Answer:
B. cos(pi/2) +i·sin(pi/2)
Step-by-step explanation:
You can convert to rectangular and back, or you can use the trig function relations directly.
w = 4·cis(π/2) = 4i
z = 3·cis(3π/2) = -3i
Then the sum is ...
w +z = 4i -3i = i = cis(π/2) . . . . matches choice B
__
An alternative representation of z is ...
z = -3·cis(π/2)
Then ...
w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)
_____
Additional comment
In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).
Find the slope-intercept equation of the line that has a slope of -2 and goes through the point (5,-2).
What is the measure of < A B C ?
143.25 °
is the correct answer.
please mark my answer as brainest and follow me to get the answer faster.
The price of trail mix at a health food store is
$7.50 per pound. At that rate, what is the total
cost of three 8-ounce bags of trail mix?
Answer:
$3.75 every 8 oz bags.
Step-by-step explanation:
7.5 divided by 2 to get 3.75. 1 LB is equal to 16 oz so 8 is half of 16.
Landon and chris are playing a video game . At the end of the game the boys scored 209 points total if Landon scored five more than twice the number of Points that chris did how many points did Landon score
Answer:
428
Step-by-step explanation:
209+5=214
214x2= 428
I think this is the correct answer, if it's not I'm sorry :3
Five years ago, a father was 3 times as old
as his son, now their combined ages amount
to 110 years. How old are they?
Answer:
Father is 80 years old and the son is 30
Step-by-step explanation:
Let father be x and son be y:
x-5 = 3(y-5)
x = 3y-10 ------ eq1
x+y = 110
x = 110 -y -------- eq2
Now if we combine the 2 equations we get:
3y + y = 110+10
y=30 (sons age)
Substituting in equation 2 we get:
x = 110 - 30
x = 80
Therefore, the fathers age is 80 and the sons age is 30.
A store has 120 customers in 6 hours. what is the unit rate in cumstomers per hour?
Simplify the expression.
3.7-4.6n-3n + 6
Answer:
−7.6n+9.7
Step-by-step explanation:
First, lets put the equation
≈3.7 - 4.6n - 3n + 6
Add light terms
−7.6n + 9.7
Now were done
PLZ HELP ITS SUPER URGENT
Find the length of X
Answer:x is two
Step-by-step explanation:
Find the slope of the line that passes through (2,3) and point (4,4)) using m=y2-y1/x2-x1
Answer: The slope is 1/2 or 0.5
Which graph is a quadratic graph? A. graph A B. graph B C. graph C D. graph D
Answer:
graph ab
Step-by-step explanation:
Step-by-step explanation:I just did it and got it right...
ANSWER ASAP PLEASE!!!!!
What is the domain of the square root function graphed below?
A. x is greater than 1
B x is greater or equal to 1
C. x is greater than 3
D. x is greater or equal to 3
Answer: the answer is D hope it helps.
Just took the test. Edge
HELLLLLLLLPPPPPPPPPPPPP
Answer:
C
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Pa brainliest po
Math
Convert from fraction to decimal. 5/8
Answer:
5/8=0.625
Step-by-step explanation:
5/8=decimal
5/8=0.625
Hope this helps :)
Answer:
0.625
Step-by-step explanation:
We know that 1/8= 0.125, so to get 5/8 as a decimal you would do 5 times 0.125.
do u mind help me pls?
2. perpendicular, parallel, perpendicular, neither, parallel
3. A
4. B
or Precalculus
Unit: Get ready for trigonometry
x
Unit test
f is a trigonometric function of the form f(x) = a cos(bx + c) + d.
Below is the graph of f(x). The function has a maximum point at (pi, 9) and a minimum point at
(3pi/4, 1)
Find a formula for f(x). Give an exact expression.
Answer:
4cos(4x-4pi)+5
Step-by-step explanation:
It was from khan
you have $5.88. You buy 8 items that cost $0.44 each How many items much money do you have left?
Answer:
$2.36
Step-by-step explanation:
0.44 x 8 = 3.52
5.88 - 3.52 = 2.36
$2.36
-Chetan K
find the unknown angle
Answer:
total angles in triangle = 180
180 = 44+56+ y
y = 180-44-56
y = 80°
now to find z and x
we know the 2 straight lines are parallel (indicated by arrows)
x = 56°
z = 44°
how?
alternate angles theorem
Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.
Steve bought 7 boxes of pencils. Each Box contained 9 pencils. He wants to give each of his 6
friends as many pencils as possible and keep the rest. Which statement is true?
Answer:
A
Step-by-step explanation:
7*9=63
63/6= 10 remainder 3
Therefore each friend gets 10 boxes of pencils and Steve gets the leftover 3 boxes of pencils
{1, 2, 3, 4, 5, ..., 198, 199, 200}
How many members of the set shown above are multiples of 6 but not a multiple of 9?
(I need a faster way of doing this question. Not listing the factors of 6 and 9 one by one.)
Thank you so much. I will give brainliest!!!
Answer:
22
Step-by-step explanation:
The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.
There are 11 groups of 18 numbers in 1–200, with 2 left over. That means there will be 11×2 = 22 numbers that are multiples of 6 but not 9.
__
200/18 = 11 remainder 2
What is the slope and y-intercept of the equation 3x + 2y + 18 = 0
Answer:
Slope: -3/2
Y-Intercept: (0,-9)
Step-by-step explanation:
The transformation shown is a rotation.
True or False
HELP ME PLEASE IS IMPORTANT AND ASAP!
Determine whether f(x)= 5 - 2x2 -5x has a maximum or a minimum value and find that value.
Answer:
maximun (0,5)
Step-by-step explanation:
Answer:
So, I put Maximum. (-5/4, 65/8) and it was correct
Step-by-step explanation:
I don't know how to do step by step sorry
Factor completely:
–abc –5ac –4ab –20a
Answer:
[tex]-a(b+5)(c+4)[/tex]
Step-by-step explanation:
[tex]-abc-5ac-4ab-20\\-a(bc+5c+4b+20)\\-a*c(b+5)+4(b+5)\\-a*(b+5)(c+4)[/tex]
The factor of the given expression is -a(b+5)(c+4)
What is factorization?Factorization in maths is the process of breaking down a number or a mathematical object into smaller or simpler factors that can be multiplied together to get the original number or object
Given is an expression, –abc –5ac –4ab –20a, we need to factor it completely,
-abc -5ac-4ab-20
- a(bc +5c+4b+20)
- ac(b+5)+4(b+5)
- a(b+5) (c+4)
Hence, the factor of the given expression is -a(b+5)(c+4)
Learn more about factorization, click;
https://brainly.com/question/14549998
#SPJ2
divide $70 into the ratio of 2:7: 1
Answer:
$14:$49:$7
Step-by-step explanation:
To solve this question you first add the ratios.
So 2+7+1, which is 10. You then take this number and divide it by 70 to find 1 part. 70 divide by 10 is 7, which represents 1 part.
7 times by 2 is 14, 7 times by 7 is 49 and 7 times by 1 is 7.
Thus you get the ratio, $14:$49:$7.
And if you add 14+49+7, you get 70!
Meaning of =N
please
your ans. in above pic
Lamar is a commercial real estate agent who earns a yearly salary of $82,500 plus a 2.5% commission on his total sales. If his total sales in one year are $3.75 million, what are Lamar’s earnings for that year?
Answer:
$176,250
Step-by-step explanation:
Multiply $3.75 million by Tomas commission on his total sales.
Since you can't multiply a percentage you have to turn the commission into a decimal by moving it two spaces to the left. (Note: if it doesn't have a decimal add one add the end of the number then move it two spaces to the left)
$3,750,000 x .025 or 0.025 = $93,750
Add $93,750 to Tomas yearly salary
$93,750 + $82,500 = $176,250
So
If Tomas sold properties that totaled $3.75 million in sales during one year, his earnings for that year would be $176,250
PLZZZZZ HELP ITS TIMED
Answer:
2. a.
3. g.
4. e.
help please! 90 points
Elsa recorded the different types of ice cream her friends like in the table below: Ice Cream Type Number of Friends Chocolate 3 Pistachio 1 Strawberry 2 Vanilla 4 Which of the following plots represents the data in the table? A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 3 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There is 1 dot above Chocolate, 2 above Pistachio, 3 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla. A dot plot line labeled Ice Cream and titled Ice Cream Flavors. Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 4 above Strawberry, and 2 above Vanilla.
Answer:
Four tick marks labeled Chocolate, Pistachio, Strawberry, and Vanilla. There are 3 dots above Chocolate, 1 above Pistachio, 2 above Strawberry, and 4 above Vanilla
Answer:
The answer is A
Step-by-step explanation:
I took the exam
Please please solve this quickly. I've tried many things before, and I have no clue what the answer is.
How much would it cost to buy three medium sodas and two hotdogs
Answer:
depends how much they cost each