Use the example as a model. Simplify the expressions.
t^37 = ✔ i
t^82 = ✔ –1
Answer:
After , the sequence repeats itself
Divide 37/4 = 9 R 1. Now use the remainder and find which one of the values of i it matches.
so
Step-by-step explanation:
The expressions are simplified as;
i. t = ∛i
ii. t = 1
How to simply the expressionsFrom the information given, we have that;
Simplifying [tex]t^3^7[/tex] = √i
When [tex]t^3^7[/tex]equals i (the imaginary unit), we can solve for "t" by taking the 37th root of both sides:
[tex]t^3^7 = i[/tex]
[tex]t = \sqrt[3]{i^3^7}[/tex]
[tex]t = i^(^3^7^/^3^)[/tex]
Since i^4 = 1 (i raised to the power of 4 is 1), we can simplify the exponent:
[tex]t = i^(^1^2 ^+ ^1^/^3^)[/tex]
[tex]t = i^1^2 ^* i^(^1^/^3^)[/tex]
Now, since[tex]i^1^2[/tex] = 1 and [tex]i^(^1^/^3^)[/tex] represents the cube root of i, we have:
t = 1 * ∛i
t = ∛i
Simplifying [tex]t^8^2[/tex] = √ –1:
Take the 82nd root of -1
[tex]t^8^2 = -1[/tex]
t = [tex]\sqrt{(-1)^8^2}[/tex]
t = √1
t = 1
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A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
1. 3/5
2. 3/7
3. 7/12
4. 7/20
Answer:
15/25 which simplifies to 3/5 which is the first answer
Step-by-step explanation:
Please help!!
Answers:
A)Triangle HGF is congruent to triangle FEH.
B) Triangle GFH is congruent to EFH
C) Angle KHE is congruent to angle KHG
D)Angle GHK is congruent to angle EFK
E)Segment EH is congruent to segment GH
F)Segment HG is congruent to FE
G)Segment FH is congruent to segment HF
Answer:
I guess HEF is congruent to GFH
But it's just guess I'm not confirm
Answer:
A.
Step-by-step explanation:
the triangle HGF is congruent to traingle FEH
can someone help me with these:2: 302×10^-8. 3:6.8×10^3 . 4 : 9.1×10^-7. 5: 2.3 ×10^4 please need this by 12:10 pm
Answer:
Here are your answers!
302×10^-8 = 0.00000302
6.8×10^3 = 6800
9.1×10^-7 = 9.1e-7 OR 0.00000091
2.3 ×10^4 = 23000
Step-by-step explanation:
It looks like these are all questions that require you to move the decimal point. I suggest Following PEMDAS and doing the exponents first. Then counting the number of 0's in the simplified number and moving the decimal that many places. If the answer after solving the exponent is negative move to the left, if it is positive move to the right.
answer this pleaseeeeee ill give brainliest What is an equation of the line that passes through the points (-6, 3) and (-5, 2)?
Answer:
y-3=-1(x+6)
Step-by-step explanation:
I gotchu
brainliest tho?
Please help! I need help T-T
Answer:
$130.00
Step-by-step explanation:
674-284=390
390/3=130
what that person said :(
How many solutions does this nonlinear system of equations have?
A. 1
B. 4
C. 0
D. 2
Answer:
A
Step-by-step explanation:
Answer:
its 2
Step-by-step explanation:
Proportional quantities are always in the same _______________.
Answer:
unit
Step-by-step explanation:
proportion are always in same unit
e.g 100m/50m = 1m/2m
What is the value of 5+6−32(8÷14)?
Answer:
-7.3
Step-by-step explanation:
Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. How many hours would it take to complete the order with twice the number of working machines?
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
HERE IS YOUR ANSWER MATE
HAVE A GREAT DAY AHEAD
LOVE FROM INDIA
In a movie theater, the first row contains 3 seats, the second row contains 6 seats, the third row contains 9 seats, and the fourth row contains 12 seats.
A.) Write explicit rule for sequence
B.) Write recursive rule for sequence.
Answer:It's an arithmetic sequence with a common difference, d, = 4
A1 = 8
A2 = 8+4 = 12
A3 = 12+4 = 16 = 8+4(3-1) = 8+4(2) = 8+8
AN = A1 + d(N-1)
AN = 8 +4(N-1) = the Nth term in the sequence
Step-by-step explanation: hoped it helped
Classify each triangle by its angles and sides.
ABE
BEC
DEF
CDF
Answer:
scalene right
isosceles obtuse
equilateral equilateral
scalene acute
Solve for x.
(x÷2)+6=50
x = 22
x = 28
x = 38
x = 88
The answer is x = 88
equivalent equation to 3/50-x/50=7/50
Answer:
x=-4
Step-by-step explanation:
Multiply both sides by 50 and you get
3-x =7,
so x= -4
please help me with this
Answer:
Okay the answer is
Answer:
3+(4+5) - (3+4)+5
7 . (2 . 5) - (7 . 2) . 5
5 . 9 - 9 . 5
3+4 - 4+3
The Dot's mean multiplication
Step-by-step explanation:
Round 11.036568047 to 4 decimal places.
Answer:
11.0366
Step-by-step explanation:
Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366
Hope this helps!
The number is rounded up to 11.0366.
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on...
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..
Thus, The tens means multiply by 10
Thus, The tenth means tenth part of that digit which is that digit divided by 10
If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:
11.03656 -
6 is higher than 5 so, the number is rounded up to 11.0366.
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A rental car agency charges $240 per week plus 0.25 per miles to my car how many miles can you travel in one week for 432.50
! ! ! Angles ! ! !
(worth ten points)
~
Javier wants to prove that triangle MNP is similar to triangle RSP.
What missing piece of information does Javier need to prove that the triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate?
~
A.) Javier needs to know the measure of angle P.
B.) Javier needs to know the measure of angle M.
C.) Javier needs to know the measure of angle S.
D.) Javier needs to know that segment MN is parallel to segment SR.
~
Answer:
its a
Step-by-step explanation:
:)
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train
travels at 85 miles per hour. How long will it take for the two trains to be 432 miles apart?
Do not do any rounding.
Find the unit rate: 6 children from 2 families.
Answer: For every 1 family there is 3 children.
Step-by-step explanation:
Alex made 135 out of 540 cookies for the bake sale. What percent of cookies did Alex make for the bake sale?
A. 40%
B. 30%
C. 25%
D. 50%
Answer:
c) 25%
Step-by-step explanation:
135÷540=0.25
so 25%
GUYSSS PLSSS HELP ME WITH THIS QUESTION :))
Answer:
17
Step-by-step explanation:
1) if to solve the first inequation, tnen 3x<52; ⇔ x<52/3;
2) if to solve the seconde inequation, then 2x≥24; ⇔ x≥12.
3) according to the items 1 and 2 x∈[12;52/3);
4) the largest prime number is 17.
The points (18,21) and (42,49) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.
Answer: 5/2
Step-by-step explanation: 49 - 42/ 21 - 18
Mmmmm help HELPPPPP,,,,,,
Answer:
I guess it's 63degrees
I hope it will help
[tex]a\sqrt{a} +2a + \sqrt{a} +2\\[/tex]
Step-by-step explanation:
= [tex](a\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]
= [tex]a(\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]
= [tex](a+1)(\sqrt{a} +2)[/tex]
please give me a brainliest answer
Which number is less than 8/3
Answer:
A I belive
Step-by-step explanation:
Just divide the top number with the bottom
Look!! I need the answer asap, please!
[tex]\bf x+38=-25[/tex]
Answer:
-63Step-by-step explanation:
= > x + 38 = - 25 = > x = - 25 - 38 = > x = - 63...ansHOPE IT HELPS YOU!!!!Answer:
-63 that should help
Step-by-step explanation:
guys pls help me!!!!!!!
x=159⁰c (vertically opposite angles)
Please mark BRAINLIEST.
Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon’s age and represents Laura’s age, what value of j could be Jon’s age?
Answer:
35
Step-by-step explanation:
The factors chosen are 35 and 38 which multiplied = 1330(the product) Laura is 3 years older than jon so she is 38 and Jon is 35.
Anna challenges Sarah to a game where Sarah flips a fair coin and then randomly chooses a card from a small deck of cards that includes only 111 jack, 111 queen, 111 king, and 111 ace.The only way Sarah can win is by flipping heads and then choosing either the jack or the queen.If XXX is a random variable that represents Sarah's outcome, drag the bars to graph the probability distribution for all possible values of XXX.
The probability distribution for all possible values of X are given in the discrete probability table ;
X : ____ winning ____ not winning P(X) : ____ 0.25 ________ 0.75Fair coin = {H, T}
card = {J, Q, K, A}
Sample space :
__ H ___ TJ | HJ __ TJQ| HQ __TQK| HK __ TKA| HA __ TATotal possible outcomes = sample space = 8 Winning selection = {HJ, HQ}Probability of winning ; P(Winning) = 2/8 = 1/4 = 0.25
Probability of not winning ;
1 - P(wininng) = 1 - 1/4 = 3/4 = 0.75
X : ____ winning ____ not winning
P(X) : ____ 0.25 ________ 0.75
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