MATHEMATICS MIDDLE SCHOOL

Simplified form of (3-5i)^2

Answers

Answer 1

Answer:

Answer:

-16 - 30i

Step-by-step explanation:

(3-5i)^2 = (3-5i) * (3-5i)

Applying the "FOIL" method of expanding this expression through multiplication, we get:

9 - 15i - 15i - 25 (since i^2 = -1)

Simplifying this result, we get -16 - 30i

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Which integer represents a loss of 11 yards in a football game?

Answers

Answer:

-11?

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Identify the outlier in the following data set. 65, 72, 81, 74, 28, 74

Answers

28. its the lowest one in the group

28 because it is the least number im the set

there are 104 students in the fourth grade at Allisons school. one day 15 4th graders were absent how many 4th graders were at school that day

Answers

Final answer:

To find the number of 4th graders at school on a day when 15 were absent, subtract the number of absent students from the total number of students. In this case, the answer is 89.

Explanation:

In Allison's school, there are 104 students in the fourth grade. One day, 15 fourth graders were absent. To find out how many fourth graders were at school that day, you would subtract the number of absentees from the total number of students:

Step 1: Start with the total number of students, which is 104.

Step 2: Subtract the number of absent students, which is 15.

The calculation should look like this: 104 - 15 = 89. So, there were 89 fourth graders at school that day.

To find the number of 4th graders at school on the day 15 were absent, subtract the number of absent students from the total number of students. In this case, there are 104 students in the 4th grade and 15 were absent, so the number of students at school that day is 104 - 15 = 89.

Learn more about Number of students at school when some are absent here:

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A window had a length of 8 feet and a width of 6 feet. what is the perimeter of the window?

Answers

Perimeter = 2l+2w in this case. So 16+12, 28 feet is your answer!

you are so mean to me i only said im still learning perimeter im deleting your account

write the 3- digit number That answer the riddle. I have the same ones as Hundreds digit digit. the value of my tens digit is 50. The value of my ones digit is 4.

Answers

represent the digits as
xyz where they represent whole single digit numbers

same ones place as hundreds
x=z
xyx
value of 10s is 50
one is 4
therefor since 10s is 50 divide by 10 and get 5 for tens digit
y=5
ones is 4
ones=hundred
hundred=4
number is 454

Suppose you are doing a 5,000 piece puzzle. you have already placed 175 pieces. Every minute you place 10 more pieces. Write and equation in slope intercept form to model the number of pieces placed. Is this relationship linear, how do you know?

Answers

y=mx+b

5,000=10x+175

Where x equals minutes spent working on the jigsaw.

Final answer:

The equation modelling the given scenario in slope-intercept form is y = 10x + 175, which represents a linear relationship because the rate at which puzzle pieces are being placed,10 per minute, is constant.

Explanation:

The subject of your query falls into the category of linear algebra, specifically, slope-intercept form equations and linear relationships in mathematics. In slope-intercept form, a line can be described by the equation y = mx + b, where 'm' represents the slope and 'b' signifies the y-intercept.

For your puzzle scenario, 'm' is the number of puzzle pieces you place each minute, which is 10, and 'b' is the initial number of pieces already placed which is 175. Therefore, the equation that models your situation is y = 10x + 175.

This relationship is, indeed, linear. We know this because the rate at which you are placing puzzle pieces is constant, meaning it doesn't change over time. This is characteristic of a linear relationship, as represented by the straight line on a graph. In other words, for every unit increase in time (x), the number of puzzle pieces placed (y) increases at a steady rate of 10.