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
aleksandrvk [35]
3 years ago
9

Compute $(1 + i)(2 + i)(3 + i).$

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

10i

Step-by-step explanation:

Step 1: Expand first 2

(1 + i)(2 + i)

2 + i + 2i + i²

2 + 3i + (-1)

1 + 3i

Step 2: Expand again

(1 + 3i)(3 + i)

3 + i + 9i + 3i²

3 + 10i + 3(-1)

3 + 10i - 3

10i

You might be interested in
You get a large ice-cream cone for $2.99 and a bottle of water for $1.07 . You pay with a 10 -dollar bill. How much change will
Igoryamba
10 - 2.99 = 7.01 and 7.01 - 1.07 = 5.94 so you will get 5.94 in change 
5 0
3 years ago
Read 2 more answers
ASAP WHATS THE ANSWER???
katrin [286]

Answer:

algebraic expression as they used variables

7 0
2 years ago
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip
DochEvi [55]

Answer:

The expression that represents the population of elk is: \text{elk}(t) = 2*3^t. It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at \text{elk}(0) = 2, then after the first year the population will be:

\text{elk}(1) = \text{elk}(0)*3 = 2*3

While on the second year, it'll be:

\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2

On the third year:

\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3

And so on, therefore the expression that describes the population of elk as the years passes is:

\text{elk}(t) = 2*3^t

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6

The population will reach 1,458 elk in 6 years.

8 0
3 years ago
Find the mean,median and range of the following list of values and choose the correct result.
Aloiza [94]

Mean: 10.5

Median: 10.5

Range: 5

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

<u></u>

To find the mean you order the numbers then add then divide.

<u>Add</u>

8+9+10+10+10+11+11+11+12+13=105

<u>Divide</u>

105÷10=10.5

Mean = 10.5

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

<u></u>

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.

the middle number is 10.5 so therefore it is the median.

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

<u></u>

To find the range you subtract the biggest number to the smallest number.

<u>Subtract</u>

13-8=5

Therefore 5 is the range

5 0
3 years ago
Read 2 more answers
3. Jolene gets paid 17 cents a tree for tree planting up north. In one week she planted 2437 trees. What i
mafiozo [28]

Answer:

Wage of Jolene is 414.29 dollars per week

Step-by-step explanation:

Amount received by Jolene for planting a tree is 17 cents

Given

Total amount of trees planted in a week =   2437

Wage of Jolene is equal to product of number of trees planted and amount paid for planting one tree

Wage of Jolene

= 2437  * 0.17\\= 414.29Dollars

4 0
2 years ago
Other questions:
  • What is the sum of 4.108 and 15.23
    14·1 answer
  • There are 3 types of sweets in a jar.
    9·1 answer
  • How many equivalence relations are there on the set 1, 2, 3]?
    15·1 answer
  • The area of a rectangle is 120cm and its length is 12cm .Calculate the width of the rectangle
    11·2 answers
  • Factor 1
    10·2 answers
  • What is t subtract 6 multiply by 2 then add 5
    14·2 answers
  • A bowl contains blueberries and strawberries there are a total of 20 bares in the bowl the ratio blueberries to strawberries is
    5·2 answers
  • What is the surface area of the triangular prism? A triangular prism. The rectangular sides are 20 feet by 3 feet, 20 feet by 4
    8·1 answer
  • (2)
    13·1 answer
  • Como tabular 2x - 3y = 2<br> 4x + y= 24
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!