Determine whether each red path in the vector field is positive, negative, or zero
Answers
If the path is perpendicular to the field it is zero.
If the path is along the field it is positive or negative depending on it's direction.
See the attached picture.
Related Questions
The grade point average collected from a random sample of 150 students. Assume that the population standard deviation is 0.78. Find the margin of error if cequals0.98.
Answers
Answer:
15%
Step-by-step explanation:
To calculate the margin of error, we can adopt this formula
Margin of error = critical value* (standard deviation/sqrt of sample size)
Where critical value is 2.33, sd is 0.78 and sample size is150.
Thus, we have:
Margin of error = 2.33*(0.78/√150)
Margin of error = 2.33*(0.78/12.2474)
Margin of error =2.33*0.06369
Margin of error = 0.1484 which is a 15% margin of error
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer
Answers
Answer:
15 pt
Step-by-step explanation:
to convert qt to pt you multiply by 2 so 7 and 1/2 times 2 is 15
A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond has 20 years to maturity. If investors require a 12 percent yield, what is the bond’s value? * a. $849.45 b. $879.60 c. $985.18 d. $963.15 e. None of the above
Answers
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45
Find the volume of the cone.
Answers
Answer:
628 units³Step-by-step explanation:
Given,
Radius ( r ) = 10
Height ( h ) = 6
pi ( π ) = 3.14
now, let's find the volume of given cone:
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
Plug the values
[tex] = 3.14 \times {10}^{2} \times \frac{6}{3} [/tex]
Evaluate the power
[tex] = 3.14 \times 100 \times \frac{6}{3} [/tex]
Calculate
[tex] = 628 \: {units}^{3} [/tex]
Hope this helps..
Best regards!!
Answer:
The answer is 200π units³ .
Step-by-step explanation:
Given that the formula of volume of cone is V = 1/3×π×r²×h where r represents radius and h is height. Then, you have to substitute the value of radius and height into the formula :
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]let \: r = 10 \: , \: h = 6[/tex]
[tex]v = \frac{1}{3} \times \pi \times {10}^{2} \times 6[/tex]
[tex]v = \frac{1}{3} \times \pi \times 600[/tex]
[tex]v = 200\pi \: {units}^{3} [/tex]
What is the rule of 72 used to determine? A. the approximate time it takes an investment to triple in value B. the approximate time it takes an investment to double in value C. the approximate time it takes to earn 10% interest D. the approximate time it takes to earn $72 on any investment amount
Answers
Answer:
b. the approx time it takes an investment to double in value
According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of 66 inches and a standard deviation of 2.5 inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual.
Answers
Answer:
The probability that the person is between 65 and 69 inches is 0.5403
Step-by-step explanation:
Mean height = [tex]\mu = 66[/tex]
Standard deviation = [tex]\sigma = 2.5[/tex]
We are supposed to find What is the probability that the person is between 65 and 69 inches i.e.P(65<x<69)
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
At x = 65
[tex]Z=\frac{65-66}{2.5}[/tex]
Z=-0.4
Refer the z table for p value
P(x<65)=0.3446
At x = 69
[tex]Z=\frac{69-66}{2.5}[/tex]
Z=1.2
P(x<69)=0.8849
So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403
Hence the probability that the person is between 65 and 69 inches is 0.5403
What expression be used to add 3/4 + 1/6
Answers
Answer:
11 / 12 or 0.9167
Step-by-step explanation:
Given:
3/4 + 1/6
Find:
Value with expression
Computation:
"3/4 added to number 1/6"
3/4 + 1/6
By taking LCM
[9 + 2] / 12
11 / 12 or 0.9167
50 Points. Select all correct graphs. Choose the graph that indicate equation with no solutions.
Answers
Concepts:
Graph equationsAnswer:
First option and fifth option
-2x-1=3^(-x) and 2^(-x)+2= -5^x + 3 don't intersect.
Therefore, the graphs have no solution.
Find the probability of each event. A basketball player has a 50% chance of making each free throw. What is the probability that the player makes at least seven out of eight free throws?
Answers
Hey there! I'm happy to help!
We want to find the probability that the player makes at least seven out of eight free throws. First, we find the probability of them making seven free throws.
[tex]\frac{1}{2}^7=\frac{1}{128}[/tex]
Then, we find the probability of them making eight, which is another possibility that fits this.
[tex]\frac{1}{2}^8=\frac{1}{256}[/tex]
Now, we add the probability of these two events happening.
[tex]\frac{1}{128}+\frac{1}{256}=\frac{3}{256}[/tex]
Therefore, the probability that the player makes at least seven of eight free throws is 3/256 or about 1.17%
Have a wonderful day! :D
find dy/dx if x=at⁴, y = at³
Answers
Answer:
The answer for dy/dx is 3/4t .
Step-by-step explanation:
First, you have to differentiate x and y expressions in term of t :
[tex]x = a {t}^{4} [/tex]
[tex] \frac{dx}{dt} = 4a {t}^{3} [/tex]
[tex]y = a {t}^{3} [/tex]
[tex] \frac{dy}{dt} = 3a {t}^{2} [/tex]
Next, we can assume that dy/dt ÷ dx/dt = dy/dx. So we have to substitute the expressions :
[tex] \frac{dy}{dt} \div \frac{dx}{dt} = \frac{dy}{dt} \times \frac{dt}{dx} = \frac{dy}{dx} [/tex]
[tex] \frac{dy}{dx} = 3a {t}^{2} \div 4a {t}^{3} [/tex]
[tex] \frac{dy}{dx} = 3a {t}^{2} \times \frac{1}{4a {t}^{3} } [/tex]
[tex] \frac{dy}{dx} = \frac{3}{4t} [/tex]
What is the slope of the line graphed below?
(3, 3) (0,-6)
Answers
Answer:
3
Step-by-step explanation:
Use this equation
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] substitute
-6-3/0-3 subtract
-9/-3 simplify
-3/-1 two negitives cansle out
3/1=3
Hope this helpes, if it did, please consider giving me brainliest, it will help me a lot. If you have any questions, feel free to ask.
Have a good day! :)
Answer:
3
Step-by-step explanation:
To find the slope, we use the slope formula
m= ( y2-y1)/(x2-x1)
= ( -6 -3)/(0 -3)
= -9/-3
= 3
PLEASE HELP ASAP!! Write a polynomial f(x) that satisfies the following conditions. Polynomial of lowest degree with zeros of -4 (multiplicity of 1), 2 (multiplicity of 3), and with f(0)=64
Answers
Answer:
See below.
Step-by-step explanation:
So, we have the zeros -4 with a multiplicity of 1, zeros 2 with a multiplicity of 3, and f(0)=64.
Recall that if something is a zero, then the equation must contain (x - n), where n is that something. In other words, for a polynomial with a zero of -4 with a multiplicity of 1, then (x+4)^1 must be a factor.
Therefore, (x-2)^3 (multiplicity of 3) must also be a factor.
Lastly, f(0)=64 tells that when x=0, f(x)=64. Don't simply add 64 (like what I did, horribly wrong). Instead, to keep the zeros constant, we need to multiply like this:
In other words, we will have:
[tex]f(x)=(x+4)(x-2)^3\cdot n[/tex], where n is some value.
Let's determine n first. We know that f(0)=64, thus:
[tex]f(0)=64=4(-2)^3\cdot n[/tex]
[tex]64=-32n, n=-2[/tex]
Now, let's expand:
Expand:
[tex]f(x)=(x+4)(x^2-4x+4)(x-2)(-2)[/tex]
[tex]f(x)=(x^2+2x-8)(x^2-4x+4)(-2)[/tex]
[tex]f(x)=(x^4-4x^3+4x^2+2x^3-8x^2+8x-8x^2+32x-32)(-2)[/tex]
[tex]f(x)=-2x^4+4x^3+24x^2-80x+64[/tex]
This is the simplest it can get.
Find ZABD if ZABC = 121° in the given figure.
Answers
4x+21+3x-5=121
7x+16=121
x=15
angle ABD =4(15)+21=81
What is the anwer? plz help. 2(4x+2) = 4x - 12(x-1)
Answers
Answer:
x = 1/2
Step-by-step explanation:
2(4x+2) = 4x - 12(x-1)
Distribute
8x +4 = 4x - 12x +12
Combine like terms
8x + 4 = -8x +12
Add 8x to each side
8x+4+8x = -8x+12 +8x
16x+4 = 12
Subtract 4 from each side
16x +4-4 = 12-4
16x = 8
Divide by 16
16x/16 =8/16
x = 1/2
Answer:
x = 1/2
Step-by-step explanation:
2(4x+2) = 4x - 12(x-1)
Expand brackets.
8x + 4 = 4x - 12x + 12
Subtract 4 on both sides.
8x = 4x - 12x + 12 - 4
Subtract 4x and add 12x on both sides.
8x - 4x + 12x = 12 - 4
Combine like terms.
16x = 8
Divide both sides by 16.
x = 8/16 = 1/2
3²-(-3²)=? what's the answer please
Answers
Answer:
0
Step-by-step explanation:
3^2 is 9, and (-3)^2 is 9.
so, 9-9=0
PLEASE HELP!!! Select the three statements that give benefits of having a savings account. A. When I withdraw money from my savings account too many times, I can be charged a fee. B. When I put money in a savings account, the bank will pay me interest. C. If there were an emergency, I would have the money to cover expenses. D.When I use a savings account, my money is insured by the FDIC up to $250,000.
Answers
Answer:
answer is B
Step-by-step explanation:
The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 10001000 voters in the town and found that 29)% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 26&%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answers
Answer:
We accept H₀
p-value = 0,1618
Step-by-step explanation:
We are going to solve a one tail proportion-test ( right tail)
We assume Normal distribution
Sample population 1000
Political strategist to test wants to test:
Null hypothesis H₀ p = p₀ or p = 26 %
Alternate hypothesis Hₐ p > p₀ or p > 26%
We assume CI 90 % then
α = 10 % α = 0,1 and z score for α = 0,1 is critical value
z = 2,32 ( note 2,32 is z score for α = 0,1017 "good approximation")
To compute z(s)
z(s) = ( p -p₀ ) / √ p₀q₀/n
z(s) = ( 0,29 - 0,26 ) /√ 0,26*0,74/1000
z(s) = 0,03 / 0,014
z(s) = 2,14
We compare z(s) and z(c)
z(s) < z(c)
2,14 < 2,32
z(s) is in the acceptance region we accept H₀
The p-value for z(s) is from z-table
p-value = 0,1618
Which pairs of angles are alternate exterior angles? select yes or no
Answers
A - No
B - No
C - Yes
D - Yes
.
C and D are alternate exterior angles
which linear inequality is represented by the graph
Answers
The slope is up 2 over 1 which gives you a slope of 2. The line is up 1 which gives you a y intercept of 1.
Hope this helps!
Answer:
y > 2x + 1
Step-by-step explanation:
(1 is the y intercept) 2/1 is the gradient so 2 up and 1 across
what is 5/4 divided by 10 equal
Answers
Answer:
[tex]\boxed{\frac{1}{8} }[/tex]
Step-by-step explanation:
[tex]\frac{5}{4} / 10[/tex]
Changing "division" into multiplication and inverting the term after it:
[tex]\frac{5}{4} * \frac{1}{10}[/tex]
=> [tex]\frac{1*1}{4*2}[/tex]
=> 1/8
Answer:
1/8
Step-by-step explanation:
Well to do 5/4 ÷ 10 let's set up the following.
[tex]\frac{5}{4} / \frac{10}{1}[/tex]
Then we use the keep, change, and flip rule.
So keep 5/4 change the / to a * and flip the 10/1 ro a 1/10.
[tex]\frac{5}{4} * \frac{1}{10}[/tex]
Now we multiply them to get,
5/40
simplified
1/8
Thus,
the answer is 1/8.
Hope this helps :)
What is the answer? What is A?
Answers
Answer:
35 degree angle a cute angle
Answer:
Step-by-step explanation:
A and B are supplementary angles since the lines are parallel
A + B = 180
6x-18 + 14x+38 = 180
Combine like terms
20x +20 = 180
Subtract 20 from each side
20x+20 -20 =180-20
20x = 160
Divide by 20
20x/20 =160/20
x = 8
Calculate the amount of leather needed to manufacture a basketball if it has a radius of 11.14 cm. I need ASAP please and thank uuu
Answers
Answer:
Step-by-step explanation:
A basketball is basically a sphere, so it suffices to calculate the surface are of the ball to determine the amount of required material. Given a sphere of radius r we have that the surface area is [tex]4\pi r^2[/tex]
In this case, r = 11.14 cm. So the area is aproximately 1159.48 squared cm. (1159.48 = [tex]4\pi (11.14)^2[/tex])
Kelly bought Mason’s home for $255,500. Mason had prepaid the annual property taxes of $2,650. If closing costs are calculated on a 365-day year, and the transaction closes on March 5, how much will Kelly owe Mason for property taxes? Carry numbers out four decimal places, but round to two decimal places for your final answer. The proration is calculated up to the day of closing, meaning that the buyer owns the day of closing. Be sure to include the last day of the year in your calculations.
Answers
Answer:
$2192.60
Step-by-step explanation:
March 4 is day 63 of the year. So, the amount of tax that Kelly needs to refund to Mason is the tax for the remaining 365 -63 = 302 days of the year.
Kelly will owe Mason ...
(302/365)($2650) = $2192.6027 ≈ $2192.60
which formulas can be used to find the surface area of a regular pyramid where p is the perimeter of the base, s is the slant height, BA is the base area, and LA is the lateral area click all that apply options: A. SA= 1/2BA + 1/2ps B. SA= BA-LA C. SA= BA+LA D. SA= BA • LA E. SA= BA + 1/2ps
Answers
Answer:
C and E
Step-by-step explanation:
He got it on ap.ex
The area of the pyramid can be found using the formula SA = BA + LA and SA= BA + 1/2ps option (C) and (E) are correct.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a pyramid with a square base:
The perimeter of the base is p
The slant height is s.
The base area is BA
The lateral area is LA.
We can find the area of the pyramid as follows:
SA = BA + LA
SA= BA + 1/2ps
Thus, the area of the pyramid can be found using the formula SA = BA + LA and SA= BA + 1/2ps option (C) and (E) are correct.
Learn more about the pyramid here:
brainly.com/question/13057463
#SPJ5
La concentración de cierto calmante suministrado mediante suero, varía en su efectividad en el tiempo según la siguiente función, C(t)=−t2+6t donde C es la concentración del calmante en el suero medida en milígramos por litro para que haga efecto durante t horas. ¿En que instante la concentración es de 8 milígramos por litro?
Answers
Answer: The concentration will be 8 milligrams per liter at 2 hours and 4 hours.
Step-by-step explanation:
GIven: The concentration of a certain painkiller supplied by serum varies in its effectiveness over time according to the following function, [tex]C (t) = - t^2 + 6t[/tex] where C is the concentration of the painkiller in the serum measured in milligrams per liter so that it takes effect during t hours.
Put C(t)=8, then we get
[tex]8=-t^2+6t\\\\\Rightarrow\ t^2-6t+8=0\\\\\Rightarrow\ t^2-2t-4t+8=0\\\\\Rightarrow\ t(t-2)-4(t-2)=0\\\\\Rightarrow\ (t-2)(t-4)=0\\\\\Rightarrow\ t=2,4[/tex]
At t=2, [tex]C(t)=-(2)^2+6(2)=-4+12=8[/tex]
At t=4, [tex]C(t)=-(4)^2+6(4)=-16+24=8[/tex]
Hence, the concentration will be 8 milligrams per liter at 2 hours and 4 hours.
what is the conjugate √8-√9
Answers
Answer:
2√2−3
Step-by-step explanation:
Simplify each term.
Since there are no imaginary terms, the complex conjugate is the same as the simplified expression.
Hope this can help
A scale model of a train is 1:30. If the wheel diameter is 2cm, what is the actual size of the wheel? The wheel is ______ cm on diameter
Answers
Answer:
60 cm
Step-by-step explanation:
You need to use ratios to solve. If the scale is 1:30 then the wheel is 2:(?). Cross-multiply the fractions and solve for x.
1/30 = 2/x
1x = 30*2
x = 60
The wheel is 60 cm in diameter.
Answer:
60 centimeters
Step-by-step explanation:
The scale is 1:30. The wheel diameter is 2 while the actual size of the wheel is unknown. Therefore, the scale for the wheel is 2:x
Let’s set up a proportion.
1/30=2/x
First, cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the numerator of the second by the denominator of the first.
1*x= 2*30
1x=20*30
x=20*30
x=60
Add appropriate units, in this case centimeters (cm).
x= 60 cm
The actual diameter of the wheel is 60 centimeters.
Two points on line p have
coordinates (2, 1) and (5, 3).
The slope of the line is?
A. 2
B. 3/2
C. 1
D. 2/3
E. 4
Answers
Answer:
D. ⅔
Step-by-step explanation:
I hope it helps :)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{3 - 1}{5 - 2} = \frac{2}{3} \\ m = \frac{2}{3} [/tex]
Approximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P.
P = [0.31 0.69
0.18 0.82]
P^4 = ______
(Type an integer or decimal for each matrix element. Round to four decimal places as needed.)
Continue taking powers of P until S can be determined
S = ______
(Type an integer or decimal for each matrix element. Round to four decimal places as needed.)
Answers
Answer:
S = [0.2069,0.7931]
Step-by-step explanation:
Transition Matrix:
[tex]P=\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
Stationary matrix S for the transition matrix P is obtained by computing powers of the transition matrix P ( k powers ) until all the two rows of transition matrix p are equal or identical.
Transition matrix P raised to the power 2 (at k = 2)
[tex]P^{2} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{2} =\left[\begin{array}{ccc}0.2203&0.7797\\0.2034&0.7966\end{array}\right][/tex]
Transition matrix P raised to the power 3 (at k = 3)
[tex]P^{3} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{3} =\left[\begin{array}{ccc}0.2203&0.7797\\0.2034&0.7966\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{3} =\left[\begin{array}{ccc}0.2086&0.7914\\0.2064&0.7936\end{array}\right][/tex]
Transition matrix P raised to the power 4 (at k = 4)
[tex]P^{4} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{4} =\left[\begin{array}{ccc}0.2086&0.7914\\0.2064&0.7936\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{4} =\left[\begin{array}{ccc}0.2071&0.7929\\0.2068&0.7932\end{array}\right][/tex]
Transition matrix P raised to the power 5 (at k = 5)
[tex]P^{5} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{5} =\left[\begin{array}{ccc}0.2071&0.7929\\0.2068&0.7932\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{5} =\left[\begin{array}{ccc}0.2069&0.7931\\0.2069&0.7931\end{array}\right][/tex]
P⁵ at k = 5 both the rows identical. Hence the stationary matrix S is:
S = [ 0.2069 , 0.7931 ]
which values will only have one zero??
Answers
If it has a single zero that means it has to be just touching the x-axis with its tip.
We know that if it has only one zero, the discriminant equals 0.
So,
[tex]D=b^2-4ac=0\implies (-k)^2-4(1)(9)=0[/tex]
Solving for k,
[tex]k=\pm\sqrt{36}=\boxed{\pm{6}}[/tex].
Hope this helps.