The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i
How to rewrite the expression?The complex number expression is given as:
[tex]\sqrt{60i - 11}[/tex]
Rewrite as:
[tex]a + bi = \sqrt{60i - 11}[/tex]
Take the square of both sides
[tex]a^2 + 2abi - b = 60i - 11[/tex]
By comparison, we have:
a^2 - b = -11
2ab = 60
Divide both sides by 2
ab = 30
Using a graphical tool, we have:
a = 2,b = 15
So, we have:
a + bi = 2 + 15i
Read more about complex numbers at:
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I WILL GUVE BRAINIEST I NEED ASAP.
A car has 4 cylinders that each have a radius of 4cm and a height of
10. Use 3.14 for pi. Find the volume of a cylinder, solve for the total
volume of the engine in cubic centimeters, then round to the nearest
cubic centimeter.
Answer:
What I got for my answer for one of the cylinders is 502.65
I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^
Help pleaseeee, I am lost and need help
Answer:
I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2
jake plays baseball with two wooden bat one made from hickory and one made from white ash what is the weight of the white ash if his hikory bat weght 32.4 ounse and both bat togethere weight 64.33
Determine the central angle of a sector which has a radius of 8 inches and an area of 78.2 square inches
80
160
235
140
Answer: 140
Step-by-step explanation:
Hannah selects a marble randomly from a jar containing 11 green, 5 yellow, and 4 red marbles. Develop a probability model based on theoretical probability
55%green25%yellow20%red
A machine packages bags of almonds. The weights of the bags are normally distributed with a mean of 14 ounces and a standard
deviation of 1.2 ounces.
Enter the Z-score of a bag of almonds that weighs 12.2 ounces.
Answer: -1.5
Step-by-step explanation:
took the test
The z-score of a bag of almonds weighing 12.2 ounces will be negative 1.5.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
A machine packages bags of almonds.
The weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces.
Then the z-score of a bag of almonds weighing 12.2 ounces will be
z-score = (x - mean) / SD
z-score = (12.2 - 14) / 1.2
z-score = -1.8 / 1.2
z-score = -1.5
More about the normal distribution link is given below.
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The relationship between the length and weight of certain sea turtles can be approximated by the equation L = 0,55 W,
where L is the length in feet and W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
Answer:
4.55 pounds
Step-by-step explanation:
From the above question , we are told that:
The relationship between the length and weight of certain sea turtles can be approximated by the equation
L = 0.55 W,
where
L is the length in feet
W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
L = 2.5 feet
Hence,
2.5 = 0.55W
W = 2.5/0.55
W = 4.5454545455 pounds
Approximately, weight of the sea turtle in pounds = 4.55 pounds
If using the method of completing the square to solve the quadratic equation
x^2– 13x – 7 = 0, which number would have to be added to "complete the
square"?
Answer:
9642
Step-by-step explanation:
The points plotted below are on the graph of a polynomial. How many roots
of the polynomial lie between x = -4 and x = 3?
URGENT
Given:
The graph of a polynomial.
To find:
The number of roots of the polynomial lie between x = -4 and x = 3.
Solution:
From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.
The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.
The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.
Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.
Beverly wants to list the following numbers in order from greatest to least l. Place the rational number in order from greatest to least? 1/6 6% 0.012 1/12
Answer:
0.012, 1/12 , 6% , 1/6
Step-by-step explanation:
To put these numbers in order, you need to first put them in the same form. Let's turn them all into decimal form.
* To put fractions in decimal form you need to divide the numerator into the denominator.
* To put a percent into a fraction you need to understand that this percent is out of 100. ex: 6% = 6/100 , 3% = 3/100 11% = 11/100. so in order to put the new fraction into a decimal, you put it in the correct decimal place. This is wrong 6/100 = .60 this reads 6 tenths so we need to go over a decimal place.
This is correct 6/100 = .06 This is 6 tenths.
So let's go through: _
1 divided by 6 equals 0.16
6% is equal to .06
0.012 is already in decimal form 0.012 _
1 divided by 12 equals 0.083
#Always remember you have to put the numbers in the original form that they were given.
# Also the more decimal places a number has behind the decimal the less the number
Ex: 0.012 > 0.011 Even though these have the same decimal place 0.012 is greater because it's a greater number.
0.12 > 0.012
PWEASE HELP ILL GIVE BRAINLIEST
Rhona decided to buy a larger 1 1/4 pound package of baking flour rather than a 5/8 pound package. How much heavier is a larger package than a smaller one?
Answer:It is 5/8 of a pound heavier
Step-by-step explanation:
1 1/4 - 5/8=5/8
Answer:
The larger package is twice as heavy
Step-by-step explanation:
first make 1 1/4 into 5/4 and then multiply the top and the bottom by 2 to get a common denominator of 8. you will end up with 10/8. you can then subtract 5/8 from 10/8, leaving you with 5/8.
PLZ ANSWER WILL GIVE BRAINLIEST *NO LINKS*
Answer:
6/20 prescient chance to get a green marble and a 8/19 chance to get a purple one
Step-by-step explanation:
Select the equivalent expression.
(54.6-10) “ =?
Choose 1 answer:
54. 660
524.860
360
524
Answer:
©
[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]
what is the mean,median,mode ,and range of 24,12,10,15,10,22,12
Answer:
24, 12, 10, 15, 10, 22, 12
mean: 7
median: 12
mode: 12
Range: 14
Step-by-step explanation:
Answer: Mean=15, Median=12, Mode=10 and 12, Range=14
Step-by-step explanation:
Data:
Numbers: 10, 10, 12, 12, 15, 22, 24
Mean: x, Median: x, Mode: x, Range: x
Step One, Find the Mean by adding all of the numbers and dividing them by the number of numbers
10+10+12+12+15+22+24=105/7=15
Mean=15
Reason: By adding all of the numbers together and dividing them by the number of numbers, you can find the mean because that is the method on finding the mean.
Step Two, Find the Median(middle) by finding the number in the middle
10, 10, 12, 12, 15, 22, 24
Median=12
Reason: Since the median is the number in the middle, 12 would be the median since it is the number in the middle of the array of numbers.
Step Three, Find the mode by finding the number that show up the most
10, 10, 12, 12, 15, 22, 24
Mode=10 and 12
Reason: Since mode is finding the number that shows up the most, 10 and 12 would be the answer for that reason and that they show up the same number of times in the array of numbers.
Step Four, Find the range by subtracting the biggest number by the smallest
24-10=14
Reason: Since to find the range you have to subtract the biggest number(24) by the smallest(10) the answer has to be 14 because that us the answer to 24-10.
I hope this helps!
Perpendicular to x+y=6 and passing through (0,1)
Answer:
y = x + 1
Step-by-step explanation:
x + y = 6
y = -x + 6
Perpendicular slope to -1 is 1
(0,1)
y - y1 = m(x - x1)
y - 1 = 1(x - 0)
y - 1 = x
y = x + 1
Standard form:
y = x + 1
-x + y = 1
10, 20, 30, 40 minutes 60,120,180,240 calories burned how many calories will Alexa burn in 11 minutes
Answer:
67 calories
Step-by-step explanation:
because its bettween one
HELP, i don't understand this I put all my points pls help me with this
Answer:
I cant see
Step-by-step explanation:
Answer:
2+5*3+6*2+7*3+8*2 = 66
66/5 = 14
mean = 14
hope this helps
Step-by-step explanation:
the 6% state income tax on a 42.000 salary help
Answer:
$2520
Step-by-step explanation:
would it be 42$ or 42000$? if its 42000$ it would be $2520
42000/100*6
Solve for x. Round your answer to the nearest tenth if necessary.
Answer:
Step-by-step explanation:
9^2 + 15^2 = x^2
81 + 225 = x
17.49 = x
Rounded to the nearest tenth:
x = 17.5
PLEASE HELPPPPP :)!!!
Answer:
answer: 521
Hope that helps!
1
Write an algebraic
expression for:
Seven added to five
times a number
Write an algebraic expression for: seven added to five times a number
Answer:
7 + 5x
for brainiest:):):):):):):):)
Answer:
(a) 0.6
(b) 0.4
Step-by-step explanation:
If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made [tex]9+6=15[/tex] shots.
The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,
[tex]P([/tex]making a shot[tex])=\frac{9}{15}=\frac{3}{5}=0.6[/tex]
Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.
[tex]P([/tex]making a shot[tex])+P([/tex]missing a shot) [tex]=1[/tex]
[tex]P([/tex]missing a shot[tex])=1-P([/tex]making a shot[tex])[/tex]
[tex]P([/tex]missing a shot[tex])=1-0.6=0.4[/tex]
QED
Find the slope intercept form.
Answer:
y = 3x + 9
Step-by-step explanation:
y = 3x + 6
Parallel slope = 3
(-2, 3)
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 3(x + 2)
y - 3 = 3x + 6
y = 3x + 9
I need a answer please
65^2 = 39^2 + b^2
4225 = 1521 + b^2
b^2 = 4225 - 1521
b^2 = 2704
b = √2704
b = 52 inches
The Chess Club has 24 members, 14 girls and 10 boys. What is the ratio of
girls to boys in the Chess Club?
A. 3:4
O B. 7:5
O C. 5:7
Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?
How many possible outcomes are possible if you choose from 2 ice cream flavors, 3 toppings, and a waffle cone or a cup?
A) 6
B) 12
C) 2
D) 8
3 x 2 ?? mark brainlyyyyyy
Answer:
6
Step-by-step explanation:
Hope it helps kkkkkjjj9
Answer:
easy 3x2=6
Step-by-step explanation:
it is basically 2 groups of 3 or 3+3 which is 6
If the graph of a function increases as x increases and decreases
as x decreases, the degree must be _____
Answer:
Degree must be odd.
Step-by-step explanation:
In the end behavior of quadratic functions, the graph will either rise or fall as x increases infinitely. Likewise it will also rise or fall as x decreases infinitely.
Now, when x increases or decreases up to infinity(∞) and f(x) increases up to infinity (∞), it is said to be an even powered function and thus the degree is said to be even.
Similarly, when x increases up to infinity(∞) and f(x) increases up to infinity(∞), it is said to be an odd powered function and degree is odd.
IM SICK OF ALL THE FAKE LINKS! Can I get help?
Answer:
equation: 28 = 2h+ h + h or you could say 28 = 4h
h= 7
Step-by-step explanation:
since both lines are the same length they equal each other.
to get h = 7 you have to solve the equation you made.
28 = 4h
28/4 = 4h/4
7 = h
mark as brainliest please :)
Sonya and Jade are traveling from Barcelona to Madrid. They are deciding between 333 different types of transportation (bus, train, and plane) and 222 different times (morning and evening). They each created a display to represent the sample space of randomly picking a type of transportation and a time. Whose display correctly represents the sample space? Choose 1 answer: Choose 1 answer: (Choice A) A Sonya only (Choice B) B Jade only (Choice C) C Both (Choice D) D Neither Sonya's display: \quad Jade's display: \text{B}= \text{Bus} \\ \text{T}= \text{Train} \\ \text{P}= \text{Plane}B=Bus T=Train P=Plane \text{M}= \text{Morning} \\ \text{E}= \text{Evening}M=Morning E=Evening \quad
Answer:
Step-by-step explanation:
The answer is (Sonya only) don’t know the explanation but I literally got the answer right soo trust me.