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sattari [20]
3 years ago
8

jonathan ran 5 days this week. the most he ran in one day was 3.5 miles. write an inequality that shows the distance jonathan co

uld have run any day this week
Mathematics
1 answer:
poizon [28]3 years ago
4 0
Let m represent the number of miles this guy runs in a day.
He runs every day, so the minimum number of miles has to be greater than 0.
According to the problem statement, the max number of miles is 3.5 miles or less.

Translate this into a (symbolic) inequality.
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What is the complex number z=−3+3√3i represented in polar form?<br><br><br> z=____cis(____)
maks197457 [2]

Answer:

<h2>6cis120°</h2>

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos\theta and y = rsin\theta

where r is the modulus of the complex number and \theta is the argument, z in polar form is represented as:

z =  rcos\theta+ rsin\theta

z = r(cos\theta+ isin\theta)

z = rcis\theta

Given the complex number z=−3+3√3i

r = \sqrt{x^{2}+y^{2}  }

r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2}  } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6

argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

3 0
3 years ago
Multiply This Expression: -10 ( -a + 5 )
Dovator [93]
You would use distribution. So, in this case, it would be 10a - 50. You use -10 to multiply -a and 5, and you get 10a, and -50.
4 0
3 years ago
Read 2 more answers
Use the regression line for the data in the scatterplot to answer the question. On average, how many more goals will a player sc
kari74 [83]

Answer:

A. 1/2 of a goal

Step-by-step explanation:

Hello!

Given the options:

A. 1/2 of a goal

B. 3/4of a goal

C. 1 goal

D. 4/3 goals

In a linear regression analysis the interpretation of the slope is:

> The modification of the average of Y when X increases one unit.

Given the variables

Y: Goals scored in the tournament.

X: Hours of training.

To calculate the slope, you have to use the y-intercept and choose two pairs of (Y;X) values that correspond to a value on the line, for example (1;1.5) and (2;1.5).

You can calculate the slope as b= ΔY/ΔX

b= \frac{Y_2-Y_1}{X_2-X_1}= \frac{1.5-1}{1-0} = \frac{0.5}{1}= \frac{1}{2}

1st value (X₁;Y₁)= (0;1)

2nd value (X₂Y₂)= (1;1.5)

So the average goals a player scores for every additional hour of practice is 1/2.

I hope this helps!

4 0
3 years ago
Read 2 more answers
PLEASE HELP!<br> Question in picture below!
qaws [65]

Answer:

x = 13/8

Step-by-step explanation:

sqrt(8x-4) +8 = 11

Subtract 8 from each side

sqrt(8x-4) +8-8 = 11-8

sqrt(8x-4) =3

Square each side

(sqrt(8x-4))^2 =3^2

8x-4 = 9

Add 4 to each side

8x-4+4 = 9+4

8x = 13

Divide by 8

8x/8 = 13/8

x = 13/8

6 0
3 years ago
A lab technician cuts a 15 in piece of glass tubing into two pieces. One piece is 7 in longer than the other. How long are the​
zysi [14]

Answer:

2.1 in

Step-by-step explanation:

I only wrote the expression 7n = 15. Then figured it out from there. I ended up with n = 2.1

I'm sorry if this doesn't help. I tried my best to solve it. Hope this leads you to the right answer ^^

8 0
2 years ago
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