Determine if JK and LM are parallel, perpendicular, or neither: J(13,-5), K(2,6), L(-1,-5), M(-4,-2)

Answer: Its x^​2 hope this helps

Step-by-step explanation:.

Answer:

a. 25

b. 34

Step-by-step explanation:

a). X²

if X=5

then

5²=25

b).(X +3)²

(5 +3)²

25+9

34

The rate of change of area as calculated from the data given is 1934.24 cm^2 / min.

A = A(r)

r = r(t)

A = A(r(t))

Using chain rule to solve this problem we get ,

rate of change of area as ,

dA/dt = (dA/dr)(dr/dt)

A = πr2

⇒ dA/dr = 2πr

dr/dt = 7 cm/min  [given]

(dA/dt) = (2πr)(7 cm/min)

When r = 44 cm,

dA/dt

= 2π (44 cm) (7 cm/min)

≅ 1934.24 cm^2/min.

The chain rule is the formula used to determine the derivative of a composite function, such as cos 2x, log 2x, etc. Another name for it is the composite function rule. Only composite functions are subject to the chain rule.

Therefore, before beginning the chain rule formula, let's examine what a composite function is and how it may be distinguished.

Another chain rule formula looks like this:

(f(g(x)) = f' (g(x)) g') = y' = d/dx (x)

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The system of linear equations: 2x-y=18 & 4x-3y = 16 has no solution.

The system of linear equations has no solution if the equations are inconsistent, meaning that there is no set of values for the variables that satisfies all of the equations simultaneously. One way to check for inconsistency is to try to find the solution by solving for one of the variables in one equation and then substituting it into another equation to see if both equations are satisfied. If the equations yield different values for the same variable, then the system has no solution.

In this case, the system of linear equations:

2x-y=18

4x-3y = 16

Has no solution. We can solve for x in the first equation and then substitute it into the second equation. If the equation yields a different value for y, then the system has no solution.

2x-y=18

2x=y+18

x=y/2 + 9

Now, substituting x into the second equation:

4x-3y=16

4(y/2 + 9) - 3y = 16

2y + 36 - 3y = 16

-y = -20

This result implies that y is not a real number, so the system of equations has no solution.

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Answer:

1 after 0 .1 before 5 .and two before -5

Step-by-step explanation:

The number of cells cut into two by the diagonal of the rectangle, found by using Pythagorean theorem, are approximately 51 cells

Pythagorean theorem can be expressed as the square of the hypotenuse side of a right triangle is equal to the sum of the square of the legs of the triangle.

The dimensions of the rectangle = 60 units by 40 units

The dimensions of each grid = 1 unit by 1 unit

The vertices of the rectangle are (0, 0), (60, 0), (60, 40), (0, 40)

The slope of the diagonal is therefore;

m = 40/(60) = 2/3

The equation of the line is; y - 0 = 2/3·(x - 0) = 2/3·x

y = 2/3·x
The number of cells in the diagonal is found using Pythagorean theorem as follows as follows;

Length the diagonal, l = √(60² + 40²) ≈ 72.1

Length of the diagonal of a unit = √(1 + 1) =√2

Number of units in the diagonal, n = 72.1/√(2) ≈ 51 units

The number of cells  cut into two ≈ 51 cells

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Answer:

D) X=-6

Step-by-step explanation:

A 2.00 L sample of pure oxygen gas (O2) at standard temperature and pressure (STP) contains 0.0896 moles of oxygen.

Standard temperature and pressure (STP) conditions are defined as a temperature of 273.15 K (0 °C) and a pressure of 1 atmosphere (atm). At STP, 1 mole of any ideal gas occupies a volume of 22.4 liters.

Given that the sample is 2.00 L at STP, we can calculate the number of moles of oxygen gas using the relationship:

moles = volume (in liters) / molar volume (22.4 L/mol)

moles = 2.00 L / 22.4 L/mol

moles = 0.0896 mol

Therefore, the 2.00 L sample of pure oxygen gas at STP contains 0.0896 moles of oxygen.

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Answer:

120

Step-by-step explanation:

480 total

1/2 = 240 are cows

1/8 = 60 are goats

remaining = 480-240-60 = 180 are chickens & ducks

33.3333% of 180 = chickens  =180/3 = 60 chickens

so ducks = 180-60 =120

Answer:

120

Step-by-step explanation:

given that out of 480 animals 0.5 of the animals are cows . So ,

no. of cows = 0.5*480 = 240

Again, we are given that 1/8 of the animals are goats , so the number of goats would be ,

no. of goats = 1/8*480 = 60

Total no. of goats and cows ,

= 240 + 60 = 300

No. of remaining animals= 480 -300 = 180

Now out of these 180 animals 33⅓ % animals are chickens and remaining are ducks.

Percentage of ducks = (100 - 33⅓ )% = 66.67%

So the number of ducks would be ,

180 * 66.67/100 = 120

And we are done!

Answer:30$ - 15% = 25.5 usd

Step-by-step explanation:

Answer:

P - (P*0.15)

this works because it's the original price with the discount being subtracted from it.

Step-by-step explanation:

Answer:

3)

Each stripe is 1/18 yards thick, and the fence post if 5/6 yards. Therefore, we have to find how many 1/18s can go into 5/6. Thus, this is a matter of division, and we do 5/6 divided by 1/18 to find how many stripes we can have.

5/6 ÷ 1/18 = 5/6 * 18 = 15

Thus, the answer is D.

4) A is 3, which means we substitute all the "a"s in the expression for 3. Thus we have:

99 - 7\(a^{2}\)

99 - 7(3)^2

99 - 7(9)

99 - 63 = 36

Therefore, it is 36.

Answer:

Step-by-step explanation:

Since the base x is consistent with all terms of this complex fraction, all you need to do is add the two exponents found in the numerator and from that, subtract the exponent in the denominator.

This gives us x^(3/5) divided by x^(4/5), which is x^(-1/5). This gives 1/x^(1/5), which is 1 divided by the fifth root of x.

Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.

Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.

Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.

Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.

Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.

Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.

Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.

Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.

The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.

In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.

Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.

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Answer:

one number is 8 and other is 4

Step-by-step explanation:

So we can say x+y=12.

And 3x+5y=44

For x+y=12, we can subtract x to get: y=12-x

Plug that in to get 3x+5(12-x)=44

3x+60-5x=44

Subtract 44: -2x+16=0

2x=16

x=8

12-8=4.

Answer:

13x

because you would comibne like terms, so you add the 8 and 5.

Answer:

x=0

Step-by-step explanation:

Simplifying

8x + 5x = 0

Combine like terms: 8x + 5x = 13x

13x = 0

Solving

13x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '13'.

x = 0

Simplifying

x = 0

Answer:

Step-by-step explanation:

slope intercept form: y = mx + b ............where m is slope and b is y-intercept

1st question:

4x + y = 1

y = 1 - 4x

y = -4x + 1

2nd question:

x + 2y = 9

2y = 9 -x

y = (-x + 9)/2

y = \(-\frac{1}{2}x + 4.5\)

Answer:

the answer is -5 hope this is helpfull

Step-by-step explanation:

Answer:

4x-6y-3

Step-by-step explanation:

4x-2(3y)-3

put the things that look the same together

The solution to the system of equations is (45, –30)

The equations are given as:

y =-4/5x + 6

y = –30

Substitute y = –30  in y =-4/5x + 6

-30 =-4/5x + 6

Subtract 6 from both sides

-36 = -4/5x

Divide both sides by -4

9 = 1/5x

Multiply both sides by 5

x = 45

So, we have:

(x,y) = (45, –30)

Hence, the solution to the system of equations is (45, –30)

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Answer:

(45, –30)

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

(a) The value of st from the second constraint into the first constraint is yt = ct + (ct+1 - ct) = 2ct + ct+1, (b) The constraint for ct+1 is yt - 2ct, (c) u(ct) = ln(ct) + βln(yt - 2ct), (d) u'(ct) = 1/ct - 2β/(yt - 2ct), (e) 1/ct = 2β/(yt - 2ct), (f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice, (g) β = 0.9524.

(a) To combine the two constraints, we can substitute the value of st from the second constraint into the first constraint:

yt = ct + st
yt = ct + (ct+1 - ct) = 2ct + ct+1

(b) Solving the constraint for ct+1, we get:

yt = 2ct + ct+1
ct+1 = yt - 2ct

(c) Plugging the constraint into ct+1 in the utility function, we have:

u(ct) = ln(ct) + βln(yt - 2ct)

(d) Differentiating the utility function with respect to ct, we get:

u'(ct) = 1/ct - 2β/(yt - 2ct)

(e) To derive the Euler Equation, we set the derivative of the utility function with respect to ct equal to 0:

0 = 1/ct - 2β/(yt - 2ct)

Simplifying, we have:

1/ct = 2β/(yt - 2ct)

(f) The intuitive interpretation of the Euler Equation is that it represents the optimal intertemporal consumption choice. It states that the marginal benefit of consuming one additional unit today (1/ct) is equal to the discounted marginal benefit of consuming one additional unit tomorrow (2β/(yt - 2ct)).

(g) If rho=0.05 and the real interest rate is 3%, we can calculate the value of β:

β = 1/(1+rho)

= 1/(1+0.05)

= 0.9524

To determine whether ct or ct+1 is larger, we need more information.

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The volume of the cube that has a surface area of 96 in.² is calculated as: 64 in.³.

A cube is a three-dimensional shape that has equal side edges of the same edge. Where a is the length of the edge of a cube, we have the following formulas:

Surface area of a cube = 6a².

Volume of a cube = a³.

Given the following:

Surface area of the cube = 96 in.².

Find the value of a, which is the length of each edge of the cube:

6a² = 96

6a²/6 = 96/6 [division property of equality]

a² = 16

Take the square root of both sides

a = √16

a = 4 in.

Find the volume of the cube:

Volume of the cube = a³ = 4³

Volume of the cube = 64 in.³

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The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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SOLUTION:

Case: Ratios

A ratio says how much of one thing there is compared to another thing.

Given:

30 women and 28 men in a school marching brand

Required: Get the ratio of women to men

Method:

Step 1: Expressing as ratio:

30 women: 28 men

Step 2:

30:28

Divide both by 2

15:14

Final answer:

Simplest ratio is 15:14 OR 15/14

Answer:

D. A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Step-by-step explanation:

A reflection over the x-axis, 90° clockwise rotation around the origin, and a translation down 1 unit would map shape 1 onto shape 2.

Answer:

The answer is A) 1 1/4, I hope it helps

Answer:

x = 5/4

answer is A

Step-by-step explanation:

Answer: what is the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combined, it is option C.  {x | x < -4 or x > 4}

The values of determinant ,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right| = 72\)

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right| = - 12\)

The given determinant is,

\(\left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right| = -6\)

This is possible when we take,

a = -1 , e = 1, i = 6, b = c = 1

And d = g = h = 0

The the determinant becomes,

\(\left|\begin{array}{ccc}-1&1&1\\0&1&1\\0&0&6\end{array}\right|\)

Since this is an upper triangular matrix,

Therefore,

Determinant be the product of diagonal element,

Thus,

⇒  -1x1x6 = -6

Now using these values we can calculate the further given determinants,

Q4: Given that,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right|\)

Therefore put the values of a, b, c, d, e, f, g, h, and i defined above,

\(\left|\begin{array}{ccc}3(-1)&3(1)&3(1)\\0&-1&-1\\0&0&4(6)\end{array}\right|\)

Therefore, Determinant be,

⇒ -3 x  (-1) x 24 = 72

Hence,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right| = 72\)

Q5 : Given determinant is,

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right|\)

put the values of a, b, c, d, e, f, g, h, and i defined above,

we get,

\(\left|\begin{array}{ccc}-1&1&1\\0&2&2\\-3&3&9\end{array}\right|\)

= -1(12) -1(6) + 1(6)

= -12

Hence, The determinant be

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right| = - 12\)

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The complete question is attached below:

y=-4x+7

the -4 is the slope and the 7 is the y-intercept

The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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