(1 point) Use the Divergence Theorem to calculate the flux of F across S, where F = zi + yj + zack and S is the surface of the tetrahedron enclosed by the coordinate planes and the plane y + + 1 2 4 2

Answer:

15.9

Step-by-step explanation:

6^2 + x^2 = 17^2

36 + x2 = 289

x2 = 253

x= √ 253 = 15.9

Answer

√(6^2 + 2^2) = √40

√(8^2 + 6^2) = 10

Answer

Step-by-step explanation:

Answer:

length is 6 and breadth is 3

Step-by-step explanation:

A=L×B

18=3B×B

18=3B

DIVIDE BOTH SIDES BY 3

B=6

THEREFORE L=6

B=6÷2=3

Answer:

3,0

Step-by-step explanation:

it will be 20 squares in step four

If  Susan wants to make a tent in the shape of a square pyramid. The material she will need to make the tent is 85 square feet.

First step is to find the area of triangle using this formula

Area of triangle =1/2 × base × height

Let plug in the formula

Area of triangle  = 1/2 × 5 feet × 6 feet

Area of triangle  = 15 square feet

Each four triangular sides has an area of 15 square feet for a total surface area of 60 square feet calculated as (4 × 15).

Now let find the material she need

Material needed =  25 + 60

Material needed  = 85 square feet

Therefore she need 85 square feet.

Learn more about material needed here:https://brainly.com/question/18684769

#SPJ1

the answer is (7,-3) ............

Answer:

(7, –3)

Step-by-step explanation:

did it on edgen

A quadratic equation with opposite solutions can be found when D > 0.

In a quadratic equation, the discriminant D describes the nature of the roots which is also called the solutions of the equation.

For a quadratic equation ax²+bx+c = 0, the discriminant D is given by =

D = [-b ± √(b² – 4ac)]/2a

Nature of roots:

D > 0, roots are real and distinct.

D = 0, roots are real and equal.

D < 0, roots are imaginary and unequal.

Hence, the quadratic equation with opposite solutions can be found when D > 0.

Learn more about quadratic equation click;

https://brainly.com/question/30098550

#SPJ4

For the first question, we need to use the formula for average velocity, which is: average velocity = (change in distance)/(change in time)In this case, the distance is given by the function h(t), and the interval we are interested in is from t = 2 seconds to t = 5 seconds. So we need to calculate:

average velocity = (h(5) - h(2))/(5 - 2)

To find h(5) and h(2), we need to use the function that represents the height of the object. Let's call this function h(t). We don't have the actual function, but we know that it represents the height of the object (in feet) for time t seconds. So we can use any function that satisfies this condition. Let's use:

h(t) = 10t - 5t^2

Now we can find h(5) and h(2):

h(5) = 10(5) - 5(5^2) = -65

h(2) = 10(2) - 5(2^2) = 10

Substituting these values into the formula for average velocity, we get:

average velocity = (-65 - 10)/(5 - 2) = -25 ft/sec

So the average velocity over the interval (2,5) is -25 ft/sec (rounded to four decimal places).

To know more about distance visit:

https://brainly.com/question/29130992

#SPJ11

Answer:

Step-by-step explanation:

The solutions to the quadratic equation x² = -7x - 8 are x equals  \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Given the quadratic equation in the question:

x² = -7x - 8

To find the solutions of the quadratic equation x² = -7x - 8, we can rearrange it into standard quadratic form, which is ax² + bx + c = 0, and apply the quadratic formula.

x² = -7x - 8

x² + 7x + 8 = 0

a = 1, b = 7 and c = 8

Plug these into the quadratic formula: ±

\(x = \frac{-b \± \sqrt{b^2 -4(ac)}}{2a} \\\\x = \frac{-7 \± \sqrt{7^2 -4(1*8)}}{2*1} \\\\x = \frac{-7 \± \sqrt{49 -4(8)}}{2} \\\\x = \frac{-7 \± \sqrt{49 - 32}}{2} \\\\x = \frac{-7 \± \sqrt{17}}{2} \\\\x = \frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\)

Therefore, the values of x are \(\frac{-7 - \sqrt{17}}{2}, \frac{-7 + \sqrt{17}}{2}\).

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ1

X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.

To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.

Know more about connected set here:

https://brainly.com/question/29218348

#SPJ11

Solving the given fraction, we get that It will rain for 1 day more, that means a total of 2 days.

According to the question, first day it rained 6 inches. Then it rained 2/3 every day after that. Solving the fractions, we get that second day it will rain,

(6 × 2/3) = 4 inches as it rained 2/3 every day after that .

So, it rained a total of, 6 + 4 inches = 10 inches in a week.

We have been given that it rained a total of 10 inches in a week. While solving the fraction, we found that it rained for 10 inches in just days, 6 inches in a day and 4 inches the other day. This tells us that it will not rain for the remaining 5 ( 7 - 2 ) days.

To know more about fractions, refer to the following link:

https://brainly.com/question/78672

#SPJ4

Answer:

132.8 are left enjoy

To prove that for any elements a, b in a group G and any integer n, (a^(-1)ba)^n = a^(-1)bna, we can use induction.

Base case: n = 1

(a^(-1)ba)^1 = a^(-1)b^1a = a^(-1)ba (true)

Inductive step: Assume the statement holds for n = k, i.e., (a^(-1)ba)^k = a^(-1)bk a.

Now, we need to prove it holds for n = k + 1:

(a^(-1)ba)^(k + 1) = (a^(-1)ba)^k (a^(-1)ba)

Using the assumption, we can substitute:

= (a^(-1)bk a) (a^(-1)ba)

Associativity of group multiplication allows us to rearrange the terms:

= a^(-1)bk (a a^(-1))ba

Since aa^(-1) = e (the identity element of the group), we have:

= a^(-1)bk e ba

Again, using the definition of the inverse element:

= a^(-1)bka

Therefore, we have shown that if the statement holds for n = k, it also holds for n = k + 1.

By the principle of mathematical induction, the statement is true for all positive integers n.

Note: The result holds for any group G, not just for specific groups or elements.

Learn more about principle of mathematical induction

https://brainly.com/question/31059987

#SPJ11

a. The area under the standard normal curve that lies between 2 -2.26 and Z= 0.28 is  0.5981

b. The area under the standard normal curve that lies outside the interval between 2 = -2.49 and z= -0.42 is 0.6601.

c. The area under the standard normal curve to the left of z = 0.33 is 0.6293.

d. The area under the standard normal curve to the right of z = 1.17 is 0.1210.

(a) To find the area under the standard normal curve between z=-2.26 and z=0.28, we can use the calculator to find the area to the left of each value and then subtract them:

\($P(-2.26 \leq Z \leq 0.28) = P(Z \leq 0.28) - P(Z \leq -2.26)$\)

Using the TI-84 calculator, we find:

P(Z ≤ 0.28) = 0.6103

P(Z ≤ -2.26) = 0.0122

Therefore, P(-2.26 ≤ Z ≤ 0.28) = 0.5981

(b) To find the area under the standard normal curve outside the interval between z=-2.49 and z=-0.42, we can find the area to the left of each value and then subtract them from 1 (the total area under the curve):

P(Z<-2.49) = 0.0063

P(Z<-0.42) = 0.3336

1 - P(Z<-2.49) - P(Z<-0.42) = 0.6601

Therefore, the area under the standard normal curve outside the interval between z=-2.49 and $z=-0.42 is approximately 0.6601.

(c) To find the area under the standard normal curve to the left of z=0.33, we can use the calculator to find P(Z ≤0.33):

P(Z ≤ 0.33) = 0.6293

Therefore, the area under the standard normal curve to the left of z=0.33 is approximately 0.6293.

(d) To find the area under the standard normal curve to the right of z=1.17, we can use the calculator to find P(Z > 1.17) and then subtract it from 1:

P(Z > 1.17) = 1 - P(Z ≤ 1.17) = 1 - 0.8790 = 0.1210

Therefore, the area under the standard normal curve to the right of z=1.17 is approximately 0.1210.

Learn more about standard normal curve at: brainly.com/question/28971164

#SPJ11

Answer: 21.69 g

Step-by-step explanation:

Find the amount of compound produced when 300 mg of catalyst is added

Given:

Equation: A = 0.06c + 3.16

c = 300 mg

Substituting c = 300 into the equation and solving for A

A = 0.06 * 300 +3.69

A = 18 + 3.69

A = 21.69

Therefore 21.69 g of compound will be produced

Answer:

1 slope= -5/1 point= 11

2slope= 4/1 point= -3

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum. Here's an example: 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+4.

According to the z-table, the percentage of values above a z-score of 1.5 is approximately 6.68%. Therefore, approximately 6.68% of the salespeople would be expected to make annual sales of $330,000 or more.

The question is about the percentage of salespeople who will likely earn annual sales of $330,000 or more. This can be found by using the standard deviation and the given mean. The z-score formula would be used to do this

.z = (x - μ) / σ

where z is the z-score, x is the value being tested, μ is the mean and σ is the standard deviation. In this case,

x = $330,000, μ = $300,000 and σ = $20,000.z = ($330,000 - $300,000) / $20,000z = 1.5

This means that the value of $330,000 is 1.5 standard deviations above the mean. We can then use a z-table or a calculator to find the percentage of values that fall above this z-score.According to the z-table, the percentage of values above a z-score of 1.5 is approximately 6.68%. Therefore, approximately 6.68% of the salespeople would be expected to make annual sales of $330,000 or more.

To know more about salespeople visit:

https://brainly.com/question/29641932

#SPJ11

6.68% of the salespeople can be expected to make annual sales of $330.000 or more.

In Mathematics and Statistics, the z-score of a given sample size or data set can be calculated by using the following formula:

Z-score, z = (x - μ)/σ

Where:

By substituting the given parameters, we have the following:

Z-score, z = (330,000 - 300,000)/20,000

Z-score, z = (30,000)/20,000

Z-score, z = 1.5

From the z-score table, the area to the right of the z = 1.5 is given by:

Area = 0.5 – 0.4332

Area = 0.0668

Therefore, the required percentage is given by:

Percentage = 0.0668 × 100

Percentage = 6.68%.

Read more on z-score here: brainly.com/question/26714379

#SPJ4

\(2x - 8 = x + 4\)

Collecting like terms,

\(2x - x = 4 + 8\)

Since the signs change when its position changes.

\(x = 8 + 4 \\ x = 12\)

Answer:

The value of x would be 12.

Step-by-step explanation:

2x - 8 = x + 4

2x - x = 4 + 8

x = 12

The polynomial function in standard form that has the zeros listed. i and -i is  x² +1 = 0.

A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions.

The values of x that fulfil the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.

Calculation for the polynomial function-

The general two degree/quadratic equation is given by-

ax² + bx + c = 0

Where a ≠ 0

If the two roots of the equation are x1 and x2.

Then the relation between roots and coefficients of the polynomial are -

         x1 + x2 = (-b)/a

        x1.x2 = c/a

From the above two relation the general equation can be written as-

x² -(x1 - x2)x + x1.x2 = 0

Lets say x1 = i and x2 = -i

Substitute the values of x1 and x2 in the general equation

x² -(i - i)x + (i).(-i) = 0

x² - i ² = 0

x² + 1 = 0

Therefore, the polynomial function in standard form that has the zeros listed. i and -i is x² + 1 = 0.

To know more about Polynomial Function, here

https://brainly.com/question/10918240

#SPJ4

Answer:

1130

Step-by-step explanation:

twice as much would be 1180 and then take away 50 is 1130

Answer:

37.7 inches

Step-by-step explanation:

u have the formula so with r being radius just multiply by 2 then multiply that answer by pie and round to the nearest tenth.

The probability a randomly selected patient will have to wait more than 10 minutes is 0.550.

Given data;

An additional eight minutes are often added to the wait time for people who have appointments with primary care doctors at a specific hospital. Assume that patient wait times are distributed exponentially.

What is the likelihood that a randomly chosen patient will be kept waiting for longer than 10 minutes?

For exponentially distributed we use the formula as;

\(F(x) = 1 - e^-^x^/^\alpha\)

Here, α = 8

         x = 10

Now,

\(F(x) = 1 - e^-^x^/^\alpha\)

\(F(x) = 1 - e^-^1^0^/^8\)

\(F(x) = 1 - 0.449\)

\(F(x) = 0.550\)

Hence, the probability that a randomly chosen patient will be kept waiting for longer than 10 minutes is 0.550.

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

Answer:

b

Step-by-step explanation:

joshua times 3 is basically derrick's amount

so 3j = d

A, C, and E are linear transformations.  To justify:  A: T(A) = ASA-I is linear because it satisfies the two properties of linearity:

1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R2x2. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R2x2. This can be shown by plugging in kA for A in T(A) and simplifying.

C: T(A) = A from R to R2x2 is linear because it satisfies the two properties of linearity:
1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R. This can be shown by plugging in kA for A in T(A) and simplifying.

E: T(A) = A from R2x2 to R2x2 is linear because it satisfies the two properties of linearity:
1. Additivity: T(A+B) = T(A) + T(B) for any matrices A and B in R2x2. This can be shown by plugging in (A+B) for A in T(A) and simplifying.
2. Homogeneity: T(kA) = kT(A) for any scalar k and matrix A in R2x2. This can be shown by plugging in kA for A in T(A) and simplifying.

B, D, and J are not linear transformations.

To justify:

B: T(A) = A from R2xs to R2x5 is not linear because it does not satisfy the additivity property of linearity. Specifically, T(A+B) ≠ T(A) + T(B) for some matrices A and B in R2xs.

D: T(A) = 2A from R6x4 to R6x4 is not linear because it does not satisfy the homogeneity property of linearity. Specifically, T(kA) ≠ kT(A) for some scalar k and matrix A in R6x4.

J: T(A) = A+Is from RSx5 to RSx5 is not linear because it does not satisfy either the additivity or homogeneity properties of linearity. Specifically, T(A+B) ≠ T(A) + T(B) and T(kA) ≠ kT(A) for some matrices A and B in RSx5 and scalar k.

Learn more about linear here:

https://brainly.com/question/15830007

#SPJ11

Answers:

==================================================

Work Shown:

$4.05 = 405 cents

d = number of dimes

q = number of quarters

q = d+5 since she has 5 more quarters compared to dimes

10d = value in cents of all the dimes

25q = value in cents of all the quarters

10d+25q = total value in cents = 405

10d+25q = 405

10d+25(d+5) = 405

10d+25d+125 = 405

35d+125 = 405

35d = 405-125

35d = 280

d = 280/35

d = 8

She has 8 dimes

q = d+5 = 8+5 = 13

She also has 13 quarters

-------------------------

1 dime = 10 cents

8 dimes = 80 cents (multiply both sides by 80)

1 quarter = 25 cents

13 quarters = 325 cents (multiply both sides by 13)

8 dimes + 13 quarters = 80 cents + 325 cents = 405 cents

This converts back to $4.05, which confirms our answers.

The area of the shaded region is the area of the rectangle minus the area of the triangle

Find the coordinates of point E: Since point E lies halfway between sides AB and CD, and halfway between sides AD and BC, we can find its coordinates by taking the average of the coordinates of the opposite vertices. That is, if A = (a, b), B = (c, d), C = (e, f), and D = (g, h), then the coordinates of E are ((a+g)/2, (b+h)/2).

Find the equation of the diagonal BD: The diagonal BD passes through points B and D, so we can find its equation by using the point-slope form: y - d = (h - d)/(g - c) * (x - c).

Find the equation of the line perpendicular to BD passing through E: Since the shaded region is formed by the rectangle and the triangle outside it, we can find the equation of the line perpendicular to BD passing through E to find the height of the triangle. The slope of the line perpendicular to BD is the negative reciprocal of the slope of BD, so it is -(g - c)/(h - d). We can use the point-slope form again to find the equation of the line: y - ((b+h)/2) = -(g-c)/(h-d) * (x - (a+g)/2).

Find the intersection of the two lines: The intersection of the two lines is the point where the height of the triangle intersects the diagonal BD. We can solve the system of equations formed by the two lines to find this point.

Find the area of the triangle: Once we have the height of the triangle and the length of the base (which is the length of diagonal BD), we can use the formula for the area of a triangle: A = (1/2)bh, where b is the length of the base and h is the height.

Find the area of the shaded region: The area of the shaded region is the area of the rectangle minus the area of the triangle.

To learn more about perpendicular visit:

https://brainly.com/question/11707949

#SPJ11