Answer:
Step-by-step explanation:
Use the distributive property to get rid of the brackets.
9i + 2*7 + 2*3i Use the multiplication property to simplify the imaginary terms
9i + 2*3i + 2*7 Do the same to the real term
9i + 6i + 14 Use the addition of like terms property
15i + 14 And that's your answer.
You may not like my terminology, but you have to remember that every text teaches this differently.
Initial tempuratire is at t=0
T(0)=103e^0+73=103(1)+73=103+73=176 degrees
after 90 mins
T(90)=103e^-0.0182*90+72
T(90)=103e^-1.638+73
T(90)=19.6589+73
T(90)=92.6589 degrees
Answer:
Step-by-step explanation:
<u>Find the intersection of circles</u>
- x² + y² + 2x = 0 and
- x² + y² - 3y = 0
<u>Subtract the equations to find:</u>
<u>By substitution find the points:</u>
- (0, 0) and (-1.385, 0.923)
<u>Find midpoint between these two points:</u>
- x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615
<u>Find perpendicular bisector passing through this point:</u>
- y - 0.4615 = 3/2(x + 0.6925)
- y = 1.5x + 0.4615 + 1.5(0.6925)
- y = 1.5x + 1.50025
<u>Find intersection of the lines, it is the center:</u>
- y = 1.5x + 1.50025
- x + 2y + 8 = 0
<u>Solving we get:</u>
<u>Find radius, the distance from center to point (0, 0) and get equation of circle:</u>
- (x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
- x² + 5.5x + y² + 5.25y = 0
- 4x² + 22x + y² + 21y = 0
- 4x² + 4y² + 22x + 21y = 0
Answer:
the awnser is c
Step-by-step explanation:
first you take 41.20$ and you subtract you're 5%
therefore that gives you 39.14$
subtract 39.14$ from 41.20
and you get a left over of 2.06$
therefore c is you're awnser
In school 1, 50% of the students scored above 83 and in school 2, 50% of the class scored above 81.
In school 1, 25% of the students scored above 86 and in school 2, 25% of the class scored above 85.
In school 1, 25% of the students scored below 77 and in school 2, 25% of the class scored below 73.
The minimum score for school 1 is 68 while that of school 2 is 65.
The maximum score for school 1 is 95 while that of school 2 is 98.
In all this measures of center, the data from both schools are close together, so we can conclude that both schools did abut the same on the test.