Answers
Answer:
[tex]8i^{22}[/tex] - 1
Explanation:
It's actually quite easy to tell which simplifies to a real number without working out the problem.
[tex]i^{2}[/tex] = -1
Any imaginary number with an even exponent is simplified to a real number. If it has an odd exponent, it cannot be simplified to a real number.
Some tips for fully solving the expression:
If the exponent is divisible by 4, then don't change the sign of the coefficient. You're just multiplying it by 1 because [tex]i^{4}[/tex] = [tex](i^{2})^{2}[/tex] = [tex](-1)^{2}[/tex] = 1
If the exponent is divisible by 2, change the sign of the coefficient because you're multiplying it by -1.
Related Questions
NEED HELP!!
Which is a valid proportion?
Answers
Which of the following equations has a graph with a y-intercept of -8?
Ay=3x - 8
B. y = -8x + 3
C. 3x - 8y = -5
D. -8x + 3y = -5
Answers
The equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8
To determine which of the given equations has a graph with a y-intercept of -8.
We will compare the equations with the slope-intercept form of the equation of a straight line.
The slope-intercept form of the equation of a straight line is
y = mx + c
Where m is the gradient or slope
and c is the y-intercept
For A. y =3x - 8By comparing with y = mx + c
m = 3 and c = -8
∴ The y-intercept here is -8
For B. y = -8x + 3By comparing with y = mx + c
m = -8 and c = 3
∴ The y-intercept here is 3
For C. 3x - 8y = -5This can be written as
y = (3/8)x + 5/8
By comparing with y = mx + c
m = 3/8 and c = 5/8
∴ The y-intercept here is 5/8
D. -8x + 3y = -5This can be written as
y = (8/3)x - 5/3
By comparing with y = mx + c
m = 8/3 and c = - 5/3
∴ The y-intercept here is -5/3
Hence, the equation that has a graph with a y-intercept of -8 is y =3x - 8. The correct option is A. y =3x - 8
Learn more here:https://brainly.com/question/1280589
If the translation of (x,y)->(x-5, y+2) was applied to the triangle ABC below, what would be the coordinates for A' after the translation?
Answers
Answer:
(-3,0)
Step-by-step explanation:
When translating, anything positive when talking about x would move x to the right. Negative, left, so you would move point a 3 units to the left.
When translating, anything positive when talking about y would move y up. Negative, down, so you would move point a 2 units up.
S, U, N are collinear. Select the point that satisfies the definition of betweenness if NU + US = NS.
Answers
The order S, U, N shows U is in the middle. We can read this in reverse to get N, U, S.
Notice how the letter "U"s are adjacent in NU and US to get NU+US.
Describe what shape and axis of rotation are
required to generate a: Cone, Cylinder and sphere?
Answers
When the two bases are exactly over each other and the axis is a right angles to the base, this is a called a 'right cylinder'. Rectangles can be rotated to make cylinders.
A sphere is created when a circle is rotated in space about one of its diameters. A sphere is the set of all points in space that are a given distance (radius) from a given point (center). The intersection of a plane through the center of a sphere is known as a great circle. figure below.
round 9.69 to the nearest whole number
Answers
Rounding 9.69 to the nearest whole number gives us 10.
Given that we need to round the decimal number 9.69 to the nearest whole number,
To round 9.69 to the nearest whole number, we look at the decimal part of the number, which is 0.69.
Since the decimal part is greater than or equal to 0.5, we round the whole number up to the next higher number. In this case, 9.69 is closer to 10 than to 9, so we round it up to 10.
Therefore, rounding 9.69 to the nearest whole number gives us 10.
Learn more about Rounding Numbers click;
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NEED HELP ASAP!!!! find the value of y, given that m< KLM = 134 degrees
Answers
Answer:
y=5.44
Step-by-step explanation:
47+16y=134 subtract 47 from both sides
16y=87
y=5.44
What is the simplified form of (2b2 – 6) + (4b + 7) – (b2 + 5b – 3)?
Answers
Answer:
b2−b+4
Step-by-step explanation:
Write the problem as a mathematical expression.
(2b2−6)+(4b+7)−(b2+5b−3)(2b2-6)+(4b+7)-(b2+5b-3)
Remove parentheses.
2b2−6+4b+7−(b2+5b−3)2b2-6+4b+7-(b2+5b-3)
Simplify each term.
2b2−6+4b+7−b2−5b+32b2-6+4b+7-b2-5b+3
Simplify by adding terms.
b2−b+4
How do you figure this equation out?
4r + 7 = 35
Answers
Answer:
r = 7
Step-by-step explanation:
Step 1: Write out equation
4r + 7 = 35
Step 2: Subtract 7 on both sides
4r + 7 - 7 = 35 - 7
4r = 28
Step 3: Divide both sides by 4
4r/4 = 28/4
r = 7
Solve 4r+7=35
4r=35-7
4r=28
r=7
:)
Round 4,368 to the nearest ten.
Answers
Answer:
4370
Step-by-step explanation:
Answer:
4,370.0
Step-by-step explanation:
Which inequality is shown in the graph?
Answers
hope this helps!
A boat traveled 70 miles in 5 hours.how far did the boat travel in one hour
Answers
Answer: 14 miles
Step-by-step explanation:
70/5 = 14
what is the primed factored root for 12
Answers
Answer:
122 = 144
or
√12 = 3.464
I would seriously appreciate if u helped me TvT
Answers
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
So we have the equation:
[tex]5+(x-2)=-8[/tex]
Let's subtract 5 from both sides:
[tex](5+(x-2))-5=(-8)-5[/tex]
The left side will cancel. Subtract on the right:
[tex]x-2=-13[/tex]
Now, add 2 to both sides:
[tex](x-2)+2=(-13)+2[/tex]
Again, the left side will cancel. Add the right:
[tex]x=-11[/tex]
And we're done!
Answer:
it should be x=5
Step-by-step explanation:
5+(x-2)= -8
3+x=8
-3 -3
answer is x=5
Enter the value 15+(-29)-15-29
Answers
Answer:
-58
Step-by-step explanation:
Answer:-58
Step-by-step explanation:
What is the difference between the absolute value of -8 and the absolute value of 6?
O 2
O 8
O 14
0.16
Answers
Answer:
2
Step-by-step explanation:
Since the absolute value of -8 is 8, and the absolute value os 6 is 6, we can
do 8-6=2.
June charges $27.95 per oil change and $9.50 per tune up each week he does 40 oil changes and 15 tune ups . how much money did June make in a week?
Answers
Idk how to do this. Please help?
Answers
Answer:
Is that algebra??
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
1. Distance = √((√5)^2 + (-1)^2)
= √(5 + 1)
= √6.
2. √(1^1 + (-2)^2)
= √5.
3. √(4^2 + 3^2)
= √(16 + 9)
= √25
= 5.
4. √(6)^2 + (-8)^2)
= √(36 + 64)
= √100
= 10.
(-5)+(+7)=( ____) ???
Answers
Answer: 2
Step-by-step explanation:
What is the domain of the absolute value f(x) equals -.5 |X -2|-4
Answers
Answer:
Domain: All Real Numbers or (-∞, ∞)
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that any value of x can be plugged into the function.
∴ Our answer is all real numbers
I NEED HELP 11POINTS
Casey has a small business making and selling dessert baskets. She estimates that her
fixed weekly costs to bake the items is $100. She sells each dessert basket for $12.
How much would her monthly profit be for x amount of dessert baskets?
Answers
Answer:
500=2.5x+200
x=the amount of desserts.
500-200=2.5x
300=2.5x
x=120
Step-by-step explanation:
please help i need this answear asap
Answers
Answer:
19/15
Step-by-step explanation:
1 2/3=5/3
So 5/3 - 2/5 ( + - is -)
Making the denominator equal we get
(25-6)/15=19/15
2x+4 translation 7 units left
Answers
Answer: (-5,4)
Step-by-step explanation:
I’m not quite good at explaining but I think my answer might be right not sure
Answer:
(2x+7)+4
Step-by-step explanation:
Anytime it says number of units left is a +7.
And it goes in the parentheses or absolute
Please help me the question is on the file ;-;
Answers
Answer:
D) 3x + 15 ≥ 300
Step-by-step explanation:
The rectangle must have a area of AT LEAST 300 square ft, or 300 or greater. Use the greater than or equal sign: ≥ 300.
Note that your are solving for the area, and that this shape is a rectangle. To get the area of the rectangle, simply multiply length and width:
(3) * (x + 5) = Area of rectangle.
Distribute the 3 to all terms:
3(x + 5) = 3x + 15 = Area of rectangle.
Put the two parts together:
3x + 15 ≥ 300.
~
Answer:
The last answer.
Step-by-step explanation:
The area of a rectangle is
Area=(width)*(length)
If we substitute the 2 given values into the formula we will get
Area= 3(x+5)
=3x+15
Since it's asking that it has to be "at least 300", it's saying that the equation has to be 300 or more.
3x+15>(less than or equal to) 300.
One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?
Answers
Answer:
20 seconds
Step-by-step explanation:
Alarm 1 = every 10 seconds
Alarm 2 = every 5 seconds
Alarm 3 = every 4 seconds
If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?
To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm
Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,
Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50
Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds
Therefore, they will all sound at the same time again in the next 20 seconds
please help me answer this i need asap
Answers
Answer:24 xexponet 3 − 5
Step-by-step explanation:
In 2011, the average daily temperature in Darrtown was 65°F. In 2012, the average daily temperature increased by 3% but then decreased by 4.5% in 2013.
What was the daily average temperature in Darrtown in 2013?
A. 62°F
B. 64°F
C. 68°F
D. 74°F
Answers
Answer:
c
Step-by-step explanation:
because 65+3%+4.5=69
pqrs is a rectangle with sides ps=5cm and pq =12cm find the length of qr ,sr and the two diagonals pr and qs.
tell the answer
Answers
PQRS is a rectangle.
PS = 5cm
PQ = 12cm
To Find:The length of qr ,sr and the two diagonals pr and qs.
Solution:Opposite sides of a rectangle are equal.
QR = PS = 5cm
SR = PQ = 12cm
By using Pythagoras Theorem, we get
PR = √PS^2 + SR^2
or, PR = √25 + 144
or, PR = √169
or, PR = 13cm
Diagonals of a rectangle are equal.
QS = PR = 13cm
Answer:QR = 5 cm
SR = 12 cm
PR = 13 cm
QS = 13 cm
What is the answer to this?
Answers
Answer:
C.) [tex]A=12x-20[/tex]
Step-by-step explanation:
The area formula:
[tex]A=l*w[/tex]
Insert the values:
[tex]A=4*(3x-5)[/tex]
Use the distributive property:
[tex]A=4(3x)+4(-5)\\\\A=12x-20[/tex]
:Done
6x^2=32x+24 Need help learning factoring please put work so I can understand
Answers
Answer:
I do not sorry
Answer:
2 • (x - 6) • (3x + 2)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
STEP 1 : Equation at the end of step 1
((2•3x2) - 32x) - 24
STEP 2 : Pulling out like terms
Pull out like factors :
6x2 - 32x - 24 = 2 • (3x2 - 16x - 12)
Trying to factor by splitting the middle term
Factoring 3x2 - 16x - 12
The first term is, 3x2 its coefficient is 3 .
The middle term is, -16x its coefficient is -16 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 3 • -12 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .
-36 + 1 = -35
-18 + 2 = -16 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2
3x2 - 18x + 2x - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-6)
Add up the last 2 terms, pulling out common factors :
2 • (x-6)
Step-5 : Add up the four terms of step 4 :
(3x+2) • (x-6)
Which is the desired factorization
Final result : 2 • (x - 6) • (3x + 2)
Hope this helps~
Smoll mochi