I assume the integral is supposed to be
[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz[/tex]
Parameterize C by
[tex](x(t),y(t),z(t)) = (1-t)(1,0,0) + t(5,1,2) = (1+4t, t, 2t)[/tex]
with 0 ≤ t ≤ 1, and dx = 4 dt, dy = dt, and dz = 2 dt. Then the line integral is
[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1 (2t)^2(4\,dt) + (1+4t)^2\,dt + t^2(2\,dt)[/tex]
[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = \int_0^1(1+8t+34t^2)\,dt[/tex]
[tex]\displaystyle \int_C z^2\,dx + x^2\,dy + y^2\,dz = 1+4+\frac{34}3 = \boxed{\frac{49}3}[/tex]
patrick is thinking of a number. his number is twice as large as the smallest number that rounds to 30 when rounding to the nearest ten. what is patrick’s number?
which of the following explains why 2/3(x+3)=2/3(x-6)has no solution
Answer:
D. The coefficients are the same, and the constants are different
Step-by-step explanation:
This means that because we have the same coefficient (2/3), if we wanted the same equation, the constants (x +/- #) would have to be the same, and since they are not in this instance, that makes the equation false, and therefore has no solution
Greg paid $324.50 for guitar lessons. He paid a $124.50 registration fee and $40 for each week he was enrolled in lessons. What is w, the number of weeks Greg was enrolled in guitar lessons?
C. 5.37. D.537
20. what is 8.75 divided by 1000?
A.0.0875
B.0.00875
C.0.000875
D.0.0000875
21. which of the following gives a terminating decimal quotient?
A.4÷5
B.3÷7
C.2÷3
D.1÷3
22.which of the following gives a non-terminating decimal quotient?
A.4÷5
B.2÷4
C.2÷3
D.1÷5
Answer:
B. 21. A 22. c
Step-by-step explanation:
8.75 ÷1000 move decimal point three places to the left.
21. A a whole number 0.80
22. C nonterminating decimal. 0.6666...
Need help quickly
(Finding angle measures using triangles)
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
1
Show that the matrix C = -2
- 2 3
4-5
--5 6
is symmetric.
3
Describe how to use the FOIL Method with (x+1)(x+2) as your example.
Find the odds for and the odds against the event rolling a fair die and getting a 1,a4,a3 or 5
Answer:
Step-by-step explanation:
Assuming we're rolling a cube die with 6 sides.
Odds for rolling any of 1, 4, 3, or 5 has four possible successes
4/6 = 2/3
Odds for NOT rolling any of 1, 4, 3, or 5 has two possible successes, 2 and 6
2/6 = 1/3
The pair of polygons is similar. Find the value of x.
187. 5 in
12 in
30 in
37.5 in
when is a number divisible by 6?
According to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. The Venn diagram displays the coffee preferences of the customers.
Using Venn probabilities, it is found that there is a 0.08 = 8% probability that the customer only likes iced coffee.
In this problem, the events are:
Event H: Liking hot coffee.Event I: Liking iced coffee.The probability of only liking iced coffee is:
[tex]P(I \cap H^c) = P(I) - P(I \cap H)[/tex]
30% like iced coffee, hence [tex]P(I) = 0.3[/tex].22% like both hot and iced coffee, hence [tex]P(I \cap H) = 0.22[/tex]Then:
[tex]P(I \cap H^c) = P(I) - P(I \cap H) = 0.3 - 0.22 = 0.08[/tex]
0.08 = 8% probability that the customer only likes iced coffee.
A similar problem is given at https://brainly.com/question/24707032
A snack company makes packages of grapes and honeydew slices. The weight of an individual package of
grapes, G, is approximately Normally distributed with a mean of 3.25 ounces and a standard deviation of 0.91
ounces. The weight of an individual package of honeydew slices, H, is approximately Normally distributed with a
mean of 4.51 ounces and a standard deviation of 2.02 ounces. Assume G and H are independent random
variables. Let D=G-H. What is the probability that a randomly selected package of grapes weighs more than a
randomly selected package of honeydew slices?
O 0.127
O 0.230
0.284
0.334
Using the normal distribution, it is found that there is a 0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.In this problem, for each variable, [tex]\mu_G = 3.25, \sigma_G = 0.91, \mu_H = 4.51, \sigma_H = 2.02[/tex]
For the subtraction, we have that:
[tex]\mu_D = \mu_G - \mu_H = 3.25 - 4.51 = -1.26[/tex]
[tex]\sigma_D = \sqrt{\sigma_G^2 + \sigma_H^2} = \sqrt{0.91^2 + 2.02^2} = 2.2155[/tex]
The probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices is P(D > 0), which is 1 subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-1.26)}{2.2155}[/tex]
[tex]Z = 0.57[/tex]
[tex]Z = 0.57[/tex] has a p-value of 0.7157.
1 - 0.715 = 0.284
0.284 = 28.4% probability that a randomly selected package of grapes weighs more than a randomly selected package of honeydew slices.
A similar problem is given at https://brainly.com/question/24663213
What is 608 + 17.25?
Answer:
625.25
Step-by-step explanation:
the answer is 625.25
Answer: 625.25
Step-by-step explanation:
which option is right??
Answer:
its the third choice
Step-by-step explanation:
Side angle side cuz there r 2 sides congruent in the picture shown above.
need help with my math please <3
Answer:
wth that's hard I can't answer that
Eight less than the product of eleven and a number is negative nineteen. Find the number
Please help and show the answer thank uou
Answer:
-217 is the answer.
Step-by-step explanation:
negative nineteen is -19
eleven = 11
and from their product we have to subtract 8.
so,
-19×11
= -209
-209-8
= -217.
hope it helps you
plzz plzz plzz mark as brainliest
Answer:
the number is -1
Step-by-step explanation:
Let the number be x. PROOF
11x-8=-19. (11×-1)-8=-19
11x=-19+8
11x=-11
11x/11=11/11
x=1
16 +1 -1 = 17-2
True
False
Answer:
false i think
Step-by-step explanation:
16+1=17-1=16-2=14
3. Your bedroom is 14 feet by 10 feet and your sister's room is 12 feet by 10 feet. If you
are going to paint both rooms the same color and the paint covers 250 square feet per
gallon, how much paint will you need if you are going to paint the walls and ceilings?
Assume the ceiling is 8 ft high.
Step-by-step explanation:
we paint the walls and ceilings.
and we ignore any doors or windows (no information about them).
so, each room has then 5 rectangles : 4 walls and 1 ceiling.
when we say a room is 14 ft × 10 ft, this also means there are 2 sides of 14 ft and 2 sides of 10 ft.
and the area is 14×10 ft².
the area of the ceiling is the same as the area of the floor : 14×10 = 140 ft²
for the walls we have 2 rectangles of 14×8 = 112 ft², and 2 rectangles of 10×8 = 80 ft² (remember, the height of the room is 8 ft).
for the sister's room it is similar.
just a 12×10 = 120 ft² ceiling.
and 2 rectangles of 12×8 = 96 ft² and again 2 rectangles of 10×8 = 80 ft² as walls.
altogether we have then
140 + 112 + 112 + 80 + 80 + 120 + 96 + 96 + 80 + 80 ft²
that is in total
996 ft²
how many gallons of paint do we need for this ?
well, 1 gallon per 250 ft².
so, how often does 250 fit into 996 ?
996 / 250 = 3.984 gallons.
since we get the paint most likely only in quantities of gallons, we need 4 gallons for the paint job.
Consider the following data to determine whether there is a significant difference between the values of Group 1 and Group 2. Let the significance level be 5%. Group 1: 15, 17, 26, 11, 18, 21, 13, 29 Group 2: 23, 14, 24, 13, 22, 23, 18, 21 What rank will be given to the value 15
Using the t-distribution, it is found that since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.
At the null hypothesis, we test if the groups have the same values, that is, the subtraction of their means is 0:
[tex]H_0: \mu_2 - \mu_1 = 0[/tex]
At the alternative hypothesis, we test if the groups have different values, that is, the subtraction of their means is different of 0:
[tex]H_1: \mu_2 - \mu_1 \neq 0[/tex]
First, we have to find the mean and the standard deviation for both samples, hence, using a calculator:
[tex]\mu_1 = 18.75, \sigma_1 = 6.2507, \mu_2 = 19.75, \sigma_2 = 4.2678[/tex]
The standard errors are:
[tex]s_1 = \frac{\sigma_1}{\sqrt{n_1}} = \frac{6.2507}{\sqrt{8}} = 2.21[/tex]
[tex]s_2 = \frac{\sigma_2}{\sqrt{n_2}} = \frac{4.2678}{\sqrt{8}} = 1.5089[/tex]
For the distribution of differences, we have that:
[tex]\overline{x} = \mu_2 - \mu_1 = 19.75 - 18.75 = 1[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.21^2 + 1.5089^2} = 2.676[/tex]
We have the standard deviation for the samples, hence, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu[/tex] is the value tested at the null hypothesis, which is 0 for this problem. Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{1 - 0}{2.676}[/tex]
[tex]t = 0.37[/tex]
To find the p-value, we have a two-tailed test, as we test if the means are different from a value, with t = 0.37 and 8 + 8 - 2 = 14 df.
Using a t-distribution calculator, this p-value is of 0.72.
Since the p-value of the test is 0.72 > 0.05, there is not significant difference between the values of each group.
A similar problem is given at https://brainly.com/question/15682365
amir is buying tickets for the $120 million lottery. If he buys tickets with his brother
Answer:
$20 million.
Step-by-step explanation:
Amir is buying tickets for the $120 million lotteries. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother’s four friends, and they will each get
The illustration provided in the question is an example of an inverse variation.
What is an inverse proportion?
When there is an inverse proportion, as one of the variable increases, the other variable decreases. As the number of people who share the money increases, the amount of money each person would get would become smaller.
The formula used to represent inverse proportion is:
y = k/x
• y = dependent variable
• x = independent variable
• k = constant of proportionality
Here is the complete question: Amir is buying tickets for the million lottery. If he buys tickets with his brother, then they will split the money equally. But he is also considering buying tickets with his brother's four friends, and they will each get million. Is this an example of direct, inverse, or joint variation?Joint variationInverse variationDirect variation
To learn more about inverse proportion , please check: https://brainly.com/question/25748643
Question 21: In January, Michelle walked 15.73 miles. In February she walked 3.6 miles. In March,
she walked 8.01 miles. How many miles did she walk in all?
Answer:
27.34 milesStep-by-step explanation:
Add all together:
15.73 + 3.6 + 8.01 = 27.3415.73miles + 3.6miles + 8.01miles = ...
= 19.33miles + 8.01miles
= 27.34miles
please work QUICK its a test
Anyone able to help with this?
Answer:
20.1°
Step-by-step explanation:
Put the given numbers into the given formula and do the arithmetic.
∆L = 1050/(60·cos(29.5°)) ≈ 20.1°
The change in longitude is about 20.1 degrees.
__
Additional comments
A degree is 60 minutes: 1° = 60', so 30' = 0.5°.
This formula is accurate when the distance units are nautical miles.
If $2,940.00 is invested for 4 months at 3.8% simple interest:
What is the amount of interest earned?
Answer:
I = $372.40
Step-by-step explanation:
Given the principal amount of $2,940, which is invested for 4 months at 3.8% interest rate:
Use the following simple interest formula to solve for the interest earned:
I = P × r × t
where:
I = interest earned
P = principal amount invested = $2,940
r = interest rate = 3.8% or 0.380
t = time = 4/12 months = ⅓ or 0.3333
Substitute to given values into the simple interest formula:
I = P × r × t
I = $2,940 × 0.380 × 0.3333
I = $372.40
Therefore, the simple interest earned in 4 months is $372.40.
Two cities are 5 3/4 inches apart on a map. The map scale says that 1/2 inch= 10 miles. How many miles
apart are two cities?
Answer:
900 Miles
Step-by-step explanation:
Since 1 inch = 200 miles, then ....
4.5 inches * (200 miles / 1 inch) = (4.5 inches * 200 miles) / (1 inch) = 900 miles
OR
1 / 200 : 4.5 / m ==> 1 * 4.5 / 200 * 4.5 = 4.5 / 900 ==> m = 900
Thus, the actual distance between the two cities is 900 miles.
Select the Ordered Pair which is a solution to the linear graph.
(8, 6)
(−8,−6)
(−8, 6)
Review the linear graph.
Answer:
point B (8, 6)
Step-by-step explanation:
Given the linear graph of a vertical line, x = 8:
The solution to the given linear equation is any ordered pair that is found along the line of the graph.
Out of the given options, point B, (8, 6) is located on the line. Therefore, it is one of the solutions to the linear equation, x = 8.
Help pls ASAP plssss is sims ska and d
find the value of x for which f(x)=4
[tex] \: \: \: [/tex]
[tex]f(x) = 4[/tex]
The domain of a constant function is the set of all real numbers[tex]x = R[/tex]
hope it helps[tex] \: \: \: [/tex]
HELP! Evaluate the line integral where C is given by the vector function r(t).
Applying the steps, the result of the line integral is 99.
The curve is:
[tex]f(x,y,z) = xy i + 9y^2 j[/tex]
The vector field is:
[tex]r(t) = (x(t), y(t)) = (16t^6, t^4)[/tex]
Applying the vector field at the curve, we have that:
[tex]f(t) = (16t^{10}, 9t^8)[/tex]
The derivative of the vector field is:
[tex]r^{\prime}(t) = (96t^5, 4t^3)[/tex]
The dot product of the vector field along the curve with the derivative is:
[tex]f(t)r^{\prime}(t) = (16t^{10}, 9t^8)(96t^5, 4t^3) = 1536t^{15} + 36t^{11}[/tex]
Hence, the line integral is:
[tex]I = \int_{0}^{1} (1536t^{15} + 36t^{11}) dt[/tex]
[tex]I = 96t^{16} + 3t^{12}|_{t = 0}^{t = 1}[/tex]
[tex]I = 96 + 3[/tex]
[tex]I = 99[/tex]
A similar problem is given at https://brainly.com/question/12666512
The value in cents of a nickels, The value in cents of a dimes =, The value in cents of a quarters = , The value in cents of a dimes and one quarter = ,The value in cents of 13 dimes =
The value in cents of a nickels = 5a
[] A nickle is worth 5 cents, so 5a is the value of a nickles
The value in cents of a dimes = 10a
[] The value of a dime is 10 cents, so 10a is equal to a dimes
The value in cents of a quarters = 25a
[] A quarter is worth 25 cents, so 25a is the value of a quarters
The value in cents of a dimes and one quarter = 10a + 25
[] Up above we figured out the expression for a dimes, so we need to add 25 to it for one quarter
The value in cents of 13 dimes = 130
[] A dime is worth 10 seconds, so 13 * 10 = 130
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather