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Express the radical using the imaginary unit I. Express your answer in simplified form
-22
Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) What is the summation notation for the arithmetic series? Enter the correct values for x, y, and z.
x =
y =
z =
Answer:
total -70
Step-by-step explanation:
x =18
y=-28
Z = -60
An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
The Total value is = -70
x = 18
y = -28
Z = -60
Calculation of Arithmetic SeriesAn Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
1st an 2nd element difference is = 14 - 6 = 8
2nd and 3rd element difference is = - 6 - 2 = -8
3rd and 4th element difference is = - 2 + 10 = 8
4th and 5th element difference is = -10 + 18 = 8
The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.
Now, Proof of x,y and z = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
Therefore, The value is = total -70
x = 18
y = -28
Z = -60
Find more information about Arithmetic Series here:
https://brainly.com/question/24295771
A Ferris wheel can accommodate 60 people in 20 minutes. How many people could ride the Ferris wheel in 2 hours ? What was that rate per hour?
Answer:
360 total
60×3×2=360
180 per hour
A box of cereal contains 725 grams of cereal. To make a bowl of cereal.r, grams of cereal is removed from the box What equation models the relationship between the quantity of cereal removed, r, and the quantity of the cereal in the box, b?
A: b = 725 - r
B: b = 725r
C: r= 725b
D: r = 725-b
Answer:
A.
Step-by-step explanation:
b=725-r
Classify the equation as having one solution, infinitely many solutions or no
solution. *
9r + 5 – 4 = 4r + 5r – 12
Choose
Answer:
No solutions
Step-by-step explanation:
Simplify both sides of the equation as much as possible:
9r + 5 - 4 = 4r + 5r - 12
9r + 1 = 9r - 12
Both sides have "9r" which when cancel out, leave the equation as:
+1 = -12
This means there are no solutions.
A total of 5.9 percent of the prime time viewing audience watched shows on ABC, 7.6 percent watched shows on CBS, 5.5 percent on Fox, 6.0 percent on NBC, 2.0 percent on Warner Brothers, and 2.2 percent on UPN. A total of 70.8 percent of the audience watched shows on other cable networks, such as CNN and ESPN. You can find the latest information on TV viewing from the following website:
Develop a pie chart or a bar chart to depict this information. Write a paragraph summarizing your findings.
Answer:
Step-by-step explanation:
Given the data :
ABC = 5.9%
CBS = 7.6%
FOX = 5.5%
NBC = 6.0%
Warner Brothers = 2%
UPN = 2.2%
Other Cable network = 70.8%
From. The piechart distribution, it could be seen that majority of prime time audience watched on other cable network such as CNN and ESPN which Is more than 2 times the percentage that watched on channels such as Fox, ABC, CBS, NBC, Warner Brothers, and UPN which polled about 30% of viewers.
What is 72 divided by 12
Answer:
6
xmxnznfnsmfbxdkdjdjf
Answer:
6
Step-by-step explanation:
72 ÷ 12 =6
Have a nice dayyy
Can someone help me on this place I will mark brianliest ( also in note if you dont want to help then dont help me and if your going to be rude like saying do it yourself please keep that to yourself and be considerate with your manners thank you ^^
Answer:
That is an entire worksheet. Also just download PhotoMath on your phone and it will give you the answers.
Step-by-step explanation: I'll get you started
1) 1
2) 2
3) 4
4)
5) 20
6) 1
7) 2
8) 20
Answer:
1. 1/2
2. 2/3
3. 4/7
4. 10/25
5. 20/40
6. 1/10
7. 2/6
8. 20/90
9. 27/36
10. 1/6
11. ?
12. 2/5
13. 2/3
14. 11/12
15. 17/25
16. 2/8
17. 6/7
18. 42/70
Step-by-step explanation:
(3.24 Socks in a drawer). In your sock drawer you have 4 blue, 5 gray, and 3 black socks. Half asleep one morning you grab 2 socks at random and put them on. Find the probability you end up wearing
Answer:
a) Probability of ending up wearing 2 blue socks is 1/11.
b) Probability of ending up wearing no grey socks is 7/22.
c) Probability of ending up wearing at least 1 black sock is 5/11.
d) Probability of ending up wearing a green sock is 0.
e) Probability of ending up wearing matching socks is 19/66.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
In your sock drawer, you have 4 blue socks, 5 gray socks, and 3 black ones. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability you end up wearing: a) 2 blue socks. b) no gray socks. c) at least 1 black sock. d) a green sock. e) matching socks.
The explanation of the answer is now given as follows:
The following are given in the question:
n(B) = number of Blue socks = 4
n(G) = number of Gray socks = 5
n(K) = number of black socks = 3
Therefore, we have:
n(T) = Total number of socks = n(B) + n(G) + n(K) = 4 + 5 + 3 = 12
To calculate a probability, the following formula for calculating probability is used:
Probability = Number of favorable outcomes / Number of total possible outcomes ……. (1)
Since this is a without replacement probability, we can now proceed as follows:
a) 2 blue socks
P(B) = Probability of ending up wearing 2 blue socks = ?
Probability of first pick = n(B) / n(T) = 4 / 12 = 1 / 3
Since it is without replacement, we have:
Probability of second pick = (n(B) – 1) / (n(T) – 1) = (4 – 1) / (12 – 1) = 3 / 11
P(B) = Probability of first pick * Probability of second pick = (1 / 3) * (3 / 11) = 1 / 11
b) no gray socks.
Number of favorable outcomes = n(B) + n(K) = 4 + 3 = 7
P(No G) = Probability of ending up wearing no gray socks = ?
Probability of first pick = Number of favorable outcomes / n(T) = 7 / 12
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (7 – 1) / (12 – 1) = 6 / 11
P(No G) = Probability of first pick * Probability of second pick = (7 / 12) * (6 / 11) = 7 / 22
c) at least 1 black sock.
Probability of at least one black sock = 1 - P(No K)
Number of favorable outcomes = n(B) + n(G) = 4 + 5 = 9
Probability of first pick = Number of favorable outcomes / n(T) = 9 / 12 = 3 /4
Since it is without replacement, we have:
Probability of second pick = (Number of favorable outcomes – 1) / (n(T) – 1) = (9 – 1) / (12 – 1) = 8 / 11
P(No K) = Probability of first pick * Probability of second pick = (3 / 4) * (8 / 11) = 24 / 44 = 6 / 11
Probability of at least one black sock = 1 - (6 / 11) = 5 / 11
d) a green sock.
n(Green) = number of Green socks = 0
Since, n(Green) = 0, it therefore implies that the probability of ending up wearing a green sock is 0.
e) matching socks.
This can be calculated using the following 4 steps:
Step 1: Calculation of the probability of matching blue socks
P(matching blue socks) = P(B) = 1 / 11
Step 2: Calculation of the probability of matching gray socks
P(matching green socks) = Probability of matching gray socks = ?
Probability of first pick = n(G) / n(T) = 5 / 12
Since it is without replacement, we have:
Probability of second pick = (n(G) – 1) / (n(T) – 1) = (5 – 1) / (12 – 1) = 4 / 11
P(matching gray socks = Probability of first pick * Probability of second pick = (5 / 12) * (4 / 11) = 20 / 132 = 5 / 33
Step 3: Calculation of the probability of matching black socks
P(matching black socks) = Probability of matching green socks = ?
Probability of first pick = n(K) / n(T) = 3 / 12 = 1 / 4
Since it is without replacement, we have:
Probability of second pick = (n(K) – 1) / (n(T) – 1) = (3 – 1) / (12 – 1) = 2 / 11
P(matching black socks) = Probability of first pick * Probability of second pick = (1 / 4) * (2 / 11) = 2 / 44 = 1 / 22
Step 4: Calculation of the probability of ending up wearing matching socks
P(matching socks) = Probability of ending up wearing matching socks = ?
P(matching socks) = P(matching blue socks) + P(matching grey socks) + P(matching black socks) = 1/11 + 5/33 + 1/22 = (6 + 10 + 3) / 66 = 19/66
(easy points)
If it is now November, what month will it be in 17 months? *
November
January
March
April
Answer:
April
Step-by-step explanation:
If you add 12 months it will be November once more. Then add 5 months which is April.
The distribution of the amount of money spent by first-time gamblers at a major casino in Las Vegas is approximately normal in shape with a mean of $600 and a standard deviation of $120. According to the standard deviation rule, almost 84% of gamblers spent more than what amount of money at this casino?
A. $360
B. $480
C. $600
D. $720
E. $840
Answer:
$720
Step-by-step explanation:
Given :
Mean, m = 600
Standard deviation, s = 120
Z = (x - m) / s
P(Z > x) = 84%
P(Z > x) = 0.84
Zscore corresponding to P(Z > x) = 0.84 will be -0.994
Hence,
-0.994 = (x - 600) / 120
120 * -0.994 = x - 600
119.28 = x - 600
119.28 + 600 = x
719.28 = x
Hence,
X = $720
Donovan is training for a marathon. He currently can run 1 lap around the track in 0.85 minutes. How long will it take him to run 12.5 laps?
ASAP
Answer:
10.625
Step-by-step explanation:
Answer:
10 minutes and 37.5 seconds
Step-by-step explanation:
0.85 is 51 seconds. I will be using this because it is easier for me.
Multiply 51 • 12 = 612 seconds for 12 laps. Divide 612 ÷ 60 = 10.2. You get 10.2 minutes. This is 10 minutes and 12 seconds for 12 laps.
Divide 51 by 2 to find how long it takes for 1/2 a lap. You will get 25.5 seconds for half a lap.
Add them together: 10 min 12 sec + 25.5 sec = 10 minutes and 37.5 seconds
Can someone help me with these math problems?
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour. What is the temperature in the city at 4 am? *
20 degrees
-3 degrees
7 degrees
-6 degrees
Answer:
it is 3 ... 75 percent sure
It takes Brian 7 weeks to save
420 dollars. At this rate how
much will he have saved after ||
weeks?
Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants to put an equal number of blueberries and an equal number of raspberries into each cup. She uses all the berries. How many cups does she make {Use G.C.F.}
Answer:
Number of blueberries = 36
Number of raspberries = 45
You need to find the Number in Each.
HCF Of 36 and 45 =is 9
This answer is
36/9
The exact same experiment was conducted 14 times. How many times should the results have been similar for them to be valid?A.8B.5C.14D.7
Answer:
I would have to say C.14
Step-by-step explanation:
Because if you are running the same exact emperiment with the same exact materials everytime then you should get the same outcome.
Hope this helps! : D
Tracy had made a new budget that included all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment write and solve an inequality be sure to identify your variable
Answer:
t - b >= e
Step-by-step explanation:
There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as
Budget = b
We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.
t - b >= e
You can now plug in the actual values for t and b to find out how much you would have left for entertainment.
cómo simplificar 2/3 paso a paso
Answer:
No sé pude simplificar ya que ambos no tiene divisores en común. Pero si lo deseas dividir daría como resultado: 2 ÷ 3 = 0.6666666667
The simplified expression is 0.67.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
2/3
This can be written in decimal form.
Now,
2/3
3 ) 2 ( 0.66666
20
18
20
18
20
18
20
Thus,
The simplified expression is 0.67.
Learn more about fractions here:
https://brainly.com/question/24370499
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The complete question.
How to simplify 2/3 step by step
Whitney starts the engine on her small private airplane. The engine drives a propeller with a radius of 6.5 feet and its centerline 10.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 850 revolutions per minute. The height of one propeller tip as a function of time is given by h = 10.5 + 6.5 sin(850t), where h is the height in feet and t is the time in minutes. Find h when t = 2 minutes.
a.
4.1 ft
b.
9.4 ft
c.
16.9 ft
d.
11.6 ft
Answer:
4.1 ft
Step-by-step explanation:
All we need to do is substitute "t" as 2 minutes to determine the height:
h = 10.6 + 6.5 sin(850*2),
Remove full rotations of 360 until the angle is between 0 and 360° :
h = 10.6 + 6.5 sin(1700) = 10.6 + 6.5 sin(260)
Now evaluate sin(260) :
h = 10.6 - 6.40125... = 4.1987496
Your solution should be 4.1 ft (though it actually should be 4.2 ft)
In ΔQRS, q = 50 cm, s = 27 cm and ∠S=110°. Find all possible values of ∠Q, to the nearest 10th of a degree. PLS
Answer:
2000
Step-by-step explanation:
2hwhjfwftwrd ggg gggggg gggggggggg ggggg
primitive of (x+1)e^x
[tex]\int{(x+1)e^x} dx[/tex]
Integrate by parts: [tex]\int{fg'} = fg - \int{f'g}[/tex], where [tex]f = x+1[/tex], [tex]g' = e^x[/tex], [tex]f' = 1[/tex] and [tex]g = e^x[/tex]
[tex]\int{(x + 1)e^x} dx = (x+1)e^x - \int{e^x} dx\\= (x + 1)e^x - e^x + C = xe^x + C[/tex]
which equation is it please help me !!
Answer:
y-8x=-2
Step-by-step explanation:
so the slope of the perpendicular line has to the negative receprical of the slope of this line which gives
-(-8)=8
let us put all the equations into slope intercept form
a.y=-8x+6
b.y=-1/8x-5
c.y=1/8x-5
d. y=8x-2
y=mx+b
as you can see the only line with a slope of 8 is y-8x=-2
PLEASE HURRY HELP ME DUE IN 5 MIN WILL MARK BRANCH
9514 1404 393
Answer:
parallel
Step-by-step explanation:
We can put both equations into slope-intercept form to make comparison easier.
-3x = 3 - y ⇒ y = 3x +3
3 +y = 3x -2 ⇒ y = 3x -5
These lines have the same slope, but different y-intercepts.
The lines are parallel.
the product of Diego's height and 3is 57
use the variable d to represent Diego's height
Answer:
Step-by-step explanation:
Let diago's height be d
d into 3=57
3d=57
d=57/3
d=19
diago's height=19 units
2y - 2x = 8
y + 6x = 11
If (1,5) is the solution to the system of equations above, what is the value of 5y?
Answer:
25
plz mark brainliest
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Given f (x) = 2x3 + 5x2 – 3x and g(x) = 8x – 7, find (f X g)(x).
Step-by-step explanation:
I don't know what you really mean by 2x3 and 5x2 but if the x there's is multiplication sign then your answer is 149x - 24x^2 - 112.
O Light travels at the speed of M/s in how many miles does light travel in 30 seconds
Answer:
C
Step-by-step explanation:
Formular for speed is distance
Time
1.9×10^5=distance
30
Distance= 5700000
Distance=5.7×10^6
marta has a lower probability of winning than Elena has. Which could be the outcome that marta needs to win the game? select three options.
Answer:pic
Step-by-step explanation:
-1.375 as a mixed number