1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Artist 52 [7]
3 years ago
7

Consider the number z = 5 – 5i StartRoot 3 EndRoot. What happens when z is raised to successively increasing powers?

Mathematics
2 answers:
Gekata [30.6K]3 years ago
4 0

Answer:

10 and 5

Step-by-step explanation:

Agata [3.3K]3 years ago
3 0

Answer:

10 & 5

Step-by-step explanation:

I just did the assignment EDG2021

You might be interested in
If two trucks leave a given city on highways making an angle of 132 degrees with one another, traveling at 45 and 55 miles per h
Law Incorporation [45]

Answer:

183 miles to the nearest mile.

Step-by-step explanation:

Distance =Speed X Time

Distance of Truck B from point A=45 X2 =90 miles

Distance of Truck C from point A=55 X2 =110 miles

Angles between them, BAC=132°

We want to find the Distance BC denoted by a between the trucks.

Using Cosine Rule,

a²=b²+c²-2bcCos A

=90²+110²-(2X90X110XCos132°)

=33448.79

a=√33448.79

BC=182.89 miles

The distance between the trucks is 183 miles to the nearest mile.

3 0
3 years ago
Read 2 more answers
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the
Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

f(x)= 4(4)^x

3 times a year

so x becomes 3x

f(x)= 4(1+r)^{3x}

4(4)^x=4(1+r)^{3x}

Take log on both sides

log(4)^x=log(1+r)^{3x}

log(4)^x=log(1+r)^{3x}

Use log property and move exponent before log

xlog(4)=3xlog(1+r)}

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

f(x)= 4(1+r)^{3x}

so equation becomes

f(x)= 4(1.59)^{3x}

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C



5 0
3 years ago
Pls help me on this.
Fiesta28 [93]
a) x=4

10+2x+6=24
-2x. -2x
10+6=-2x+24
-24. -24
10+6-24=-2x
simplify
-8=-2x
divide both sides by -2
4=x

2. x=7


14+3x+5=40
-3x. -3x
14+5=40-3x
-40. -40
14+5-40=-3x
-21=-3x
divide both side by -3
7=x




3 0
3 years ago
PLEASE HELP ASAPPPPPPPPPPPPPPP
Andru [333]

Answers:

  • a) -3
  • b)  7/3
  • c)  -1/2
  • d)  1/11
  • e)  undefined
  • f) 0
  • d)  2/3

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

Explanation:

If the original slope is a/b, then the perpendicular slope is -b/a

We flip the fraction and we flip the sign from positive to negative, or vice versa.

As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.

Notice how the two slopes multiply to -1

(1/3)*(-3) = -1

This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.

------------------------

If the original slope is some whole number, then rewrite it as a fraction over 1

Example: 2 becomes 2/1

That way we can flip the fraction and the sign

-------------------------

If we had an original slope of 0, then it's the same as 0/1

Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).

Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.

horizontal lines have slope of 0

vertical lines have undefined slopes

-------------------------

For part g), you'll need to convert from a mixed number to an improper fraction

Use this formula

a & b/c = (a*c + b)/c

So this means,

1 & 1/2 = (1*2 + 1)/2 = 3/2

which leads to

-1 & 1/2 = -3/2

Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.

4 0
2 years ago
Complete the steps to factor 2x^2+6x+5x+15 by grouping
worty [1.4K]
(2x^2 +6x) + (5x +15)
GCF for the 1st group is 2x and the 2nd is 5
2x(x +3) + 5(x +3)

(2x +5) (x+3)
5 0
3 years ago
Other questions:
  • What is the equation of the line shown written in slope-intercept form?
    6·2 answers
  • Determine the sample size required to estimate the mean score on a standardized test within 5 points of the true mean with 99% c
    15·1 answer
  • Look at the attachment pls!!
    5·1 answer
  • Which of the following is a solution of the equation -5x + 2 = -13: answers: x=-9, x=75 x=3 x=-3
    13·1 answer
  • Find the slope of the table below a.5,b.1,c.1/5, d.10​
    12·1 answer
  • Can somebody please help me with this question
    15·1 answer
  • Line l has a _____ slope.<br> negative<br> 0<br> positive<br> undefined
    6·2 answers
  • The total cost at an amusement park can be modeled by y = 1.5x + 20 where x is the number of rides you ride . What is the price
    9·2 answers
  • HELPPPPP!!!! MEEE!!! PLEASE!!! ASAPPP!!!!
    7·1 answer
  • -2(4h+6)/-6+h for h=-5
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!