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3 years ago

10

Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect x is

4/3. In other words, a change of 1 unit in x corresponds to a change of 4/3 units in y

1 answer:

anyanavicka [17]3 years ago

4 0

Answer:

Y = 4/3 x

Step-by-step explanation:

As 4/3 is the gradient and per every 1 unit the gradient is constant

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If z1 =2cis120, z2=4cis20, and z1/z2=a+bi, then a = __ and b = __?

balu736 [363]

Hello from MrBillDoesMath!

Answer:

a = 0, b = 1/2

Discussion:

z1 = 2 cis120, z2 = 4 cis30

NOTE: The question states z2 = 4cis20 but the image shows 4cis30. I'm using the values shown in the image.

z1/z2 =

2 cis120 / 4 cis30 =

(2/4) cis(120-30) =

(1/2) cis(90) =

(1/2) (cos90 + i sin90) = => as cos90 = 0 and sin90 =1

(1/2) (0 + i) =

0 + (1/2) i

If z1/z2 = a + bi, then a = 0. and b = 1/2

Thank you,

MrB

5 0

4 years ago

What is the nth term rule of the quadratic sequence below?<br> 6,12,20,30,42,56,72

const2013 [10]

Answer:

n(squared)^2 + 3n + 4.

Step-by-step explanation:

<h3>Sequence: 6, 12, 20, 30, 42, 56, 72.</h3>

First, lets find the first difference between the numbers. (In other words, let find the number gap difference between the first, second, third, fourth, fifth, sixth and seventh term).

In this case, it'll be..

first difference = 6.

second difference = 8.

third difference = 10.

fourth difference = 12.

fifth difference = 14.

sixth difference = 16.

Now we have the differences between the numbers, we need to do the second difference, which in this case is 3, meaning you have 3n.

Then, you would find out that n(squared)^2, is gonna be part one of your answer.

So, therefore so far we have in our answer: n^2 + 3n.

To then find the last part of our answer, we find our term 0. (The term before the first one given, in this case is 6).

So then you do you do your Term 1 = 6, and then take 2 away from it, giving you 4.

So, our final answer should be, n^2 + 3n + 4.

Hope :)

-Emilie Xo this is right and it helps! Xo

3 0

3 years ago

Read 2 more answers

Which of the following equals cos 80° ?<br> A. sin 100°<br> B. sin 20°<br> C. sin 10°<br> D. sin 80°

Rzqust [24]

Answer:

C

Step-by-step explanation:

3 0

3 years ago

If a grade is 75 of your grade you got 80 what is your final.grade

evablogger [386]

You have to find the mean.

Add up all the points from the assignments and the 80.

Then Divide. For example, if there are 23 assignments in the grade book, divide by 23.

Now you have your final grade.

Example: 80+ 76 + 59 + 79 = 294
There are four assignments so you divide by four: 294÷4= 73.5
Final grade is 73.5

I hoped this helped.

7 0

4 years ago

Gina worked 32 hours at a rate of $24.50 per hour . which in the table will help her caculate her income tax for this week ?

shusha [124]

Alright, to start the problem, we need to know what Gina makes! If Gina worked 32 hours for $24.50 per hour, all we need to do is multiply 24.50 by 32 to get 748, which means that this week, Gina made $748!

Next, we need to look at the chart to see where he falls on income tax. Because Gina made more than $218, she makes too much for line 1. Because Gina made more than $758, she makes too much for line 2.
Because Gina made less than $1762, and more than 753, it looks like Gina will fall into line 3, so your answer should be C!

6 0

4 years ago