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4 years ago

A new skateboard cost $150. You have a 30% off coupon how much money did you save with your coupon?

Mathematics

1 answer:

insens350 [35]4 years ago

5 0

150 x .30 = 45

You saved $45 if you use the coupon for the skateboard

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Write the complex number in the form a + bi.<br> 3(cos 60° + i sin 60°)

hram777 [196]

Answer:

The complex number in the form of a + b i is 3/2 + i √3/2

Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

- The complex number in the Cartesian form is a + bi

-The complex number in the polar form is r(cosФ + i sinФ)

* Lets revise how we can find one from the other

- r² = a² + b²

- tanФ = b/a

* Now lets solve the problem

∵ z = 3(cos 60° + i sin 60°)

∴ r = 3 and Ф = 60°

∵ cos 60° = 1/2

∵ sin 60 = √3/2

- Substitute these values in z

∴ z = 3(1/2 + i √3/2) ⇒ open the bracket

∴ z = 3/2 + i √3/2

* The complex number in the form of a + b i is 3/2 + i √3/2

6 0

3 years ago

Read 2 more answers

"enter the values for m, n, and p that complete the difference:"

Keith_Richards [23]

m is 3

n is 14

p is 2

trust me people

8 0

3 years ago

Read 2 more answers

These data represent the volumes in cubic yards of the largest dams in the united states and in South America. Construct a boxpl

Vsevolod [243]

Answer:

Check it below

Step-by-step explanation:

1) The Boxplot is a visual tool to easily find the quartiles of a Distribution. To construct a boxplot it's necessary to organize the data, find at least the upper (3rd Quartile) and lower quartile (1st Quartile), and register the maximum and the minimum value.

2) This graph confirms that the South American ones have much more water than the North American counterparts. Notice the Upper Quartile, (the top of the box) for the Southern ones, it's over 100,000 yrds³. And Compare to the Northern one.

4 0

3 years ago

Using the slope and the y-intercept, graph the line represented by the following equation. Then select the correct graph. x - y

Marizza181 [45]

The graph that represents the given line with slope and y-intercept is as attached below.

<h3>How to interpret Linear Graphs?</h3>

We are given the equation;

x - y - 3 = 0

Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c

where;

m is slope

c is y-intercept

Thus, our equation can be rearranged to get;

y = x - 3

Thus, y-intercept is c = -3

The graph that represents the given line is as attached below.

Read more about Linear Graphs at; brainly.com/question/14323743

#SPJ1

3 0

2 years ago

Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based o

user100 [1]

Answer:

Yes they will intersect

Function 1= F(X)=2X+5

Function 2=H(X)=3X+2

INTERSECT=(3,11)

Step-by-step explanation:

First of all, we create 2 LINEAR function, i created the function f(x)=2x+5 and the function h(x)=3x+2, both are linear(without a quadratic term). Then

you replace the x for a number:

Table 1 (F(X)=2X+5) Table 2 (H(X)=3X+2)

X=1----->Y=2+5=7 X=1------>Y=3·1+2=5

X=2---->Y=2·2+5=9 X=2----->Y=3·2+2=8

X=3---->Y=3·3+5=11 X=3----->Y=3·3+2=11

With both tables of data we can see that in the X=3/Y=11 point this two linear functions will intersect so the answer is that the two functions will intersect at (3,11)----->(X,Y)

4 0

3 years ago