please help and show work
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The modulus of the complex number is 5.

The value of z is a complex number with a real and imaginary value. Let's assume the complex number z is given as:

[tex]z = 3 + 4i[/tex]

The modulus of the complex number is given as:

[tex]|z|=\sqrt{x^2+y^2}[/tex]

From the given complex number:

Substitute into the formula:

[tex]|z|=\sqrt{3^2+4^2}\\|z|=\sqrt{9+16} \\|z|=\sqrt{25}\\|z|=5[/tex]

Hence the modulus of the complex number is 5.

Note that the complex number was assumed.

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Answer:

[tex]\sqrt{10\\[/tex]

Step-by-step explanation:

if u look at it and and which ones have more then u will get ur answer

Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

In the given functions which are in the form of ax²+bx+c=0 such functions are considered as quadratic function.

The highest power of the variable x should be two.

f(x)=5² is not a quadratic function.

f(x) = 2/x is not a quadratic function.

f(x)=3(x-4)(x+3)

Let us simplify the function

f(x)=3(x²+3x-4x-12)

=3(x²-x-12)

f(x)=3x²-3x-36

So f(x)=3(x²+3x-4x-12) is a quadratic function.

Hence, Option C is correct, f(x)=3(x-4)(x+3) is a quadratic function.

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Answers:

========================================

Explanation:

If x repeats itself, then we don't have a function. For instance, relation 2 has the x value -4 show up twice. That input leads to multiple outputs which is why we don't have a function. Relation 4 is a similar story (this time the input 'u' shows up twice).

Relations 1 and 3 don't have this issue, so they are functions.

Answer:

7.5 g salt

10g yeast

50 ML oil

450 ML water

Step-by-step explanation:

You would do 1/4 of the amount of (insert ingredient amout) added to the total (insert ingredient amount)

The number of days it would take 15 people to complete the task is 9.1 days.

The formula used to represent inverse proportion is:

y = [tex]\frac{k}{x}[/tex]

The information given in the question can be represented with:

2 = k/10

k = 20

The number of weeks it would take 15 people to complete the same task:

20 / 15 = 1.3 weeks = 9.1 days

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SI

$1 000 × 4 % × 10 = $400

CI

($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24

Interest on interest only applies to Compound Interest.

Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24

- BRAINLIEST answerer

The solution is $ 1050

The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the initial amount or principal be P = $ 1000

The rate of interest R = 5 %

The time period T = 1 year

So , the simple interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 1000 x 5 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 5000/100

Simple Interest S = $ 50

And , the amount after one year = Principal + Simple Interest

The amount after one year A = $ 1000 + $ 50

The amount after one year A = $ 1050.00

Hence , the amount is $ 1050.00

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Answer:

I don't know it's very hart

Answer:D

Step-by-step explanation:

The equation is y=mx+b. Here the slope is 1/5 and b is 5

Answer:

D

Step-by-step explanation:

Y intercept is +5

Slope is going up one and over five, so 1/5.

y=1/5x+5

Answer:

an exponent is the small number written above and to the right of a number

on a keyboard it is written like (^) that

ex. If you were saying 2 to the power of 2, you would write it as 2^2

when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself

Step-by-step explanation:

The sum of the two interior angles of the regular pentagon will be 540°

A polygon is a plane figure described by a finite number of straight-line segments connected to form a closed polygonal chain in geometry. A polygon is defined as a bounded plane region, a bounding circuit, or both.

We can also calculate the sum of the interior angles of the pentagon in the following way:

We know that the sum of the interior angles of a polygon of n sides

Sum = (n – 2) × 180°.

Sum = 3× 180°= 540°.

Hence, the sum of the interior angles of a pentagon is 540°.

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Answer:

[tex]x[/tex] = 14

Step-by-step explanation:

(4x-1)+(2x+7)+90=180

Answer:

Yes

Step-by-step explanation:

If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:

60 * 3.5 = 210 miles

Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.

Answer:

3321

Step-by-step explanation:

Answer: Cooperative advertising

Step-by-step explanation:

Answer:

-1/28

Step-by-step explanation:

You need to convert 2/7  and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28

Answer:

-1/28

Step-by-step explanation:

You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.

Answer:

Nope. Moltiplication (and thus divisions) has to be done before any addition or subtractions, unless parenthesis indicate otherwise.

[tex]3(5)^2 - 18\div 3 = 3(25) - 6 = 75-6=69[/tex]

Answer:

The first one

Step-by-step explanation:

if you count, there are five full rows, and two extra, so 52/100. then you count the sections that the colored area is: 4. then count how many squares are in each colored section: 13.

Answer:

x=-29/24

y=3/8

Step-by-step explanation:

3x-9y= -7 ---A

2y-6x= 8----B

multiply eq A by 2

6x-18y=-14

-6x+2y=8

Add both equations, so you eliminate x since 6x+(-6x) = 0

-18y+2y= -16y

-14+8=-6

so you have

-16y=-6

y=3/8

now substitute this back to eq B, (you can use eq A as well if you like)

2(3/8)-6x=8

3/4-6x=8

-6x=29/4

x=-29/24

Answer:

x = 16

Step-by-step explanation:

(8x - 14) = (5x + 34) since they are alternate exterior angles.

Solve for x:

8x - 5x - 14 = 34

3x - 14 = 34

3x = 34 + 14

3x = 48

x = 48/3  = 16

Answer:

648

Step-by-step explanation:

2=2

Answer:

This is like quadratic equation you just say y=1x+-2 and then you get the answer

[tex]3s - 1 + 7s - 1 + 10s - 8 + 10s - 8 \\ 10s - 2 + 20s - 16 \\ = 30s - 18[/tex]

Answer:

Hell your answer for x is 4 11/14 ( that is what i got)

Step-by-step explanation: K12

Answer:

1/5

Step-by-step explanation:

rise = 2 ft

run = 10 ft

slope = rise/run = 2/10 = 1/5

Answer: 1/5

Answer:

1/5

Step-by-step explanation:

The slope is the rise over the run

Y / x

2/10

1/5

Answer:

8 and 2

Step-by-step explanation:

If you add them together you get 10. (8 + 2 = 10)

If you multiply them you get 16. (8 x 2 = 16)

Have a great day! (I'd love brainiest if you could give it to me!)

Answer:

60 miles

Step-by-step explanation:

1 hour = 25 miles. To find how much the shark can swim during 2.4 hours, we just have to multiply 25 by 2.4, which is 60, and that's your answer.

Tell me if I'm wrong :)

Answer:

y=3x-1

Step-by-step explanation:

The y-intercept is at -1 if you go down 3 left 1, and then down 3 left 1 again and you are left at (0,-1)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

total # of families=15

families that own 0 cars=2

families that own 1 cars=5

families that own 2cars=4

families that own 3 cars=3

families that own 4 cars=1

so 2+5+4+3+1=15

total# of families/ sum of cars = 15/15=1