write an equivalent integral with the given order of integration ∫20∫4−x2√0∫4−x2√0f(x,y,z)dzdydx=∫ba∫g(z)f(z)∫k(x,z)h(x,z)f(x,y,z)dydxdz

Step-by-step explanation:

Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.

C={2,4,6,8}

C={2×1,2×2,2×3,2×4}

thus set builder form is:

{x:x=2n,n∈N} and this set is also call even number set in description mathod

Answer:13/20 and 14/20

Step-by-step explanation:

3/5=12/20 3/4=15/20

Using rational numbers, Jackson supports more education funding as he  7/20 > 6/20.

Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number. In other words, p/q, where p and q are both integers and q 0, can be used to represent a rational number.

According to Kirsten, 24% of federal tax dollars should fund education

⇒ 24% = 24 / 100

⇒ 6/25

According to Jackson, $0.35 of every tax dollar should go toward education

⇒ 0.35 = 35 / 100

⇒ 7/20

As we can infer that 7/20 > 6/20

So Jackson supports more education funding.

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Answer:

5%

Step-by-step explanation:

The equation for simple interest rate is as follows:

A = P(1+rt)

A = final amount

P = initial principal amount

r = annual interest rate

t = time (in years)

So, we need to plug everything in and solve for r:

The final amount is equal to $875 plus the interest of $131.50.

A = 875 + 131.50 = 1006.50

Now, plug everything in:

1006.50 = 875( 1 + r(3))

Solve:

1 + 3r = 1.15028571                            Divide 1006.50 by 875

3r = 0.15028571                                Subtract 1 from 1.15028571

r = 0.050                                           Divide by 3

The simple interest rate would be 5%. I converted the r to a percent by multiplying 0.050 by 100.

I hope this helps!! Ask questions if you need!!

The simple interest rate on the loan was 5%.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Given that, Nathan bought a computer for $875, which he financed for 3 years. He paid a total of $131.50 in interest.

Simple interest = principal × rate × time / 100

So,

131.50 = 875 × 3 × r / 100

13150 = 875 × 3 × r

13150 = 2625 × r

r = 5%

Hence, the simple interest rate on the loan was 5%.

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S_10 is an affine geometry, S_14 is a projective geometry, S_15 is neither an affine nor projective geometry and S_21 is a projective geometry.

For each of the following finite incidence structures, draw a picture and determine which are affine geometries, which are projective geometries, which are neither.

(a) S_10 is an affine geometry because each line has two points, and every pair of points lies on a unique line. The structure is symmetrical since each point is connected to the other three points.

(b) S_14 is a projective geometry because it contains a set of three pairwise disjoint lines (lines with no common points) {A, B, R}, {C, D, R}, {R, T, U}. It also satisfies the axiom that any two points have a unique line passing through them.

(c) S_15 is neither an affine nor projective geometry. Although every pair of points lies on a unique line, it doesn't satisfy the other axioms of affine or projective geometries, like the existence of a set of pairwise disjoint lines.

(d) S_21 is a projective geometry. It has three sets of pairwise disjoint lines: {A, B, C}, {D, E, F}, {G, H, I}, and each pair of points has a unique line passing through them.

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The missing side (the adjacent side) is approximately 13.257 units long.

To find the missing side, we can use the cosine function which relates the cosine of an angle to the adjacent side and the hypotenuse of a right triangle.

cos(28°) = adjacent side / hypotenuse

We are given the measure of the angle and the length of one side, so we can plug in those values and solve for the missing side.

cos(28°) = adjacent side / 15

adjacent side = 15 cos(28°)

Using a calculator to evaluate cos(28°) to four decimal places:

cos(28°) ≈ 0.8838

Substituting into the equation:

adjacent side ≈ 15 × 0.8838

adjacent side ≈ 13.257

Therefore, the missing side (the adjacent side) is approximately 13.257 units long.

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The probability that a muffin picked at random contains raisins is 3/5.

The probability that a muffin picked at random contains raisins is calculated as follows:

The number of muffins that are not frozen = 30 - 14

The number of muffins that are not frozen = 16

The number of muffins that are not frozen but contain raisins = 16 - 4

The number of muffins that are not frozen but contain raisins = 12

The total number of muffins that contain raisins = 12 + 6

The total number of muffins that contain raisins = 18

The probability that a muffin contains raisins, P(contain raisins) = 18/30

P(contain raisins) = 3/5

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For given triangle, the length of BX is 10 cm.

What is triangle?

A triangle is a geometric shape that consists of three sides and three angles. It is one of the most fundamental and commonly studied shapes in geometry.

To find the length of BX, we can use the formula for the area of a triangle:

Area = (base * height) / 2.

We are given the areas of triangles ADX and BCX, as well as the lengths of AX and DX.

Area of triangle ADX = \(36 cm^2\)
Area of triangle BCX = \(65.61 cm^2\)
AX = 8.6 cm
DX = 7.2 cm

Let's start by finding the height of triangle ADX. We can use the formula:

\(36 cm^2\) = (BX * 7.2 cm) / 2

Simplifying the equation:

\(36 cm^2\) = (BX * 3.6 cm)

Dividing both sides by 3.6 cm:

BX = \(36 cm^2\) / 3.6 cm
BX = 10 cm

Therefore, the length of BX is 10 cm.

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The correct answer is b. Expected value. The mean of a discrete random variable generalizes the concept of expected value. The expected value of a discrete random variable is the weighted average of all possible outcomes, where the weights are the probabilities associated with each outcome.

It represents the long-term average value that we would expect to observe if we repeated the random experiment multiple times.

In the context of a discrete random variable, the mean (or expected value) is calculated by multiplying each possible value of the variable by its corresponding probability and summing them up. It provides a measure of central tendency and represents the average value we would expect to obtain from the random variable over a large number of trials.

The population mean (mean of a variable) refers to the average value of a variable in the entire population, not specifically related to a random variable. The sample mean is the average value of a variable calculated from a sample of observations. The distribution of a discrete random variable refers to the pattern of probabilities associated with each possible outcome of the variable.

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Answer:

Sam made a mistake. The answer should have been 30.

This is what Sam should have done:

2n^2 - 20

2n^2 - 20 = 2(5)^2 - 20

= 2(25) - 20

= 50 - 20

= 30

Sam multiplied 2 and 5 when he should have done the power first.

A discrete random variable can only assume a finite number of values, while a continuous random variable can take on any value within a range.

A random variable that can only take on a finite number of possible values is known as a discrete random variable.

Consider the number of defective light bulbs in a box of ten light bulbs. Because the number of defective bulbs might be 0, 1, 2, 3, or more, it is a discrete random variable.

It is a continuous random variable if the random variable can take on any value within a range. For example, the height of an individual can range from 5 feet 0 inches to 6 feet 5 inches; this is a continuous random variable.

Discrete random variable: It can only assume a specific number of values and is usually used for counting.

It is a random variable with a finite number of outcomes, like flipping a coin or rolling a dice.Continuous random variable:

It can take on any value in a range and is usually used for measuring.

It is a random variable that has a range of outcomes and is described using intervals instead of individual values.

For instance, the number of red M&M's in a jar is discrete, while the weight of a student is continuous.

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Answer:

the answer is in the picture.. if you need to actually solve the system please tell me and i will send that too

to multiply it by 2 because two is the dividend and that is closest to 1

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

3/5

Step-by-step explanation:

It is 3/5 because you can divide by 10 on the top and bottom. 30/50=3/5

Find the conman denominator for 30/50. What goes into both of them? What times what equals 30, and when you find that out then it'll work with 50 too. If it doesn't then it can't be reduced anymore. Try to figure it out, I know you can. Albert Einstein figured out a whole formula by himself, so trust me you can figure this out.

There is an outstanding bond from BP with a 15-year maturity, a $1,000 par value, a 6.9% coupon rate that is paid semi-annually, and a price of 98.17. As a result, the annual cost of debt for this bond is roughly 8.5 percent.

To calculate the cost of debt, we need to determine the yield to maturity (YTM) of the bond. The YTM is the rate of return an investor would earn by purchasing the bond and holding it until maturity. We can use the bond pricing formula to calculate the YTM.

The bond pricing formula is as follows:

\(\text{Bond Price} = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Where:

C = Coupon payment

r = Yield to maturity (YTM)

n = Number of periods

M = Par value

Given information:

Coupon payment (C) = \(\$1,000 \times \frac{6.1\%}{2} = \$30.50\)

Par value (M) = $1,000

Bond price = $1,000 × 83.57% = $835.70

We know the bond has 15 years to maturity, and coupons are paid semiannually. So, the number of periods (n) is 15 years × 2 = 30.

Using the bond pricing formula, we can rearrange it to solve for the YTM:

\(Bond Price = \frac{{C \times (1 - (1 + r)^{-n})}}{{r}} + \frac{{M}}{{(1 + r)^n}}\)

Substituting the given values:

\($835.70 = \left(\frac{{\$30.50 \times (1 - (1 + r)^{-30})}}{{r}}\right) + \left(\frac{{\$1,000}}{{(1 + r)^{30}}}\right)\)

To find the YTM, we need to solve this equation either algebraically or using numerical methods like trial and error or using financial calculators/spreadsheets.

By using a financial calculator or spreadsheet, we find that the YTM is approximately 8.5%. Therefore, the cost of debt for this bond is approximately 8.5% per year.

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Complete question :

Problem 17 Intro BP has a bond outstanding with 15 years to maturity, a $1,000 par value, a coupon rate of 6.1%, with coupons paid semiannually, and a price of 83.57 (percent of par). | Attempt 1/10 for 10 pts. Part 1 What is the cost of debt? B+ decimals Submit

Answer:

$1508.54

Step-by-step explanation:

A = p(1 + \(\frac{r}{n}\))^nt

A = 7000(1+ .05)^4

A = 7000(1.05)^4

A = 8508.54  This is the total amount (principle and interest

Subtract out the principle

8508.54 - 7000 = 1508.54

During the youth baseball season, Carter sold hamburgers and hot dogs at the Hillview baseball field and the price of a hamburger is $3, and the price of a hot dog is $4.2.

On Saturday, he sold 30 hamburgers and 25 hot dogs, earning $195 in total. On Sunday, he sold 15 hamburgers and 20 hot dogs, earning $120. The goal is to determine the price of a hamburger and the price of a hot dog.

Let's assume the price of a hamburger is represented by 'h' and the price of a hot dog is represented by 'd'. Based on the given information, we can set up two equations to solve for 'h' and 'd'.

From Saturday's sales:

30h + 25d = 195

From Sunday's sales:

15h + 20d = 120

To solve this system of equations, we can use various methods such as substitution, elimination, or matrix operations. Let's use the method of elimination:

Multiply the first equation by 4 and the second equation by 3 to eliminate 'h':

120h + 100d = 780

45h + 60d = 360

Subtracting the second equation from the first equation gives:

75h + 40d = 420

Solving this equation for 'h', we find h = 3.

Substituting h = 3 into the first equation, we get:

30(3) + 25d = 195

90 + 25d = 195

25d = 105

d = 4.2

Therefore, the price of a hamburger is $3, and the price of a hot dog is $4.2.

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Answer:

Step-by-step explanation:

Let the horizontal leg = 4√41 and the hypotenuse = 41 as

Then the vertical leg is:

Since the vertical leg is below the x-axis, its value is -5√41

Then we have:

Correct choice is A

Answer:

Step-by-step explanation: i just take the test

Answer:

Step-by-step explanation:

What are the answers for the question givin?

It’s a circle centered at (250,-170) that passes through (190, 250). The distance between these two points is the radius, which is sqrt((250+170)^2 + (190-250)^2) = sqrt(180000). So the equation is

(x - 250)^2 + (y + 170)^2 = 180000

Answer:

3. a)     f(x)=x^2  ---> f=16

3. b)     g(x)=x+5 ---> g=9

3. c)     h(x)=4x-6 ---> h=10

4. a)     f(x)=x^2 ----> f=0

4. b)     g(x)=x+5 ----> g=5

4. c)     h(x)=4x-6 -----> h=-6

Step-by-step explanation:

3. a)     f(4)=4^2  ---> f=16

3. b)     g(4)=4+5 ---> g=9

3. c)     h(4)=4*4-6 ---> h=10

4. a)     f(0)=0^2 ----> f=0

4. b)     g(0)=0+5 ----> g=5

4. c)     h(0)=4*0-6 -----> h=-6

The surface are of the new solid formed by the joining of two identical cubes having a surface area of 294 cm² is: 490 cm²

Total surface area of a cube = 6a², where a is the length of each of the sides.

Given:

Surface area of each identical cube = 294 cm²

Find the length of each side:

6a² = 294

a² = 294/6

a² = 49

a = √49

a = 7 cm

Surface area of the new solid = surface area of the two identical cubes - 2(area of the surface where both are joined)

Surface area of the new solid = 2(294) - 2(7²) = 490 cm²

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Answer:

Option d     12(19.95 + 2)

Step-by-step explanation:

The answer would be an option d, since we know that she gets paid $19.95 plus the $2 per haircut, and we know that she gave 12 haircuts there for we multiply the sum of $19.95 and $2 by 12, and that can be written down as...

12(19.95 + 2)

Answer:

Step-by-step explanation: I don’t know I just want my extra points

Answer: 164 ft

Step-by-step explanation:

tan 48=215/x

-> x.tan48=215

->x =215/tan 48

->x = 193.6

tan 31=215/y

-> y.tan31 = 215

-> y= 215/ tan 31

-> y= 357.82

BC= y-x

= 357.82-193.6

= 164.22 = 164 ft

Answer:

it's like this the answer

Step-by-step explanation:

x⁴-8x²y²+16y²-256

(x²-8xy)²+(4y-16)²

Answer:

x⁴-8x²y²+16y²-256

(x²-8xy)²+(4y-16)²

Step-by-step explanation:

Answer:

nches. L.S.A.=2π(3)(9)=54π inches2. ≈169.64 inches2

Step-by-step explanation:

Answer: parallel lines are in the same slope? , but they do not intersect.

Step-by-step explanation:

because

Answer: slope, intersect

Step-by-step explanation:

As parallel lines never intersect