We're given that
[tex]\displaystyle \int_{C_1} f(x,y,z) \,ds = 43.1[/tex]
and
[tex]\displaystyle \int_{C_2} f(x,y,z) \,ds = -15.9[/tex]
The closed loop formed by joining C₁ and C₂ is then C₁ U (-C₂), which is to say we follow C₁ normally, then traverse C₂ in the opposite direction. Then
[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = \int_{C_1} f(x,y,z) \,ds + \int_{-C_2} f(x,y,z) \,ds[/tex]
[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = \int_{C_1} f(x,y,z) \,ds - \int_{C_2} f(x,y,z) \,ds[/tex]
[tex]\displaystyle \int_{C_1 \cup (-C_2)} f(x,y,z) \,ds = 43.1 - (-15.9) = \boxed{59}[/tex]
Nate worked for 12 hours last week. He took out $33 to put in his savings account and still had $99 to spend. Write an equation to find how much money Nate made per hour.
Answer:
Do 99 / 12 = 8.25 Then to check if it works, do the opposite operation and multiply 8.25 x 4 = 33 so it works. The unit rate is $8.25 per hour.
99 / 12 = p or 99 / 12 = 8.25
Step-by-step explanation:
BRAINLIEST?
Answer:
33+99=132 132/12=11
Step-by-step explanation:
Given the points (-2, 6) and (0, -7) find the slope.
Answer:
-13/2
or
-6.5
Step-by-step explanation:
yeah-ya.......... right?
Issac wanted to make a homemade bubble solution to play with his friends. A bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap. If he had 2/3 cup of soap how many cups of warm water will he need
A- 1/12
B- 1 1/3
C- 5/13
D- 8
Answer: 8/3
You first do 4x2 than you would have to divide by 3. 4x2*3
The number of cups of warm water need for 2/3 cup of soap to make solution is [tex]5\frac{1}{3}[/tex]. Therefore, option C is the correct answer.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, a bubble recipe he found requires 4 cups of warm water for every 1/2 cup of soap.
Let the number of cups of warm water need for 2/3 cup of soap be x.
Now, the proportion is
4:1/2 :: x:2/3
1/2 x=4×2/3
x/2=8/3
x=16/3
x= [tex]5\frac{1}{3}[/tex]
Therefore, option C is the correct answer.
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Given that 27^1/3= 9^14 + 3^x+1
find the exact value of x
If the given equation is
[tex]27^{\frac13} = 9^{14} + 3^{x + 1}[/tex]
first simplify the left side using the fact that 27 = 3³:
[tex]27^{\frac13} = (3^3)^{\frac13} = 3^{\frac33} = 3^1 = 3[/tex]
and on the right side, 9 = 3²:
[tex]9^{14} = (3^2)^{14} = 3^{2\times14} = 3^{28}[/tex]
So we have
[tex]3 = 3^{28} + 3^{x + 1}[/tex]
Next,
[tex]3^{x+1} = 3^x \times 3^1 = 3 \times 3^x[/tex]
so that
[tex]3 = 3^{28} + 3 \cdot 3^x[/tex]
and dividing both side by 3 gives
[tex]1 = 3^{27} + 3^x[/tex]
Isolate 3ˣ :
[tex]3^x = 1 - 3^{27}[/tex]
Solve for x by taking the base-3 logarithm of both sides:
[tex]\log_3(3^x) = \log_3(1-3^{27})[/tex]
[tex]x \log_3(3) = \log_3(1-3^{27})[/tex]
[tex]\boxed{x = \log_3(1-3^{27})}[/tex]
(NO LINKS AND DON'T COMMENT IF YOU DON'T KNOW)Compare the ratios using the models. Which statements are true? Check all that apply. 7 to 16 The model for the ratio 7 to 16 should show 7 cells shaded. The model for the ratio 6:8 should show 8 cells shaded. The ratio 7 to 16 is greater than 6:8. The ratio 6:8 is greater than the ratio 7 to 16. 6.8
Answer:
Step-by-step explanation:
Hi sorry if I’m bugging just trying to help out by getting Them B bye
Plz hurry and DONT give me a link
The point (-5, 6) is located in which quadrant?
8
6
4
ND
2
-9 -6 -4
-4-2
2
4
8 8 x
-4
-6
-8
O Quadrant !
Quadrant Il
0 Quadrant III
Quadrant IV
Answer:
Quadrant II
Step-by-step explanation:
(-5,6)
The x coordinate is negative so the quadrant is either 2 or 3
The y coordinate is positive so the quadrant is either 1 or 2
To make both happen, it must be in quadrant 2
Quadrant II
A large grocery store needs to decide how many bottles of 2 liter
Dr. Pepper to stock each week in the store. The store must decide how many bottles to stock each week. The weekly demand for 2 liter Dr. Pepper follows a Normal Distribution with a mean of 550 bottles and a standard deviation of 26 bottles. The store desires that the probability that they do not run out of 2 liter bottles of Dr. Pepper in a week to be .995.
How many bottles should they stock at the beginning of the week to have a .995 probability of not running out during the week. Choose what you believe is the best answer from the following:
i) 601,
ii) 610
iii) 617
iv) 483
v) 490
vi) none of the above
Answer:
I Kinda Confused Man
Step-by-step explanation:
I Dont Even Know The Right Answer
What is 9÷8/9 in simplest form?
Answer:
10 1/8 or 81/8
Step-by-step explanation:
HELP CODE HS 3.2.8 repeating message
The program is an illustration of loops.
Loops are used to perform iterative and repetitive operations.
The program where comments are used to explain each line is as follows:
public class MyProgram extends ConsoleProgram {
public void run() {
//This prompts the user for the number of times to repeat the message
echo("Anybody home?", readInt("Times to repeat: "));
}
private void echo(String lineOne, String lineTwo, int numTimes) {
//The following iteration is repeated numTimes times
for (int i = 0; i < numTimes; i++){
//This prints lineOne
System.out.println(lineOne);
//This prints lineTwo
System.out.println(lineTwo);
}
}
}
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solve pls brainliest
Answer:
-1, -24
Step-by-step explanation:
-9-(-8)
double negative = positive
-9+8=-1
21-45=-24
5 is 10% of what plz i need help
Answer:
50
Step-by-step explanation:
will give brainliest to whoever helps
Answer:
x=4y
Step-by-step explanation:
Solving for x means you need to get it in the form x=?.
1. let's isolate the variable.
-2x-7y=y-4x
Add 4x to both sides to isolate:
2x-7y=y
Add 7y to both sides to isolate the x term:
2x=8y
Now we divide both sides by 2 (as we are solving for x):
x=4y
Hope this helps!
You roll a six-sided die and observe the number showing on the top side when the die comes to rest. What is the probability of observing:
a. an odd number?
b. a number greater than 2?
c. a number less than 7?
d. a prime number?
Answer:
a. P(O) = ¹/₂ = 0.5
As a percentage, this is 50%
b. P(> 2) = ²/₃ = 0.666...
As a percentage, this is 66.6...%
c. P(< 7) = 1
As a percentage, this is 100%
d. P(prime) = ¹/₂ = 0.5
As a percentage, this is 50%
Step-by-step explanation:
a.
1, 3 and 5 are odd, 3 of the outcomes
2, 4 and 6 are even, 3 of the outcomes
So, 3 of the 6 possible outcomes are odd and 3 are even;
Thus, the probability of an odd roll is ³/₆ (and the same applies to even);
This can be simplified to ¹/₂
b.
3, 4, 5 and 6 are the outcomes > 2;
1 and 2 are the outcomes ≤ 2;
So, 4 of the 6 possible outcomes are > 2;
Thus, the probability of rolling < 2 is ⁴/₆;
This can be simplified to ²/₃
c.
All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;
This means the probability of rolling less than 7 is ⁶/₆, or simply 1
d.
Prime numbers: 2, 3, 5, 7 ...
The possible prime number outcomes are 2, 3 and 5;
3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂
Please help with this other question
Answer:
pink and green same shape, but pink 7 units lower than green
Step-by-step explanation:
Both f(x) and f'(x) equations are the same except that f'(x) has the term "-7" at the end, denoting that the whole graph has been shifted down by 7 units. In other words, there is a vertical translation by -7. And since f'(x) is the pink graph, choose the option in which green and pink have the exact same shape but pink is located 7 units lower than the green.
these two figures are similar find the length of the side x
Answer:
6.7 in bcoz 4-3.2=0.8 and 7.5-0.8=6.7
Answer:
x = 6
Step-by-step explanation:
This problem can be solved by setting up ratios. The ratio of lengths is 4: 3.2, so we can say that the same ratio should apply to the widths. Thus we get the equation, [tex]\frac{4}{7.5} = \frac{3.2}{x}[/tex], and we get x = 6.
Mike burns 392 calories when he walks 4 miles how many calories does he burn when he walks 1 mile?
Answer:
Step-by-step explanation:
If mike burns 392 calories when he walks 4 miles then we just need to divide
/ =
Mike burns 98 calories when he walks 1 mile.
What is unitary method?"It is a method of finding the value of a single unit and based on that value, we can find the required value."
For given example,
Mike burns 392 calories when he walks 4 miles.
This means, 4 miles = 392 calories
By using unitary method we find the number of calories he burns when he walks 1 mile.
4 miles = 392 calories
So, 1 mile = 392/4 calories
1 mile = 98 calories
Therefore, Mike burns 98 calories when he walks 1 mile.
Learn more about the unitary method here:
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Find the value of x
(6x-5) (6x+5)
Answer:
-5/6 or 5/6
Step-by-step explanation:
Im assuming you want this equation equal to 0, so (6x-5)(6x+5) would reduce to 36x²-25=0. I would then add 25 to the other since and get
36x²=25, divide the whole thing by 36 to single out x
x²=25/36, which would reduce to x²=5/6.
thus x could be either -5/6 or 5/6
Put the following numbers in order on the number line below.
1/2
1 1/2
3/5
1/4
1 3/4
1 1/4
7/8
Answer:
1/4
1/2
3/5
7/8
11/4
13/4
11/2
Unitary method
A car can cover a distance of 240 km in 4 hours.
i) Find the speed of the car in km per hour.
ii) How many kilometers does it cover with the same speed in 7 hours?
(Explain with process)
Answer:
60 kilometers per hour.
420 kilometers will be covered
Step-by-step explanation:
speed = distance ÷ time.
so 60kmh = 240km divided by 4 Hours
60km = 1 Hour of distance
240km = 4 Hours of distance
Therefore 60 x 3 hour is 180km added to 240 is 420km. So in 7 hours traveling 60 kilometers per hour the will cover 420kms.
help me please 5 points
Answer:
-12
Step-by-step explanation:
What is the probability of selecting a red jack from a deck of cards?
Answer:
There's 2 red jacks in a deck and 2 black queens in a deck so you have a total of 4 possible cards out of a 52 total in a deck so that would be 4/52 or 1/13 of the time. Statistically 7.6% of the time you will get a red jack or a black queen.
Step-by-step explanation:
A store sells 6 apples for $2.82. At that rate, how much would 1 apple cost?
Answer:
$0.46
Step-by-step explanation:
6 apples = $2.82
1 apple = 2.82 / 6
= $0.46
help any body plzs i will give brianlyest
- BRAINLIEST answerer
-4/5 divided by 1/3
Please asap
the straight up answer is -12/5
Plz help me on this qustin. Slove for w 2w ≥ -12
Answer:
w > -6
Step-by-step explanation:
divide each term n 2x > -12 by 2 then simplify
I RELLY NEED HELP RIGHT NOW
Answer: 28
Step-by-step explanation:
-36.12 divided by -5 3/5
- BRAINLIEST answerer
bill planted 4 pecan trees and 2 apple trees what fraction of that is pecan
Answer:
4 / 6 or 2/3
pecan total tree
Answer:
2/3
Step-by-step explanation:
So, Bill planted -
Pecan trees = 4
Apple trees = 2
Total trees = 6
We want the fraction of Pecan trees. Thus,
4/6
Where 4 is Pecan trees, (What we want)
And 6 is the total.
4/6 in its simplest form is 2/3.
I hope it helps.
Please please help please help me please please help me
Answer:
y = -6/7x - 10/7
Step-by-step explanation:
(-4,2) and (3,-4)
Slope: - 6/7
Take any point: (-4,2)
y-intercept: 2 - (- 6/7)(-4) = -10/7
HELP PLEASE!!!!!!!!!
Answer:
2
Step-by-step explanation:
the formula is y^2-y^1 over x^2-x^1
so the y coordinates here are 5 and -5
5--5=10
the x coordinates are -2 and 3
3--2=5
so we are left with 10/5
the answer is 2
hope this helped