========================================================
Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
i^0 = 1i^1 = ii^2 = -1i^3 = i*i^2 = i*(-1) = -ii^4 = (i^2)^2 = (-1)^2 = 1By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
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Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
-i is the final answer--------------
Side notes:
if i^a = i^b, then a-b is a multiple of 4Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.Select the correct expression
r less than 52
Answer:
no because r is a varible that dont have number
The correct expression of r less than 52 is r<52.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is r less than 52
We have to write in the form of inequality
A relationship between two expressions or values that are not equal to each other is called 'inequality.
The less than represents the relationship between r and 52
In the given expression r is the variable
r<52 is the required expression or inequality
Hence, the correct expression of r less than 52 is r<52.
To learn more on Expressions click:
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I really need help with this, and also if it's Substitution or linear combination and it will be really helpful if you do step by step please.
Answer:
-2x+y=12
Step-by-step explanation:
linear equation
wahts the gcf and lcm of 18 and 30
Match the example on the left with the corresponding property on the right.
3(x - 2) = 3x - 6
Commutative
3+ (4 + 5) = (3 + 4) + 5
Associative
- 4x - 8 = – 2(2x + 4)
Distributive
4.5.6=6.4.5
(2.3). 7 = 2 · (37)
3(x - 2) = 3x - 6 ---> Distributive
3+ (4 + 5) = (3 + 4) + 5 ---> Associative
- 4x - 8 = – 2(2x + 4) ---> Distributive
4.5.6=6.4.5 ---> Commutative
(2.3). 7 = 2 · (37) ---> Associative
Choose the statement that is true. WILL MARK BRAINLIEST
A.) For a normal distribution, 68% of the distribution is within 3 standard deviations.
B.) For a normal distribution, 95% of the distribution is within 3 standard deviations.
C.) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
D.) For a normal distribution, 100% of the distribution is within 3 standard deviations.
Answer:
option A is correct
hope it helps :)
Step-by-step explanation:
The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
Therefore, looking at the options, the true statement id
A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.
If Ambrea deposits $4000 in the bank and there is a 3% interest rate, how long will it take her to save $7000
Answer:
I believe the answer is 25 years
Step-by-step explanation:
3% of 4000 is 120
3000 divided by 120 is 25
Answer:
25 years
Step-by-step explanation:
So you have $4000, with a rate of 3% interest.
You want to see how long it takes to save up to $7000.
Do,
3% of $4000 is $120.
It takes a year to get a interest.
And you need $3000 dollars.
Now do 3000 ÷ 120.
You get 25.
Which value of x makes the equation 2(x-9)-2x=-3(3+7) true?
Answer:
No solution
Step-by-step explanation:
Help!! And stop with the links!!!!!
Answer:
3, 5, 2, 1, 4
Step-by-step explanation:
In step 2, parentheses are eliminated: distributive property.
In step 3, x is subtracted: subtraction property.
In step 4, 12 is added: addition property.
In step 5, the equation is divided by 17: division property.
__
The properties are listed in the order of statements ...
3, 5, 2, 1, 4
help! ignore pencil work! any comment with a link or answer that dosnt relate or i found out later that thats the wrong answer will be deleted! PLEASE SHOW WORK
Answer: x = 13, Angle ABE = 51°
Step-by-step explanation:
Since angle ABC is 90° and angle EBC is 39°, subtract them.
90° - 39° = 51°
This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).
51 = 3 (x + 4)
Multiply 3 by x and 4.
51 = 3x + 12
Subtract both sides by 12.
39 = 3x
Divide both sides by 3.
x = 13
Find the value of x to the nearest tenth. Show all
the work
Answer:
x is 15.0
Step-by-step explanation:
We can use pythagorus theorum to find the missing side of the triangle.
a² = b² + c²
a² is the longest side of the triangle, so a= 8.
b² (or you can even take c²) is one of the two sides, so b= 3
We have to find c². So make c² the subject of the equation.
c² = a² - b²
c² = 8² - 3²
c² = 64 - 8
c² = 56
∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)
Now we can assume that c is half of x.
So x = 7.48 + 7.48 = 14.96
∴ x = 15.0 (to the nearest tenth).
At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?
Answer:
2:3
Step-by-step explanation:
Simply divide each by 10
20/10=2
30/10=3
and your ratio is 2:3
If you subtract 17 from my number and multiply the difference by -2, the result is -10." What is the number?
Answer:
22
Step-by-step explanation:
-10/-2 is 5
5+17 is 22
Pls help me it’s due at 12:00
Step-by-step explanation:
# easy learning
good luck and god Blees
How to solve for x using the equation: 12 = -4 (- 6x - 3)
help with this problem pls
Answer:6_1/4
Step-by-step explanation:
They are different by a multiple of 3, for example, 3_1/4 * 3 = 9_3/4, etc.
This means that you just have to divide 18_3/4 bu 3, which is 6_1/4
solutions of the quadratic $x^2 + 7x - 18 = 0.$
The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
x² + 7x - 18 = 0
Factorize the quadratic equation, then we have
x² + 7x - 18 = 0
x² + 9x - 2x - 18 = 0
x(x + 9) - 2(x - 9) = 0
(x + 9)(x - 2) = 0
x = 2, -9
The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.
More about the solution of the equation link is given below.
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elise gets a free tax allowance of $6000 and pays tax at 25% on the next $20 000. she pays tax at a raye of 30% on the rest. if she earns $72 000per year, how much must she pay?
Answer:
c
Step-by-step explanation:
i know because im not g.a.y like u guys
What temperature does the thermometer show?
Answer:
-2°C is the answer
Step-by-step explanation:
Hope this helps:)
I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
Answer:
the answer to the riddle is black bear
Step-by-step explanation:
hope it helps can I have brain for trying? :))) bless u have a great day/evening
Answer:
the other guy is right it's black bear bears love honey and only one bear is black and thats the black bear
Step-by-step explanation:
Tell whether the ordered pair is a solution to the equation please show how you solve it.
(3,2); x+6y = 13
Answer:
The ordered pair is not a solution as both sides of the equation do not equal each other.
Step-by-step explanation:
(3,2); x + 6y = 13
(3) + 6(2) = 13
3 + 12 = 13
15 = 13
3x - y = 23
2x + 3y = 8
Answer: x = 11
Step-by-step explanation:
You didn't state what you needed for these problems so I'm going to assume you need to solve for X.
1st Equation:
3x - y = 23 --> y = 3x - 23
2nd Equation:
2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3
Set Equations = to Each other
3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23
9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3
7x/3 X 3/7 = 77/3 X 3/7
x = 11
If you need to solve for y as well plug the x value back into the original equation and solve.
IF ANYONE CAN ANSWER THESE 2 QUESTIONS I WILL GIVE YOU BRAINLIEST AND LOVE YOU FOREVER. SERIOUSLY, ILL NEVER FORGET U <3
Answer:
3. 314 student and 226 adult
4. x = 6.5, y = -0.5
Step-by-step explanation:
3. First we will take our information and make a system of equations:
[tex]2.4a+1.25s=934.9[/tex]
[tex]a+s=540[/tex]
[tex]a[/tex] is the number of adult tickets sold and [tex]s[/tex] is the number of student tickets sold.
From the second equation we can rearange it to be:
[tex]a=540-s[/tex]
Then we can plug in our new value of [tex]a[/tex] to our first equation
[tex]2.4(540-s)+1.25s=934.9[/tex]
[tex]1296-2.4s+1.25s=934.9[/tex]
[tex]1.15s=361.1[/tex]
[tex]s=314[/tex]
We can then find [tex]a[/tex] by plugging in s to our second equation
[tex]a+314=540[/tex]
[tex]a=226[/tex]
4. It is mostly solved already. We can take the value of y from the first equation and plug it into the second to get:
[tex]3x -5(-5x+32)=22[/tex]
[tex]3x+25x-160=22[/tex]
[tex]28x=182[/tex]
[tex]x=6.5[/tex]
Then plug our value of x into the first equation to get:
[tex]3(6.5)-5y=22[/tex]
[tex]19.5-5y=22[/tex]
[tex]5y=-2.5[/tex]
[tex]y=-0.5[/tex]
Write the inequality that represents the solution set to the given inequality below.
−8≥x−2≥10
Group of answer choices
4≤x≤−5
−4≤x≤5
4≥x≥−5
−4≥x≥5
Answer:
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
Step-by-step explanation:
I can't match it to one of your solutions but I can explain this:
-8[tex]\geq[/tex]x-2[tex]\geq[/tex]10
We can add 2 to each side to eliminate the -2 in the centre.
-6[tex]\geq[/tex]x[tex]\geq[/tex]12
Use the diagram to answer the question that follows.
What is the image of C under the translation described by the translation rule (x, y) + (x +4,
y - 10)?
D
B
E
A
Answer:
B
Step-by-step explanation:
So we are at C:
We need to find the dilation:
First we add 4 to x (meaning we move the point C 4 points to the right)
Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)
This will give you your point:
Which is B
Hope this helps!
Javi Used to ride his bike 1.65 miles to school his family recently moved and now he only has to ride his bike 1.25 miles to school what is the percent decrease in the distance that javi has to ride to school round to the nearest tenth.
Answer:
24.2% decrease
Step-by-step explanation:
The distance Javi must ride changed by ...
1.25 -1.65 = -0.40 . . . miles
The ratio of that to the original distance is ...
-0.40/1.65 × 100% ≈ -24.2%
The distance decreased by 24.2%.
there are 6 cups of sugar in 5 batches of cookies. how many cups are in 1 batch
Answer:
1.2 cups
Step-by-step explanation:
6 cups / 5 batches = 1.2 cups/batch
What are the factors of the trinomial 3x^2 + 16x + 5? Show your work analytically
Answer:
3x+1 and x+5 are the factors
Step-by-step explanation:
Here's the slide-and-divide method to find the factors:
[tex]3x^2+16x+5[/tex]
[tex]\frac{3x^2}{3}+16x+5(3)[/tex]
[tex]x^2+16x+15[/tex]
[tex](x+1)(x+15)[/tex]
[tex](3*x+1)(x+\frac{15}{3})[/tex]
[tex](3x+1)(x+5)[/tex]
y=2x + 4
y = 2(x + 2)
what is x
Answer:
I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well
Step-by-step explanation:
1.)
y=2x+4
-subtract 4 on both sides-
y-4=2x
-divide 2 on both sides-
x=y-4/2
2.)
y=2(x+2)
-distribute the 2-
y=2x+2
-subtract 2 on both sides-
y-2=2x
-divide 2 on both sides-
x=y-2/4
I dont know exactly if this is correct, but i hope it helps! :)
Help bell math math math
Answer:
54
Step-by-step explanation:
C=πd
π=3
d=18
C=3×18
Therefore C=54
Answer:
c=54
Step-by-step explanation:
What has a slope of -1/2 and an x intercept of -8
Answer:
y=(-1/2)(x)-8
Step-by-step explanation:
Since they give the slope and y intercept, you can literally plug it into the equation:
y=mx+b
where m is slope and b is y interecept.
Therefore, we get
y=(-1/2)(x)-8