Answer:
[tex]i^{85} = i[/tex]
Step-by-step explanation:
The options are missing; however, the question can still be solved.
Given
[tex]Number = i^{85}[/tex]
Required
Simplify
[tex]Number = i^{85}[/tex]
Rewrite 85 as 84 + 1
[tex]Number = i^{84 + 1}[/tex]
Split the expression using the law of indices
[tex]Number = i^{84} * i^1[/tex]
Rewrite 84 as 4(21)
[tex]Number = (i^{4})^{21} * i^1[/tex]
In complex numbers, [tex]i^4 = 1[/tex]
So, we have
[tex]Number = 1^{21} * i^1[/tex]
[tex]Number = 1 * i[/tex]
[tex]Number = i[/tex]
Hence;
[tex]i^{85} = i[/tex]
Write 6 x 10 x 10 x 10 x 10 with an exponent.
Answer:
the answers is 6x 10 4
Step-by-step explanation:
The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
We have been given an expression as
6 x 10 x 10 x 10 x 10
Here we can see the base 10 multiplied by itself 4 times.
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
The expression 6 x 10 x 10 x 10 x 10 with an exponent would be written as 6(10^4).
Learn more about exponentiation here:
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please help!!
Which system of inequalities is represented by the graph?
Answer:
The third option
y < -2x +2
y < or = 1/2x -1
y > or = -4
Step-by-step explanation:
Solved on Desmos graphing calculator ;)
The path of water from a hose on a fire tugboat can be approximated by the equation y=-0.0055x^2 +1.15x + 5, where y is the height above the ocean and x is the distance from the tugboat. When the water is 6 ft above the ocean how far is it from the tugboat
Answer:
The water is 208.22ft from the tug boat
Step-by-step explanation:
The governing equation is [tex]y=-0.0055x^2 +1.15x + 5[/tex]
y is the height above the ocean
x is the distance from the tugboat
if y= 6ft, the equation will now become
[tex]6=-0.0055x^2 +1.15x + 5[/tex]
we can arrange this properly to form a quadratic equation by grouping like terms.
[tex]-0.0055x^2 +1.15x -1=0[/tex]
solving quadratically we have two values of x as 208.22ft and 0.873 ft.
We can take a more realistic value as a solution to our problems:
208.22ft
is 65.4279 Rational or Irrational
Answer:
Irrational
Step-by-step explanation:
Not repeating
Using the fact that [tex]a - b = -1(b-a)[/tex] simplify the following: [tex]\frac{3}{1-x} - \frac{2}{x-1}[/tex]
Answer:
[tex]\frac{5}{1-x}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{1-x}[/tex] - [tex]\frac{2}{x-1}[/tex]
= [tex]\frac{3}{1-x}[/tex] - [tex]\frac{2}{-1(1-x)}[/tex]
= [tex]\frac{3}{1-x}[/tex] + [tex]\frac{2}{1-x}[/tex]
= [tex]\frac{5}{1-x}[/tex]
Will Give Brainliest
Big Water Canoeing Company rents canoes for $75 per hour. Explain why the point (0, 0) and (1, 75) are on the graph of the relationship and what these points mean in the context of the problem.
Answer: Unit Rate= 75 they are on the graph because that is where the unit rate starts. In the context they mean the rent goes up by $75.
Step-by-step explanation: I hope this helps im still a little confused myself, if it doesnt help im sorry.
All good football players are over 200 pounds. Earl is 230 pounds. Kaylie concludes Earl is a good football player. Is her conclusion valid? Explain.
Answer:
I don't think so
Step-by-step explanation:
If being over 200 lbs makes you a good football player, then Earl could be a good player. But you need to be skilled at football to be good at it. Your weight doesn't make you good at something. So in my opinion, I don't think Kaylie's conclusion is valid.
I hope this answer helped you
Scott imports a car from Japan for $12,500. He places an advertisement to sell the car in the newspaper and sells it for $26,800 How much profit has he made ?
Answer:
14,300
Step-by-step explanation:
Tell if is: < or >
Answer:
-2>-5
4/7<3/5
-1.3>-1.333333
Step-by-step explanation:
Select the correct answer. Which statement about an electromagnet is true? A. It doesn’t function without a source of current. B. The core is made from a nonmagnetic material. C. It uses moving magnets to create an electric field. D. It creates a permanent and strong magnetic field.
Answer:I’m going to say it’s A I apologize if it’s wrong
Step-by-step explanation:
Magnets are magnetic fields that compares together when attracted close to one another so that’s Why I’m choosing A because it’s close to what I think
Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s business is currently in debt? Check all that apply.
225(3)
(3)(–225)
–225 + 3
3 – 225
–225(3)
Answer:
first one cause 225 times 3
Step-by-step explanation:
Answer:
answers 2 and 5
Step-by-step explanation:
find value of (-1/2)∧-6
Answer:
64.
Step-by-step explanation:
(-1/2)∧-6
= 1 / (-1/2)^6
= 1 / 1/64
= 64.
a colony is a statement far away from the government that rules it true or false
-14 could be classified as all of these EXCEPT?
Rational
Real
Whole
Integer
Answer:
it is a rational number, a integer, and a real number. It is NOT a whole number
Step-by-step explanation:
Answer:
It is not a whole number when compared to other answers.
Owen knows he only has three pencils in his backpack, and they are all yellow. He reaches into his backpack without looking and takes out a pencil. What is the probability that the pencil was yellow? Answer options with 5 options A. 0-thirds B. 1-third C. 2-thirds D. 3-thirds E. 3 over 1 I NEED ACTUAL ANSWERS NOT JUST STUPID PEOPLE WITH A POOR SENSE OF HUMOR
Answer:
D; 3-thirds
Step-by-step explanation:
Here is a probability question.
Firstly, we need to understand that the probability of any event is between 0 and 1; it cannot be negative and cannot be more than 1.
So the probability we want to calculate here is simply the probability of drawing a yellow pencil.
The way to go about this is by dividing the number of yellow pencils by the total number of pencils
Mathematically;
Probability of bringing out a yellow pencil= Number of yellow Pencils/ Total number of pencils
From the question, we are told that the number of pencils = number of yellow pencils = 3
Thus the probability will be 3/3 = 1
This cannot be found in the options right?
1 is the same as 3-thirds meaning 3 * 1/3 = 1
Urgent!!! Brainliest ,25 points and a thanks for the first to answer.
Answer:
1) 8
2) 6
3) 7
4) 0
5) 5
6) 1
7) 3
8) 2
9) -14
10) 12
11) -9
12) -6
13) -11
14) 1
15) -6
16) -12
17) -1/2
18) 9/11
19) 7/13
20) 9/7
21) -5/13
22) -13/25
Step-by-step explanation:
which is not a correct name to name an angle
Answer:
<TGE
Step-by-step explanation:
it must connect
Ava has 34 candy bars. If
a box contains 5 bars and she has 4 extra candy bars
determine how many boxes
She has?
[tex]\bf Step-by-step~explanation:[/tex]
If Ava has 34 candy bars, and each box can hold 5 bars, then we need to find out how many boxes that are filled up.
[tex]\bf Step~1:[/tex]
Divide the number of candy bars (34), by the number each box can hold (5)
[tex]\bf\frac{34}{5}=6.8[/tex]
Since we cannot have 6.8 boxes, we have to round down to 6.
[tex]\boxed{\bf Our~final~answer:~6~boxes}[/tex]
[tex]\bf Check~our~answer:[/tex]
To check our answer, we multiply the number of boxes (6), by the number of bars in each box (5), to get 30. We add Ava's extra bars (4), and we get the number we started off with: 34. This proves our answer is correct!
Which angles are corresponding angles?
Check all that apply.
8 5
7
6
4
1
3
2
D A. 7 and 3
B. 1 and 5
O c. 1 and 6
O D. 5 and 4
D E. 8 and 1
O F. 1 and 4
Answer:
A. 7 and 3
&
B. 1 and 5
Step-by-step explanation:
Corresponding angles are a pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
The answers are:
•8 and 4
•5 and 1
•7 and 3
•6 and 2
I hope this helps! I'm sorry if it's wrong.
Tina has 1/2 of a pan of cornbread left from a dinner party. She eats 1/2 of the leftover part the next night. How much of the whole pan does tina eat? Write and solve this equation
Answer:
Tina ate 3/4 of the whole pan of cornbread.
Step-by-step explanation:
Let the amount of cornbread in the initial pan be x.
After the dinner party, Tina has 1/2 of x left; That is 1/2x
If she eats 1/2 of the leftover, that will be 1/2 of 1/2x that is eaten. This will be 1/4x that is eaten.
To find the potion of the whole pan that Tina ate, we will add the potion she ate during the party to the portion of the leftover she ate the next night.
That will be 1/2x + 1/4x =3/4x
Therefore, Tina ate 3/4 of the whole pan of cornbread.
In a binomial experiment, if there are two possible outcomes and P(S) = 0.36, what is P(F)?
a 0.06
C. 0.36
b. 0.74
d. 0.64
Answer:
D. 0.64
Step-by-step explanation:
The reason I got this answer is because the problem tells us that there is a success rate of .36, so you would subtract .36 from 1 to get .64. The success rate and failure rate should always be equal to 1.
Solve the equation for x.
1/4(2x + 8) = –16
A)
-18
B)
-24
D
-28
D)
-36
Answer:
D
Step-by-step explanation:
Given
[tex]\frac{1}{4}[/tex] (2x + 8) = - 16
Multiply both sides by 4 to clear the fraction
2x + 8 = - 64 ( subtract 8 from both sides )
2x = - 72 ( divide both sides by 2 )
x = - 36
Answer:
The answer is option DStep-by-step explanation:
[tex] \frac{1}{4} (2x + 8) = - 16[/tex]First multiply through by 4
That's
[tex]4 \times \frac{1}{4}(2x + 8) = - 16 \times 4 \\ 2x + 8 = - 64[/tex]Subtract 8 from both sides
We have
[tex]2x + 8 - 8 = - 64 - 8 \\ 2x = - 72[/tex]Divide both sides by 2
That's
[tex] \frac{2x}{2} = - \frac{72}{2} [/tex]We have the final answer as
x = - 36Hope this helps you
11( 8r+ 3) - 2(-9 + 6r)
Answer:
r = -51/76
Step-by-step explanation:
11( 8r+ 3) - 2(-9 + 6r)
76 r + 51
r = -51/76
Hoped I helped! Please put me as brainliest!
The cross-sectional areas of a right pyramid and a right cylinder are congruent. The pyramid has a height of five units, and a right triangle has a height of three units. Which conclusion could be made from the given information
Answer:
the volume of the right cylinder is 1.8 times the volume of the pyramid
Step-by-step explanation:
The volume of a pyramid is
[tex]V = \dfrac{1}{3} \times B\times H[/tex]
where the height of the pyramid is 5
[tex]V = \dfrac{1}{3} \times B\times 5[/tex]
[tex]V = \dfrac{5}{3} B \ units ^3[/tex]
On the other hand, the volume of a right cylinder is
V = BH
where the height of the right cylinder = 3 units
V = 3 B units³
Since we know that the cross-sectional areas are congruent, comparing the two-volume, we have the ratio of their volumes to be:
[tex]\dfrac{V_p}{V_c}= \dfrac{\dfrac{5}{3}B}{3B}[/tex]
[tex]\dfrac{V_p}{V_c}= \dfrac{5}{9}[/tex]
[tex]9 V_p = 5 V_c[/tex]
[tex]V_c = 1.8 \ V_p[/tex]
Hence, the volume of the right cylinder is 1.8 times the volume of the pyramid
How are the solutions of an inequality different from the solutions of an equation?
Answer:
Step-by-step explanation:
+
Click on the graph until the graph of a line with undefined slope appears.
Answer:
The graph with the vertical line.
Step-by-step explanation:
All vertical lines have an undefined slope. Horizontal lines have zero slope, and diagonal lines have a slope.
When calculating a slope for a vertical line, you would have to divide by zero. The quotient of any number and 0 are undefined, as you cannot divide by zero. This is what makes vertical lines have an undefined slope.
Hope this helps.
A jar contains 16 black balls,13 blue balls and 2 red balls in a bag. A ball is drawn in random. Find the probability of drawing a black ball? Find the probability of drawing a blue ball? Find the probability of not drawing a red ball?
Answer:
black: 16/31 blue: 13/31 red 2/31
16 black, 13 blue, 2 red
16+13+2 = 31 total
16/31 is the probability of picking black
13/31 is the probability of picking blue
2/31 is the probability of picking red, so 29/31 is the probability of not picking red (since 31-2 = 29 are not red out of 31 total)
If anybody is good at math please help me out.
Step-by-step explanation:
The general equation of a straight line graph is y = mx + c, where m is the gradient of the line and c is the y-intercept.
Gradient = (2 - (-18)) / (3 - (-2)) = 20/5 = 4.
So y = 4x + c.
When x = 3, y = 2. (Given in the question)
This means that 2 = 4(3) + c, hence c = -10.
The answer is y = 4x - 10.
determine the quotient of 2/3 ÷ 4/5
Answer:
5/6
Step-by-step explanation:
It might make the problem easier to understand if we were to rewrite it as:
2
----
3
======
4
----
5
In this expression, we're dividing by a fraction, the fraction 4/5. We can get the same result by inverting this divisor fraction, 4/5, and then multiplying 2/3 by 5/4:
5 2
----- * -----
4 3
This reduces to
5 1
----- * ----- = 5/6
2 3
Is -5/3 rational or irratuonal