Answer:
4/7
Step-by-step explanation:
A vector field F is shown. Use the interpretation of divergence derived in this section to determine whether div F is positive or negative at P_1 and at P_2.a. div F is negative at both P_1 and P_2. b. div F is positive at P_1 and negative at P_2. c. div F is positive at both P_1 and P_2. d. div F is negative at P_1 and positive at P_2.
As pre the concept of vector, div F is negative at P1 and divF is positive at P2.
In math the term vector refers the quantity that has both magnitude and direction but not position
Here we have to determine whether div F is positive or negative at P1 and at P2.
Let us consider if div F(P)>0, the net flow is outward near P and P is called a source and if div F(P)<0, the net flow is inward near P and P is called a sink.
Here by observing the graph of F, we have identified that the vectors end near the P1 are the larger than the vectors starts near the point P1,
So, the net flow is inward near P1 and div F is negative at P1
Where P1 is called a sink
Whereas, by observing the graph of F we have identified that the vectors end near P2 are shorter than the vectors starts near the point P2,
So, the net flow is outward and div F is positive at P2 and the P2 is called a source
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David's monthly bank statement showed the following deposits and withdrawals:
$77.25,-$50.11, -$25.45, $79.83, $29.47
If David's balance in the account was $34.35 at the
beginning of the month, what was the account balance at the
end of the month?
Answer:
Step-by-step explanation:
Take the sum of all the components and you will get the account balance
+$77.25
-$50.11
-$25.45
+$79.83
+$29.47
+$34.35 (also add the starting balance
= $145.34
How many two or three-digit numbers can you make using the digits 1, 7, 8, 5, and 2?
Answer:
the are so many numbers but here's one of them
Step-by-step explanation:
Since the number is less than 700, it cannot begin with a 7 or an 8.
So the hundreds digit can only be a 2 or a 5.
Now the tens digit can be any digit not occupying the hudreds digit. So there would be 3 possibilities, and there remain two possibilities for the units digit.
Hence, the number of such numbers is 2x3x2 which is 12.
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 will be 150.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
The number of two-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5
⇒ 25
The number of three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 5 x 5 x 3
⇒ 125
The number of two-digit or three-digit numbers that can be made using the digits 1, 7, 8, 5, and 2 is calculated as,
⇒ 125 + 25
⇒ 150
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Which is the equation of the line with slope 0 passing through the point (-3, -1)?
10
10
U
U
g(x)
f(x)
8
10
-2
10-8
2
-108
--2
2
4
-8
- 10
If g(x) = f(x + k), what is the value of k?
Answer: -6
Step-by-step explanation:
The graph of g is the graph of f translated left 6 units.
Find the volume in cm³ of a length of pipe which has these measurements.
Volume of a cylinder = πr²h
π = 3.14
the volume of a rectangular prism is 10 cubic feet. what could the dimensions of the prism be
Answer: 2x5x1, 1x10x1 (in any order) and any 3 multiples that make 10
Step-by-step explanation:
Answer:
There are multiple possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet. Here are some possible solutions:
A rectangular prism with dimensions of 1 ft x 2 ft x 5 ft (length x width x height) would have a volume of 10 cubic feet, since 1 x 2 x 5 = 10.
A rectangular prism with dimensions of 2 ft x 1 ft x 5 ft (length x width x height) would also have a volume of 10 cubic feet, since 2 x 1 x 5 = 10.
A rectangular prism with dimensions of 0.5 ft x 1 ft x 20 ft (length x width x height) would also have a volume of 10 cubic feet, since 0.5 x 1 x 20 = 10.
A rectangular prism with dimensions of 5 ft x 1 ft x 2 ft (length x width x height) would have a volume of 10 cubic feet, since 5 x 1 x 2 = 10.
There are infinitely many other possible sets of dimensions for a rectangular prism with a volume of 10 cubic feet.
A line passes through the points (5,21) and (6,22).
Hey there!
The formula is: y₂ - y₁ / x₂ - x₁
y₂ = 22
y₁ = 21
x₂ = 6
x₁ = 5
Your equation: 22 - 21 / 6 - 5
22 - 21 = 1 ← numerator (TOP number)
6 - 5 = 1 ← denominator (BOTTOM number)
We can say that the line that passes through lines (5 , 21) (6 , 22): 1/1
(or you can simply 1 because 1 ÷ 1 gives you 1)
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Which is the graph of f(x) =
4(3)?
y
y
7
6
5
5
4
4
3
3
3
2
2
2
-1
1
+
-3 -2 -14
1
2
3
4
5
8
-3 -2 -1
1
2
3
4
5
8
-3 -2 -2
1
2
3
4
5
6
2
2
ܕܝܚ.
جسمة
The area of a triangle is 154 square inches. The base is 14 inches. What is the height in inches? Do not include units in your answer.
The height of the triangle is, 22 units.
WE know that triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that the area of a triangle is 154 square inches. The base is 14 inches.
Now, We get;
Base = 14 units
Height =h units
We know that;
Area of triangle = 1/2 x base x height
154 = 1/2 x 14 x h
h = 154 / 7
h = 22
Thus, The height is, 22 units.
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tickets for a concert have been in increadbibly high demand. and as the date for the concert draws closer the price of tickets increases exponentially. the cost of a pair of concert tickets was $96 yesterday and today it is $108.
what is the multiplier
what is the daily percent rate?
using the cost of a ticket today as your initial value write an exponential equation that models this situation
what will be the cost of a pair of concert tickets in one week from today
what was the cost of a pair of tickets three days ago?
Answer:
multiplier 1.125percent rate 12.5%p(t) = 108·1.125^tp(7) = $246.32p(-3) = $75.85Step-by-step explanation:
a) The daily multiplier is 108/96 = 1.125
b) The daily percentage change is 1.125 -1 = .125 = 12.5%
c) The function can be written as ...
price = (initial value)·(daily multiplier)^t
p = 108·1.125^t
d) for t=7, put the number in and do the arithmetic.
108·1.125^7 ≈ 246.32 . . . dollar cost in a week
e) same deal, for t=-3
108·1.125^-3 ≈ 75.85 . . . .dollar cost 3 days ago
select all the expressions that have a value of 24
Answer:
A and D
Step-by-step explanation:
A: 6 x (2 + 2)
6 x (4)
24; True
B: 48 ÷ 4 x 2
48 ÷ 8
6; False
C: 3 x (72 ÷ 8)
3 x 9
27; False
D: 36 - 3 x 4
36 - 12
24; True
E: 4 x 3 + 3
12 + 3
15; False
Answer:
A. and 2
Step-by-step explanation:
Both equal 24 using
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
complement of 0.7253
Answer:
Step-by-step explanation:
if it is converting its 7253/10000
to percent 72.53
scientific notation is 7.253 *10-1 the -1 is on top of the 10
The sum of two numbers is 15. One of the
numbers is 12 times the other. Find the
bigger number.
Answer:
The Sum of two number is 15: x + y = 15
One of the numbers is 12 times the other: x = 12y:
System of equations:
x + y = 15
x = 12y
Plug x = 12y into equation one(x + y = 15)
12y + y = 15
13y = 15
y = 15/3
y ≈ 1.15
Now we know x = 12y
x = 12(15/13) = 180/13
x = 180/13
x ≈ 13.85
The biggest number is x = 180/13.
8. Mrs. Shin has a piece of lumber that is 11- inches wide. She plans to split the width of lumber into 3 equal pieces. How wide will each piece be?
the answer is 8
Step-by-step explanation:
just minus 11by 3
A scale on a map shows that 3 centimeters represents 10 kilometers. what nuber of centimeters on the map represents an actual distance of 25 kilometers
431.67 In a different number, the 4 represents a value which is one-tenth of the value of the 4 in the number above. What value is represented by the 4 in the other number?
So the different number has a 4 with a value of 40.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To solve this problem, we need to first identify the place value of the digit 4 in the given number.
The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.
According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:
400/10 = 40
To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.
Therefore, So the different number has a 4 with a value of 40.
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During one month, 4/10 of Lake Okeechobee is covered in a harmful algal bloom. By the next month, Lake Okeechobee is 90% covered. By how many times does the algal bloom increase?
If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.
In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.
Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:
(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times
Therefore, the algal bloom increased by 2.25 times.
My name is nessalovetrillo i am prepping and studying to test out of my algebra class this is for a study guide Please see attached picture
Given:
S={(5,6),(-2,-9),(-9,6)}
To find the domain and range:
The domain is,
{-9, -2, 5}
The range is,
{-9, 6}
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is (1 point) a −7 b negative 1 over 7 c 1 over 7 d 7
Heya !
Given two points A ( 8 , -4 ) and B ( 1 , - 5 )
To find - slope of line AB
Solution -
\( Slope = \frac{y_{2}-y_{1}}{x_{2} - x_{1}} \\ \\ \dashrightarrow \frac{ -5 - (-4 )}{ 1 - 8 } \\ \\ \dashrightarrow \frac{ - 5 + 4 }{ 1 - 8 } \\ \\ \dashrightarrow \frac{-1}{-7} \\ \\ \dashrightarrow \frac{1}{7}\)
Hence ,
Option ( c ) is correct.
Hope helpful ~
Find the mean absolute deviation (MAD) of the data in the pictograph below.
Answer:
its 1
Step-by-step explanation:
in the same sq garden plot (w/ an area of 400 sq ft) deer fencing priced at $1.50 per ft is to be installed around the plot. if sales tax is 7% how much will the fencing material cost? do not round
Given that in the same square garden plot (with an area of 400 sq ft);
\(\text{Area A = 400ft}^2=l^2\)The length of the sides of the square garden is;
\(\begin{gathered} l^2=400 \\ l=\sqrt[]{400} \\ l=20ft \end{gathered}\)The perimeter of the square field is;
\(undefined\)how many three-letter "words" can Bob make using just these letters?
Answer:
two
Step-by-step explanation:
the two "words" Bob can make using the three letters t, o, and a are;
oat and tao
hope this helps
Please answer this correctly
Answer:
7 people
Step-by-step explanation:
Count the x’s that corresponds in the 3 section. Make sure to count next time!
Answer:
15
Step-by-step explanation:
at least means that number or more
Add up the number of x's for 3 and 4
3: 7
4: 8
total : 15
15 people took 3 or more photographs
pls helppp this is so confusinggg
Answer: .025
Step-by-step explanation: we first have to find the distance between each term we divide 12/5 by 6 you have to change it into multiplication so you invert is to 12/5 times 1/6 you then get 12/30 you reduce that to become 2/5 if you want to test this to make sure it is right then you can. you then use a formula but I can't remember it so then you can just multiply it several times to find the answer. you get the answer by round from the thousandths
help!! its algebra..
Answer:
The correct answer to this is "Change in Y over Change in X"
Step-by-step explanation:
Change in Y over Change in X is the basis of the saying "rise over run". When you divide the rise by the run you get the slope.
I hope this helps you out!
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
c. 952.4 in²
Step-by-step explanation:
The figure can be decomposed into a square, a trapezoid and a semicircle
Find the area of each to determine the area of the figure.
✔️Area of square = s²
s = 13 in
Area of square = 13² = 169 in²
✔️Area of trapezoid = ½(a + b)h
a = 13 in
b = 30 in
h = 20 in
Area of trapezoid = ½(13 + 30)20
= 430 in²
✔️Area of semicircle = ½(πr²)
r = ½(30) = 15 in
Area = ½(π*15²)
Area ≈ 353.4 in²
✅Area of the figure = 169 + 430 + 353.4
= 952.4 in²
Find the intersection point of the straight line equations y = 2x-13 and y = -5x+1
Answer:
(2,-9)
Step-by-step explanation:
Equation Form:
x = 2
y = − 9
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation: