Answer: the divergence of the vector fields at all points its defined is 0
Step-by-step explanation:
Given that;
div ( [x / (x²+ y² + z²)^1.5]i + [y / (x² + y² + z²)^1.5]j + [z / (x² + y² + z²)^1.5]k )
= d/dx [x / (x²+ y² + z²)^1.5] + d/dx [y / (x² + y² + z²)^1.5] + d/dx [z / (x² + y² + z²)^1.5]
= [1 / (x²+ y² + z²)^1.5] - [3x² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3y² / (x²+ y² + z²)^2.5] + [1 / (x²+ y² + z²)^1.5] - [3z² / (x²+ y² + z²)^2.5]
= [3 / (x²+ y² + z²)^1.5] - [(3x² + 3y² +3z²) / (x²+ y² + z²)^2.5]
= [2 / (x²+ y² + z²)^1.5] - [3 / (x²+ y² + z²)^1.5] = 0
therefore the divergence of the vector fields at all points its defined is 0
Your plan calls for using apprentice plumbers in place of fully licensed plumbers for some jobs. If the apprentice plumbers
are 60% as productive as licensed plumbers and licensed plumbers cost $60 per hour, what is the most you should pay for apprentice
plumbers?
A) $8
B) $36
C) $60
The payment made for apprentice plumbers is $36.
Given that,
There is 60% as productive as licensed plumbers.And, the cost of licensed plumbers is $60 per hour.Based on the above information, the calculation is as follows:
[tex]= 60\% \times \$60[/tex]
= $36
Therefore we can conclude that the payment made for apprentice plumbers is $36.
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If f(x) = 2x2 +5./(x-2), complete the following statement:
f(0) =
Answer:
F(6)=82
Step-by-step explanation:
PLZZZZZZZZZZZZZZ HURRYYY ..The graph represents the serving sizes of chow mein at a local restaurant. Which of these describes the unit rate? *
A: (5, 1250) where 1250 is the unit rate
B: (3, 750) where 3 is the unit rate
C: (1, 250) where 250 is the unit rate
D: (7, 1750) where 7 is the unit rate
Answer:
C. (1, 250) where 250 is the unit rate
Step-by-step explanation:
As you can see on the graph, the points keep going up by 250 serving sizes(grams). You also know that this is the unit rate, since the x-coordinate is 1.
Hope this helps! Love your profile pic by the way! :)
what is 6units to the right of -1 is
Answer:7
Step-by-step explanation:
Answer:
5Step-by-step explanation:
6 Units to the right :
-1 = 0 Units
0 = 1 Units
1 = 2 Units
2 = 3 Units
3 = 4 Units
4 = 5 Units
5 = 6 Units
Answer = 5Hope this helps! <3
Does this graph represent a function? Why or why not? A. No, because it is not a curve. B. No, because it fails the vertical line test. C. Yes, because it passes the vertical line test. D. Yes, because it has two straight lines.
Answer: B, it fails it he vertical line test.
Step-by-step explanation: If you made vertical line anywhere on the graph line, it would intersect at two points, making it fail the vertical line test.
What is the distance between the points (4, -2) and (-5,3)?
Answer:
(5,-9)
Step-by-step explanation:
use formula [tex]y^2-y^1/x^2-x^1[/tex]
so, 3-(-2)/-5-4
which gives you (5,-9)
Consider the two planes.
Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.
In the diagram, the only figure that could be parallel to line c is
line a.
line b.
line d.
plane Q.
Answer:
line d.
Step-by-step explanation:
Answer:
C) line d
Step-by-step explanation:
just took the quiz on edge 2020
How do I find a ratio table that looks like this
Answer:
Ok what is something times 4 to give you 24 that's 6 so what is something times 6 that will give you 18 thats 2 so then what times 6 will give you 60 thats 10 and the same thing for 5 ,5 times 6 equals 30.
Step-by-step explanation:
4/24 is dividing = 6
18/6 = 2
60/6=10
5 x 6 = 60
6,2,10,60 are your answers
Answer:
It's not that hard. Use your eyes to look for it.
Step-by-step explanation:
This problem Involves empirical probability. The table shows the breakdown of 87 thousand Single parents on active duty In the U S. military In a certain year. All numbers are In thousands and rounded to the nearest thousand. Use the data In the table to find the probability that a randomly selected single parent in the U S. military IS In the Army.
Army Navy Marine Corps Air force Total
Male 27 22 4 11 64
Female 11 7 1 4 23
Total 38 29 5 15 87
The probability that a randomly selected single parent in the U S military is In the Army is:_______
A certain lottery consists of selecting five different numbered balls from numbered 1 to 16 white balls and one from 1 to 12 gold Mega balls. A player wins the jackpot by matching all five numbers drawn from white balls (1 through 16) and matching the number on the gold Mega Ball (1 through 12). What is the probability of winning the jackpot?
The probability of winning the Jackpot is:______
Answer:
1.) 38/87
2.) 1 / 56784
Step-by-step explanation:
Given the data :
_____Army_Navy_ MarineCorps_ Air force_ Tot
Male__ 27___ 22____ 4________11 ______64
Female 11____ 7 _____1 _______ 4 ______23
Total _ 38___ 29____ 5_______ 15 ______87
The probability that a randomly selected single parent in the U S military is In the Army is:_______
P = number of required outcome/ Total possible outcomes
P(single parent) :
Number of required outcomes = (number of single parents in the army = 38000
Total number of single parents in the military = 87000
P(single parent in army) = 38000 / 87000 = 38/87
B) To Win Jackpot:
16C5
Using the combination formula:
n! / (n-r)!r!
Using calculator :
16C5 = 4368
Winning number set = 1
Probability of winning number set = 1 / 4368
Probability of picking a correct (1) gold mega ball
Number of gold mega balls = 13
= 1/13
1/4368 * 1/ 13 = 1 / 56784
For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? What is the probability that the number of days of vacation taken is more than 21 days? Discuss the solutions and an explanation. Respond to your peers’ posts and offer your feedback on this topic.
Answer:
The answer is below
Step-by-step explanation:
The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days?
Answer: Z score is used in statistics to determine by how many standard deviations the raw score is above or below the mean. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}\\ \\x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]
Given that: μ = 14, σ = 3
a) For x < 10
[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{10-14}{3}=-1.33[/tex]
From the normal distribution table, P(x < 10) = P(z < -1.33) = 0.0918
b) For x > 21
[tex]z=\frac{x-\mu}{\sigma}\\ \\z=\frac{21-14}{3}=2.33[/tex]
From the normal distribution table, P(x > 21) = P(z > 2.33) = 1- P(z < 2.33) = 1 - 0.9901 = 0.0099
what is simplify the expression.
2/3y+1/6y+y =?
-(7x + 9) = -6(x + 4)
Answer:
x = 21
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x = 21
A student is told that her score on an exam is at the 50th percentile of the distribution of scores. This means that:
Answer:
It means her score is the median of the distribution of score for that examination
Step-by-step explanation:
Basically 50th percentile of a distribution is the median of a distribution hence from question given that the student score falls on the 50th percentile of the distribution it mean that her score is the median of the distribution of score for that examination
What is the solution to the system of equations graphed below?
Answer:
(-2, 3)
Step-by-step explanation:
store has a sale for 25% off all items. The sale price of an item is $16. Which equation would calculate the original price of the item?
A. y-25=16 B.0.75y=16 C. y+75=16 D. 0.25y=16
Answer:
25
Step-by-step explanation:
The correct equation to calculate the original price of the item is,
⇒ 0.75y = 16
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
Store has a sale for 25% off all items.
And, The sale price of an item is $16.
Now, Let the original price of an item = y
So, We can formulate;
⇒ y - 25% of y = 16
⇒ y - 0.25y = 16
⇒ 0.75y = 16
Thus, The correct equation is,
⇒ 0.75y = 16
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What should be completed first when simplifying 2(x - 3) + 6(4x + 1)?
Answer:
Step-by-step explanation:
Distribute first!
2 (x-3) + 6(4x +1)
Then add your like terms:
2x-6 + 24x +6
24x + 2x/ 6-6
ANSWER: 26x
Answer:
evaluate the terms within the parenthesis
Step-by-step explanation:
The container of orange juice held 5 and one-third cups of juice. If a serving of orange juice is StartFraction 7 Over 8 EndFraction of a cup of orange juice, to the nearest whole serving, how many servings were in the container?
Answer:
i need help on my work because im lost
Answer:
6
Step-by-step explanation:
I don't know how I got the answer but it was right so...
The recipe calls for 4 cups of broccoli, but Roselyn has only a 2/3 cup measure. How many measuring cups of broccoli should she add?
Answer:
6
Step-by-step explanation:
If the recipe calls for 4 cups of broccoli and she only has 2/3 cup measure you have to think how many 1/4 are in a cup there are 3 1/4 in 1 cup and you count 1/4, 2/3, 1 cup. So...you have to count the cups is 6.
hope this helps I maybe be wrong sorry☺️
19. Daunte's owes him Dad $9.00. He earns $14.00 doing chores. How much did Daunte
receive after his Dad took out what he owed him?
Mt. Everest, the highest elevation in Asia, is 29,028 ft above sea level. The Dead Sea, the lowest elevation, is 1,312 ft below sea level. What is the difference in the elevations? Choose the correct equation and answer. I need the answer immediately!
Answer:
30,340 ft
Hope this helps.
2(3-2x)
32x-3(x+1) for x=-2
5
Square Root of 105
I need estimation & Process
I do not want 10.246950766 I need the Estimation of it
Answer:
10.25 (4 significant figures)
10.2 (3 significant figures)
hope this helps. :)
Find the slope of the line passing through the points (4,4) and (-7,-3)
Answer:
i got -7/-11 but it might be wrong :/ sorry
Step-by-step explanation:
Each day, Emily reads 40 pages
of a 560-page book. Write a linear
equation to represent the number
of pages Emily has left to read
after x days.
Answer:
y=560-40x
Step-by-step explanation:
you start with 560 pages and you read 40 pages a day so you take away 40 pages from the total per x.
A study of 1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time. What is the probability of a flight arriving on time? 399/500 500/399 101/500 500/101
Answer:
399/500
Step-by-step explanation:
the reason for this is because the area of the devision "1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time" means that this is divided into places to make a full example
The probability of event of a flight arriving on time will be -
P(A) = 399/500.
What is Probability?
Probability is the extent to which an event is likely to occur and is measured by the ratio of the favorable cases to the total number of cases possible.
Given is a study of 1000 randomly selected flights of a major airline which showed that 798 of the flights arrived on time.
Let event A represents the arrival of flight on time.
Total number of favorable cases = 798
Total number of possible cases = 1000
Then the probability of event A will be -
P(A) = 798/1000 = 399/500
Therefore, the probability of event of a flight arriving on time will be -
P(A) = 399/500
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What is the equation of this graphed line?
A graph with a line running through coordinates (-4, -6) and coordinates (2, 6)
Enter your answer in slope-intercept form in the box.
50 BRIANLIEST
Answer:
-6-6/2-(-4)=-2
slope=-2
Step-by-step explanation:
I think it’s 125 but idk yet
Answer:
5
Step-by-step explanation:
5*5=25
25*5=125
substitute x=3 into 3x-x²
Answer:
i wish i could help
Step-by-step explanation:
Select the correct answer.
Which expression simplifies to 3V11?
A. 14
B. 20
C. 33
D. 199
In which pair do both decimals represent rational numbers?
O A. 2.71828182845904523536... and 0.1222
O B. 3.141592653589793238... and 0.684
O C. 3.141592653589793238... and 0.1222...
O D. 0.684 and 0.1222...
Answer:
Option (B)
Step-by-step explanation:
Properties of a rational number:
1). A decimal number which has the repeating numbers after decimal is a rational number.
Example: 2.134134134......
Here 134 is repeating after decimal so the number is a rational number.
2). A decimal number which can be written as a fraction is a rational number.
Example: 0.25 = [tex]\frac{1}{4}[/tex]
Here 0.25 can be written as a fraction [tex]\frac{1}{4}[/tex] therefore, its a rational number.
In the given options,
Option A
No repeating numbers in first number therefore its an irrational numbers.
Option B
0.684 = [tex]\frac{171}{250}[/tex]
Option C
First number is an irrational number.
Option D
First number is an irrational number.
Therefore, Option (B) is the answer.
Answer:D
O D. 0.684 and 0.1222...