no it is not equal. its because you are multiplying one by 3 and the other by 2. you have to multiply them by the same number for them to be equal
A color document measures 10 by 15 inches. It must be reduced so that the longest side measures 3 inches. What will the dimensions of the document be once it is resized?
Answer:
C
Step-by-step explanation:
2i^20 + i^42
i^101 - i^2
Show Work
I assume you're talking about a fraction,
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²)
Remember that i ² = -1; from this it follows that
i ³ = i ² × i = -i
i ⁴ = i ³ × i = (-i ) × i = -i ² = -(-1) = 1
i ⁵ = i ⁴ × i = i
i ⁶ = i ⁵ × i = i ² = -1
and so on. In particular, raising i to some integer multiple of 4 reduces to 1.
Using the above pattern, we find
i ²⁰ = 1
i ⁴² = i ⁴⁰ × i ² = 1 × (-1) = -1
i ¹⁰¹ = i ¹⁰⁰ × i = 1 × i = i
So, we have
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = (2 - 1) / (i - (-1)) = 1 / (i + 1)
We can stop here, but usually it's more useful to have complex numbers written in standard a + bi form. To get this result, multiply the numerator and denominator by the complex conjugate of i + 1:
(2i ²⁰ + i ⁴²) / (i ¹⁰¹ - i ²) = 1 / (i + 1) × (-i + 1) / (-i + 1)
… = (-i + 1) / (-i ² + 1²)
… = (-i + 1) / (-(-1) + 1)
… = (1 - i ) / 2
or equivalently,
… = 1/2 - 1/2 i
Solve the simultaneous equations
5x + y = 11
3x - y = 9
Answer:
Step-by-step explanation:
5x + y = 11 -------------------(I)
3x - y = 9 -----------------(II)
Add equation (I) & (II)
5x + y = 11
3x - y = 9 {add and y will be eliminated and we'll get the value of x}
8x = 20
x = 20/8
x = 2.5
Plugin x = 2.5 in equation (I)
5*2.5 + y = 11
12.5 + y = 11
y = 11 - 12.5
y = -1.5
After solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
What are equations ?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .
We have,
[tex]5x + y = 11[/tex] [tex].......... (i)[/tex]
[tex]3x - y = 9[/tex] [tex]...........(ii)[/tex]
To solve we will multiply equation [tex](i)[/tex] by [tex]3[/tex] and equation [tex](ii)[/tex] by [tex]5[/tex],
[tex]15x + 3y = 33[/tex] [tex]..........(iii)[/tex]
[tex]15x -5y = 45[/tex] [tex]..........(iv)[/tex]
Now, adding both equations [tex](iii)[/tex] and [tex](iv)[/tex] ,
We get,
[tex]8y=-12[/tex]
[tex]y=-\frac{3}{2} =1.5[/tex]
Now putting value of [tex]y=-\frac{3}{2} =1.5[/tex] in equation [tex](i)[/tex] ,
[tex]5x+(\frac{-3}{2} )=11[/tex]
[tex]x=\frac{5}{2} =2.5[/tex]
So, using the elimination method we find out the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex], which was find out simultaneously.
Hence, we can say that after solving the equations simultaneously we get the value [tex]x=\frac{5}{2}[/tex] and [tex]y=\frac{-3}{2}[/tex].
To know more about equations click here
https://brainly.com/question/20380548
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#6thgrademath plz help
Answer:
Check pdf
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
40,404x40=1,616,160
57,616x40=2,304,640
2,304,640-1,616,160=688,480
What is the solution of the equation?
1/3y = 4 5/6
4,6,9, ...
Find the 8th term.
Answer:
39
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
the answer is going up by the numbers 1,2,3,4...
you start with 4 and go up by 2
you then get 6 that's when you count up 3
you get 9 and then count up 4
which is 13 count up 5
18 count up 6
24 count up 7
31 count up 8
39
Which statement is best supported by the information in the box plots?
A. The interquartile range for Orchard G is greater than the interquartile range for Orchard H
B. The median number of baskets harvested from trees in Orchard G is less than the median number of baskets harvested from trees in Orchard H.
C. The minimum number of baskets harvested from trees in Orchard H is less than the minimum number of baskets harvested from trees in Orchard G.
D. The data for Orchard H are more symmetrical than the data for Orchard G.
Answer:
B is the correct
Step-by-step explanation:
choose as brinliest
What is a quadratic function that has zeros of x=-1 and x=-2?
Write in factored form.
Answer:
f(x) = (x + 1)(x + 2)
Step-by-step explanation:
Zero x = -1 corresponds to factor x + 1, and zero x = -2 to x + 2. Thus, the quadratic in question is
f(x) = (x + 1)(x + 2)
Neal buys a board game. He pays for the board game and pays $1.54 in sales tax. The sales tax rate is 5.5%.What is the original price of the board game, before tax?
Answer:
28
Step-by-step explanation:
1.54 divided by 0.055 = 28
find the cost of 24 opera tickets at 112 each
Answer:
2688
Step-by-step explanation:
Answer:
The answer is - 2688
Step-by-step explanation:
24×112=2688
In ΔPQR, r = 870 cm, p = 410 cm and ∠Q=142°. Find ∠R, to the nearest degree.
Answer: 26
Step-by-step explanation:
Which numbers from the list below are irrational numbers?
Your answer:
fraction numerator square root of 3 over denominator 7 end fraction
square root of 2.3 end root
8.5353...
fraction numerator negative 2 over denominator 5 end fraction
Answer:
1st and 2nd option are the correct answers.
115
149°
What is the degree measure of v?.
A)
31°
B)
34°
58°
D)
749
10x + 4x 3 – 4 Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
PLEASE HELP!!!!
Identify the following
Answer:
definitions
Step-by-step explanation:
central angle
interior angle
diameter
chord
tangent
arc
Please give me the correct answer.Only answer if you're good at math.
answer:
the 1st hour is 14 euros and each hour after that is 2 euros
step-by-step explanation:
so usually when renting something there is an upfront fee you have to pay first. in this case, that fee is 14 euros. now, sometimes you also have to pay a relatively small amount of money for each hour you're using it, in your case that is the 2 euros.
good luck :)
hopefully, this helps
have a great day !!
Answer:
The first hour is 14 euros and each hour after that is 2 euros.
Step-by-step explanation:
I hope I get brainliest. I answered without looking at the other person's answer. I just want to help.
If a total of 100 people bought drinks at the
stadium on Monday, how many could be expected to
have ordered a small, medium or a large?
Answer:
33.33333
Step-by-step explanation:
You really don't know what they could've ordered, just divide by 3, to get an average of each.
I need help plssssssss
Answer: x = 0
is basically
Work out the cheapest way to buy 48 cans of cola
Answer:
Where is the image? I did something like this so if you are looking for that answer they are both the first one.
Find the value of 15/4 ÷ 5/8.
Step-by-step explanation:
15/4 ÷ 5/8
15/4×8/5
3×2
=6
Answer:
6
Step-by-step explanation:
PLEASE HELP
A circular hot tub has a diameter of 3 feet. What is the approximate
circumference of the hot tub?
9.42
15.70
18.84
25.12
Ryan bought a brand new car for $18,000. It's value depreciated at a rate of 1.2% write a function to represent the value of the car as a function of time
Answer:
gds
Step-by-step explanation:
hgfdz
b
Gerald recorded the gains and losses for each play on the football field. Gains were marked with a + and losses with a –. Play 1 2 3 4 Yards +4 –6 –2 +3
Answer:
Play 3
Step-by-step explanation:
Given:
[tex]\left\begin{array}{ccccc}{Play}&{1}&{2}&{3}&{4}&{Yards}&{+4}&{-6}&{-2}&{+3}\end{array}\right[/tex]
Required [Missing from the question]:
Determine the play with the least change in yard?
To do this, we ignore the sign in front of each yard before we analyze.
So, we have:
Play 1 has a change of 4
Play 2 has 6
Play 3 has 2
Play 4 has 3
From the above analysis, play has the least (which is 2)
A model car has a length of 7.25 inches. The actual car is 14.5 feet long. What is the scale of the model car?
Answer:
1:24
Step-by-step explanation:
Convert inches to feet, 7.25 inches is 0.604 feet.
0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x
Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• absolute value of 1
(worth 100 pts
Answer:
Step-by-step explanation:
since the absolute values do not apply to positive numbers because the absolute value of say 5 is still five. But the absolute value of -5 is 5.
the absolute value of 1 is 1.
so it is 1 unit above sea level
|_._._._._._._._._._._._|
-5,-4,-3,-2,-1,0,1,2,3,4,5
^
||
Answer:
If on a number line, to the right of zero but if not and you're trying to oppose it, it's -1.
Step-by-step explanation:
Find the value of x.
A) 3 √3
B) 6 √3
C) 12 √3
D) 6
Answer:
x=6√3
Step-by-step explanation:
I hope this helps.
Answer:
use trigonometric ratios. I think you use tan whereby tan is opposite over adjacent. the opposite side is X and the adjacent side is 6 . we looking for X you gonna calculate
X=6tan60
=6√3
Using the information provided, identify the
domain and range.
I really need help I don’t understand this
Answer:
Domain: x>=-5
Range: y>=-6
Step-by-step explanation:
the distance from Portland to Seaside is 75 miles what is the distance in inches on the map which scale of 1.25 in:25 mi
I also need help with this other one
the distance between Portland to Seaside is 75 miles what is the distance in inches on the map with a scale of 1.25 in:25mi
Answer:
1.25in/25mi = x/75mi
25x = 93.75
x = 3.75
3.75 inches
Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chase’s T shirt. What expression can be used? A. 3k B. 3-k C. K+3
D. K-3 Real quick please!
Answer:
D
Step-by-step explanation:
Hope this helps
Need step to step answer
(2.7×10^-3) ÷ (9×10^7)
Answer:
243,000
Step-by-step explanation:
(2.7×10^-3) ÷ (9×10^7) | Given (thanks for proper formatting :')
(2.7 × 0.001) ÷ (9 × 10,000,000) | Start with exponents
0.0027 ÷ 90,000,000 | Multiply what's in the parenthesis
243,000 | Divide these numbers