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3 years ago

What is true about the complex number: -5-5i? check all that apply.

Mathematics

2 answers:

Elza [17]3 years ago

7 0

Answer:

The modulus is 5√2

It lies in quadrant 4

Step-by-step explanation:

Alternate answers

Simora [160]3 years ago

6 0

Answer:

It is c and d. If this helps you are welcome

Step-by-step explanation:

You might be interested in

The answer for 10 2/3×31/8 rounded to the nearest whole number?

BigorU [14]

$10 \frac{2}{3} ( \frac{31}{8})$ can be changed into this equation:

$\frac{32}{3}( \frac{31}{8} )$

The 32 and 8 have a common factor of 8 and can be simplified to become this equation:

$\frac{4}{3} ( \frac{31}{1})$

Now multiply across to get $\frac{124}{3}$ which then simplifies to $41 \frac{1}{3}$ which as a decimal is 41.333 (repeating 3s). Nearest whole number is 41.

Your answer is 41

5 0

3 years ago

Bill is golfing with three friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aer

natka813 [3]

Answer: at lease 8 packages of Aero flight tees.

Step-by-step explanation:

At least 10 golf tees for each member of his foursome = total of at least 4*10 = 40 tees.

2 packages of the generic golf tees, that are packaged by the dozen = 2*12 = 24 tees.

So, Bill must buy at least 16 Aero tees.

This means he must buy 8 pairs

7 0

2 years ago

Explain the

Ivenika [448]

Answer:

a2=12 (the second term of the sequence is 12)

Step-by-step explanation:

a5=324

If the term to term rule is multiply by any number, we deal with geometrical sequence

The formula you should use is an= a1*r^(n-1) where n is the number of the term which we know. In our case we know

a5, so use 5 instead of n

Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)

a5=324

324= a1*3^4

324=a1*81

a1=4 (We find the first term of sequence, because having it you can easily search for every term )

Return to the formula an= a1*r^n-1

Now search for the second term using 2 instead of n in the formula

a2= a1*r^1

a2=a1*r, a1=4, r=3

a2=4*3=12

7 0

2 years ago

A quantity with an initial value of 600 decays exponentially at a rate of

Snowcat [4.5K]

Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

$Q(t) = 600(1 - 0.0005)^{t}$

What is the value of the quantity after 87 months, to the nearest hundredth?

6 years = 6*12 = 72 months

So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).

$Q(t) = 600(1 - 0.0005)^{t}$

$Q(1.2083) = 600(1 - 0.0005)^{1.2083} = 599.64$

The value of the quantity after 87 months will be of 599.64.

8 0

3 years ago

Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio

Bond [772]

Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 500, \sigma = 80$