0 - 17i
Step-by-step explanation:Given expression;
i⁸⁰ + i³⁸ - i17
To express the expression in the form a+bi;
i. Rewrite the expression such that it contains terms in i²
(i²)⁴⁰ + (i²)¹⁹ - i17
ii. Solve the result from (i) above using the identity i² = -1
We know that the square root of -1 is i. i.e
[tex]\sqrt{-1} = i[/tex]
Squaring both sides gives
=> [tex](\sqrt{-1} )^{2} = i^{2}[/tex]
=> -1 = i²
Therefore,
i² = -1
Substitute i² = -1 in step (i) above
(-1)⁴⁰ + (-1)¹⁹ - i17
(iii) Solve the result in (ii)
We know that the when a negative number is raised to the power of an even number, the result is a positive number. If it is raised to the power of an odd number, the result is a negative number. Therefore,
(-1)⁴⁰ + (-1)¹⁹ - i17 becomes
1 + (-1) - i17
0 - i17
(iv) Write the result from (iii) in the form a+bi
0 - 17i
what is the area of 9 cm 3 cm of the rectangle
Answer:
27cm²
Step-by-step explanation:
it should be the area of rectangle..
Answer:
Step-by-step explanation:
27 sq cm
please help!
Find the area of the circle.
Use 3.14 for pi
Answer: 153.94
Step-by-step explanation: Formula for area of a circle: pi * r^2
First find the radius by dividing the diameter by 2: 14/2 = 7
Then plug the radius, 7, and pi, 3.14, into the formula:
(3.14) * (7^2) = 153.94 inches squared
Please help me with my work
Answer:
[tex]9600 \: {ft}^{2} \\ [/tex]
Step-by-step explanation:
Area of front rectangle -
= 2 ( length × breadth )
= 2 ( 40 × 30 )
= 2 ( 1200)
[tex] = {2400 \: ft}^{2} \\ [/tex]
Area of other rectangles -
= 4 ( length × breadth )
= 4 ( 60 × 30 )
= 4 ( 1800)
[tex] = 7200 \: {ft}^{2} \\ [/tex]
Surface area of the rectangular prism
[tex] = {2400 \: ft}^{2} + {7200 \: ft}^{2} \\ = {9600 \: ft}^{2} \\ [/tex]
HEY NO LINKS I WILL CALL THE PLACE AND REPORT YOU. BUT IF YOU ANSWERIT AND SHOW STEPS I WILL GIVE YOU BRAINLIEST
Answer:
Step-by-step explanation:
1. slope = 2, initial value = 5
equation : y = 2x+5
2. slope: (3-6)/5 = -0.6; initial value = 6
equation : y = -0.6x+6
3. slope : (5- -1)/2 = 3; initial value = -1 -2*3 = -7
equation : y = 3x -7
4. Sorry, cannot see the last point.
Please help solve the question in the image
Answer:
✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Step-by-step explanation:
Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10
✔️Mean Annual rainfall for Albany (in.):
= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10
= 20.967
✔️Mean Annual rainfall for Zachary (in.):
= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10
= 25.153
✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
According to the dimensions given on the right rectangular
prism, what is the volume? Fill in the blank with an answer
rounded to the nearest hundredth.
Just type the number. You do not need to type the units.
Answer:
26.67
Step-by-step explanation:
8 x 5 x 2/3 = 80/3 = 26.67
What is the equation of the line in slope-intercept form?
Answer:
y = - 1/2x =0
Step-by-step explanation:
y = mx + b
b = intercept
m = slope
The intercept is 0.
Slope: 0 - 1 / 0+2
Slope = -1/2
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is____ units. The point (-15,___ ) lies on this circle..
I will give Brainliest
Answer:
Step-by-step explanation:
radius =( (8+7)^2 + (7+1)^2 )^1/2 = 17 unit
Equation of the circle = (x + 7)^2 + (y+1)^2 = 17^2
= (-15+7)^2 + (y+1)^2 = 17^2
=14
(-15, 14) lies on this circle
What is the value of Z?
Answer:
2
Step-by-step explanation:
2(z)+2 = 4
2z = 2 x 2 = 4
Josiah was testing to see the distance his remote would work with his drone. He was
standing in a valley that was 15.75 feet below sea level. His drone lost a connection when it
was 56-feet above sea level. What is the range on his drone remote? (Draw a picture to help)
Answer: please tell me if you got the answer to this problem. I’ve been looking for the past 2days. :)
Step-by-step explanation:
whatss the diffrence
Help please I need this answered so I can go to a party tomarrow. help!
Answer:
D.
Step-by-step explanation:
8 * 4 = 32 and 14*4=56 cm therefore the perimeter is scaled 4x larger.
tomorrow* not tomarrow.
How many positive whole numbers less than or equal to 360 are divisible by 2 or 3, but are not divisible by 18?
Answer:
You can do this through trial and error.
The answer is 260.
Step-by-step explanation:
Off the bat, we know all even numbers are multiples of 2 so 180 numbers to be precise. Now we find how many even Numbers are divisible by 18 so all factors of 18 should be satisfactory so 18, 36 etc. there are 20 of those so 180 - 20 = 160
now multiples of 3. 360 dived by 3 is 120 - 20 =100, 100+160 = 260
plz help 20 points pllllllllllllllllllllllz help mee asap
Answer:
b=4 c=7
Step-by-step explanation:
I think not positive
Answer:
453+557 = 1010
hence b is 5 and c is 3
1. Find the value of x.
A. 94
B. 76
C. 88
D. 82
Answer:
76
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)
94 = 1/2(x+112)
Multiply each side by 2
2*94 = x+112
188 = x+112
Subtract 112
188-112 =x
76 =x
Could anyone offer a step by step on how to solve this problem?
Answer:
[tex]m\angle 1 = 40^\circ[/tex]
Step-by-step explanation:
First, notice that the two lines are parallel as indicated by the arrow.
Therefore, by the Alternate Interior Angles Theorem:
[tex]\angle 1\cong \angle 2[/tex]
So:
[tex]m\angle 1 = m\angle 2[/tex]
Substitute:
[tex](2x+20)=(3x+10)[/tex]
Solve for x. Subtract 2x from both sides:
[tex]20=x+10[/tex]
And subtract 10 from both sides:
[tex]x=10[/tex]
We know that:
[tex]m\angle 1 = 2x+20[/tex]
Substitute. Hence:
[tex]m\angle 1 =2(10)+20=40^\circ[/tex]
A coffee shop offers coffee either iced or hot in sizes small, medium, and large. The flavor options are vanilla,
hazelnut, and caramel. If you received a coffee at random, what is the probability you would receive a large,
iced, hazelnut coffee?
Answer:
1/18
Step-by-step explanation:
There are 2 x 3 x 3 = 18 combinations of coffee. Only one is large, iced and
hazelnut
So, the probability is 1/18
Need help ASAP much appreciated
Answer:
If the terms on the left hand side of the equals are the same as the terms on the right hand side of the equals, there will be infinite solutions
Step-by-step explanation:
If the terms on the left hand side of the equals are the same as the terms on the right hand side of the equals, there will be infinite solutions
12x+24x +18 = 36x +24 -6
Combining like terms
36x+18 = 36x +18
Subtracting 36x from each side
18 = 18
This is always true so it does not matter what x is, the left had side will equal the right hand side
Eleisha is standing facing East. She turns in a clockwise direction and is now facing West. Through how many degrees did Eleisha turn.
Answer:
180 degrees
Step-by-step explanation:
East and west are two opposite directrions along the same line.
The angle is 180 degrees.
Answer: 180°
Step-by-step explanation: The directions on a compass would look something like this; (Refer to the image.)
A full circle is 360°. Half of 360 is 180. You would have to make a clockwise rotation by 180° to face West. Think of this picture as a clock or a circle.
I hope this helps!
D. (-7,1) PLEASE HELPPPPPPP ASAAAPPPPP
Answer:
2,3 and -1,7
Step-by-step explanation:
Tenemos 2 garrafas una al 20% y otra al 30%. Cual es su capacidad de las garrafas si tenemos 12 litros de agua
Answer:
Cada garrafa tiene una capacidad de 24 litros.
Step-by-step explanation:
Tenemos dos garrafas, definamos V como el volumen que cada garrafa tiene.
Sabemos que una de las garrafas tiene el 20%, entonces el volumen de agua que tiene esta garrafa es:
(20%/100%)*V
Y la otra garrafa tiene el 30%, entonces esta garrafa tiene:
(30%/100%)*V
El volumen total de agua es la suma de esos dos volúmenes, que nos da:
(20%/100%)*V + (30%/100%)*V
Y sabemos que tenemos 12 L de agua, entonces podemos escribir la ecuación:
12 L = (20%/100%)*V + (30%/100%)*V
Ahora podemos resolver esto para V.
12L = 0.2*V + 0.3*V
12L = 0.5*V
12L/0.5 = V
24L = V
Cada garrafa tiene una capacidad de 24 litros.
Which form do you prefer when finding the vertex of a quadratic function, vertex or standard? Why?
HURRRYYYY PLZZZZ ANSWERRR FASTTTTT
The graph represents a mechanic’s labor costs for a given number of hours of car repair.
Which statement describes the relationship between labor cost and time for a car repair?
All repairs requiring 1 hour or less have the same labor cost.
Labor costs the same no matter how many hours are used for a repair.
Labor costs for a repair are more expensive as the number of hours increases.
There is no cost of labor for a repair requiring less than 1 hour.
Answer:
A on E2020--All repairs requiring 1 hour or less have the same labor cost.
Step-by-step explanation:
I hope this is correct, if not let me know and I will fix it. I'm sorry in advance if this is incorrect.
Can I get some help with this?
A chair rental company charges $100 for delivery plus $3 per chair.
Write an explicit function for the total cost, T(c), of renting c number of
chairs.
Answer:
T(c) = 100 + 3*c
Step-by-step explanation:
cost = fee + cost per chair * number of chairs
T(c) = 100 + 3*c
Answer:
T ( c)= $ 100 + $ 3 c
Step-by-step explanation:
Given that :-
Fee for delivery = $ 100Cost per chair = $ 3No. of chair = cTo Find :-
Total cost T( c) of renting c no. of chairs.Solution :-
Total Cost, T ( c) = Fee + cost per chair × no. of chairs.
T ( c) = $ 100 + $ 3 × c
T ( c) = $ 100 + $ 3 c
HELP
PLZZZ
YOU
ARE
A
BEAST
IF
YOU
HELP
LOL <3
Answer:
-9/16 is the answer
Which of the following expressions are equivalent?
1. 5(a + 3)
2. 5a + 15
3. 3(2a + 5)
Answer:
1 and 2 are equivalent
For 1 , use distributive property. Distribute 5 to a and 3. 5 x a = 5a, and 5 x 3 = 15. Therefore, 5a + 15. This is why 1 is equivalent to number 2.
Uhh How do I do this, please answer, anyone
Answer:
3rd one down is the answer
Answer:
Well let's count how many 65's there are, there are 3
So there needs to be 3 dots on the data plot on top of the section, 65.
Let's exclude some answers, D and B since they don't have 3 hovering over the 65(since there are three 65's).
Let's count how many 67's there are, there are 4.
We need to get rid of any answers that are more than 4 or less than 4 that are hovering over the section of 67. There are no answers to get rid of, let's move onto the next number, 68! There are four 68's. Let's also get rid of any answers that have more than 4 or less than 4 on the section above 68 since we're looking at that number. C is our answer!
Johanna buys two poster frames that have the same area, but different shapes. One is a rectangular frame with a width of 40 inches and a length of 30 inches. The other frame is square. What a poster with dimensions of 36 inches X 36 inches fit in the square frame?
Answer:
No, the poster would not fit in the frame
Step-by-step explanation:
A rectangle is a quadrilateral (has 4 sides and 4 angles) with two pair of opposite and equal sides.
A square is a quadrilateral in which all sides are equal.
Given that the rectangular frame has a width of 40 inches and a length of 30 inches. The area of the rectangular frame is:
Area of rectangular frame = length * breadth = 40 inches * 30 inches = 1200 in²
Since the square frame has the same area as the rectangular frame, hence:
Area of square frame = length * length
length² = 1200
length = √1200 = 34.64
Therefore the dimensions of the square frame is 34.64 inches by 34.64 inches.
Hence a poster with dimensions of 36 inches X 36 inches cannot fit in the square frame.
the quotient of n and 6
ASAP I need an answer today will give 100 points and mark brainliest PLSSSSSSSSS :)
Answer:
The quotient of n and 6 is n/6, as quotient means divide.
for example, if it was "the quotient of 24 and 6", it would be 24/6, which is 4.