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
Learn about complex numbers at: https://brainly.com/question/10662770
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3 over 7 = blank over 35
Answer:
15/35
Step-by-step explanation:
7 x ? =35
7 x 5 =35
whatever you do to the bottom , you do to top so you times 3 by 5.
3 times 5 = 15, therefore, it is 15/35
Answer:
15 over 35
Step-by-step explanation:
35/7 = 5
5*3 = 15
then:
3/7 = 15/35
if a 280g with 32 pieces chocolate bar contains 20% of fat. How much fat is in 4 pieces?
Answer:
0.8%
Step-by-step explanation:
4*20%=4*(1/5)=4/5=0.8%
The perimeter of a triangle is 65 cm. The
lengths of the sides are x cm, x+8 cm, and
X+ 12 cm.
What is the length, in cm, of the longest side of
the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The longest side measures :
[tex]27\: \: cm[/tex][tex] \large \boxed{ \mathfrak{Explanation}}[/tex]
Perimeter of a triangle is equal to sum of measures of its all three sides, that is :
[tex]x + x + 8 + x + 12[/tex]and according to the question, the perimeter of the triangle is = 65 cm
so, let's equate both the expressions to find value of x :
[tex]x + x + 8 + x + 12 = 65[/tex][tex]3x + 20 = 65[/tex][tex]3x = 65 - 20[/tex][tex]3x = 45[/tex][tex]x = 45 \div 3[/tex][tex]x = 15[/tex]The longest side of the Triangle is :
[tex]x + 12[/tex][tex]15 + 12[/tex][tex]27 \: \: cm[/tex]27cm
Step-by-step explanation:
(xcm) + (x+8cm) + ( x+ 12cm) = 65cm
Open Bracket
xcm + x+8cm + x+12cm = 65cm
3x+ 20cm = 65cm
Collect like terms
3x = 65cm - 20cm
3x = 45cm
Divide both sides by 3
3x/3 = 45cm/3
x = 15cm
The longest side of the triangle =( x+12cm)
= (15+12)cm= 27cm
A tablespoon is equivalent to about 4 teaspoons. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon vanilla. What is the unit rate in tablespoons
per cup?
Answer:
I understand the exercise is about unit rates, but why go out of the way to state false information? A tablespoon is exactly 3 teaspoons!
Anyway,
(1/2 tsp)/(2/3 cup) * (1tbsp)/(4tsp) = 1/2 * 3/2 * 1/4 = 3/16 tbsp/cup
Step-by-step explanation:
Ok
Explain how you can use mental math to
calculate 2^8.
Answer:
think about what 2 times 8 equals
Step-by-step explanation:
Can someone please help me with this I really need help.
Answer:
The angle mPQO is 86°
Step-by-step explanation:
123°-37°
A 5-pound bag of dog food costs $11.25. What is the unit price of the dog food in dollars per pound?
Answer:
$2.25
Step-by-step explanation:
5 lbs = $11.25
The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:
$11.25 ÷ 5 = $2.25
Hope this helps!
Answer:
2.25 ($) per pound
Step-by-step explanation: 11.25 / 5 = 2.25 per pound Alternative workings we simply divide by 10 to find 11.25 / 10 = 1.125 then multiply by 2 1.125 * 2 = 2.25 ($) per pound
Write the equation of the graph below in slope intercept form.
(2,0) and (0,-3)
Step by step
Answer:
y2- y1 over
x2 -x2
[tex] - 3 - 0 = - 3[/tex]
[tex]0 - 2 = - 2[/tex]
Step-by-step explanation:
slope is m =
[tex]m = - \frac{3}{2} [/tex]
use the -3 for b and you get
[tex]y = - \frac{3}{2} x - 3[/tex]
slope intercept form
If 2x -3y = 3 then find 16x 64y =?
Answer:
0 is the answer on 16 x 64y
Answer:
1 x = 4 y= 2/3 = 1. 66667 see attached and join the lines to create shaded area.
Step-by-step explanation:
2x -3y = 3
16x (64y) = ?
we can multiply the 2x by 8 to find x = 16 and -3y = -24y and 3 = 24
as shown 2nd one.
16x + (64y) = c
16x -24y = 24 = 64y - 24y = c
40y = c - 24
40y/24 = y
1.66667 = y
y = 1.6667 or 1 2/3
2x -3 ( 1 2/3 ) = 3
2x - 5 = 3
2x = 8
x = 4
y = 1. 66657
Which equation in standard form has a graph that passes through the point (-2, 6) and has a slope of !.A. 3x — 2y = 12 B. 3x — 2y = 6 C. 3x — 2y = -18 D. 3x — 2y = 18
Answer:
Your answer should be C
Step-by-step explanation:
Answer:
3x - 2y = -18
Step-by-step explanation:
3x - 2y = -18 and (-2, 6)
(3)(-2) - (2)(6) = -6 - 12 = -18
Select from the drop-down menus to correctly complete the statements about simplifying an expression with grouping symbols. When an expression has more than one set of grouping symbols, simplify within the Choose... grouping symbols first. The Choose... symbol can also be a grouping symbol. Simplify the Choose... separately. Choose... follow the order of operations within a set of grouping symbols.
Answer:
nuber 1 is sum 2 is quotient 3 is produckproduct
Step-by-step explanation:
number 1 is sum, 2 is quotient , 3 is product.
What is set?A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.
here, we have,
an expression with grouping symbols.
When an expression has more than one set of grouping symbols,
So, the answer is,
number 1 is sum, 2 is quotient , 3 is product.
To learn more on set click:
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Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
[tex]x = 2\sqrt{55}[/tex]
Step-by-step explanation:
Given the values for the leg and hypotenuse:
a (leg) = 6 cm
c (hypotenuse) = 16 cm
Use the Pythagorean Theorem to find the value of the other leg, x:
[tex]x = \sqrt{c^{2} - a^{2} }[/tex]
[tex]x = \sqrt{16^{2} - 6^{2} }[/tex]
[tex]x = 2\sqrt{55}[/tex]
Answer:
Your answer is [tex]\sqrt{220}[/tex] or 14.8323969...
Step-by-step explanation:
[tex]A^{2} +B^{2} =C^{2} \\x^{2} + 6^{2} =16^{2}[/tex]
[tex]x^{2} =16^{2} -6^{2} \\[/tex]
[tex]x^{2}[/tex] = 256 - 36
x = [tex]\sqrt{220}[/tex]
May u give all the answers to these? please and thank you! <3
---------------------------------------------------------------------
Write an equation for the statement
(this applies for all of them <3)
1. The product of nineteen and a number x is seven
2. The sum of a number x and negative thirty is two
3. A number x divided by negative twenty-seven is eight
4. Twelve less than a number x is five
5. One-third of a number x is three
Answer:
1. 19 (x) = 7
2. -32 + x = 2
3. x ÷ -27 = 8
4. x - 12 = 5
5. 1/3 (x) = 3
Step-by-step explanation:
:)
What the answer?????
Okay,
So this equation is non existent. It is not an equation nor expression.
Key Info:
x - variable
0.256 - decimal
10.3 - decimal
Hope this helps.
Add more information to your answers. ( GIVE CONTEXT )
Find the slope of the line that contains the points (2,5) and (4,8).
Answer: Slope = 3/2 or 1.5
Answer: y= 1.5 x+2 or y=3/2x+2
Step-by-step explanation:Slope (m) =
ΔY
ΔX
=
3
2
= 1.5
θ =
arctan( ΔY )
ΔX
= 56.30993247402°
ΔX = 4 – 2 = 2
ΔY = 8 – 5 = 3
Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464
y = 1.5x + 2
or
y =
3 x
2
+ 2
When x=0, y = 2
When y=0, x = -1.3333333333333
which company offers the best deal?why?
Answer:
where question？
Step-by-step explanation:
i dont know the question it cant be solve
Answer:
I don't see the question. it cannot be solved
Which of these is a healthy coping strategy for stress?
A
Writing your thoughts in a journal
B
Not sharing your emotions with anyone
C
Stopping your exercise routine
D
Working very hard without breaks
Answer:
A
writing your thoughts in journal
Lamar made $110 for 5 hours of work.
At the same rate, how much would he make for 12 hours of work?
Answer:
264
Step-by-step explanation:
to find one hour
110÷5=22 per hour
12×22=264
Answer: Lamar would make $264 in 12 hours of work.
First we would try to find how much he would make in an hour, so technically the unit rate.
TO find the unit rate we have to do 110/5 which is equal to $22
Then we know that Lamar is working for 12 hours and that he makes $22 per hour. SO, 12 times 22 is 264.
Step-by-step explanation:
I hope this helps, if you are having a tough time with math you can use:
khan academy
math nation
and many more free sites!
Pls help. Thank you!
Answer:
x = 15
Step-by-step explanation:
Here's an easy way to solve this:
OAP appears to be a right isosceles triangle. Angle O is a right angle, so the other angles are congruent (the same).
180-90 = 90
90÷2 = 45
3x = 45
x = 15
10 ft 8 ft 6 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate n. A = [ ? ] ft?
Answer:
l×b×h-this is the order
10×8
=80 --area 1:maximum
10×6= 60--area2: minimum area
8×6=48--area3:middle area
if you follow the order
the answer is= 60ft
The difference of twice a number and three is
Answer:
2
Step-by-step explanation:
given the difference of twice a number and one is three to find "number" let the number be x
2x - 1 =3
2x = 4
x= 2
thus the number is 2
Solve using order of operations: 72/8+6/3-4(10)
Answer:
the answer is -29
Step-by-step explanation:
Help me with math please
(-3^3+2 · -2^2)^2-4^4
(-27+2 · -4)^2-4^4
(-27+(-8))^2-4^4
-35^2-4^4
1225-256
969
Mike´s fitness center charges $30 per month for a membership. All-Day fitness club charges $22 per month plus an $80 initiation fee for a membership. After how many months will the total amount paid to the two fitness clubs be the same?
Answer:
10 months
Step-by-step explanation:
30x=22x+80
8x=80
x=10
Is the triangle isosceles, equilateral, or
neither?
70°
55°
55°
A. isosceles
B. equilateral
C. neither
Answer:
It is isosceles triangle because its base angles are equal .
plz mark me brainest
Answer: A. isosceles
Step-by-step explanation:
an isosceles triangle is a triangle that has two sides of equal length.
You can read about isosceles triangle more : https://en.wikipedia.org/wiki/Isosceles_triangle
please give me a brainliest answer
What is the equation of the line that passes through the point (-6, -7) and has a slope of 0
Answer:
x = - 6
Step-by-step explanation:
A line with a slope of zero is a horizontal line parallel to the x- axis with equation
x = c ( where c is the value of the x- coordinates the line passes through )
The line passes through (- 6, - 7 ) with x- coordinate - 6 , then
x = - 6 ← equation of line
I need help with this question:
Answer:
a) #4 vertical angles are congruent
b) # 1 ∠3 ≅ ∠7
c) # 6 Transitive property
Step-by-step explanation:
a. Vertical angles - opposite angles that are equal.
b. corresponding angles - in the same place but on different parallel lines
and are equal.
c. a = b, b = c so a = c
help me pleaseeeeeeeee
Answer:
Open your dictionary, Find the word you are looking for and reread the Sentence and find the right definition that BEST fits the Sentence
Thank me Later :D
Step-by-step explanation:
if a/b= (3/7)2 ÷ (9/7)0, then find the value of (b/a)2?
pls answer fast
[tex]\\ \sf\longmapsto (3/7)2\div (9/7)0[/tex]
Anything multiplied with 0 gives 0[tex]\\ \sf\longmapsto (3/7)2\div 0[/tex]
[tex]\\ \sf\longmapsto \infty[/tex]
Now
[tex]\\ \sf\longmapsto \dfrac{b}{a}=\dfrac{1}{\infty}=0[/tex]
[tex]\\ \sf\longmapsto (\dfrac{b}{a})^2=0^2=0[/tex]
