used to calculate the distance between two points on the coordinate plane.

It is computed by taking the square root of the sum of the squares of the real and imaginary components, so √(2^2 + (-3)^2) = √13. The modulus of a complex number, also called absolute value, is a measure of distance from the origin.

Let z = -2 - 3i

z = (-2) + (-3)i

Modulus of z = √((-2)² + (-3)²)

√(4 + 9) = √13

Modulus of z = √13

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Answer:

100 = 4×25

= 1×2×2×5×5

.......

Answer:

Step-by-step explanation:

5x+8+6x-6=90

11x+2=90

11x=88

x=8

angle BOC = 6x-6 = 48-6 = 42 degrees

Answer:

6y² - 30y= 6y (y-5)

Step-by-step explanation:

Answer: 39 times

Step-by-step explanation: A fair dice has 6 sides with each side having a different number between 1 and 6. Therefore, the probability of rolling a 1 is 1/6. To find out how many times June would expect to roll a 1 after rolling the dice 234 times, you must multiply 234 by 1/6 to get the answer of 39.

Answer:

0.35cm

Step-by-step explanation:

Step 1

We find the volume of the container.

The formula = Length × Width × Height

Length = 20cm

Width = 30cm

Height = 50cm

The volume of the tank = 20cm × 30cm × 50cm

= 30000 cm³

Step 2

We are told that:

The tank can fill exactly 200 of these containers

We have to find the volume that 1 cylinder will contain

Hence,

200 containers = 30000 cm³

1 container = x

Cross Multiply

200 × x = 30000cm³

x = 30000cm³/200

x = 150cm³

Step 3

We find the base radius of the cylindrical tank

Height = 4m

Convert to cm

1m = 100cm

4m = x

Cross Multiply

x = 4 × 100cm = 400cm

Volume of the cylinder = πr²h

Radius = √V/πh

Radius = √150/π × 400

Radius = 0.35 cm

Therefore, base radius = 0.35cm

Answer:

-2n - 3

Step-by-step explanation:

5n + 6 + (-7n) - 9

5n + 6 - 7n - 9

5n - 7n + 6 - 9

-2n - 3

Answer:

x = 405

Step-by-step explanation:

DBE is 0.1x-33 and the measurement of angle CBE is

The sum of both angles form a right angled triangle ;

DBE + CBE = DBC

DBC = RIGHT angled triangle = 90°

(0.1x-33) + (0.3x - 39) = 90°

0.1x - 33 + 0.3x - 39 = 90°

0.1x + 0.3x - 33 - 39 = 90

0.4x - 72 = 90

0.4x = 90 + 72

0.4x = 162

x = 162 / 0.4

x = 405

Answer: 30

Step-by-step explanation:

3 times 2 is 6 and divided by 2 is 3 and 3 times 10 is 30

Answer:

√34

Step-by-step explanation:

To find the distance between two points, you can use the distance formula, which is:

d = √[(x2 - x1)^2 + (y2 - y1)^2]

We can plug in the points (3, 7) and (-2, 10) to get:

d = √[(-2 - 3)^2 + (10 - 7)^2]

We can simplify.

d = √[(-5)^2 + (3)^2]

d = √(25 + 9)

d = √(34)

d =  √34

To find the difference between (-7*-7) + -(7*7), we first need to calculate the values of each expression.

(-7*-7) = 77 = 49

-(77) = -49

The difference between these two values is 49 - (-49) = 49 + 49 = 98.

Therefore, the answer is A) 98.

The Correct answer is Option (A) = 98.

We need to determine the value of each part and calculate their difference. after that.

Here,    (-7*-7)= 49

and,     -(7*7) = -49

Now, their difference is to be calculated as follows:

          =49 - (-49)

          = 49+ 49

          = 98.

So, the answer is 98.

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Answer:

h ≤ 16

Step-by-step explanation:

If he plans to cook 16 of less hotdogs, h is going to be equal to or less than 16. The circle is closed because he could cook 16.

Answer:

For the first question it would be answer 4

Since they ask you "at most 16 hot dogs," that means that it has to be less than or equal to 16.

For the second question, you would put the endpoint on 16 and make the arrow going left.

Answer:

PF

Step-by-step explanation:

Since the triangles are congruent, meaning they are the same shape, we can just match the lines between the two triangles. In triangle ABC, the line AC is the hypotenuse of the triangle. So, we need to find the hypotenuse of the triangle PDF. Looking, we can see the hypotenuse of the triangle PDF is the line, or side, PF.

Hope this helped!

For k=0 or k=3, the given equation will be a perfect square.

Note:  we are taking the equation to be: (4−k) X^2+(2k+4) x+8k+1=0

Taking,

(4−k) X2+(2k+4) x+8k+1=0

Here, a=4+k, b=2k+4, c=8k+1

The given equation will be a perfect square, When D= 0

We know, D = b^2−4ac [A perfect square trinomial is an expression that can be generated from the square of a binomial equation. If an equation has the formula ax^2 + bx + c and meets the requirement b^2 = 4ac, it is referred to as a perfect square trinomial. The formula for the perfect square has the following variations: ax2 + 2abx + b2 = (ax + b). When b^2 = 4ac, we know that an equation is a perfect square.]

b2−4ac=0

(2k+4)2−4(4−k) (8k+1) =0

4k2+16+16k−4(32k−8k2+4−k) =0

K2+4+4k−32k+8k2−4+k=0

9k2−27k = 0

K2−3k = 0

k(k−3) =0

k=0 or k=3

Hence for k=0 or k=3, the given equation will be a perfect square.

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Answer:

Step-by-step explanation:

the equation of this function has the form y = k/x, and when x = 15 and y = 3, the value of k can be calculated as follows:

3 = k/15, or (by multiplying both sides by 15) k = 45

Then y = 45/x

Answer:

6sqrt(2)=8.5

Step-by-step explanation:

Using pythagoras theorem

The measure of BC is 8.486 unit.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given angle is 45 degree.

Hypotenuse = 12 unit

Now, using Trigonometry

sin 45 = P/ H

sin 45 = BC / 12

0.707 = x/ 12

x = 8.486 unit

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Answer:

A.35/8

B.7/3

C.27/5

those r the improper fractions of the mixed fractions

Answer:

36mm

Step-by-step explanation:

12^2 + 9^2 = c^2

144 + 81 = c^2

225 = c^2

[tex]\sqrt{225}[/tex] = 15

c = 15mm

12+9+15 = 36

The point that is -2 on the number line is point B. Option B

We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.

In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.

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To complete the table, we can simply multiply the number of calories by 0.239 to find the equivalent amount of Joules.

The equation relates Joules to calories as j = 0.239c, where c stands for calories and j stands for joules. For example, 1 calorie is equal to 0.239 Joules, 2 calories is equal to 0.478 Joules, and so on.

Joules (j)              Calories (c)

0.239c                  1

0.478c                  2

0.717c                  3

0.956c                  4

1.195c                  5

1.434c                      6

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Answer:

i think you asking for a equation if so here

hope it helps brainiest?

Step-by-step explanation:

x=total cost

x=0.75m+4

In 5 years the population will be fewer than 13000.

What is percentage ?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. Percentage, a relative value showing hundredth parts of any amount, is a relative measure that indicates how many questions on a test you correctly answered out of 100 (75/100). Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified percentage.

20000( 1 - 9% )^5

≈ 12481

12481 < 13000

ie 5 years

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Answer: 75p

Step-by-step explanation:

So, if one kilogram of bacon is £1.50, then half a kilogram would cost half of that, so 75p

Answer:

Step-by-step explanation:

x - 4y =

-2 - (6 x 4) =

-2 - (24) =

-2 - 24 =

-26

Hope that helps! :)

-Aphrodite

Answer: 875 people

Step-by-step explanation:

The 375 people seated represent 30% of the total number of people who wanted seats but these ones got them.

This means that the number of people who wanted seats is 70% of the number of people who wanted seats.

Assume the number of people who wanted seats is x:

30% * x = 375

x = 375 / 30%

x = 1,250 people wanted seats.

Those who wanted seats but couldn't get:

= 1,250 * 70%

= 875 people

Answer:

3.14

Step-by-step explanation:

-8 - 92.5 = -100.5, and then -100.5/(-32) = 3.14

Alternatively, type in (-8 -92.5)/(-32)

By using the fact that the two images are similar, we can write and solve a linear equation to get x = 3/2.

We know that the two figures are similar, then, if we take the quotient between the adjacent sides for both figures, these quotients should give the same value.

Thus, we can write the equation:

14/10 = (x + 9)/(x + 6)

Now we can solve that equation for x, if we multiply both sides by (x + 6) we will get:

(14/10)*(x + 6) = x + 9

Now we can multiply both sides by 10 to get:

14*(x + 6) = 10*(x + 9)

14x + 84 = 10x + 90

Now we can solve this linear equation for x.

14x - 10x = 90 - 84

4x = 6

x = 6/4

x = 3/2

That is the value of x.

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