Answers
Answer:
[tex]\sqrt{-3}[/tex]
Step-by-step explanation:
Since each of these answers contain a radical, you want to find the one that has a negative value, because technically sqrt(some negative number) isn't defined, or rather it has no real solution. This is because you can rewrite a radical as [tex]\sqrt{a * b} = \sqrt{a} * \sqrt{b}[/tex]. And since [tex]i = \sqrt{-1}[/tex] you can rewrite [tex]\sqrt{-3}[/tex] as [tex]\sqrt{-1} * \sqrt{3}[/tex] which becomes [tex]i\sqrt{3}[/tex]
Related Questions
b=(1-1/3).(1-1/3).(1-1/4).................(1-1/2004)
Answers
When the above complex expression has been simplified the solution to the above expression is = 2003/8016.
What is the formula for solving the above?The formula is given as:
1 - [tex]\frac{1}{n}[/tex] = [tex]\frac{n-1}{n}[/tex]
From the stated express, we have:
(1 - (1/2)) * (1 - (1/3)) * (1 - (1/4)) *( 1 - (1/2004))
→ ((2-1)/2) ((3-1)/3) ((4-1)/4) ((2004 -1)/2004)
→ (1/2) * (2/3) * (3/4) * (2003/2004)
→ [tex]\frac{ 1* 2003}{4*2004}[/tex]
= 2003/8016
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Answer:
When the above complex expression has been simplified the solution to the above expression is = 2003/8016.
What is the formula for solving the above?
The formula is given as:
1 - =
From the stated express, we have:
(1 - (1/2)) * (1 - (1/3)) * (1 - (1/4)) *( 1 - (1/2004))
→ ((2-1)/2) ((3-1)/3) ((4-1)/4) ((2004 -1)/2004)
→ (1/2) * (2/3) * (3/4) * (2003/2004)
→
= 2003/8016
Step-by-step explanation:
PLS HELP ITS URGENT I HAVE LIKE A COUPLE QUESTIONS LEFT IM STUCK ON THIS
Answers
Answer: 3[tex]i[/tex]
Step-by-step explanation: The reason for this is because [tex]i[/tex] =
[tex]\sqrt{-1}[/tex], and when [tex]\sqrt{-1}[/tex] is multiplied to [tex]\sqrt{9}[/tex], it becomes [tex]\sqrt{-9}[/tex]. Since [tex]\sqrt{9}[/tex] can be simplified to 3, we can just multiply [tex]i[/tex] to 3. This becomes 3[tex]i[/tex].
Hope this helped!
Answer:
3i
Step-by-step explanation:
What is the Value of the expression? 2 (1/4)^2
Answers
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
2 ( [tex]\frac{1}{4}[/tex] )²
= 2 × [tex]\frac{1}{16}[/tex] ← cancel 2 and 16 by 2
= 1 × [tex]\frac{1}{8}[/tex]
= [tex]\frac{1}{8}[/tex]
In the race Math , drivers must complete laps of miles each. Dave drove the first laps at mph and the last laps at mph. What was Dave's average speed for the race, in miles per hour
Answers
The average speed in approximately 184.62 miles per hour.
We have been given that in the race Math 600, drivers must complete 200 laps of 3 miles each. Dave drove the first 150 laps at 180 mph and the last 50 laps at 200 mph.
First of all, we will find the number of miles in 150 laps and 50 laps as:
150 X 3 miles = 450 miles
50 X 3 miles = 150 miles.
Now, we will find time taken to complete each distance as:
Time = 450/180 =2.5 hr
Time = 150/200 = 0.75 hr
Average speed = 184.62
The average speed in approximately 184.62 miles per hour.
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Use the digits 1-20, at most one time each, to create a true statement for polynomial below.
(the _ are blanks that need to be filled in)
_x(x^2 - _x) + _x^3 = _x(_x^2 + _x) - x^2
Answers
The complete equation of the polynomial is 2x(x^2 - 11x) + 10x^3 = 3x(4x^2 - 7x) - x^2
How to complete the blanks?The equation is given as:
_x(x^2 - _x) + _x^3 = _x(_x^2 + _x) - x^2
Complete the blanks using alphabets
ax(x^2 - bx) + cx^3 = dx(ex^2 + fx) - x^2
Open the brackets
ax^3 - abx^2 + cx^3 = dex^3 + dfx^2- x^2
Factorize the expression
(a + c)x^3 - abx^2 = dex^3 + (df - 1)x^2
By comparison, we have:
a + c = de
-ab = df - 1
Rewrite the second equation as:
ab + df = 1
So, we have:
a + c = de
ab + df = 1
Set a = 2 and c = 10.
So, we have:
a + c = de ⇒ de = 2 + 10 ⇒ de = 12
ab + df = 1 ⇒2b + df = 1
Express 12 as 3 * 4 in de = 12
de = 3 * 4
By comparison, we have:
d = 3 and e = 4
So, we have:
2b + df = 1
This gives
2b + 3f = 1
Set b = 11.
So, we have:
2 * 11 + 3f = 1
This gives
22 + 3f = 1
Subtract 22 from both sides
3f = -21
Divide by 3
f = -7
Hence, the complete equation is:
2x(x^2 - 11x) + 10x^3 = 3x(4x^2 - 7x) - x^2
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I don’t understand this. Help me please!
Answers
Answer:
2
Step-by-step explanation:
So the midpoint of AB can be calculated by finding the length of AB, dividing it by 2 and then adding it to A. So the length of AB is equal to B-A or in general the difference between two values is |a-b| where the order doesn't matter, but assuming B is the right side (meaning it should be greater than A) the length should be B-A. in this case A = -5 and B = 3 so the length is 3 - (-5) = 8. The length is 8 so the midpoint is half of that which is 4, now adding 4 to the left side (A) you get -5 + 4 = -1. So the midpoint of AB lies at -1. Now the midpoint of AC can be found using the same process. 7 - (-5) = 12 => 12/2 = 6 => -5 + 6 = 1 so the midpoint of AC is at 1. Now to find how many units from the midpoint AB to AC you just subtract the midpoint of AB from AC. this gives you 1 - (-1) which is 2.
Choose the expression that is equivalent to the expression: 2³
a.2x2x2
b.2x3
c.3x3
d.2x2x3
Answers
Hello,
2³ = 2 × 2 × 2 → answer A
Pls answer ASAP it is almost due TYSMMM
There are 357 people attending a school play.
Assuming that all but one row of seats in the
theatre is completely full and that each row fits
24 people, how many rows of seats are there in
the theatre?
Answers
There are 15 rows of seats in the theater
How to determine the number of rows?The given parameters are:
Total number of people = 357People per row = 24The number of rows is calculated as:
Rows = Total number of people/People per row
This gives
Rows = 357/24
Evaluate the quotient
Rows = 14.875
Round up the number
Rows = 15
Hence, there are 15 rows of seats in the theater
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what should be added to 51 to get the answer -1 ?
Please answer Urgent!
Answers
Answer:
Let the no. be x
51 + x = -1
x = -1-51
x = 1 + 51
x = -52Answer:
-52
Step-by-step explanation:
51 + (-52) = -1
After grabbing some food from the cafeteria, Ray trips causing his food to go up in the air before hitting the ground. The parabolic path of his food tray can be modeled by the function ℎ() = − 0. 2 , where h is 2 + 0. 4 + 1. 6 the height in meters after t seconds. a)
What is the maximum height of the tray?
If Ray manages to catch the tray at the same height from which the tray flew out of his hands, how long is it in the air?
Answers
The maximum height of the tray is 1.8 meters and the tray is in the air for 2 seconds
The maximum height of the trayThe distorted information (i.e. the function) in the question is:
h(t) = -0.2t^2 + 0.4t + 1.6
Differentiate the function
h'(t) = -0.4t + 0.4
Set to 0
-0.4t + 0.4 = 0
Subtract 0.4 from both sides
-0.4t = -0.4
Divide by -0.4
t = 1
Substitute t = 1 in h(t) = -0.2t^2 + 0.4t + 1.6
h(1) = -0.2(1)^2 + 0.4(1) + 1.6
Evaluate
h(1) = 1.8
Hence, the maximum height of the tray is 1.8 meters
Time spent in the airIn (a), we have:
t = 1
This represents the time to reach the maximum height.
The time spent in the air is:
T = 2t
This gives
T = 2 * 1
T = 2
Hence, the tray is in the air for 2 seconds
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A new computer loses 1/3 of its value every year. Which graph- a, b, c, or d – could represent the relationship between the year and the computers value? Justify your choice.
Answers
The graph which represents the relationship between the year and the computers value is; Choice A.
Which graph represents the relationship?According to the task content, it follows that the computer loses 1/3 of its value every year. Hence, it follows that the value of the computer each year is 2/3 of its previous value.
Hence, the relationship can best be modelled by an exponential function, a decay function to be more specific and can best be represented by Choice A.
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Please answer with everything needed i appreciate everyones help:00
Answers
Answer:
y = 5
Step-by-step explanation:
Step-by-step explanation:
the slope of a line is the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.
when the slope is 0, it means the y coordinate change is 0 for all points. that means y is a constant. and the line is a horizontal line.
to go through (-2, 5) this constant y has to be the y value of the point.
so,
y = 5
that's it. that is the whole equation for that line, because the slope m is 0. what remains is the y-axis intercept (y = 5).
Select the correct answer.
The graph of function f is shown.
Which statement about function f is true?
answers:
The function f has an inverse because it passes the vertical line test.
The function f does not have an inverse because it is not one-to-one.
The function f has an inverse because it is one-to-one.
The function f does not have an inverse because its domain is not .
Answers
Answer:
The function f has an inverse because it is one-to-one.
Step-by-step explanation:
The condition for a function to have an inverse is that every x coordinate maps to a single y - coordinate. As illustrated by the diagram attached in the second picture, every x value maps to one y value therefore satisfying the condition making the function have an inverse.
Jeff's mother gave him money. he used an equal amount of money each day. at the end of the 7th day, he was left with 1/4 of how much he had at first. at the end of the 9th day, he was left with $10. how much did jeff receive from his mother?
Answers
Jeff received 280$ from his mother
Such questions are the simplest as it needs you to just write the conditions accordingly which then simplifies and provides you the answer.
This question can be solved using two tricks which are shown below:-
Trick 1 :
1 – 1/4 = 3/4 (used for the 1st 7 days)
1/4 – 410 (used for 8th and 9th days)
(3/4)/7 ——- (1/4 – 10)/2
(3/4) x (2/7) = 3/14 ——- (1/4 – 10)
1/4 – 3/14 = (7 – 6)/28 = 1/28 ——- 10
28/28 ——- 10 x 28 =$ 280
Trick 2 :
7 days ——- 3/4
1 day ——- 3/28
2 days ——- 6/28
6/28 ——- (1/4 – 10) = 7/28 – 410
1/28 ——- 10
28/28 ——- 10 x 28 = $280
Thus Jeff received 280$ from his mother.
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PLEASE HELP ASAP!!!!!!!!
Find the equation of this line.
y
--2
Simplify the fractions.
Enter
k
Answers
Answer:
y = - 6/7 x - 10/7
Step-by-step explanation:
Slope = (y2-y1) / (x2-x1)
= 6/-7 = -6/7
y = -6/7 x - a
passes by (-4,2)
2 = 24/7 - a, a = -10/7
y = -6/7 x - 10/7
Find the quotient of the complex numbers. Express your answer in trigonometric form. SEE ATTATCHED
Answers
The quotient of the complex numbers is 3[cos(240)+ isin(240)] option (D) is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have two complex number is given.
The quotient of the complex numbers:
[tex]= \rm \dfrac{12\left[cos\left(320\right)+isin\left(320\right)\right]}{4\left[cos\left(80\right)+isin\left(80\right)\right]}[/tex]
= 3[cos(320-80)+ isin(320-80)]
= 3[cos(240)+ isin(240)]
Thus, the quotient of the complex numbers is 3[cos(240)+ isin(240)] option (D) is correct.
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Triangle QRS is to be dilated using the rule D Subscript P, three-fourths.
Point P is the center of dilation. Triangle Q R S is shown. The length of P S is 8.
What will be the distance from the center of dilation, P, to the image S'?
2 units
4 units
6 units
8 units
Answers
The distance from the center of dilation, P, to.the image vertice S' is; 6 units.
What is the distance from the center of dilation, P, to the image S'?It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.
Hence, since the dilation factor as given in the task content is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6units.
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A cylindrical container 30cm in diameter holds approximately 30 litres of oil. how far does the oil level fall after 1 litre of oil has been used
Answers
The fall in the level of oil is 1.4147 cm when the total volume of oil consumed is 1 liter.
We assume the drop in the level of water to be d cm.
Since the container is cylindrical in shape, its volume is given as:
V = πr²h, where V is the volume, r is the radius, and h is the height.
In the question, we are given that the diameter of the can is 30 cm.
Hence its radius = 30/2 = 15 cm.
The capacity of the container is given to be 30 liters or 30*1000 = 30000 cm³.
The volume of the oil used = 1 liter or 1*1000 = 1000 cm³.
Thus, substituting V = 1000, r = 15, and h = d, in the formula of the volume, V = πr²h, we get:
1000 = π(15)²(d),
or, d = 1000/(225π) = 1.4147.
Thus, the fall in the water level is 1.4147 cm.
Therefore, the fall in the level of oil is 1.4147 cm when the total volume of oil consumed is 1 liter.
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Deepika has drawn a rhombus and a square, each with side length 5 cm. Which of these will be different for both the shapes?
1. lengths of the two diagonals
2. angles between the two diagonals
3. lengths of the adjacent sides
4. angles between the adjacent side
Answers
The difference for both the rhombus and square are as follows;
Lengths of the two diagonalsAngles between the two diagonalsAngles between the adjacent sideProperties of a square?All the sides are equal.Opposite sides are parallel.All the angles are 90 degrees each.The diagonal bisect each otherProperties of a rhombusAll the sides are equal.Opposite sides are parallel.All the angles are not 90 degrees.The length of the diagonals are not the same.Therefore, the difference for both the shapes(square and rhombus)are as follows:
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Given a sphere with a radius of 2 cm, find its volume to the nearest whole
number.
A. 8 cm³
B. 17 cm³
о C. 33 cm³
O D. 3 cm³
Answers
Answer: 34
Step-by-step explanation:
[tex]V=\frac{4}{3}(\pi)(2^{3}) \approx \boxed{34}[/tex]
succesive approximation
Consider the following equation.
x^2-3x+2= square root √x-2 + 2
Approximate the solution to the equation using three iterations of successive approximation. Use the graph below
25 POINTS PLEASEE :( THIS HAS A TIME LIMIT AND I WILL MARK BRAINLIEST
Answers
The Approximate the solution to the equation using three iterations of successive approximation is option b: 27/8.
What is the iterations about?In the equation given:
Note that:
x²-3x+2 = square root √x-2 + 2
Therefore:
x⁴-6x³+9x²= square root x-2
x² = 3.375
Convert 3.35 into fractions and will get 27/8. So, The Approximate the solution to the equation using three iterations of successive approximation is option b: 27/8.
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HELPPP MEEE PLSSSS meee outttt
Answers
Answer: x = 32
Step-by-step explanation:
If m∠ORS = m∠SRQ = 3x - 6 and since the two angles are a linear pair they total 180°. This means half or only one section = 90°
solve for x
3x - 6 = 90
add 6 to both sides
3x = 96
divide each side by 3
x = 32
Petrol costs $1.65 per litre. Calculate how much, correct to the nearest cent, the
petrol will cost Anne for a journey of 120km.
Answers
The petrol cost for Anne's journey of 120km is $16.236
How to find the cost for 120 km?Her car has a fuel consumption of 8.2 litres per 100 km .
Therefore,
100 km = 8.2 litres
120 km = ?
cross multiply
volume(litres) = 8.2 × 120 / 100 = 984 / 100 = 9.84 litres
Therefore,
1 litres = 1.65 dollars
9.84 litres = ?
cross multiply
cost of fuel used = 1.65 × 9.84 / 1
cost of fuel used = $16.236
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After using a compass and a straightedge to generate this figure, Jeremy claims AABC is an equilateral triangle inscribed in circle O.
How can Jeremy prove his claim?
A.He can show that the measures of arcs AB, AC, and BC are all equal to 60°.
B. He can show that the lengths of segments AB, AC, and BC are all equal to the length of the circle's radius.
C. He can show that the measures of arcs AB, AC, and BC are all equal to 120°.
D.He can show that the lengths of segments AB, AC, and BC are all equal to the length of the circle's diameter.
Answers
Answer: C. He can show that the measures of arcs AB, AC, and BC are all equal to 120°.
Step-by-step explanation:
Each angle of an equilateral triangle measures 60°, so by the inscribed angle theorem, each arc created by a pair of adjacent vertices will measure 120°.
NEED HELP
pls & thank you
Answers
We have proven that BC = DE using the Segment addition postulate
Segment addition postulateThe segment addition postulate states that given two points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC
The reasons for the proof are given below:
Statement Reason
BD = BC + CD Segment addition postulate
CE = CD + DE Segment addition postulate
BD = CE Given
BC + CD = CD + DE Substitution property
BC = DE Subtraction property
Hence, we have proven that BC = DE using the Segment addition postulate
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i need answer
because this is hella hard and i m trying to cheat but apps trying to make your boy pay and i aint doing it lol
Answers
Answer:
C) 12 m
Step-by-step explanation:
A horse 24 feet from the center of a merry-go-round makes 32 revolutions. In order to travel the same distance, how many revolutions would a horse 8 feet from the center have to make
Answers
Using proportions, the horse 8 feet from the center would have to make 96 revolutions.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
A horse 24 feet from the center of a merry-go-round makes 32 revolutions. If it is 8 feet and wants the same distance, how many revolutions will it need? The rule of three is:
24 feet - 32 revolutions
8 feet - x revolutions
The measures are inverse proportional, hence:
8x = 24 x 32
x = 24 x 32/8
x = 96 revolutions.
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(1/2) 400t² = 20,000
Answers
Answer:
160000
Step-by-step explanation:
if im wrong sorry
Answer:
the answer is 10
Step-by-step explanation:
. Hello !
Because firstly divide 400 by 2
200t²=20,000t²=100....divide both sides by 200t=10....is the value after squaring both sidesSolve each triangle. Round answers to the nearest tenth.
Answers
Step-by-step explanation:
1.) ˆ B = 7∘ , ˆ A = 28 ∘ , a = 27
-----------------------------------------------------------------------------------------
2.) c ≈ 28.0
-----------------------------------------------------------------------------------------
3.) The triangle has the following measures.
A = 36 ˚
a = 14 units
B = 105 ˚
b = 23 units
C = 39 ˚
c = 15 units
------------------------------------------------------------------------------------------
4.) a ≅ 15.0 units
B = 145 ˚
b ≅ 22.9 units
what is the slope for (3, 8) and (2, 6). ?
Answers
Answer:
m = 2
Step-by-step explanation:
[tex]m = \frac{rise}{run} =\frac{y_{2}-y_1}{x_2-x_1}[/tex]
[tex]=\frac{6 - 8}{2 - 3} \\= \frac{-2}{-1}\\ = 2[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{The formula for finding the slope:}[/tex]
[tex]\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}[/tex]
[tex]\huge\textbf{Some people understand formula like:}[/tex]
[tex]\mathbf{\dfrac{rise}{run} = slope}[/tex]
[tex]\huge\textbf{Breaking down the question:}[/tex]
[tex]\mathbf{y_2 \rightarrow \boxed{\textbf{6}}}[/tex]
[tex]\mathbf{y_1 \rightarrow \boxed{\textbf{8}}}[/tex]
[tex]\mathbf{x_2 \rightarrow \boxed{\textbf{2}}}[/tex]
[tex]\mathbf{x_1 \rightarrow \boxed{\textbf{3}}}[/tex]
[tex]\huge\textbf{What your equation should look like:}[/tex]
[tex]\mathbf{\dfrac{6 - 8}{2 - 3} = slope}[/tex]
[tex]\huge\textbf{Simplify the equation we came up with:}[/tex]
[tex]\mathbf{\dfrac{6 - 8}{2 - 3} = slope}[/tex]
[tex]\mathbf{\rightarrow \dfrac{-2}{-1} = slope}[/tex]
[tex]\mathbf{\rightarrow -2 \div -1 = slope}[/tex]
[tex]\mathbf{\rightarrow 2 = slope}[/tex]
[tex]\huge\textbf{Thus, the answer should most likely be:}[/tex]
[tex]\huge\boxed{\mathsf{Slope \rightarrow \boxed{\textsf{2}}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphite1040:)}[/tex]