An imaginary number is produced when we square a negative number.
The value of I is -1.
What is the Value of i?This article's introduction included a proposition. The specific measure or value of what I stands for was the subject of the statement. It is discussed in this section of the article along with an explanation of its value.
Iota is the term used to describe the imaginary portion of a complex number. The symbol "iota" or I is used to represent an imaginary number's value. An imaginary number is produced when we square a negative number.
The value of I is -1.
The concept of complex numbers is understood using this value of i.
x2 plus 1 equals zero in a quadratic equation.
x2 = -1
x = √-1
The imaginary portion is shown as -1.
I = √-1
i2 = -1
An imaginary number can be squared to get a negative value, as was previously discussed.
I = √-1
both sides being square
i2 = -1
An imaginary number plus a real number are combined to get any complex number. Iota, sometimes known as I stands for all non-real quantities.
Real numbers include 10, -20, 3, and other like values.
The integers 2i, -5, -i, etc. are examples of imaginary numbers.
Complex numbers take the form of a + ib, where I denotes the imaginary component. In addition, the number zero is complicated. Only the imaginary component of a complex number can be added to or subtracted from the imaginary part, and vice versa for the real part of the complex number.
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2: Si je cours à 12 km/h, en combien de minutes est-ce que je parcours 1 km ?
Answer: cinq minutes
Step-by-step explanation: 1h est egalle à 60minutes. Alors I'll a couru 12km Dan's 60minute. La duration pour 1km sera 60÷12=5 minutes
PICTURES BELOW!!! PLEASE HELP!! XTRA POINTS TO CORRECT ANSWER!!!
Which graph best represents the solution to the system of equations shown below? (5 points)
y = −2x + 14
y = 2x + 2
Answer:
The second graph
Step-by-step explanation:
take x = 3 for instance, we can see that on the graph both lines intersect on y = 8
if we try it with our equations:
-2 * 3 + 14 = 8
2 * 3 + 2 = 8
Hope thi helps, please give brainliest thanks
solve for x and graph the solution on the number line below 7+x<16
Step-by-step explanation:
x<16-7x<11.....................
(I NEED THIS RIGHT AWAY!) (PLS HELP) Lynette earns $5 by delivering newspapers. She saves $3 and she spends the rest. If she saved $27 one month, how much did she spend?
Answer:
$18
Step-by-step explanation:
To find how many times she has saved money, you would do 27/3=9. This means that she worked 9 times. Since she worked 9 times, she earned $45 in total. To find how much she saved you would do 45-27=$18
Please help me on this
Answer:
1. a
2. d
3. none of the above - correct answer is root 133. there has to be a typo I think. if they force you to choose do C.
Step-by-step explanation:
BRAINLIST??
Help, what are the answers to these angles? This is due by the end of today.
Answer:
1. 128
2. 136
3. 128
4. 52
5. 44
6. 146
7. 84
8. 96
9. 96
10. 84
11. 128
12. 52
13. 44
14. 136
15. 52
16. 128
17. 136
18. 44
Step-by-step explanation:
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($)| 0
2
4
6
10
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
0*.5+2*.2+4*.15+6*.1+10*.05= 2.1
The expected value of the winnings from a game is 2.1.
What is expected value?Expected value is used when we want to calculate the mean of a probability distribution. The weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value.
For the given situation,
Payouts, x = 0, 2, 4, 6, 10
Probabilities, P(x) = 0.5, 0.2, 0.15, 0.1, 0.05
The formula of expected value is [tex]E ( X ) = \mu = \sum [xP( x )][/tex]
⇒ [tex]E(X)=(0)(0.5)+(2)(0.2)+(4)(0.15)+(6)(0.1)+(10)(0.05)[/tex]
⇒ [tex]E(X)=0+0.4+0.6+0.6+0.5[/tex]
⇒ [tex]E(X)=2.1[/tex]
Hence we can conclude that the expected value of the winnings from a game is 2.1.
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Emily invested $2,000 in an account at a 3.5% interest rate. She kept the money in her account for four years. Determine, to the nearest dollar, the balance in the account after four years.
Answer:
$280
Step-by-step explanation:
$2000 * 3.5% * 4 = $8000 * 0.035 = $280
a stadium is filled to 80% capacity. If 2,560 people are in the stadium, how many people would fill the stadium to its full capacity?
2048 people would fill the stadium to its full capacity
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that a stadium is filled to 80% capacity
There are 2,560 people are in the stadium
We need to find how many people would fill the stadium to its full capacity.
We have to convert 80% to decimal by dividing 2560 with 100
80/100
0.8
Now multiply 0.8 with 2560
0.8×2560
2048
Hence, 2048 people would fill the stadium to its full capacity
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Pls help will give brainlest if it’s right
Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your answer to the nearest tenth!
Given: Two triangle AGHI AJKL.
To find: measure of side JK and round the answer nearest tenth.
Solution: from figure
IH=5, GH=8,LK=16 from similarity rule
IH/LK=GH/JK
5/16 = 8/x
⇒5x=16x8
x=16×8/5
⇒x=25.6 or
x= 26 (nearest tenth), this is side JK
Definition of TriangleA triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry.
Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.
Shape of TriangleTriangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.
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If $x$ is a positive multiple of 8 and $x^2>100$, but $x<20$, what is $x$?
Answer:
16
Step-by-step explanation:
16 is a positive multiple of 8, in which 16²=256>100 and 16<20 are true statements.
Answer:
[tex]$x=\boxed{16}$[/tex]
Step-by-step explanation:
Since $x$ is a positive multiple of 8, it must be at least 8. Since $x^2>100$ and $x$ is at least 8, the only solution is $x=16$.
To verify this, note that $x=8$ does not satisfy the inequality $x^2>100$, but $x=16$ does, so $x=16$ is the only solution that works.
Therefore, $x=\boxed{16}$.
A population has a standard deviation x=18.4. How large a sample must be drawn so that a 98% confidence interval will have a margin of error equal to 4.1?
Answer:
"109" will be the appropriate response.
Step-by-step explanation:
The given values are:
Standard deviation,
[tex]\sigma=18.4[/tex]
Margin of error,
[tex]E = 4.1[/tex]
Using the table,
[tex]Z_{(\frac{0.02}{2} )}=2.326[/tex]
Now,
The sample size will be:
⇒ [tex]n=(\frac{Z_{(\frac{0.02}{2})\times \sigma}}{E} )^2[/tex]
On substituting the values, we get
⇒ [tex]=(\frac{2.326\times 18.4}{4.1} )^2[/tex]
⇒ [tex]=(\frac{42.7984}{4.1} )^2[/tex]
⇒ [tex]=(10.4386341)^2[/tex]
⇒ [tex]=109[/tex]
Use point-slope form to find the equation of the line with a slope of -3 that passes through the point (-1,0)? Express your answer in slope-intercept form.
Answer:
y = -3x - 3
Step-by-step explanation:
y = -3x + b
0 = -3(-1) + b
0 = 3 + b
-3 = b
y = -3x - 3
If you thanks my answers I will give brainliest and thanks back
Answer:
deal
Step-by-step explanation:
Answer: for real. I give you a thanks in your answer I will give you more please give me a Brainliest I really needed it :D
Step-by-step explanation:
Zasha spent $6 on packages of gum. How many more packages of gum that cost $1.20 each can she buy if she has a $20 bill?
Answer: Zasha spent $6 on packages of gum, which means that she bought 6 / $1.20 = 5 packages of gum.
If she has a $20 bill, she has $20 - $6 = $14 left to spend on gum.
Zasha can buy an additional 14 / $1.20 = 11.6666666666666666666666667 packages of gum with this money.
Rounded down, Zasha can buy an additional 11 packages of gum.
Therefore, Zasha can buy a total of 5 + 11 = 16 packages of gum.
Step-by-step explanation:
subtract x2+2x+1-(x-3)
Answer:
(x to the second power)+x+4
Step-by-step explanation:
Ur welcome
Simplify to create an equivalent expression.
−2(−5n+6)+5(2−7n)
plz help UwU
Answer:
D -25n-2
zbsbbwjavabwbwhvwjqv17w7wfw ggv s zg
Natalia paid $38.95 for three medium-sized pizzas and a salad. If Natalia paid $11.98 for the salad, how much did each pizza cost? Enter your answer in the box.
Answer:
$8.99
Step-by-step explanation:
The rectangular prism has a volume ar 936 cubic inches Find the missing dimension of the prism
Please help!!!! I'LL GIVE 5 STAR RATING AND A THANKS
Answer:
9.1
Step-by-step explanation:
For the first one, I just multiplied 4.55 and 0.5 by 2 somthey are proportional. Or divide distance by time!
You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months
The number of ants in 6 months will be 88 ants.
How to calculate the value?The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
In this situation, in an ant farm with 22 ants and the population of ants in your farm will double every 3 months.
The number of ants in 6 months will be:
= 22 × (6/3)²
= 22 × 2²
= 88 ants
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Complete question
You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months. What is the number of ants in 6 months.
What is the domain of the function y=5√6−2x
The domain is all values of x that makes the expression defined.
Set-Builder Notation: {x| x ≤ 3 }
Interval Notation: (-∞,3]
What is the domain of the given function?Given the function in the question;
y = 5√(6−2x)
To find the domain, set the radicand greater than or equal zero and solve for x.
6 - 2x ≥ 0
Subtract 6 from both sides
6 - 6- 2x ≥ 0 - 6
-2x ≥ -6
Divide both sides by -2
-2x/-2 ≤ -6/-2
x ≤ -6/-2
x ≤ 3
Therefore, the domain is;
Set-Builder Notation: {x| x ≤ 3 }
Interval Notation: (-∞,3]
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Multiple Choice
2. Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points.The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points resemble a layout similar to a checkmark with the first point located slightly higher than the second point. The second, third, and fourth points follow a linear pattern with a positive slope.
A.
Time (s) Height (m)
1
5
2
10
3
15
4
20
B.
Time (s) Height (m)
1
2
2
3
3
5
4
9
C.
Time (s) Height (m)
1
4
2
3
3
5
4
7
Multiple Choice
Match the graph to the table of values.
The first quadrant of a coordinate plane is shown with four plotted points. The x-axis is titled 'Time in seconds,' and the y-axis is titled 'Height in meters.' The four points start in the lower left corner of the first quadrant and follow a linear pattern with a positive slope.
A.
Time (s) Height (m)
1
5
2
10
3
15
4
20
B.
Time (s) Height (m)
1
2
2
3
3
5
4
9
C.
Time (s) Height (m)
1
4
2
3
3
5
4
7
100 POINTS FOR ANSWERS AND EXPLANATION! PLS I NEED HELP ASAP! Thanks!
Answer:
Step-by-step explanation:
Choice A: t=1, h=5; t=2, h=10
Choice B: t=1, h=2; t=2, h=3
Choice C: t=1, h=4; t=2, h=3
ans is C as it fits the descriptions
Choice A: t=1, h=5; t=2, h=10; t=3, h=15
Choice B: t=1, h=2; t=2, h=3; t=3, h=5 <== non-linear
Choice C: t=1, h=4; t=2, h=3; t=3, h=5 <== non-linear
ans is A as it fits the descriptions
Are the following statements true or false? Justify your answers. Complete parts (a) through (c) below. (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) (a) In statistics, results are always reported with 100 % certainty. Choose the correct answer below A. False. In statistics, results are always reported with 100 % certainty only when discrete variables are measured. Results cannot be reported with 100 % certainty when continuous variables are measured. B. True. Statistics is the science of collecting, organizing, summarizing, and analyzing information to draw conclusions or answer questions. Since it is a science, results are always reported with 100 % certainty. C. True. Statistics would not be useful if they were not presented with 100 % certainty . Statistics is a form of mathematics, which means that as long as correct procedures are used, all results must be correct. D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.
The correct option that tests the given claim on statistics is; D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.
How to interpret the conclusion of a statistics research?Statistical research is defined as the rigorous development of improved or new statistical methods grounded in probability and statistical theory.
Statistical data analysis is basically a procedure that is used to perform various statistical operations.
Now, from the question, the claim is that In statistics, results are always reported with 100 % certainty.
Now, this claim needs to be examined because there is no perfect human being and as such since statistics is drawn from a lot of samples and groups, there is guaranteed to be some form of variability in responses or results as the case may be.
Therefore, we can say that is option D.
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write the ratio of 14 and 18 in its lowest terms
Answer:
the correct answer is 7 and 9
Answer:
7 and 9
Step-by-step explanation:
14 ÷ 2 and 18÷ 2
= 7 and 9
The volume of a cylinder is 60 cubic centimeters. What is the number of cubic centimeters in the volume of the sphere it circumscribes
Call the radius of the cylinder and sphere, r And the height of the cylinder = 2r
How to Calculate Volume in Cubic Centimeters?Calculating volume is just another way of saying that you're measuring the amount of space inside a three-dimensional object. You can use standardized formulas for calculating the volume of shapes like cubes, cylinders and spheres, as long as you know their basic measurements.So60 = pi * r^2 * 2r30 = pi * r^330/pi = r^3[30/pi]^1/3 = rSo...the volume of the sphere is(4/3)pi [ (30/pi)^1/3 ]^3 =(4/3) pi * 30/pi =40 cm^3A cubic centimetre (or cubic centimeter in US English) (SI unit symbol: cm3; non-SI abbreviations: cc and ccm) is a commonly used unit of volume that corresponds to the volume of a cube that measures 1 cm × 1 cm × 1 cm. One cubic centimetre corresponds to a volume of one millilitre.How to Work out Volume with Cubic Centimetres. If a container was filled with water and it had a length of 20 cm, a height of 5 cm and a depth of 4 cm to work out the volume of water you would need to multiply all 3 numbers together. 20 cm x 5 cm x 4 cm = 400 cm³To learn more about Volume in Cubic Centimeters refers to:
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Solve for x. Round your answer to the nearest tenth if necessary. NO SCAMS OR LINKS PLEASE!!!!!! ANSWER IS NOT 14.1
Answer:
[tex]\boxed {\boxed {\sf x\approx 7.3}}[/tex]
Step-by-step explanation:
The triangle has a small square in the corner representing a 90 degree angle. This is a right triangle so we can use the Pythagorean Theorem to solve for the sides.
[tex]a^2+b^2=c^2[/tex]
In this equation, a and b are the legs and c is the hypotenuse.
x and 8.5 are the legs because they make up the right angle. 11.2 is the hypotenuse because it is opposite the right angle.
a= xb=8.5 c=11.2Substitute the values into the formula.
[tex]x^2+(8.5)^2=(11.2)^2[/tex]
Solve the exponents.
(8.5)²= 8.5*8.5= 72.25 (11.2)²= 11.2*11.2= 125.44[tex]x^2+72.25 =125.44[/tex]
Solve for x by isolating the variable. 72.25 is being added, so we subtract 72.25 from both sides because subtraction is the inverse operation of addition.
[tex]x^2+72.25-72.25 = 125.44-72.25[/tex]
[tex]x^2=125.44-72.25[/tex]
[tex]x^2=53.19[/tex]
x is being squared, so we take the square root of both sides.
[tex]\sqrt{x^2}=\sqrt {53.19}[/tex]
[tex]x=\sqrt{53.19[/tex]
[tex]x=7.29314746869[/tex]
Round to the nearest tenth. The 9 in the hundredth place tells us to round the 2 up to a 3.
[tex]x \approx 7.3[/tex]
The unknown side, x, is approximately 7.3
Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
On solving the provided question, we can say that - here in graph we have on solving equation [tex]x^2+ 3y^2 \\[/tex] = [tex]4+3 = 7[/tex]
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here-
from graph, x= 2
y = 1
[tex]x^2+ 3y^2 \\[/tex]
[tex]4+3 = 7[/tex]
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3. At the grocery store, three flavors of Cheerios are sold.
Flavor A is 20 ounces and costs $4.49. The unit rate is ------------- per ounce.
For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. The unit rate is------------------------ per ounce.
For Flavor C, the table below shows the amount paid per ounce. The unit rate is ---------------------- per ounce
Ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red. Write an equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used.
7. Let x represent the number of balloons used compared to y which is the number of red balloons.
10.
Review the keywords below. Find at least 2 words commonly used for "Rate of Change". Drag and Drop them to the box for "Rate of Change" to earn full credit.
The unit rate of flavor A is; $0.2245 per ounce
The unit rate of flavor B is; $0.20 per ounce
An equation to help Ray determine how many red balloons are needed compared to the the total number of balloons used is; y = ²/₅x
How to find the unit rate?A unit rate is also called unit ratio and it describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.
We are given that Flavor A is 20 ounces and costs $4.49. Thus;
Unit rate of flavour A = $4.49/20 = $0.2245 per ounce
For Flavor B, the equation y = 0.20x represents the cost (y) per ounce (x) in each box. Thus, the unit rate is $0.20 per ounce
Since ray is making bouquets of balloons. In each bouquet 2 out of every 5 balloons are red.
If x is the number of ounces, then the unit rate is 2/5 . Thus, the equation is; y = ²/₅x
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